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authoreschnett <>2001-03-01 11:40:00 +0000
committereschnett <>2001-03-01 11:40:00 +0000
commit310f0ea48d18866b773136aed11200b6eda6378b (patch)
tree445d3e34ce8b89812994b6614f7bc9f4acbc7fe2 /CarpetExtra/HydroToy
Initial revision
darcs-hash:20010301114010-f6438-12fb8a9ffcc80e86c0a97e37b5b0dae0dbc59b79.gz
Diffstat (limited to 'CarpetExtra/HydroToy')
-rw-r--r--CarpetExtra/HydroToy/README7
-rw-r--r--CarpetExtra/HydroToy/configuration.ccl4
-rw-r--r--CarpetExtra/HydroToy/interface.ccl21
-rw-r--r--CarpetExtra/HydroToy/par/convtest.gnuplot25
-rw-r--r--CarpetExtra/HydroToy/par/hydrotoy_periodic.par58
-rw-r--r--CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse.par58
-rw-r--r--CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl2.par64
-rw-r--r--CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl3.par64
-rw-r--r--CarpetExtra/HydroToy/par/hydrotoy_periodic_rl2.par64
-rw-r--r--CarpetExtra/HydroToy/par/hydrotoy_periodic_rl3.par64
-rw-r--r--CarpetExtra/HydroToy/param.ccl19
-rw-r--r--CarpetExtra/HydroToy/schedule.ccl45
-rw-r--r--CarpetExtra/HydroToy/src/HydroToy.F77186
-rw-r--r--CarpetExtra/HydroToy/src/InitSymBound.F7722
-rw-r--r--CarpetExtra/HydroToy/src/Startup.F7715
-rw-r--r--CarpetExtra/HydroToy/src/make.code.defn9
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.log126
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.par46
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.xl170
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.yl219
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.zl275
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.xl170
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.yl219
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.zl275
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.xl170
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.yl219
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.zl275
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.xl170
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.yl219
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.zl275
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.xl170
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.yl219
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.zl275
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.xl170
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.yl219
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.zl275
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.xl170
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.yl219
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.zl275
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.xl170
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.yl219
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.zl275
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.log139
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.par52
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.xl482
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.yl622
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.zl782
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.xl482
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.yl622
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.zl782
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.xl482
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.yl622
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.zl782
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.xl482
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.yl622
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.zl782
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.xl482
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.yl622
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.zl782
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.xl482
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.yl622
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.zl782
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.xl482
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.yl622
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.zl782
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.xl482
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.yl622
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.zl782
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.log164
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.par52
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.xl1082
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.yl1397
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.zl1757
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.xl1082
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.yl1397
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.zl1757
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.xl1082
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.yl1397
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.zl1757
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.xl1082
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.yl1397
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.zl1757
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.xl1082
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.yl1397
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.zl1757
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.xl1082
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.yl1397
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.zl1757
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.xl1082
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.yl1397
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.zl1757
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.xl1082
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.yl1397
-rw-r--r--CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.zl1757
94 files changed, 55592 insertions, 0 deletions
diff --git a/CarpetExtra/HydroToy/README b/CarpetExtra/HydroToy/README
new file mode 100644
index 000000000..6608aa07d
--- /dev/null
+++ b/CarpetExtra/HydroToy/README
@@ -0,0 +1,7 @@
+Cactus Code Thorn HydroToy
+Authors : Erik Schnetter <schnetter@uni-tuebingen.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/README,v 1.1 2001/03/18 22:37:09 eschnett Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
diff --git a/CarpetExtra/HydroToy/configuration.ccl b/CarpetExtra/HydroToy/configuration.ccl
new file mode 100644
index 000000000..2f55074f1
--- /dev/null
+++ b/CarpetExtra/HydroToy/configuration.ccl
@@ -0,0 +1,4 @@
+# Configuration definition for thorn Carpet/HydroToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/configuration.ccl,v 1.2 2004/04/18 14:10:30 schnetter Exp $
+
+REQUIRES Boundary Cart3d
diff --git a/CarpetExtra/HydroToy/interface.ccl b/CarpetExtra/HydroToy/interface.ccl
new file mode 100644
index 000000000..09e8bf099
--- /dev/null
+++ b/CarpetExtra/HydroToy/interface.ccl
@@ -0,0 +1,21 @@
+# Interface definition for thorn HydroToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/interface.ccl,v 1.3 2001/12/07 18:27:08 schnetter Exp $
+
+implements: hydrotoy
+inherits: boundary grid
+
+
+
+public:
+
+CCTK_REAL hydroevolve type=GF timelevels=3
+{
+ u vx vy vz
+} "The evolve hydro fields"
+
+private:
+
+CCTK_REAL hydrotemps type=GF
+{
+ u_i vx_i vy_i vz_i
+} "Intermediate vales for the integrator"
diff --git a/CarpetExtra/HydroToy/par/convtest.gnuplot b/CarpetExtra/HydroToy/par/convtest.gnuplot
new file mode 100644
index 000000000..15eb3716b
--- /dev/null
+++ b/CarpetExtra/HydroToy/par/convtest.gnuplot
@@ -0,0 +1,25 @@
+# initialise
+kx=0.222222222222222
+ky=0.151515151515152
+kz=0.222222222222222
+omega=sqrt(kx**2 + ky**2 + kz**2)
+
+
+
+# without refinement
+
+# solutions
+p "hydrotoy_periodic/u.zl" u ($8-1):($1==time&&$3==0?$9:0/0) w lp, "hydrotoy_periodic_coarse/u.zl" u (2*($8-1)):(2*$1==time&&$3==0?$9:0/0) w lp, cos((kz*(0.3*x-9) + omega*(0.15*time))*pi) w l
+
+# errors
+p "hydrotoy_periodic/u.zl" u ($8-1):($1==time&&$3==0?$9-cos((kz*(0.3*($8-1)-9) + omega*(0.15*time))*pi):0/0) w lp, "hydrotoy_periodic_coarse/u.zl" u (2*($8-1)):(2*$1==time&&$3==0?$9-cos((kz*(0.3*(2*($8-1))-9) + omega*(0.15*time))*pi):0/0) w lp
+
+
+
+# with refinement
+
+# solutions
+p "hydrotoy_periodic_rl2/u.zl" u ($8-2):($1==time&&$3==0?$9:0/0) w lp, "hydrotoy_periodic_coarse_rl2/u.zl" u (2*($8-2)):(2*$1==time&&$3==0?$9:0/0) w lp, cos((kz*(0.15*x-9) + omega*(0.075*time))*pi) w l
+
+# errors
+p "hydrotoy_periodic_rl2/u.zl" u ($8-2):($1==time&&$3==0?$9-cos((kz*(0.15*($8-2)-9) + omega*(0.075*time))*pi):0/0) w lp, "hydrotoy_periodic_coarse_rl2/u.zl" u (2*($8-2)):(2*$1==time&&$3==0?$9-cos((kz*(0.15*(2*($8-2))-9) + omega*(0.075*time))*pi):0/0) w lp
diff --git a/CarpetExtra/HydroToy/par/hydrotoy_periodic.par b/CarpetExtra/HydroToy/par/hydrotoy_periodic.par
new file mode 100644
index 000000000..19da43136
--- /dev/null
+++ b/CarpetExtra/HydroToy/par/hydrotoy_periodic.par
@@ -0,0 +1,58 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/par/hydrotoy_periodic.par,v 1.8 2004/03/23 12:00:04 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 34
+driver::global_ny = 48
+driver::global_nz = 64
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -5.1
+grid::ymin = -6.9
+grid::zmin = -9.3
+grid::xmax = 4.8
+grid::ymax = 7.2
+grid::zmax = 9.6
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 24
+IOFlexIO::out3D_vars = "hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse.par b/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse.par
new file mode 100644
index 000000000..7a27a685e
--- /dev/null
+++ b/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse.par
@@ -0,0 +1,58 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse.par,v 1.7 2004/03/23 12:00:04 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 60
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_coarse"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 12
+IOFlexIO::out3D_vars = "hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl2.par b/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl2.par
new file mode 100644
index 000000000..fe9ac250a
--- /dev/null
+++ b/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl2.par
@@ -0,0 +1,64 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl2.par,v 1.8 2004/03/23 12:00:04 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_coarse_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 24
+IOFlexIO::out3D_vars = "hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl3.par b/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl3.par
new file mode 100644
index 000000000..4229b977f
--- /dev/null
+++ b/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl3.par
@@ -0,0 +1,64 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl3.par,v 1.8 2004/03/23 12:00:04 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 3
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_coarse_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 48
+IOFlexIO::out3D_vars = "hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl2.par b/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl2.par
new file mode 100644
index 000000000..f9612d03c
--- /dev/null
+++ b/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl2.par
@@ -0,0 +1,64 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl2.par,v 1.8 2004/03/23 12:00:04 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduc CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 34
+driver::global_ny = 48
+driver::global_nz = 64
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.1
+grid::ymin = -6.9
+grid::zmin = -9.3
+grid::xmax = 4.8
+grid::ymax = 7.2
+grid::zmax = 9.6
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 48
+IOFlexIO::out3D_vars = "hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl3.par b/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl3.par
new file mode 100644
index 000000000..a05ac4719
--- /dev/null
+++ b/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl3.par
@@ -0,0 +1,64 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl3.par,v 1.8 2004/03/23 12:00:04 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 480
+
+Time::dtfac = 0.5
+
+driver::global_nx = 34
+driver::global_ny = 48
+driver::global_nz = 64
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.1
+grid::ymin = -6.9
+grid::zmin = -9.3
+grid::xmax = 4.8
+grid::ymax = 7.2
+grid::zmax = 9.6
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 96
+IOFlexIO::out3D_vars = "hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/param.ccl b/CarpetExtra/HydroToy/param.ccl
new file mode 100644
index 000000000..d27dbef12
--- /dev/null
+++ b/CarpetExtra/HydroToy/param.ccl
@@ -0,0 +1,19 @@
+# Parameter definitions for thorn HydroToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/param.ccl,v 1.3 2001/08/26 13:59:38 schnetter Exp $
+
+restricted:
+
+BOOLEAN hydrotoy_active "Activate or deactivate the HydroToy thorn"
+{
+} "yes"
+
+private:
+
+KEYWORD bound "Type of boundary condition to use"
+{
+ "none" :: "No boundary condition"
+ "flat" :: "Flat boundary condition"
+ "radiation" :: "Radiation boundary condition"
+ "robin" :: "Robin boundary condition"
+ "zero" :: "Zero boundary condition"
+} "zero"
diff --git a/CarpetExtra/HydroToy/schedule.ccl b/CarpetExtra/HydroToy/schedule.ccl
new file mode 100644
index 000000000..2a1e5d536
--- /dev/null
+++ b/CarpetExtra/HydroToy/schedule.ccl
@@ -0,0 +1,45 @@
+# Schedule definitions for thorn HydroToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/schedule.ccl,v 1.4 2003/11/05 16:18:39 schnetter Exp $
+
+if (hydrotoy_active) {
+
+
+
+STORAGE: hydroevolve[3]
+
+
+
+# Startup
+
+schedule HydroToy_Startup at STARTUP
+{
+ LANG: Fortran
+} "Register banner"
+
+schedule HydroToy_InitSymBound at BASEGRID
+{
+ LANG: Fortran
+ OPTIONS: global
+} "Schedule symmetries"
+
+
+
+# Euler Predictor-Corrector integration
+
+schedule HydroToy_EulerPredictor at EVOL
+{
+ LANG: Fortran
+ STORAGE: hydrotemps
+ SYNC: hydroevolve
+} "Euler predictor step"
+
+schedule HydroToy_EulerCorrector at EVOL after HydroToy_EulerPredictor
+{
+ LANG: Fortran
+ STORAGE: hydrotemps
+ SYNC: hydroevolve
+} "Euler corrector step"
+
+
+
+}
diff --git a/CarpetExtra/HydroToy/src/HydroToy.F77 b/CarpetExtra/HydroToy/src/HydroToy.F77
new file mode 100644
index 000000000..559f66497
--- /dev/null
+++ b/CarpetExtra/HydroToy/src/HydroToy.F77
@@ -0,0 +1,186 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/src/HydroToy.F77,v 1.7 2003/11/05 16:18:39 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+
+
+ subroutine HydroToy_EulerPredictor (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ integer i,j,k
+
+c Copy
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ u_i(i,j,k) = u_p(i,j,k)
+ vx_i(i,j,k) = vx_p(i,j,k)
+ vy_i(i,j,k) = vy_p(i,j,k)
+ vz_i(i,j,k) = vz_p(i,j,k)
+
+ end do
+ end do
+ end do
+
+c Evolve
+ call HydroToy_Step (CCTK_PASS_FTOF)
+
+c Apply boundaries
+ call HydroToy_Boundaries (CCTK_PASS_FTOF)
+
+ end
+
+
+
+ subroutine HydroToy_EulerCorrector (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL two, half
+ parameter (two=2, half=1/two)
+
+ integer i,j,k
+
+c Copy
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ u_i(i,j,k) = u(i,j,k)
+ vx_i(i,j,k) = vx(i,j,k)
+ vy_i(i,j,k) = vy(i,j,k)
+ vz_i(i,j,k) = vz(i,j,k)
+
+ end do
+ end do
+ end do
+
+c Evolve
+ call HydroToy_Step (CCTK_PASS_FTOF)
+
+c Average
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ u(i,j,k) = half * (u_p(i,j,k) + u(i,j,k))
+ vx(i,j,k) = half * (vx_p(i,j,k) + vx(i,j,k))
+ vy(i,j,k) = half * (vy_p(i,j,k) + vy(i,j,k))
+ vz(i,j,k) = half * (vz_p(i,j,k) + vz(i,j,k))
+
+ end do
+ end do
+ end do
+
+c Apply boundaries
+ call HydroToy_Boundaries (CCTK_PASS_FTOF)
+
+ end
+
+
+
+ subroutine HydroToy_Step (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL dx,dy,dz,dt
+ integer i,j,k
+
+ dx = CCTK_DELTA_SPACE(1)
+ dy = CCTK_DELTA_SPACE(2)
+ dz = CCTK_DELTA_SPACE(3)
+ dt = CCTK_DELTA_TIME
+
+c Evolve
+ do k=1+cctk_nghostzones(3),cctk_lsh(3)-cctk_nghostzones(3)
+ do j=1+cctk_nghostzones(2),cctk_lsh(2)-cctk_nghostzones(2)
+ do i=1+cctk_nghostzones(1),cctk_lsh(1)-cctk_nghostzones(1)
+
+ u(i,j,k) = u_i(i,j,k)
+ $ + dt * (vx_i(i+1,j,k) - vx_i(i-1,j,k)) / (2*dx)
+ $ + dt * (vy_i(i,j+1,k) - vy_i(i,j-1,k)) / (2*dy)
+ $ + dt * (vz_i(i,j,k+1) - vz_i(i,j,k-1)) / (2*dz)
+
+ vx(i,j,k) = vx_i(i,j,k)
+ $ + dt * (u_i(i+1,j,k) - u_i(i-1,j,k)) / (2*dx)
+ vy(i,j,k) = vy_i(i,j,k)
+ $ + dt * (u_i(i,j+1,k) - u_i(i,j-1,k)) / (2*dy)
+ vz(i,j,k) = vz_i(i,j,k)
+ $ + dt * (u_i(i,j,k+1) - u_i(i,j,k-1)) / (2*dz)
+
+ end do
+ end do
+ end do
+
+ end
+
+
+
+ subroutine HydroToy_Boundaries (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL zero, one
+ parameter (zero=0, one=1)
+
+ CCTK_REAL finf
+ parameter (finf=1)
+ integer npow
+ parameter (npow=1)
+
+ integer sw(3)
+ integer ierr
+
+ sw(1) = cctk_nghostzones(1)
+ sw(2) = cctk_nghostzones(2)
+ sw(3) = cctk_nghostzones(3)
+
+c Apply boundary condition
+ if (CCTK_EQUALS(bound, "flat")) then
+ call BndFlatGN (ierr, cctkGH, sw, "hydrotoy::hydroevolve")
+ else if (CCTK_EQUALS(bound, "zero")) then
+ call BndScalarGN (ierr, cctkGH, sw, zero,
+ $ "hydrotoy::hydroevolve")
+ else if (CCTK_EQUALS(bound, "radiation")) then
+ call BndRadiativeGN (ierr, cctkGH, sw, zero, one,
+ $ "hydrotoy::hydroevolve", "hydrotoy::hydroevolve")
+ else if (CCTK_EQUALS(bound, "robin")) then
+ call BndRobinGN (ierr, cctkGH, sw, finf, npow,
+ $ "hydrotoy::hydroevolve")
+ else if (CCTK_EQUALS(bound, "none")) then
+ ierr = 0
+ else
+ call CCTK_WARN (0, "internal error")
+ end if
+ if (ierr .lt. 0) then
+ call CCTK_WARN (0, "Error while applying boundary condition")
+ end if
+
+ call Cart3dSymGN (ierr, cctkGH, "hydrotoy::hydroevolve")
+ if (ierr .lt. 0) then
+ call CCTK_WARN (0, "Error while applying boundary condition")
+ end if
+
+ end
diff --git a/CarpetExtra/HydroToy/src/InitSymBound.F77 b/CarpetExtra/HydroToy/src/InitSymBound.F77
new file mode 100644
index 000000000..20fb46456
--- /dev/null
+++ b/CarpetExtra/HydroToy/src/InitSymBound.F77
@@ -0,0 +1,22 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/src/InitSymBound.F77,v 1.3 2003/11/05 16:18:39 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine HydroToy_InitSymBound (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ integer ierr
+
+ call Cart3dSetTensorTypeVN (ierr, cctkGH, "HydroToy::u", "scalar")
+ call Cart3dSetTensorTypeVN (ierr, cctkGH, "HydroToy::vx HydroToy::vy HydroToy::vz", "vector")
+
+ end
diff --git a/CarpetExtra/HydroToy/src/Startup.F77 b/CarpetExtra/HydroToy/src/Startup.F77
new file mode 100644
index 000000000..59c520b21
--- /dev/null
+++ b/CarpetExtra/HydroToy/src/Startup.F77
@@ -0,0 +1,15 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/src/Startup.F77,v 1.1 2001/03/18 22:37:09 eschnett Exp $
+
+#include "cctk.h"
+
+ subroutine HydroToy_Startup
+
+ implicit none
+
+ integer ierr
+
+ call CCTK_RegisterBanner
+ $ (ierr, "HydroToy: Evolutions of a Scalar and a Vector Field")
+
+ end
diff --git a/CarpetExtra/HydroToy/src/make.code.defn b/CarpetExtra/HydroToy/src/make.code.defn
new file mode 100644
index 000000000..3a7f14213
--- /dev/null
+++ b/CarpetExtra/HydroToy/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn HydroToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/src/make.code.defn,v 1.1 2001/03/18 22:37:09 eschnett Exp $
+
+# Source files in this directory
+SRCS = HydroToy.F77 InitSymBound.F77 Startup.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.log b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.log
new file mode 100644
index 000000000..3fcd86780
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.log
@@ -0,0 +1,126 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Nov 30 2001 (15:23:02)
+Run date: Dec 3 2001 (11:14:20)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/HydroToy/test/hydrotoy_periodic_coarse.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetSlab IDHydroToy HydroToy<---
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetIOFlexIO...Success -> active implementation IOFlexIO
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn HydroToy...Success -> active implementation hydrotoy
+Activating thorn IDHydroToy...Success -> active implementation idhydrotoy
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Time...Success -> active implementation time
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ CarpetIOFlexIO: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ HydroToy: Register banner
+ IDHydroToy: Register banner
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ HydroToy: Schedule symmetries
+ Time: Initialise Time variables
+ Time: Set timestep based on Courant condition
+ CarpetIOFlexIO: Read initial data from file
+ IDHydroToy: Initial data for 3D wave equation
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ HydroToy: Euler predictor step
+ HydroToy: Euler corrector step
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 3D FlexIO I/O provided by CarpetIOFlexIO
+--------------------------------------------------------------------------------
+HydroToy: Evolutions of a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+IDHydroToy: Initial data for a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-5.4, -7.2, -9.6]
+INFO (Cart3d): Whole grid: upper bound [5.4, 7.8, 10.2]
+INFO (Cart3d): Whole grid: extent [11.4, 15.6, 20.4]
+INFO (Cart3d): Interior: lower bound [-4.2, -6, -8.4]
+INFO (Cart3d): Interior: upper bound [4.2, 6.6, 9]
+INFO (Cart3d): Interior: extent [9, 13.2, 18]
+INFO (Cart3d): Grid spacing: [0.6, 0.6, 0.6]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every 1 iterations
+------------------
+ it | |
+ | t |
+------------------
+ 0 | 0.000 |
+ 1 | 0.300 |
+ 2 | 0.600 |
+ 3 | 0.900 |
+ 4 | 1.200 |
+ 5 | 1.500 |
+ 6 | 1.800 |
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.par b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.par
new file mode 100644
index 000000000..15daebd2f
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.par
@@ -0,0 +1,46 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.par,v 1.4 2004/03/23 12:00:04 schnetter Exp $
+
+!DESC "HydroToy with periodic boundaries, no refinement"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 6
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_coarse"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.xl
new file mode 100644
index 000000000..4e6fc8f78
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.xl
@@ -0,0 +1,170 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -5.4
+0 0 0 0 0 1 12 16 -4.8
+0 0 0 0 0 2 12 16 -4.2
+0 0 0 0 0 3 12 16 -3.6
+0 0 0 0 0 4 12 16 -3
+0 0 0 0 0 5 12 16 -2.4
+0 0 0 0 0 6 12 16 -1.8
+0 0 0 0 0 7 12 16 -1.2
+0 0 0 0 0 8 12 16 -0.6
+0 0 0 0 0 9 12 16 4.44089209850063e-16
+0 0 0 0 0 10 12 16 0.600000000000001
+0 0 0 0 0 11 12 16 1.2
+0 0 0 0 0 12 12 16 1.8
+0 0 0 0 0 13 12 16 2.4
+0 0 0 0 0 14 12 16 3
+0 0 0 0 0 15 12 16 3.6
+0 0 0 0 0 16 12 16 4.2
+0 0 0 0 0 17 12 16 4.8
+0 0 0 0 0 18 12 16 5.4
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -5.4
+1 0 0 0 0 1 12 16 -4.8
+1 0 0 0 0 2 12 16 -4.2
+1 0 0 0 0 3 12 16 -3.6
+1 0 0 0 0 4 12 16 -3
+1 0 0 0 0 5 12 16 -2.4
+1 0 0 0 0 6 12 16 -1.8
+1 0 0 0 0 7 12 16 -1.2
+1 0 0 0 0 8 12 16 -0.6
+1 0 0 0 0 9 12 16 4.44089209850063e-16
+1 0 0 0 0 10 12 16 0.600000000000001
+1 0 0 0 0 11 12 16 1.2
+1 0 0 0 0 12 12 16 1.8
+1 0 0 0 0 13 12 16 2.4
+1 0 0 0 0 14 12 16 3
+1 0 0 0 0 15 12 16 3.6
+1 0 0 0 0 16 12 16 4.2
+1 0 0 0 0 17 12 16 4.8
+1 0 0 0 0 18 12 16 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -5.4
+2 0 0 0 0 1 12 16 -4.8
+2 0 0 0 0 2 12 16 -4.2
+2 0 0 0 0 3 12 16 -3.6
+2 0 0 0 0 4 12 16 -3
+2 0 0 0 0 5 12 16 -2.4
+2 0 0 0 0 6 12 16 -1.8
+2 0 0 0 0 7 12 16 -1.2
+2 0 0 0 0 8 12 16 -0.6
+2 0 0 0 0 9 12 16 4.44089209850063e-16
+2 0 0 0 0 10 12 16 0.600000000000001
+2 0 0 0 0 11 12 16 1.2
+2 0 0 0 0 12 12 16 1.8
+2 0 0 0 0 13 12 16 2.4
+2 0 0 0 0 14 12 16 3
+2 0 0 0 0 15 12 16 3.6
+2 0 0 0 0 16 12 16 4.2
+2 0 0 0 0 17 12 16 4.8
+2 0 0 0 0 18 12 16 5.4
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -5.4
+3 0 0 0 0 1 12 16 -4.8
+3 0 0 0 0 2 12 16 -4.2
+3 0 0 0 0 3 12 16 -3.6
+3 0 0 0 0 4 12 16 -3
+3 0 0 0 0 5 12 16 -2.4
+3 0 0 0 0 6 12 16 -1.8
+3 0 0 0 0 7 12 16 -1.2
+3 0 0 0 0 8 12 16 -0.6
+3 0 0 0 0 9 12 16 4.44089209850063e-16
+3 0 0 0 0 10 12 16 0.600000000000001
+3 0 0 0 0 11 12 16 1.2
+3 0 0 0 0 12 12 16 1.8
+3 0 0 0 0 13 12 16 2.4
+3 0 0 0 0 14 12 16 3
+3 0 0 0 0 15 12 16 3.6
+3 0 0 0 0 16 12 16 4.2
+3 0 0 0 0 17 12 16 4.8
+3 0 0 0 0 18 12 16 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -5.4
+4 0 0 0 0 1 12 16 -4.8
+4 0 0 0 0 2 12 16 -4.2
+4 0 0 0 0 3 12 16 -3.6
+4 0 0 0 0 4 12 16 -3
+4 0 0 0 0 5 12 16 -2.4
+4 0 0 0 0 6 12 16 -1.8
+4 0 0 0 0 7 12 16 -1.2
+4 0 0 0 0 8 12 16 -0.6
+4 0 0 0 0 9 12 16 4.44089209850063e-16
+4 0 0 0 0 10 12 16 0.600000000000001
+4 0 0 0 0 11 12 16 1.2
+4 0 0 0 0 12 12 16 1.8
+4 0 0 0 0 13 12 16 2.4
+4 0 0 0 0 14 12 16 3
+4 0 0 0 0 15 12 16 3.6
+4 0 0 0 0 16 12 16 4.2
+4 0 0 0 0 17 12 16 4.8
+4 0 0 0 0 18 12 16 5.4
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -5.4
+5 0 0 0 0 1 12 16 -4.8
+5 0 0 0 0 2 12 16 -4.2
+5 0 0 0 0 3 12 16 -3.6
+5 0 0 0 0 4 12 16 -3
+5 0 0 0 0 5 12 16 -2.4
+5 0 0 0 0 6 12 16 -1.8
+5 0 0 0 0 7 12 16 -1.2
+5 0 0 0 0 8 12 16 -0.6
+5 0 0 0 0 9 12 16 4.44089209850063e-16
+5 0 0 0 0 10 12 16 0.600000000000001
+5 0 0 0 0 11 12 16 1.2
+5 0 0 0 0 12 12 16 1.8
+5 0 0 0 0 13 12 16 2.4
+5 0 0 0 0 14 12 16 3
+5 0 0 0 0 15 12 16 3.6
+5 0 0 0 0 16 12 16 4.2
+5 0 0 0 0 17 12 16 4.8
+5 0 0 0 0 18 12 16 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -5.4
+6 0 0 0 0 1 12 16 -4.8
+6 0 0 0 0 2 12 16 -4.2
+6 0 0 0 0 3 12 16 -3.6
+6 0 0 0 0 4 12 16 -3
+6 0 0 0 0 5 12 16 -2.4
+6 0 0 0 0 6 12 16 -1.8
+6 0 0 0 0 7 12 16 -1.2
+6 0 0 0 0 8 12 16 -0.6
+6 0 0 0 0 9 12 16 4.44089209850063e-16
+6 0 0 0 0 10 12 16 0.600000000000001
+6 0 0 0 0 11 12 16 1.2
+6 0 0 0 0 12 12 16 1.8
+6 0 0 0 0 13 12 16 2.4
+6 0 0 0 0 14 12 16 3
+6 0 0 0 0 15 12 16 3.6
+6 0 0 0 0 16 12 16 4.2
+6 0 0 0 0 17 12 16 4.8
+6 0 0 0 0 18 12 16 5.4
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.yl
new file mode 100644
index 000000000..467676ecc
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.yl
@@ -0,0 +1,219 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 4.44089209850063e-16
+0 0 0 0 0 9 1 16 4.44089209850063e-16
+0 0 0 0 0 9 2 16 4.44089209850063e-16
+0 0 0 0 0 9 3 16 4.44089209850063e-16
+0 0 0 0 0 9 4 16 4.44089209850063e-16
+0 0 0 0 0 9 5 16 4.44089209850063e-16
+0 0 0 0 0 9 6 16 4.44089209850063e-16
+0 0 0 0 0 9 7 16 4.44089209850063e-16
+0 0 0 0 0 9 8 16 4.44089209850063e-16
+0 0 0 0 0 9 9 16 4.44089209850063e-16
+0 0 0 0 0 9 10 16 4.44089209850063e-16
+0 0 0 0 0 9 11 16 4.44089209850063e-16
+0 0 0 0 0 9 12 16 4.44089209850063e-16
+0 0 0 0 0 9 13 16 4.44089209850063e-16
+0 0 0 0 0 9 14 16 4.44089209850063e-16
+0 0 0 0 0 9 15 16 4.44089209850063e-16
+0 0 0 0 0 9 16 16 4.44089209850063e-16
+0 0 0 0 0 9 17 16 4.44089209850063e-16
+0 0 0 0 0 9 18 16 4.44089209850063e-16
+0 0 0 0 0 9 19 16 4.44089209850063e-16
+0 0 0 0 0 9 20 16 4.44089209850063e-16
+0 0 0 0 0 9 21 16 4.44089209850063e-16
+0 0 0 0 0 9 22 16 4.44089209850063e-16
+0 0 0 0 0 9 23 16 4.44089209850063e-16
+0 0 0 0 0 9 24 16 4.44089209850063e-16
+0 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 4.44089209850063e-16
+1 0 0 0 0 9 1 16 4.44089209850063e-16
+1 0 0 0 0 9 2 16 4.44089209850063e-16
+1 0 0 0 0 9 3 16 4.44089209850063e-16
+1 0 0 0 0 9 4 16 4.44089209850063e-16
+1 0 0 0 0 9 5 16 4.44089209850063e-16
+1 0 0 0 0 9 6 16 4.44089209850063e-16
+1 0 0 0 0 9 7 16 4.44089209850063e-16
+1 0 0 0 0 9 8 16 4.44089209850063e-16
+1 0 0 0 0 9 9 16 4.44089209850063e-16
+1 0 0 0 0 9 10 16 4.44089209850063e-16
+1 0 0 0 0 9 11 16 4.44089209850063e-16
+1 0 0 0 0 9 12 16 4.44089209850063e-16
+1 0 0 0 0 9 13 16 4.44089209850063e-16
+1 0 0 0 0 9 14 16 4.44089209850063e-16
+1 0 0 0 0 9 15 16 4.44089209850063e-16
+1 0 0 0 0 9 16 16 4.44089209850063e-16
+1 0 0 0 0 9 17 16 4.44089209850063e-16
+1 0 0 0 0 9 18 16 4.44089209850063e-16
+1 0 0 0 0 9 19 16 4.44089209850063e-16
+1 0 0 0 0 9 20 16 4.44089209850063e-16
+1 0 0 0 0 9 21 16 4.44089209850063e-16
+1 0 0 0 0 9 22 16 4.44089209850063e-16
+1 0 0 0 0 9 23 16 4.44089209850063e-16
+1 0 0 0 0 9 24 16 4.44089209850063e-16
+1 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 4.44089209850063e-16
+2 0 0 0 0 9 1 16 4.44089209850063e-16
+2 0 0 0 0 9 2 16 4.44089209850063e-16
+2 0 0 0 0 9 3 16 4.44089209850063e-16
+2 0 0 0 0 9 4 16 4.44089209850063e-16
+2 0 0 0 0 9 5 16 4.44089209850063e-16
+2 0 0 0 0 9 6 16 4.44089209850063e-16
+2 0 0 0 0 9 7 16 4.44089209850063e-16
+2 0 0 0 0 9 8 16 4.44089209850063e-16
+2 0 0 0 0 9 9 16 4.44089209850063e-16
+2 0 0 0 0 9 10 16 4.44089209850063e-16
+2 0 0 0 0 9 11 16 4.44089209850063e-16
+2 0 0 0 0 9 12 16 4.44089209850063e-16
+2 0 0 0 0 9 13 16 4.44089209850063e-16
+2 0 0 0 0 9 14 16 4.44089209850063e-16
+2 0 0 0 0 9 15 16 4.44089209850063e-16
+2 0 0 0 0 9 16 16 4.44089209850063e-16
+2 0 0 0 0 9 17 16 4.44089209850063e-16
+2 0 0 0 0 9 18 16 4.44089209850063e-16
+2 0 0 0 0 9 19 16 4.44089209850063e-16
+2 0 0 0 0 9 20 16 4.44089209850063e-16
+2 0 0 0 0 9 21 16 4.44089209850063e-16
+2 0 0 0 0 9 22 16 4.44089209850063e-16
+2 0 0 0 0 9 23 16 4.44089209850063e-16
+2 0 0 0 0 9 24 16 4.44089209850063e-16
+2 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 4.44089209850063e-16
+3 0 0 0 0 9 1 16 4.44089209850063e-16
+3 0 0 0 0 9 2 16 4.44089209850063e-16
+3 0 0 0 0 9 3 16 4.44089209850063e-16
+3 0 0 0 0 9 4 16 4.44089209850063e-16
+3 0 0 0 0 9 5 16 4.44089209850063e-16
+3 0 0 0 0 9 6 16 4.44089209850063e-16
+3 0 0 0 0 9 7 16 4.44089209850063e-16
+3 0 0 0 0 9 8 16 4.44089209850063e-16
+3 0 0 0 0 9 9 16 4.44089209850063e-16
+3 0 0 0 0 9 10 16 4.44089209850063e-16
+3 0 0 0 0 9 11 16 4.44089209850063e-16
+3 0 0 0 0 9 12 16 4.44089209850063e-16
+3 0 0 0 0 9 13 16 4.44089209850063e-16
+3 0 0 0 0 9 14 16 4.44089209850063e-16
+3 0 0 0 0 9 15 16 4.44089209850063e-16
+3 0 0 0 0 9 16 16 4.44089209850063e-16
+3 0 0 0 0 9 17 16 4.44089209850063e-16
+3 0 0 0 0 9 18 16 4.44089209850063e-16
+3 0 0 0 0 9 19 16 4.44089209850063e-16
+3 0 0 0 0 9 20 16 4.44089209850063e-16
+3 0 0 0 0 9 21 16 4.44089209850063e-16
+3 0 0 0 0 9 22 16 4.44089209850063e-16
+3 0 0 0 0 9 23 16 4.44089209850063e-16
+3 0 0 0 0 9 24 16 4.44089209850063e-16
+3 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 4.44089209850063e-16
+4 0 0 0 0 9 1 16 4.44089209850063e-16
+4 0 0 0 0 9 2 16 4.44089209850063e-16
+4 0 0 0 0 9 3 16 4.44089209850063e-16
+4 0 0 0 0 9 4 16 4.44089209850063e-16
+4 0 0 0 0 9 5 16 4.44089209850063e-16
+4 0 0 0 0 9 6 16 4.44089209850063e-16
+4 0 0 0 0 9 7 16 4.44089209850063e-16
+4 0 0 0 0 9 8 16 4.44089209850063e-16
+4 0 0 0 0 9 9 16 4.44089209850063e-16
+4 0 0 0 0 9 10 16 4.44089209850063e-16
+4 0 0 0 0 9 11 16 4.44089209850063e-16
+4 0 0 0 0 9 12 16 4.44089209850063e-16
+4 0 0 0 0 9 13 16 4.44089209850063e-16
+4 0 0 0 0 9 14 16 4.44089209850063e-16
+4 0 0 0 0 9 15 16 4.44089209850063e-16
+4 0 0 0 0 9 16 16 4.44089209850063e-16
+4 0 0 0 0 9 17 16 4.44089209850063e-16
+4 0 0 0 0 9 18 16 4.44089209850063e-16
+4 0 0 0 0 9 19 16 4.44089209850063e-16
+4 0 0 0 0 9 20 16 4.44089209850063e-16
+4 0 0 0 0 9 21 16 4.44089209850063e-16
+4 0 0 0 0 9 22 16 4.44089209850063e-16
+4 0 0 0 0 9 23 16 4.44089209850063e-16
+4 0 0 0 0 9 24 16 4.44089209850063e-16
+4 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 4.44089209850063e-16
+5 0 0 0 0 9 1 16 4.44089209850063e-16
+5 0 0 0 0 9 2 16 4.44089209850063e-16
+5 0 0 0 0 9 3 16 4.44089209850063e-16
+5 0 0 0 0 9 4 16 4.44089209850063e-16
+5 0 0 0 0 9 5 16 4.44089209850063e-16
+5 0 0 0 0 9 6 16 4.44089209850063e-16
+5 0 0 0 0 9 7 16 4.44089209850063e-16
+5 0 0 0 0 9 8 16 4.44089209850063e-16
+5 0 0 0 0 9 9 16 4.44089209850063e-16
+5 0 0 0 0 9 10 16 4.44089209850063e-16
+5 0 0 0 0 9 11 16 4.44089209850063e-16
+5 0 0 0 0 9 12 16 4.44089209850063e-16
+5 0 0 0 0 9 13 16 4.44089209850063e-16
+5 0 0 0 0 9 14 16 4.44089209850063e-16
+5 0 0 0 0 9 15 16 4.44089209850063e-16
+5 0 0 0 0 9 16 16 4.44089209850063e-16
+5 0 0 0 0 9 17 16 4.44089209850063e-16
+5 0 0 0 0 9 18 16 4.44089209850063e-16
+5 0 0 0 0 9 19 16 4.44089209850063e-16
+5 0 0 0 0 9 20 16 4.44089209850063e-16
+5 0 0 0 0 9 21 16 4.44089209850063e-16
+5 0 0 0 0 9 22 16 4.44089209850063e-16
+5 0 0 0 0 9 23 16 4.44089209850063e-16
+5 0 0 0 0 9 24 16 4.44089209850063e-16
+5 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 4.44089209850063e-16
+6 0 0 0 0 9 1 16 4.44089209850063e-16
+6 0 0 0 0 9 2 16 4.44089209850063e-16
+6 0 0 0 0 9 3 16 4.44089209850063e-16
+6 0 0 0 0 9 4 16 4.44089209850063e-16
+6 0 0 0 0 9 5 16 4.44089209850063e-16
+6 0 0 0 0 9 6 16 4.44089209850063e-16
+6 0 0 0 0 9 7 16 4.44089209850063e-16
+6 0 0 0 0 9 8 16 4.44089209850063e-16
+6 0 0 0 0 9 9 16 4.44089209850063e-16
+6 0 0 0 0 9 10 16 4.44089209850063e-16
+6 0 0 0 0 9 11 16 4.44089209850063e-16
+6 0 0 0 0 9 12 16 4.44089209850063e-16
+6 0 0 0 0 9 13 16 4.44089209850063e-16
+6 0 0 0 0 9 14 16 4.44089209850063e-16
+6 0 0 0 0 9 15 16 4.44089209850063e-16
+6 0 0 0 0 9 16 16 4.44089209850063e-16
+6 0 0 0 0 9 17 16 4.44089209850063e-16
+6 0 0 0 0 9 18 16 4.44089209850063e-16
+6 0 0 0 0 9 19 16 4.44089209850063e-16
+6 0 0 0 0 9 20 16 4.44089209850063e-16
+6 0 0 0 0 9 21 16 4.44089209850063e-16
+6 0 0 0 0 9 22 16 4.44089209850063e-16
+6 0 0 0 0 9 23 16 4.44089209850063e-16
+6 0 0 0 0 9 24 16 4.44089209850063e-16
+6 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.zl
new file mode 100644
index 000000000..a9d72ade1
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.zl
@@ -0,0 +1,275 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 4.44089209850063e-16
+0 0 0 0 0 9 12 1 4.44089209850063e-16
+0 0 0 0 0 9 12 2 4.44089209850063e-16
+0 0 0 0 0 9 12 3 4.44089209850063e-16
+0 0 0 0 0 9 12 4 4.44089209850063e-16
+0 0 0 0 0 9 12 5 4.44089209850063e-16
+0 0 0 0 0 9 12 6 4.44089209850063e-16
+0 0 0 0 0 9 12 7 4.44089209850063e-16
+0 0 0 0 0 9 12 8 4.44089209850063e-16
+0 0 0 0 0 9 12 9 4.44089209850063e-16
+0 0 0 0 0 9 12 10 4.44089209850063e-16
+0 0 0 0 0 9 12 11 4.44089209850063e-16
+0 0 0 0 0 9 12 12 4.44089209850063e-16
+0 0 0 0 0 9 12 13 4.44089209850063e-16
+0 0 0 0 0 9 12 14 4.44089209850063e-16
+0 0 0 0 0 9 12 15 4.44089209850063e-16
+0 0 0 0 0 9 12 16 4.44089209850063e-16
+0 0 0 0 0 9 12 17 4.44089209850063e-16
+0 0 0 0 0 9 12 18 4.44089209850063e-16
+0 0 0 0 0 9 12 19 4.44089209850063e-16
+0 0 0 0 0 9 12 20 4.44089209850063e-16
+0 0 0 0 0 9 12 21 4.44089209850063e-16
+0 0 0 0 0 9 12 22 4.44089209850063e-16
+0 0 0 0 0 9 12 23 4.44089209850063e-16
+0 0 0 0 0 9 12 24 4.44089209850063e-16
+0 0 0 0 0 9 12 25 4.44089209850063e-16
+0 0 0 0 0 9 12 26 4.44089209850063e-16
+0 0 0 0 0 9 12 27 4.44089209850063e-16
+0 0 0 0 0 9 12 28 4.44089209850063e-16
+0 0 0 0 0 9 12 29 4.44089209850063e-16
+0 0 0 0 0 9 12 30 4.44089209850063e-16
+0 0 0 0 0 9 12 31 4.44089209850063e-16
+0 0 0 0 0 9 12 32 4.44089209850063e-16
+0 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 4.44089209850063e-16
+1 0 0 0 0 9 12 1 4.44089209850063e-16
+1 0 0 0 0 9 12 2 4.44089209850063e-16
+1 0 0 0 0 9 12 3 4.44089209850063e-16
+1 0 0 0 0 9 12 4 4.44089209850063e-16
+1 0 0 0 0 9 12 5 4.44089209850063e-16
+1 0 0 0 0 9 12 6 4.44089209850063e-16
+1 0 0 0 0 9 12 7 4.44089209850063e-16
+1 0 0 0 0 9 12 8 4.44089209850063e-16
+1 0 0 0 0 9 12 9 4.44089209850063e-16
+1 0 0 0 0 9 12 10 4.44089209850063e-16
+1 0 0 0 0 9 12 11 4.44089209850063e-16
+1 0 0 0 0 9 12 12 4.44089209850063e-16
+1 0 0 0 0 9 12 13 4.44089209850063e-16
+1 0 0 0 0 9 12 14 4.44089209850063e-16
+1 0 0 0 0 9 12 15 4.44089209850063e-16
+1 0 0 0 0 9 12 16 4.44089209850063e-16
+1 0 0 0 0 9 12 17 4.44089209850063e-16
+1 0 0 0 0 9 12 18 4.44089209850063e-16
+1 0 0 0 0 9 12 19 4.44089209850063e-16
+1 0 0 0 0 9 12 20 4.44089209850063e-16
+1 0 0 0 0 9 12 21 4.44089209850063e-16
+1 0 0 0 0 9 12 22 4.44089209850063e-16
+1 0 0 0 0 9 12 23 4.44089209850063e-16
+1 0 0 0 0 9 12 24 4.44089209850063e-16
+1 0 0 0 0 9 12 25 4.44089209850063e-16
+1 0 0 0 0 9 12 26 4.44089209850063e-16
+1 0 0 0 0 9 12 27 4.44089209850063e-16
+1 0 0 0 0 9 12 28 4.44089209850063e-16
+1 0 0 0 0 9 12 29 4.44089209850063e-16
+1 0 0 0 0 9 12 30 4.44089209850063e-16
+1 0 0 0 0 9 12 31 4.44089209850063e-16
+1 0 0 0 0 9 12 32 4.44089209850063e-16
+1 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 4.44089209850063e-16
+2 0 0 0 0 9 12 1 4.44089209850063e-16
+2 0 0 0 0 9 12 2 4.44089209850063e-16
+2 0 0 0 0 9 12 3 4.44089209850063e-16
+2 0 0 0 0 9 12 4 4.44089209850063e-16
+2 0 0 0 0 9 12 5 4.44089209850063e-16
+2 0 0 0 0 9 12 6 4.44089209850063e-16
+2 0 0 0 0 9 12 7 4.44089209850063e-16
+2 0 0 0 0 9 12 8 4.44089209850063e-16
+2 0 0 0 0 9 12 9 4.44089209850063e-16
+2 0 0 0 0 9 12 10 4.44089209850063e-16
+2 0 0 0 0 9 12 11 4.44089209850063e-16
+2 0 0 0 0 9 12 12 4.44089209850063e-16
+2 0 0 0 0 9 12 13 4.44089209850063e-16
+2 0 0 0 0 9 12 14 4.44089209850063e-16
+2 0 0 0 0 9 12 15 4.44089209850063e-16
+2 0 0 0 0 9 12 16 4.44089209850063e-16
+2 0 0 0 0 9 12 17 4.44089209850063e-16
+2 0 0 0 0 9 12 18 4.44089209850063e-16
+2 0 0 0 0 9 12 19 4.44089209850063e-16
+2 0 0 0 0 9 12 20 4.44089209850063e-16
+2 0 0 0 0 9 12 21 4.44089209850063e-16
+2 0 0 0 0 9 12 22 4.44089209850063e-16
+2 0 0 0 0 9 12 23 4.44089209850063e-16
+2 0 0 0 0 9 12 24 4.44089209850063e-16
+2 0 0 0 0 9 12 25 4.44089209850063e-16
+2 0 0 0 0 9 12 26 4.44089209850063e-16
+2 0 0 0 0 9 12 27 4.44089209850063e-16
+2 0 0 0 0 9 12 28 4.44089209850063e-16
+2 0 0 0 0 9 12 29 4.44089209850063e-16
+2 0 0 0 0 9 12 30 4.44089209850063e-16
+2 0 0 0 0 9 12 31 4.44089209850063e-16
+2 0 0 0 0 9 12 32 4.44089209850063e-16
+2 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 4.44089209850063e-16
+3 0 0 0 0 9 12 1 4.44089209850063e-16
+3 0 0 0 0 9 12 2 4.44089209850063e-16
+3 0 0 0 0 9 12 3 4.44089209850063e-16
+3 0 0 0 0 9 12 4 4.44089209850063e-16
+3 0 0 0 0 9 12 5 4.44089209850063e-16
+3 0 0 0 0 9 12 6 4.44089209850063e-16
+3 0 0 0 0 9 12 7 4.44089209850063e-16
+3 0 0 0 0 9 12 8 4.44089209850063e-16
+3 0 0 0 0 9 12 9 4.44089209850063e-16
+3 0 0 0 0 9 12 10 4.44089209850063e-16
+3 0 0 0 0 9 12 11 4.44089209850063e-16
+3 0 0 0 0 9 12 12 4.44089209850063e-16
+3 0 0 0 0 9 12 13 4.44089209850063e-16
+3 0 0 0 0 9 12 14 4.44089209850063e-16
+3 0 0 0 0 9 12 15 4.44089209850063e-16
+3 0 0 0 0 9 12 16 4.44089209850063e-16
+3 0 0 0 0 9 12 17 4.44089209850063e-16
+3 0 0 0 0 9 12 18 4.44089209850063e-16
+3 0 0 0 0 9 12 19 4.44089209850063e-16
+3 0 0 0 0 9 12 20 4.44089209850063e-16
+3 0 0 0 0 9 12 21 4.44089209850063e-16
+3 0 0 0 0 9 12 22 4.44089209850063e-16
+3 0 0 0 0 9 12 23 4.44089209850063e-16
+3 0 0 0 0 9 12 24 4.44089209850063e-16
+3 0 0 0 0 9 12 25 4.44089209850063e-16
+3 0 0 0 0 9 12 26 4.44089209850063e-16
+3 0 0 0 0 9 12 27 4.44089209850063e-16
+3 0 0 0 0 9 12 28 4.44089209850063e-16
+3 0 0 0 0 9 12 29 4.44089209850063e-16
+3 0 0 0 0 9 12 30 4.44089209850063e-16
+3 0 0 0 0 9 12 31 4.44089209850063e-16
+3 0 0 0 0 9 12 32 4.44089209850063e-16
+3 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 4.44089209850063e-16
+4 0 0 0 0 9 12 1 4.44089209850063e-16
+4 0 0 0 0 9 12 2 4.44089209850063e-16
+4 0 0 0 0 9 12 3 4.44089209850063e-16
+4 0 0 0 0 9 12 4 4.44089209850063e-16
+4 0 0 0 0 9 12 5 4.44089209850063e-16
+4 0 0 0 0 9 12 6 4.44089209850063e-16
+4 0 0 0 0 9 12 7 4.44089209850063e-16
+4 0 0 0 0 9 12 8 4.44089209850063e-16
+4 0 0 0 0 9 12 9 4.44089209850063e-16
+4 0 0 0 0 9 12 10 4.44089209850063e-16
+4 0 0 0 0 9 12 11 4.44089209850063e-16
+4 0 0 0 0 9 12 12 4.44089209850063e-16
+4 0 0 0 0 9 12 13 4.44089209850063e-16
+4 0 0 0 0 9 12 14 4.44089209850063e-16
+4 0 0 0 0 9 12 15 4.44089209850063e-16
+4 0 0 0 0 9 12 16 4.44089209850063e-16
+4 0 0 0 0 9 12 17 4.44089209850063e-16
+4 0 0 0 0 9 12 18 4.44089209850063e-16
+4 0 0 0 0 9 12 19 4.44089209850063e-16
+4 0 0 0 0 9 12 20 4.44089209850063e-16
+4 0 0 0 0 9 12 21 4.44089209850063e-16
+4 0 0 0 0 9 12 22 4.44089209850063e-16
+4 0 0 0 0 9 12 23 4.44089209850063e-16
+4 0 0 0 0 9 12 24 4.44089209850063e-16
+4 0 0 0 0 9 12 25 4.44089209850063e-16
+4 0 0 0 0 9 12 26 4.44089209850063e-16
+4 0 0 0 0 9 12 27 4.44089209850063e-16
+4 0 0 0 0 9 12 28 4.44089209850063e-16
+4 0 0 0 0 9 12 29 4.44089209850063e-16
+4 0 0 0 0 9 12 30 4.44089209850063e-16
+4 0 0 0 0 9 12 31 4.44089209850063e-16
+4 0 0 0 0 9 12 32 4.44089209850063e-16
+4 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 4.44089209850063e-16
+5 0 0 0 0 9 12 1 4.44089209850063e-16
+5 0 0 0 0 9 12 2 4.44089209850063e-16
+5 0 0 0 0 9 12 3 4.44089209850063e-16
+5 0 0 0 0 9 12 4 4.44089209850063e-16
+5 0 0 0 0 9 12 5 4.44089209850063e-16
+5 0 0 0 0 9 12 6 4.44089209850063e-16
+5 0 0 0 0 9 12 7 4.44089209850063e-16
+5 0 0 0 0 9 12 8 4.44089209850063e-16
+5 0 0 0 0 9 12 9 4.44089209850063e-16
+5 0 0 0 0 9 12 10 4.44089209850063e-16
+5 0 0 0 0 9 12 11 4.44089209850063e-16
+5 0 0 0 0 9 12 12 4.44089209850063e-16
+5 0 0 0 0 9 12 13 4.44089209850063e-16
+5 0 0 0 0 9 12 14 4.44089209850063e-16
+5 0 0 0 0 9 12 15 4.44089209850063e-16
+5 0 0 0 0 9 12 16 4.44089209850063e-16
+5 0 0 0 0 9 12 17 4.44089209850063e-16
+5 0 0 0 0 9 12 18 4.44089209850063e-16
+5 0 0 0 0 9 12 19 4.44089209850063e-16
+5 0 0 0 0 9 12 20 4.44089209850063e-16
+5 0 0 0 0 9 12 21 4.44089209850063e-16
+5 0 0 0 0 9 12 22 4.44089209850063e-16
+5 0 0 0 0 9 12 23 4.44089209850063e-16
+5 0 0 0 0 9 12 24 4.44089209850063e-16
+5 0 0 0 0 9 12 25 4.44089209850063e-16
+5 0 0 0 0 9 12 26 4.44089209850063e-16
+5 0 0 0 0 9 12 27 4.44089209850063e-16
+5 0 0 0 0 9 12 28 4.44089209850063e-16
+5 0 0 0 0 9 12 29 4.44089209850063e-16
+5 0 0 0 0 9 12 30 4.44089209850063e-16
+5 0 0 0 0 9 12 31 4.44089209850063e-16
+5 0 0 0 0 9 12 32 4.44089209850063e-16
+5 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 4.44089209850063e-16
+6 0 0 0 0 9 12 1 4.44089209850063e-16
+6 0 0 0 0 9 12 2 4.44089209850063e-16
+6 0 0 0 0 9 12 3 4.44089209850063e-16
+6 0 0 0 0 9 12 4 4.44089209850063e-16
+6 0 0 0 0 9 12 5 4.44089209850063e-16
+6 0 0 0 0 9 12 6 4.44089209850063e-16
+6 0 0 0 0 9 12 7 4.44089209850063e-16
+6 0 0 0 0 9 12 8 4.44089209850063e-16
+6 0 0 0 0 9 12 9 4.44089209850063e-16
+6 0 0 0 0 9 12 10 4.44089209850063e-16
+6 0 0 0 0 9 12 11 4.44089209850063e-16
+6 0 0 0 0 9 12 12 4.44089209850063e-16
+6 0 0 0 0 9 12 13 4.44089209850063e-16
+6 0 0 0 0 9 12 14 4.44089209850063e-16
+6 0 0 0 0 9 12 15 4.44089209850063e-16
+6 0 0 0 0 9 12 16 4.44089209850063e-16
+6 0 0 0 0 9 12 17 4.44089209850063e-16
+6 0 0 0 0 9 12 18 4.44089209850063e-16
+6 0 0 0 0 9 12 19 4.44089209850063e-16
+6 0 0 0 0 9 12 20 4.44089209850063e-16
+6 0 0 0 0 9 12 21 4.44089209850063e-16
+6 0 0 0 0 9 12 22 4.44089209850063e-16
+6 0 0 0 0 9 12 23 4.44089209850063e-16
+6 0 0 0 0 9 12 24 4.44089209850063e-16
+6 0 0 0 0 9 12 25 4.44089209850063e-16
+6 0 0 0 0 9 12 26 4.44089209850063e-16
+6 0 0 0 0 9 12 27 4.44089209850063e-16
+6 0 0 0 0 9 12 28 4.44089209850063e-16
+6 0 0 0 0 9 12 29 4.44089209850063e-16
+6 0 0 0 0 9 12 30 4.44089209850063e-16
+6 0 0 0 0 9 12 31 4.44089209850063e-16
+6 0 0 0 0 9 12 32 4.44089209850063e-16
+6 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.xl
new file mode 100644
index 000000000..d4d13f446
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.xl
@@ -0,0 +1,170 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -4.44089209850063e-16
+0 0 0 0 0 1 12 16 -4.44089209850063e-16
+0 0 0 0 0 2 12 16 -4.44089209850063e-16
+0 0 0 0 0 3 12 16 -4.44089209850063e-16
+0 0 0 0 0 4 12 16 -4.44089209850063e-16
+0 0 0 0 0 5 12 16 -4.44089209850063e-16
+0 0 0 0 0 6 12 16 -4.44089209850063e-16
+0 0 0 0 0 7 12 16 -4.44089209850063e-16
+0 0 0 0 0 8 12 16 -4.44089209850063e-16
+0 0 0 0 0 9 12 16 -4.44089209850063e-16
+0 0 0 0 0 10 12 16 -4.44089209850063e-16
+0 0 0 0 0 11 12 16 -4.44089209850063e-16
+0 0 0 0 0 12 12 16 -4.44089209850063e-16
+0 0 0 0 0 13 12 16 -4.44089209850063e-16
+0 0 0 0 0 14 12 16 -4.44089209850063e-16
+0 0 0 0 0 15 12 16 -4.44089209850063e-16
+0 0 0 0 0 16 12 16 -4.44089209850063e-16
+0 0 0 0 0 17 12 16 -4.44089209850063e-16
+0 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -4.44089209850063e-16
+1 0 0 0 0 1 12 16 -4.44089209850063e-16
+1 0 0 0 0 2 12 16 -4.44089209850063e-16
+1 0 0 0 0 3 12 16 -4.44089209850063e-16
+1 0 0 0 0 4 12 16 -4.44089209850063e-16
+1 0 0 0 0 5 12 16 -4.44089209850063e-16
+1 0 0 0 0 6 12 16 -4.44089209850063e-16
+1 0 0 0 0 7 12 16 -4.44089209850063e-16
+1 0 0 0 0 8 12 16 -4.44089209850063e-16
+1 0 0 0 0 9 12 16 -4.44089209850063e-16
+1 0 0 0 0 10 12 16 -4.44089209850063e-16
+1 0 0 0 0 11 12 16 -4.44089209850063e-16
+1 0 0 0 0 12 12 16 -4.44089209850063e-16
+1 0 0 0 0 13 12 16 -4.44089209850063e-16
+1 0 0 0 0 14 12 16 -4.44089209850063e-16
+1 0 0 0 0 15 12 16 -4.44089209850063e-16
+1 0 0 0 0 16 12 16 -4.44089209850063e-16
+1 0 0 0 0 17 12 16 -4.44089209850063e-16
+1 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -4.44089209850063e-16
+2 0 0 0 0 1 12 16 -4.44089209850063e-16
+2 0 0 0 0 2 12 16 -4.44089209850063e-16
+2 0 0 0 0 3 12 16 -4.44089209850063e-16
+2 0 0 0 0 4 12 16 -4.44089209850063e-16
+2 0 0 0 0 5 12 16 -4.44089209850063e-16
+2 0 0 0 0 6 12 16 -4.44089209850063e-16
+2 0 0 0 0 7 12 16 -4.44089209850063e-16
+2 0 0 0 0 8 12 16 -4.44089209850063e-16
+2 0 0 0 0 9 12 16 -4.44089209850063e-16
+2 0 0 0 0 10 12 16 -4.44089209850063e-16
+2 0 0 0 0 11 12 16 -4.44089209850063e-16
+2 0 0 0 0 12 12 16 -4.44089209850063e-16
+2 0 0 0 0 13 12 16 -4.44089209850063e-16
+2 0 0 0 0 14 12 16 -4.44089209850063e-16
+2 0 0 0 0 15 12 16 -4.44089209850063e-16
+2 0 0 0 0 16 12 16 -4.44089209850063e-16
+2 0 0 0 0 17 12 16 -4.44089209850063e-16
+2 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -4.44089209850063e-16
+3 0 0 0 0 1 12 16 -4.44089209850063e-16
+3 0 0 0 0 2 12 16 -4.44089209850063e-16
+3 0 0 0 0 3 12 16 -4.44089209850063e-16
+3 0 0 0 0 4 12 16 -4.44089209850063e-16
+3 0 0 0 0 5 12 16 -4.44089209850063e-16
+3 0 0 0 0 6 12 16 -4.44089209850063e-16
+3 0 0 0 0 7 12 16 -4.44089209850063e-16
+3 0 0 0 0 8 12 16 -4.44089209850063e-16
+3 0 0 0 0 9 12 16 -4.44089209850063e-16
+3 0 0 0 0 10 12 16 -4.44089209850063e-16
+3 0 0 0 0 11 12 16 -4.44089209850063e-16
+3 0 0 0 0 12 12 16 -4.44089209850063e-16
+3 0 0 0 0 13 12 16 -4.44089209850063e-16
+3 0 0 0 0 14 12 16 -4.44089209850063e-16
+3 0 0 0 0 15 12 16 -4.44089209850063e-16
+3 0 0 0 0 16 12 16 -4.44089209850063e-16
+3 0 0 0 0 17 12 16 -4.44089209850063e-16
+3 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -4.44089209850063e-16
+4 0 0 0 0 1 12 16 -4.44089209850063e-16
+4 0 0 0 0 2 12 16 -4.44089209850063e-16
+4 0 0 0 0 3 12 16 -4.44089209850063e-16
+4 0 0 0 0 4 12 16 -4.44089209850063e-16
+4 0 0 0 0 5 12 16 -4.44089209850063e-16
+4 0 0 0 0 6 12 16 -4.44089209850063e-16
+4 0 0 0 0 7 12 16 -4.44089209850063e-16
+4 0 0 0 0 8 12 16 -4.44089209850063e-16
+4 0 0 0 0 9 12 16 -4.44089209850063e-16
+4 0 0 0 0 10 12 16 -4.44089209850063e-16
+4 0 0 0 0 11 12 16 -4.44089209850063e-16
+4 0 0 0 0 12 12 16 -4.44089209850063e-16
+4 0 0 0 0 13 12 16 -4.44089209850063e-16
+4 0 0 0 0 14 12 16 -4.44089209850063e-16
+4 0 0 0 0 15 12 16 -4.44089209850063e-16
+4 0 0 0 0 16 12 16 -4.44089209850063e-16
+4 0 0 0 0 17 12 16 -4.44089209850063e-16
+4 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -4.44089209850063e-16
+5 0 0 0 0 1 12 16 -4.44089209850063e-16
+5 0 0 0 0 2 12 16 -4.44089209850063e-16
+5 0 0 0 0 3 12 16 -4.44089209850063e-16
+5 0 0 0 0 4 12 16 -4.44089209850063e-16
+5 0 0 0 0 5 12 16 -4.44089209850063e-16
+5 0 0 0 0 6 12 16 -4.44089209850063e-16
+5 0 0 0 0 7 12 16 -4.44089209850063e-16
+5 0 0 0 0 8 12 16 -4.44089209850063e-16
+5 0 0 0 0 9 12 16 -4.44089209850063e-16
+5 0 0 0 0 10 12 16 -4.44089209850063e-16
+5 0 0 0 0 11 12 16 -4.44089209850063e-16
+5 0 0 0 0 12 12 16 -4.44089209850063e-16
+5 0 0 0 0 13 12 16 -4.44089209850063e-16
+5 0 0 0 0 14 12 16 -4.44089209850063e-16
+5 0 0 0 0 15 12 16 -4.44089209850063e-16
+5 0 0 0 0 16 12 16 -4.44089209850063e-16
+5 0 0 0 0 17 12 16 -4.44089209850063e-16
+5 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -4.44089209850063e-16
+6 0 0 0 0 1 12 16 -4.44089209850063e-16
+6 0 0 0 0 2 12 16 -4.44089209850063e-16
+6 0 0 0 0 3 12 16 -4.44089209850063e-16
+6 0 0 0 0 4 12 16 -4.44089209850063e-16
+6 0 0 0 0 5 12 16 -4.44089209850063e-16
+6 0 0 0 0 6 12 16 -4.44089209850063e-16
+6 0 0 0 0 7 12 16 -4.44089209850063e-16
+6 0 0 0 0 8 12 16 -4.44089209850063e-16
+6 0 0 0 0 9 12 16 -4.44089209850063e-16
+6 0 0 0 0 10 12 16 -4.44089209850063e-16
+6 0 0 0 0 11 12 16 -4.44089209850063e-16
+6 0 0 0 0 12 12 16 -4.44089209850063e-16
+6 0 0 0 0 13 12 16 -4.44089209850063e-16
+6 0 0 0 0 14 12 16 -4.44089209850063e-16
+6 0 0 0 0 15 12 16 -4.44089209850063e-16
+6 0 0 0 0 16 12 16 -4.44089209850063e-16
+6 0 0 0 0 17 12 16 -4.44089209850063e-16
+6 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.yl
new file mode 100644
index 000000000..f9b213254
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.yl
@@ -0,0 +1,219 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -7.2
+0 0 0 0 0 9 1 16 -6.6
+0 0 0 0 0 9 2 16 -6
+0 0 0 0 0 9 3 16 -5.4
+0 0 0 0 0 9 4 16 -4.8
+0 0 0 0 0 9 5 16 -4.2
+0 0 0 0 0 9 6 16 -3.6
+0 0 0 0 0 9 7 16 -3
+0 0 0 0 0 9 8 16 -2.4
+0 0 0 0 0 9 9 16 -1.8
+0 0 0 0 0 9 10 16 -1.2
+0 0 0 0 0 9 11 16 -0.6
+0 0 0 0 0 9 12 16 -4.44089209850063e-16
+0 0 0 0 0 9 13 16 0.6
+0 0 0 0 0 9 14 16 1.2
+0 0 0 0 0 9 15 16 1.8
+0 0 0 0 0 9 16 16 2.4
+0 0 0 0 0 9 17 16 3
+0 0 0 0 0 9 18 16 3.6
+0 0 0 0 0 9 19 16 4.2
+0 0 0 0 0 9 20 16 4.8
+0 0 0 0 0 9 21 16 5.4
+0 0 0 0 0 9 22 16 6
+0 0 0 0 0 9 23 16 6.6
+0 0 0 0 0 9 24 16 7.2
+0 0 0 0 0 9 25 16 7.8
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -7.2
+1 0 0 0 0 9 1 16 -6.6
+1 0 0 0 0 9 2 16 -6
+1 0 0 0 0 9 3 16 -5.4
+1 0 0 0 0 9 4 16 -4.8
+1 0 0 0 0 9 5 16 -4.2
+1 0 0 0 0 9 6 16 -3.6
+1 0 0 0 0 9 7 16 -3
+1 0 0 0 0 9 8 16 -2.4
+1 0 0 0 0 9 9 16 -1.8
+1 0 0 0 0 9 10 16 -1.2
+1 0 0 0 0 9 11 16 -0.6
+1 0 0 0 0 9 12 16 -4.44089209850063e-16
+1 0 0 0 0 9 13 16 0.6
+1 0 0 0 0 9 14 16 1.2
+1 0 0 0 0 9 15 16 1.8
+1 0 0 0 0 9 16 16 2.4
+1 0 0 0 0 9 17 16 3
+1 0 0 0 0 9 18 16 3.6
+1 0 0 0 0 9 19 16 4.2
+1 0 0 0 0 9 20 16 4.8
+1 0 0 0 0 9 21 16 5.4
+1 0 0 0 0 9 22 16 6
+1 0 0 0 0 9 23 16 6.6
+1 0 0 0 0 9 24 16 7.2
+1 0 0 0 0 9 25 16 7.8
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -7.2
+2 0 0 0 0 9 1 16 -6.6
+2 0 0 0 0 9 2 16 -6
+2 0 0 0 0 9 3 16 -5.4
+2 0 0 0 0 9 4 16 -4.8
+2 0 0 0 0 9 5 16 -4.2
+2 0 0 0 0 9 6 16 -3.6
+2 0 0 0 0 9 7 16 -3
+2 0 0 0 0 9 8 16 -2.4
+2 0 0 0 0 9 9 16 -1.8
+2 0 0 0 0 9 10 16 -1.2
+2 0 0 0 0 9 11 16 -0.6
+2 0 0 0 0 9 12 16 -4.44089209850063e-16
+2 0 0 0 0 9 13 16 0.6
+2 0 0 0 0 9 14 16 1.2
+2 0 0 0 0 9 15 16 1.8
+2 0 0 0 0 9 16 16 2.4
+2 0 0 0 0 9 17 16 3
+2 0 0 0 0 9 18 16 3.6
+2 0 0 0 0 9 19 16 4.2
+2 0 0 0 0 9 20 16 4.8
+2 0 0 0 0 9 21 16 5.4
+2 0 0 0 0 9 22 16 6
+2 0 0 0 0 9 23 16 6.6
+2 0 0 0 0 9 24 16 7.2
+2 0 0 0 0 9 25 16 7.8
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -7.2
+3 0 0 0 0 9 1 16 -6.6
+3 0 0 0 0 9 2 16 -6
+3 0 0 0 0 9 3 16 -5.4
+3 0 0 0 0 9 4 16 -4.8
+3 0 0 0 0 9 5 16 -4.2
+3 0 0 0 0 9 6 16 -3.6
+3 0 0 0 0 9 7 16 -3
+3 0 0 0 0 9 8 16 -2.4
+3 0 0 0 0 9 9 16 -1.8
+3 0 0 0 0 9 10 16 -1.2
+3 0 0 0 0 9 11 16 -0.6
+3 0 0 0 0 9 12 16 -4.44089209850063e-16
+3 0 0 0 0 9 13 16 0.6
+3 0 0 0 0 9 14 16 1.2
+3 0 0 0 0 9 15 16 1.8
+3 0 0 0 0 9 16 16 2.4
+3 0 0 0 0 9 17 16 3
+3 0 0 0 0 9 18 16 3.6
+3 0 0 0 0 9 19 16 4.2
+3 0 0 0 0 9 20 16 4.8
+3 0 0 0 0 9 21 16 5.4
+3 0 0 0 0 9 22 16 6
+3 0 0 0 0 9 23 16 6.6
+3 0 0 0 0 9 24 16 7.2
+3 0 0 0 0 9 25 16 7.8
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -7.2
+4 0 0 0 0 9 1 16 -6.6
+4 0 0 0 0 9 2 16 -6
+4 0 0 0 0 9 3 16 -5.4
+4 0 0 0 0 9 4 16 -4.8
+4 0 0 0 0 9 5 16 -4.2
+4 0 0 0 0 9 6 16 -3.6
+4 0 0 0 0 9 7 16 -3
+4 0 0 0 0 9 8 16 -2.4
+4 0 0 0 0 9 9 16 -1.8
+4 0 0 0 0 9 10 16 -1.2
+4 0 0 0 0 9 11 16 -0.6
+4 0 0 0 0 9 12 16 -4.44089209850063e-16
+4 0 0 0 0 9 13 16 0.6
+4 0 0 0 0 9 14 16 1.2
+4 0 0 0 0 9 15 16 1.8
+4 0 0 0 0 9 16 16 2.4
+4 0 0 0 0 9 17 16 3
+4 0 0 0 0 9 18 16 3.6
+4 0 0 0 0 9 19 16 4.2
+4 0 0 0 0 9 20 16 4.8
+4 0 0 0 0 9 21 16 5.4
+4 0 0 0 0 9 22 16 6
+4 0 0 0 0 9 23 16 6.6
+4 0 0 0 0 9 24 16 7.2
+4 0 0 0 0 9 25 16 7.8
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -7.2
+5 0 0 0 0 9 1 16 -6.6
+5 0 0 0 0 9 2 16 -6
+5 0 0 0 0 9 3 16 -5.4
+5 0 0 0 0 9 4 16 -4.8
+5 0 0 0 0 9 5 16 -4.2
+5 0 0 0 0 9 6 16 -3.6
+5 0 0 0 0 9 7 16 -3
+5 0 0 0 0 9 8 16 -2.4
+5 0 0 0 0 9 9 16 -1.8
+5 0 0 0 0 9 10 16 -1.2
+5 0 0 0 0 9 11 16 -0.6
+5 0 0 0 0 9 12 16 -4.44089209850063e-16
+5 0 0 0 0 9 13 16 0.6
+5 0 0 0 0 9 14 16 1.2
+5 0 0 0 0 9 15 16 1.8
+5 0 0 0 0 9 16 16 2.4
+5 0 0 0 0 9 17 16 3
+5 0 0 0 0 9 18 16 3.6
+5 0 0 0 0 9 19 16 4.2
+5 0 0 0 0 9 20 16 4.8
+5 0 0 0 0 9 21 16 5.4
+5 0 0 0 0 9 22 16 6
+5 0 0 0 0 9 23 16 6.6
+5 0 0 0 0 9 24 16 7.2
+5 0 0 0 0 9 25 16 7.8
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 -7.2
+6 0 0 0 0 9 1 16 -6.6
+6 0 0 0 0 9 2 16 -6
+6 0 0 0 0 9 3 16 -5.4
+6 0 0 0 0 9 4 16 -4.8
+6 0 0 0 0 9 5 16 -4.2
+6 0 0 0 0 9 6 16 -3.6
+6 0 0 0 0 9 7 16 -3
+6 0 0 0 0 9 8 16 -2.4
+6 0 0 0 0 9 9 16 -1.8
+6 0 0 0 0 9 10 16 -1.2
+6 0 0 0 0 9 11 16 -0.6
+6 0 0 0 0 9 12 16 -4.44089209850063e-16
+6 0 0 0 0 9 13 16 0.6
+6 0 0 0 0 9 14 16 1.2
+6 0 0 0 0 9 15 16 1.8
+6 0 0 0 0 9 16 16 2.4
+6 0 0 0 0 9 17 16 3
+6 0 0 0 0 9 18 16 3.6
+6 0 0 0 0 9 19 16 4.2
+6 0 0 0 0 9 20 16 4.8
+6 0 0 0 0 9 21 16 5.4
+6 0 0 0 0 9 22 16 6
+6 0 0 0 0 9 23 16 6.6
+6 0 0 0 0 9 24 16 7.2
+6 0 0 0 0 9 25 16 7.8
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.zl
new file mode 100644
index 000000000..5eb528a02
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.zl
@@ -0,0 +1,275 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 -4.44089209850063e-16
+0 0 0 0 0 9 12 1 -4.44089209850063e-16
+0 0 0 0 0 9 12 2 -4.44089209850063e-16
+0 0 0 0 0 9 12 3 -4.44089209850063e-16
+0 0 0 0 0 9 12 4 -4.44089209850063e-16
+0 0 0 0 0 9 12 5 -4.44089209850063e-16
+0 0 0 0 0 9 12 6 -4.44089209850063e-16
+0 0 0 0 0 9 12 7 -4.44089209850063e-16
+0 0 0 0 0 9 12 8 -4.44089209850063e-16
+0 0 0 0 0 9 12 9 -4.44089209850063e-16
+0 0 0 0 0 9 12 10 -4.44089209850063e-16
+0 0 0 0 0 9 12 11 -4.44089209850063e-16
+0 0 0 0 0 9 12 12 -4.44089209850063e-16
+0 0 0 0 0 9 12 13 -4.44089209850063e-16
+0 0 0 0 0 9 12 14 -4.44089209850063e-16
+0 0 0 0 0 9 12 15 -4.44089209850063e-16
+0 0 0 0 0 9 12 16 -4.44089209850063e-16
+0 0 0 0 0 9 12 17 -4.44089209850063e-16
+0 0 0 0 0 9 12 18 -4.44089209850063e-16
+0 0 0 0 0 9 12 19 -4.44089209850063e-16
+0 0 0 0 0 9 12 20 -4.44089209850063e-16
+0 0 0 0 0 9 12 21 -4.44089209850063e-16
+0 0 0 0 0 9 12 22 -4.44089209850063e-16
+0 0 0 0 0 9 12 23 -4.44089209850063e-16
+0 0 0 0 0 9 12 24 -4.44089209850063e-16
+0 0 0 0 0 9 12 25 -4.44089209850063e-16
+0 0 0 0 0 9 12 26 -4.44089209850063e-16
+0 0 0 0 0 9 12 27 -4.44089209850063e-16
+0 0 0 0 0 9 12 28 -4.44089209850063e-16
+0 0 0 0 0 9 12 29 -4.44089209850063e-16
+0 0 0 0 0 9 12 30 -4.44089209850063e-16
+0 0 0 0 0 9 12 31 -4.44089209850063e-16
+0 0 0 0 0 9 12 32 -4.44089209850063e-16
+0 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 -4.44089209850063e-16
+1 0 0 0 0 9 12 1 -4.44089209850063e-16
+1 0 0 0 0 9 12 2 -4.44089209850063e-16
+1 0 0 0 0 9 12 3 -4.44089209850063e-16
+1 0 0 0 0 9 12 4 -4.44089209850063e-16
+1 0 0 0 0 9 12 5 -4.44089209850063e-16
+1 0 0 0 0 9 12 6 -4.44089209850063e-16
+1 0 0 0 0 9 12 7 -4.44089209850063e-16
+1 0 0 0 0 9 12 8 -4.44089209850063e-16
+1 0 0 0 0 9 12 9 -4.44089209850063e-16
+1 0 0 0 0 9 12 10 -4.44089209850063e-16
+1 0 0 0 0 9 12 11 -4.44089209850063e-16
+1 0 0 0 0 9 12 12 -4.44089209850063e-16
+1 0 0 0 0 9 12 13 -4.44089209850063e-16
+1 0 0 0 0 9 12 14 -4.44089209850063e-16
+1 0 0 0 0 9 12 15 -4.44089209850063e-16
+1 0 0 0 0 9 12 16 -4.44089209850063e-16
+1 0 0 0 0 9 12 17 -4.44089209850063e-16
+1 0 0 0 0 9 12 18 -4.44089209850063e-16
+1 0 0 0 0 9 12 19 -4.44089209850063e-16
+1 0 0 0 0 9 12 20 -4.44089209850063e-16
+1 0 0 0 0 9 12 21 -4.44089209850063e-16
+1 0 0 0 0 9 12 22 -4.44089209850063e-16
+1 0 0 0 0 9 12 23 -4.44089209850063e-16
+1 0 0 0 0 9 12 24 -4.44089209850063e-16
+1 0 0 0 0 9 12 25 -4.44089209850063e-16
+1 0 0 0 0 9 12 26 -4.44089209850063e-16
+1 0 0 0 0 9 12 27 -4.44089209850063e-16
+1 0 0 0 0 9 12 28 -4.44089209850063e-16
+1 0 0 0 0 9 12 29 -4.44089209850063e-16
+1 0 0 0 0 9 12 30 -4.44089209850063e-16
+1 0 0 0 0 9 12 31 -4.44089209850063e-16
+1 0 0 0 0 9 12 32 -4.44089209850063e-16
+1 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 -4.44089209850063e-16
+2 0 0 0 0 9 12 1 -4.44089209850063e-16
+2 0 0 0 0 9 12 2 -4.44089209850063e-16
+2 0 0 0 0 9 12 3 -4.44089209850063e-16
+2 0 0 0 0 9 12 4 -4.44089209850063e-16
+2 0 0 0 0 9 12 5 -4.44089209850063e-16
+2 0 0 0 0 9 12 6 -4.44089209850063e-16
+2 0 0 0 0 9 12 7 -4.44089209850063e-16
+2 0 0 0 0 9 12 8 -4.44089209850063e-16
+2 0 0 0 0 9 12 9 -4.44089209850063e-16
+2 0 0 0 0 9 12 10 -4.44089209850063e-16
+2 0 0 0 0 9 12 11 -4.44089209850063e-16
+2 0 0 0 0 9 12 12 -4.44089209850063e-16
+2 0 0 0 0 9 12 13 -4.44089209850063e-16
+2 0 0 0 0 9 12 14 -4.44089209850063e-16
+2 0 0 0 0 9 12 15 -4.44089209850063e-16
+2 0 0 0 0 9 12 16 -4.44089209850063e-16
+2 0 0 0 0 9 12 17 -4.44089209850063e-16
+2 0 0 0 0 9 12 18 -4.44089209850063e-16
+2 0 0 0 0 9 12 19 -4.44089209850063e-16
+2 0 0 0 0 9 12 20 -4.44089209850063e-16
+2 0 0 0 0 9 12 21 -4.44089209850063e-16
+2 0 0 0 0 9 12 22 -4.44089209850063e-16
+2 0 0 0 0 9 12 23 -4.44089209850063e-16
+2 0 0 0 0 9 12 24 -4.44089209850063e-16
+2 0 0 0 0 9 12 25 -4.44089209850063e-16
+2 0 0 0 0 9 12 26 -4.44089209850063e-16
+2 0 0 0 0 9 12 27 -4.44089209850063e-16
+2 0 0 0 0 9 12 28 -4.44089209850063e-16
+2 0 0 0 0 9 12 29 -4.44089209850063e-16
+2 0 0 0 0 9 12 30 -4.44089209850063e-16
+2 0 0 0 0 9 12 31 -4.44089209850063e-16
+2 0 0 0 0 9 12 32 -4.44089209850063e-16
+2 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 -4.44089209850063e-16
+3 0 0 0 0 9 12 1 -4.44089209850063e-16
+3 0 0 0 0 9 12 2 -4.44089209850063e-16
+3 0 0 0 0 9 12 3 -4.44089209850063e-16
+3 0 0 0 0 9 12 4 -4.44089209850063e-16
+3 0 0 0 0 9 12 5 -4.44089209850063e-16
+3 0 0 0 0 9 12 6 -4.44089209850063e-16
+3 0 0 0 0 9 12 7 -4.44089209850063e-16
+3 0 0 0 0 9 12 8 -4.44089209850063e-16
+3 0 0 0 0 9 12 9 -4.44089209850063e-16
+3 0 0 0 0 9 12 10 -4.44089209850063e-16
+3 0 0 0 0 9 12 11 -4.44089209850063e-16
+3 0 0 0 0 9 12 12 -4.44089209850063e-16
+3 0 0 0 0 9 12 13 -4.44089209850063e-16
+3 0 0 0 0 9 12 14 -4.44089209850063e-16
+3 0 0 0 0 9 12 15 -4.44089209850063e-16
+3 0 0 0 0 9 12 16 -4.44089209850063e-16
+3 0 0 0 0 9 12 17 -4.44089209850063e-16
+3 0 0 0 0 9 12 18 -4.44089209850063e-16
+3 0 0 0 0 9 12 19 -4.44089209850063e-16
+3 0 0 0 0 9 12 20 -4.44089209850063e-16
+3 0 0 0 0 9 12 21 -4.44089209850063e-16
+3 0 0 0 0 9 12 22 -4.44089209850063e-16
+3 0 0 0 0 9 12 23 -4.44089209850063e-16
+3 0 0 0 0 9 12 24 -4.44089209850063e-16
+3 0 0 0 0 9 12 25 -4.44089209850063e-16
+3 0 0 0 0 9 12 26 -4.44089209850063e-16
+3 0 0 0 0 9 12 27 -4.44089209850063e-16
+3 0 0 0 0 9 12 28 -4.44089209850063e-16
+3 0 0 0 0 9 12 29 -4.44089209850063e-16
+3 0 0 0 0 9 12 30 -4.44089209850063e-16
+3 0 0 0 0 9 12 31 -4.44089209850063e-16
+3 0 0 0 0 9 12 32 -4.44089209850063e-16
+3 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 -4.44089209850063e-16
+4 0 0 0 0 9 12 1 -4.44089209850063e-16
+4 0 0 0 0 9 12 2 -4.44089209850063e-16
+4 0 0 0 0 9 12 3 -4.44089209850063e-16
+4 0 0 0 0 9 12 4 -4.44089209850063e-16
+4 0 0 0 0 9 12 5 -4.44089209850063e-16
+4 0 0 0 0 9 12 6 -4.44089209850063e-16
+4 0 0 0 0 9 12 7 -4.44089209850063e-16
+4 0 0 0 0 9 12 8 -4.44089209850063e-16
+4 0 0 0 0 9 12 9 -4.44089209850063e-16
+4 0 0 0 0 9 12 10 -4.44089209850063e-16
+4 0 0 0 0 9 12 11 -4.44089209850063e-16
+4 0 0 0 0 9 12 12 -4.44089209850063e-16
+4 0 0 0 0 9 12 13 -4.44089209850063e-16
+4 0 0 0 0 9 12 14 -4.44089209850063e-16
+4 0 0 0 0 9 12 15 -4.44089209850063e-16
+4 0 0 0 0 9 12 16 -4.44089209850063e-16
+4 0 0 0 0 9 12 17 -4.44089209850063e-16
+4 0 0 0 0 9 12 18 -4.44089209850063e-16
+4 0 0 0 0 9 12 19 -4.44089209850063e-16
+4 0 0 0 0 9 12 20 -4.44089209850063e-16
+4 0 0 0 0 9 12 21 -4.44089209850063e-16
+4 0 0 0 0 9 12 22 -4.44089209850063e-16
+4 0 0 0 0 9 12 23 -4.44089209850063e-16
+4 0 0 0 0 9 12 24 -4.44089209850063e-16
+4 0 0 0 0 9 12 25 -4.44089209850063e-16
+4 0 0 0 0 9 12 26 -4.44089209850063e-16
+4 0 0 0 0 9 12 27 -4.44089209850063e-16
+4 0 0 0 0 9 12 28 -4.44089209850063e-16
+4 0 0 0 0 9 12 29 -4.44089209850063e-16
+4 0 0 0 0 9 12 30 -4.44089209850063e-16
+4 0 0 0 0 9 12 31 -4.44089209850063e-16
+4 0 0 0 0 9 12 32 -4.44089209850063e-16
+4 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 -4.44089209850063e-16
+5 0 0 0 0 9 12 1 -4.44089209850063e-16
+5 0 0 0 0 9 12 2 -4.44089209850063e-16
+5 0 0 0 0 9 12 3 -4.44089209850063e-16
+5 0 0 0 0 9 12 4 -4.44089209850063e-16
+5 0 0 0 0 9 12 5 -4.44089209850063e-16
+5 0 0 0 0 9 12 6 -4.44089209850063e-16
+5 0 0 0 0 9 12 7 -4.44089209850063e-16
+5 0 0 0 0 9 12 8 -4.44089209850063e-16
+5 0 0 0 0 9 12 9 -4.44089209850063e-16
+5 0 0 0 0 9 12 10 -4.44089209850063e-16
+5 0 0 0 0 9 12 11 -4.44089209850063e-16
+5 0 0 0 0 9 12 12 -4.44089209850063e-16
+5 0 0 0 0 9 12 13 -4.44089209850063e-16
+5 0 0 0 0 9 12 14 -4.44089209850063e-16
+5 0 0 0 0 9 12 15 -4.44089209850063e-16
+5 0 0 0 0 9 12 16 -4.44089209850063e-16
+5 0 0 0 0 9 12 17 -4.44089209850063e-16
+5 0 0 0 0 9 12 18 -4.44089209850063e-16
+5 0 0 0 0 9 12 19 -4.44089209850063e-16
+5 0 0 0 0 9 12 20 -4.44089209850063e-16
+5 0 0 0 0 9 12 21 -4.44089209850063e-16
+5 0 0 0 0 9 12 22 -4.44089209850063e-16
+5 0 0 0 0 9 12 23 -4.44089209850063e-16
+5 0 0 0 0 9 12 24 -4.44089209850063e-16
+5 0 0 0 0 9 12 25 -4.44089209850063e-16
+5 0 0 0 0 9 12 26 -4.44089209850063e-16
+5 0 0 0 0 9 12 27 -4.44089209850063e-16
+5 0 0 0 0 9 12 28 -4.44089209850063e-16
+5 0 0 0 0 9 12 29 -4.44089209850063e-16
+5 0 0 0 0 9 12 30 -4.44089209850063e-16
+5 0 0 0 0 9 12 31 -4.44089209850063e-16
+5 0 0 0 0 9 12 32 -4.44089209850063e-16
+5 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 -4.44089209850063e-16
+6 0 0 0 0 9 12 1 -4.44089209850063e-16
+6 0 0 0 0 9 12 2 -4.44089209850063e-16
+6 0 0 0 0 9 12 3 -4.44089209850063e-16
+6 0 0 0 0 9 12 4 -4.44089209850063e-16
+6 0 0 0 0 9 12 5 -4.44089209850063e-16
+6 0 0 0 0 9 12 6 -4.44089209850063e-16
+6 0 0 0 0 9 12 7 -4.44089209850063e-16
+6 0 0 0 0 9 12 8 -4.44089209850063e-16
+6 0 0 0 0 9 12 9 -4.44089209850063e-16
+6 0 0 0 0 9 12 10 -4.44089209850063e-16
+6 0 0 0 0 9 12 11 -4.44089209850063e-16
+6 0 0 0 0 9 12 12 -4.44089209850063e-16
+6 0 0 0 0 9 12 13 -4.44089209850063e-16
+6 0 0 0 0 9 12 14 -4.44089209850063e-16
+6 0 0 0 0 9 12 15 -4.44089209850063e-16
+6 0 0 0 0 9 12 16 -4.44089209850063e-16
+6 0 0 0 0 9 12 17 -4.44089209850063e-16
+6 0 0 0 0 9 12 18 -4.44089209850063e-16
+6 0 0 0 0 9 12 19 -4.44089209850063e-16
+6 0 0 0 0 9 12 20 -4.44089209850063e-16
+6 0 0 0 0 9 12 21 -4.44089209850063e-16
+6 0 0 0 0 9 12 22 -4.44089209850063e-16
+6 0 0 0 0 9 12 23 -4.44089209850063e-16
+6 0 0 0 0 9 12 24 -4.44089209850063e-16
+6 0 0 0 0 9 12 25 -4.44089209850063e-16
+6 0 0 0 0 9 12 26 -4.44089209850063e-16
+6 0 0 0 0 9 12 27 -4.44089209850063e-16
+6 0 0 0 0 9 12 28 -4.44089209850063e-16
+6 0 0 0 0 9 12 29 -4.44089209850063e-16
+6 0 0 0 0 9 12 30 -4.44089209850063e-16
+6 0 0 0 0 9 12 31 -4.44089209850063e-16
+6 0 0 0 0 9 12 32 -4.44089209850063e-16
+6 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.xl
new file mode 100644
index 000000000..ec487ca98
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.xl
@@ -0,0 +1,170 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 0
+0 0 0 0 0 1 12 16 0
+0 0 0 0 0 2 12 16 0
+0 0 0 0 0 3 12 16 0
+0 0 0 0 0 4 12 16 0
+0 0 0 0 0 5 12 16 0
+0 0 0 0 0 6 12 16 0
+0 0 0 0 0 7 12 16 0
+0 0 0 0 0 8 12 16 0
+0 0 0 0 0 9 12 16 0
+0 0 0 0 0 10 12 16 0
+0 0 0 0 0 11 12 16 0
+0 0 0 0 0 12 12 16 0
+0 0 0 0 0 13 12 16 0
+0 0 0 0 0 14 12 16 0
+0 0 0 0 0 15 12 16 0
+0 0 0 0 0 16 12 16 0
+0 0 0 0 0 17 12 16 0
+0 0 0 0 0 18 12 16 0
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 0
+1 0 0 0 0 1 12 16 0
+1 0 0 0 0 2 12 16 0
+1 0 0 0 0 3 12 16 0
+1 0 0 0 0 4 12 16 0
+1 0 0 0 0 5 12 16 0
+1 0 0 0 0 6 12 16 0
+1 0 0 0 0 7 12 16 0
+1 0 0 0 0 8 12 16 0
+1 0 0 0 0 9 12 16 0
+1 0 0 0 0 10 12 16 0
+1 0 0 0 0 11 12 16 0
+1 0 0 0 0 12 12 16 0
+1 0 0 0 0 13 12 16 0
+1 0 0 0 0 14 12 16 0
+1 0 0 0 0 15 12 16 0
+1 0 0 0 0 16 12 16 0
+1 0 0 0 0 17 12 16 0
+1 0 0 0 0 18 12 16 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 0
+2 0 0 0 0 1 12 16 0
+2 0 0 0 0 2 12 16 0
+2 0 0 0 0 3 12 16 0
+2 0 0 0 0 4 12 16 0
+2 0 0 0 0 5 12 16 0
+2 0 0 0 0 6 12 16 0
+2 0 0 0 0 7 12 16 0
+2 0 0 0 0 8 12 16 0
+2 0 0 0 0 9 12 16 0
+2 0 0 0 0 10 12 16 0
+2 0 0 0 0 11 12 16 0
+2 0 0 0 0 12 12 16 0
+2 0 0 0 0 13 12 16 0
+2 0 0 0 0 14 12 16 0
+2 0 0 0 0 15 12 16 0
+2 0 0 0 0 16 12 16 0
+2 0 0 0 0 17 12 16 0
+2 0 0 0 0 18 12 16 0
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 0
+3 0 0 0 0 1 12 16 0
+3 0 0 0 0 2 12 16 0
+3 0 0 0 0 3 12 16 0
+3 0 0 0 0 4 12 16 0
+3 0 0 0 0 5 12 16 0
+3 0 0 0 0 6 12 16 0
+3 0 0 0 0 7 12 16 0
+3 0 0 0 0 8 12 16 0
+3 0 0 0 0 9 12 16 0
+3 0 0 0 0 10 12 16 0
+3 0 0 0 0 11 12 16 0
+3 0 0 0 0 12 12 16 0
+3 0 0 0 0 13 12 16 0
+3 0 0 0 0 14 12 16 0
+3 0 0 0 0 15 12 16 0
+3 0 0 0 0 16 12 16 0
+3 0 0 0 0 17 12 16 0
+3 0 0 0 0 18 12 16 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 0
+4 0 0 0 0 1 12 16 0
+4 0 0 0 0 2 12 16 0
+4 0 0 0 0 3 12 16 0
+4 0 0 0 0 4 12 16 0
+4 0 0 0 0 5 12 16 0
+4 0 0 0 0 6 12 16 0
+4 0 0 0 0 7 12 16 0
+4 0 0 0 0 8 12 16 0
+4 0 0 0 0 9 12 16 0
+4 0 0 0 0 10 12 16 0
+4 0 0 0 0 11 12 16 0
+4 0 0 0 0 12 12 16 0
+4 0 0 0 0 13 12 16 0
+4 0 0 0 0 14 12 16 0
+4 0 0 0 0 15 12 16 0
+4 0 0 0 0 16 12 16 0
+4 0 0 0 0 17 12 16 0
+4 0 0 0 0 18 12 16 0
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 0
+5 0 0 0 0 1 12 16 0
+5 0 0 0 0 2 12 16 0
+5 0 0 0 0 3 12 16 0
+5 0 0 0 0 4 12 16 0
+5 0 0 0 0 5 12 16 0
+5 0 0 0 0 6 12 16 0
+5 0 0 0 0 7 12 16 0
+5 0 0 0 0 8 12 16 0
+5 0 0 0 0 9 12 16 0
+5 0 0 0 0 10 12 16 0
+5 0 0 0 0 11 12 16 0
+5 0 0 0 0 12 12 16 0
+5 0 0 0 0 13 12 16 0
+5 0 0 0 0 14 12 16 0
+5 0 0 0 0 15 12 16 0
+5 0 0 0 0 16 12 16 0
+5 0 0 0 0 17 12 16 0
+5 0 0 0 0 18 12 16 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 0
+6 0 0 0 0 1 12 16 0
+6 0 0 0 0 2 12 16 0
+6 0 0 0 0 3 12 16 0
+6 0 0 0 0 4 12 16 0
+6 0 0 0 0 5 12 16 0
+6 0 0 0 0 6 12 16 0
+6 0 0 0 0 7 12 16 0
+6 0 0 0 0 8 12 16 0
+6 0 0 0 0 9 12 16 0
+6 0 0 0 0 10 12 16 0
+6 0 0 0 0 11 12 16 0
+6 0 0 0 0 12 12 16 0
+6 0 0 0 0 13 12 16 0
+6 0 0 0 0 14 12 16 0
+6 0 0 0 0 15 12 16 0
+6 0 0 0 0 16 12 16 0
+6 0 0 0 0 17 12 16 0
+6 0 0 0 0 18 12 16 0
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.yl
new file mode 100644
index 000000000..c52bfeb8e
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.yl
@@ -0,0 +1,219 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 0
+0 0 0 0 0 9 1 16 0
+0 0 0 0 0 9 2 16 0
+0 0 0 0 0 9 3 16 0
+0 0 0 0 0 9 4 16 0
+0 0 0 0 0 9 5 16 0
+0 0 0 0 0 9 6 16 0
+0 0 0 0 0 9 7 16 0
+0 0 0 0 0 9 8 16 0
+0 0 0 0 0 9 9 16 0
+0 0 0 0 0 9 10 16 0
+0 0 0 0 0 9 11 16 0
+0 0 0 0 0 9 12 16 0
+0 0 0 0 0 9 13 16 0
+0 0 0 0 0 9 14 16 0
+0 0 0 0 0 9 15 16 0
+0 0 0 0 0 9 16 16 0
+0 0 0 0 0 9 17 16 0
+0 0 0 0 0 9 18 16 0
+0 0 0 0 0 9 19 16 0
+0 0 0 0 0 9 20 16 0
+0 0 0 0 0 9 21 16 0
+0 0 0 0 0 9 22 16 0
+0 0 0 0 0 9 23 16 0
+0 0 0 0 0 9 24 16 0
+0 0 0 0 0 9 25 16 0
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 0
+1 0 0 0 0 9 1 16 0
+1 0 0 0 0 9 2 16 0
+1 0 0 0 0 9 3 16 0
+1 0 0 0 0 9 4 16 0
+1 0 0 0 0 9 5 16 0
+1 0 0 0 0 9 6 16 0
+1 0 0 0 0 9 7 16 0
+1 0 0 0 0 9 8 16 0
+1 0 0 0 0 9 9 16 0
+1 0 0 0 0 9 10 16 0
+1 0 0 0 0 9 11 16 0
+1 0 0 0 0 9 12 16 0
+1 0 0 0 0 9 13 16 0
+1 0 0 0 0 9 14 16 0
+1 0 0 0 0 9 15 16 0
+1 0 0 0 0 9 16 16 0
+1 0 0 0 0 9 17 16 0
+1 0 0 0 0 9 18 16 0
+1 0 0 0 0 9 19 16 0
+1 0 0 0 0 9 20 16 0
+1 0 0 0 0 9 21 16 0
+1 0 0 0 0 9 22 16 0
+1 0 0 0 0 9 23 16 0
+1 0 0 0 0 9 24 16 0
+1 0 0 0 0 9 25 16 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 0
+2 0 0 0 0 9 1 16 0
+2 0 0 0 0 9 2 16 0
+2 0 0 0 0 9 3 16 0
+2 0 0 0 0 9 4 16 0
+2 0 0 0 0 9 5 16 0
+2 0 0 0 0 9 6 16 0
+2 0 0 0 0 9 7 16 0
+2 0 0 0 0 9 8 16 0
+2 0 0 0 0 9 9 16 0
+2 0 0 0 0 9 10 16 0
+2 0 0 0 0 9 11 16 0
+2 0 0 0 0 9 12 16 0
+2 0 0 0 0 9 13 16 0
+2 0 0 0 0 9 14 16 0
+2 0 0 0 0 9 15 16 0
+2 0 0 0 0 9 16 16 0
+2 0 0 0 0 9 17 16 0
+2 0 0 0 0 9 18 16 0
+2 0 0 0 0 9 19 16 0
+2 0 0 0 0 9 20 16 0
+2 0 0 0 0 9 21 16 0
+2 0 0 0 0 9 22 16 0
+2 0 0 0 0 9 23 16 0
+2 0 0 0 0 9 24 16 0
+2 0 0 0 0 9 25 16 0
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 0
+3 0 0 0 0 9 1 16 0
+3 0 0 0 0 9 2 16 0
+3 0 0 0 0 9 3 16 0
+3 0 0 0 0 9 4 16 0
+3 0 0 0 0 9 5 16 0
+3 0 0 0 0 9 6 16 0
+3 0 0 0 0 9 7 16 0
+3 0 0 0 0 9 8 16 0
+3 0 0 0 0 9 9 16 0
+3 0 0 0 0 9 10 16 0
+3 0 0 0 0 9 11 16 0
+3 0 0 0 0 9 12 16 0
+3 0 0 0 0 9 13 16 0
+3 0 0 0 0 9 14 16 0
+3 0 0 0 0 9 15 16 0
+3 0 0 0 0 9 16 16 0
+3 0 0 0 0 9 17 16 0
+3 0 0 0 0 9 18 16 0
+3 0 0 0 0 9 19 16 0
+3 0 0 0 0 9 20 16 0
+3 0 0 0 0 9 21 16 0
+3 0 0 0 0 9 22 16 0
+3 0 0 0 0 9 23 16 0
+3 0 0 0 0 9 24 16 0
+3 0 0 0 0 9 25 16 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 0
+4 0 0 0 0 9 1 16 0
+4 0 0 0 0 9 2 16 0
+4 0 0 0 0 9 3 16 0
+4 0 0 0 0 9 4 16 0
+4 0 0 0 0 9 5 16 0
+4 0 0 0 0 9 6 16 0
+4 0 0 0 0 9 7 16 0
+4 0 0 0 0 9 8 16 0
+4 0 0 0 0 9 9 16 0
+4 0 0 0 0 9 10 16 0
+4 0 0 0 0 9 11 16 0
+4 0 0 0 0 9 12 16 0
+4 0 0 0 0 9 13 16 0
+4 0 0 0 0 9 14 16 0
+4 0 0 0 0 9 15 16 0
+4 0 0 0 0 9 16 16 0
+4 0 0 0 0 9 17 16 0
+4 0 0 0 0 9 18 16 0
+4 0 0 0 0 9 19 16 0
+4 0 0 0 0 9 20 16 0
+4 0 0 0 0 9 21 16 0
+4 0 0 0 0 9 22 16 0
+4 0 0 0 0 9 23 16 0
+4 0 0 0 0 9 24 16 0
+4 0 0 0 0 9 25 16 0
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 0
+5 0 0 0 0 9 1 16 0
+5 0 0 0 0 9 2 16 0
+5 0 0 0 0 9 3 16 0
+5 0 0 0 0 9 4 16 0
+5 0 0 0 0 9 5 16 0
+5 0 0 0 0 9 6 16 0
+5 0 0 0 0 9 7 16 0
+5 0 0 0 0 9 8 16 0
+5 0 0 0 0 9 9 16 0
+5 0 0 0 0 9 10 16 0
+5 0 0 0 0 9 11 16 0
+5 0 0 0 0 9 12 16 0
+5 0 0 0 0 9 13 16 0
+5 0 0 0 0 9 14 16 0
+5 0 0 0 0 9 15 16 0
+5 0 0 0 0 9 16 16 0
+5 0 0 0 0 9 17 16 0
+5 0 0 0 0 9 18 16 0
+5 0 0 0 0 9 19 16 0
+5 0 0 0 0 9 20 16 0
+5 0 0 0 0 9 21 16 0
+5 0 0 0 0 9 22 16 0
+5 0 0 0 0 9 23 16 0
+5 0 0 0 0 9 24 16 0
+5 0 0 0 0 9 25 16 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0
+6 0 0 0 0 9 1 16 0
+6 0 0 0 0 9 2 16 0
+6 0 0 0 0 9 3 16 0
+6 0 0 0 0 9 4 16 0
+6 0 0 0 0 9 5 16 0
+6 0 0 0 0 9 6 16 0
+6 0 0 0 0 9 7 16 0
+6 0 0 0 0 9 8 16 0
+6 0 0 0 0 9 9 16 0
+6 0 0 0 0 9 10 16 0
+6 0 0 0 0 9 11 16 0
+6 0 0 0 0 9 12 16 0
+6 0 0 0 0 9 13 16 0
+6 0 0 0 0 9 14 16 0
+6 0 0 0 0 9 15 16 0
+6 0 0 0 0 9 16 16 0
+6 0 0 0 0 9 17 16 0
+6 0 0 0 0 9 18 16 0
+6 0 0 0 0 9 19 16 0
+6 0 0 0 0 9 20 16 0
+6 0 0 0 0 9 21 16 0
+6 0 0 0 0 9 22 16 0
+6 0 0 0 0 9 23 16 0
+6 0 0 0 0 9 24 16 0
+6 0 0 0 0 9 25 16 0
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.zl
new file mode 100644
index 000000000..53d0c0b35
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.zl
@@ -0,0 +1,275 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 -9.6
+0 0 0 0 0 9 12 1 -9
+0 0 0 0 0 9 12 2 -8.4
+0 0 0 0 0 9 12 3 -7.8
+0 0 0 0 0 9 12 4 -7.2
+0 0 0 0 0 9 12 5 -6.6
+0 0 0 0 0 9 12 6 -6
+0 0 0 0 0 9 12 7 -5.4
+0 0 0 0 0 9 12 8 -4.8
+0 0 0 0 0 9 12 9 -4.2
+0 0 0 0 0 9 12 10 -3.6
+0 0 0 0 0 9 12 11 -3
+0 0 0 0 0 9 12 12 -2.4
+0 0 0 0 0 9 12 13 -1.8
+0 0 0 0 0 9 12 14 -1.2
+0 0 0 0 0 9 12 15 -0.6
+0 0 0 0 0 9 12 16 0
+0 0 0 0 0 9 12 17 0.6
+0 0 0 0 0 9 12 18 1.2
+0 0 0 0 0 9 12 19 1.8
+0 0 0 0 0 9 12 20 2.4
+0 0 0 0 0 9 12 21 3
+0 0 0 0 0 9 12 22 3.6
+0 0 0 0 0 9 12 23 4.2
+0 0 0 0 0 9 12 24 4.8
+0 0 0 0 0 9 12 25 5.4
+0 0 0 0 0 9 12 26 6
+0 0 0 0 0 9 12 27 6.6
+0 0 0 0 0 9 12 28 7.2
+0 0 0 0 0 9 12 29 7.8
+0 0 0 0 0 9 12 30 8.4
+0 0 0 0 0 9 12 31 9
+0 0 0 0 0 9 12 32 9.6
+0 0 0 0 0 9 12 33 10.2
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 -9.6
+1 0 0 0 0 9 12 1 -9
+1 0 0 0 0 9 12 2 -8.4
+1 0 0 0 0 9 12 3 -7.8
+1 0 0 0 0 9 12 4 -7.2
+1 0 0 0 0 9 12 5 -6.6
+1 0 0 0 0 9 12 6 -6
+1 0 0 0 0 9 12 7 -5.4
+1 0 0 0 0 9 12 8 -4.8
+1 0 0 0 0 9 12 9 -4.2
+1 0 0 0 0 9 12 10 -3.6
+1 0 0 0 0 9 12 11 -3
+1 0 0 0 0 9 12 12 -2.4
+1 0 0 0 0 9 12 13 -1.8
+1 0 0 0 0 9 12 14 -1.2
+1 0 0 0 0 9 12 15 -0.6
+1 0 0 0 0 9 12 16 0
+1 0 0 0 0 9 12 17 0.6
+1 0 0 0 0 9 12 18 1.2
+1 0 0 0 0 9 12 19 1.8
+1 0 0 0 0 9 12 20 2.4
+1 0 0 0 0 9 12 21 3
+1 0 0 0 0 9 12 22 3.6
+1 0 0 0 0 9 12 23 4.2
+1 0 0 0 0 9 12 24 4.8
+1 0 0 0 0 9 12 25 5.4
+1 0 0 0 0 9 12 26 6
+1 0 0 0 0 9 12 27 6.6
+1 0 0 0 0 9 12 28 7.2
+1 0 0 0 0 9 12 29 7.8
+1 0 0 0 0 9 12 30 8.4
+1 0 0 0 0 9 12 31 9
+1 0 0 0 0 9 12 32 9.6
+1 0 0 0 0 9 12 33 10.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 -9.6
+2 0 0 0 0 9 12 1 -9
+2 0 0 0 0 9 12 2 -8.4
+2 0 0 0 0 9 12 3 -7.8
+2 0 0 0 0 9 12 4 -7.2
+2 0 0 0 0 9 12 5 -6.6
+2 0 0 0 0 9 12 6 -6
+2 0 0 0 0 9 12 7 -5.4
+2 0 0 0 0 9 12 8 -4.8
+2 0 0 0 0 9 12 9 -4.2
+2 0 0 0 0 9 12 10 -3.6
+2 0 0 0 0 9 12 11 -3
+2 0 0 0 0 9 12 12 -2.4
+2 0 0 0 0 9 12 13 -1.8
+2 0 0 0 0 9 12 14 -1.2
+2 0 0 0 0 9 12 15 -0.6
+2 0 0 0 0 9 12 16 0
+2 0 0 0 0 9 12 17 0.6
+2 0 0 0 0 9 12 18 1.2
+2 0 0 0 0 9 12 19 1.8
+2 0 0 0 0 9 12 20 2.4
+2 0 0 0 0 9 12 21 3
+2 0 0 0 0 9 12 22 3.6
+2 0 0 0 0 9 12 23 4.2
+2 0 0 0 0 9 12 24 4.8
+2 0 0 0 0 9 12 25 5.4
+2 0 0 0 0 9 12 26 6
+2 0 0 0 0 9 12 27 6.6
+2 0 0 0 0 9 12 28 7.2
+2 0 0 0 0 9 12 29 7.8
+2 0 0 0 0 9 12 30 8.4
+2 0 0 0 0 9 12 31 9
+2 0 0 0 0 9 12 32 9.6
+2 0 0 0 0 9 12 33 10.2
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 -9.6
+3 0 0 0 0 9 12 1 -9
+3 0 0 0 0 9 12 2 -8.4
+3 0 0 0 0 9 12 3 -7.8
+3 0 0 0 0 9 12 4 -7.2
+3 0 0 0 0 9 12 5 -6.6
+3 0 0 0 0 9 12 6 -6
+3 0 0 0 0 9 12 7 -5.4
+3 0 0 0 0 9 12 8 -4.8
+3 0 0 0 0 9 12 9 -4.2
+3 0 0 0 0 9 12 10 -3.6
+3 0 0 0 0 9 12 11 -3
+3 0 0 0 0 9 12 12 -2.4
+3 0 0 0 0 9 12 13 -1.8
+3 0 0 0 0 9 12 14 -1.2
+3 0 0 0 0 9 12 15 -0.6
+3 0 0 0 0 9 12 16 0
+3 0 0 0 0 9 12 17 0.6
+3 0 0 0 0 9 12 18 1.2
+3 0 0 0 0 9 12 19 1.8
+3 0 0 0 0 9 12 20 2.4
+3 0 0 0 0 9 12 21 3
+3 0 0 0 0 9 12 22 3.6
+3 0 0 0 0 9 12 23 4.2
+3 0 0 0 0 9 12 24 4.8
+3 0 0 0 0 9 12 25 5.4
+3 0 0 0 0 9 12 26 6
+3 0 0 0 0 9 12 27 6.6
+3 0 0 0 0 9 12 28 7.2
+3 0 0 0 0 9 12 29 7.8
+3 0 0 0 0 9 12 30 8.4
+3 0 0 0 0 9 12 31 9
+3 0 0 0 0 9 12 32 9.6
+3 0 0 0 0 9 12 33 10.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 -9.6
+4 0 0 0 0 9 12 1 -9
+4 0 0 0 0 9 12 2 -8.4
+4 0 0 0 0 9 12 3 -7.8
+4 0 0 0 0 9 12 4 -7.2
+4 0 0 0 0 9 12 5 -6.6
+4 0 0 0 0 9 12 6 -6
+4 0 0 0 0 9 12 7 -5.4
+4 0 0 0 0 9 12 8 -4.8
+4 0 0 0 0 9 12 9 -4.2
+4 0 0 0 0 9 12 10 -3.6
+4 0 0 0 0 9 12 11 -3
+4 0 0 0 0 9 12 12 -2.4
+4 0 0 0 0 9 12 13 -1.8
+4 0 0 0 0 9 12 14 -1.2
+4 0 0 0 0 9 12 15 -0.6
+4 0 0 0 0 9 12 16 0
+4 0 0 0 0 9 12 17 0.6
+4 0 0 0 0 9 12 18 1.2
+4 0 0 0 0 9 12 19 1.8
+4 0 0 0 0 9 12 20 2.4
+4 0 0 0 0 9 12 21 3
+4 0 0 0 0 9 12 22 3.6
+4 0 0 0 0 9 12 23 4.2
+4 0 0 0 0 9 12 24 4.8
+4 0 0 0 0 9 12 25 5.4
+4 0 0 0 0 9 12 26 6
+4 0 0 0 0 9 12 27 6.6
+4 0 0 0 0 9 12 28 7.2
+4 0 0 0 0 9 12 29 7.8
+4 0 0 0 0 9 12 30 8.4
+4 0 0 0 0 9 12 31 9
+4 0 0 0 0 9 12 32 9.6
+4 0 0 0 0 9 12 33 10.2
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 -9.6
+5 0 0 0 0 9 12 1 -9
+5 0 0 0 0 9 12 2 -8.4
+5 0 0 0 0 9 12 3 -7.8
+5 0 0 0 0 9 12 4 -7.2
+5 0 0 0 0 9 12 5 -6.6
+5 0 0 0 0 9 12 6 -6
+5 0 0 0 0 9 12 7 -5.4
+5 0 0 0 0 9 12 8 -4.8
+5 0 0 0 0 9 12 9 -4.2
+5 0 0 0 0 9 12 10 -3.6
+5 0 0 0 0 9 12 11 -3
+5 0 0 0 0 9 12 12 -2.4
+5 0 0 0 0 9 12 13 -1.8
+5 0 0 0 0 9 12 14 -1.2
+5 0 0 0 0 9 12 15 -0.6
+5 0 0 0 0 9 12 16 0
+5 0 0 0 0 9 12 17 0.6
+5 0 0 0 0 9 12 18 1.2
+5 0 0 0 0 9 12 19 1.8
+5 0 0 0 0 9 12 20 2.4
+5 0 0 0 0 9 12 21 3
+5 0 0 0 0 9 12 22 3.6
+5 0 0 0 0 9 12 23 4.2
+5 0 0 0 0 9 12 24 4.8
+5 0 0 0 0 9 12 25 5.4
+5 0 0 0 0 9 12 26 6
+5 0 0 0 0 9 12 27 6.6
+5 0 0 0 0 9 12 28 7.2
+5 0 0 0 0 9 12 29 7.8
+5 0 0 0 0 9 12 30 8.4
+5 0 0 0 0 9 12 31 9
+5 0 0 0 0 9 12 32 9.6
+5 0 0 0 0 9 12 33 10.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 -9.6
+6 0 0 0 0 9 12 1 -9
+6 0 0 0 0 9 12 2 -8.4
+6 0 0 0 0 9 12 3 -7.8
+6 0 0 0 0 9 12 4 -7.2
+6 0 0 0 0 9 12 5 -6.6
+6 0 0 0 0 9 12 6 -6
+6 0 0 0 0 9 12 7 -5.4
+6 0 0 0 0 9 12 8 -4.8
+6 0 0 0 0 9 12 9 -4.2
+6 0 0 0 0 9 12 10 -3.6
+6 0 0 0 0 9 12 11 -3
+6 0 0 0 0 9 12 12 -2.4
+6 0 0 0 0 9 12 13 -1.8
+6 0 0 0 0 9 12 14 -1.2
+6 0 0 0 0 9 12 15 -0.6
+6 0 0 0 0 9 12 16 0
+6 0 0 0 0 9 12 17 0.6
+6 0 0 0 0 9 12 18 1.2
+6 0 0 0 0 9 12 19 1.8
+6 0 0 0 0 9 12 20 2.4
+6 0 0 0 0 9 12 21 3
+6 0 0 0 0 9 12 22 3.6
+6 0 0 0 0 9 12 23 4.2
+6 0 0 0 0 9 12 24 4.8
+6 0 0 0 0 9 12 25 5.4
+6 0 0 0 0 9 12 26 6
+6 0 0 0 0 9 12 27 6.6
+6 0 0 0 0 9 12 28 7.2
+6 0 0 0 0 9 12 29 7.8
+6 0 0 0 0 9 12 30 8.4
+6 0 0 0 0 9 12 31 9
+6 0 0 0 0 9 12 32 9.6
+6 0 0 0 0 9 12 33 10.2
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.xl
new file mode 100644
index 000000000..5c26840e3
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.xl
@@ -0,0 +1,170 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 5.4
+0 0 0 0 0 1 12 16 4.8
+0 0 0 0 0 2 12 16 4.2
+0 0 0 0 0 3 12 16 3.6
+0 0 0 0 0 4 12 16 3
+0 0 0 0 0 5 12 16 2.4
+0 0 0 0 0 6 12 16 1.8
+0 0 0 0 0 7 12 16 1.2
+0 0 0 0 0 8 12 16 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 10 12 16 0.600000000000001
+0 0 0 0 0 11 12 16 1.2
+0 0 0 0 0 12 12 16 1.8
+0 0 0 0 0 13 12 16 2.4
+0 0 0 0 0 14 12 16 3
+0 0 0 0 0 15 12 16 3.6
+0 0 0 0 0 16 12 16 4.2
+0 0 0 0 0 17 12 16 4.8
+0 0 0 0 0 18 12 16 5.4
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 5.4
+1 0 0 0 0 1 12 16 4.8
+1 0 0 0 0 2 12 16 4.2
+1 0 0 0 0 3 12 16 3.6
+1 0 0 0 0 4 12 16 3
+1 0 0 0 0 5 12 16 2.4
+1 0 0 0 0 6 12 16 1.8
+1 0 0 0 0 7 12 16 1.2
+1 0 0 0 0 8 12 16 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 10 12 16 0.600000000000001
+1 0 0 0 0 11 12 16 1.2
+1 0 0 0 0 12 12 16 1.8
+1 0 0 0 0 13 12 16 2.4
+1 0 0 0 0 14 12 16 3
+1 0 0 0 0 15 12 16 3.6
+1 0 0 0 0 16 12 16 4.2
+1 0 0 0 0 17 12 16 4.8
+1 0 0 0 0 18 12 16 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 5.4
+2 0 0 0 0 1 12 16 4.8
+2 0 0 0 0 2 12 16 4.2
+2 0 0 0 0 3 12 16 3.6
+2 0 0 0 0 4 12 16 3
+2 0 0 0 0 5 12 16 2.4
+2 0 0 0 0 6 12 16 1.8
+2 0 0 0 0 7 12 16 1.2
+2 0 0 0 0 8 12 16 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 10 12 16 0.600000000000001
+2 0 0 0 0 11 12 16 1.2
+2 0 0 0 0 12 12 16 1.8
+2 0 0 0 0 13 12 16 2.4
+2 0 0 0 0 14 12 16 3
+2 0 0 0 0 15 12 16 3.6
+2 0 0 0 0 16 12 16 4.2
+2 0 0 0 0 17 12 16 4.8
+2 0 0 0 0 18 12 16 5.4
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 5.4
+3 0 0 0 0 1 12 16 4.8
+3 0 0 0 0 2 12 16 4.2
+3 0 0 0 0 3 12 16 3.6
+3 0 0 0 0 4 12 16 3
+3 0 0 0 0 5 12 16 2.4
+3 0 0 0 0 6 12 16 1.8
+3 0 0 0 0 7 12 16 1.2
+3 0 0 0 0 8 12 16 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 10 12 16 0.600000000000001
+3 0 0 0 0 11 12 16 1.2
+3 0 0 0 0 12 12 16 1.8
+3 0 0 0 0 13 12 16 2.4
+3 0 0 0 0 14 12 16 3
+3 0 0 0 0 15 12 16 3.6
+3 0 0 0 0 16 12 16 4.2
+3 0 0 0 0 17 12 16 4.8
+3 0 0 0 0 18 12 16 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 5.4
+4 0 0 0 0 1 12 16 4.8
+4 0 0 0 0 2 12 16 4.2
+4 0 0 0 0 3 12 16 3.6
+4 0 0 0 0 4 12 16 3
+4 0 0 0 0 5 12 16 2.4
+4 0 0 0 0 6 12 16 1.8
+4 0 0 0 0 7 12 16 1.2
+4 0 0 0 0 8 12 16 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 10 12 16 0.600000000000001
+4 0 0 0 0 11 12 16 1.2
+4 0 0 0 0 12 12 16 1.8
+4 0 0 0 0 13 12 16 2.4
+4 0 0 0 0 14 12 16 3
+4 0 0 0 0 15 12 16 3.6
+4 0 0 0 0 16 12 16 4.2
+4 0 0 0 0 17 12 16 4.8
+4 0 0 0 0 18 12 16 5.4
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 5.4
+5 0 0 0 0 1 12 16 4.8
+5 0 0 0 0 2 12 16 4.2
+5 0 0 0 0 3 12 16 3.6
+5 0 0 0 0 4 12 16 3
+5 0 0 0 0 5 12 16 2.4
+5 0 0 0 0 6 12 16 1.8
+5 0 0 0 0 7 12 16 1.2
+5 0 0 0 0 8 12 16 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 10 12 16 0.600000000000001
+5 0 0 0 0 11 12 16 1.2
+5 0 0 0 0 12 12 16 1.8
+5 0 0 0 0 13 12 16 2.4
+5 0 0 0 0 14 12 16 3
+5 0 0 0 0 15 12 16 3.6
+5 0 0 0 0 16 12 16 4.2
+5 0 0 0 0 17 12 16 4.8
+5 0 0 0 0 18 12 16 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 5.4
+6 0 0 0 0 1 12 16 4.8
+6 0 0 0 0 2 12 16 4.2
+6 0 0 0 0 3 12 16 3.6
+6 0 0 0 0 4 12 16 3
+6 0 0 0 0 5 12 16 2.4
+6 0 0 0 0 6 12 16 1.8
+6 0 0 0 0 7 12 16 1.2
+6 0 0 0 0 8 12 16 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 10 12 16 0.600000000000001
+6 0 0 0 0 11 12 16 1.2
+6 0 0 0 0 12 12 16 1.8
+6 0 0 0 0 13 12 16 2.4
+6 0 0 0 0 14 12 16 3
+6 0 0 0 0 15 12 16 3.6
+6 0 0 0 0 16 12 16 4.2
+6 0 0 0 0 17 12 16 4.8
+6 0 0 0 0 18 12 16 5.4
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.yl
new file mode 100644
index 000000000..3dccc92e2
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.yl
@@ -0,0 +1,219 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 7.2
+0 0 0 0 0 9 1 16 6.6
+0 0 0 0 0 9 2 16 6
+0 0 0 0 0 9 3 16 5.4
+0 0 0 0 0 9 4 16 4.8
+0 0 0 0 0 9 5 16 4.2
+0 0 0 0 0 9 6 16 3.6
+0 0 0 0 0 9 7 16 3
+0 0 0 0 0 9 8 16 2.4
+0 0 0 0 0 9 9 16 1.8
+0 0 0 0 0 9 10 16 1.2
+0 0 0 0 0 9 11 16 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 9 13 16 0.6
+0 0 0 0 0 9 14 16 1.2
+0 0 0 0 0 9 15 16 1.8
+0 0 0 0 0 9 16 16 2.4
+0 0 0 0 0 9 17 16 3
+0 0 0 0 0 9 18 16 3.6
+0 0 0 0 0 9 19 16 4.2
+0 0 0 0 0 9 20 16 4.8
+0 0 0 0 0 9 21 16 5.4
+0 0 0 0 0 9 22 16 6
+0 0 0 0 0 9 23 16 6.6
+0 0 0 0 0 9 24 16 7.2
+0 0 0 0 0 9 25 16 7.8
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 7.2
+1 0 0 0 0 9 1 16 6.6
+1 0 0 0 0 9 2 16 6
+1 0 0 0 0 9 3 16 5.4
+1 0 0 0 0 9 4 16 4.8
+1 0 0 0 0 9 5 16 4.2
+1 0 0 0 0 9 6 16 3.6
+1 0 0 0 0 9 7 16 3
+1 0 0 0 0 9 8 16 2.4
+1 0 0 0 0 9 9 16 1.8
+1 0 0 0 0 9 10 16 1.2
+1 0 0 0 0 9 11 16 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 9 13 16 0.6
+1 0 0 0 0 9 14 16 1.2
+1 0 0 0 0 9 15 16 1.8
+1 0 0 0 0 9 16 16 2.4
+1 0 0 0 0 9 17 16 3
+1 0 0 0 0 9 18 16 3.6
+1 0 0 0 0 9 19 16 4.2
+1 0 0 0 0 9 20 16 4.8
+1 0 0 0 0 9 21 16 5.4
+1 0 0 0 0 9 22 16 6
+1 0 0 0 0 9 23 16 6.6
+1 0 0 0 0 9 24 16 7.2
+1 0 0 0 0 9 25 16 7.8
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 7.2
+2 0 0 0 0 9 1 16 6.6
+2 0 0 0 0 9 2 16 6
+2 0 0 0 0 9 3 16 5.4
+2 0 0 0 0 9 4 16 4.8
+2 0 0 0 0 9 5 16 4.2
+2 0 0 0 0 9 6 16 3.6
+2 0 0 0 0 9 7 16 3
+2 0 0 0 0 9 8 16 2.4
+2 0 0 0 0 9 9 16 1.8
+2 0 0 0 0 9 10 16 1.2
+2 0 0 0 0 9 11 16 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 9 13 16 0.6
+2 0 0 0 0 9 14 16 1.2
+2 0 0 0 0 9 15 16 1.8
+2 0 0 0 0 9 16 16 2.4
+2 0 0 0 0 9 17 16 3
+2 0 0 0 0 9 18 16 3.6
+2 0 0 0 0 9 19 16 4.2
+2 0 0 0 0 9 20 16 4.8
+2 0 0 0 0 9 21 16 5.4
+2 0 0 0 0 9 22 16 6
+2 0 0 0 0 9 23 16 6.6
+2 0 0 0 0 9 24 16 7.2
+2 0 0 0 0 9 25 16 7.8
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 7.2
+3 0 0 0 0 9 1 16 6.6
+3 0 0 0 0 9 2 16 6
+3 0 0 0 0 9 3 16 5.4
+3 0 0 0 0 9 4 16 4.8
+3 0 0 0 0 9 5 16 4.2
+3 0 0 0 0 9 6 16 3.6
+3 0 0 0 0 9 7 16 3
+3 0 0 0 0 9 8 16 2.4
+3 0 0 0 0 9 9 16 1.8
+3 0 0 0 0 9 10 16 1.2
+3 0 0 0 0 9 11 16 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 9 13 16 0.6
+3 0 0 0 0 9 14 16 1.2
+3 0 0 0 0 9 15 16 1.8
+3 0 0 0 0 9 16 16 2.4
+3 0 0 0 0 9 17 16 3
+3 0 0 0 0 9 18 16 3.6
+3 0 0 0 0 9 19 16 4.2
+3 0 0 0 0 9 20 16 4.8
+3 0 0 0 0 9 21 16 5.4
+3 0 0 0 0 9 22 16 6
+3 0 0 0 0 9 23 16 6.6
+3 0 0 0 0 9 24 16 7.2
+3 0 0 0 0 9 25 16 7.8
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 7.2
+4 0 0 0 0 9 1 16 6.6
+4 0 0 0 0 9 2 16 6
+4 0 0 0 0 9 3 16 5.4
+4 0 0 0 0 9 4 16 4.8
+4 0 0 0 0 9 5 16 4.2
+4 0 0 0 0 9 6 16 3.6
+4 0 0 0 0 9 7 16 3
+4 0 0 0 0 9 8 16 2.4
+4 0 0 0 0 9 9 16 1.8
+4 0 0 0 0 9 10 16 1.2
+4 0 0 0 0 9 11 16 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 9 13 16 0.6
+4 0 0 0 0 9 14 16 1.2
+4 0 0 0 0 9 15 16 1.8
+4 0 0 0 0 9 16 16 2.4
+4 0 0 0 0 9 17 16 3
+4 0 0 0 0 9 18 16 3.6
+4 0 0 0 0 9 19 16 4.2
+4 0 0 0 0 9 20 16 4.8
+4 0 0 0 0 9 21 16 5.4
+4 0 0 0 0 9 22 16 6
+4 0 0 0 0 9 23 16 6.6
+4 0 0 0 0 9 24 16 7.2
+4 0 0 0 0 9 25 16 7.8
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 7.2
+5 0 0 0 0 9 1 16 6.6
+5 0 0 0 0 9 2 16 6
+5 0 0 0 0 9 3 16 5.4
+5 0 0 0 0 9 4 16 4.8
+5 0 0 0 0 9 5 16 4.2
+5 0 0 0 0 9 6 16 3.6
+5 0 0 0 0 9 7 16 3
+5 0 0 0 0 9 8 16 2.4
+5 0 0 0 0 9 9 16 1.8
+5 0 0 0 0 9 10 16 1.2
+5 0 0 0 0 9 11 16 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 9 13 16 0.6
+5 0 0 0 0 9 14 16 1.2
+5 0 0 0 0 9 15 16 1.8
+5 0 0 0 0 9 16 16 2.4
+5 0 0 0 0 9 17 16 3
+5 0 0 0 0 9 18 16 3.6
+5 0 0 0 0 9 19 16 4.2
+5 0 0 0 0 9 20 16 4.8
+5 0 0 0 0 9 21 16 5.4
+5 0 0 0 0 9 22 16 6
+5 0 0 0 0 9 23 16 6.6
+5 0 0 0 0 9 24 16 7.2
+5 0 0 0 0 9 25 16 7.8
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 7.2
+6 0 0 0 0 9 1 16 6.6
+6 0 0 0 0 9 2 16 6
+6 0 0 0 0 9 3 16 5.4
+6 0 0 0 0 9 4 16 4.8
+6 0 0 0 0 9 5 16 4.2
+6 0 0 0 0 9 6 16 3.6
+6 0 0 0 0 9 7 16 3
+6 0 0 0 0 9 8 16 2.4
+6 0 0 0 0 9 9 16 1.8
+6 0 0 0 0 9 10 16 1.2
+6 0 0 0 0 9 11 16 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 9 13 16 0.6
+6 0 0 0 0 9 14 16 1.2
+6 0 0 0 0 9 15 16 1.8
+6 0 0 0 0 9 16 16 2.4
+6 0 0 0 0 9 17 16 3
+6 0 0 0 0 9 18 16 3.6
+6 0 0 0 0 9 19 16 4.2
+6 0 0 0 0 9 20 16 4.8
+6 0 0 0 0 9 21 16 5.4
+6 0 0 0 0 9 22 16 6
+6 0 0 0 0 9 23 16 6.6
+6 0 0 0 0 9 24 16 7.2
+6 0 0 0 0 9 25 16 7.8
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.zl
new file mode 100644
index 000000000..0d3ac2541
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.zl
@@ -0,0 +1,275 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 9.6
+0 0 0 0 0 9 12 1 9
+0 0 0 0 0 9 12 2 8.4
+0 0 0 0 0 9 12 3 7.8
+0 0 0 0 0 9 12 4 7.2
+0 0 0 0 0 9 12 5 6.6
+0 0 0 0 0 9 12 6 6
+0 0 0 0 0 9 12 7 5.4
+0 0 0 0 0 9 12 8 4.8
+0 0 0 0 0 9 12 9 4.2
+0 0 0 0 0 9 12 10 3.6
+0 0 0 0 0 9 12 11 3
+0 0 0 0 0 9 12 12 2.4
+0 0 0 0 0 9 12 13 1.8
+0 0 0 0 0 9 12 14 1.2
+0 0 0 0 0 9 12 15 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 9 12 17 0.6
+0 0 0 0 0 9 12 18 1.2
+0 0 0 0 0 9 12 19 1.8
+0 0 0 0 0 9 12 20 2.4
+0 0 0 0 0 9 12 21 3
+0 0 0 0 0 9 12 22 3.6
+0 0 0 0 0 9 12 23 4.2
+0 0 0 0 0 9 12 24 4.8
+0 0 0 0 0 9 12 25 5.4
+0 0 0 0 0 9 12 26 6
+0 0 0 0 0 9 12 27 6.6
+0 0 0 0 0 9 12 28 7.2
+0 0 0 0 0 9 12 29 7.8
+0 0 0 0 0 9 12 30 8.4
+0 0 0 0 0 9 12 31 9
+0 0 0 0 0 9 12 32 9.6
+0 0 0 0 0 9 12 33 10.2
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 9.6
+1 0 0 0 0 9 12 1 9
+1 0 0 0 0 9 12 2 8.4
+1 0 0 0 0 9 12 3 7.8
+1 0 0 0 0 9 12 4 7.2
+1 0 0 0 0 9 12 5 6.6
+1 0 0 0 0 9 12 6 6
+1 0 0 0 0 9 12 7 5.4
+1 0 0 0 0 9 12 8 4.8
+1 0 0 0 0 9 12 9 4.2
+1 0 0 0 0 9 12 10 3.6
+1 0 0 0 0 9 12 11 3
+1 0 0 0 0 9 12 12 2.4
+1 0 0 0 0 9 12 13 1.8
+1 0 0 0 0 9 12 14 1.2
+1 0 0 0 0 9 12 15 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 9 12 17 0.6
+1 0 0 0 0 9 12 18 1.2
+1 0 0 0 0 9 12 19 1.8
+1 0 0 0 0 9 12 20 2.4
+1 0 0 0 0 9 12 21 3
+1 0 0 0 0 9 12 22 3.6
+1 0 0 0 0 9 12 23 4.2
+1 0 0 0 0 9 12 24 4.8
+1 0 0 0 0 9 12 25 5.4
+1 0 0 0 0 9 12 26 6
+1 0 0 0 0 9 12 27 6.6
+1 0 0 0 0 9 12 28 7.2
+1 0 0 0 0 9 12 29 7.8
+1 0 0 0 0 9 12 30 8.4
+1 0 0 0 0 9 12 31 9
+1 0 0 0 0 9 12 32 9.6
+1 0 0 0 0 9 12 33 10.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 9.6
+2 0 0 0 0 9 12 1 9
+2 0 0 0 0 9 12 2 8.4
+2 0 0 0 0 9 12 3 7.8
+2 0 0 0 0 9 12 4 7.2
+2 0 0 0 0 9 12 5 6.6
+2 0 0 0 0 9 12 6 6
+2 0 0 0 0 9 12 7 5.4
+2 0 0 0 0 9 12 8 4.8
+2 0 0 0 0 9 12 9 4.2
+2 0 0 0 0 9 12 10 3.6
+2 0 0 0 0 9 12 11 3
+2 0 0 0 0 9 12 12 2.4
+2 0 0 0 0 9 12 13 1.8
+2 0 0 0 0 9 12 14 1.2
+2 0 0 0 0 9 12 15 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 9 12 17 0.6
+2 0 0 0 0 9 12 18 1.2
+2 0 0 0 0 9 12 19 1.8
+2 0 0 0 0 9 12 20 2.4
+2 0 0 0 0 9 12 21 3
+2 0 0 0 0 9 12 22 3.6
+2 0 0 0 0 9 12 23 4.2
+2 0 0 0 0 9 12 24 4.8
+2 0 0 0 0 9 12 25 5.4
+2 0 0 0 0 9 12 26 6
+2 0 0 0 0 9 12 27 6.6
+2 0 0 0 0 9 12 28 7.2
+2 0 0 0 0 9 12 29 7.8
+2 0 0 0 0 9 12 30 8.4
+2 0 0 0 0 9 12 31 9
+2 0 0 0 0 9 12 32 9.6
+2 0 0 0 0 9 12 33 10.2
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 9.6
+3 0 0 0 0 9 12 1 9
+3 0 0 0 0 9 12 2 8.4
+3 0 0 0 0 9 12 3 7.8
+3 0 0 0 0 9 12 4 7.2
+3 0 0 0 0 9 12 5 6.6
+3 0 0 0 0 9 12 6 6
+3 0 0 0 0 9 12 7 5.4
+3 0 0 0 0 9 12 8 4.8
+3 0 0 0 0 9 12 9 4.2
+3 0 0 0 0 9 12 10 3.6
+3 0 0 0 0 9 12 11 3
+3 0 0 0 0 9 12 12 2.4
+3 0 0 0 0 9 12 13 1.8
+3 0 0 0 0 9 12 14 1.2
+3 0 0 0 0 9 12 15 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 9 12 17 0.6
+3 0 0 0 0 9 12 18 1.2
+3 0 0 0 0 9 12 19 1.8
+3 0 0 0 0 9 12 20 2.4
+3 0 0 0 0 9 12 21 3
+3 0 0 0 0 9 12 22 3.6
+3 0 0 0 0 9 12 23 4.2
+3 0 0 0 0 9 12 24 4.8
+3 0 0 0 0 9 12 25 5.4
+3 0 0 0 0 9 12 26 6
+3 0 0 0 0 9 12 27 6.6
+3 0 0 0 0 9 12 28 7.2
+3 0 0 0 0 9 12 29 7.8
+3 0 0 0 0 9 12 30 8.4
+3 0 0 0 0 9 12 31 9
+3 0 0 0 0 9 12 32 9.6
+3 0 0 0 0 9 12 33 10.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 9.6
+4 0 0 0 0 9 12 1 9
+4 0 0 0 0 9 12 2 8.4
+4 0 0 0 0 9 12 3 7.8
+4 0 0 0 0 9 12 4 7.2
+4 0 0 0 0 9 12 5 6.6
+4 0 0 0 0 9 12 6 6
+4 0 0 0 0 9 12 7 5.4
+4 0 0 0 0 9 12 8 4.8
+4 0 0 0 0 9 12 9 4.2
+4 0 0 0 0 9 12 10 3.6
+4 0 0 0 0 9 12 11 3
+4 0 0 0 0 9 12 12 2.4
+4 0 0 0 0 9 12 13 1.8
+4 0 0 0 0 9 12 14 1.2
+4 0 0 0 0 9 12 15 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 9 12 17 0.6
+4 0 0 0 0 9 12 18 1.2
+4 0 0 0 0 9 12 19 1.8
+4 0 0 0 0 9 12 20 2.4
+4 0 0 0 0 9 12 21 3
+4 0 0 0 0 9 12 22 3.6
+4 0 0 0 0 9 12 23 4.2
+4 0 0 0 0 9 12 24 4.8
+4 0 0 0 0 9 12 25 5.4
+4 0 0 0 0 9 12 26 6
+4 0 0 0 0 9 12 27 6.6
+4 0 0 0 0 9 12 28 7.2
+4 0 0 0 0 9 12 29 7.8
+4 0 0 0 0 9 12 30 8.4
+4 0 0 0 0 9 12 31 9
+4 0 0 0 0 9 12 32 9.6
+4 0 0 0 0 9 12 33 10.2
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 9.6
+5 0 0 0 0 9 12 1 9
+5 0 0 0 0 9 12 2 8.4
+5 0 0 0 0 9 12 3 7.8
+5 0 0 0 0 9 12 4 7.2
+5 0 0 0 0 9 12 5 6.6
+5 0 0 0 0 9 12 6 6
+5 0 0 0 0 9 12 7 5.4
+5 0 0 0 0 9 12 8 4.8
+5 0 0 0 0 9 12 9 4.2
+5 0 0 0 0 9 12 10 3.6
+5 0 0 0 0 9 12 11 3
+5 0 0 0 0 9 12 12 2.4
+5 0 0 0 0 9 12 13 1.8
+5 0 0 0 0 9 12 14 1.2
+5 0 0 0 0 9 12 15 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 9 12 17 0.6
+5 0 0 0 0 9 12 18 1.2
+5 0 0 0 0 9 12 19 1.8
+5 0 0 0 0 9 12 20 2.4
+5 0 0 0 0 9 12 21 3
+5 0 0 0 0 9 12 22 3.6
+5 0 0 0 0 9 12 23 4.2
+5 0 0 0 0 9 12 24 4.8
+5 0 0 0 0 9 12 25 5.4
+5 0 0 0 0 9 12 26 6
+5 0 0 0 0 9 12 27 6.6
+5 0 0 0 0 9 12 28 7.2
+5 0 0 0 0 9 12 29 7.8
+5 0 0 0 0 9 12 30 8.4
+5 0 0 0 0 9 12 31 9
+5 0 0 0 0 9 12 32 9.6
+5 0 0 0 0 9 12 33 10.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 9.6
+6 0 0 0 0 9 12 1 9
+6 0 0 0 0 9 12 2 8.4
+6 0 0 0 0 9 12 3 7.8
+6 0 0 0 0 9 12 4 7.2
+6 0 0 0 0 9 12 5 6.6
+6 0 0 0 0 9 12 6 6
+6 0 0 0 0 9 12 7 5.4
+6 0 0 0 0 9 12 8 4.8
+6 0 0 0 0 9 12 9 4.2
+6 0 0 0 0 9 12 10 3.6
+6 0 0 0 0 9 12 11 3
+6 0 0 0 0 9 12 12 2.4
+6 0 0 0 0 9 12 13 1.8
+6 0 0 0 0 9 12 14 1.2
+6 0 0 0 0 9 12 15 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 9 12 17 0.6
+6 0 0 0 0 9 12 18 1.2
+6 0 0 0 0 9 12 19 1.8
+6 0 0 0 0 9 12 20 2.4
+6 0 0 0 0 9 12 21 3
+6 0 0 0 0 9 12 22 3.6
+6 0 0 0 0 9 12 23 4.2
+6 0 0 0 0 9 12 24 4.8
+6 0 0 0 0 9 12 25 5.4
+6 0 0 0 0 9 12 26 6
+6 0 0 0 0 9 12 27 6.6
+6 0 0 0 0 9 12 28 7.2
+6 0 0 0 0 9 12 29 7.8
+6 0 0 0 0 9 12 30 8.4
+6 0 0 0 0 9 12 31 9
+6 0 0 0 0 9 12 32 9.6
+6 0 0 0 0 9 12 33 10.2
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.xl
new file mode 100644
index 000000000..9b6c76b91
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.xl
@@ -0,0 +1,170 @@
+# HYDROTOY::u x (u)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.80901699437495
+0 0 0 0 0 1 12 16 -0.978147600733806
+0 0 0 0 0 2 12 16 -0.978147600733805
+0 0 0 0 0 3 12 16 -0.809016994374946
+0 0 0 0 0 4 12 16 -0.499999999999998
+0 0 0 0 0 5 12 16 -0.104528463267652
+0 0 0 0 0 6 12 16 0.309016994374949
+0 0 0 0 0 7 12 16 0.669130606358859
+0 0 0 0 0 8 12 16 0.913545457642601
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 10 12 16 0.913545457642601
+0 0 0 0 0 11 12 16 0.669130606358859
+0 0 0 0 0 12 12 16 0.309016994374949
+0 0 0 0 0 13 12 16 -0.104528463267652
+0 0 0 0 0 14 12 16 -0.499999999999998
+0 0 0 0 0 15 12 16 -0.809016994374946
+0 0 0 0 0 16 12 16 -0.978147600733805
+0 0 0 0 0 17 12 16 -0.978147600733806
+0 0 0 0 0 18 12 16 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.955765485796519
+1 0 0 0 0 1 12 16 -0.994570500607911
+1 0 0 0 0 2 12 16 -0.861405240474848
+1 0 0 0 0 3 12 16 -0.579295188642749
+1 0 0 0 0 4 12 16 -0.197019735962746
+1 0 0 0 0 5 12 16 0.219322218933327
+1 0 0 0 0 6 12 16 0.597741369696019
+1 0 0 0 0 7 12 16 0.872805607328403
+1 0 0 0 0 8 12 16 0.99695382626369
+1 0 0 0 0 9 12 16 0.948719671596806
+1 0 0 0 0 10 12 16 0.736443266863195
+1 0 0 0 0 11 12 16 0.396829130911893
+1 0 0 0 0 12 12 16 -0.0114003668535526
+1 0 0 0 0 13 12 16 -0.417658637620938
+1 0 0 0 0 14 12 16 -0.751699935634057
+1 0 0 0 0 15 12 16 -0.955765485796519
+1 0 0 0 0 16 12 16 -0.994570500607911
+1 0 0 0 0 17 12 16 -0.861405240474848
+1 0 0 0 0 18 12 16 -0.579295188642749
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -1.00236259183865
+2 0 0 0 0 1 12 16 -0.906417389262528
+2 0 0 0 0 2 12 16 -0.653744385539442
+2 0 0 0 0 3 12 16 -0.288033038475295
+2 0 0 0 0 4 12 16 0.127481837639237
+2 0 0 0 0 5 12 16 0.520953945889808
+2 0 0 0 0 6 12 16 0.824348384178011
+2 0 0 0 0 7 12 16 0.985205497871871
+2 0 0 0 0 8 12 16 0.975711630672718
+2 0 0 0 0 9 12 16 0.797508358468364
+2 0 0 0 0 10 12 16 0.481408645948843
+2 0 0 0 0 11 12 16 0.0820690050845183
+2 0 0 0 0 12 12 16 -0.331461112332425
+2 0 0 0 0 13 12 16 -0.68767859219742
+2 0 0 0 0 14 12 16 -0.924990196107598
+2 0 0 0 0 15 12 16 -1.00236259183865
+2 0 0 0 0 16 12 16 -0.906417389262528
+2 0 0 0 0 17 12 16 -0.653744385539442
+2 0 0 0 0 18 12 16 -0.288033038475295
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.94364338228954
+3 0 0 0 0 1 12 16 -0.722686120855475
+3 0 0 0 0 2 12 16 -0.376769863728199
+3 0 0 0 0 3 12 16 0.0342933256844357
+3 0 0 0 0 4 12 16 0.439426887541149
+3 0 0 0 0 5 12 16 0.768579548474049
+3 0 0 0 0 6 12 16 0.964837823149789
+3 0 0 0 0 7 12 16 0.994266872926481
+3 0 0 0 0 8 12 16 0.851778147743211
+3 0 0 0 0 9 12 16 0.562009242653596
+3 0 0 0 0 10 12 16 0.175063833815491
+3 0 0 0 0 11 12 16 -0.242151702294314
+3 0 0 0 0 12 12 16 -0.617497009198279
+3 0 0 0 0 13 12 16 -0.886071473427644
+3 0 0 0 0 14 12 16 -1.00143613019474
+3 0 0 0 0 15 12 16 -0.94364338228954
+3 0 0 0 0 16 12 16 -0.722686120855475
+3 0 0 0 0 17 12 16 -0.376769863728199
+3 0 0 0 0 18 12 16 0.0342933256844357
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.785507602738876
+4 0 0 0 0 1 12 16 -0.462452108726221
+4 0 0 0 0 2 12 16 -0.0594344438692843
+4 0 0 0 0 3 12 16 0.35385997627762
+4 0 0 0 0 4 12 16 0.705968791809162
+4 0 0 0 0 5 12 16 0.936009189711769
+4 0 0 0 0 6 12 16 1.00420509533667
+4 0 0 0 0 7 12 16 0.89876481706098
+4 0 0 0 0 8 12 16 0.637919936893408
+4 0 0 0 0 9 12 16 0.266772904316276
+4 0 0 0 0 10 12 16 -0.150501586972893
+4 0 0 0 0 11 12 16 -0.541752986610453
+4 0 0 0 0 12 12 16 -0.839330373191693
+4 0 0 0 0 13 12 16 -0.991779913171026
+4 0 0 0 0 14 12 16 -0.972741696125436
+4 0 0 0 0 15 12 16 -0.785507602738876
+4 0 0 0 0 16 12 16 -0.462452108726221
+4 0 0 0 0 17 12 16 -0.0594344438692843
+4 0 0 0 0 18 12 16 0.35385997627762
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.544328174867942
+5 0 0 0 0 1 12 16 -0.152888277069066
+5 0 0 0 0 2 12 16 0.264987392781447
+5 0 0 0 0 3 12 16 0.637044335085157
+5 0 0 0 0 4 12 16 0.898950524486546
+5 0 0 0 0 5 12 16 1.00542000149508
+5 0 0 0 0 6 12 16 0.938043226291145
+5 0 0 0 0 7 12 16 0.708470255406295
+5 0 0 0 0 8 12 16 0.356396341111483
+5 0 0 0 0 9 12 16 -0.0573017383206181
+5 0 0 0 0 10 12 16 -0.461091826627135
+5 0 0 0 0 11 12 16 -0.785154949222079
+5 0 0 0 0 12 12 16 -0.97345764818774
+5 0 0 0 0 13 12 16 -0.993440676196639
+5 0 0 0 0 14 12 16 -0.841648786165927
+5 0 0 0 0 15 12 16 -0.544328174867942
+5 0 0 0 0 16 12 16 -0.152888277069066
+5 0 0 0 0 17 12 16 0.264987392781447
+5 0 0 0 0 18 12 16 0.637044335085157
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.245256464451885
+6 0 0 0 0 1 12 16 0.173571974101471
+6 0 0 0 0 2 12 16 0.562388241480802
+6 0 0 0 0 3 12 16 0.853962472771321
+6 0 0 0 0 4 12 16 0.997878834514167
+6 0 0 0 0 5 12 16 0.969252880324897
+6 0 0 0 0 6 12 16 0.773034297741468
+6 0 0 0 0 7 12 16 0.443151062282416
+6 0 0 0 0 8 12 16 0.0366429822537203
+6 0 0 0 0 9 12 16 -0.376201002297687
+6 0 0 0 0 10 12 16 -0.723996415873011
+6 0 0 0 0 11 12 16 -0.946606271842939
+6 0 0 0 0 12 12 16 -1.00553930376322
+6 0 0 0 0 13 12 16 -0.890605455025042
+6 0 0 0 0 14 12 16 -0.621677832216481
+6 0 0 0 0 15 12 16 -0.245256464451885
+6 0 0 0 0 16 12 16 0.173571974101471
+6 0 0 0 0 17 12 16 0.562388241480802
+6 0 0 0 0 18 12 16 0.853962472771321
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.yl
new file mode 100644
index 000000000..50f79e875
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.yl
@@ -0,0 +1,219 @@
+# HYDROTOY::u y (u)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.959492973614494
+0 0 0 0 0 9 1 16 -1
+0 0 0 0 0 9 2 16 -0.9594929736145
+0 0 0 0 0 9 3 16 -0.841253532831185
+0 0 0 0 0 9 4 16 -0.65486073394529
+0 0 0 0 0 9 5 16 -0.415415013001892
+0 0 0 0 0 9 6 16 -0.14231483827329
+0 0 0 0 0 9 7 16 0.142314838273281
+0 0 0 0 0 9 8 16 0.415415013001883
+0 0 0 0 0 9 9 16 0.654860733945283
+0 0 0 0 0 9 10 16 0.84125353283118
+0 0 0 0 0 9 11 16 0.959492973614497
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 9 13 16 0.959492973614497
+0 0 0 0 0 9 14 16 0.84125353283118
+0 0 0 0 0 9 15 16 0.654860733945283
+0 0 0 0 0 9 16 16 0.415415013001883
+0 0 0 0 0 9 17 16 0.142314838273281
+0 0 0 0 0 9 18 16 -0.142314838273291
+0 0 0 0 0 9 19 16 -0.415415013001892
+0 0 0 0 0 9 20 16 -0.65486073394529
+0 0 0 0 0 9 21 16 -0.841253532831186
+0 0 0 0 0 9 22 16 -0.9594929736145
+0 0 0 0 0 9 23 16 -1
+0 0 0 0 0 9 24 16 -0.959492973614494
+0 0 0 0 0 9 25 16 -0.841253532831175
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -1.00051323460778
+1 0 0 0 0 9 1 16 -0.948719671596804
+1 0 0 0 0 9 2 16 -0.820066483046201
+1 0 0 0 0 9 3 16 -0.624976385162354
+1 0 0 0 0 9 4 16 -0.379254417430333
+1 0 0 0 0 9 5 16 -0.102807512310972
+1 0 0 0 0 9 6 16 0.181968246036004
+1 0 0 0 0 9 7 16 0.452002019295973
+1 0 0 0 0 9 8 16 0.685417277112096
+1 0 0 0 0 9 9 16 0.863304103470101
+1 0 0 0 0 9 10 16 0.971251165632154
+1 0 0 0 0 9 11 16 1.00051323460778
+1 0 0 0 0 9 12 16 0.948719671596806
+1 0 0 0 0 9 13 16 0.820066483046195
+1 0 0 0 0 9 14 16 0.624976385162347
+1 0 0 0 0 9 15 16 0.379254417430324
+1 0 0 0 0 9 16 16 0.102807512310963
+1 0 0 0 0 9 17 16 -0.181968246036014
+1 0 0 0 0 9 18 16 -0.452002019295981
+1 0 0 0 0 9 19 16 -0.685417277112103
+1 0 0 0 0 9 20 16 -0.863304103470106
+1 0 0 0 0 9 21 16 -0.971251165632156
+1 0 0 0 0 9 22 16 -1.00051323460778
+1 0 0 0 0 9 23 16 -0.948719671596804
+1 0 0 0 0 9 24 16 -0.820066483046201
+1 0 0 0 0 9 25 16 -0.624976385162354
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -0.936397049231443
+2 0 0 0 0 9 1 16 -0.79750835846836
+2 0 0 0 0 9 2 16 -0.594010283467016
+2 0 0 0 0 9 3 16 -0.342389028014344
+2 0 0 0 0 9 4 16 -0.0630294497779055
+2 0 0 0 0 9 5 16 0.221436399628968
+2 0 0 0 0 9 6 16 0.487962788870879
+2 0 0 0 0 9 7 16 0.714957334984917
+2 0 0 0 0 9 8 16 0.884030289833469
+2 0 0 0 0 9 9 16 0.981484368130286
+2 0 0 0 0 9 10 16 0.999424420033478
+2 0 0 0 0 9 11 16 0.936397049231446
+2 0 0 0 0 9 12 16 0.797508358468364
+2 0 0 0 0 9 13 16 0.594010283467008
+2 0 0 0 0 9 14 16 0.342389028014335
+2 0 0 0 0 9 15 16 0.0630294497778957
+2 0 0 0 0 9 16 16 -0.221436399628977
+2 0 0 0 0 9 17 16 -0.487962788870887
+2 0 0 0 0 9 18 16 -0.714957334984924
+2 0 0 0 0 9 19 16 -0.884030289833474
+2 0 0 0 0 9 20 16 -0.981484368130287
+2 0 0 0 0 9 21 16 -0.999424420033477
+2 0 0 0 0 9 22 16 -0.936397049231443
+2 0 0 0 0 9 23 16 -0.79750835846836
+2 0 0 0 0 9 24 16 -0.594010283467016
+2 0 0 0 0 9 25 16 -0.342389028014344
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -0.773612345734507
+3 0 0 0 0 9 1 16 -0.562009242653593
+3 0 0 0 0 9 2 16 -0.30487549313056
+3 0 0 0 0 9 3 16 -0.0230425443184478
+3 0 0 0 0 9 4 16 0.260657174395054
+3 0 0 0 0 9 5 16 0.523239999026976
+3 0 0 0 0 9 6 16 0.743433030765824
+3 0 0 0 0 9 7 16 0.903397539718502
+3 0 0 0 0 9 8 16 0.990174152715228
+3 0 0 0 0 9 9 16 0.996732744651397
+3 0 0 0 0 9 10 16 0.922541977413788
+3 0 0 0 0 9 11 16 0.773612345734511
+3 0 0 0 0 9 12 16 0.562009242653596
+3 0 0 0 0 9 13 16 0.30487549313055
+3 0 0 0 0 9 14 16 0.0230425443184395
+3 0 0 0 0 9 15 16 -0.260657174395064
+3 0 0 0 0 9 16 16 -0.523239999026984
+3 0 0 0 0 9 17 16 -0.743433030765831
+3 0 0 0 0 9 18 16 -0.903397539718506
+3 0 0 0 0 9 19 16 -0.99017415271523
+3 0 0 0 0 9 20 16 -0.996732744651396
+3 0 0 0 0 9 21 16 -0.922541977413785
+3 0 0 0 0 9 22 16 -0.773612345734507
+3 0 0 0 0 9 23 16 -0.562009242653593
+3 0 0 0 0 9 24 16 -0.30487549313056
+3 0 0 0 0 9 25 16 -0.0230425443184478
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -0.529023034768285
+4 0 0 0 0 9 1 16 -0.266772904316274
+4 0 0 0 0 9 2 16 0.0170895802838814
+4 0 0 0 0 9 3 16 0.299567568725097
+4 0 0 0 0 9 4 16 0.55777637434513
+4 0 0 0 0 9 5 16 0.77079745533955
+4 0 0 0 0 9 6 16 0.921373110611335
+4 0 0 0 0 9 7 16 0.997304596078268
+4 0 0 0 0 9 8 16 0.992440394369748
+4 0 0 0 0 9 9 16 0.907174574179681
+4 0 0 0 0 9 10 16 0.748414865164506
+4 0 0 0 0 9 11 16 0.529023034768289
+4 0 0 0 0 9 12 16 0.266772904316276
+4 0 0 0 0 9 13 16 -0.0170895802838905
+4 0 0 0 0 9 14 16 -0.299567568725103
+4 0 0 0 0 9 15 16 -0.557776374345138
+4 0 0 0 0 9 16 16 -0.770797455339557
+4 0 0 0 0 9 17 16 -0.921373110611339
+4 0 0 0 0 9 18 16 -0.997304596078268
+4 0 0 0 0 9 19 16 -0.992440394369747
+4 0 0 0 0 9 20 16 -0.907174574179677
+4 0 0 0 0 9 21 16 -0.7484148651645
+4 0 0 0 0 9 22 16 -0.529023034768285
+4 0 0 0 0 9 23 16 -0.266772904316274
+4 0 0 0 0 9 24 16 0.0170895802838814
+4 0 0 0 0 9 25 16 0.299567568725097
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -0.228142427103317
+5 0 0 0 0 9 1 16 0.0573017383206182
+5 0 0 0 0 9 2 16 0.338103657692372
+5 0 0 0 0 9 3 16 0.591514429497776
+5 0 0 0 0 9 4 16 0.797004220097029
+5 0 0 0 0 9 5 16 0.937925468750632
+5 0 0 0 0 9 6 16 1.0028615739836
+5 0 0 0 0 9 7 16 0.986551798739849
+5 0 0 0 0 9 8 16 0.890317464011655
+5 0 0 0 0 9 9 16 0.721954903271074
+5 0 0 0 0 9 10 16 0.495103849898604
+5 0 0 0 0 9 11 16 0.22814242710332
+5 0 0 0 0 9 12 16 -0.0573017383206181
+5 0 0 0 0 9 13 16 -0.338103657692379
+5 0 0 0 0 9 14 16 -0.591514429497779
+5 0 0 0 0 9 15 16 -0.797004220097035
+5 0 0 0 0 9 16 16 -0.937925468750636
+5 0 0 0 0 9 17 16 -1.0028615739836
+5 0 0 0 0 9 18 16 -0.986551798739846
+5 0 0 0 0 9 19 16 -0.890317464011651
+5 0 0 0 0 9 20 16 -0.721954903271068
+5 0 0 0 0 9 21 16 -0.495103849898596
+5 0 0 0 0 9 22 16 -0.228142427103317
+5 0 0 0 0 9 23 16 0.0573017383206182
+5 0 0 0 0 9 24 16 0.338103657692372
+5 0 0 0 0 9 25 16 0.591514429497776
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0.0975277748355794
+6 0 0 0 0 9 1 16 0.376201002297685
+6 0 0 0 0 9 2 16 0.624396661907141
+6 0 0 0 0 9 3 16 0.822007417398816
+6 0 0 0 0 9 4 16 0.953024020599179
+6 0 0 0 0 9 5 16 1.00683228550269
+6 0 0 0 0 9 6 16 0.979072986496933
+6 0 0 0 0 9 7 16 0.871995016896448
+6 0 0 0 0 9 8 16 0.69427319698106
+6 0 0 0 0 9 9 16 0.460305491647954
+6 0 0 0 0 9 10 16 0.189046572923696
+6 0 0 0 0 9 11 16 -0.0975277748355793
+6 0 0 0 0 9 12 16 -0.376201002297687
+6 0 0 0 0 9 13 16 -0.624396661907144
+6 0 0 0 0 9 14 16 -0.822007417398816
+6 0 0 0 0 9 15 16 -0.953024020599182
+6 0 0 0 0 9 16 16 -1.00683228550269
+6 0 0 0 0 9 17 16 -0.979072986496931
+6 0 0 0 0 9 18 16 -0.871995016896444
+6 0 0 0 0 9 19 16 -0.694273196981054
+6 0 0 0 0 9 20 16 -0.460305491647947
+6 0 0 0 0 9 21 16 -0.189046572923689
+6 0 0 0 0 9 22 16 0.0975277748355794
+6 0 0 0 0 9 23 16 0.376201002297685
+6 0 0 0 0 9 24 16 0.624396661907141
+6 0 0 0 0 9 25 16 0.822007417398816
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.zl
new file mode 100644
index 000000000..57a1edbb4
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.zl
@@ -0,0 +1,275 @@
+# HYDROTOY::u z (u)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.913545457642604
+0 0 0 0 0 9 12 1 1
+0 0 0 0 0 9 12 2 0.913545457642598
+0 0 0 0 0 9 12 3 0.669130606358854
+0 0 0 0 0 9 12 4 0.309016994374941
+0 0 0 0 0 9 12 5 -0.104528463267659
+0 0 0 0 0 9 12 6 -0.500000000000004
+0 0 0 0 0 9 12 7 -0.80901699437495
+0 0 0 0 0 9 12 8 -0.978147600733806
+0 0 0 0 0 9 12 9 -0.978147600733805
+0 0 0 0 0 9 12 10 -0.809016994374946
+0 0 0 0 0 9 12 11 -0.499999999999998
+0 0 0 0 0 9 12 12 -0.104528463267652
+0 0 0 0 0 9 12 13 0.309016994374949
+0 0 0 0 0 9 12 14 0.669130606358859
+0 0 0 0 0 9 12 15 0.913545457642601
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 9 12 17 0.913545457642601
+0 0 0 0 0 9 12 18 0.669130606358859
+0 0 0 0 0 9 12 19 0.309016994374949
+0 0 0 0 0 9 12 20 -0.104528463267652
+0 0 0 0 0 9 12 21 -0.499999999999998
+0 0 0 0 0 9 12 22 -0.809016994374946
+0 0 0 0 0 9 12 23 -0.978147600733805
+0 0 0 0 0 9 12 24 -0.978147600733806
+0 0 0 0 0 9 12 25 -0.80901699437495
+0 0 0 0 0 9 12 26 -0.500000000000004
+0 0 0 0 0 9 12 27 -0.104528463267659
+0 0 0 0 0 9 12 28 0.309016994374942
+0 0 0 0 0 9 12 29 0.669130606358854
+0 0 0 0 0 9 12 30 0.913545457642598
+0 0 0 0 0 9 12 31 1
+0 0 0 0 0 9 12 32 0.913545457642604
+0 0 0 0 0 9 12 33 0.669130606358864
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 0.996953826263689
+1 0 0 0 0 9 12 1 0.948719671596808
+1 0 0 0 0 9 12 2 0.73644326686319
+1 0 0 0 0 9 12 3 0.396829130911887
+1 0 0 0 0 9 12 4 -0.0114003668535601
+1 0 0 0 0 9 12 5 -0.417658637620944
+1 0 0 0 0 9 12 6 -0.751699935634062
+1 0 0 0 0 9 12 7 -0.955765485796521
+1 0 0 0 0 9 12 8 -0.99457050060791
+1 0 0 0 0 9 12 9 -0.861405240474847
+1 0 0 0 0 9 12 10 -0.579295188642748
+1 0 0 0 0 9 12 11 -0.197019735962745
+1 0 0 0 0 9 12 12 0.219322218933327
+1 0 0 0 0 9 12 13 0.597741369696019
+1 0 0 0 0 9 12 14 0.872805607328403
+1 0 0 0 0 9 12 15 0.99695382626369
+1 0 0 0 0 9 12 16 0.948719671596806
+1 0 0 0 0 9 12 17 0.736443266863195
+1 0 0 0 0 9 12 18 0.396829130911893
+1 0 0 0 0 9 12 19 -0.0114003668535524
+1 0 0 0 0 9 12 20 -0.417658637620938
+1 0 0 0 0 9 12 21 -0.751699935634057
+1 0 0 0 0 9 12 22 -0.955765485796519
+1 0 0 0 0 9 12 23 -0.994570500607911
+1 0 0 0 0 9 12 24 -0.861405240474851
+1 0 0 0 0 9 12 25 -0.579295188642754
+1 0 0 0 0 9 12 26 -0.197019735962752
+1 0 0 0 0 9 12 27 0.21932221893332
+1 0 0 0 0 9 12 28 0.597741369696014
+1 0 0 0 0 9 12 29 0.8728056073284
+1 0 0 0 0 9 12 30 0.996953826263689
+1 0 0 0 0 9 12 31 0.948719671596808
+1 0 0 0 0 9 12 32 0.73644326686319
+1 0 0 0 0 9 12 33 0.396829130911887
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 0.97571163067272
+2 0 0 0 0 9 12 1 0.797508358468365
+2 0 0 0 0 9 12 2 0.481408645948837
+2 0 0 0 0 9 12 3 0.0820690050845114
+2 0 0 0 0 9 12 4 -0.331461112332432
+2 0 0 0 0 9 12 5 -0.687678592197425
+2 0 0 0 0 9 12 6 -0.924990196107601
+2 0 0 0 0 9 12 7 -1.00236259183865
+2 0 0 0 0 9 12 8 -0.906417389262526
+2 0 0 0 0 9 12 9 -0.653744385539442
+2 0 0 0 0 9 12 10 -0.288033038475295
+2 0 0 0 0 9 12 11 0.127481837639237
+2 0 0 0 0 9 12 12 0.520953945889809
+2 0 0 0 0 9 12 13 0.824348384178011
+2 0 0 0 0 9 12 14 0.985205497871871
+2 0 0 0 0 9 12 15 0.975711630672718
+2 0 0 0 0 9 12 16 0.797508358468364
+2 0 0 0 0 9 12 17 0.481408645948843
+2 0 0 0 0 9 12 18 0.0820690050845184
+2 0 0 0 0 9 12 19 -0.331461112332425
+2 0 0 0 0 9 12 20 -0.68767859219742
+2 0 0 0 0 9 12 21 -0.924990196107598
+2 0 0 0 0 9 12 22 -1.00236259183865
+2 0 0 0 0 9 12 23 -0.906417389262529
+2 0 0 0 0 9 12 24 -0.653744385539447
+2 0 0 0 0 9 12 25 -0.288033038475302
+2 0 0 0 0 9 12 26 0.12748183763923
+2 0 0 0 0 9 12 27 0.520953945889802
+2 0 0 0 0 9 12 28 0.824348384178007
+2 0 0 0 0 9 12 29 0.985205497871869
+2 0 0 0 0 9 12 30 0.97571163067272
+2 0 0 0 0 9 12 31 0.797508358468365
+2 0 0 0 0 9 12 32 0.481408645948837
+2 0 0 0 0 9 12 33 0.0820690050845114
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 0.851778147743213
+3 0 0 0 0 9 12 1 0.562009242653597
+3 0 0 0 0 9 12 2 0.175063833815484
+3 0 0 0 0 9 12 3 -0.24215170229432
+3 0 0 0 0 9 12 4 -0.617497009198284
+3 0 0 0 0 9 12 5 -0.886071473427647
+3 0 0 0 0 9 12 6 -1.00143613019474
+3 0 0 0 0 9 12 7 -0.943643382289538
+3 0 0 0 0 9 12 8 -0.722686120855472
+3 0 0 0 0 9 12 9 -0.376769863728199
+3 0 0 0 0 9 12 10 0.0342933256844365
+3 0 0 0 0 9 12 11 0.439426887541149
+3 0 0 0 0 9 12 12 0.76857954847405
+3 0 0 0 0 9 12 13 0.964837823149789
+3 0 0 0 0 9 12 14 0.994266872926481
+3 0 0 0 0 9 12 15 0.851778147743211
+3 0 0 0 0 9 12 16 0.562009242653596
+3 0 0 0 0 9 12 17 0.175063833815491
+3 0 0 0 0 9 12 18 -0.242151702294313
+3 0 0 0 0 9 12 19 -0.617497009198278
+3 0 0 0 0 9 12 20 -0.886071473427644
+3 0 0 0 0 9 12 21 -1.00143613019474
+3 0 0 0 0 9 12 22 -0.94364338228954
+3 0 0 0 0 9 12 23 -0.722686120855477
+3 0 0 0 0 9 12 24 -0.376769863728206
+3 0 0 0 0 9 12 25 0.034293325684429
+3 0 0 0 0 9 12 26 0.439426887541143
+3 0 0 0 0 9 12 27 0.768579548474045
+3 0 0 0 0 9 12 28 0.964837823149787
+3 0 0 0 0 9 12 29 0.994266872926482
+3 0 0 0 0 9 12 30 0.851778147743213
+3 0 0 0 0 9 12 31 0.562009242653597
+3 0 0 0 0 9 12 32 0.175063833815484
+3 0 0 0 0 9 12 33 -0.24215170229432
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 0.63791993689341
+4 0 0 0 0 9 12 1 0.266772904316275
+4 0 0 0 0 9 12 2 -0.1505015869729
+4 0 0 0 0 9 12 3 -0.541752986610458
+4 0 0 0 0 9 12 4 -0.839330373191696
+4 0 0 0 0 9 12 5 -0.991779913171028
+4 0 0 0 0 9 12 6 -0.972741696125435
+4 0 0 0 0 9 12 7 -0.785507602738873
+4 0 0 0 0 9 12 8 -0.462452108726218
+4 0 0 0 0 9 12 9 -0.0594344438692841
+4 0 0 0 0 9 12 10 0.353859976277621
+4 0 0 0 0 9 12 11 0.705968791809162
+4 0 0 0 0 9 12 12 0.936009189711769
+4 0 0 0 0 9 12 13 1.00420509533667
+4 0 0 0 0 9 12 14 0.89876481706098
+4 0 0 0 0 9 12 15 0.637919936893408
+4 0 0 0 0 9 12 16 0.266772904316276
+4 0 0 0 0 9 12 17 -0.150501586972892
+4 0 0 0 0 9 12 18 -0.541752986610453
+4 0 0 0 0 9 12 19 -0.839330373191692
+4 0 0 0 0 9 12 20 -0.991779913171026
+4 0 0 0 0 9 12 21 -0.972741696125436
+4 0 0 0 0 9 12 22 -0.785507602738877
+4 0 0 0 0 9 12 23 -0.462452108726224
+4 0 0 0 0 9 12 24 -0.0594344438692912
+4 0 0 0 0 9 12 25 0.353859976277614
+4 0 0 0 0 9 12 26 0.705968791809157
+4 0 0 0 0 9 12 27 0.936009189711766
+4 0 0 0 0 9 12 28 1.00420509533667
+4 0 0 0 0 9 12 29 0.898764817060982
+4 0 0 0 0 9 12 30 0.63791993689341
+4 0 0 0 0 9 12 31 0.266772904316275
+4 0 0 0 0 9 12 32 -0.1505015869729
+4 0 0 0 0 9 12 33 -0.541752986610458
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 0.356396341111483
+5 0 0 0 0 9 12 1 -0.0573017383206205
+5 0 0 0 0 9 12 2 -0.461091826627141
+5 0 0 0 0 9 12 3 -0.785154949222081
+5 0 0 0 0 9 12 4 -0.973457648187742
+5 0 0 0 0 9 12 5 -0.993440676196638
+5 0 0 0 0 9 12 6 -0.841648786165924
+5 0 0 0 0 9 12 7 -0.544328174867939
+5 0 0 0 0 9 12 8 -0.152888277069062
+5 0 0 0 0 9 12 9 0.264987392781448
+5 0 0 0 0 9 12 10 0.637044335085158
+5 0 0 0 0 9 12 11 0.898950524486546
+5 0 0 0 0 9 12 12 1.00542000149508
+5 0 0 0 0 9 12 13 0.938043226291145
+5 0 0 0 0 9 12 14 0.708470255406295
+5 0 0 0 0 9 12 15 0.356396341111483
+5 0 0 0 0 9 12 16 -0.0573017383206181
+5 0 0 0 0 9 12 17 -0.461091826627135
+5 0 0 0 0 9 12 18 -0.785154949222079
+5 0 0 0 0 9 12 19 -0.97345764818774
+5 0 0 0 0 9 12 20 -0.993440676196639
+5 0 0 0 0 9 12 21 -0.841648786165928
+5 0 0 0 0 9 12 22 -0.544328174867945
+5 0 0 0 0 9 12 23 -0.15288827706907
+5 0 0 0 0 9 12 24 0.264987392781441
+5 0 0 0 0 9 12 25 0.637044335085152
+5 0 0 0 0 9 12 26 0.898950524486543
+5 0 0 0 0 9 12 27 1.00542000149508
+5 0 0 0 0 9 12 28 0.938043226291147
+5 0 0 0 0 9 12 29 0.708470255406299
+5 0 0 0 0 9 12 30 0.356396341111483
+5 0 0 0 0 9 12 31 -0.0573017383206205
+5 0 0 0 0 9 12 32 -0.461091826627141
+5 0 0 0 0 9 12 33 -0.785154949222081
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 0.036642982253719
+6 0 0 0 0 9 12 1 -0.37620100229769
+6 0 0 0 0 9 12 2 -0.723996415873014
+6 0 0 0 0 9 12 3 -0.946606271842938
+6 0 0 0 0 9 12 4 -1.00553930376322
+6 0 0 0 0 9 12 5 -0.890605455025039
+6 0 0 0 0 9 12 6 -0.621677832216476
+6 0 0 0 0 9 12 7 -0.245256464451882
+6 0 0 0 0 9 12 8 0.173571974101474
+6 0 0 0 0 9 12 9 0.562388241480803
+6 0 0 0 0 9 12 10 0.853962472771322
+6 0 0 0 0 9 12 11 0.997878834514167
+6 0 0 0 0 9 12 12 0.969252880324898
+6 0 0 0 0 9 12 13 0.773034297741468
+6 0 0 0 0 9 12 14 0.443151062282416
+6 0 0 0 0 9 12 15 0.0366429822537202
+6 0 0 0 0 9 12 16 -0.376201002297687
+6 0 0 0 0 9 12 17 -0.723996415873011
+6 0 0 0 0 9 12 18 -0.946606271842939
+6 0 0 0 0 9 12 19 -1.00553930376322
+6 0 0 0 0 9 12 20 -0.890605455025042
+6 0 0 0 0 9 12 21 -0.621677832216482
+6 0 0 0 0 9 12 22 -0.245256464451889
+6 0 0 0 0 9 12 23 0.173571974101467
+6 0 0 0 0 9 12 24 0.562388241480797
+6 0 0 0 0 9 12 25 0.853962472771319
+6 0 0 0 0 9 12 26 0.997878834514166
+6 0 0 0 0 9 12 27 0.969252880324899
+6 0 0 0 0 9 12 28 0.773034297741472
+6 0 0 0 0 9 12 29 0.44315106228242
+6 0 0 0 0 9 12 30 0.036642982253719
+6 0 0 0 0 9 12 31 -0.37620100229769
+6 0 0 0 0 9 12 32 -0.723996415873014
+6 0 0 0 0 9 12 33 -0.946606271842938
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.xl
new file mode 100644
index 000000000..dc98ae343
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.xl
@@ -0,0 +1,170 @@
+# HYDROTOY::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.515299953858482
+0 0 0 0 0 1 12 16 -0.62302697845592
+0 0 0 0 0 2 12 16 -0.62302697845592
+0 0 0 0 0 3 12 16 -0.51529995385848
+0 0 0 0 0 4 12 16 -0.318472885885792
+0 0 0 0 0 5 12 16 -0.0665789627081124
+0 0 0 0 0 6 12 16 0.196827067972688
+0 0 0 0 0 7 12 16 0.426199910483233
+0 0 0 0 0 8 12 16 0.581878916566594
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 10 12 16 0.581878916566594
+0 0 0 0 0 11 12 16 0.426199910483233
+0 0 0 0 0 12 12 16 0.196827067972688
+0 0 0 0 0 13 12 16 -0.0665789627081126
+0 0 0 0 0 14 12 16 -0.318472885885792
+0 0 0 0 0 15 12 16 -0.51529995385848
+0 0 0 0 0 16 12 16 -0.62302697845592
+0 0 0 0 0 17 12 16 -0.62302697845592
+0 0 0 0 0 18 12 16 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.608492170320791
+1 0 0 0 0 1 12 16 -0.633457407715208
+1 0 0 0 0 2 12 16 -0.548892104535778
+1 0 0 0 0 3 12 16 -0.369418369953888
+1 0 0 0 0 4 12 16 -0.126068843146438
+1 0 0 0 0 5 12 16 0.139079131940516
+1 0 0 0 0 6 12 16 0.380179061620706
+1 0 0 0 0 7 12 16 0.555542577728329
+1 0 0 0 0 8 12 16 0.634847735200848
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 10 12 16 0.469413038380277
+1 0 0 0 0 11 12 16 0.253278346094503
+1 0 0 0 0 12 12 16 -0.00665047319254958
+1 0 0 0 0 13 12 16 -0.265429365246958
+1 0 0 0 0 14 12 16 -0.478313108700085
+1 0 0 0 0 15 12 16 -0.608492170320791
+1 0 0 0 0 16 12 16 -0.633457407715208
+1 0 0 0 0 17 12 16 -0.548892104535778
+1 0 0 0 0 18 12 16 -0.369418369953888
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -0.638086200378305
+2 0 0 0 0 1 12 16 -0.57748024821656
+2 0 0 0 0 2 12 16 -0.417022714894814
+2 0 0 0 0 3 12 16 -0.184458165635327
+2 0 0 0 0 4 12 16 0.0800008762123354
+2 0 0 0 0 5 12 16 0.330627039777741
+2 0 0 0 0 6 12 16 0.524084784513214
+2 0 0 0 0 7 12 16 0.626923508845556
+2 0 0 0 0 8 12 16 0.621361463077223
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 10 12 16 0.307459160600565
+2 0 0 0 0 11 12 16 0.0533954637033468
+2 0 0 0 0 12 12 16 -0.209900793950739
+2 0 0 0 0 13 12 16 -0.436903297441893
+2 0 0 0 0 14 12 16 -0.588361251663493
+2 0 0 0 0 15 12 16 -0.638086200378305
+2 0 0 0 0 16 12 16 -0.57748024821656
+2 0 0 0 0 17 12 16 -0.417022714894814
+2 0 0 0 0 18 12 16 -0.184458165635327
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.600801795900965
+3 0 0 0 0 1 12 16 -0.460809125595697
+3 0 0 0 0 2 12 16 -0.241138371155451
+3 0 0 0 0 3 12 16 0.0202273983308999
+3 0 0 0 0 4 12 16 0.278095666885694
+3 0 0 0 0 5 12 16 0.487878668216131
+3 0 0 0 0 6 12 16 0.613303015573443
+3 0 0 0 0 7 12 16 0.632681699855125
+3 0 0 0 0 8 12 16 0.542663970499055
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 10 12 16 0.112923127684834
+3 0 0 0 0 11 12 16 -0.152493889977744
+3 0 0 0 0 12 12 16 -0.391543328699671
+3 0 0 0 0 13 12 16 -0.562891368829953
+3 0 0 0 0 14 12 16 -0.636910377581988
+3 0 0 0 0 15 12 16 -0.600801795900965
+3 0 0 0 0 16 12 16 -0.460809125595697
+3 0 0 0 0 17 12 16 -0.241138371155451
+3 0 0 0 0 18 12 16 0.0202273983308999
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.50038504730599
+4 0 0 0 0 1 12 16 -0.295557108392468
+4 0 0 0 0 2 12 16 -0.0396246603858525
+4 0 0 0 0 3 12 16 0.223159251380213
+4 0 0 0 0 4 12 16 0.447356901244488
+4 0 0 0 0 5 12 16 0.594202478773731
+4 0 0 0 0 6 12 16 0.638305049562943
+4 0 0 0 0 7 12 16 0.572038878463393
+4 0 0 0 0 8 12 16 0.406861988467459
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 10 12 16 -0.0938174314677396
+4 0 0 0 0 11 12 16 -0.342747941170472
+4 0 0 0 0 12 12 16 -0.532414218077537
+4 0 0 0 0 13 12 16 -0.630021239847671
+4 0 0 0 0 14 12 16 -0.618691865684861
+4 0 0 0 0 15 12 16 -0.50038504730599
+4 0 0 0 0 16 12 16 -0.295557108392468
+4 0 0 0 0 17 12 16 -0.0396246603858525
+4 0 0 0 0 18 12 16 0.223159251380213
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.34723280804116
+5 0 0 0 0 1 12 16 -0.0989793588236481
+5 0 0 0 0 2 12 16 0.166388520733717
+5 0 0 0 0 3 12 16 0.402986313463963
+5 0 0 0 0 4 12 16 0.569904111580568
+5 0 0 0 0 5 12 16 0.638280311388575
+5 0 0 0 0 6 12 16 0.596292046762909
+5 0 0 0 0 7 12 16 0.451199470108754
+5 0 0 0 0 8 12 16 0.228090406054292
+5 0 0 0 0 9 12 16 -0.0344575613432429
+5 0 0 0 0 10 12 16 -0.291047503347414
+5 0 0 0 0 11 12 16 -0.497312687939257
+5 0 0 0 0 12 12 16 -0.617587990842467
+5 0 0 0 0 13 12 16 -0.631076719518255
+5 0 0 0 0 14 12 16 -0.535446550237324
+5 0 0 0 0 15 12 16 -0.34723280804116
+5 0 0 0 0 16 12 16 -0.0989793588236481
+5 0 0 0 0 17 12 16 0.166388520733717
+5 0 0 0 0 18 12 16 0.402986313463963
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.157316535477104
+6 0 0 0 0 1 12 16 0.108328421385471
+6 0 0 0 0 2 12 16 0.355242410057684
+6 0 0 0 0 3 12 16 0.540731758754941
+6 0 0 0 0 4 12 16 0.632723673969661
+6 0 0 0 0 5 12 16 0.615311917840902
+6 0 0 0 0 6 12 16 0.491507141184166
+6 0 0 0 0 7 12 16 0.282716314614489
+6 0 0 0 0 8 12 16 0.0250412688508799
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 10 12 16 -0.457995382363797
+6 0 0 0 0 11 12 16 -0.599835562569634
+6 0 0 0 0 12 12 16 -0.637958724672169
+6 0 0 0 0 13 12 16 -0.56577302760582
+6 0 0 0 0 14 12 16 -0.395760034179828
+6 0 0 0 0 15 12 16 -0.157316535477104
+6 0 0 0 0 16 12 16 0.108328421385471
+6 0 0 0 0 17 12 16 0.355242410057684
+6 0 0 0 0 18 12 16 0.540731758754941
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.yl
new file mode 100644
index 000000000..8dd2b03f5
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.yl
@@ -0,0 +1,219 @@
+# HYDROTOY::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.611144992588299
+0 0 0 0 0 9 1 16 -0.636945771771587
+0 0 0 0 0 9 2 16 -0.611144992588303
+0 0 0 0 0 9 3 16 -0.535832880724733
+0 0 0 0 0 9 4 16 -0.417110775585691
+0 0 0 0 0 9 5 16 -0.264596836061994
+0 0 0 0 0 9 6 16 -0.0906468344985295
+0 0 0 0 0 9 7 16 0.0906468344985235
+0 0 0 0 0 9 8 16 0.264596836061988
+0 0 0 0 0 9 9 16 0.417110775585686
+0 0 0 0 0 9 10 16 0.53583288072473
+0 0 0 0 0 9 11 16 0.611144992588301
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 9 13 16 0.611144992588301
+0 0 0 0 0 9 14 16 0.53583288072473
+0 0 0 0 0 9 15 16 0.417110775585686
+0 0 0 0 0 9 16 16 0.264596836061988
+0 0 0 0 0 9 17 16 0.0906468344985234
+0 0 0 0 0 9 18 16 -0.0906468344985296
+0 0 0 0 0 9 19 16 -0.264596836061994
+0 0 0 0 0 9 20 16 -0.417110775585691
+0 0 0 0 0 9 21 16 -0.535832880724734
+0 0 0 0 0 9 22 16 -0.611144992588303
+0 0 0 0 0 9 23 16 -0.636945771771587
+0 0 0 0 0 9 24 16 -0.611144992588299
+0 0 0 0 0 9 25 16 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -0.637195713383579
+1 0 0 0 0 9 1 16 -0.604381951846523
+1 0 0 0 0 9 2 16 -0.522604758968737
+1 0 0 0 0 9 3 16 -0.398489236569475
+1 0 0 0 0 9 4 16 -0.242090486130096
+1 0 0 0 0 9 5 16 -0.0660790042720144
+1 0 0 0 0 9 6 16 0.115285805525215
+1 0 0 0 0 9 7 16 0.287310844989877
+1 0 0 0 0 9 8 16 0.436059668496847
+1 0 0 0 0 9 9 16 0.549481531008906
+1 0 0 0 0 9 10 16 0.618387667771117
+1 0 0 0 0 9 11 16 0.637195713383579
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 9 13 16 0.522604758968734
+1 0 0 0 0 9 14 16 0.39848923656947
+1 0 0 0 0 9 15 16 0.24209048613009
+1 0 0 0 0 9 16 16 0.0660790042720083
+1 0 0 0 0 9 17 16 -0.115285805525221
+1 0 0 0 0 9 18 16 -0.287310844989883
+1 0 0 0 0 9 19 16 -0.436059668496852
+1 0 0 0 0 9 20 16 -0.54948153100891
+1 0 0 0 0 9 21 16 -0.618387667771118
+1 0 0 0 0 9 22 16 -0.637195713383579
+1 0 0 0 0 9 23 16 -0.604381951846523
+1 0 0 0 0 9 24 16 -0.522604758968737
+1 0 0 0 0 9 25 16 -0.398489236569475
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -0.59648290094983
+2 0 0 0 0 9 1 16 -0.508360375451156
+2 0 0 0 0 9 2 16 -0.379053515669004
+2 0 0 0 0 9 3 16 -0.2190379943654
+2 0 0 0 0 9 4 16 -0.0412773174274225
+2 0 0 0 0 9 5 16 0.139827402282866
+2 0 0 0 0 9 6 16 0.309604137445777
+2 0 0 0 0 9 7 16 0.454298586679535
+2 0 0 0 0 9 8 16 0.562188466238243
+2 0 0 0 0 9 9 16 0.624533179725876
+2 0 0 0 0 9 10 16 0.636281929233952
+2 0 0 0 0 9 11 16 0.596482900949832
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 9 13 16 0.379053515668998
+2 0 0 0 0 9 14 16 0.219037994365394
+2 0 0 0 0 9 15 16 0.0412773174274162
+2 0 0 0 0 9 16 16 -0.139827402282872
+2 0 0 0 0 9 17 16 -0.309604137445783
+2 0 0 0 0 9 18 16 -0.454298586679539
+2 0 0 0 0 9 19 16 -0.562188466238246
+2 0 0 0 0 9 20 16 -0.624533179725877
+2 0 0 0 0 9 21 16 -0.636281929233952
+2 0 0 0 0 9 22 16 -0.59648290094983
+2 0 0 0 0 9 23 16 -0.508360375451156
+2 0 0 0 0 9 24 16 -0.379053515669004
+2 0 0 0 0 9 25 16 -0.2190379943654
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -0.493113583217527
+3 0 0 0 0 9 1 16 -0.358814710696291
+3 0 0 0 0 9 2 16 -0.195446804267703
+3 0 0 0 0 9 3 16 -0.0162449601242362
+3 0 0 0 0 9 4 16 0.164272954075997
+3 0 0 0 0 9 5 16 0.331482450505869
+3 0 0 0 0 9 6 16 0.471837210197796
+3 0 0 0 0 9 7 16 0.573966525243435
+3 0 0 0 0 9 8 16 0.629596485924211
+3 0 0 0 0 9 9 16 0.634220283669883
+3 0 0 0 0 9 10 16 0.587463325885882
+3 0 0 0 0 9 11 16 0.493113583217531
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 9 13 16 0.195446804267697
+3 0 0 0 0 9 14 16 0.0162449601242304
+3 0 0 0 0 9 15 16 -0.164272954076003
+3 0 0 0 0 9 16 16 -0.331482450505874
+3 0 0 0 0 9 17 16 -0.4718372101978
+3 0 0 0 0 9 18 16 -0.573966525243437
+3 0 0 0 0 9 19 16 -0.629596485924212
+3 0 0 0 0 9 20 16 -0.634220283669883
+3 0 0 0 0 9 21 16 -0.587463325885879
+3 0 0 0 0 9 22 16 -0.493113583217527
+3 0 0 0 0 9 23 16 -0.358814710696291
+3 0 0 0 0 9 24 16 -0.195446804267703
+3 0 0 0 0 9 25 16 -0.0162449601242362
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -0.337796446653127
+4 0 0 0 0 9 1 16 -0.17133496444037
+4 0 0 0 0 9 2 16 0.00900705762306821
+4 0 0 0 0 9 3 16 0.188619381444931
+4 0 0 0 0 9 4 16 0.352950884744777
+4 0 0 0 0 9 5 16 0.488688406442338
+4 0 0 0 0 9 6 16 0.584835299791801
+4 0 0 0 0 9 7 16 0.633602315301583
+4 0 0 0 0 9 8 16 0.631038639403692
+4 0 0 0 0 9 9 16 0.577351965872606
+4 0 0 0 0 9 10 16 0.476891669710873
+4 0 0 0 0 9 11 16 0.337796446653131
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 9 13 16 -0.00900705762307509
+4 0 0 0 0 9 14 16 -0.188619381444936
+4 0 0 0 0 9 15 16 -0.352950884744783
+4 0 0 0 0 9 16 16 -0.488688406442342
+4 0 0 0 0 9 17 16 -0.584835299791803
+4 0 0 0 0 9 18 16 -0.633602315301584
+4 0 0 0 0 9 19 16 -0.631038639403691
+4 0 0 0 0 9 20 16 -0.577351965872604
+4 0 0 0 0 9 21 16 -0.476891669710869
+4 0 0 0 0 9 22 16 -0.337796446653127
+4 0 0 0 0 9 23 16 -0.17133496444037
+4 0 0 0 0 9 24 16 0.00900705762306821
+4 0 0 0 0 9 25 16 0.188619381444931
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -0.146732746204847
+5 0 0 0 0 9 1 16 0.0344575613432452
+5 0 0 0 0 9 2 16 0.212856322198309
+5 0 0 0 0 9 3 16 0.374010729734168
+5 0 0 0 0 9 4 16 0.504865012274416
+5 0 0 0 0 9 5 16 0.594818134068033
+5 0 0 0 0 9 6 16 0.63658262815911
+5 0 0 0 0 9 7 16 0.6267749836194
+5 0 0 0 0 9 8 16 0.566189757481202
+5 0 0 0 0 9 9 16 0.459735204452018
+5 0 0 0 0 9 10 16 0.31603563930867
+5 0 0 0 0 9 11 16 0.146732746204851
+5 0 0 0 0 9 12 16 -0.0344575613432429
+5 0 0 0 0 9 13 16 -0.212856322198315
+5 0 0 0 0 9 14 16 -0.374010729734171
+5 0 0 0 0 9 15 16 -0.50486501227442
+5 0 0 0 0 9 16 16 -0.594818134068035
+5 0 0 0 0 9 17 16 -0.63658262815911
+5 0 0 0 0 9 18 16 -0.626774983619399
+5 0 0 0 0 9 19 16 -0.566189757481199
+5 0 0 0 0 9 20 16 -0.459735204452014
+5 0 0 0 0 9 21 16 -0.316035639308665
+5 0 0 0 0 9 22 16 -0.146732746204847
+5 0 0 0 0 9 23 16 0.0344575613432452
+5 0 0 0 0 9 24 16 0.212856322198309
+5 0 0 0 0 9 25 16 0.374010729734168
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0.0600734663797312
+6 0 0 0 0 9 1 16 0.236963639789833
+6 0 0 0 0 9 2 16 0.394656428381187
+6 0 0 0 0 9 3 16 0.520376500257261
+6 0 0 0 0 9 4 16 0.603938762880696
+6 0 0 0 0 9 5 16 0.638573498697662
+6 0 0 0 0 9 6 16 0.621474807392969
+6 0 0 0 0 9 7 16 0.554027923246292
+6 0 0 0 0 9 8 16 0.441696991689129
+6 0 0 0 0 9 9 16 0.293582396738469
+6 0 0 0 0 9 10 16 0.121683502005799
+6 0 0 0 0 9 11 16 -0.0600734663797285
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 9 13 16 -0.394656428381192
+6 0 0 0 0 9 14 16 -0.520376500257262
+6 0 0 0 0 9 15 16 -0.603938762880698
+6 0 0 0 0 9 16 16 -0.638573498697663
+6 0 0 0 0 9 17 16 -0.621474807392968
+6 0 0 0 0 9 18 16 -0.554027923246289
+6 0 0 0 0 9 19 16 -0.441696991689125
+6 0 0 0 0 9 20 16 -0.293582396738464
+6 0 0 0 0 9 21 16 -0.121683502005794
+6 0 0 0 0 9 22 16 0.0600734663797312
+6 0 0 0 0 9 23 16 0.236963639789833
+6 0 0 0 0 9 24 16 0.394656428381187
+6 0 0 0 0 9 25 16 0.520376500257261
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.zl
new file mode 100644
index 000000000..7f168ca87
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.zl
@@ -0,0 +1,275 @@
+# HYDROTOY::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.581878916566596
+0 0 0 0 0 9 12 1 0.636945771771587
+0 0 0 0 0 9 12 2 0.581878916566593
+0 0 0 0 0 9 12 3 0.42619991048323
+0 0 0 0 0 9 12 4 0.196827067972683
+0 0 0 0 0 9 12 5 -0.0665789627081168
+0 0 0 0 0 9 12 6 -0.318472885885796
+0 0 0 0 0 9 12 7 -0.515299953858482
+0 0 0 0 0 9 12 8 -0.62302697845592
+0 0 0 0 0 9 12 9 -0.62302697845592
+0 0 0 0 0 9 12 10 -0.515299953858479
+0 0 0 0 0 9 12 11 -0.318472885885792
+0 0 0 0 0 9 12 12 -0.0665789627081123
+0 0 0 0 0 9 12 13 0.196827067972688
+0 0 0 0 0 9 12 14 0.426199910483233
+0 0 0 0 0 9 12 15 0.581878916566594
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 9 12 17 0.581878916566594
+0 0 0 0 0 9 12 18 0.426199910483233
+0 0 0 0 0 9 12 19 0.196827067972688
+0 0 0 0 0 9 12 20 -0.0665789627081124
+0 0 0 0 0 9 12 21 -0.318472885885792
+0 0 0 0 0 9 12 22 -0.515299953858479
+0 0 0 0 0 9 12 23 -0.62302697845592
+0 0 0 0 0 9 12 24 -0.62302697845592
+0 0 0 0 0 9 12 25 -0.515299953858482
+0 0 0 0 0 9 12 26 -0.318472885885796
+0 0 0 0 0 9 12 27 -0.0665789627081168
+0 0 0 0 0 9 12 28 0.196827067972684
+0 0 0 0 0 9 12 29 0.42619991048323
+0 0 0 0 0 9 12 30 0.581878916566593
+0 0 0 0 0 9 12 31 0.636945771771587
+0 0 0 0 0 9 12 32 0.581878916566596
+0 0 0 0 0 9 12 33 0.426199910483237
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 0.634847735200847
+1 0 0 0 0 9 12 1 0.604381951846527
+1 0 0 0 0 9 12 2 0.469413038380274
+1 0 0 0 0 9 12 3 0.253278346094499
+1 0 0 0 0 9 12 4 -0.00665047319255442
+1 0 0 0 0 9 12 5 -0.265429365246962
+1 0 0 0 0 9 12 6 -0.478313108700088
+1 0 0 0 0 9 12 7 -0.608492170320792
+1 0 0 0 0 9 12 8 -0.633457407715207
+1 0 0 0 0 9 12 9 -0.548892104535778
+1 0 0 0 0 9 12 10 -0.369418369953887
+1 0 0 0 0 9 12 11 -0.126068843146438
+1 0 0 0 0 9 12 12 0.139079131940516
+1 0 0 0 0 9 12 13 0.380179061620706
+1 0 0 0 0 9 12 14 0.555542577728329
+1 0 0 0 0 9 12 15 0.634847735200848
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 9 12 17 0.469413038380277
+1 0 0 0 0 9 12 18 0.253278346094503
+1 0 0 0 0 9 12 19 -0.00665047319254941
+1 0 0 0 0 9 12 20 -0.265429365246958
+1 0 0 0 0 9 12 21 -0.478313108700085
+1 0 0 0 0 9 12 22 -0.608492170320791
+1 0 0 0 0 9 12 23 -0.633457407715208
+1 0 0 0 0 9 12 24 -0.54889210453578
+1 0 0 0 0 9 12 25 -0.369418369953891
+1 0 0 0 0 9 12 26 -0.126068843146442
+1 0 0 0 0 9 12 27 0.139079131940511
+1 0 0 0 0 9 12 28 0.380179061620702
+1 0 0 0 0 9 12 29 0.555542577728327
+1 0 0 0 0 9 12 30 0.634847735200847
+1 0 0 0 0 9 12 31 0.604381951846527
+1 0 0 0 0 9 12 32 0.469413038380274
+1 0 0 0 0 9 12 33 0.253278346094499
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 0.621361463077224
+2 0 0 0 0 9 12 1 0.508360375451162
+2 0 0 0 0 9 12 2 0.307459160600561
+2 0 0 0 0 9 12 3 0.0533954637033426
+2 0 0 0 0 9 12 4 -0.209900793950744
+2 0 0 0 0 9 12 5 -0.436903297441897
+2 0 0 0 0 9 12 6 -0.588361251663495
+2 0 0 0 0 9 12 7 -0.638086200378305
+2 0 0 0 0 9 12 8 -0.577480248216559
+2 0 0 0 0 9 12 9 -0.417022714894814
+2 0 0 0 0 9 12 10 -0.184458165635327
+2 0 0 0 0 9 12 11 0.0800008762123356
+2 0 0 0 0 9 12 12 0.330627039777741
+2 0 0 0 0 9 12 13 0.524084784513215
+2 0 0 0 0 9 12 14 0.626923508845556
+2 0 0 0 0 9 12 15 0.621361463077223
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 9 12 17 0.307459160600565
+2 0 0 0 0 9 12 18 0.0533954637033469
+2 0 0 0 0 9 12 19 -0.209900793950739
+2 0 0 0 0 9 12 20 -0.436903297441893
+2 0 0 0 0 9 12 21 -0.588361251663493
+2 0 0 0 0 9 12 22 -0.638086200378305
+2 0 0 0 0 9 12 23 -0.577480248216561
+2 0 0 0 0 9 12 24 -0.417022714894818
+2 0 0 0 0 9 12 25 -0.184458165635331
+2 0 0 0 0 9 12 26 0.080000876212331
+2 0 0 0 0 9 12 27 0.330627039777737
+2 0 0 0 0 9 12 28 0.524084784513212
+2 0 0 0 0 9 12 29 0.626923508845555
+2 0 0 0 0 9 12 30 0.621361463077224
+2 0 0 0 0 9 12 31 0.508360375451162
+2 0 0 0 0 9 12 32 0.307459160600561
+2 0 0 0 0 9 12 33 0.0533954637033426
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 0.542663970499057
+3 0 0 0 0 9 12 1 0.358814710696298
+3 0 0 0 0 9 12 2 0.112923127684829
+3 0 0 0 0 9 12 3 -0.152493889977748
+3 0 0 0 0 9 12 4 -0.391543328699675
+3 0 0 0 0 9 12 5 -0.562891368829955
+3 0 0 0 0 9 12 6 -0.636910377581988
+3 0 0 0 0 9 12 7 -0.600801795900964
+3 0 0 0 0 9 12 8 -0.460809125595696
+3 0 0 0 0 9 12 9 -0.241138371155451
+3 0 0 0 0 9 12 10 0.0202273983309004
+3 0 0 0 0 9 12 11 0.278095666885694
+3 0 0 0 0 9 12 12 0.487878668216131
+3 0 0 0 0 9 12 13 0.613303015573443
+3 0 0 0 0 9 12 14 0.632681699855125
+3 0 0 0 0 9 12 15 0.542663970499055
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 9 12 17 0.112923127684834
+3 0 0 0 0 9 12 18 -0.152493889977744
+3 0 0 0 0 9 12 19 -0.391543328699671
+3 0 0 0 0 9 12 20 -0.562891368829953
+3 0 0 0 0 9 12 21 -0.636910377581988
+3 0 0 0 0 9 12 22 -0.600801795900965
+3 0 0 0 0 9 12 23 -0.460809125595699
+3 0 0 0 0 9 12 24 -0.241138371155455
+3 0 0 0 0 9 12 25 0.0202273983308956
+3 0 0 0 0 9 12 26 0.27809566688569
+3 0 0 0 0 9 12 27 0.487878668216128
+3 0 0 0 0 9 12 28 0.613303015573441
+3 0 0 0 0 9 12 29 0.632681699855126
+3 0 0 0 0 9 12 30 0.542663970499057
+3 0 0 0 0 9 12 31 0.358814710696298
+3 0 0 0 0 9 12 32 0.112923127684829
+3 0 0 0 0 9 12 33 -0.152493889977748
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 0.406861988467461
+4 0 0 0 0 9 12 1 0.171334964440375
+4 0 0 0 0 9 12 2 -0.0938174314677452
+4 0 0 0 0 9 12 3 -0.342747941170475
+4 0 0 0 0 9 12 4 -0.53241421807754
+4 0 0 0 0 9 12 5 -0.630021239847671
+4 0 0 0 0 9 12 6 -0.61869186568486
+4 0 0 0 0 9 12 7 -0.500385047305989
+4 0 0 0 0 9 12 8 -0.295557108392468
+4 0 0 0 0 9 12 9 -0.0396246603858536
+4 0 0 0 0 9 12 10 0.223159251380214
+4 0 0 0 0 9 12 11 0.447356901244488
+4 0 0 0 0 9 12 12 0.594202478773731
+4 0 0 0 0 9 12 13 0.638305049562943
+4 0 0 0 0 9 12 14 0.572038878463393
+4 0 0 0 0 9 12 15 0.406861988467459
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 9 12 17 -0.0938174314677396
+4 0 0 0 0 9 12 18 -0.342747941170472
+4 0 0 0 0 9 12 19 -0.532414218077537
+4 0 0 0 0 9 12 20 -0.630021239847671
+4 0 0 0 0 9 12 21 -0.618691865684861
+4 0 0 0 0 9 12 22 -0.500385047305992
+4 0 0 0 0 9 12 23 -0.295557108392472
+4 0 0 0 0 9 12 24 -0.0396246603858582
+4 0 0 0 0 9 12 25 0.223159251380209
+4 0 0 0 0 9 12 26 0.447356901244485
+4 0 0 0 0 9 12 27 0.594202478773729
+4 0 0 0 0 9 12 28 0.638305049562943
+4 0 0 0 0 9 12 29 0.572038878463395
+4 0 0 0 0 9 12 30 0.406861988467461
+4 0 0 0 0 9 12 31 0.171334964440375
+4 0 0 0 0 9 12 32 -0.0938174314677452
+4 0 0 0 0 9 12 33 -0.342747941170475
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 0.228090406054295
+5 0 0 0 0 9 12 1 -0.0344575613432415
+5 0 0 0 0 9 12 2 -0.29104750334742
+5 0 0 0 0 9 12 3 -0.497312687939259
+5 0 0 0 0 9 12 4 -0.617587990842469
+5 0 0 0 0 9 12 5 -0.631076719518255
+5 0 0 0 0 9 12 6 -0.535446550237322
+5 0 0 0 0 9 12 7 -0.347232808041159
+5 0 0 0 0 9 12 8 -0.0989793588236489
+5 0 0 0 0 9 12 9 0.166388520733715
+5 0 0 0 0 9 12 10 0.402986313463964
+5 0 0 0 0 9 12 11 0.569904111580567
+5 0 0 0 0 9 12 12 0.638280311388576
+5 0 0 0 0 9 12 13 0.596292046762908
+5 0 0 0 0 9 12 14 0.451199470108754
+5 0 0 0 0 9 12 15 0.228090406054293
+5 0 0 0 0 9 12 16 -0.0344575613432429
+5 0 0 0 0 9 12 17 -0.291047503347414
+5 0 0 0 0 9 12 18 -0.497312687939257
+5 0 0 0 0 9 12 19 -0.617587990842467
+5 0 0 0 0 9 12 20 -0.631076719518255
+5 0 0 0 0 9 12 21 -0.535446550237325
+5 0 0 0 0 9 12 22 -0.347232808041163
+5 0 0 0 0 9 12 23 -0.0989793588236532
+5 0 0 0 0 9 12 24 0.166388520733711
+5 0 0 0 0 9 12 25 0.40298631346396
+5 0 0 0 0 9 12 26 0.569904111580566
+5 0 0 0 0 9 12 27 0.638280311388575
+5 0 0 0 0 9 12 28 0.59629204676291
+5 0 0 0 0 9 12 29 0.451199470108757
+5 0 0 0 0 9 12 30 0.228090406054295
+5 0 0 0 0 9 12 31 -0.0344575613432415
+5 0 0 0 0 9 12 32 -0.29104750334742
+5 0 0 0 0 9 12 33 -0.497312687939259
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 0.025041268850882
+6 0 0 0 0 9 12 1 -0.236963639789831
+6 0 0 0 0 9 12 2 -0.457995382363801
+6 0 0 0 0 9 12 3 -0.599835562569633
+6 0 0 0 0 9 12 4 -0.63795872467217
+6 0 0 0 0 9 12 5 -0.565773027605818
+6 0 0 0 0 9 12 6 -0.395760034179826
+6 0 0 0 0 9 12 7 -0.157316535477102
+6 0 0 0 0 9 12 8 0.10832842138547
+6 0 0 0 0 9 12 9 0.355242410057682
+6 0 0 0 0 9 12 10 0.540731758754941
+6 0 0 0 0 9 12 11 0.63272367396966
+6 0 0 0 0 9 12 12 0.615311917840902
+6 0 0 0 0 9 12 13 0.491507141184166
+6 0 0 0 0 9 12 14 0.282716314614489
+6 0 0 0 0 9 12 15 0.02504126885088
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 9 12 17 -0.457995382363797
+6 0 0 0 0 9 12 18 -0.599835562569634
+6 0 0 0 0 9 12 19 -0.637958724672169
+6 0 0 0 0 9 12 20 -0.565773027605821
+6 0 0 0 0 9 12 21 -0.395760034179829
+6 0 0 0 0 9 12 22 -0.157316535477107
+6 0 0 0 0 9 12 23 0.108328421385466
+6 0 0 0 0 9 12 24 0.355242410057678
+6 0 0 0 0 9 12 25 0.540731758754938
+6 0 0 0 0 9 12 26 0.63272367396966
+6 0 0 0 0 9 12 27 0.615311917840903
+6 0 0 0 0 9 12 28 0.491507141184169
+6 0 0 0 0 9 12 29 0.282716314614493
+6 0 0 0 0 9 12 30 0.025041268850882
+6 0 0 0 0 9 12 31 -0.236963639789831
+6 0 0 0 0 9 12 32 -0.457995382363801
+6 0 0 0 0 9 12 33 -0.599835562569633
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.xl
new file mode 100644
index 000000000..b803ef4f4
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.xl
@@ -0,0 +1,170 @@
+# HYDROTOY::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.351340877630785
+0 0 0 0 0 1 12 16 -0.424791121674493
+0 0 0 0 0 2 12 16 -0.424791121674492
+0 0 0 0 0 3 12 16 -0.351340877630783
+0 0 0 0 0 4 12 16 -0.217140604013041
+0 0 0 0 0 5 12 16 -0.045394747300986
+0 0 0 0 0 6 12 16 0.134200273617742
+0 0 0 0 0 7 12 16 0.290590848056751
+0 0 0 0 0 8 12 16 0.39673562493177
+0 0 0 0 0 9 12 16 0.434281208026084
+0 0 0 0 0 10 12 16 0.39673562493177
+0 0 0 0 0 11 12 16 0.290590848056751
+0 0 0 0 0 12 12 16 0.134200273617742
+0 0 0 0 0 13 12 16 -0.045394747300986
+0 0 0 0 0 14 12 16 -0.217140604013041
+0 0 0 0 0 15 12 16 -0.351340877630783
+0 0 0 0 0 16 12 16 -0.424791121674492
+0 0 0 0 0 17 12 16 -0.424791121674493
+0 0 0 0 0 18 12 16 -0.351340877630785
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.415891937557671
+1 0 0 0 0 1 12 16 -0.432015923162627
+1 0 0 0 0 2 12 16 -0.373440430911314
+1 0 0 0 0 3 12 16 -0.250293695555626
+1 0 0 0 0 4 12 16 -0.0838689063915308
+1 0 0 0 0 5 12 16 0.0970575786127553
+1 0 0 0 0 6 12 16 0.261201926534475
+1 0 0 0 0 7 12 16 0.380182088413377
+1 0 0 0 0 8 12 16 0.433425313359762
+1 0 0 0 0 9 12 16 0.411725364080886
+1 0 0 0 0 10 12 16 0.318834358944916
+1 0 0 0 0 11 12 16 0.170813996628152
+1 0 0 0 0 12 12 16 -0.00674165750206195
+1 0 0 0 0 13 12 16 -0.183131617804134
+1 0 0 0 0 14 12 16 -0.327856457689353
+1 0 0 0 0 15 12 16 -0.415891937557671
+1 0 0 0 0 16 12 16 -0.432015923162627
+1 0 0 0 0 17 12 16 -0.373440430911314
+1 0 0 0 0 18 12 16 -0.250293695555626
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -0.436390709668035
+2 0 0 0 0 1 12 16 -0.393242459943245
+2 0 0 0 0 2 12 16 -0.282099016398671
+2 0 0 0 0 3 12 16 -0.122178090129659
+2 0 0 0 0 4 12 16 0.0588685378758739
+2 0 0 0 0 5 12 16 0.229736260878792
+2 0 0 0 0 6 12 16 0.360880497287357
+2 0 0 0 0 7 12 16 0.429625217218545
+2 0 0 0 0 8 12 16 0.424083834070078
+2 0 0 0 0 9 12 16 0.345214503330211
+2 0 0 0 0 10 12 16 0.206654448789244
+2 0 0 0 0 11 12 16 0.0323619626558881
+2 0 0 0 0 12 12 16 -0.147526200819872
+2 0 0 0 0 13 12 16 -0.301905743940417
+2 0 0 0 0 14 12 16 -0.404083041206084
+2 0 0 0 0 15 12 16 -0.436390709668035
+2 0 0 0 0 16 12 16 -0.393242459943245
+2 0 0 0 0 17 12 16 -0.282099016398671
+2 0 0 0 0 18 12 16 -0.122178090129659
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.410565078310416
+3 0 0 0 0 1 12 16 -0.31242836501202
+3 0 0 0 0 2 12 16 -0.160269949080453
+3 0 0 0 0 3 12 16 0.019600597053901
+3 0 0 0 0 4 12 16 0.196082021891802
+3 0 0 0 0 5 12 16 0.338659083795364
+3 0 0 0 0 6 12 16 0.422678913489517
+3 0 0 0 0 7 12 16 0.433613719123954
+3 0 0 0 0 8 12 16 0.369572773464887
+3 0 0 0 0 9 12 16 0.241629337810498
+3 0 0 0 0 10 12 16 0.0719059945150529
+3 0 0 0 0 11 12 16 -0.110250548477497
+3 0 0 0 0 12 12 16 -0.273343770043499
+3 0 0 0 0 13 12 16 -0.389173370518787
+3 0 0 0 0 14 12 16 -0.437711359702299
+3 0 0 0 0 15 12 16 -0.410565078310416
+3 0 0 0 0 16 12 16 -0.31242836501202
+3 0 0 0 0 17 12 16 -0.160269949080453
+3 0 0 0 0 18 12 16 0.019600597053901
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.341009832150574
+4 0 0 0 0 1 12 16 -0.197963946518029
+4 0 0 0 0 2 12 16 -0.02068829608652
+4 0 0 0 0 3 12 16 0.160164548685615
+4 0 0 0 0 4 12 16 0.313323487940762
+4 0 0 0 0 5 12 16 0.412305949676424
+4 0 0 0 0 6 12 16 0.43999696703107
+4 0 0 0 0 7 12 16 0.391608511539087
+4 0 0 0 0 8 12 16 0.275507386750355
+4 0 0 0 0 9 12 16 0.111768531886454
+4 0 0 0 0 10 12 16 -0.0712961175258505
+4 0 0 0 0 11 12 16 -0.242033020513042
+4 0 0 0 0 12 12 16 -0.370920215452565
+4 0 0 0 0 13 12 16 -0.43567193543597
+4 0 0 0 0 14 12 16 -0.425092019827216
+4 0 0 0 0 15 12 16 -0.341009832150574
+4 0 0 0 0 16 12 16 -0.197963946518029
+4 0 0 0 0 17 12 16 -0.02068829608652
+4 0 0 0 0 18 12 16 0.160164548685615
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.234926515860751
+5 0 0 0 0 1 12 16 -0.0618012649721795
+5 0 0 0 0 2 12 16 0.12200998607695
+5 0 0 0 0 3 12 16 0.284724602107445
+5 0 0 0 0 4 12 16 0.398207747791759
+5 0 0 0 0 5 12 16 0.442837156279058
+5 0 0 0 0 6 12 16 0.410895997396441
+5 0 0 0 0 7 12 16 0.307907187691032
+5 0 0 0 0 8 12 16 0.151678427984859
+5 0 0 0 0 9 12 16 -0.0307769098751558
+5 0 0 0 0 10 12 16 -0.207910640418307
+5 0 0 0 0 11 12 16 -0.349094732424262
+5 0 0 0 0 12 12 16 -0.42991717376798
+5 0 0 0 0 13 12 16 -0.436403030092304
+5 0 0 0 0 14 12 16 -0.367430837916603
+5 0 0 0 0 15 12 16 -0.234926515860751
+5 0 0 0 0 16 12 16 -0.0618012649721795
+5 0 0 0 0 17 12 16 0.12200998607695
+5 0 0 0 0 18 12 16 0.284724602107445
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.103378011524754
+6 0 0 0 0 1 12 16 0.0817937416880688
+6 0 0 0 0 2 12 16 0.25282261389021
+6 0 0 0 0 3 12 16 0.38013615932939
+6 0 0 0 0 4 12 16 0.441720709391928
+6 0 0 0 0 5 12 16 0.426927735893935
+6 0 0 0 0 6 12 16 0.338315078343162
+6 0 0 0 0 7 12 16 0.191204670250857
+6 0 0 0 0 8 12 16 0.011033237632282
+6 0 0 0 0 9 12 16 -0.171045942006732
+6 0 0 0 0 10 12 16 -0.323549724369182
+6 0 0 0 0 11 12 16 -0.420108820031231
+6 0 0 0 0 12 12 16 -0.444027284141066
+6 0 0 0 0 13 12 16 -0.391169396961672
+6 0 0 0 0 14 12 16 -0.270674767385196
+6 0 0 0 0 15 12 16 -0.103378011524754
+6 0 0 0 0 16 12 16 0.0817937416880688
+6 0 0 0 0 17 12 16 0.25282261389021
+6 0 0 0 0 18 12 16 0.38013615932939
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.yl
new file mode 100644
index 000000000..f963029e8
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.yl
@@ -0,0 +1,219 @@
+# HYDROTOY::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.416689767673842
+0 0 0 0 0 9 1 16 -0.434281208026084
+0 0 0 0 0 9 2 16 -0.416689767673844
+0 0 0 0 0 9 3 16 -0.365340600494138
+0 0 0 0 0 9 4 16 -0.284393710626609
+0 0 0 0 0 9 5 16 -0.180406933678633
+0 0 0 0 0 9 6 16 -0.0618046598853613
+0 0 0 0 0 9 7 16 0.0618046598853572
+0 0 0 0 0 9 8 16 0.180406933678629
+0 0 0 0 0 9 9 16 0.284393710626606
+0 0 0 0 0 9 10 16 0.365340600494136
+0 0 0 0 0 9 11 16 0.416689767673843
+0 0 0 0 0 9 12 16 0.434281208026084
+0 0 0 0 0 9 13 16 0.416689767673843
+0 0 0 0 0 9 14 16 0.365340600494136
+0 0 0 0 0 9 15 16 0.284393710626605
+0 0 0 0 0 9 16 16 0.180406933678629
+0 0 0 0 0 9 17 16 0.0618046598853571
+0 0 0 0 0 9 18 16 -0.0618046598853614
+0 0 0 0 0 9 19 16 -0.180406933678633
+0 0 0 0 0 9 20 16 -0.284393710626609
+0 0 0 0 0 9 21 16 -0.365340600494138
+0 0 0 0 0 9 22 16 -0.416689767673844
+0 0 0 0 0 9 23 16 -0.434281208026084
+0 0 0 0 0 9 24 16 -0.416689767673842
+0 0 0 0 0 9 25 16 -0.365340600494133
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -0.434734210686685
+1 0 0 0 0 9 1 16 -0.411725364080886
+1 0 0 0 0 9 2 16 -0.355360977102279
+1 0 0 0 0 9 3 16 -0.270207357171949
+1 0 0 0 0 9 4 16 -0.163163144148577
+1 0 0 0 0 9 5 16 -0.0429004235548697
+1 0 0 0 0 9 6 16 0.0808378342166104
+1 0 0 0 0 9 7 16 0.198027091420972
+1 0 0 0 0 9 8 16 0.299173371390867
+1 0 0 0 0 9 9 16 0.376082404063222
+1 0 0 0 0 9 10 16 0.422523477006552
+1 0 0 0 0 9 11 16 0.434734210686685
+1 0 0 0 0 9 12 16 0.411725364080886
+1 0 0 0 0 9 13 16 0.355360977102275
+1 0 0 0 0 9 14 16 0.270207357171945
+1 0 0 0 0 9 15 16 0.163163144148573
+1 0 0 0 0 9 16 16 0.0429004235548656
+1 0 0 0 0 9 17 16 -0.0808378342166146
+1 0 0 0 0 9 18 16 -0.198027091420976
+1 0 0 0 0 9 19 16 -0.29917337139087
+1 0 0 0 0 9 20 16 -0.376082404063224
+1 0 0 0 0 9 21 16 -0.422523477006553
+1 0 0 0 0 9 22 16 -0.434734210686685
+1 0 0 0 0 9 23 16 -0.411725364080886
+1 0 0 0 0 9 24 16 -0.355360977102279
+1 0 0 0 0 9 25 16 -0.270207357171949
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -0.406533838434933
+2 0 0 0 0 9 1 16 -0.345214503330214
+2 0 0 0 0 9 2 16 -0.255927942235384
+2 0 0 0 0 9 3 16 -0.145907621322717
+2 0 0 0 0 9 4 16 -0.0240667326765224
+2 0 0 0 0 9 5 16 0.0997238995207541
+2 0 0 0 0 9 6 16 0.215435494459725
+2 0 0 0 0 9 7 16 0.313693786881789
+2 0 0 0 0 9 8 16 0.386538474299475
+2 0 0 0 0 9 9 16 0.428068113362239
+2 0 0 0 0 9 10 16 0.43491821969949
+2 0 0 0 0 9 11 16 0.406533838434934
+2 0 0 0 0 9 12 16 0.345214503330211
+2 0 0 0 0 9 13 16 0.255927942235378
+2 0 0 0 0 9 14 16 0.145907621322713
+2 0 0 0 0 9 15 16 0.0240667326765182
+2 0 0 0 0 9 16 16 -0.099723899520758
+2 0 0 0 0 9 17 16 -0.215435494459729
+2 0 0 0 0 9 18 16 -0.313693786881792
+2 0 0 0 0 9 19 16 -0.386538474299477
+2 0 0 0 0 9 20 16 -0.42806811336224
+2 0 0 0 0 9 21 16 -0.434918219699489
+2 0 0 0 0 9 22 16 -0.406533838434933
+2 0 0 0 0 9 23 16 -0.345214503330214
+2 0 0 0 0 9 24 16 -0.255927942235384
+2 0 0 0 0 9 25 16 -0.145907621322717
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -0.334933448650902
+3 0 0 0 0 9 1 16 -0.241629337810503
+3 0 0 0 0 9 2 16 -0.128749855045699
+3 0 0 0 0 9 3 16 -0.00543982472995432
+3 0 0 0 0 9 4 16 0.118310907833522
+3 0 0 0 0 9 5 16 0.232476794266388
+3 0 0 0 0 9 6 16 0.327808793420523
+3 0 0 0 0 9 7 16 0.396583673685688
+3 0 0 0 0 9 8 16 0.433229703282761
+3 0 0 0 0 9 9 16 0.434778038836117
+3 0 0 0 0 9 10 16 0.40110324340753
+3 0 0 0 0 9 11 16 0.334933448650904
+3 0 0 0 0 9 12 16 0.241629337810498
+3 0 0 0 0 9 13 16 0.12874985504569
+3 0 0 0 0 9 14 16 0.00543982472995024
+3 0 0 0 0 9 15 16 -0.118310907833526
+3 0 0 0 0 9 16 16 -0.232476794266392
+3 0 0 0 0 9 17 16 -0.327808793420526
+3 0 0 0 0 9 18 16 -0.396583673685689
+3 0 0 0 0 9 19 16 -0.433229703282761
+3 0 0 0 0 9 20 16 -0.434778038836117
+3 0 0 0 0 9 21 16 -0.401103243407529
+3 0 0 0 0 9 22 16 -0.334933448650902
+3 0 0 0 0 9 23 16 -0.241629337810503
+3 0 0 0 0 9 24 16 -0.128749855045699
+3 0 0 0 0 9 25 16 -0.00543982472995432
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -0.227350582070024
+4 0 0 0 0 9 1 16 -0.111768531886463
+4 0 0 0 0 9 2 16 0.012868340037492
+4 0 0 0 0 9 3 16 0.136462695582585
+4 0 0 0 0 9 4 16 0.249001655106467
+4 0 0 0 0 9 5 16 0.341367981403489
+4 0 0 0 0 9 6 16 0.406078704040755
+4 0 0 0 0 9 7 16 0.437891345119682
+4 0 0 0 0 9 8 16 0.434228633657117
+4 0 0 0 0 9 9 16 0.395387300752772
+4 0 0 0 0 9 10 16 0.324514040200256
+4 0 0 0 0 9 11 16 0.227350582070025
+4 0 0 0 0 9 12 16 0.111768531886454
+4 0 0 0 0 9 13 16 -0.0128683400375039
+4 0 0 0 0 9 14 16 -0.136462695582588
+4 0 0 0 0 9 15 16 -0.249001655106472
+4 0 0 0 0 9 16 16 -0.341367981403491
+4 0 0 0 0 9 17 16 -0.406078704040756
+4 0 0 0 0 9 18 16 -0.437891345119682
+4 0 0 0 0 9 19 16 -0.434228633657116
+4 0 0 0 0 9 20 16 -0.39538730075277
+4 0 0 0 0 9 21 16 -0.324514040200255
+4 0 0 0 0 9 22 16 -0.227350582070024
+4 0 0 0 0 9 23 16 -0.111768531886463
+4 0 0 0 0 9 24 16 0.012868340037492
+4 0 0 0 0 9 25 16 0.136462695582585
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -0.0950072936959622
+5 0 0 0 0 9 1 16 0.030776909875144
+5 0 0 0 0 9 2 16 0.154067751245506
+5 0 0 0 0 9 3 16 0.264876939686164
+5 0 0 0 0 9 4 16 0.354227373757255
+5 0 0 0 0 9 5 16 0.414880412677843
+5 0 0 0 0 9 6 16 0.44192230795209
+5 0 0 0 0 9 7 16 0.433162286049222
+5 0 0 0 0 9 8 16 0.389310031845953
+5 0 0 0 0 9 9 16 0.313918194178434
+5 0 0 0 0 9 10 16 0.213094571361964
+5 0 0 0 0 9 11 16 0.0950072936959618
+5 0 0 0 0 9 12 16 -0.0307769098751558
+5 0 0 0 0 9 13 16 -0.154067751245519
+5 0 0 0 0 9 14 16 -0.264876939686168
+5 0 0 0 0 9 15 16 -0.354227373757259
+5 0 0 0 0 9 16 16 -0.414880412677845
+5 0 0 0 0 9 17 16 -0.44192230795209
+5 0 0 0 0 9 18 16 -0.433162286049221
+5 0 0 0 0 9 19 16 -0.389310031845951
+5 0 0 0 0 9 20 16 -0.313918194178431
+5 0 0 0 0 9 21 16 -0.213094571361964
+5 0 0 0 0 9 22 16 -0.0950072936959622
+5 0 0 0 0 9 23 16 0.030776909875144
+5 0 0 0 0 9 24 16 0.154067751245506
+5 0 0 0 0 9 25 16 0.264876939686164
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0.0482402942310665
+6 0 0 0 0 9 1 16 0.171045942006719
+6 0 0 0 0 9 2 16 0.279994464810382
+6 0 0 0 0 9 3 16 0.366259501266316
+6 0 0 0 0 9 4 16 0.422852371158769
+6 0 0 0 0 9 5 16 0.445188256739823
+6 0 0 0 0 9 6 16 0.431457637396323
+6 0 0 0 0 9 7 16 0.382772886248344
+6 0 0 0 0 9 8 16 0.303078152294531
+6 0 0 0 0 9 9 16 0.198829828916991
+6 0 0 0 0 9 10 16 0.0784734952871189
+6 0 0 0 0 9 11 16 -0.0482402942310689
+6 0 0 0 0 9 12 16 -0.171045942006732
+6 0 0 0 0 9 13 16 -0.279994464810395
+6 0 0 0 0 9 14 16 -0.36625950126632
+6 0 0 0 0 9 15 16 -0.422852371158772
+6 0 0 0 0 9 16 16 -0.445188256739823
+6 0 0 0 0 9 17 16 -0.431457637396322
+6 0 0 0 0 9 18 16 -0.382772886248342
+6 0 0 0 0 9 19 16 -0.303078152294529
+6 0 0 0 0 9 20 16 -0.198829828916988
+6 0 0 0 0 9 21 16 -0.0784734952871194
+6 0 0 0 0 9 22 16 0.0482402942310665
+6 0 0 0 0 9 23 16 0.171045942006719
+6 0 0 0 0 9 24 16 0.279994464810382
+6 0 0 0 0 9 25 16 0.366259501266316
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.zl
new file mode 100644
index 000000000..b3578a6e9
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.zl
@@ -0,0 +1,275 @@
+# HYDROTOY::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.396735624931772
+0 0 0 0 0 9 12 1 0.434281208026084
+0 0 0 0 0 9 12 2 0.396735624931769
+0 0 0 0 0 9 12 3 0.290590848056749
+0 0 0 0 0 9 12 4 0.134200273617739
+0 0 0 0 0 9 12 5 -0.0453947473009889
+0 0 0 0 0 9 12 6 -0.217140604013044
+0 0 0 0 0 9 12 7 -0.351340877630785
+0 0 0 0 0 9 12 8 -0.424791121674493
+0 0 0 0 0 9 12 9 -0.424791121674492
+0 0 0 0 0 9 12 10 -0.351340877630783
+0 0 0 0 0 9 12 11 -0.217140604013041
+0 0 0 0 0 9 12 12 -0.0453947473009859
+0 0 0 0 0 9 12 13 0.134200273617742
+0 0 0 0 0 9 12 14 0.290590848056751
+0 0 0 0 0 9 12 15 0.39673562493177
+0 0 0 0 0 9 12 16 0.434281208026084
+0 0 0 0 0 9 12 17 0.39673562493177
+0 0 0 0 0 9 12 18 0.290590848056751
+0 0 0 0 0 9 12 19 0.134200273617742
+0 0 0 0 0 9 12 20 -0.045394747300986
+0 0 0 0 0 9 12 21 -0.217140604013041
+0 0 0 0 0 9 12 22 -0.351340877630783
+0 0 0 0 0 9 12 23 -0.424791121674492
+0 0 0 0 0 9 12 24 -0.424791121674493
+0 0 0 0 0 9 12 25 -0.351340877630785
+0 0 0 0 0 9 12 26 -0.217140604013044
+0 0 0 0 0 9 12 27 -0.0453947473009889
+0 0 0 0 0 9 12 28 0.134200273617739
+0 0 0 0 0 9 12 29 0.290590848056749
+0 0 0 0 0 9 12 30 0.396735624931769
+0 0 0 0 0 9 12 31 0.434281208026084
+0 0 0 0 0 9 12 32 0.396735624931772
+0 0 0 0 0 9 12 33 0.290590848056754
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 0.433425313359762
+1 0 0 0 0 9 12 1 0.411725364080886
+1 0 0 0 0 9 12 2 0.318834358944915
+1 0 0 0 0 9 12 3 0.17081399662815
+1 0 0 0 0 9 12 4 -0.00674165750206535
+1 0 0 0 0 9 12 5 -0.183131617804137
+1 0 0 0 0 9 12 6 -0.327856457689355
+1 0 0 0 0 9 12 7 -0.415891937557671
+1 0 0 0 0 9 12 8 -0.432015923162627
+1 0 0 0 0 9 12 9 -0.373440430911314
+1 0 0 0 0 9 12 10 -0.250293695555626
+1 0 0 0 0 9 12 11 -0.0838689063915307
+1 0 0 0 0 9 12 12 0.0970575786127554
+1 0 0 0 0 9 12 13 0.261201926534475
+1 0 0 0 0 9 12 14 0.380182088413377
+1 0 0 0 0 9 12 15 0.433425313359762
+1 0 0 0 0 9 12 16 0.411725364080886
+1 0 0 0 0 9 12 17 0.318834358944916
+1 0 0 0 0 9 12 18 0.170813996628152
+1 0 0 0 0 9 12 19 -0.00674165750206186
+1 0 0 0 0 9 12 20 -0.183131617804134
+1 0 0 0 0 9 12 21 -0.327856457689353
+1 0 0 0 0 9 12 22 -0.415891937557671
+1 0 0 0 0 9 12 23 -0.432015923162627
+1 0 0 0 0 9 12 24 -0.373440430911315
+1 0 0 0 0 9 12 25 -0.250293695555629
+1 0 0 0 0 9 12 26 -0.0838689063915337
+1 0 0 0 0 9 12 27 0.0970575786127523
+1 0 0 0 0 9 12 28 0.261201926534473
+1 0 0 0 0 9 12 29 0.380182088413376
+1 0 0 0 0 9 12 30 0.433425313359762
+1 0 0 0 0 9 12 31 0.411725364080886
+1 0 0 0 0 9 12 32 0.318834358944915
+1 0 0 0 0 9 12 33 0.17081399662815
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 0.424083834070079
+2 0 0 0 0 9 12 1 0.345214503330213
+2 0 0 0 0 9 12 2 0.206654448789242
+2 0 0 0 0 9 12 3 0.0323619626558851
+2 0 0 0 0 9 12 4 -0.147526200819875
+2 0 0 0 0 9 12 5 -0.301905743940419
+2 0 0 0 0 9 12 6 -0.404083041206085
+2 0 0 0 0 9 12 7 -0.436390709668035
+2 0 0 0 0 9 12 8 -0.393242459943244
+2 0 0 0 0 9 12 9 -0.282099016398671
+2 0 0 0 0 9 12 10 -0.122178090129659
+2 0 0 0 0 9 12 11 0.058868537875874
+2 0 0 0 0 9 12 12 0.229736260878792
+2 0 0 0 0 9 12 13 0.360880497287357
+2 0 0 0 0 9 12 14 0.429625217218545
+2 0 0 0 0 9 12 15 0.424083834070078
+2 0 0 0 0 9 12 16 0.345214503330211
+2 0 0 0 0 9 12 17 0.206654448789244
+2 0 0 0 0 9 12 18 0.0323619626558882
+2 0 0 0 0 9 12 19 -0.147526200819872
+2 0 0 0 0 9 12 20 -0.301905743940417
+2 0 0 0 0 9 12 21 -0.404083041206084
+2 0 0 0 0 9 12 22 -0.436390709668035
+2 0 0 0 0 9 12 23 -0.393242459943245
+2 0 0 0 0 9 12 24 -0.282099016398674
+2 0 0 0 0 9 12 25 -0.122178090129662
+2 0 0 0 0 9 12 26 0.0588685378758712
+2 0 0 0 0 9 12 27 0.229736260878789
+2 0 0 0 0 9 12 28 0.360880497287356
+2 0 0 0 0 9 12 29 0.429625217218544
+2 0 0 0 0 9 12 30 0.424083834070079
+2 0 0 0 0 9 12 31 0.345214503330213
+2 0 0 0 0 9 12 32 0.206654448789242
+2 0 0 0 0 9 12 33 0.0323619626558851
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 0.369572773464889
+3 0 0 0 0 9 12 1 0.2416293378105
+3 0 0 0 0 9 12 2 0.0719059945150494
+3 0 0 0 0 9 12 3 -0.1102505484775
+3 0 0 0 0 9 12 4 -0.273343770043502
+3 0 0 0 0 9 12 5 -0.389173370518788
+3 0 0 0 0 9 12 6 -0.437711359702299
+3 0 0 0 0 9 12 7 -0.410565078310415
+3 0 0 0 0 9 12 8 -0.312428365012018
+3 0 0 0 0 9 12 9 -0.160269949080453
+3 0 0 0 0 9 12 10 0.0196005970539014
+3 0 0 0 0 9 12 11 0.196082021891802
+3 0 0 0 0 9 12 12 0.338659083795364
+3 0 0 0 0 9 12 13 0.422678913489517
+3 0 0 0 0 9 12 14 0.433613719123953
+3 0 0 0 0 9 12 15 0.369572773464887
+3 0 0 0 0 9 12 16 0.241629337810498
+3 0 0 0 0 9 12 17 0.0719059945150529
+3 0 0 0 0 9 12 18 -0.110250548477497
+3 0 0 0 0 9 12 19 -0.273343770043499
+3 0 0 0 0 9 12 20 -0.389173370518787
+3 0 0 0 0 9 12 21 -0.437711359702299
+3 0 0 0 0 9 12 22 -0.410565078310416
+3 0 0 0 0 9 12 23 -0.312428365012021
+3 0 0 0 0 9 12 24 -0.160269949080456
+3 0 0 0 0 9 12 25 0.019600597053898
+3 0 0 0 0 9 12 26 0.196082021891799
+3 0 0 0 0 9 12 27 0.338659083795362
+3 0 0 0 0 9 12 28 0.422678913489517
+3 0 0 0 0 9 12 29 0.433613719123954
+3 0 0 0 0 9 12 30 0.369572773464889
+3 0 0 0 0 9 12 31 0.2416293378105
+3 0 0 0 0 9 12 32 0.0719059945150494
+3 0 0 0 0 9 12 33 -0.1102505484775
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 0.275507386750357
+4 0 0 0 0 9 12 1 0.111768531886456
+4 0 0 0 0 9 12 2 -0.0712961175258543
+4 0 0 0 0 9 12 3 -0.242033020513044
+4 0 0 0 0 9 12 4 -0.370920215452567
+4 0 0 0 0 9 12 5 -0.43567193543597
+4 0 0 0 0 9 12 6 -0.425092019827216
+4 0 0 0 0 9 12 7 -0.341009832150572
+4 0 0 0 0 9 12 8 -0.197963946518027
+4 0 0 0 0 9 12 9 -0.0206882960865204
+4 0 0 0 0 9 12 10 0.160164548685615
+4 0 0 0 0 9 12 11 0.313323487940762
+4 0 0 0 0 9 12 12 0.412305949676424
+4 0 0 0 0 9 12 13 0.43999696703107
+4 0 0 0 0 9 12 14 0.391608511539087
+4 0 0 0 0 9 12 15 0.275507386750355
+4 0 0 0 0 9 12 16 0.111768531886454
+4 0 0 0 0 9 12 17 -0.0712961175258505
+4 0 0 0 0 9 12 18 -0.242033020513042
+4 0 0 0 0 9 12 19 -0.370920215452565
+4 0 0 0 0 9 12 20 -0.43567193543597
+4 0 0 0 0 9 12 21 -0.425092019827216
+4 0 0 0 0 9 12 22 -0.341009832150574
+4 0 0 0 0 9 12 23 -0.19796394651803
+4 0 0 0 0 9 12 24 -0.0206882960865234
+4 0 0 0 0 9 12 25 0.160164548685612
+4 0 0 0 0 9 12 26 0.31332348794076
+4 0 0 0 0 9 12 27 0.412305949676423
+4 0 0 0 0 9 12 28 0.439996967031071
+4 0 0 0 0 9 12 29 0.391608511539088
+4 0 0 0 0 9 12 30 0.275507386750357
+4 0 0 0 0 9 12 31 0.111768531886456
+4 0 0 0 0 9 12 32 -0.0712961175258543
+4 0 0 0 0 9 12 33 -0.242033020513044
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 0.15167842798486
+5 0 0 0 0 9 12 1 -0.0307769098751551
+5 0 0 0 0 9 12 2 -0.207910640418311
+5 0 0 0 0 9 12 3 -0.349094732424263
+5 0 0 0 0 9 12 4 -0.429917173767981
+5 0 0 0 0 9 12 5 -0.436403030092303
+5 0 0 0 0 9 12 6 -0.367430837916602
+5 0 0 0 0 9 12 7 -0.234926515860749
+5 0 0 0 0 9 12 8 -0.0618012649721778
+5 0 0 0 0 9 12 9 0.122009986076949
+5 0 0 0 0 9 12 10 0.284724602107446
+5 0 0 0 0 9 12 11 0.398207747791759
+5 0 0 0 0 9 12 12 0.442837156279058
+5 0 0 0 0 9 12 13 0.410895997396441
+5 0 0 0 0 9 12 14 0.307907187691032
+5 0 0 0 0 9 12 15 0.151678427984859
+5 0 0 0 0 9 12 16 -0.0307769098751558
+5 0 0 0 0 9 12 17 -0.207910640418307
+5 0 0 0 0 9 12 18 -0.349094732424262
+5 0 0 0 0 9 12 19 -0.42991717376798
+5 0 0 0 0 9 12 20 -0.436403030092304
+5 0 0 0 0 9 12 21 -0.367430837916603
+5 0 0 0 0 9 12 22 -0.234926515860751
+5 0 0 0 0 9 12 23 -0.061801264972181
+5 0 0 0 0 9 12 24 0.122009986076946
+5 0 0 0 0 9 12 25 0.284724602107443
+5 0 0 0 0 9 12 26 0.398207747791758
+5 0 0 0 0 9 12 27 0.442837156279058
+5 0 0 0 0 9 12 28 0.410895997396442
+5 0 0 0 0 9 12 29 0.307907187691033
+5 0 0 0 0 9 12 30 0.15167842798486
+5 0 0 0 0 9 12 31 -0.0307769098751551
+5 0 0 0 0 9 12 32 -0.207910640418311
+5 0 0 0 0 9 12 33 -0.349094732424263
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 0.0110332376322835
+6 0 0 0 0 9 12 1 -0.171045942006732
+6 0 0 0 0 9 12 2 -0.323549724369184
+6 0 0 0 0 9 12 3 -0.42010882003123
+6 0 0 0 0 9 12 4 -0.444027284141066
+6 0 0 0 0 9 12 5 -0.391169396961671
+6 0 0 0 0 9 12 6 -0.270674767385194
+6 0 0 0 0 9 12 7 -0.103378011524753
+6 0 0 0 0 9 12 8 0.0817937416880701
+6 0 0 0 0 9 12 9 0.25282261389021
+6 0 0 0 0 9 12 10 0.380136159329391
+6 0 0 0 0 9 12 11 0.441720709391928
+6 0 0 0 0 9 12 12 0.426927735893936
+6 0 0 0 0 9 12 13 0.338315078343162
+6 0 0 0 0 9 12 14 0.191204670250857
+6 0 0 0 0 9 12 15 0.011033237632282
+6 0 0 0 0 9 12 16 -0.171045942006732
+6 0 0 0 0 9 12 17 -0.323549724369182
+6 0 0 0 0 9 12 18 -0.420108820031231
+6 0 0 0 0 9 12 19 -0.444027284141066
+6 0 0 0 0 9 12 20 -0.391169396961673
+6 0 0 0 0 9 12 21 -0.270674767385196
+6 0 0 0 0 9 12 22 -0.103378011524755
+6 0 0 0 0 9 12 23 0.081793741688067
+6 0 0 0 0 9 12 24 0.252822613890207
+6 0 0 0 0 9 12 25 0.380136159329389
+6 0 0 0 0 9 12 26 0.441720709391927
+6 0 0 0 0 9 12 27 0.426927735893936
+6 0 0 0 0 9 12 28 0.338315078343164
+6 0 0 0 0 9 12 29 0.191204670250859
+6 0 0 0 0 9 12 30 0.0110332376322835
+6 0 0 0 0 9 12 31 -0.171045942006732
+6 0 0 0 0 9 12 32 -0.323549724369184
+6 0 0 0 0 9 12 33 -0.42010882003123
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.xl
new file mode 100644
index 000000000..0d957fb62
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.xl
@@ -0,0 +1,170 @@
+# HYDROTOY::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.515299953858482
+0 0 0 0 0 1 12 16 -0.62302697845592
+0 0 0 0 0 2 12 16 -0.62302697845592
+0 0 0 0 0 3 12 16 -0.51529995385848
+0 0 0 0 0 4 12 16 -0.318472885885792
+0 0 0 0 0 5 12 16 -0.0665789627081124
+0 0 0 0 0 6 12 16 0.196827067972688
+0 0 0 0 0 7 12 16 0.426199910483233
+0 0 0 0 0 8 12 16 0.581878916566594
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 10 12 16 0.581878916566594
+0 0 0 0 0 11 12 16 0.426199910483233
+0 0 0 0 0 12 12 16 0.196827067972688
+0 0 0 0 0 13 12 16 -0.0665789627081126
+0 0 0 0 0 14 12 16 -0.318472885885792
+0 0 0 0 0 15 12 16 -0.51529995385848
+0 0 0 0 0 16 12 16 -0.62302697845592
+0 0 0 0 0 17 12 16 -0.62302697845592
+0 0 0 0 0 18 12 16 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.608492170320791
+1 0 0 0 0 1 12 16 -0.633457407715208
+1 0 0 0 0 2 12 16 -0.548892104535778
+1 0 0 0 0 3 12 16 -0.369418369953888
+1 0 0 0 0 4 12 16 -0.126068843146438
+1 0 0 0 0 5 12 16 0.139079131940516
+1 0 0 0 0 6 12 16 0.380179061620706
+1 0 0 0 0 7 12 16 0.555542577728329
+1 0 0 0 0 8 12 16 0.634847735200848
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 10 12 16 0.469413038380277
+1 0 0 0 0 11 12 16 0.253278346094503
+1 0 0 0 0 12 12 16 -0.00665047319254958
+1 0 0 0 0 13 12 16 -0.265429365246958
+1 0 0 0 0 14 12 16 -0.478313108700085
+1 0 0 0 0 15 12 16 -0.608492170320791
+1 0 0 0 0 16 12 16 -0.633457407715208
+1 0 0 0 0 17 12 16 -0.548892104535778
+1 0 0 0 0 18 12 16 -0.369418369953888
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -0.638086200378305
+2 0 0 0 0 1 12 16 -0.577480248216561
+2 0 0 0 0 2 12 16 -0.417022714894814
+2 0 0 0 0 3 12 16 -0.184458165635327
+2 0 0 0 0 4 12 16 0.0800008762123353
+2 0 0 0 0 5 12 16 0.330627039777741
+2 0 0 0 0 6 12 16 0.524084784513215
+2 0 0 0 0 7 12 16 0.626923508845556
+2 0 0 0 0 8 12 16 0.621361463077223
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 10 12 16 0.307459160600565
+2 0 0 0 0 11 12 16 0.0533954637033468
+2 0 0 0 0 12 12 16 -0.209900793950739
+2 0 0 0 0 13 12 16 -0.436903297441893
+2 0 0 0 0 14 12 16 -0.588361251663493
+2 0 0 0 0 15 12 16 -0.638086200378305
+2 0 0 0 0 16 12 16 -0.577480248216561
+2 0 0 0 0 17 12 16 -0.417022714894814
+2 0 0 0 0 18 12 16 -0.184458165635327
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.600801795900965
+3 0 0 0 0 1 12 16 -0.460809125595699
+3 0 0 0 0 2 12 16 -0.241138371155451
+3 0 0 0 0 3 12 16 0.0202273983308998
+3 0 0 0 0 4 12 16 0.278095666885694
+3 0 0 0 0 5 12 16 0.487878668216132
+3 0 0 0 0 6 12 16 0.613303015573443
+3 0 0 0 0 7 12 16 0.632681699855125
+3 0 0 0 0 8 12 16 0.542663970499055
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 10 12 16 0.112923127684834
+3 0 0 0 0 11 12 16 -0.152493889977744
+3 0 0 0 0 12 12 16 -0.391543328699671
+3 0 0 0 0 13 12 16 -0.562891368829953
+3 0 0 0 0 14 12 16 -0.636910377581988
+3 0 0 0 0 15 12 16 -0.600801795900965
+3 0 0 0 0 16 12 16 -0.460809125595699
+3 0 0 0 0 17 12 16 -0.241138371155451
+3 0 0 0 0 18 12 16 0.0202273983308998
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.500385047305991
+4 0 0 0 0 1 12 16 -0.295557108392471
+4 0 0 0 0 2 12 16 -0.0396246603858532
+4 0 0 0 0 3 12 16 0.223159251380213
+4 0 0 0 0 4 12 16 0.447356901244488
+4 0 0 0 0 5 12 16 0.594202478773731
+4 0 0 0 0 6 12 16 0.638305049562943
+4 0 0 0 0 7 12 16 0.572038878463393
+4 0 0 0 0 8 12 16 0.406861988467459
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 10 12 16 -0.0938174314677397
+4 0 0 0 0 11 12 16 -0.342747941170472
+4 0 0 0 0 12 12 16 -0.532414218077537
+4 0 0 0 0 13 12 16 -0.63002123984767
+4 0 0 0 0 14 12 16 -0.618691865684861
+4 0 0 0 0 15 12 16 -0.500385047305991
+4 0 0 0 0 16 12 16 -0.295557108392471
+4 0 0 0 0 17 12 16 -0.0396246603858532
+4 0 0 0 0 18 12 16 0.223159251380213
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.347232808041161
+5 0 0 0 0 1 12 16 -0.0989793588236514
+5 0 0 0 0 2 12 16 0.166388520733716
+5 0 0 0 0 3 12 16 0.402986313463963
+5 0 0 0 0 4 12 16 0.569904111580568
+5 0 0 0 0 5 12 16 0.638280311388576
+5 0 0 0 0 6 12 16 0.596292046762909
+5 0 0 0 0 7 12 16 0.451199470108754
+5 0 0 0 0 8 12 16 0.228090406054292
+5 0 0 0 0 9 12 16 -0.0344575613432431
+5 0 0 0 0 10 12 16 -0.291047503347414
+5 0 0 0 0 11 12 16 -0.497312687939257
+5 0 0 0 0 12 12 16 -0.617587990842467
+5 0 0 0 0 13 12 16 -0.631076719518255
+5 0 0 0 0 14 12 16 -0.535446550237325
+5 0 0 0 0 15 12 16 -0.347232808041161
+5 0 0 0 0 16 12 16 -0.0989793588236514
+5 0 0 0 0 17 12 16 0.166388520733716
+5 0 0 0 0 18 12 16 0.402986313463963
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.157316535477105
+6 0 0 0 0 1 12 16 0.108328421385468
+6 0 0 0 0 2 12 16 0.355242410057682
+6 0 0 0 0 3 12 16 0.54073175875494
+6 0 0 0 0 4 12 16 0.63272367396966
+6 0 0 0 0 5 12 16 0.615311917840902
+6 0 0 0 0 6 12 16 0.491507141184166
+6 0 0 0 0 7 12 16 0.282716314614489
+6 0 0 0 0 8 12 16 0.02504126885088
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 10 12 16 -0.457995382363797
+6 0 0 0 0 11 12 16 -0.599835562569634
+6 0 0 0 0 12 12 16 -0.637958724672169
+6 0 0 0 0 13 12 16 -0.565773027605821
+6 0 0 0 0 14 12 16 -0.395760034179829
+6 0 0 0 0 15 12 16 -0.157316535477105
+6 0 0 0 0 16 12 16 0.108328421385468
+6 0 0 0 0 17 12 16 0.355242410057682
+6 0 0 0 0 18 12 16 0.54073175875494
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.yl
new file mode 100644
index 000000000..743e0cba1
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.yl
@@ -0,0 +1,219 @@
+# HYDROTOY::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.611144992588299
+0 0 0 0 0 9 1 16 -0.636945771771587
+0 0 0 0 0 9 2 16 -0.611144992588303
+0 0 0 0 0 9 3 16 -0.535832880724733
+0 0 0 0 0 9 4 16 -0.417110775585691
+0 0 0 0 0 9 5 16 -0.264596836061994
+0 0 0 0 0 9 6 16 -0.0906468344985295
+0 0 0 0 0 9 7 16 0.0906468344985235
+0 0 0 0 0 9 8 16 0.264596836061988
+0 0 0 0 0 9 9 16 0.417110775585686
+0 0 0 0 0 9 10 16 0.53583288072473
+0 0 0 0 0 9 11 16 0.611144992588301
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 9 13 16 0.611144992588301
+0 0 0 0 0 9 14 16 0.53583288072473
+0 0 0 0 0 9 15 16 0.417110775585686
+0 0 0 0 0 9 16 16 0.264596836061988
+0 0 0 0 0 9 17 16 0.0906468344985234
+0 0 0 0 0 9 18 16 -0.0906468344985296
+0 0 0 0 0 9 19 16 -0.264596836061994
+0 0 0 0 0 9 20 16 -0.417110775585691
+0 0 0 0 0 9 21 16 -0.535832880724734
+0 0 0 0 0 9 22 16 -0.611144992588303
+0 0 0 0 0 9 23 16 -0.636945771771587
+0 0 0 0 0 9 24 16 -0.611144992588299
+0 0 0 0 0 9 25 16 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -0.637195713383579
+1 0 0 0 0 9 1 16 -0.604381951846523
+1 0 0 0 0 9 2 16 -0.522604758968737
+1 0 0 0 0 9 3 16 -0.398489236569475
+1 0 0 0 0 9 4 16 -0.242090486130096
+1 0 0 0 0 9 5 16 -0.0660790042720144
+1 0 0 0 0 9 6 16 0.115285805525215
+1 0 0 0 0 9 7 16 0.287310844989877
+1 0 0 0 0 9 8 16 0.436059668496847
+1 0 0 0 0 9 9 16 0.549481531008906
+1 0 0 0 0 9 10 16 0.618387667771117
+1 0 0 0 0 9 11 16 0.637195713383579
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 9 13 16 0.522604758968734
+1 0 0 0 0 9 14 16 0.39848923656947
+1 0 0 0 0 9 15 16 0.24209048613009
+1 0 0 0 0 9 16 16 0.0660790042720084
+1 0 0 0 0 9 17 16 -0.115285805525221
+1 0 0 0 0 9 18 16 -0.287310844989883
+1 0 0 0 0 9 19 16 -0.436059668496852
+1 0 0 0 0 9 20 16 -0.54948153100891
+1 0 0 0 0 9 21 16 -0.618387667771118
+1 0 0 0 0 9 22 16 -0.637195713383579
+1 0 0 0 0 9 23 16 -0.604381951846523
+1 0 0 0 0 9 24 16 -0.522604758968737
+1 0 0 0 0 9 25 16 -0.398489236569475
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -0.59648290094983
+2 0 0 0 0 9 1 16 -0.508360375451156
+2 0 0 0 0 9 2 16 -0.379053515669004
+2 0 0 0 0 9 3 16 -0.2190379943654
+2 0 0 0 0 9 4 16 -0.0412773174274224
+2 0 0 0 0 9 5 16 0.139827402282866
+2 0 0 0 0 9 6 16 0.309604137445777
+2 0 0 0 0 9 7 16 0.454298586679535
+2 0 0 0 0 9 8 16 0.562188466238243
+2 0 0 0 0 9 9 16 0.624533179725876
+2 0 0 0 0 9 10 16 0.636281929233952
+2 0 0 0 0 9 11 16 0.596482900949832
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 9 13 16 0.379053515668998
+2 0 0 0 0 9 14 16 0.219037994365394
+2 0 0 0 0 9 15 16 0.0412773174274162
+2 0 0 0 0 9 16 16 -0.139827402282872
+2 0 0 0 0 9 17 16 -0.309604137445783
+2 0 0 0 0 9 18 16 -0.454298586679539
+2 0 0 0 0 9 19 16 -0.562188466238246
+2 0 0 0 0 9 20 16 -0.624533179725877
+2 0 0 0 0 9 21 16 -0.636281929233952
+2 0 0 0 0 9 22 16 -0.59648290094983
+2 0 0 0 0 9 23 16 -0.508360375451156
+2 0 0 0 0 9 24 16 -0.379053515669004
+2 0 0 0 0 9 25 16 -0.2190379943654
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -0.493113583217527
+3 0 0 0 0 9 1 16 -0.358814710696291
+3 0 0 0 0 9 2 16 -0.195446804267703
+3 0 0 0 0 9 3 16 -0.0162449601242363
+3 0 0 0 0 9 4 16 0.164272954075997
+3 0 0 0 0 9 5 16 0.331482450505869
+3 0 0 0 0 9 6 16 0.471837210197796
+3 0 0 0 0 9 7 16 0.573966525243434
+3 0 0 0 0 9 8 16 0.629596485924211
+3 0 0 0 0 9 9 16 0.634220283669883
+3 0 0 0 0 9 10 16 0.587463325885882
+3 0 0 0 0 9 11 16 0.493113583217531
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 9 13 16 0.195446804267697
+3 0 0 0 0 9 14 16 0.0162449601242305
+3 0 0 0 0 9 15 16 -0.164272954076003
+3 0 0 0 0 9 16 16 -0.331482450505874
+3 0 0 0 0 9 17 16 -0.4718372101978
+3 0 0 0 0 9 18 16 -0.573966525243437
+3 0 0 0 0 9 19 16 -0.629596485924212
+3 0 0 0 0 9 20 16 -0.634220283669883
+3 0 0 0 0 9 21 16 -0.587463325885879
+3 0 0 0 0 9 22 16 -0.493113583217527
+3 0 0 0 0 9 23 16 -0.358814710696291
+3 0 0 0 0 9 24 16 -0.195446804267703
+3 0 0 0 0 9 25 16 -0.0162449601242363
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -0.337796446653127
+4 0 0 0 0 9 1 16 -0.17133496444037
+4 0 0 0 0 9 2 16 0.00900705762306818
+4 0 0 0 0 9 3 16 0.188619381444931
+4 0 0 0 0 9 4 16 0.352950884744777
+4 0 0 0 0 9 5 16 0.488688406442338
+4 0 0 0 0 9 6 16 0.5848352997918
+4 0 0 0 0 9 7 16 0.633602315301583
+4 0 0 0 0 9 8 16 0.631038639403692
+4 0 0 0 0 9 9 16 0.577351965872606
+4 0 0 0 0 9 10 16 0.476891669710873
+4 0 0 0 0 9 11 16 0.337796446653131
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 9 13 16 -0.00900705762307519
+4 0 0 0 0 9 14 16 -0.188619381444936
+4 0 0 0 0 9 15 16 -0.352950884744783
+4 0 0 0 0 9 16 16 -0.488688406442342
+4 0 0 0 0 9 17 16 -0.584835299791803
+4 0 0 0 0 9 18 16 -0.633602315301584
+4 0 0 0 0 9 19 16 -0.631038639403691
+4 0 0 0 0 9 20 16 -0.577351965872604
+4 0 0 0 0 9 21 16 -0.476891669710869
+4 0 0 0 0 9 22 16 -0.337796446653127
+4 0 0 0 0 9 23 16 -0.17133496444037
+4 0 0 0 0 9 24 16 0.00900705762306818
+4 0 0 0 0 9 25 16 0.188619381444931
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -0.146732746204847
+5 0 0 0 0 9 1 16 0.0344575613432452
+5 0 0 0 0 9 2 16 0.212856322198309
+5 0 0 0 0 9 3 16 0.374010729734168
+5 0 0 0 0 9 4 16 0.504865012274416
+5 0 0 0 0 9 5 16 0.594818134068033
+5 0 0 0 0 9 6 16 0.63658262815911
+5 0 0 0 0 9 7 16 0.6267749836194
+5 0 0 0 0 9 8 16 0.566189757481202
+5 0 0 0 0 9 9 16 0.459735204452018
+5 0 0 0 0 9 10 16 0.31603563930867
+5 0 0 0 0 9 11 16 0.146732746204851
+5 0 0 0 0 9 12 16 -0.0344575613432431
+5 0 0 0 0 9 13 16 -0.212856322198315
+5 0 0 0 0 9 14 16 -0.374010729734171
+5 0 0 0 0 9 15 16 -0.50486501227442
+5 0 0 0 0 9 16 16 -0.594818134068035
+5 0 0 0 0 9 17 16 -0.63658262815911
+5 0 0 0 0 9 18 16 -0.626774983619399
+5 0 0 0 0 9 19 16 -0.566189757481199
+5 0 0 0 0 9 20 16 -0.459735204452014
+5 0 0 0 0 9 21 16 -0.316035639308665
+5 0 0 0 0 9 22 16 -0.146732746204847
+5 0 0 0 0 9 23 16 0.0344575613432452
+5 0 0 0 0 9 24 16 0.212856322198309
+5 0 0 0 0 9 25 16 0.374010729734168
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0.0600734663797312
+6 0 0 0 0 9 1 16 0.236963639789833
+6 0 0 0 0 9 2 16 0.394656428381188
+6 0 0 0 0 9 3 16 0.520376500257262
+6 0 0 0 0 9 4 16 0.603938762880696
+6 0 0 0 0 9 5 16 0.638573498697662
+6 0 0 0 0 9 6 16 0.621474807392969
+6 0 0 0 0 9 7 16 0.554027923246292
+6 0 0 0 0 9 8 16 0.441696991689129
+6 0 0 0 0 9 9 16 0.293582396738469
+6 0 0 0 0 9 10 16 0.121683502005799
+6 0 0 0 0 9 11 16 -0.0600734663797284
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 9 13 16 -0.394656428381192
+6 0 0 0 0 9 14 16 -0.520376500257262
+6 0 0 0 0 9 15 16 -0.603938762880698
+6 0 0 0 0 9 16 16 -0.638573498697662
+6 0 0 0 0 9 17 16 -0.621474807392968
+6 0 0 0 0 9 18 16 -0.554027923246289
+6 0 0 0 0 9 19 16 -0.441696991689125
+6 0 0 0 0 9 20 16 -0.293582396738463
+6 0 0 0 0 9 21 16 -0.121683502005794
+6 0 0 0 0 9 22 16 0.0600734663797312
+6 0 0 0 0 9 23 16 0.236963639789833
+6 0 0 0 0 9 24 16 0.394656428381188
+6 0 0 0 0 9 25 16 0.520376500257262
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.zl
new file mode 100644
index 000000000..fc23c9e27
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.zl
@@ -0,0 +1,275 @@
+# HYDROTOY::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.581878916566596
+0 0 0 0 0 9 12 1 0.636945771771587
+0 0 0 0 0 9 12 2 0.581878916566593
+0 0 0 0 0 9 12 3 0.42619991048323
+0 0 0 0 0 9 12 4 0.196827067972683
+0 0 0 0 0 9 12 5 -0.0665789627081168
+0 0 0 0 0 9 12 6 -0.318472885885796
+0 0 0 0 0 9 12 7 -0.515299953858482
+0 0 0 0 0 9 12 8 -0.62302697845592
+0 0 0 0 0 9 12 9 -0.62302697845592
+0 0 0 0 0 9 12 10 -0.515299953858479
+0 0 0 0 0 9 12 11 -0.318472885885792
+0 0 0 0 0 9 12 12 -0.0665789627081123
+0 0 0 0 0 9 12 13 0.196827067972688
+0 0 0 0 0 9 12 14 0.426199910483233
+0 0 0 0 0 9 12 15 0.581878916566594
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 9 12 17 0.581878916566594
+0 0 0 0 0 9 12 18 0.426199910483233
+0 0 0 0 0 9 12 19 0.196827067972688
+0 0 0 0 0 9 12 20 -0.0665789627081124
+0 0 0 0 0 9 12 21 -0.318472885885792
+0 0 0 0 0 9 12 22 -0.515299953858479
+0 0 0 0 0 9 12 23 -0.62302697845592
+0 0 0 0 0 9 12 24 -0.62302697845592
+0 0 0 0 0 9 12 25 -0.515299953858482
+0 0 0 0 0 9 12 26 -0.318472885885796
+0 0 0 0 0 9 12 27 -0.0665789627081168
+0 0 0 0 0 9 12 28 0.196827067972684
+0 0 0 0 0 9 12 29 0.42619991048323
+0 0 0 0 0 9 12 30 0.581878916566593
+0 0 0 0 0 9 12 31 0.636945771771587
+0 0 0 0 0 9 12 32 0.581878916566596
+0 0 0 0 0 9 12 33 0.426199910483237
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 0.634847735200847
+1 0 0 0 0 9 12 1 0.604381951846525
+1 0 0 0 0 9 12 2 0.469413038380274
+1 0 0 0 0 9 12 3 0.253278346094499
+1 0 0 0 0 9 12 4 -0.00665047319255438
+1 0 0 0 0 9 12 5 -0.265429365246962
+1 0 0 0 0 9 12 6 -0.478313108700088
+1 0 0 0 0 9 12 7 -0.608492170320792
+1 0 0 0 0 9 12 8 -0.633457407715207
+1 0 0 0 0 9 12 9 -0.548892104535778
+1 0 0 0 0 9 12 10 -0.369418369953887
+1 0 0 0 0 9 12 11 -0.126068843146438
+1 0 0 0 0 9 12 12 0.139079131940516
+1 0 0 0 0 9 12 13 0.380179061620706
+1 0 0 0 0 9 12 14 0.555542577728329
+1 0 0 0 0 9 12 15 0.634847735200848
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 9 12 17 0.469413038380277
+1 0 0 0 0 9 12 18 0.253278346094503
+1 0 0 0 0 9 12 19 -0.00665047319254942
+1 0 0 0 0 9 12 20 -0.265429365246958
+1 0 0 0 0 9 12 21 -0.478313108700085
+1 0 0 0 0 9 12 22 -0.608492170320791
+1 0 0 0 0 9 12 23 -0.633457407715208
+1 0 0 0 0 9 12 24 -0.54889210453578
+1 0 0 0 0 9 12 25 -0.369418369953891
+1 0 0 0 0 9 12 26 -0.126068843146442
+1 0 0 0 0 9 12 27 0.139079131940511
+1 0 0 0 0 9 12 28 0.380179061620702
+1 0 0 0 0 9 12 29 0.555542577728327
+1 0 0 0 0 9 12 30 0.634847735200847
+1 0 0 0 0 9 12 31 0.604381951846525
+1 0 0 0 0 9 12 32 0.469413038380274
+1 0 0 0 0 9 12 33 0.253278346094499
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 0.621361463077223
+2 0 0 0 0 9 12 1 0.508360375451158
+2 0 0 0 0 9 12 2 0.307459160600559
+2 0 0 0 0 9 12 3 0.0533954637033422
+2 0 0 0 0 9 12 4 -0.209900793950744
+2 0 0 0 0 9 12 5 -0.436903297441896
+2 0 0 0 0 9 12 6 -0.588361251663495
+2 0 0 0 0 9 12 7 -0.638086200378305
+2 0 0 0 0 9 12 8 -0.577480248216559
+2 0 0 0 0 9 12 9 -0.417022714894814
+2 0 0 0 0 9 12 10 -0.184458165635327
+2 0 0 0 0 9 12 11 0.0800008762123356
+2 0 0 0 0 9 12 12 0.330627039777741
+2 0 0 0 0 9 12 13 0.524084784513215
+2 0 0 0 0 9 12 14 0.626923508845556
+2 0 0 0 0 9 12 15 0.621361463077223
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 9 12 17 0.307459160600565
+2 0 0 0 0 9 12 18 0.0533954637033469
+2 0 0 0 0 9 12 19 -0.209900793950739
+2 0 0 0 0 9 12 20 -0.436903297441894
+2 0 0 0 0 9 12 21 -0.588361251663493
+2 0 0 0 0 9 12 22 -0.638086200378305
+2 0 0 0 0 9 12 23 -0.577480248216561
+2 0 0 0 0 9 12 24 -0.417022714894818
+2 0 0 0 0 9 12 25 -0.184458165635331
+2 0 0 0 0 9 12 26 0.0800008762123312
+2 0 0 0 0 9 12 27 0.330627039777737
+2 0 0 0 0 9 12 28 0.524084784513212
+2 0 0 0 0 9 12 29 0.626923508845555
+2 0 0 0 0 9 12 30 0.621361463077223
+2 0 0 0 0 9 12 31 0.508360375451158
+2 0 0 0 0 9 12 32 0.307459160600559
+2 0 0 0 0 9 12 33 0.0533954637033422
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 0.542663970499056
+3 0 0 0 0 9 12 1 0.358814710696292
+3 0 0 0 0 9 12 2 0.112923127684826
+3 0 0 0 0 9 12 3 -0.152493889977748
+3 0 0 0 0 9 12 4 -0.391543328699675
+3 0 0 0 0 9 12 5 -0.562891368829955
+3 0 0 0 0 9 12 6 -0.636910377581988
+3 0 0 0 0 9 12 7 -0.600801795900964
+3 0 0 0 0 9 12 8 -0.460809125595696
+3 0 0 0 0 9 12 9 -0.241138371155451
+3 0 0 0 0 9 12 10 0.0202273983309004
+3 0 0 0 0 9 12 11 0.278095666885694
+3 0 0 0 0 9 12 12 0.487878668216132
+3 0 0 0 0 9 12 13 0.613303015573443
+3 0 0 0 0 9 12 14 0.632681699855125
+3 0 0 0 0 9 12 15 0.542663970499055
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 9 12 17 0.112923127684834
+3 0 0 0 0 9 12 18 -0.152493889977744
+3 0 0 0 0 9 12 19 -0.391543328699671
+3 0 0 0 0 9 12 20 -0.562891368829953
+3 0 0 0 0 9 12 21 -0.636910377581988
+3 0 0 0 0 9 12 22 -0.600801795900965
+3 0 0 0 0 9 12 23 -0.4608091255957
+3 0 0 0 0 9 12 24 -0.241138371155455
+3 0 0 0 0 9 12 25 0.0202273983308957
+3 0 0 0 0 9 12 26 0.27809566688569
+3 0 0 0 0 9 12 27 0.487878668216129
+3 0 0 0 0 9 12 28 0.613303015573442
+3 0 0 0 0 9 12 29 0.632681699855125
+3 0 0 0 0 9 12 30 0.542663970499056
+3 0 0 0 0 9 12 31 0.358814710696292
+3 0 0 0 0 9 12 32 0.112923127684826
+3 0 0 0 0 9 12 33 -0.152493889977748
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 0.406861988467459
+4 0 0 0 0 9 12 1 0.171334964440367
+4 0 0 0 0 9 12 2 -0.0938174314677489
+4 0 0 0 0 9 12 3 -0.342747941170476
+4 0 0 0 0 9 12 4 -0.53241421807754
+4 0 0 0 0 9 12 5 -0.630021239847671
+4 0 0 0 0 9 12 6 -0.61869186568486
+4 0 0 0 0 9 12 7 -0.500385047305989
+4 0 0 0 0 9 12 8 -0.295557108392468
+4 0 0 0 0 9 12 9 -0.0396246603858534
+4 0 0 0 0 9 12 10 0.223159251380214
+4 0 0 0 0 9 12 11 0.447356901244488
+4 0 0 0 0 9 12 12 0.594202478773731
+4 0 0 0 0 9 12 13 0.638305049562943
+4 0 0 0 0 9 12 14 0.572038878463393
+4 0 0 0 0 9 12 15 0.406861988467459
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 9 12 17 -0.0938174314677396
+4 0 0 0 0 9 12 18 -0.342747941170472
+4 0 0 0 0 9 12 19 -0.532414218077537
+4 0 0 0 0 9 12 20 -0.630021239847671
+4 0 0 0 0 9 12 21 -0.618691865684861
+4 0 0 0 0 9 12 22 -0.500385047305991
+4 0 0 0 0 9 12 23 -0.295557108392472
+4 0 0 0 0 9 12 24 -0.0396246603858582
+4 0 0 0 0 9 12 25 0.223159251380209
+4 0 0 0 0 9 12 26 0.447356901244485
+4 0 0 0 0 9 12 27 0.594202478773729
+4 0 0 0 0 9 12 28 0.638305049562943
+4 0 0 0 0 9 12 29 0.572038878463394
+4 0 0 0 0 9 12 30 0.406861988467459
+4 0 0 0 0 9 12 31 0.171334964440367
+4 0 0 0 0 9 12 32 -0.0938174314677489
+4 0 0 0 0 9 12 33 -0.342747941170476
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 0.228090406054292
+5 0 0 0 0 9 12 1 -0.0344575613432509
+5 0 0 0 0 9 12 2 -0.291047503347424
+5 0 0 0 0 9 12 3 -0.49731268793926
+5 0 0 0 0 9 12 4 -0.61758799084247
+5 0 0 0 0 9 12 5 -0.631076719518254
+5 0 0 0 0 9 12 6 -0.535446550237322
+5 0 0 0 0 9 12 7 -0.347232808041159
+5 0 0 0 0 9 12 8 -0.0989793588236489
+5 0 0 0 0 9 12 9 0.166388520733715
+5 0 0 0 0 9 12 10 0.402986313463964
+5 0 0 0 0 9 12 11 0.569904111580567
+5 0 0 0 0 9 12 12 0.638280311388576
+5 0 0 0 0 9 12 13 0.596292046762908
+5 0 0 0 0 9 12 14 0.451199470108754
+5 0 0 0 0 9 12 15 0.228090406054293
+5 0 0 0 0 9 12 16 -0.0344575613432431
+5 0 0 0 0 9 12 17 -0.291047503347414
+5 0 0 0 0 9 12 18 -0.497312687939257
+5 0 0 0 0 9 12 19 -0.617587990842467
+5 0 0 0 0 9 12 20 -0.631076719518255
+5 0 0 0 0 9 12 21 -0.535446550237325
+5 0 0 0 0 9 12 22 -0.347232808041162
+5 0 0 0 0 9 12 23 -0.0989793588236535
+5 0 0 0 0 9 12 24 0.166388520733711
+5 0 0 0 0 9 12 25 0.40298631346396
+5 0 0 0 0 9 12 26 0.569904111580566
+5 0 0 0 0 9 12 27 0.638280311388575
+5 0 0 0 0 9 12 28 0.59629204676291
+5 0 0 0 0 9 12 29 0.451199470108755
+5 0 0 0 0 9 12 30 0.228090406054292
+5 0 0 0 0 9 12 31 -0.0344575613432509
+5 0 0 0 0 9 12 32 -0.291047503347424
+5 0 0 0 0 9 12 33 -0.49731268793926
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 0.0250412688508779
+6 0 0 0 0 9 12 1 -0.236963639789841
+6 0 0 0 0 9 12 2 -0.457995382363806
+6 0 0 0 0 9 12 3 -0.599835562569635
+6 0 0 0 0 9 12 4 -0.637958724672171
+6 0 0 0 0 9 12 5 -0.565773027605818
+6 0 0 0 0 9 12 6 -0.395760034179826
+6 0 0 0 0 9 12 7 -0.157316535477102
+6 0 0 0 0 9 12 8 0.10832842138547
+6 0 0 0 0 9 12 9 0.355242410057682
+6 0 0 0 0 9 12 10 0.540731758754941
+6 0 0 0 0 9 12 11 0.63272367396966
+6 0 0 0 0 9 12 12 0.615311917840902
+6 0 0 0 0 9 12 13 0.491507141184166
+6 0 0 0 0 9 12 14 0.282716314614489
+6 0 0 0 0 9 12 15 0.0250412688508801
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 9 12 17 -0.457995382363797
+6 0 0 0 0 9 12 18 -0.599835562569634
+6 0 0 0 0 9 12 19 -0.637958724672169
+6 0 0 0 0 9 12 20 -0.565773027605821
+6 0 0 0 0 9 12 21 -0.39576003417983
+6 0 0 0 0 9 12 22 -0.157316535477107
+6 0 0 0 0 9 12 23 0.108328421385465
+6 0 0 0 0 9 12 24 0.355242410057678
+6 0 0 0 0 9 12 25 0.540731758754939
+6 0 0 0 0 9 12 26 0.63272367396966
+6 0 0 0 0 9 12 27 0.615311917840903
+6 0 0 0 0 9 12 28 0.491507141184168
+6 0 0 0 0 9 12 29 0.282716314614489
+6 0 0 0 0 9 12 30 0.0250412688508779
+6 0 0 0 0 9 12 31 -0.236963639789841
+6 0 0 0 0 9 12 32 -0.457995382363806
+6 0 0 0 0 9 12 33 -0.599835562569635
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.log b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.log
new file mode 100644
index 000000000..ca99abdda
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.log
@@ -0,0 +1,139 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Nov 30 2001 (15:23:02)
+Run date: Dec 3 2001 (11:14:26)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/HydroToy/test/hydrotoy_periodic_coarse_rl2.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetSlab IDHydroToy HydroToy<---
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetIOFlexIO...Success -> active implementation IOFlexIO
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn HydroToy...Success -> active implementation hydrotoy
+Activating thorn IDHydroToy...Success -> active implementation idhydrotoy
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Time...Success -> active implementation time
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ CarpetIOFlexIO: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ HydroToy: Register banner
+ IDHydroToy: Register banner
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ HydroToy: Schedule symmetries
+ Time: Initialise Time variables
+ Time: Set timestep based on Courant condition
+ CarpetIOFlexIO: Read initial data from file
+ IDHydroToy: Initial data for 3D wave equation
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ HydroToy: Euler predictor step
+ HydroToy: Euler corrector step
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 3D FlexIO I/O provided by CarpetIOFlexIO
+--------------------------------------------------------------------------------
+HydroToy: Evolutions of a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+IDHydroToy: Initial data for a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-5.4, -7.2, -9.6]
+INFO (Cart3d): Whole grid: upper bound [5.4, 7.8, 10.2]
+INFO (Cart3d): Whole grid: extent [11.4, 15.6, 20.4]
+INFO (Cart3d): Interior: lower bound [-4.2, -6, -8.4]
+INFO (Cart3d): Interior: upper bound [4.2, 6.6, 9]
+INFO (Cart3d): Interior: extent [9, 13.2, 18]
+INFO (Cart3d): Grid spacing: [0.6, 0.6, 0.6]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every 1 iterations
+------------------
+ it | |
+ | t |
+------------------
+ 0 | 0.000 |
+ 0 | 0.000 |
+ 1 | 0.150 |
+ 2 | 0.300 |
+ 2 | 0.300 |
+ 3 | 0.450 |
+ 4 | 0.600 |
+ 4 | 0.600 |
+ 5 | 0.750 |
+ 6 | 0.900 |
+ 6 | 0.900 |
+ 7 | 1.050 |
+ 8 | 1.200 |
+ 8 | 1.200 |
+ 9 | 1.350 |
+ 10 | 1.500 |
+ 10 | 1.500 |
+ 11 | 1.650 |
+ 12 | 1.800 |
+ 12 | 1.800 |
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.par b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.par
new file mode 100644
index 000000000..e7626fe9e
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.par
@@ -0,0 +1,52 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.par,v 1.4 2004/03/23 12:00:04 schnetter Exp $
+
+!DESC "HydroToy with periodic boundaries, 1 refinement level"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 12
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_coarse_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.xl
new file mode 100644
index 000000000..11061d80c
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -2.7
+0 0 1 0 0 10 24 32 -2.4
+0 0 1 0 0 11 24 32 -2.1
+0 0 1 0 0 12 24 32 -1.8
+0 0 1 0 0 13 24 32 -1.5
+0 0 1 0 0 14 24 32 -1.2
+0 0 1 0 0 15 24 32 -0.9
+0 0 1 0 0 16 24 32 -0.6
+0 0 1 0 0 17 24 32 -0.3
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 19 24 32 0.3
+0 0 1 0 0 20 24 32 0.600000000000001
+0 0 1 0 0 21 24 32 0.900000000000001
+0 0 1 0 0 22 24 32 1.2
+0 0 1 0 0 23 24 32 1.5
+0 0 1 0 0 24 24 32 1.8
+0 0 1 0 0 25 24 32 2.1
+0 0 1 0 0 26 24 32 2.4
+0 0 1 0 0 27 24 32 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -5.4
+0 0 0 0 0 2 24 32 -4.8
+0 0 0 0 0 4 24 32 -4.2
+0 0 0 0 0 6 24 32 -3.6
+0 0 0 0 0 8 24 32 -3
+0 0 0 0 0 10 24 32 -2.4
+0 0 0 0 0 12 24 32 -1.8
+0 0 0 0 0 14 24 32 -1.2
+0 0 0 0 0 16 24 32 -0.6
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 20 24 32 0.600000000000001
+0 0 0 0 0 22 24 32 1.2
+0 0 0 0 0 24 24 32 1.8
+0 0 0 0 0 26 24 32 2.4
+0 0 0 0 0 28 24 32 3
+0 0 0 0 0 30 24 32 3.6
+0 0 0 0 0 32 24 32 4.2
+0 0 0 0 0 34 24 32 4.8
+0 0 0 0 0 36 24 32 5.4
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -2.7
+1 0 1 0 0 10 24 32 -2.4
+1 0 1 0 0 11 24 32 -2.1
+1 0 1 0 0 12 24 32 -1.8
+1 0 1 0 0 13 24 32 -1.5
+1 0 1 0 0 14 24 32 -1.2
+1 0 1 0 0 15 24 32 -0.9
+1 0 1 0 0 16 24 32 -0.6
+1 0 1 0 0 17 24 32 -0.3
+1 0 1 0 0 18 24 32 4.44089209850063e-16
+1 0 1 0 0 19 24 32 0.3
+1 0 1 0 0 20 24 32 0.600000000000001
+1 0 1 0 0 21 24 32 0.900000000000001
+1 0 1 0 0 22 24 32 1.2
+1 0 1 0 0 23 24 32 1.5
+1 0 1 0 0 24 24 32 1.8
+1 0 1 0 0 25 24 32 2.1
+1 0 1 0 0 26 24 32 2.4
+1 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 -2.7
+2 0 1 0 0 10 24 32 -2.4
+2 0 1 0 0 11 24 32 -2.1
+2 0 1 0 0 12 24 32 -1.8
+2 0 1 0 0 13 24 32 -1.5
+2 0 1 0 0 14 24 32 -1.2
+2 0 1 0 0 15 24 32 -0.9
+2 0 1 0 0 16 24 32 -0.6
+2 0 1 0 0 17 24 32 -0.3
+2 0 1 0 0 18 24 32 4.44089209850063e-16
+2 0 1 0 0 19 24 32 0.3
+2 0 1 0 0 20 24 32 0.600000000000001
+2 0 1 0 0 21 24 32 0.900000000000001
+2 0 1 0 0 22 24 32 1.2
+2 0 1 0 0 23 24 32 1.5
+2 0 1 0 0 24 24 32 1.8
+2 0 1 0 0 25 24 32 2.1
+2 0 1 0 0 26 24 32 2.4
+2 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -5.4
+2 0 0 0 0 2 24 32 -4.8
+2 0 0 0 0 4 24 32 -4.2
+2 0 0 0 0 6 24 32 -3.6
+2 0 0 0 0 8 24 32 -3
+2 0 0 0 0 10 24 32 -2.4
+2 0 0 0 0 12 24 32 -1.8
+2 0 0 0 0 14 24 32 -1.2
+2 0 0 0 0 16 24 32 -0.6
+2 0 0 0 0 18 24 32 4.44089209850063e-16
+2 0 0 0 0 20 24 32 0.600000000000001
+2 0 0 0 0 22 24 32 1.2
+2 0 0 0 0 24 24 32 1.8
+2 0 0 0 0 26 24 32 2.4
+2 0 0 0 0 28 24 32 3
+2 0 0 0 0 30 24 32 3.6
+2 0 0 0 0 32 24 32 4.2
+2 0 0 0 0 34 24 32 4.8
+2 0 0 0 0 36 24 32 5.4
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 -2.7
+3 0 1 0 0 10 24 32 -2.4
+3 0 1 0 0 11 24 32 -2.1
+3 0 1 0 0 12 24 32 -1.8
+3 0 1 0 0 13 24 32 -1.5
+3 0 1 0 0 14 24 32 -1.2
+3 0 1 0 0 15 24 32 -0.9
+3 0 1 0 0 16 24 32 -0.6
+3 0 1 0 0 17 24 32 -0.3
+3 0 1 0 0 18 24 32 4.44089209850063e-16
+3 0 1 0 0 19 24 32 0.3
+3 0 1 0 0 20 24 32 0.600000000000001
+3 0 1 0 0 21 24 32 0.900000000000001
+3 0 1 0 0 22 24 32 1.2
+3 0 1 0 0 23 24 32 1.5
+3 0 1 0 0 24 24 32 1.8
+3 0 1 0 0 25 24 32 2.1
+3 0 1 0 0 26 24 32 2.4
+3 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 -2.7
+4 0 1 0 0 10 24 32 -2.4
+4 0 1 0 0 11 24 32 -2.1
+4 0 1 0 0 12 24 32 -1.8
+4 0 1 0 0 13 24 32 -1.5
+4 0 1 0 0 14 24 32 -1.2
+4 0 1 0 0 15 24 32 -0.9
+4 0 1 0 0 16 24 32 -0.6
+4 0 1 0 0 17 24 32 -0.3
+4 0 1 0 0 18 24 32 4.44089209850063e-16
+4 0 1 0 0 19 24 32 0.3
+4 0 1 0 0 20 24 32 0.600000000000001
+4 0 1 0 0 21 24 32 0.900000000000001
+4 0 1 0 0 22 24 32 1.2
+4 0 1 0 0 23 24 32 1.5
+4 0 1 0 0 24 24 32 1.8
+4 0 1 0 0 25 24 32 2.1
+4 0 1 0 0 26 24 32 2.4
+4 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -5.4
+4 0 0 0 0 2 24 32 -4.8
+4 0 0 0 0 4 24 32 -4.2
+4 0 0 0 0 6 24 32 -3.6
+4 0 0 0 0 8 24 32 -3
+4 0 0 0 0 10 24 32 -2.4
+4 0 0 0 0 12 24 32 -1.8
+4 0 0 0 0 14 24 32 -1.2
+4 0 0 0 0 16 24 32 -0.6
+4 0 0 0 0 18 24 32 4.44089209850063e-16
+4 0 0 0 0 20 24 32 0.600000000000001
+4 0 0 0 0 22 24 32 1.2
+4 0 0 0 0 24 24 32 1.8
+4 0 0 0 0 26 24 32 2.4
+4 0 0 0 0 28 24 32 3
+4 0 0 0 0 30 24 32 3.6
+4 0 0 0 0 32 24 32 4.2
+4 0 0 0 0 34 24 32 4.8
+4 0 0 0 0 36 24 32 5.4
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 -2.7
+5 0 1 0 0 10 24 32 -2.4
+5 0 1 0 0 11 24 32 -2.1
+5 0 1 0 0 12 24 32 -1.8
+5 0 1 0 0 13 24 32 -1.5
+5 0 1 0 0 14 24 32 -1.2
+5 0 1 0 0 15 24 32 -0.9
+5 0 1 0 0 16 24 32 -0.6
+5 0 1 0 0 17 24 32 -0.3
+5 0 1 0 0 18 24 32 4.44089209850063e-16
+5 0 1 0 0 19 24 32 0.3
+5 0 1 0 0 20 24 32 0.600000000000001
+5 0 1 0 0 21 24 32 0.900000000000001
+5 0 1 0 0 22 24 32 1.2
+5 0 1 0 0 23 24 32 1.5
+5 0 1 0 0 24 24 32 1.8
+5 0 1 0 0 25 24 32 2.1
+5 0 1 0 0 26 24 32 2.4
+5 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 -2.7
+6 0 1 0 0 10 24 32 -2.4
+6 0 1 0 0 11 24 32 -2.1
+6 0 1 0 0 12 24 32 -1.8
+6 0 1 0 0 13 24 32 -1.5
+6 0 1 0 0 14 24 32 -1.2
+6 0 1 0 0 15 24 32 -0.9
+6 0 1 0 0 16 24 32 -0.6
+6 0 1 0 0 17 24 32 -0.3
+6 0 1 0 0 18 24 32 4.44089209850063e-16
+6 0 1 0 0 19 24 32 0.3
+6 0 1 0 0 20 24 32 0.600000000000001
+6 0 1 0 0 21 24 32 0.900000000000001
+6 0 1 0 0 22 24 32 1.2
+6 0 1 0 0 23 24 32 1.5
+6 0 1 0 0 24 24 32 1.8
+6 0 1 0 0 25 24 32 2.1
+6 0 1 0 0 26 24 32 2.4
+6 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -5.4
+6 0 0 0 0 2 24 32 -4.8
+6 0 0 0 0 4 24 32 -4.2
+6 0 0 0 0 6 24 32 -3.6
+6 0 0 0 0 8 24 32 -3
+6 0 0 0 0 10 24 32 -2.4
+6 0 0 0 0 12 24 32 -1.8
+6 0 0 0 0 14 24 32 -1.2
+6 0 0 0 0 16 24 32 -0.6
+6 0 0 0 0 18 24 32 4.44089209850063e-16
+6 0 0 0 0 20 24 32 0.600000000000001
+6 0 0 0 0 22 24 32 1.2
+6 0 0 0 0 24 24 32 1.8
+6 0 0 0 0 26 24 32 2.4
+6 0 0 0 0 28 24 32 3
+6 0 0 0 0 30 24 32 3.6
+6 0 0 0 0 32 24 32 4.2
+6 0 0 0 0 34 24 32 4.8
+6 0 0 0 0 36 24 32 5.4
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 -2.7
+7 0 1 0 0 10 24 32 -2.4
+7 0 1 0 0 11 24 32 -2.1
+7 0 1 0 0 12 24 32 -1.8
+7 0 1 0 0 13 24 32 -1.5
+7 0 1 0 0 14 24 32 -1.2
+7 0 1 0 0 15 24 32 -0.9
+7 0 1 0 0 16 24 32 -0.6
+7 0 1 0 0 17 24 32 -0.3
+7 0 1 0 0 18 24 32 4.44089209850063e-16
+7 0 1 0 0 19 24 32 0.3
+7 0 1 0 0 20 24 32 0.600000000000001
+7 0 1 0 0 21 24 32 0.900000000000001
+7 0 1 0 0 22 24 32 1.2
+7 0 1 0 0 23 24 32 1.5
+7 0 1 0 0 24 24 32 1.8
+7 0 1 0 0 25 24 32 2.1
+7 0 1 0 0 26 24 32 2.4
+7 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 -2.7
+8 0 1 0 0 10 24 32 -2.4
+8 0 1 0 0 11 24 32 -2.1
+8 0 1 0 0 12 24 32 -1.8
+8 0 1 0 0 13 24 32 -1.5
+8 0 1 0 0 14 24 32 -1.2
+8 0 1 0 0 15 24 32 -0.9
+8 0 1 0 0 16 24 32 -0.6
+8 0 1 0 0 17 24 32 -0.3
+8 0 1 0 0 18 24 32 4.44089209850063e-16
+8 0 1 0 0 19 24 32 0.3
+8 0 1 0 0 20 24 32 0.600000000000001
+8 0 1 0 0 21 24 32 0.900000000000001
+8 0 1 0 0 22 24 32 1.2
+8 0 1 0 0 23 24 32 1.5
+8 0 1 0 0 24 24 32 1.8
+8 0 1 0 0 25 24 32 2.1
+8 0 1 0 0 26 24 32 2.4
+8 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -5.4
+8 0 0 0 0 2 24 32 -4.8
+8 0 0 0 0 4 24 32 -4.2
+8 0 0 0 0 6 24 32 -3.6
+8 0 0 0 0 8 24 32 -3
+8 0 0 0 0 10 24 32 -2.4
+8 0 0 0 0 12 24 32 -1.8
+8 0 0 0 0 14 24 32 -1.2
+8 0 0 0 0 16 24 32 -0.6
+8 0 0 0 0 18 24 32 4.44089209850063e-16
+8 0 0 0 0 20 24 32 0.600000000000001
+8 0 0 0 0 22 24 32 1.2
+8 0 0 0 0 24 24 32 1.8
+8 0 0 0 0 26 24 32 2.4
+8 0 0 0 0 28 24 32 3
+8 0 0 0 0 30 24 32 3.6
+8 0 0 0 0 32 24 32 4.2
+8 0 0 0 0 34 24 32 4.8
+8 0 0 0 0 36 24 32 5.4
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 -2.7
+9 0 1 0 0 10 24 32 -2.4
+9 0 1 0 0 11 24 32 -2.1
+9 0 1 0 0 12 24 32 -1.8
+9 0 1 0 0 13 24 32 -1.5
+9 0 1 0 0 14 24 32 -1.2
+9 0 1 0 0 15 24 32 -0.9
+9 0 1 0 0 16 24 32 -0.6
+9 0 1 0 0 17 24 32 -0.3
+9 0 1 0 0 18 24 32 4.44089209850063e-16
+9 0 1 0 0 19 24 32 0.3
+9 0 1 0 0 20 24 32 0.600000000000001
+9 0 1 0 0 21 24 32 0.900000000000001
+9 0 1 0 0 22 24 32 1.2
+9 0 1 0 0 23 24 32 1.5
+9 0 1 0 0 24 24 32 1.8
+9 0 1 0 0 25 24 32 2.1
+9 0 1 0 0 26 24 32 2.4
+9 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 -2.7
+10 0 1 0 0 10 24 32 -2.4
+10 0 1 0 0 11 24 32 -2.1
+10 0 1 0 0 12 24 32 -1.8
+10 0 1 0 0 13 24 32 -1.5
+10 0 1 0 0 14 24 32 -1.2
+10 0 1 0 0 15 24 32 -0.9
+10 0 1 0 0 16 24 32 -0.6
+10 0 1 0 0 17 24 32 -0.3
+10 0 1 0 0 18 24 32 4.44089209850063e-16
+10 0 1 0 0 19 24 32 0.3
+10 0 1 0 0 20 24 32 0.600000000000001
+10 0 1 0 0 21 24 32 0.900000000000001
+10 0 1 0 0 22 24 32 1.2
+10 0 1 0 0 23 24 32 1.5
+10 0 1 0 0 24 24 32 1.8
+10 0 1 0 0 25 24 32 2.1
+10 0 1 0 0 26 24 32 2.4
+10 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -5.4
+10 0 0 0 0 2 24 32 -4.8
+10 0 0 0 0 4 24 32 -4.2
+10 0 0 0 0 6 24 32 -3.6
+10 0 0 0 0 8 24 32 -3
+10 0 0 0 0 10 24 32 -2.4
+10 0 0 0 0 12 24 32 -1.8
+10 0 0 0 0 14 24 32 -1.2
+10 0 0 0 0 16 24 32 -0.6
+10 0 0 0 0 18 24 32 4.44089209850063e-16
+10 0 0 0 0 20 24 32 0.600000000000001
+10 0 0 0 0 22 24 32 1.2
+10 0 0 0 0 24 24 32 1.8
+10 0 0 0 0 26 24 32 2.4
+10 0 0 0 0 28 24 32 3
+10 0 0 0 0 30 24 32 3.6
+10 0 0 0 0 32 24 32 4.2
+10 0 0 0 0 34 24 32 4.8
+10 0 0 0 0 36 24 32 5.4
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 -2.7
+11 0 1 0 0 10 24 32 -2.4
+11 0 1 0 0 11 24 32 -2.1
+11 0 1 0 0 12 24 32 -1.8
+11 0 1 0 0 13 24 32 -1.5
+11 0 1 0 0 14 24 32 -1.2
+11 0 1 0 0 15 24 32 -0.9
+11 0 1 0 0 16 24 32 -0.6
+11 0 1 0 0 17 24 32 -0.3
+11 0 1 0 0 18 24 32 4.44089209850063e-16
+11 0 1 0 0 19 24 32 0.3
+11 0 1 0 0 20 24 32 0.600000000000001
+11 0 1 0 0 21 24 32 0.900000000000001
+11 0 1 0 0 22 24 32 1.2
+11 0 1 0 0 23 24 32 1.5
+11 0 1 0 0 24 24 32 1.8
+11 0 1 0 0 25 24 32 2.1
+11 0 1 0 0 26 24 32 2.4
+11 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 -2.7
+12 0 1 0 0 10 24 32 -2.4
+12 0 1 0 0 11 24 32 -2.1
+12 0 1 0 0 12 24 32 -1.8
+12 0 1 0 0 13 24 32 -1.5
+12 0 1 0 0 14 24 32 -1.2
+12 0 1 0 0 15 24 32 -0.9
+12 0 1 0 0 16 24 32 -0.6
+12 0 1 0 0 17 24 32 -0.3
+12 0 1 0 0 18 24 32 4.44089209850063e-16
+12 0 1 0 0 19 24 32 0.3
+12 0 1 0 0 20 24 32 0.600000000000001
+12 0 1 0 0 21 24 32 0.900000000000001
+12 0 1 0 0 22 24 32 1.2
+12 0 1 0 0 23 24 32 1.5
+12 0 1 0 0 24 24 32 1.8
+12 0 1 0 0 25 24 32 2.1
+12 0 1 0 0 26 24 32 2.4
+12 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -5.4
+12 0 0 0 0 2 24 32 -4.8
+12 0 0 0 0 4 24 32 -4.2
+12 0 0 0 0 6 24 32 -3.6
+12 0 0 0 0 8 24 32 -3
+12 0 0 0 0 10 24 32 -2.4
+12 0 0 0 0 12 24 32 -1.8
+12 0 0 0 0 14 24 32 -1.2
+12 0 0 0 0 16 24 32 -0.6
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 20 24 32 0.600000000000001
+12 0 0 0 0 22 24 32 1.2
+12 0 0 0 0 24 24 32 1.8
+12 0 0 0 0 26 24 32 2.4
+12 0 0 0 0 28 24 32 3
+12 0 0 0 0 30 24 32 3.6
+12 0 0 0 0 32 24 32 4.2
+12 0 0 0 0 34 24 32 4.8
+12 0 0 0 0 36 24 32 5.4
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.yl
new file mode 100644
index 000000000..44fc64068
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 4.44089209850063e-16
+0 0 1 0 0 18 14 32 4.44089209850063e-16
+0 0 1 0 0 18 15 32 4.44089209850063e-16
+0 0 1 0 0 18 16 32 4.44089209850063e-16
+0 0 1 0 0 18 17 32 4.44089209850063e-16
+0 0 1 0 0 18 18 32 4.44089209850063e-16
+0 0 1 0 0 18 19 32 4.44089209850063e-16
+0 0 1 0 0 18 20 32 4.44089209850063e-16
+0 0 1 0 0 18 21 32 4.44089209850063e-16
+0 0 1 0 0 18 22 32 4.44089209850063e-16
+0 0 1 0 0 18 23 32 4.44089209850063e-16
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 18 25 32 4.44089209850063e-16
+0 0 1 0 0 18 26 32 4.44089209850063e-16
+0 0 1 0 0 18 27 32 4.44089209850063e-16
+0 0 1 0 0 18 28 32 4.44089209850063e-16
+0 0 1 0 0 18 29 32 4.44089209850063e-16
+0 0 1 0 0 18 30 32 4.44089209850063e-16
+0 0 1 0 0 18 31 32 4.44089209850063e-16
+0 0 1 0 0 18 32 32 4.44089209850063e-16
+0 0 1 0 0 18 33 32 4.44089209850063e-16
+0 0 1 0 0 18 34 32 4.44089209850063e-16
+0 0 1 0 0 18 35 32 4.44089209850063e-16
+0 0 1 0 0 18 36 32 4.44089209850063e-16
+0 0 1 0 0 18 37 32 4.44089209850063e-16
+0 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 4.44089209850063e-16
+0 0 0 0 0 18 2 32 4.44089209850063e-16
+0 0 0 0 0 18 4 32 4.44089209850063e-16
+0 0 0 0 0 18 6 32 4.44089209850063e-16
+0 0 0 0 0 18 8 32 4.44089209850063e-16
+0 0 0 0 0 18 10 32 4.44089209850063e-16
+0 0 0 0 0 18 12 32 4.44089209850063e-16
+0 0 0 0 0 18 14 32 4.44089209850063e-16
+0 0 0 0 0 18 16 32 4.44089209850063e-16
+0 0 0 0 0 18 18 32 4.44089209850063e-16
+0 0 0 0 0 18 20 32 4.44089209850063e-16
+0 0 0 0 0 18 22 32 4.44089209850063e-16
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 18 26 32 4.44089209850063e-16
+0 0 0 0 0 18 28 32 4.44089209850063e-16
+0 0 0 0 0 18 30 32 4.44089209850063e-16
+0 0 0 0 0 18 32 32 4.44089209850063e-16
+0 0 0 0 0 18 34 32 4.44089209850063e-16
+0 0 0 0 0 18 36 32 4.44089209850063e-16
+0 0 0 0 0 18 38 32 4.44089209850063e-16
+0 0 0 0 0 18 40 32 4.44089209850063e-16
+0 0 0 0 0 18 42 32 4.44089209850063e-16
+0 0 0 0 0 18 44 32 4.44089209850063e-16
+0 0 0 0 0 18 46 32 4.44089209850063e-16
+0 0 0 0 0 18 48 32 4.44089209850063e-16
+0 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 4.44089209850063e-16
+1 0 1 0 0 18 14 32 4.44089209850063e-16
+1 0 1 0 0 18 15 32 4.44089209850063e-16
+1 0 1 0 0 18 16 32 4.44089209850063e-16
+1 0 1 0 0 18 17 32 4.44089209850063e-16
+1 0 1 0 0 18 18 32 4.44089209850063e-16
+1 0 1 0 0 18 19 32 4.44089209850063e-16
+1 0 1 0 0 18 20 32 4.44089209850063e-16
+1 0 1 0 0 18 21 32 4.44089209850063e-16
+1 0 1 0 0 18 22 32 4.44089209850063e-16
+1 0 1 0 0 18 23 32 4.44089209850063e-16
+1 0 1 0 0 18 24 32 4.44089209850063e-16
+1 0 1 0 0 18 25 32 4.44089209850063e-16
+1 0 1 0 0 18 26 32 4.44089209850063e-16
+1 0 1 0 0 18 27 32 4.44089209850063e-16
+1 0 1 0 0 18 28 32 4.44089209850063e-16
+1 0 1 0 0 18 29 32 4.44089209850063e-16
+1 0 1 0 0 18 30 32 4.44089209850063e-16
+1 0 1 0 0 18 31 32 4.44089209850063e-16
+1 0 1 0 0 18 32 32 4.44089209850063e-16
+1 0 1 0 0 18 33 32 4.44089209850063e-16
+1 0 1 0 0 18 34 32 4.44089209850063e-16
+1 0 1 0 0 18 35 32 4.44089209850063e-16
+1 0 1 0 0 18 36 32 4.44089209850063e-16
+1 0 1 0 0 18 37 32 4.44089209850063e-16
+1 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 4.44089209850063e-16
+2 0 1 0 0 18 14 32 4.44089209850063e-16
+2 0 1 0 0 18 15 32 4.44089209850063e-16
+2 0 1 0 0 18 16 32 4.44089209850063e-16
+2 0 1 0 0 18 17 32 4.44089209850063e-16
+2 0 1 0 0 18 18 32 4.44089209850063e-16
+2 0 1 0 0 18 19 32 4.44089209850063e-16
+2 0 1 0 0 18 20 32 4.44089209850063e-16
+2 0 1 0 0 18 21 32 4.44089209850063e-16
+2 0 1 0 0 18 22 32 4.44089209850063e-16
+2 0 1 0 0 18 23 32 4.44089209850063e-16
+2 0 1 0 0 18 24 32 4.44089209850063e-16
+2 0 1 0 0 18 25 32 4.44089209850063e-16
+2 0 1 0 0 18 26 32 4.44089209850063e-16
+2 0 1 0 0 18 27 32 4.44089209850063e-16
+2 0 1 0 0 18 28 32 4.44089209850063e-16
+2 0 1 0 0 18 29 32 4.44089209850063e-16
+2 0 1 0 0 18 30 32 4.44089209850063e-16
+2 0 1 0 0 18 31 32 4.44089209850063e-16
+2 0 1 0 0 18 32 32 4.44089209850063e-16
+2 0 1 0 0 18 33 32 4.44089209850063e-16
+2 0 1 0 0 18 34 32 4.44089209850063e-16
+2 0 1 0 0 18 35 32 4.44089209850063e-16
+2 0 1 0 0 18 36 32 4.44089209850063e-16
+2 0 1 0 0 18 37 32 4.44089209850063e-16
+2 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 4.44089209850063e-16
+2 0 0 0 0 18 2 32 4.44089209850063e-16
+2 0 0 0 0 18 4 32 4.44089209850063e-16
+2 0 0 0 0 18 6 32 4.44089209850063e-16
+2 0 0 0 0 18 8 32 4.44089209850063e-16
+2 0 0 0 0 18 10 32 4.44089209850063e-16
+2 0 0 0 0 18 12 32 4.44089209850063e-16
+2 0 0 0 0 18 14 32 4.44089209850063e-16
+2 0 0 0 0 18 16 32 4.44089209850063e-16
+2 0 0 0 0 18 18 32 4.44089209850063e-16
+2 0 0 0 0 18 20 32 4.44089209850063e-16
+2 0 0 0 0 18 22 32 4.44089209850063e-16
+2 0 0 0 0 18 24 32 4.44089209850063e-16
+2 0 0 0 0 18 26 32 4.44089209850063e-16
+2 0 0 0 0 18 28 32 4.44089209850063e-16
+2 0 0 0 0 18 30 32 4.44089209850063e-16
+2 0 0 0 0 18 32 32 4.44089209850063e-16
+2 0 0 0 0 18 34 32 4.44089209850063e-16
+2 0 0 0 0 18 36 32 4.44089209850063e-16
+2 0 0 0 0 18 38 32 4.44089209850063e-16
+2 0 0 0 0 18 40 32 4.44089209850063e-16
+2 0 0 0 0 18 42 32 4.44089209850063e-16
+2 0 0 0 0 18 44 32 4.44089209850063e-16
+2 0 0 0 0 18 46 32 4.44089209850063e-16
+2 0 0 0 0 18 48 32 4.44089209850063e-16
+2 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 4.44089209850063e-16
+3 0 1 0 0 18 14 32 4.44089209850063e-16
+3 0 1 0 0 18 15 32 4.44089209850063e-16
+3 0 1 0 0 18 16 32 4.44089209850063e-16
+3 0 1 0 0 18 17 32 4.44089209850063e-16
+3 0 1 0 0 18 18 32 4.44089209850063e-16
+3 0 1 0 0 18 19 32 4.44089209850063e-16
+3 0 1 0 0 18 20 32 4.44089209850063e-16
+3 0 1 0 0 18 21 32 4.44089209850063e-16
+3 0 1 0 0 18 22 32 4.44089209850063e-16
+3 0 1 0 0 18 23 32 4.44089209850063e-16
+3 0 1 0 0 18 24 32 4.44089209850063e-16
+3 0 1 0 0 18 25 32 4.44089209850063e-16
+3 0 1 0 0 18 26 32 4.44089209850063e-16
+3 0 1 0 0 18 27 32 4.44089209850063e-16
+3 0 1 0 0 18 28 32 4.44089209850063e-16
+3 0 1 0 0 18 29 32 4.44089209850063e-16
+3 0 1 0 0 18 30 32 4.44089209850063e-16
+3 0 1 0 0 18 31 32 4.44089209850063e-16
+3 0 1 0 0 18 32 32 4.44089209850063e-16
+3 0 1 0 0 18 33 32 4.44089209850063e-16
+3 0 1 0 0 18 34 32 4.44089209850063e-16
+3 0 1 0 0 18 35 32 4.44089209850063e-16
+3 0 1 0 0 18 36 32 4.44089209850063e-16
+3 0 1 0 0 18 37 32 4.44089209850063e-16
+3 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 4.44089209850063e-16
+4 0 1 0 0 18 14 32 4.44089209850063e-16
+4 0 1 0 0 18 15 32 4.44089209850063e-16
+4 0 1 0 0 18 16 32 4.44089209850063e-16
+4 0 1 0 0 18 17 32 4.44089209850063e-16
+4 0 1 0 0 18 18 32 4.44089209850063e-16
+4 0 1 0 0 18 19 32 4.44089209850063e-16
+4 0 1 0 0 18 20 32 4.44089209850063e-16
+4 0 1 0 0 18 21 32 4.44089209850063e-16
+4 0 1 0 0 18 22 32 4.44089209850063e-16
+4 0 1 0 0 18 23 32 4.44089209850063e-16
+4 0 1 0 0 18 24 32 4.44089209850063e-16
+4 0 1 0 0 18 25 32 4.44089209850063e-16
+4 0 1 0 0 18 26 32 4.44089209850063e-16
+4 0 1 0 0 18 27 32 4.44089209850063e-16
+4 0 1 0 0 18 28 32 4.44089209850063e-16
+4 0 1 0 0 18 29 32 4.44089209850063e-16
+4 0 1 0 0 18 30 32 4.44089209850063e-16
+4 0 1 0 0 18 31 32 4.44089209850063e-16
+4 0 1 0 0 18 32 32 4.44089209850063e-16
+4 0 1 0 0 18 33 32 4.44089209850063e-16
+4 0 1 0 0 18 34 32 4.44089209850063e-16
+4 0 1 0 0 18 35 32 4.44089209850063e-16
+4 0 1 0 0 18 36 32 4.44089209850063e-16
+4 0 1 0 0 18 37 32 4.44089209850063e-16
+4 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 4.44089209850063e-16
+4 0 0 0 0 18 2 32 4.44089209850063e-16
+4 0 0 0 0 18 4 32 4.44089209850063e-16
+4 0 0 0 0 18 6 32 4.44089209850063e-16
+4 0 0 0 0 18 8 32 4.44089209850063e-16
+4 0 0 0 0 18 10 32 4.44089209850063e-16
+4 0 0 0 0 18 12 32 4.44089209850063e-16
+4 0 0 0 0 18 14 32 4.44089209850063e-16
+4 0 0 0 0 18 16 32 4.44089209850063e-16
+4 0 0 0 0 18 18 32 4.44089209850063e-16
+4 0 0 0 0 18 20 32 4.44089209850063e-16
+4 0 0 0 0 18 22 32 4.44089209850063e-16
+4 0 0 0 0 18 24 32 4.44089209850063e-16
+4 0 0 0 0 18 26 32 4.44089209850063e-16
+4 0 0 0 0 18 28 32 4.44089209850063e-16
+4 0 0 0 0 18 30 32 4.44089209850063e-16
+4 0 0 0 0 18 32 32 4.44089209850063e-16
+4 0 0 0 0 18 34 32 4.44089209850063e-16
+4 0 0 0 0 18 36 32 4.44089209850063e-16
+4 0 0 0 0 18 38 32 4.44089209850063e-16
+4 0 0 0 0 18 40 32 4.44089209850063e-16
+4 0 0 0 0 18 42 32 4.44089209850063e-16
+4 0 0 0 0 18 44 32 4.44089209850063e-16
+4 0 0 0 0 18 46 32 4.44089209850063e-16
+4 0 0 0 0 18 48 32 4.44089209850063e-16
+4 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 4.44089209850063e-16
+5 0 1 0 0 18 14 32 4.44089209850063e-16
+5 0 1 0 0 18 15 32 4.44089209850063e-16
+5 0 1 0 0 18 16 32 4.44089209850063e-16
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+5 0 1 0 0 18 18 32 4.44089209850063e-16
+5 0 1 0 0 18 19 32 4.44089209850063e-16
+5 0 1 0 0 18 20 32 4.44089209850063e-16
+5 0 1 0 0 18 21 32 4.44089209850063e-16
+5 0 1 0 0 18 22 32 4.44089209850063e-16
+5 0 1 0 0 18 23 32 4.44089209850063e-16
+5 0 1 0 0 18 24 32 4.44089209850063e-16
+5 0 1 0 0 18 25 32 4.44089209850063e-16
+5 0 1 0 0 18 26 32 4.44089209850063e-16
+5 0 1 0 0 18 27 32 4.44089209850063e-16
+5 0 1 0 0 18 28 32 4.44089209850063e-16
+5 0 1 0 0 18 29 32 4.44089209850063e-16
+5 0 1 0 0 18 30 32 4.44089209850063e-16
+5 0 1 0 0 18 31 32 4.44089209850063e-16
+5 0 1 0 0 18 32 32 4.44089209850063e-16
+5 0 1 0 0 18 33 32 4.44089209850063e-16
+5 0 1 0 0 18 34 32 4.44089209850063e-16
+5 0 1 0 0 18 35 32 4.44089209850063e-16
+5 0 1 0 0 18 36 32 4.44089209850063e-16
+5 0 1 0 0 18 37 32 4.44089209850063e-16
+5 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 4.44089209850063e-16
+6 0 1 0 0 18 14 32 4.44089209850063e-16
+6 0 1 0 0 18 15 32 4.44089209850063e-16
+6 0 1 0 0 18 16 32 4.44089209850063e-16
+6 0 1 0 0 18 17 32 4.44089209850063e-16
+6 0 1 0 0 18 18 32 4.44089209850063e-16
+6 0 1 0 0 18 19 32 4.44089209850063e-16
+6 0 1 0 0 18 20 32 4.44089209850063e-16
+6 0 1 0 0 18 21 32 4.44089209850063e-16
+6 0 1 0 0 18 22 32 4.44089209850063e-16
+6 0 1 0 0 18 23 32 4.44089209850063e-16
+6 0 1 0 0 18 24 32 4.44089209850063e-16
+6 0 1 0 0 18 25 32 4.44089209850063e-16
+6 0 1 0 0 18 26 32 4.44089209850063e-16
+6 0 1 0 0 18 27 32 4.44089209850063e-16
+6 0 1 0 0 18 28 32 4.44089209850063e-16
+6 0 1 0 0 18 29 32 4.44089209850063e-16
+6 0 1 0 0 18 30 32 4.44089209850063e-16
+6 0 1 0 0 18 31 32 4.44089209850063e-16
+6 0 1 0 0 18 32 32 4.44089209850063e-16
+6 0 1 0 0 18 33 32 4.44089209850063e-16
+6 0 1 0 0 18 34 32 4.44089209850063e-16
+6 0 1 0 0 18 35 32 4.44089209850063e-16
+6 0 1 0 0 18 36 32 4.44089209850063e-16
+6 0 1 0 0 18 37 32 4.44089209850063e-16
+6 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 4.44089209850063e-16
+6 0 0 0 0 18 2 32 4.44089209850063e-16
+6 0 0 0 0 18 4 32 4.44089209850063e-16
+6 0 0 0 0 18 6 32 4.44089209850063e-16
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+6 0 0 0 0 18 14 32 4.44089209850063e-16
+6 0 0 0 0 18 16 32 4.44089209850063e-16
+6 0 0 0 0 18 18 32 4.44089209850063e-16
+6 0 0 0 0 18 20 32 4.44089209850063e-16
+6 0 0 0 0 18 22 32 4.44089209850063e-16
+6 0 0 0 0 18 24 32 4.44089209850063e-16
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+6 0 0 0 0 18 28 32 4.44089209850063e-16
+6 0 0 0 0 18 30 32 4.44089209850063e-16
+6 0 0 0 0 18 32 32 4.44089209850063e-16
+6 0 0 0 0 18 34 32 4.44089209850063e-16
+6 0 0 0 0 18 36 32 4.44089209850063e-16
+6 0 0 0 0 18 38 32 4.44089209850063e-16
+6 0 0 0 0 18 40 32 4.44089209850063e-16
+6 0 0 0 0 18 42 32 4.44089209850063e-16
+6 0 0 0 0 18 44 32 4.44089209850063e-16
+6 0 0 0 0 18 46 32 4.44089209850063e-16
+6 0 0 0 0 18 48 32 4.44089209850063e-16
+6 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 4.44089209850063e-16
+7 0 1 0 0 18 14 32 4.44089209850063e-16
+7 0 1 0 0 18 15 32 4.44089209850063e-16
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+7 0 1 0 0 18 21 32 4.44089209850063e-16
+7 0 1 0 0 18 22 32 4.44089209850063e-16
+7 0 1 0 0 18 23 32 4.44089209850063e-16
+7 0 1 0 0 18 24 32 4.44089209850063e-16
+7 0 1 0 0 18 25 32 4.44089209850063e-16
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+7 0 1 0 0 18 27 32 4.44089209850063e-16
+7 0 1 0 0 18 28 32 4.44089209850063e-16
+7 0 1 0 0 18 29 32 4.44089209850063e-16
+7 0 1 0 0 18 30 32 4.44089209850063e-16
+7 0 1 0 0 18 31 32 4.44089209850063e-16
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+7 0 1 0 0 18 33 32 4.44089209850063e-16
+7 0 1 0 0 18 34 32 4.44089209850063e-16
+7 0 1 0 0 18 35 32 4.44089209850063e-16
+7 0 1 0 0 18 36 32 4.44089209850063e-16
+7 0 1 0 0 18 37 32 4.44089209850063e-16
+7 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 4.44089209850063e-16
+8 0 1 0 0 18 14 32 4.44089209850063e-16
+8 0 1 0 0 18 15 32 4.44089209850063e-16
+8 0 1 0 0 18 16 32 4.44089209850063e-16
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+8 0 1 0 0 18 18 32 4.44089209850063e-16
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+8 0 1 0 0 18 20 32 4.44089209850063e-16
+8 0 1 0 0 18 21 32 4.44089209850063e-16
+8 0 1 0 0 18 22 32 4.44089209850063e-16
+8 0 1 0 0 18 23 32 4.44089209850063e-16
+8 0 1 0 0 18 24 32 4.44089209850063e-16
+8 0 1 0 0 18 25 32 4.44089209850063e-16
+8 0 1 0 0 18 26 32 4.44089209850063e-16
+8 0 1 0 0 18 27 32 4.44089209850063e-16
+8 0 1 0 0 18 28 32 4.44089209850063e-16
+8 0 1 0 0 18 29 32 4.44089209850063e-16
+8 0 1 0 0 18 30 32 4.44089209850063e-16
+8 0 1 0 0 18 31 32 4.44089209850063e-16
+8 0 1 0 0 18 32 32 4.44089209850063e-16
+8 0 1 0 0 18 33 32 4.44089209850063e-16
+8 0 1 0 0 18 34 32 4.44089209850063e-16
+8 0 1 0 0 18 35 32 4.44089209850063e-16
+8 0 1 0 0 18 36 32 4.44089209850063e-16
+8 0 1 0 0 18 37 32 4.44089209850063e-16
+8 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 4.44089209850063e-16
+8 0 0 0 0 18 2 32 4.44089209850063e-16
+8 0 0 0 0 18 4 32 4.44089209850063e-16
+8 0 0 0 0 18 6 32 4.44089209850063e-16
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+8 0 0 0 0 18 14 32 4.44089209850063e-16
+8 0 0 0 0 18 16 32 4.44089209850063e-16
+8 0 0 0 0 18 18 32 4.44089209850063e-16
+8 0 0 0 0 18 20 32 4.44089209850063e-16
+8 0 0 0 0 18 22 32 4.44089209850063e-16
+8 0 0 0 0 18 24 32 4.44089209850063e-16
+8 0 0 0 0 18 26 32 4.44089209850063e-16
+8 0 0 0 0 18 28 32 4.44089209850063e-16
+8 0 0 0 0 18 30 32 4.44089209850063e-16
+8 0 0 0 0 18 32 32 4.44089209850063e-16
+8 0 0 0 0 18 34 32 4.44089209850063e-16
+8 0 0 0 0 18 36 32 4.44089209850063e-16
+8 0 0 0 0 18 38 32 4.44089209850063e-16
+8 0 0 0 0 18 40 32 4.44089209850063e-16
+8 0 0 0 0 18 42 32 4.44089209850063e-16
+8 0 0 0 0 18 44 32 4.44089209850063e-16
+8 0 0 0 0 18 46 32 4.44089209850063e-16
+8 0 0 0 0 18 48 32 4.44089209850063e-16
+8 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 4.44089209850063e-16
+9 0 1 0 0 18 14 32 4.44089209850063e-16
+9 0 1 0 0 18 15 32 4.44089209850063e-16
+9 0 1 0 0 18 16 32 4.44089209850063e-16
+9 0 1 0 0 18 17 32 4.44089209850063e-16
+9 0 1 0 0 18 18 32 4.44089209850063e-16
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+9 0 1 0 0 18 20 32 4.44089209850063e-16
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+9 0 1 0 0 18 22 32 4.44089209850063e-16
+9 0 1 0 0 18 23 32 4.44089209850063e-16
+9 0 1 0 0 18 24 32 4.44089209850063e-16
+9 0 1 0 0 18 25 32 4.44089209850063e-16
+9 0 1 0 0 18 26 32 4.44089209850063e-16
+9 0 1 0 0 18 27 32 4.44089209850063e-16
+9 0 1 0 0 18 28 32 4.44089209850063e-16
+9 0 1 0 0 18 29 32 4.44089209850063e-16
+9 0 1 0 0 18 30 32 4.44089209850063e-16
+9 0 1 0 0 18 31 32 4.44089209850063e-16
+9 0 1 0 0 18 32 32 4.44089209850063e-16
+9 0 1 0 0 18 33 32 4.44089209850063e-16
+9 0 1 0 0 18 34 32 4.44089209850063e-16
+9 0 1 0 0 18 35 32 4.44089209850063e-16
+9 0 1 0 0 18 36 32 4.44089209850063e-16
+9 0 1 0 0 18 37 32 4.44089209850063e-16
+9 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 4.44089209850063e-16
+10 0 1 0 0 18 14 32 4.44089209850063e-16
+10 0 1 0 0 18 15 32 4.44089209850063e-16
+10 0 1 0 0 18 16 32 4.44089209850063e-16
+10 0 1 0 0 18 17 32 4.44089209850063e-16
+10 0 1 0 0 18 18 32 4.44089209850063e-16
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+10 0 1 0 0 18 20 32 4.44089209850063e-16
+10 0 1 0 0 18 21 32 4.44089209850063e-16
+10 0 1 0 0 18 22 32 4.44089209850063e-16
+10 0 1 0 0 18 23 32 4.44089209850063e-16
+10 0 1 0 0 18 24 32 4.44089209850063e-16
+10 0 1 0 0 18 25 32 4.44089209850063e-16
+10 0 1 0 0 18 26 32 4.44089209850063e-16
+10 0 1 0 0 18 27 32 4.44089209850063e-16
+10 0 1 0 0 18 28 32 4.44089209850063e-16
+10 0 1 0 0 18 29 32 4.44089209850063e-16
+10 0 1 0 0 18 30 32 4.44089209850063e-16
+10 0 1 0 0 18 31 32 4.44089209850063e-16
+10 0 1 0 0 18 32 32 4.44089209850063e-16
+10 0 1 0 0 18 33 32 4.44089209850063e-16
+10 0 1 0 0 18 34 32 4.44089209850063e-16
+10 0 1 0 0 18 35 32 4.44089209850063e-16
+10 0 1 0 0 18 36 32 4.44089209850063e-16
+10 0 1 0 0 18 37 32 4.44089209850063e-16
+10 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 4.44089209850063e-16
+10 0 0 0 0 18 2 32 4.44089209850063e-16
+10 0 0 0 0 18 4 32 4.44089209850063e-16
+10 0 0 0 0 18 6 32 4.44089209850063e-16
+10 0 0 0 0 18 8 32 4.44089209850063e-16
+10 0 0 0 0 18 10 32 4.44089209850063e-16
+10 0 0 0 0 18 12 32 4.44089209850063e-16
+10 0 0 0 0 18 14 32 4.44089209850063e-16
+10 0 0 0 0 18 16 32 4.44089209850063e-16
+10 0 0 0 0 18 18 32 4.44089209850063e-16
+10 0 0 0 0 18 20 32 4.44089209850063e-16
+10 0 0 0 0 18 22 32 4.44089209850063e-16
+10 0 0 0 0 18 24 32 4.44089209850063e-16
+10 0 0 0 0 18 26 32 4.44089209850063e-16
+10 0 0 0 0 18 28 32 4.44089209850063e-16
+10 0 0 0 0 18 30 32 4.44089209850063e-16
+10 0 0 0 0 18 32 32 4.44089209850063e-16
+10 0 0 0 0 18 34 32 4.44089209850063e-16
+10 0 0 0 0 18 36 32 4.44089209850063e-16
+10 0 0 0 0 18 38 32 4.44089209850063e-16
+10 0 0 0 0 18 40 32 4.44089209850063e-16
+10 0 0 0 0 18 42 32 4.44089209850063e-16
+10 0 0 0 0 18 44 32 4.44089209850063e-16
+10 0 0 0 0 18 46 32 4.44089209850063e-16
+10 0 0 0 0 18 48 32 4.44089209850063e-16
+10 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 4.44089209850063e-16
+11 0 1 0 0 18 14 32 4.44089209850063e-16
+11 0 1 0 0 18 15 32 4.44089209850063e-16
+11 0 1 0 0 18 16 32 4.44089209850063e-16
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+11 0 1 0 0 18 18 32 4.44089209850063e-16
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+11 0 1 0 0 18 20 32 4.44089209850063e-16
+11 0 1 0 0 18 21 32 4.44089209850063e-16
+11 0 1 0 0 18 22 32 4.44089209850063e-16
+11 0 1 0 0 18 23 32 4.44089209850063e-16
+11 0 1 0 0 18 24 32 4.44089209850063e-16
+11 0 1 0 0 18 25 32 4.44089209850063e-16
+11 0 1 0 0 18 26 32 4.44089209850063e-16
+11 0 1 0 0 18 27 32 4.44089209850063e-16
+11 0 1 0 0 18 28 32 4.44089209850063e-16
+11 0 1 0 0 18 29 32 4.44089209850063e-16
+11 0 1 0 0 18 30 32 4.44089209850063e-16
+11 0 1 0 0 18 31 32 4.44089209850063e-16
+11 0 1 0 0 18 32 32 4.44089209850063e-16
+11 0 1 0 0 18 33 32 4.44089209850063e-16
+11 0 1 0 0 18 34 32 4.44089209850063e-16
+11 0 1 0 0 18 35 32 4.44089209850063e-16
+11 0 1 0 0 18 36 32 4.44089209850063e-16
+11 0 1 0 0 18 37 32 4.44089209850063e-16
+11 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 4.44089209850063e-16
+12 0 1 0 0 18 14 32 4.44089209850063e-16
+12 0 1 0 0 18 15 32 4.44089209850063e-16
+12 0 1 0 0 18 16 32 4.44089209850063e-16
+12 0 1 0 0 18 17 32 4.44089209850063e-16
+12 0 1 0 0 18 18 32 4.44089209850063e-16
+12 0 1 0 0 18 19 32 4.44089209850063e-16
+12 0 1 0 0 18 20 32 4.44089209850063e-16
+12 0 1 0 0 18 21 32 4.44089209850063e-16
+12 0 1 0 0 18 22 32 4.44089209850063e-16
+12 0 1 0 0 18 23 32 4.44089209850063e-16
+12 0 1 0 0 18 24 32 4.44089209850063e-16
+12 0 1 0 0 18 25 32 4.44089209850063e-16
+12 0 1 0 0 18 26 32 4.44089209850063e-16
+12 0 1 0 0 18 27 32 4.44089209850063e-16
+12 0 1 0 0 18 28 32 4.44089209850063e-16
+12 0 1 0 0 18 29 32 4.44089209850063e-16
+12 0 1 0 0 18 30 32 4.44089209850063e-16
+12 0 1 0 0 18 31 32 4.44089209850063e-16
+12 0 1 0 0 18 32 32 4.44089209850063e-16
+12 0 1 0 0 18 33 32 4.44089209850063e-16
+12 0 1 0 0 18 34 32 4.44089209850063e-16
+12 0 1 0 0 18 35 32 4.44089209850063e-16
+12 0 1 0 0 18 36 32 4.44089209850063e-16
+12 0 1 0 0 18 37 32 4.44089209850063e-16
+12 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 4.44089209850063e-16
+12 0 0 0 0 18 2 32 4.44089209850063e-16
+12 0 0 0 0 18 4 32 4.44089209850063e-16
+12 0 0 0 0 18 6 32 4.44089209850063e-16
+12 0 0 0 0 18 8 32 4.44089209850063e-16
+12 0 0 0 0 18 10 32 4.44089209850063e-16
+12 0 0 0 0 18 12 32 4.44089209850063e-16
+12 0 0 0 0 18 14 32 4.44089209850063e-16
+12 0 0 0 0 18 16 32 4.44089209850063e-16
+12 0 0 0 0 18 18 32 4.44089209850063e-16
+12 0 0 0 0 18 20 32 4.44089209850063e-16
+12 0 0 0 0 18 22 32 4.44089209850063e-16
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 18 26 32 4.44089209850063e-16
+12 0 0 0 0 18 28 32 4.44089209850063e-16
+12 0 0 0 0 18 30 32 4.44089209850063e-16
+12 0 0 0 0 18 32 32 4.44089209850063e-16
+12 0 0 0 0 18 34 32 4.44089209850063e-16
+12 0 0 0 0 18 36 32 4.44089209850063e-16
+12 0 0 0 0 18 38 32 4.44089209850063e-16
+12 0 0 0 0 18 40 32 4.44089209850063e-16
+12 0 0 0 0 18 42 32 4.44089209850063e-16
+12 0 0 0 0 18 44 32 4.44089209850063e-16
+12 0 0 0 0 18 46 32 4.44089209850063e-16
+12 0 0 0 0 18 48 32 4.44089209850063e-16
+12 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.zl
new file mode 100644
index 000000000..2a73fe1f2
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 4.44089209850063e-16
+0 0 1 0 0 18 24 18 4.44089209850063e-16
+0 0 1 0 0 18 24 19 4.44089209850063e-16
+0 0 1 0 0 18 24 20 4.44089209850063e-16
+0 0 1 0 0 18 24 21 4.44089209850063e-16
+0 0 1 0 0 18 24 22 4.44089209850063e-16
+0 0 1 0 0 18 24 23 4.44089209850063e-16
+0 0 1 0 0 18 24 24 4.44089209850063e-16
+0 0 1 0 0 18 24 25 4.44089209850063e-16
+0 0 1 0 0 18 24 26 4.44089209850063e-16
+0 0 1 0 0 18 24 27 4.44089209850063e-16
+0 0 1 0 0 18 24 28 4.44089209850063e-16
+0 0 1 0 0 18 24 29 4.44089209850063e-16
+0 0 1 0 0 18 24 30 4.44089209850063e-16
+0 0 1 0 0 18 24 31 4.44089209850063e-16
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 18 24 33 4.44089209850063e-16
+0 0 1 0 0 18 24 34 4.44089209850063e-16
+0 0 1 0 0 18 24 35 4.44089209850063e-16
+0 0 1 0 0 18 24 36 4.44089209850063e-16
+0 0 1 0 0 18 24 37 4.44089209850063e-16
+0 0 1 0 0 18 24 38 4.44089209850063e-16
+0 0 1 0 0 18 24 39 4.44089209850063e-16
+0 0 1 0 0 18 24 40 4.44089209850063e-16
+0 0 1 0 0 18 24 41 4.44089209850063e-16
+0 0 1 0 0 18 24 42 4.44089209850063e-16
+0 0 1 0 0 18 24 43 4.44089209850063e-16
+0 0 1 0 0 18 24 44 4.44089209850063e-16
+0 0 1 0 0 18 24 45 4.44089209850063e-16
+0 0 1 0 0 18 24 46 4.44089209850063e-16
+0 0 1 0 0 18 24 47 4.44089209850063e-16
+0 0 1 0 0 18 24 48 4.44089209850063e-16
+0 0 1 0 0 18 24 49 4.44089209850063e-16
+0 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 4.44089209850063e-16
+0 0 0 0 0 18 24 2 4.44089209850063e-16
+0 0 0 0 0 18 24 4 4.44089209850063e-16
+0 0 0 0 0 18 24 6 4.44089209850063e-16
+0 0 0 0 0 18 24 8 4.44089209850063e-16
+0 0 0 0 0 18 24 10 4.44089209850063e-16
+0 0 0 0 0 18 24 12 4.44089209850063e-16
+0 0 0 0 0 18 24 14 4.44089209850063e-16
+0 0 0 0 0 18 24 16 4.44089209850063e-16
+0 0 0 0 0 18 24 18 4.44089209850063e-16
+0 0 0 0 0 18 24 20 4.44089209850063e-16
+0 0 0 0 0 18 24 22 4.44089209850063e-16
+0 0 0 0 0 18 24 24 4.44089209850063e-16
+0 0 0 0 0 18 24 26 4.44089209850063e-16
+0 0 0 0 0 18 24 28 4.44089209850063e-16
+0 0 0 0 0 18 24 30 4.44089209850063e-16
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 18 24 34 4.44089209850063e-16
+0 0 0 0 0 18 24 36 4.44089209850063e-16
+0 0 0 0 0 18 24 38 4.44089209850063e-16
+0 0 0 0 0 18 24 40 4.44089209850063e-16
+0 0 0 0 0 18 24 42 4.44089209850063e-16
+0 0 0 0 0 18 24 44 4.44089209850063e-16
+0 0 0 0 0 18 24 46 4.44089209850063e-16
+0 0 0 0 0 18 24 48 4.44089209850063e-16
+0 0 0 0 0 18 24 50 4.44089209850063e-16
+0 0 0 0 0 18 24 52 4.44089209850063e-16
+0 0 0 0 0 18 24 54 4.44089209850063e-16
+0 0 0 0 0 18 24 56 4.44089209850063e-16
+0 0 0 0 0 18 24 58 4.44089209850063e-16
+0 0 0 0 0 18 24 60 4.44089209850063e-16
+0 0 0 0 0 18 24 62 4.44089209850063e-16
+0 0 0 0 0 18 24 64 4.44089209850063e-16
+0 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 4.44089209850063e-16
+1 0 1 0 0 18 24 18 4.44089209850063e-16
+1 0 1 0 0 18 24 19 4.44089209850063e-16
+1 0 1 0 0 18 24 20 4.44089209850063e-16
+1 0 1 0 0 18 24 21 4.44089209850063e-16
+1 0 1 0 0 18 24 22 4.44089209850063e-16
+1 0 1 0 0 18 24 23 4.44089209850063e-16
+1 0 1 0 0 18 24 24 4.44089209850063e-16
+1 0 1 0 0 18 24 25 4.44089209850063e-16
+1 0 1 0 0 18 24 26 4.44089209850063e-16
+1 0 1 0 0 18 24 27 4.44089209850063e-16
+1 0 1 0 0 18 24 28 4.44089209850063e-16
+1 0 1 0 0 18 24 29 4.44089209850063e-16
+1 0 1 0 0 18 24 30 4.44089209850063e-16
+1 0 1 0 0 18 24 31 4.44089209850063e-16
+1 0 1 0 0 18 24 32 4.44089209850063e-16
+1 0 1 0 0 18 24 33 4.44089209850063e-16
+1 0 1 0 0 18 24 34 4.44089209850063e-16
+1 0 1 0 0 18 24 35 4.44089209850063e-16
+1 0 1 0 0 18 24 36 4.44089209850063e-16
+1 0 1 0 0 18 24 37 4.44089209850063e-16
+1 0 1 0 0 18 24 38 4.44089209850063e-16
+1 0 1 0 0 18 24 39 4.44089209850063e-16
+1 0 1 0 0 18 24 40 4.44089209850063e-16
+1 0 1 0 0 18 24 41 4.44089209850063e-16
+1 0 1 0 0 18 24 42 4.44089209850063e-16
+1 0 1 0 0 18 24 43 4.44089209850063e-16
+1 0 1 0 0 18 24 44 4.44089209850063e-16
+1 0 1 0 0 18 24 45 4.44089209850063e-16
+1 0 1 0 0 18 24 46 4.44089209850063e-16
+1 0 1 0 0 18 24 47 4.44089209850063e-16
+1 0 1 0 0 18 24 48 4.44089209850063e-16
+1 0 1 0 0 18 24 49 4.44089209850063e-16
+1 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 4.44089209850063e-16
+2 0 1 0 0 18 24 18 4.44089209850063e-16
+2 0 1 0 0 18 24 19 4.44089209850063e-16
+2 0 1 0 0 18 24 20 4.44089209850063e-16
+2 0 1 0 0 18 24 21 4.44089209850063e-16
+2 0 1 0 0 18 24 22 4.44089209850063e-16
+2 0 1 0 0 18 24 23 4.44089209850063e-16
+2 0 1 0 0 18 24 24 4.44089209850063e-16
+2 0 1 0 0 18 24 25 4.44089209850063e-16
+2 0 1 0 0 18 24 26 4.44089209850063e-16
+2 0 1 0 0 18 24 27 4.44089209850063e-16
+2 0 1 0 0 18 24 28 4.44089209850063e-16
+2 0 1 0 0 18 24 29 4.44089209850063e-16
+2 0 1 0 0 18 24 30 4.44089209850063e-16
+2 0 1 0 0 18 24 31 4.44089209850063e-16
+2 0 1 0 0 18 24 32 4.44089209850063e-16
+2 0 1 0 0 18 24 33 4.44089209850063e-16
+2 0 1 0 0 18 24 34 4.44089209850063e-16
+2 0 1 0 0 18 24 35 4.44089209850063e-16
+2 0 1 0 0 18 24 36 4.44089209850063e-16
+2 0 1 0 0 18 24 37 4.44089209850063e-16
+2 0 1 0 0 18 24 38 4.44089209850063e-16
+2 0 1 0 0 18 24 39 4.44089209850063e-16
+2 0 1 0 0 18 24 40 4.44089209850063e-16
+2 0 1 0 0 18 24 41 4.44089209850063e-16
+2 0 1 0 0 18 24 42 4.44089209850063e-16
+2 0 1 0 0 18 24 43 4.44089209850063e-16
+2 0 1 0 0 18 24 44 4.44089209850063e-16
+2 0 1 0 0 18 24 45 4.44089209850063e-16
+2 0 1 0 0 18 24 46 4.44089209850063e-16
+2 0 1 0 0 18 24 47 4.44089209850063e-16
+2 0 1 0 0 18 24 48 4.44089209850063e-16
+2 0 1 0 0 18 24 49 4.44089209850063e-16
+2 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 4.44089209850063e-16
+2 0 0 0 0 18 24 2 4.44089209850063e-16
+2 0 0 0 0 18 24 4 4.44089209850063e-16
+2 0 0 0 0 18 24 6 4.44089209850063e-16
+2 0 0 0 0 18 24 8 4.44089209850063e-16
+2 0 0 0 0 18 24 10 4.44089209850063e-16
+2 0 0 0 0 18 24 12 4.44089209850063e-16
+2 0 0 0 0 18 24 14 4.44089209850063e-16
+2 0 0 0 0 18 24 16 4.44089209850063e-16
+2 0 0 0 0 18 24 18 4.44089209850063e-16
+2 0 0 0 0 18 24 20 4.44089209850063e-16
+2 0 0 0 0 18 24 22 4.44089209850063e-16
+2 0 0 0 0 18 24 24 4.44089209850063e-16
+2 0 0 0 0 18 24 26 4.44089209850063e-16
+2 0 0 0 0 18 24 28 4.44089209850063e-16
+2 0 0 0 0 18 24 30 4.44089209850063e-16
+2 0 0 0 0 18 24 32 4.44089209850063e-16
+2 0 0 0 0 18 24 34 4.44089209850063e-16
+2 0 0 0 0 18 24 36 4.44089209850063e-16
+2 0 0 0 0 18 24 38 4.44089209850063e-16
+2 0 0 0 0 18 24 40 4.44089209850063e-16
+2 0 0 0 0 18 24 42 4.44089209850063e-16
+2 0 0 0 0 18 24 44 4.44089209850063e-16
+2 0 0 0 0 18 24 46 4.44089209850063e-16
+2 0 0 0 0 18 24 48 4.44089209850063e-16
+2 0 0 0 0 18 24 50 4.44089209850063e-16
+2 0 0 0 0 18 24 52 4.44089209850063e-16
+2 0 0 0 0 18 24 54 4.44089209850063e-16
+2 0 0 0 0 18 24 56 4.44089209850063e-16
+2 0 0 0 0 18 24 58 4.44089209850063e-16
+2 0 0 0 0 18 24 60 4.44089209850063e-16
+2 0 0 0 0 18 24 62 4.44089209850063e-16
+2 0 0 0 0 18 24 64 4.44089209850063e-16
+2 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 4.44089209850063e-16
+3 0 1 0 0 18 24 18 4.44089209850063e-16
+3 0 1 0 0 18 24 19 4.44089209850063e-16
+3 0 1 0 0 18 24 20 4.44089209850063e-16
+3 0 1 0 0 18 24 21 4.44089209850063e-16
+3 0 1 0 0 18 24 22 4.44089209850063e-16
+3 0 1 0 0 18 24 23 4.44089209850063e-16
+3 0 1 0 0 18 24 24 4.44089209850063e-16
+3 0 1 0 0 18 24 25 4.44089209850063e-16
+3 0 1 0 0 18 24 26 4.44089209850063e-16
+3 0 1 0 0 18 24 27 4.44089209850063e-16
+3 0 1 0 0 18 24 28 4.44089209850063e-16
+3 0 1 0 0 18 24 29 4.44089209850063e-16
+3 0 1 0 0 18 24 30 4.44089209850063e-16
+3 0 1 0 0 18 24 31 4.44089209850063e-16
+3 0 1 0 0 18 24 32 4.44089209850063e-16
+3 0 1 0 0 18 24 33 4.44089209850063e-16
+3 0 1 0 0 18 24 34 4.44089209850063e-16
+3 0 1 0 0 18 24 35 4.44089209850063e-16
+3 0 1 0 0 18 24 36 4.44089209850063e-16
+3 0 1 0 0 18 24 37 4.44089209850063e-16
+3 0 1 0 0 18 24 38 4.44089209850063e-16
+3 0 1 0 0 18 24 39 4.44089209850063e-16
+3 0 1 0 0 18 24 40 4.44089209850063e-16
+3 0 1 0 0 18 24 41 4.44089209850063e-16
+3 0 1 0 0 18 24 42 4.44089209850063e-16
+3 0 1 0 0 18 24 43 4.44089209850063e-16
+3 0 1 0 0 18 24 44 4.44089209850063e-16
+3 0 1 0 0 18 24 45 4.44089209850063e-16
+3 0 1 0 0 18 24 46 4.44089209850063e-16
+3 0 1 0 0 18 24 47 4.44089209850063e-16
+3 0 1 0 0 18 24 48 4.44089209850063e-16
+3 0 1 0 0 18 24 49 4.44089209850063e-16
+3 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 4.44089209850063e-16
+4 0 1 0 0 18 24 18 4.44089209850063e-16
+4 0 1 0 0 18 24 19 4.44089209850063e-16
+4 0 1 0 0 18 24 20 4.44089209850063e-16
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+4 0 1 0 0 18 24 24 4.44089209850063e-16
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+4 0 1 0 0 18 24 26 4.44089209850063e-16
+4 0 1 0 0 18 24 27 4.44089209850063e-16
+4 0 1 0 0 18 24 28 4.44089209850063e-16
+4 0 1 0 0 18 24 29 4.44089209850063e-16
+4 0 1 0 0 18 24 30 4.44089209850063e-16
+4 0 1 0 0 18 24 31 4.44089209850063e-16
+4 0 1 0 0 18 24 32 4.44089209850063e-16
+4 0 1 0 0 18 24 33 4.44089209850063e-16
+4 0 1 0 0 18 24 34 4.44089209850063e-16
+4 0 1 0 0 18 24 35 4.44089209850063e-16
+4 0 1 0 0 18 24 36 4.44089209850063e-16
+4 0 1 0 0 18 24 37 4.44089209850063e-16
+4 0 1 0 0 18 24 38 4.44089209850063e-16
+4 0 1 0 0 18 24 39 4.44089209850063e-16
+4 0 1 0 0 18 24 40 4.44089209850063e-16
+4 0 1 0 0 18 24 41 4.44089209850063e-16
+4 0 1 0 0 18 24 42 4.44089209850063e-16
+4 0 1 0 0 18 24 43 4.44089209850063e-16
+4 0 1 0 0 18 24 44 4.44089209850063e-16
+4 0 1 0 0 18 24 45 4.44089209850063e-16
+4 0 1 0 0 18 24 46 4.44089209850063e-16
+4 0 1 0 0 18 24 47 4.44089209850063e-16
+4 0 1 0 0 18 24 48 4.44089209850063e-16
+4 0 1 0 0 18 24 49 4.44089209850063e-16
+4 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 4.44089209850063e-16
+4 0 0 0 0 18 24 2 4.44089209850063e-16
+4 0 0 0 0 18 24 4 4.44089209850063e-16
+4 0 0 0 0 18 24 6 4.44089209850063e-16
+4 0 0 0 0 18 24 8 4.44089209850063e-16
+4 0 0 0 0 18 24 10 4.44089209850063e-16
+4 0 0 0 0 18 24 12 4.44089209850063e-16
+4 0 0 0 0 18 24 14 4.44089209850063e-16
+4 0 0 0 0 18 24 16 4.44089209850063e-16
+4 0 0 0 0 18 24 18 4.44089209850063e-16
+4 0 0 0 0 18 24 20 4.44089209850063e-16
+4 0 0 0 0 18 24 22 4.44089209850063e-16
+4 0 0 0 0 18 24 24 4.44089209850063e-16
+4 0 0 0 0 18 24 26 4.44089209850063e-16
+4 0 0 0 0 18 24 28 4.44089209850063e-16
+4 0 0 0 0 18 24 30 4.44089209850063e-16
+4 0 0 0 0 18 24 32 4.44089209850063e-16
+4 0 0 0 0 18 24 34 4.44089209850063e-16
+4 0 0 0 0 18 24 36 4.44089209850063e-16
+4 0 0 0 0 18 24 38 4.44089209850063e-16
+4 0 0 0 0 18 24 40 4.44089209850063e-16
+4 0 0 0 0 18 24 42 4.44089209850063e-16
+4 0 0 0 0 18 24 44 4.44089209850063e-16
+4 0 0 0 0 18 24 46 4.44089209850063e-16
+4 0 0 0 0 18 24 48 4.44089209850063e-16
+4 0 0 0 0 18 24 50 4.44089209850063e-16
+4 0 0 0 0 18 24 52 4.44089209850063e-16
+4 0 0 0 0 18 24 54 4.44089209850063e-16
+4 0 0 0 0 18 24 56 4.44089209850063e-16
+4 0 0 0 0 18 24 58 4.44089209850063e-16
+4 0 0 0 0 18 24 60 4.44089209850063e-16
+4 0 0 0 0 18 24 62 4.44089209850063e-16
+4 0 0 0 0 18 24 64 4.44089209850063e-16
+4 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 4.44089209850063e-16
+5 0 1 0 0 18 24 18 4.44089209850063e-16
+5 0 1 0 0 18 24 19 4.44089209850063e-16
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+5 0 1 0 0 18 24 28 4.44089209850063e-16
+5 0 1 0 0 18 24 29 4.44089209850063e-16
+5 0 1 0 0 18 24 30 4.44089209850063e-16
+5 0 1 0 0 18 24 31 4.44089209850063e-16
+5 0 1 0 0 18 24 32 4.44089209850063e-16
+5 0 1 0 0 18 24 33 4.44089209850063e-16
+5 0 1 0 0 18 24 34 4.44089209850063e-16
+5 0 1 0 0 18 24 35 4.44089209850063e-16
+5 0 1 0 0 18 24 36 4.44089209850063e-16
+5 0 1 0 0 18 24 37 4.44089209850063e-16
+5 0 1 0 0 18 24 38 4.44089209850063e-16
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+5 0 1 0 0 18 24 49 4.44089209850063e-16
+5 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 4.44089209850063e-16
+6 0 1 0 0 18 24 18 4.44089209850063e-16
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+6 0 1 0 0 18 24 49 4.44089209850063e-16
+6 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 4.44089209850063e-16
+6 0 0 0 0 18 24 2 4.44089209850063e-16
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+6 0 0 0 0 18 24 64 4.44089209850063e-16
+6 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 4.44089209850063e-16
+7 0 1 0 0 18 24 18 4.44089209850063e-16
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+7 0 1 0 0 18 24 49 4.44089209850063e-16
+7 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 4.44089209850063e-16
+8 0 1 0 0 18 24 18 4.44089209850063e-16
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+8 0 1 0 0 18 24 49 4.44089209850063e-16
+8 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 4.44089209850063e-16
+8 0 0 0 0 18 24 2 4.44089209850063e-16
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+8 0 0 0 0 18 24 64 4.44089209850063e-16
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 4.44089209850063e-16
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+9 0 1 0 0 18 24 49 4.44089209850063e-16
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 4.44089209850063e-16
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+10 0 1 0 0 18 24 49 4.44089209850063e-16
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+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 4.44089209850063e-16
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+10 0 0 0 0 18 24 64 4.44089209850063e-16
+10 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 4.44089209850063e-16
+11 0 1 0 0 18 24 18 4.44089209850063e-16
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+11 0 1 0 0 18 24 49 4.44089209850063e-16
+11 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 4.44089209850063e-16
+12 0 1 0 0 18 24 18 4.44089209850063e-16
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+12 0 1 0 0 18 24 45 4.44089209850063e-16
+12 0 1 0 0 18 24 46 4.44089209850063e-16
+12 0 1 0 0 18 24 47 4.44089209850063e-16
+12 0 1 0 0 18 24 48 4.44089209850063e-16
+12 0 1 0 0 18 24 49 4.44089209850063e-16
+12 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 4.44089209850063e-16
+12 0 0 0 0 18 24 2 4.44089209850063e-16
+12 0 0 0 0 18 24 4 4.44089209850063e-16
+12 0 0 0 0 18 24 6 4.44089209850063e-16
+12 0 0 0 0 18 24 8 4.44089209850063e-16
+12 0 0 0 0 18 24 10 4.44089209850063e-16
+12 0 0 0 0 18 24 12 4.44089209850063e-16
+12 0 0 0 0 18 24 14 4.44089209850063e-16
+12 0 0 0 0 18 24 16 4.44089209850063e-16
+12 0 0 0 0 18 24 18 4.44089209850063e-16
+12 0 0 0 0 18 24 20 4.44089209850063e-16
+12 0 0 0 0 18 24 22 4.44089209850063e-16
+12 0 0 0 0 18 24 24 4.44089209850063e-16
+12 0 0 0 0 18 24 26 4.44089209850063e-16
+12 0 0 0 0 18 24 28 4.44089209850063e-16
+12 0 0 0 0 18 24 30 4.44089209850063e-16
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 18 24 34 4.44089209850063e-16
+12 0 0 0 0 18 24 36 4.44089209850063e-16
+12 0 0 0 0 18 24 38 4.44089209850063e-16
+12 0 0 0 0 18 24 40 4.44089209850063e-16
+12 0 0 0 0 18 24 42 4.44089209850063e-16
+12 0 0 0 0 18 24 44 4.44089209850063e-16
+12 0 0 0 0 18 24 46 4.44089209850063e-16
+12 0 0 0 0 18 24 48 4.44089209850063e-16
+12 0 0 0 0 18 24 50 4.44089209850063e-16
+12 0 0 0 0 18 24 52 4.44089209850063e-16
+12 0 0 0 0 18 24 54 4.44089209850063e-16
+12 0 0 0 0 18 24 56 4.44089209850063e-16
+12 0 0 0 0 18 24 58 4.44089209850063e-16
+12 0 0 0 0 18 24 60 4.44089209850063e-16
+12 0 0 0 0 18 24 62 4.44089209850063e-16
+12 0 0 0 0 18 24 64 4.44089209850063e-16
+12 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.xl
new file mode 100644
index 000000000..463d316c5
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -4.44089209850063e-16
+0 0 1 0 0 10 24 32 -4.44089209850063e-16
+0 0 1 0 0 11 24 32 -4.44089209850063e-16
+0 0 1 0 0 12 24 32 -4.44089209850063e-16
+0 0 1 0 0 13 24 32 -4.44089209850063e-16
+0 0 1 0 0 14 24 32 -4.44089209850063e-16
+0 0 1 0 0 15 24 32 -4.44089209850063e-16
+0 0 1 0 0 16 24 32 -4.44089209850063e-16
+0 0 1 0 0 17 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 19 24 32 -4.44089209850063e-16
+0 0 1 0 0 20 24 32 -4.44089209850063e-16
+0 0 1 0 0 21 24 32 -4.44089209850063e-16
+0 0 1 0 0 22 24 32 -4.44089209850063e-16
+0 0 1 0 0 23 24 32 -4.44089209850063e-16
+0 0 1 0 0 24 24 32 -4.44089209850063e-16
+0 0 1 0 0 25 24 32 -4.44089209850063e-16
+0 0 1 0 0 26 24 32 -4.44089209850063e-16
+0 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -4.44089209850063e-16
+0 0 0 0 0 2 24 32 -4.44089209850063e-16
+0 0 0 0 0 4 24 32 -4.44089209850063e-16
+0 0 0 0 0 6 24 32 -4.44089209850063e-16
+0 0 0 0 0 8 24 32 -4.44089209850063e-16
+0 0 0 0 0 10 24 32 -4.44089209850063e-16
+0 0 0 0 0 12 24 32 -4.44089209850063e-16
+0 0 0 0 0 14 24 32 -4.44089209850063e-16
+0 0 0 0 0 16 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 20 24 32 -4.44089209850063e-16
+0 0 0 0 0 22 24 32 -4.44089209850063e-16
+0 0 0 0 0 24 24 32 -4.44089209850063e-16
+0 0 0 0 0 26 24 32 -4.44089209850063e-16
+0 0 0 0 0 28 24 32 -4.44089209850063e-16
+0 0 0 0 0 30 24 32 -4.44089209850063e-16
+0 0 0 0 0 32 24 32 -4.44089209850063e-16
+0 0 0 0 0 34 24 32 -4.44089209850063e-16
+0 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -4.44089209850063e-16
+1 0 1 0 0 10 24 32 -4.44089209850063e-16
+1 0 1 0 0 11 24 32 -4.44089209850063e-16
+1 0 1 0 0 12 24 32 -4.44089209850063e-16
+1 0 1 0 0 13 24 32 -4.44089209850063e-16
+1 0 1 0 0 14 24 32 -4.44089209850063e-16
+1 0 1 0 0 15 24 32 -4.44089209850063e-16
+1 0 1 0 0 16 24 32 -4.44089209850063e-16
+1 0 1 0 0 17 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 19 24 32 -4.44089209850063e-16
+1 0 1 0 0 20 24 32 -4.44089209850063e-16
+1 0 1 0 0 21 24 32 -4.44089209850063e-16
+1 0 1 0 0 22 24 32 -4.44089209850063e-16
+1 0 1 0 0 23 24 32 -4.44089209850063e-16
+1 0 1 0 0 24 24 32 -4.44089209850063e-16
+1 0 1 0 0 25 24 32 -4.44089209850063e-16
+1 0 1 0 0 26 24 32 -4.44089209850063e-16
+1 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 -4.44089209850063e-16
+2 0 1 0 0 10 24 32 -4.44089209850063e-16
+2 0 1 0 0 11 24 32 -4.44089209850063e-16
+2 0 1 0 0 12 24 32 -4.44089209850063e-16
+2 0 1 0 0 13 24 32 -4.44089209850063e-16
+2 0 1 0 0 14 24 32 -4.44089209850063e-16
+2 0 1 0 0 15 24 32 -4.44089209850063e-16
+2 0 1 0 0 16 24 32 -4.44089209850063e-16
+2 0 1 0 0 17 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 19 24 32 -4.44089209850063e-16
+2 0 1 0 0 20 24 32 -4.44089209850063e-16
+2 0 1 0 0 21 24 32 -4.44089209850063e-16
+2 0 1 0 0 22 24 32 -4.44089209850063e-16
+2 0 1 0 0 23 24 32 -4.44089209850063e-16
+2 0 1 0 0 24 24 32 -4.44089209850063e-16
+2 0 1 0 0 25 24 32 -4.44089209850063e-16
+2 0 1 0 0 26 24 32 -4.44089209850063e-16
+2 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -4.44089209850063e-16
+2 0 0 0 0 2 24 32 -4.44089209850063e-16
+2 0 0 0 0 4 24 32 -4.44089209850063e-16
+2 0 0 0 0 6 24 32 -4.44089209850063e-16
+2 0 0 0 0 8 24 32 -4.44089209850063e-16
+2 0 0 0 0 10 24 32 -4.44089209850063e-16
+2 0 0 0 0 12 24 32 -4.44089209850063e-16
+2 0 0 0 0 14 24 32 -4.44089209850063e-16
+2 0 0 0 0 16 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 20 24 32 -4.44089209850063e-16
+2 0 0 0 0 22 24 32 -4.44089209850063e-16
+2 0 0 0 0 24 24 32 -4.44089209850063e-16
+2 0 0 0 0 26 24 32 -4.44089209850063e-16
+2 0 0 0 0 28 24 32 -4.44089209850063e-16
+2 0 0 0 0 30 24 32 -4.44089209850063e-16
+2 0 0 0 0 32 24 32 -4.44089209850063e-16
+2 0 0 0 0 34 24 32 -4.44089209850063e-16
+2 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 -4.44089209850063e-16
+3 0 1 0 0 10 24 32 -4.44089209850063e-16
+3 0 1 0 0 11 24 32 -4.44089209850063e-16
+3 0 1 0 0 12 24 32 -4.44089209850063e-16
+3 0 1 0 0 13 24 32 -4.44089209850063e-16
+3 0 1 0 0 14 24 32 -4.44089209850063e-16
+3 0 1 0 0 15 24 32 -4.44089209850063e-16
+3 0 1 0 0 16 24 32 -4.44089209850063e-16
+3 0 1 0 0 17 24 32 -4.44089209850063e-16
+3 0 1 0 0 18 24 32 -4.44089209850063e-16
+3 0 1 0 0 19 24 32 -4.44089209850063e-16
+3 0 1 0 0 20 24 32 -4.44089209850063e-16
+3 0 1 0 0 21 24 32 -4.44089209850063e-16
+3 0 1 0 0 22 24 32 -4.44089209850063e-16
+3 0 1 0 0 23 24 32 -4.44089209850063e-16
+3 0 1 0 0 24 24 32 -4.44089209850063e-16
+3 0 1 0 0 25 24 32 -4.44089209850063e-16
+3 0 1 0 0 26 24 32 -4.44089209850063e-16
+3 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 -4.44089209850063e-16
+4 0 1 0 0 10 24 32 -4.44089209850063e-16
+4 0 1 0 0 11 24 32 -4.44089209850063e-16
+4 0 1 0 0 12 24 32 -4.44089209850063e-16
+4 0 1 0 0 13 24 32 -4.44089209850063e-16
+4 0 1 0 0 14 24 32 -4.44089209850063e-16
+4 0 1 0 0 15 24 32 -4.44089209850063e-16
+4 0 1 0 0 16 24 32 -4.44089209850063e-16
+4 0 1 0 0 17 24 32 -4.44089209850063e-16
+4 0 1 0 0 18 24 32 -4.44089209850063e-16
+4 0 1 0 0 19 24 32 -4.44089209850063e-16
+4 0 1 0 0 20 24 32 -4.44089209850063e-16
+4 0 1 0 0 21 24 32 -4.44089209850063e-16
+4 0 1 0 0 22 24 32 -4.44089209850063e-16
+4 0 1 0 0 23 24 32 -4.44089209850063e-16
+4 0 1 0 0 24 24 32 -4.44089209850063e-16
+4 0 1 0 0 25 24 32 -4.44089209850063e-16
+4 0 1 0 0 26 24 32 -4.44089209850063e-16
+4 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -4.44089209850063e-16
+4 0 0 0 0 2 24 32 -4.44089209850063e-16
+4 0 0 0 0 4 24 32 -4.44089209850063e-16
+4 0 0 0 0 6 24 32 -4.44089209850063e-16
+4 0 0 0 0 8 24 32 -4.44089209850063e-16
+4 0 0 0 0 10 24 32 -4.44089209850063e-16
+4 0 0 0 0 12 24 32 -4.44089209850063e-16
+4 0 0 0 0 14 24 32 -4.44089209850063e-16
+4 0 0 0 0 16 24 32 -4.44089209850063e-16
+4 0 0 0 0 18 24 32 -4.44089209850063e-16
+4 0 0 0 0 20 24 32 -4.44089209850063e-16
+4 0 0 0 0 22 24 32 -4.44089209850063e-16
+4 0 0 0 0 24 24 32 -4.44089209850063e-16
+4 0 0 0 0 26 24 32 -4.44089209850063e-16
+4 0 0 0 0 28 24 32 -4.44089209850063e-16
+4 0 0 0 0 30 24 32 -4.44089209850063e-16
+4 0 0 0 0 32 24 32 -4.44089209850063e-16
+4 0 0 0 0 34 24 32 -4.44089209850063e-16
+4 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 -4.44089209850063e-16
+5 0 1 0 0 10 24 32 -4.44089209850063e-16
+5 0 1 0 0 11 24 32 -4.44089209850063e-16
+5 0 1 0 0 12 24 32 -4.44089209850063e-16
+5 0 1 0 0 13 24 32 -4.44089209850063e-16
+5 0 1 0 0 14 24 32 -4.44089209850063e-16
+5 0 1 0 0 15 24 32 -4.44089209850063e-16
+5 0 1 0 0 16 24 32 -4.44089209850063e-16
+5 0 1 0 0 17 24 32 -4.44089209850063e-16
+5 0 1 0 0 18 24 32 -4.44089209850063e-16
+5 0 1 0 0 19 24 32 -4.44089209850063e-16
+5 0 1 0 0 20 24 32 -4.44089209850063e-16
+5 0 1 0 0 21 24 32 -4.44089209850063e-16
+5 0 1 0 0 22 24 32 -4.44089209850063e-16
+5 0 1 0 0 23 24 32 -4.44089209850063e-16
+5 0 1 0 0 24 24 32 -4.44089209850063e-16
+5 0 1 0 0 25 24 32 -4.44089209850063e-16
+5 0 1 0 0 26 24 32 -4.44089209850063e-16
+5 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 -4.44089209850063e-16
+6 0 1 0 0 10 24 32 -4.44089209850063e-16
+6 0 1 0 0 11 24 32 -4.44089209850063e-16
+6 0 1 0 0 12 24 32 -4.44089209850063e-16
+6 0 1 0 0 13 24 32 -4.44089209850063e-16
+6 0 1 0 0 14 24 32 -4.44089209850063e-16
+6 0 1 0 0 15 24 32 -4.44089209850063e-16
+6 0 1 0 0 16 24 32 -4.44089209850063e-16
+6 0 1 0 0 17 24 32 -4.44089209850063e-16
+6 0 1 0 0 18 24 32 -4.44089209850063e-16
+6 0 1 0 0 19 24 32 -4.44089209850063e-16
+6 0 1 0 0 20 24 32 -4.44089209850063e-16
+6 0 1 0 0 21 24 32 -4.44089209850063e-16
+6 0 1 0 0 22 24 32 -4.44089209850063e-16
+6 0 1 0 0 23 24 32 -4.44089209850063e-16
+6 0 1 0 0 24 24 32 -4.44089209850063e-16
+6 0 1 0 0 25 24 32 -4.44089209850063e-16
+6 0 1 0 0 26 24 32 -4.44089209850063e-16
+6 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -4.44089209850063e-16
+6 0 0 0 0 2 24 32 -4.44089209850063e-16
+6 0 0 0 0 4 24 32 -4.44089209850063e-16
+6 0 0 0 0 6 24 32 -4.44089209850063e-16
+6 0 0 0 0 8 24 32 -4.44089209850063e-16
+6 0 0 0 0 10 24 32 -4.44089209850063e-16
+6 0 0 0 0 12 24 32 -4.44089209850063e-16
+6 0 0 0 0 14 24 32 -4.44089209850063e-16
+6 0 0 0 0 16 24 32 -4.44089209850063e-16
+6 0 0 0 0 18 24 32 -4.44089209850063e-16
+6 0 0 0 0 20 24 32 -4.44089209850063e-16
+6 0 0 0 0 22 24 32 -4.44089209850063e-16
+6 0 0 0 0 24 24 32 -4.44089209850063e-16
+6 0 0 0 0 26 24 32 -4.44089209850063e-16
+6 0 0 0 0 28 24 32 -4.44089209850063e-16
+6 0 0 0 0 30 24 32 -4.44089209850063e-16
+6 0 0 0 0 32 24 32 -4.44089209850063e-16
+6 0 0 0 0 34 24 32 -4.44089209850063e-16
+6 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 -4.44089209850063e-16
+7 0 1 0 0 10 24 32 -4.44089209850063e-16
+7 0 1 0 0 11 24 32 -4.44089209850063e-16
+7 0 1 0 0 12 24 32 -4.44089209850063e-16
+7 0 1 0 0 13 24 32 -4.44089209850063e-16
+7 0 1 0 0 14 24 32 -4.44089209850063e-16
+7 0 1 0 0 15 24 32 -4.44089209850063e-16
+7 0 1 0 0 16 24 32 -4.44089209850063e-16
+7 0 1 0 0 17 24 32 -4.44089209850063e-16
+7 0 1 0 0 18 24 32 -4.44089209850063e-16
+7 0 1 0 0 19 24 32 -4.44089209850063e-16
+7 0 1 0 0 20 24 32 -4.44089209850063e-16
+7 0 1 0 0 21 24 32 -4.44089209850063e-16
+7 0 1 0 0 22 24 32 -4.44089209850063e-16
+7 0 1 0 0 23 24 32 -4.44089209850063e-16
+7 0 1 0 0 24 24 32 -4.44089209850063e-16
+7 0 1 0 0 25 24 32 -4.44089209850063e-16
+7 0 1 0 0 26 24 32 -4.44089209850063e-16
+7 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 -4.44089209850063e-16
+8 0 1 0 0 10 24 32 -4.44089209850063e-16
+8 0 1 0 0 11 24 32 -4.44089209850063e-16
+8 0 1 0 0 12 24 32 -4.44089209850063e-16
+8 0 1 0 0 13 24 32 -4.44089209850063e-16
+8 0 1 0 0 14 24 32 -4.44089209850063e-16
+8 0 1 0 0 15 24 32 -4.44089209850063e-16
+8 0 1 0 0 16 24 32 -4.44089209850063e-16
+8 0 1 0 0 17 24 32 -4.44089209850063e-16
+8 0 1 0 0 18 24 32 -4.44089209850063e-16
+8 0 1 0 0 19 24 32 -4.44089209850063e-16
+8 0 1 0 0 20 24 32 -4.44089209850063e-16
+8 0 1 0 0 21 24 32 -4.44089209850063e-16
+8 0 1 0 0 22 24 32 -4.44089209850063e-16
+8 0 1 0 0 23 24 32 -4.44089209850063e-16
+8 0 1 0 0 24 24 32 -4.44089209850063e-16
+8 0 1 0 0 25 24 32 -4.44089209850063e-16
+8 0 1 0 0 26 24 32 -4.44089209850063e-16
+8 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -4.44089209850063e-16
+8 0 0 0 0 2 24 32 -4.44089209850063e-16
+8 0 0 0 0 4 24 32 -4.44089209850063e-16
+8 0 0 0 0 6 24 32 -4.44089209850063e-16
+8 0 0 0 0 8 24 32 -4.44089209850063e-16
+8 0 0 0 0 10 24 32 -4.44089209850063e-16
+8 0 0 0 0 12 24 32 -4.44089209850063e-16
+8 0 0 0 0 14 24 32 -4.44089209850063e-16
+8 0 0 0 0 16 24 32 -4.44089209850063e-16
+8 0 0 0 0 18 24 32 -4.44089209850063e-16
+8 0 0 0 0 20 24 32 -4.44089209850063e-16
+8 0 0 0 0 22 24 32 -4.44089209850063e-16
+8 0 0 0 0 24 24 32 -4.44089209850063e-16
+8 0 0 0 0 26 24 32 -4.44089209850063e-16
+8 0 0 0 0 28 24 32 -4.44089209850063e-16
+8 0 0 0 0 30 24 32 -4.44089209850063e-16
+8 0 0 0 0 32 24 32 -4.44089209850063e-16
+8 0 0 0 0 34 24 32 -4.44089209850063e-16
+8 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 -4.44089209850063e-16
+9 0 1 0 0 10 24 32 -4.44089209850063e-16
+9 0 1 0 0 11 24 32 -4.44089209850063e-16
+9 0 1 0 0 12 24 32 -4.44089209850063e-16
+9 0 1 0 0 13 24 32 -4.44089209850063e-16
+9 0 1 0 0 14 24 32 -4.44089209850063e-16
+9 0 1 0 0 15 24 32 -4.44089209850063e-16
+9 0 1 0 0 16 24 32 -4.44089209850063e-16
+9 0 1 0 0 17 24 32 -4.44089209850063e-16
+9 0 1 0 0 18 24 32 -4.44089209850063e-16
+9 0 1 0 0 19 24 32 -4.44089209850063e-16
+9 0 1 0 0 20 24 32 -4.44089209850063e-16
+9 0 1 0 0 21 24 32 -4.44089209850063e-16
+9 0 1 0 0 22 24 32 -4.44089209850063e-16
+9 0 1 0 0 23 24 32 -4.44089209850063e-16
+9 0 1 0 0 24 24 32 -4.44089209850063e-16
+9 0 1 0 0 25 24 32 -4.44089209850063e-16
+9 0 1 0 0 26 24 32 -4.44089209850063e-16
+9 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 -4.44089209850063e-16
+10 0 1 0 0 10 24 32 -4.44089209850063e-16
+10 0 1 0 0 11 24 32 -4.44089209850063e-16
+10 0 1 0 0 12 24 32 -4.44089209850063e-16
+10 0 1 0 0 13 24 32 -4.44089209850063e-16
+10 0 1 0 0 14 24 32 -4.44089209850063e-16
+10 0 1 0 0 15 24 32 -4.44089209850063e-16
+10 0 1 0 0 16 24 32 -4.44089209850063e-16
+10 0 1 0 0 17 24 32 -4.44089209850063e-16
+10 0 1 0 0 18 24 32 -4.44089209850063e-16
+10 0 1 0 0 19 24 32 -4.44089209850063e-16
+10 0 1 0 0 20 24 32 -4.44089209850063e-16
+10 0 1 0 0 21 24 32 -4.44089209850063e-16
+10 0 1 0 0 22 24 32 -4.44089209850063e-16
+10 0 1 0 0 23 24 32 -4.44089209850063e-16
+10 0 1 0 0 24 24 32 -4.44089209850063e-16
+10 0 1 0 0 25 24 32 -4.44089209850063e-16
+10 0 1 0 0 26 24 32 -4.44089209850063e-16
+10 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -4.44089209850063e-16
+10 0 0 0 0 2 24 32 -4.44089209850063e-16
+10 0 0 0 0 4 24 32 -4.44089209850063e-16
+10 0 0 0 0 6 24 32 -4.44089209850063e-16
+10 0 0 0 0 8 24 32 -4.44089209850063e-16
+10 0 0 0 0 10 24 32 -4.44089209850063e-16
+10 0 0 0 0 12 24 32 -4.44089209850063e-16
+10 0 0 0 0 14 24 32 -4.44089209850063e-16
+10 0 0 0 0 16 24 32 -4.44089209850063e-16
+10 0 0 0 0 18 24 32 -4.44089209850063e-16
+10 0 0 0 0 20 24 32 -4.44089209850063e-16
+10 0 0 0 0 22 24 32 -4.44089209850063e-16
+10 0 0 0 0 24 24 32 -4.44089209850063e-16
+10 0 0 0 0 26 24 32 -4.44089209850063e-16
+10 0 0 0 0 28 24 32 -4.44089209850063e-16
+10 0 0 0 0 30 24 32 -4.44089209850063e-16
+10 0 0 0 0 32 24 32 -4.44089209850063e-16
+10 0 0 0 0 34 24 32 -4.44089209850063e-16
+10 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 -4.44089209850063e-16
+11 0 1 0 0 10 24 32 -4.44089209850063e-16
+11 0 1 0 0 11 24 32 -4.44089209850063e-16
+11 0 1 0 0 12 24 32 -4.44089209850063e-16
+11 0 1 0 0 13 24 32 -4.44089209850063e-16
+11 0 1 0 0 14 24 32 -4.44089209850063e-16
+11 0 1 0 0 15 24 32 -4.44089209850063e-16
+11 0 1 0 0 16 24 32 -4.44089209850063e-16
+11 0 1 0 0 17 24 32 -4.44089209850063e-16
+11 0 1 0 0 18 24 32 -4.44089209850063e-16
+11 0 1 0 0 19 24 32 -4.44089209850063e-16
+11 0 1 0 0 20 24 32 -4.44089209850063e-16
+11 0 1 0 0 21 24 32 -4.44089209850063e-16
+11 0 1 0 0 22 24 32 -4.44089209850063e-16
+11 0 1 0 0 23 24 32 -4.44089209850063e-16
+11 0 1 0 0 24 24 32 -4.44089209850063e-16
+11 0 1 0 0 25 24 32 -4.44089209850063e-16
+11 0 1 0 0 26 24 32 -4.44089209850063e-16
+11 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 -4.44089209850063e-16
+12 0 1 0 0 10 24 32 -4.44089209850063e-16
+12 0 1 0 0 11 24 32 -4.44089209850063e-16
+12 0 1 0 0 12 24 32 -4.44089209850063e-16
+12 0 1 0 0 13 24 32 -4.44089209850063e-16
+12 0 1 0 0 14 24 32 -4.44089209850063e-16
+12 0 1 0 0 15 24 32 -4.44089209850063e-16
+12 0 1 0 0 16 24 32 -4.44089209850063e-16
+12 0 1 0 0 17 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 19 24 32 -4.44089209850063e-16
+12 0 1 0 0 20 24 32 -4.44089209850063e-16
+12 0 1 0 0 21 24 32 -4.44089209850063e-16
+12 0 1 0 0 22 24 32 -4.44089209850063e-16
+12 0 1 0 0 23 24 32 -4.44089209850063e-16
+12 0 1 0 0 24 24 32 -4.44089209850063e-16
+12 0 1 0 0 25 24 32 -4.44089209850063e-16
+12 0 1 0 0 26 24 32 -4.44089209850063e-16
+12 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -4.44089209850063e-16
+12 0 0 0 0 2 24 32 -4.44089209850063e-16
+12 0 0 0 0 4 24 32 -4.44089209850063e-16
+12 0 0 0 0 6 24 32 -4.44089209850063e-16
+12 0 0 0 0 8 24 32 -4.44089209850063e-16
+12 0 0 0 0 10 24 32 -4.44089209850063e-16
+12 0 0 0 0 12 24 32 -4.44089209850063e-16
+12 0 0 0 0 14 24 32 -4.44089209850063e-16
+12 0 0 0 0 16 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 20 24 32 -4.44089209850063e-16
+12 0 0 0 0 22 24 32 -4.44089209850063e-16
+12 0 0 0 0 24 24 32 -4.44089209850063e-16
+12 0 0 0 0 26 24 32 -4.44089209850063e-16
+12 0 0 0 0 28 24 32 -4.44089209850063e-16
+12 0 0 0 0 30 24 32 -4.44089209850063e-16
+12 0 0 0 0 32 24 32 -4.44089209850063e-16
+12 0 0 0 0 34 24 32 -4.44089209850063e-16
+12 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.yl
new file mode 100644
index 000000000..6f89efa80
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -3.3
+0 0 1 0 0 18 14 32 -3
+0 0 1 0 0 18 15 32 -2.7
+0 0 1 0 0 18 16 32 -2.4
+0 0 1 0 0 18 17 32 -2.1
+0 0 1 0 0 18 18 32 -1.8
+0 0 1 0 0 18 19 32 -1.5
+0 0 1 0 0 18 20 32 -1.2
+0 0 1 0 0 18 21 32 -0.9
+0 0 1 0 0 18 22 32 -0.6
+0 0 1 0 0 18 23 32 -0.3
+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 25 32 0.3
+0 0 1 0 0 18 26 32 0.6
+0 0 1 0 0 18 27 32 0.899999999999999
+0 0 1 0 0 18 28 32 1.2
+0 0 1 0 0 18 29 32 1.5
+0 0 1 0 0 18 30 32 1.8
+0 0 1 0 0 18 31 32 2.1
+0 0 1 0 0 18 32 32 2.4
+0 0 1 0 0 18 33 32 2.7
+0 0 1 0 0 18 34 32 3
+0 0 1 0 0 18 35 32 3.3
+0 0 1 0 0 18 36 32 3.6
+0 0 1 0 0 18 37 32 3.9
+0 0 1 0 0 18 38 32 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -7.2
+0 0 0 0 0 18 2 32 -6.6
+0 0 0 0 0 18 4 32 -6
+0 0 0 0 0 18 6 32 -5.4
+0 0 0 0 0 18 8 32 -4.8
+0 0 0 0 0 18 10 32 -4.2
+0 0 0 0 0 18 12 32 -3.6
+0 0 0 0 0 18 14 32 -3
+0 0 0 0 0 18 16 32 -2.4
+0 0 0 0 0 18 18 32 -1.8
+0 0 0 0 0 18 20 32 -1.2
+0 0 0 0 0 18 22 32 -0.6
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 26 32 0.6
+0 0 0 0 0 18 28 32 1.2
+0 0 0 0 0 18 30 32 1.8
+0 0 0 0 0 18 32 32 2.4
+0 0 0 0 0 18 34 32 3
+0 0 0 0 0 18 36 32 3.6
+0 0 0 0 0 18 38 32 4.2
+0 0 0 0 0 18 40 32 4.8
+0 0 0 0 0 18 42 32 5.4
+0 0 0 0 0 18 44 32 6
+0 0 0 0 0 18 46 32 6.6
+0 0 0 0 0 18 48 32 7.2
+0 0 0 0 0 18 50 32 7.8
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 -3.3
+1 0 1 0 0 18 14 32 -3
+1 0 1 0 0 18 15 32 -2.7
+1 0 1 0 0 18 16 32 -2.4
+1 0 1 0 0 18 17 32 -2.1
+1 0 1 0 0 18 18 32 -1.8
+1 0 1 0 0 18 19 32 -1.5
+1 0 1 0 0 18 20 32 -1.2
+1 0 1 0 0 18 21 32 -0.9
+1 0 1 0 0 18 22 32 -0.6
+1 0 1 0 0 18 23 32 -0.3
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 25 32 0.3
+1 0 1 0 0 18 26 32 0.6
+1 0 1 0 0 18 27 32 0.899999999999999
+1 0 1 0 0 18 28 32 1.2
+1 0 1 0 0 18 29 32 1.5
+1 0 1 0 0 18 30 32 1.8
+1 0 1 0 0 18 31 32 2.1
+1 0 1 0 0 18 32 32 2.4
+1 0 1 0 0 18 33 32 2.7
+1 0 1 0 0 18 34 32 3
+1 0 1 0 0 18 35 32 3.3
+1 0 1 0 0 18 36 32 3.6
+1 0 1 0 0 18 37 32 3.9
+1 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 -3.3
+2 0 1 0 0 18 14 32 -3
+2 0 1 0 0 18 15 32 -2.7
+2 0 1 0 0 18 16 32 -2.4
+2 0 1 0 0 18 17 32 -2.1
+2 0 1 0 0 18 18 32 -1.8
+2 0 1 0 0 18 19 32 -1.5
+2 0 1 0 0 18 20 32 -1.2
+2 0 1 0 0 18 21 32 -0.9
+2 0 1 0 0 18 22 32 -0.6
+2 0 1 0 0 18 23 32 -0.3
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 25 32 0.3
+2 0 1 0 0 18 26 32 0.6
+2 0 1 0 0 18 27 32 0.899999999999999
+2 0 1 0 0 18 28 32 1.2
+2 0 1 0 0 18 29 32 1.5
+2 0 1 0 0 18 30 32 1.8
+2 0 1 0 0 18 31 32 2.1
+2 0 1 0 0 18 32 32 2.4
+2 0 1 0 0 18 33 32 2.7
+2 0 1 0 0 18 34 32 3
+2 0 1 0 0 18 35 32 3.3
+2 0 1 0 0 18 36 32 3.6
+2 0 1 0 0 18 37 32 3.9
+2 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -7.2
+2 0 0 0 0 18 2 32 -6.6
+2 0 0 0 0 18 4 32 -6
+2 0 0 0 0 18 6 32 -5.4
+2 0 0 0 0 18 8 32 -4.8
+2 0 0 0 0 18 10 32 -4.2
+2 0 0 0 0 18 12 32 -3.6
+2 0 0 0 0 18 14 32 -3
+2 0 0 0 0 18 16 32 -2.4
+2 0 0 0 0 18 18 32 -1.8
+2 0 0 0 0 18 20 32 -1.2
+2 0 0 0 0 18 22 32 -0.6
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 26 32 0.6
+2 0 0 0 0 18 28 32 1.2
+2 0 0 0 0 18 30 32 1.8
+2 0 0 0 0 18 32 32 2.4
+2 0 0 0 0 18 34 32 3
+2 0 0 0 0 18 36 32 3.6
+2 0 0 0 0 18 38 32 4.2
+2 0 0 0 0 18 40 32 4.8
+2 0 0 0 0 18 42 32 5.4
+2 0 0 0 0 18 44 32 6
+2 0 0 0 0 18 46 32 6.6
+2 0 0 0 0 18 48 32 7.2
+2 0 0 0 0 18 50 32 7.8
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 -3.3
+3 0 1 0 0 18 14 32 -3
+3 0 1 0 0 18 15 32 -2.7
+3 0 1 0 0 18 16 32 -2.4
+3 0 1 0 0 18 17 32 -2.1
+3 0 1 0 0 18 18 32 -1.8
+3 0 1 0 0 18 19 32 -1.5
+3 0 1 0 0 18 20 32 -1.2
+3 0 1 0 0 18 21 32 -0.9
+3 0 1 0 0 18 22 32 -0.6
+3 0 1 0 0 18 23 32 -0.3
+3 0 1 0 0 18 24 32 -4.44089209850063e-16
+3 0 1 0 0 18 25 32 0.3
+3 0 1 0 0 18 26 32 0.6
+3 0 1 0 0 18 27 32 0.899999999999999
+3 0 1 0 0 18 28 32 1.2
+3 0 1 0 0 18 29 32 1.5
+3 0 1 0 0 18 30 32 1.8
+3 0 1 0 0 18 31 32 2.1
+3 0 1 0 0 18 32 32 2.4
+3 0 1 0 0 18 33 32 2.7
+3 0 1 0 0 18 34 32 3
+3 0 1 0 0 18 35 32 3.3
+3 0 1 0 0 18 36 32 3.6
+3 0 1 0 0 18 37 32 3.9
+3 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 -3.3
+4 0 1 0 0 18 14 32 -3
+4 0 1 0 0 18 15 32 -2.7
+4 0 1 0 0 18 16 32 -2.4
+4 0 1 0 0 18 17 32 -2.1
+4 0 1 0 0 18 18 32 -1.8
+4 0 1 0 0 18 19 32 -1.5
+4 0 1 0 0 18 20 32 -1.2
+4 0 1 0 0 18 21 32 -0.9
+4 0 1 0 0 18 22 32 -0.6
+4 0 1 0 0 18 23 32 -0.3
+4 0 1 0 0 18 24 32 -4.44089209850063e-16
+4 0 1 0 0 18 25 32 0.3
+4 0 1 0 0 18 26 32 0.6
+4 0 1 0 0 18 27 32 0.899999999999999
+4 0 1 0 0 18 28 32 1.2
+4 0 1 0 0 18 29 32 1.5
+4 0 1 0 0 18 30 32 1.8
+4 0 1 0 0 18 31 32 2.1
+4 0 1 0 0 18 32 32 2.4
+4 0 1 0 0 18 33 32 2.7
+4 0 1 0 0 18 34 32 3
+4 0 1 0 0 18 35 32 3.3
+4 0 1 0 0 18 36 32 3.6
+4 0 1 0 0 18 37 32 3.9
+4 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -7.2
+4 0 0 0 0 18 2 32 -6.6
+4 0 0 0 0 18 4 32 -6
+4 0 0 0 0 18 6 32 -5.4
+4 0 0 0 0 18 8 32 -4.8
+4 0 0 0 0 18 10 32 -4.2
+4 0 0 0 0 18 12 32 -3.6
+4 0 0 0 0 18 14 32 -3
+4 0 0 0 0 18 16 32 -2.4
+4 0 0 0 0 18 18 32 -1.8
+4 0 0 0 0 18 20 32 -1.2
+4 0 0 0 0 18 22 32 -0.6
+4 0 0 0 0 18 24 32 -4.44089209850063e-16
+4 0 0 0 0 18 26 32 0.6
+4 0 0 0 0 18 28 32 1.2
+4 0 0 0 0 18 30 32 1.8
+4 0 0 0 0 18 32 32 2.4
+4 0 0 0 0 18 34 32 3
+4 0 0 0 0 18 36 32 3.6
+4 0 0 0 0 18 38 32 4.2
+4 0 0 0 0 18 40 32 4.8
+4 0 0 0 0 18 42 32 5.4
+4 0 0 0 0 18 44 32 6
+4 0 0 0 0 18 46 32 6.6
+4 0 0 0 0 18 48 32 7.2
+4 0 0 0 0 18 50 32 7.8
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 -3.3
+5 0 1 0 0 18 14 32 -3
+5 0 1 0 0 18 15 32 -2.7
+5 0 1 0 0 18 16 32 -2.4
+5 0 1 0 0 18 17 32 -2.1
+5 0 1 0 0 18 18 32 -1.8
+5 0 1 0 0 18 19 32 -1.5
+5 0 1 0 0 18 20 32 -1.2
+5 0 1 0 0 18 21 32 -0.9
+5 0 1 0 0 18 22 32 -0.6
+5 0 1 0 0 18 23 32 -0.3
+5 0 1 0 0 18 24 32 -4.44089209850063e-16
+5 0 1 0 0 18 25 32 0.3
+5 0 1 0 0 18 26 32 0.6
+5 0 1 0 0 18 27 32 0.899999999999999
+5 0 1 0 0 18 28 32 1.2
+5 0 1 0 0 18 29 32 1.5
+5 0 1 0 0 18 30 32 1.8
+5 0 1 0 0 18 31 32 2.1
+5 0 1 0 0 18 32 32 2.4
+5 0 1 0 0 18 33 32 2.7
+5 0 1 0 0 18 34 32 3
+5 0 1 0 0 18 35 32 3.3
+5 0 1 0 0 18 36 32 3.6
+5 0 1 0 0 18 37 32 3.9
+5 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 -3.3
+6 0 1 0 0 18 14 32 -3
+6 0 1 0 0 18 15 32 -2.7
+6 0 1 0 0 18 16 32 -2.4
+6 0 1 0 0 18 17 32 -2.1
+6 0 1 0 0 18 18 32 -1.8
+6 0 1 0 0 18 19 32 -1.5
+6 0 1 0 0 18 20 32 -1.2
+6 0 1 0 0 18 21 32 -0.9
+6 0 1 0 0 18 22 32 -0.6
+6 0 1 0 0 18 23 32 -0.3
+6 0 1 0 0 18 24 32 -4.44089209850063e-16
+6 0 1 0 0 18 25 32 0.3
+6 0 1 0 0 18 26 32 0.6
+6 0 1 0 0 18 27 32 0.899999999999999
+6 0 1 0 0 18 28 32 1.2
+6 0 1 0 0 18 29 32 1.5
+6 0 1 0 0 18 30 32 1.8
+6 0 1 0 0 18 31 32 2.1
+6 0 1 0 0 18 32 32 2.4
+6 0 1 0 0 18 33 32 2.7
+6 0 1 0 0 18 34 32 3
+6 0 1 0 0 18 35 32 3.3
+6 0 1 0 0 18 36 32 3.6
+6 0 1 0 0 18 37 32 3.9
+6 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -7.2
+6 0 0 0 0 18 2 32 -6.6
+6 0 0 0 0 18 4 32 -6
+6 0 0 0 0 18 6 32 -5.4
+6 0 0 0 0 18 8 32 -4.8
+6 0 0 0 0 18 10 32 -4.2
+6 0 0 0 0 18 12 32 -3.6
+6 0 0 0 0 18 14 32 -3
+6 0 0 0 0 18 16 32 -2.4
+6 0 0 0 0 18 18 32 -1.8
+6 0 0 0 0 18 20 32 -1.2
+6 0 0 0 0 18 22 32 -0.6
+6 0 0 0 0 18 24 32 -4.44089209850063e-16
+6 0 0 0 0 18 26 32 0.6
+6 0 0 0 0 18 28 32 1.2
+6 0 0 0 0 18 30 32 1.8
+6 0 0 0 0 18 32 32 2.4
+6 0 0 0 0 18 34 32 3
+6 0 0 0 0 18 36 32 3.6
+6 0 0 0 0 18 38 32 4.2
+6 0 0 0 0 18 40 32 4.8
+6 0 0 0 0 18 42 32 5.4
+6 0 0 0 0 18 44 32 6
+6 0 0 0 0 18 46 32 6.6
+6 0 0 0 0 18 48 32 7.2
+6 0 0 0 0 18 50 32 7.8
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 -3.3
+7 0 1 0 0 18 14 32 -3
+7 0 1 0 0 18 15 32 -2.7
+7 0 1 0 0 18 16 32 -2.4
+7 0 1 0 0 18 17 32 -2.1
+7 0 1 0 0 18 18 32 -1.8
+7 0 1 0 0 18 19 32 -1.5
+7 0 1 0 0 18 20 32 -1.2
+7 0 1 0 0 18 21 32 -0.9
+7 0 1 0 0 18 22 32 -0.6
+7 0 1 0 0 18 23 32 -0.3
+7 0 1 0 0 18 24 32 -4.44089209850063e-16
+7 0 1 0 0 18 25 32 0.3
+7 0 1 0 0 18 26 32 0.6
+7 0 1 0 0 18 27 32 0.899999999999999
+7 0 1 0 0 18 28 32 1.2
+7 0 1 0 0 18 29 32 1.5
+7 0 1 0 0 18 30 32 1.8
+7 0 1 0 0 18 31 32 2.1
+7 0 1 0 0 18 32 32 2.4
+7 0 1 0 0 18 33 32 2.7
+7 0 1 0 0 18 34 32 3
+7 0 1 0 0 18 35 32 3.3
+7 0 1 0 0 18 36 32 3.6
+7 0 1 0 0 18 37 32 3.9
+7 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 -3.3
+8 0 1 0 0 18 14 32 -3
+8 0 1 0 0 18 15 32 -2.7
+8 0 1 0 0 18 16 32 -2.4
+8 0 1 0 0 18 17 32 -2.1
+8 0 1 0 0 18 18 32 -1.8
+8 0 1 0 0 18 19 32 -1.5
+8 0 1 0 0 18 20 32 -1.2
+8 0 1 0 0 18 21 32 -0.9
+8 0 1 0 0 18 22 32 -0.6
+8 0 1 0 0 18 23 32 -0.3
+8 0 1 0 0 18 24 32 -4.44089209850063e-16
+8 0 1 0 0 18 25 32 0.3
+8 0 1 0 0 18 26 32 0.6
+8 0 1 0 0 18 27 32 0.899999999999999
+8 0 1 0 0 18 28 32 1.2
+8 0 1 0 0 18 29 32 1.5
+8 0 1 0 0 18 30 32 1.8
+8 0 1 0 0 18 31 32 2.1
+8 0 1 0 0 18 32 32 2.4
+8 0 1 0 0 18 33 32 2.7
+8 0 1 0 0 18 34 32 3
+8 0 1 0 0 18 35 32 3.3
+8 0 1 0 0 18 36 32 3.6
+8 0 1 0 0 18 37 32 3.9
+8 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -7.2
+8 0 0 0 0 18 2 32 -6.6
+8 0 0 0 0 18 4 32 -6
+8 0 0 0 0 18 6 32 -5.4
+8 0 0 0 0 18 8 32 -4.8
+8 0 0 0 0 18 10 32 -4.2
+8 0 0 0 0 18 12 32 -3.6
+8 0 0 0 0 18 14 32 -3
+8 0 0 0 0 18 16 32 -2.4
+8 0 0 0 0 18 18 32 -1.8
+8 0 0 0 0 18 20 32 -1.2
+8 0 0 0 0 18 22 32 -0.6
+8 0 0 0 0 18 24 32 -4.44089209850063e-16
+8 0 0 0 0 18 26 32 0.6
+8 0 0 0 0 18 28 32 1.2
+8 0 0 0 0 18 30 32 1.8
+8 0 0 0 0 18 32 32 2.4
+8 0 0 0 0 18 34 32 3
+8 0 0 0 0 18 36 32 3.6
+8 0 0 0 0 18 38 32 4.2
+8 0 0 0 0 18 40 32 4.8
+8 0 0 0 0 18 42 32 5.4
+8 0 0 0 0 18 44 32 6
+8 0 0 0 0 18 46 32 6.6
+8 0 0 0 0 18 48 32 7.2
+8 0 0 0 0 18 50 32 7.8
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 -3.3
+9 0 1 0 0 18 14 32 -3
+9 0 1 0 0 18 15 32 -2.7
+9 0 1 0 0 18 16 32 -2.4
+9 0 1 0 0 18 17 32 -2.1
+9 0 1 0 0 18 18 32 -1.8
+9 0 1 0 0 18 19 32 -1.5
+9 0 1 0 0 18 20 32 -1.2
+9 0 1 0 0 18 21 32 -0.9
+9 0 1 0 0 18 22 32 -0.6
+9 0 1 0 0 18 23 32 -0.3
+9 0 1 0 0 18 24 32 -4.44089209850063e-16
+9 0 1 0 0 18 25 32 0.3
+9 0 1 0 0 18 26 32 0.6
+9 0 1 0 0 18 27 32 0.899999999999999
+9 0 1 0 0 18 28 32 1.2
+9 0 1 0 0 18 29 32 1.5
+9 0 1 0 0 18 30 32 1.8
+9 0 1 0 0 18 31 32 2.1
+9 0 1 0 0 18 32 32 2.4
+9 0 1 0 0 18 33 32 2.7
+9 0 1 0 0 18 34 32 3
+9 0 1 0 0 18 35 32 3.3
+9 0 1 0 0 18 36 32 3.6
+9 0 1 0 0 18 37 32 3.9
+9 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 -3.3
+10 0 1 0 0 18 14 32 -3
+10 0 1 0 0 18 15 32 -2.7
+10 0 1 0 0 18 16 32 -2.4
+10 0 1 0 0 18 17 32 -2.1
+10 0 1 0 0 18 18 32 -1.8
+10 0 1 0 0 18 19 32 -1.5
+10 0 1 0 0 18 20 32 -1.2
+10 0 1 0 0 18 21 32 -0.9
+10 0 1 0 0 18 22 32 -0.6
+10 0 1 0 0 18 23 32 -0.3
+10 0 1 0 0 18 24 32 -4.44089209850063e-16
+10 0 1 0 0 18 25 32 0.3
+10 0 1 0 0 18 26 32 0.6
+10 0 1 0 0 18 27 32 0.899999999999999
+10 0 1 0 0 18 28 32 1.2
+10 0 1 0 0 18 29 32 1.5
+10 0 1 0 0 18 30 32 1.8
+10 0 1 0 0 18 31 32 2.1
+10 0 1 0 0 18 32 32 2.4
+10 0 1 0 0 18 33 32 2.7
+10 0 1 0 0 18 34 32 3
+10 0 1 0 0 18 35 32 3.3
+10 0 1 0 0 18 36 32 3.6
+10 0 1 0 0 18 37 32 3.9
+10 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -7.2
+10 0 0 0 0 18 2 32 -6.6
+10 0 0 0 0 18 4 32 -6
+10 0 0 0 0 18 6 32 -5.4
+10 0 0 0 0 18 8 32 -4.8
+10 0 0 0 0 18 10 32 -4.2
+10 0 0 0 0 18 12 32 -3.6
+10 0 0 0 0 18 14 32 -3
+10 0 0 0 0 18 16 32 -2.4
+10 0 0 0 0 18 18 32 -1.8
+10 0 0 0 0 18 20 32 -1.2
+10 0 0 0 0 18 22 32 -0.6
+10 0 0 0 0 18 24 32 -4.44089209850063e-16
+10 0 0 0 0 18 26 32 0.6
+10 0 0 0 0 18 28 32 1.2
+10 0 0 0 0 18 30 32 1.8
+10 0 0 0 0 18 32 32 2.4
+10 0 0 0 0 18 34 32 3
+10 0 0 0 0 18 36 32 3.6
+10 0 0 0 0 18 38 32 4.2
+10 0 0 0 0 18 40 32 4.8
+10 0 0 0 0 18 42 32 5.4
+10 0 0 0 0 18 44 32 6
+10 0 0 0 0 18 46 32 6.6
+10 0 0 0 0 18 48 32 7.2
+10 0 0 0 0 18 50 32 7.8
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 -3.3
+11 0 1 0 0 18 14 32 -3
+11 0 1 0 0 18 15 32 -2.7
+11 0 1 0 0 18 16 32 -2.4
+11 0 1 0 0 18 17 32 -2.1
+11 0 1 0 0 18 18 32 -1.8
+11 0 1 0 0 18 19 32 -1.5
+11 0 1 0 0 18 20 32 -1.2
+11 0 1 0 0 18 21 32 -0.9
+11 0 1 0 0 18 22 32 -0.6
+11 0 1 0 0 18 23 32 -0.3
+11 0 1 0 0 18 24 32 -4.44089209850063e-16
+11 0 1 0 0 18 25 32 0.3
+11 0 1 0 0 18 26 32 0.6
+11 0 1 0 0 18 27 32 0.899999999999999
+11 0 1 0 0 18 28 32 1.2
+11 0 1 0 0 18 29 32 1.5
+11 0 1 0 0 18 30 32 1.8
+11 0 1 0 0 18 31 32 2.1
+11 0 1 0 0 18 32 32 2.4
+11 0 1 0 0 18 33 32 2.7
+11 0 1 0 0 18 34 32 3
+11 0 1 0 0 18 35 32 3.3
+11 0 1 0 0 18 36 32 3.6
+11 0 1 0 0 18 37 32 3.9
+11 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 -3.3
+12 0 1 0 0 18 14 32 -3
+12 0 1 0 0 18 15 32 -2.7
+12 0 1 0 0 18 16 32 -2.4
+12 0 1 0 0 18 17 32 -2.1
+12 0 1 0 0 18 18 32 -1.8
+12 0 1 0 0 18 19 32 -1.5
+12 0 1 0 0 18 20 32 -1.2
+12 0 1 0 0 18 21 32 -0.9
+12 0 1 0 0 18 22 32 -0.6
+12 0 1 0 0 18 23 32 -0.3
+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 25 32 0.3
+12 0 1 0 0 18 26 32 0.6
+12 0 1 0 0 18 27 32 0.899999999999999
+12 0 1 0 0 18 28 32 1.2
+12 0 1 0 0 18 29 32 1.5
+12 0 1 0 0 18 30 32 1.8
+12 0 1 0 0 18 31 32 2.1
+12 0 1 0 0 18 32 32 2.4
+12 0 1 0 0 18 33 32 2.7
+12 0 1 0 0 18 34 32 3
+12 0 1 0 0 18 35 32 3.3
+12 0 1 0 0 18 36 32 3.6
+12 0 1 0 0 18 37 32 3.9
+12 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 -7.2
+12 0 0 0 0 18 2 32 -6.6
+12 0 0 0 0 18 4 32 -6
+12 0 0 0 0 18 6 32 -5.4
+12 0 0 0 0 18 8 32 -4.8
+12 0 0 0 0 18 10 32 -4.2
+12 0 0 0 0 18 12 32 -3.6
+12 0 0 0 0 18 14 32 -3
+12 0 0 0 0 18 16 32 -2.4
+12 0 0 0 0 18 18 32 -1.8
+12 0 0 0 0 18 20 32 -1.2
+12 0 0 0 0 18 22 32 -0.6
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 26 32 0.6
+12 0 0 0 0 18 28 32 1.2
+12 0 0 0 0 18 30 32 1.8
+12 0 0 0 0 18 32 32 2.4
+12 0 0 0 0 18 34 32 3
+12 0 0 0 0 18 36 32 3.6
+12 0 0 0 0 18 38 32 4.2
+12 0 0 0 0 18 40 32 4.8
+12 0 0 0 0 18 42 32 5.4
+12 0 0 0 0 18 44 32 6
+12 0 0 0 0 18 46 32 6.6
+12 0 0 0 0 18 48 32 7.2
+12 0 0 0 0 18 50 32 7.8
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.zl
new file mode 100644
index 000000000..ef19addd3
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -4.44089209850063e-16
+0 0 1 0 0 18 24 18 -4.44089209850063e-16
+0 0 1 0 0 18 24 19 -4.44089209850063e-16
+0 0 1 0 0 18 24 20 -4.44089209850063e-16
+0 0 1 0 0 18 24 21 -4.44089209850063e-16
+0 0 1 0 0 18 24 22 -4.44089209850063e-16
+0 0 1 0 0 18 24 23 -4.44089209850063e-16
+0 0 1 0 0 18 24 24 -4.44089209850063e-16
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+0 0 1 0 0 18 24 26 -4.44089209850063e-16
+0 0 1 0 0 18 24 27 -4.44089209850063e-16
+0 0 1 0 0 18 24 28 -4.44089209850063e-16
+0 0 1 0 0 18 24 29 -4.44089209850063e-16
+0 0 1 0 0 18 24 30 -4.44089209850063e-16
+0 0 1 0 0 18 24 31 -4.44089209850063e-16
+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 24 33 -4.44089209850063e-16
+0 0 1 0 0 18 24 34 -4.44089209850063e-16
+0 0 1 0 0 18 24 35 -4.44089209850063e-16
+0 0 1 0 0 18 24 36 -4.44089209850063e-16
+0 0 1 0 0 18 24 37 -4.44089209850063e-16
+0 0 1 0 0 18 24 38 -4.44089209850063e-16
+0 0 1 0 0 18 24 39 -4.44089209850063e-16
+0 0 1 0 0 18 24 40 -4.44089209850063e-16
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+0 0 1 0 0 18 24 42 -4.44089209850063e-16
+0 0 1 0 0 18 24 43 -4.44089209850063e-16
+0 0 1 0 0 18 24 44 -4.44089209850063e-16
+0 0 1 0 0 18 24 45 -4.44089209850063e-16
+0 0 1 0 0 18 24 46 -4.44089209850063e-16
+0 0 1 0 0 18 24 47 -4.44089209850063e-16
+0 0 1 0 0 18 24 48 -4.44089209850063e-16
+0 0 1 0 0 18 24 49 -4.44089209850063e-16
+0 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 -4.44089209850063e-16
+0 0 0 0 0 18 24 2 -4.44089209850063e-16
+0 0 0 0 0 18 24 4 -4.44089209850063e-16
+0 0 0 0 0 18 24 6 -4.44089209850063e-16
+0 0 0 0 0 18 24 8 -4.44089209850063e-16
+0 0 0 0 0 18 24 10 -4.44089209850063e-16
+0 0 0 0 0 18 24 12 -4.44089209850063e-16
+0 0 0 0 0 18 24 14 -4.44089209850063e-16
+0 0 0 0 0 18 24 16 -4.44089209850063e-16
+0 0 0 0 0 18 24 18 -4.44089209850063e-16
+0 0 0 0 0 18 24 20 -4.44089209850063e-16
+0 0 0 0 0 18 24 22 -4.44089209850063e-16
+0 0 0 0 0 18 24 24 -4.44089209850063e-16
+0 0 0 0 0 18 24 26 -4.44089209850063e-16
+0 0 0 0 0 18 24 28 -4.44089209850063e-16
+0 0 0 0 0 18 24 30 -4.44089209850063e-16
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 24 34 -4.44089209850063e-16
+0 0 0 0 0 18 24 36 -4.44089209850063e-16
+0 0 0 0 0 18 24 38 -4.44089209850063e-16
+0 0 0 0 0 18 24 40 -4.44089209850063e-16
+0 0 0 0 0 18 24 42 -4.44089209850063e-16
+0 0 0 0 0 18 24 44 -4.44089209850063e-16
+0 0 0 0 0 18 24 46 -4.44089209850063e-16
+0 0 0 0 0 18 24 48 -4.44089209850063e-16
+0 0 0 0 0 18 24 50 -4.44089209850063e-16
+0 0 0 0 0 18 24 52 -4.44089209850063e-16
+0 0 0 0 0 18 24 54 -4.44089209850063e-16
+0 0 0 0 0 18 24 56 -4.44089209850063e-16
+0 0 0 0 0 18 24 58 -4.44089209850063e-16
+0 0 0 0 0 18 24 60 -4.44089209850063e-16
+0 0 0 0 0 18 24 62 -4.44089209850063e-16
+0 0 0 0 0 18 24 64 -4.44089209850063e-16
+0 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -4.44089209850063e-16
+1 0 1 0 0 18 24 18 -4.44089209850063e-16
+1 0 1 0 0 18 24 19 -4.44089209850063e-16
+1 0 1 0 0 18 24 20 -4.44089209850063e-16
+1 0 1 0 0 18 24 21 -4.44089209850063e-16
+1 0 1 0 0 18 24 22 -4.44089209850063e-16
+1 0 1 0 0 18 24 23 -4.44089209850063e-16
+1 0 1 0 0 18 24 24 -4.44089209850063e-16
+1 0 1 0 0 18 24 25 -4.44089209850063e-16
+1 0 1 0 0 18 24 26 -4.44089209850063e-16
+1 0 1 0 0 18 24 27 -4.44089209850063e-16
+1 0 1 0 0 18 24 28 -4.44089209850063e-16
+1 0 1 0 0 18 24 29 -4.44089209850063e-16
+1 0 1 0 0 18 24 30 -4.44089209850063e-16
+1 0 1 0 0 18 24 31 -4.44089209850063e-16
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 24 33 -4.44089209850063e-16
+1 0 1 0 0 18 24 34 -4.44089209850063e-16
+1 0 1 0 0 18 24 35 -4.44089209850063e-16
+1 0 1 0 0 18 24 36 -4.44089209850063e-16
+1 0 1 0 0 18 24 37 -4.44089209850063e-16
+1 0 1 0 0 18 24 38 -4.44089209850063e-16
+1 0 1 0 0 18 24 39 -4.44089209850063e-16
+1 0 1 0 0 18 24 40 -4.44089209850063e-16
+1 0 1 0 0 18 24 41 -4.44089209850063e-16
+1 0 1 0 0 18 24 42 -4.44089209850063e-16
+1 0 1 0 0 18 24 43 -4.44089209850063e-16
+1 0 1 0 0 18 24 44 -4.44089209850063e-16
+1 0 1 0 0 18 24 45 -4.44089209850063e-16
+1 0 1 0 0 18 24 46 -4.44089209850063e-16
+1 0 1 0 0 18 24 47 -4.44089209850063e-16
+1 0 1 0 0 18 24 48 -4.44089209850063e-16
+1 0 1 0 0 18 24 49 -4.44089209850063e-16
+1 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -4.44089209850063e-16
+2 0 1 0 0 18 24 18 -4.44089209850063e-16
+2 0 1 0 0 18 24 19 -4.44089209850063e-16
+2 0 1 0 0 18 24 20 -4.44089209850063e-16
+2 0 1 0 0 18 24 21 -4.44089209850063e-16
+2 0 1 0 0 18 24 22 -4.44089209850063e-16
+2 0 1 0 0 18 24 23 -4.44089209850063e-16
+2 0 1 0 0 18 24 24 -4.44089209850063e-16
+2 0 1 0 0 18 24 25 -4.44089209850063e-16
+2 0 1 0 0 18 24 26 -4.44089209850063e-16
+2 0 1 0 0 18 24 27 -4.44089209850063e-16
+2 0 1 0 0 18 24 28 -4.44089209850063e-16
+2 0 1 0 0 18 24 29 -4.44089209850063e-16
+2 0 1 0 0 18 24 30 -4.44089209850063e-16
+2 0 1 0 0 18 24 31 -4.44089209850063e-16
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 24 33 -4.44089209850063e-16
+2 0 1 0 0 18 24 34 -4.44089209850063e-16
+2 0 1 0 0 18 24 35 -4.44089209850063e-16
+2 0 1 0 0 18 24 36 -4.44089209850063e-16
+2 0 1 0 0 18 24 37 -4.44089209850063e-16
+2 0 1 0 0 18 24 38 -4.44089209850063e-16
+2 0 1 0 0 18 24 39 -4.44089209850063e-16
+2 0 1 0 0 18 24 40 -4.44089209850063e-16
+2 0 1 0 0 18 24 41 -4.44089209850063e-16
+2 0 1 0 0 18 24 42 -4.44089209850063e-16
+2 0 1 0 0 18 24 43 -4.44089209850063e-16
+2 0 1 0 0 18 24 44 -4.44089209850063e-16
+2 0 1 0 0 18 24 45 -4.44089209850063e-16
+2 0 1 0 0 18 24 46 -4.44089209850063e-16
+2 0 1 0 0 18 24 47 -4.44089209850063e-16
+2 0 1 0 0 18 24 48 -4.44089209850063e-16
+2 0 1 0 0 18 24 49 -4.44089209850063e-16
+2 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 -4.44089209850063e-16
+2 0 0 0 0 18 24 2 -4.44089209850063e-16
+2 0 0 0 0 18 24 4 -4.44089209850063e-16
+2 0 0 0 0 18 24 6 -4.44089209850063e-16
+2 0 0 0 0 18 24 8 -4.44089209850063e-16
+2 0 0 0 0 18 24 10 -4.44089209850063e-16
+2 0 0 0 0 18 24 12 -4.44089209850063e-16
+2 0 0 0 0 18 24 14 -4.44089209850063e-16
+2 0 0 0 0 18 24 16 -4.44089209850063e-16
+2 0 0 0 0 18 24 18 -4.44089209850063e-16
+2 0 0 0 0 18 24 20 -4.44089209850063e-16
+2 0 0 0 0 18 24 22 -4.44089209850063e-16
+2 0 0 0 0 18 24 24 -4.44089209850063e-16
+2 0 0 0 0 18 24 26 -4.44089209850063e-16
+2 0 0 0 0 18 24 28 -4.44089209850063e-16
+2 0 0 0 0 18 24 30 -4.44089209850063e-16
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 24 34 -4.44089209850063e-16
+2 0 0 0 0 18 24 36 -4.44089209850063e-16
+2 0 0 0 0 18 24 38 -4.44089209850063e-16
+2 0 0 0 0 18 24 40 -4.44089209850063e-16
+2 0 0 0 0 18 24 42 -4.44089209850063e-16
+2 0 0 0 0 18 24 44 -4.44089209850063e-16
+2 0 0 0 0 18 24 46 -4.44089209850063e-16
+2 0 0 0 0 18 24 48 -4.44089209850063e-16
+2 0 0 0 0 18 24 50 -4.44089209850063e-16
+2 0 0 0 0 18 24 52 -4.44089209850063e-16
+2 0 0 0 0 18 24 54 -4.44089209850063e-16
+2 0 0 0 0 18 24 56 -4.44089209850063e-16
+2 0 0 0 0 18 24 58 -4.44089209850063e-16
+2 0 0 0 0 18 24 60 -4.44089209850063e-16
+2 0 0 0 0 18 24 62 -4.44089209850063e-16
+2 0 0 0 0 18 24 64 -4.44089209850063e-16
+2 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -4.44089209850063e-16
+3 0 1 0 0 18 24 18 -4.44089209850063e-16
+3 0 1 0 0 18 24 19 -4.44089209850063e-16
+3 0 1 0 0 18 24 20 -4.44089209850063e-16
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+3 0 1 0 0 18 24 23 -4.44089209850063e-16
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+3 0 1 0 0 18 24 26 -4.44089209850063e-16
+3 0 1 0 0 18 24 27 -4.44089209850063e-16
+3 0 1 0 0 18 24 28 -4.44089209850063e-16
+3 0 1 0 0 18 24 29 -4.44089209850063e-16
+3 0 1 0 0 18 24 30 -4.44089209850063e-16
+3 0 1 0 0 18 24 31 -4.44089209850063e-16
+3 0 1 0 0 18 24 32 -4.44089209850063e-16
+3 0 1 0 0 18 24 33 -4.44089209850063e-16
+3 0 1 0 0 18 24 34 -4.44089209850063e-16
+3 0 1 0 0 18 24 35 -4.44089209850063e-16
+3 0 1 0 0 18 24 36 -4.44089209850063e-16
+3 0 1 0 0 18 24 37 -4.44089209850063e-16
+3 0 1 0 0 18 24 38 -4.44089209850063e-16
+3 0 1 0 0 18 24 39 -4.44089209850063e-16
+3 0 1 0 0 18 24 40 -4.44089209850063e-16
+3 0 1 0 0 18 24 41 -4.44089209850063e-16
+3 0 1 0 0 18 24 42 -4.44089209850063e-16
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+3 0 1 0 0 18 24 49 -4.44089209850063e-16
+3 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -4.44089209850063e-16
+4 0 1 0 0 18 24 18 -4.44089209850063e-16
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+4 0 1 0 0 18 24 49 -4.44089209850063e-16
+4 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 -4.44089209850063e-16
+4 0 0 0 0 18 24 2 -4.44089209850063e-16
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+4 0 0 0 0 18 24 64 -4.44089209850063e-16
+4 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -4.44089209850063e-16
+5 0 1 0 0 18 24 18 -4.44089209850063e-16
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+5 0 1 0 0 18 24 49 -4.44089209850063e-16
+5 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -4.44089209850063e-16
+6 0 1 0 0 18 24 18 -4.44089209850063e-16
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+6 0 1 0 0 18 24 49 -4.44089209850063e-16
+6 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 -4.44089209850063e-16
+6 0 0 0 0 18 24 2 -4.44089209850063e-16
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+6 0 0 0 0 18 24 64 -4.44089209850063e-16
+6 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -4.44089209850063e-16
+7 0 1 0 0 18 24 18 -4.44089209850063e-16
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+7 0 1 0 0 18 24 49 -4.44089209850063e-16
+7 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -4.44089209850063e-16
+8 0 1 0 0 18 24 18 -4.44089209850063e-16
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+8 0 1 0 0 18 24 49 -4.44089209850063e-16
+8 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 -4.44089209850063e-16
+8 0 0 0 0 18 24 2 -4.44089209850063e-16
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+8 0 0 0 0 18 24 64 -4.44089209850063e-16
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -4.44089209850063e-16
+9 0 1 0 0 18 24 18 -4.44089209850063e-16
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+9 0 1 0 0 18 24 49 -4.44089209850063e-16
+9 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 -4.44089209850063e-16
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+10 0 1 0 0 18 24 35 -4.44089209850063e-16
+10 0 1 0 0 18 24 36 -4.44089209850063e-16
+10 0 1 0 0 18 24 37 -4.44089209850063e-16
+10 0 1 0 0 18 24 38 -4.44089209850063e-16
+10 0 1 0 0 18 24 39 -4.44089209850063e-16
+10 0 1 0 0 18 24 40 -4.44089209850063e-16
+10 0 1 0 0 18 24 41 -4.44089209850063e-16
+10 0 1 0 0 18 24 42 -4.44089209850063e-16
+10 0 1 0 0 18 24 43 -4.44089209850063e-16
+10 0 1 0 0 18 24 44 -4.44089209850063e-16
+10 0 1 0 0 18 24 45 -4.44089209850063e-16
+10 0 1 0 0 18 24 46 -4.44089209850063e-16
+10 0 1 0 0 18 24 47 -4.44089209850063e-16
+10 0 1 0 0 18 24 48 -4.44089209850063e-16
+10 0 1 0 0 18 24 49 -4.44089209850063e-16
+10 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 -4.44089209850063e-16
+10 0 0 0 0 18 24 2 -4.44089209850063e-16
+10 0 0 0 0 18 24 4 -4.44089209850063e-16
+10 0 0 0 0 18 24 6 -4.44089209850063e-16
+10 0 0 0 0 18 24 8 -4.44089209850063e-16
+10 0 0 0 0 18 24 10 -4.44089209850063e-16
+10 0 0 0 0 18 24 12 -4.44089209850063e-16
+10 0 0 0 0 18 24 14 -4.44089209850063e-16
+10 0 0 0 0 18 24 16 -4.44089209850063e-16
+10 0 0 0 0 18 24 18 -4.44089209850063e-16
+10 0 0 0 0 18 24 20 -4.44089209850063e-16
+10 0 0 0 0 18 24 22 -4.44089209850063e-16
+10 0 0 0 0 18 24 24 -4.44089209850063e-16
+10 0 0 0 0 18 24 26 -4.44089209850063e-16
+10 0 0 0 0 18 24 28 -4.44089209850063e-16
+10 0 0 0 0 18 24 30 -4.44089209850063e-16
+10 0 0 0 0 18 24 32 -4.44089209850063e-16
+10 0 0 0 0 18 24 34 -4.44089209850063e-16
+10 0 0 0 0 18 24 36 -4.44089209850063e-16
+10 0 0 0 0 18 24 38 -4.44089209850063e-16
+10 0 0 0 0 18 24 40 -4.44089209850063e-16
+10 0 0 0 0 18 24 42 -4.44089209850063e-16
+10 0 0 0 0 18 24 44 -4.44089209850063e-16
+10 0 0 0 0 18 24 46 -4.44089209850063e-16
+10 0 0 0 0 18 24 48 -4.44089209850063e-16
+10 0 0 0 0 18 24 50 -4.44089209850063e-16
+10 0 0 0 0 18 24 52 -4.44089209850063e-16
+10 0 0 0 0 18 24 54 -4.44089209850063e-16
+10 0 0 0 0 18 24 56 -4.44089209850063e-16
+10 0 0 0 0 18 24 58 -4.44089209850063e-16
+10 0 0 0 0 18 24 60 -4.44089209850063e-16
+10 0 0 0 0 18 24 62 -4.44089209850063e-16
+10 0 0 0 0 18 24 64 -4.44089209850063e-16
+10 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 -4.44089209850063e-16
+11 0 1 0 0 18 24 18 -4.44089209850063e-16
+11 0 1 0 0 18 24 19 -4.44089209850063e-16
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+11 0 1 0 0 18 24 22 -4.44089209850063e-16
+11 0 1 0 0 18 24 23 -4.44089209850063e-16
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+11 0 1 0 0 18 24 27 -4.44089209850063e-16
+11 0 1 0 0 18 24 28 -4.44089209850063e-16
+11 0 1 0 0 18 24 29 -4.44089209850063e-16
+11 0 1 0 0 18 24 30 -4.44089209850063e-16
+11 0 1 0 0 18 24 31 -4.44089209850063e-16
+11 0 1 0 0 18 24 32 -4.44089209850063e-16
+11 0 1 0 0 18 24 33 -4.44089209850063e-16
+11 0 1 0 0 18 24 34 -4.44089209850063e-16
+11 0 1 0 0 18 24 35 -4.44089209850063e-16
+11 0 1 0 0 18 24 36 -4.44089209850063e-16
+11 0 1 0 0 18 24 37 -4.44089209850063e-16
+11 0 1 0 0 18 24 38 -4.44089209850063e-16
+11 0 1 0 0 18 24 39 -4.44089209850063e-16
+11 0 1 0 0 18 24 40 -4.44089209850063e-16
+11 0 1 0 0 18 24 41 -4.44089209850063e-16
+11 0 1 0 0 18 24 42 -4.44089209850063e-16
+11 0 1 0 0 18 24 43 -4.44089209850063e-16
+11 0 1 0 0 18 24 44 -4.44089209850063e-16
+11 0 1 0 0 18 24 45 -4.44089209850063e-16
+11 0 1 0 0 18 24 46 -4.44089209850063e-16
+11 0 1 0 0 18 24 47 -4.44089209850063e-16
+11 0 1 0 0 18 24 48 -4.44089209850063e-16
+11 0 1 0 0 18 24 49 -4.44089209850063e-16
+11 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 -4.44089209850063e-16
+12 0 1 0 0 18 24 18 -4.44089209850063e-16
+12 0 1 0 0 18 24 19 -4.44089209850063e-16
+12 0 1 0 0 18 24 20 -4.44089209850063e-16
+12 0 1 0 0 18 24 21 -4.44089209850063e-16
+12 0 1 0 0 18 24 22 -4.44089209850063e-16
+12 0 1 0 0 18 24 23 -4.44089209850063e-16
+12 0 1 0 0 18 24 24 -4.44089209850063e-16
+12 0 1 0 0 18 24 25 -4.44089209850063e-16
+12 0 1 0 0 18 24 26 -4.44089209850063e-16
+12 0 1 0 0 18 24 27 -4.44089209850063e-16
+12 0 1 0 0 18 24 28 -4.44089209850063e-16
+12 0 1 0 0 18 24 29 -4.44089209850063e-16
+12 0 1 0 0 18 24 30 -4.44089209850063e-16
+12 0 1 0 0 18 24 31 -4.44089209850063e-16
+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 24 33 -4.44089209850063e-16
+12 0 1 0 0 18 24 34 -4.44089209850063e-16
+12 0 1 0 0 18 24 35 -4.44089209850063e-16
+12 0 1 0 0 18 24 36 -4.44089209850063e-16
+12 0 1 0 0 18 24 37 -4.44089209850063e-16
+12 0 1 0 0 18 24 38 -4.44089209850063e-16
+12 0 1 0 0 18 24 39 -4.44089209850063e-16
+12 0 1 0 0 18 24 40 -4.44089209850063e-16
+12 0 1 0 0 18 24 41 -4.44089209850063e-16
+12 0 1 0 0 18 24 42 -4.44089209850063e-16
+12 0 1 0 0 18 24 43 -4.44089209850063e-16
+12 0 1 0 0 18 24 44 -4.44089209850063e-16
+12 0 1 0 0 18 24 45 -4.44089209850063e-16
+12 0 1 0 0 18 24 46 -4.44089209850063e-16
+12 0 1 0 0 18 24 47 -4.44089209850063e-16
+12 0 1 0 0 18 24 48 -4.44089209850063e-16
+12 0 1 0 0 18 24 49 -4.44089209850063e-16
+12 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 -4.44089209850063e-16
+12 0 0 0 0 18 24 2 -4.44089209850063e-16
+12 0 0 0 0 18 24 4 -4.44089209850063e-16
+12 0 0 0 0 18 24 6 -4.44089209850063e-16
+12 0 0 0 0 18 24 8 -4.44089209850063e-16
+12 0 0 0 0 18 24 10 -4.44089209850063e-16
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+12 0 0 0 0 18 24 18 -4.44089209850063e-16
+12 0 0 0 0 18 24 20 -4.44089209850063e-16
+12 0 0 0 0 18 24 22 -4.44089209850063e-16
+12 0 0 0 0 18 24 24 -4.44089209850063e-16
+12 0 0 0 0 18 24 26 -4.44089209850063e-16
+12 0 0 0 0 18 24 28 -4.44089209850063e-16
+12 0 0 0 0 18 24 30 -4.44089209850063e-16
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 24 34 -4.44089209850063e-16
+12 0 0 0 0 18 24 36 -4.44089209850063e-16
+12 0 0 0 0 18 24 38 -4.44089209850063e-16
+12 0 0 0 0 18 24 40 -4.44089209850063e-16
+12 0 0 0 0 18 24 42 -4.44089209850063e-16
+12 0 0 0 0 18 24 44 -4.44089209850063e-16
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+12 0 0 0 0 18 24 50 -4.44089209850063e-16
+12 0 0 0 0 18 24 52 -4.44089209850063e-16
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+12 0 0 0 0 18 24 56 -4.44089209850063e-16
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+12 0 0 0 0 18 24 60 -4.44089209850063e-16
+12 0 0 0 0 18 24 62 -4.44089209850063e-16
+12 0 0 0 0 18 24 64 -4.44089209850063e-16
+12 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.xl
new file mode 100644
index 000000000..fa9b8b7a7
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 0
+0 0 1 0 0 10 24 32 0
+0 0 1 0 0 11 24 32 0
+0 0 1 0 0 12 24 32 0
+0 0 1 0 0 13 24 32 0
+0 0 1 0 0 14 24 32 0
+0 0 1 0 0 15 24 32 0
+0 0 1 0 0 16 24 32 0
+0 0 1 0 0 17 24 32 0
+0 0 1 0 0 18 24 32 0
+0 0 1 0 0 19 24 32 0
+0 0 1 0 0 20 24 32 0
+0 0 1 0 0 21 24 32 0
+0 0 1 0 0 22 24 32 0
+0 0 1 0 0 23 24 32 0
+0 0 1 0 0 24 24 32 0
+0 0 1 0 0 25 24 32 0
+0 0 1 0 0 26 24 32 0
+0 0 1 0 0 27 24 32 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 0
+0 0 0 0 0 2 24 32 0
+0 0 0 0 0 4 24 32 0
+0 0 0 0 0 6 24 32 0
+0 0 0 0 0 8 24 32 0
+0 0 0 0 0 10 24 32 0
+0 0 0 0 0 12 24 32 0
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+0 0 0 0 0 16 24 32 0
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+0 0 0 0 0 20 24 32 0
+0 0 0 0 0 22 24 32 0
+0 0 0 0 0 24 24 32 0
+0 0 0 0 0 26 24 32 0
+0 0 0 0 0 28 24 32 0
+0 0 0 0 0 30 24 32 0
+0 0 0 0 0 32 24 32 0
+0 0 0 0 0 34 24 32 0
+0 0 0 0 0 36 24 32 0
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 0
+1 0 1 0 0 10 24 32 0
+1 0 1 0 0 11 24 32 0
+1 0 1 0 0 12 24 32 0
+1 0 1 0 0 13 24 32 0
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+1 0 1 0 0 24 24 32 0
+1 0 1 0 0 25 24 32 0
+1 0 1 0 0 26 24 32 0
+1 0 1 0 0 27 24 32 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0
+2 0 1 0 0 10 24 32 0
+2 0 1 0 0 11 24 32 0
+2 0 1 0 0 12 24 32 0
+2 0 1 0 0 13 24 32 0
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+2 0 1 0 0 24 24 32 0
+2 0 1 0 0 25 24 32 0
+2 0 1 0 0 26 24 32 0
+2 0 1 0 0 27 24 32 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 0
+2 0 0 0 0 2 24 32 0
+2 0 0 0 0 4 24 32 0
+2 0 0 0 0 6 24 32 0
+2 0 0 0 0 8 24 32 0
+2 0 0 0 0 10 24 32 0
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+2 0 0 0 0 28 24 32 0
+2 0 0 0 0 30 24 32 0
+2 0 0 0 0 32 24 32 0
+2 0 0 0 0 34 24 32 0
+2 0 0 0 0 36 24 32 0
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0
+3 0 1 0 0 10 24 32 0
+3 0 1 0 0 11 24 32 0
+3 0 1 0 0 12 24 32 0
+3 0 1 0 0 13 24 32 0
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+3 0 1 0 0 24 24 32 0
+3 0 1 0 0 25 24 32 0
+3 0 1 0 0 26 24 32 0
+3 0 1 0 0 27 24 32 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0
+4 0 1 0 0 10 24 32 0
+4 0 1 0 0 11 24 32 0
+4 0 1 0 0 12 24 32 0
+4 0 1 0 0 13 24 32 0
+4 0 1 0 0 14 24 32 0
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+4 0 1 0 0 24 24 32 0
+4 0 1 0 0 25 24 32 0
+4 0 1 0 0 26 24 32 0
+4 0 1 0 0 27 24 32 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 0
+4 0 0 0 0 2 24 32 0
+4 0 0 0 0 4 24 32 0
+4 0 0 0 0 6 24 32 0
+4 0 0 0 0 8 24 32 0
+4 0 0 0 0 10 24 32 0
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+4 0 0 0 0 30 24 32 0
+4 0 0 0 0 32 24 32 0
+4 0 0 0 0 34 24 32 0
+4 0 0 0 0 36 24 32 0
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0
+5 0 1 0 0 10 24 32 0
+5 0 1 0 0 11 24 32 0
+5 0 1 0 0 12 24 32 0
+5 0 1 0 0 13 24 32 0
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+5 0 1 0 0 24 24 32 0
+5 0 1 0 0 25 24 32 0
+5 0 1 0 0 26 24 32 0
+5 0 1 0 0 27 24 32 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0
+6 0 1 0 0 10 24 32 0
+6 0 1 0 0 11 24 32 0
+6 0 1 0 0 12 24 32 0
+6 0 1 0 0 13 24 32 0
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+6 0 1 0 0 24 24 32 0
+6 0 1 0 0 25 24 32 0
+6 0 1 0 0 26 24 32 0
+6 0 1 0 0 27 24 32 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 0
+6 0 0 0 0 2 24 32 0
+6 0 0 0 0 4 24 32 0
+6 0 0 0 0 6 24 32 0
+6 0 0 0 0 8 24 32 0
+6 0 0 0 0 10 24 32 0
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+6 0 0 0 0 30 24 32 0
+6 0 0 0 0 32 24 32 0
+6 0 0 0 0 34 24 32 0
+6 0 0 0 0 36 24 32 0
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0
+7 0 1 0 0 10 24 32 0
+7 0 1 0 0 11 24 32 0
+7 0 1 0 0 12 24 32 0
+7 0 1 0 0 13 24 32 0
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+7 0 1 0 0 25 24 32 0
+7 0 1 0 0 26 24 32 0
+7 0 1 0 0 27 24 32 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0
+8 0 1 0 0 10 24 32 0
+8 0 1 0 0 11 24 32 0
+8 0 1 0 0 12 24 32 0
+8 0 1 0 0 13 24 32 0
+8 0 1 0 0 14 24 32 0
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+8 0 1 0 0 24 24 32 0
+8 0 1 0 0 25 24 32 0
+8 0 1 0 0 26 24 32 0
+8 0 1 0 0 27 24 32 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 0
+8 0 0 0 0 2 24 32 0
+8 0 0 0 0 4 24 32 0
+8 0 0 0 0 6 24 32 0
+8 0 0 0 0 8 24 32 0
+8 0 0 0 0 10 24 32 0
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+8 0 0 0 0 30 24 32 0
+8 0 0 0 0 32 24 32 0
+8 0 0 0 0 34 24 32 0
+8 0 0 0 0 36 24 32 0
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0
+9 0 1 0 0 10 24 32 0
+9 0 1 0 0 11 24 32 0
+9 0 1 0 0 12 24 32 0
+9 0 1 0 0 13 24 32 0
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+9 0 1 0 0 25 24 32 0
+9 0 1 0 0 26 24 32 0
+9 0 1 0 0 27 24 32 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0
+10 0 1 0 0 10 24 32 0
+10 0 1 0 0 11 24 32 0
+10 0 1 0 0 12 24 32 0
+10 0 1 0 0 13 24 32 0
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+10 0 1 0 0 24 24 32 0
+10 0 1 0 0 25 24 32 0
+10 0 1 0 0 26 24 32 0
+10 0 1 0 0 27 24 32 0
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 0
+10 0 0 0 0 2 24 32 0
+10 0 0 0 0 4 24 32 0
+10 0 0 0 0 6 24 32 0
+10 0 0 0 0 8 24 32 0
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+10 0 0 0 0 30 24 32 0
+10 0 0 0 0 32 24 32 0
+10 0 0 0 0 34 24 32 0
+10 0 0 0 0 36 24 32 0
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0
+11 0 1 0 0 10 24 32 0
+11 0 1 0 0 11 24 32 0
+11 0 1 0 0 12 24 32 0
+11 0 1 0 0 13 24 32 0
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+11 0 1 0 0 25 24 32 0
+11 0 1 0 0 26 24 32 0
+11 0 1 0 0 27 24 32 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0
+12 0 1 0 0 10 24 32 0
+12 0 1 0 0 11 24 32 0
+12 0 1 0 0 12 24 32 0
+12 0 1 0 0 13 24 32 0
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+12 0 1 0 0 25 24 32 0
+12 0 1 0 0 26 24 32 0
+12 0 1 0 0 27 24 32 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 0
+12 0 0 0 0 2 24 32 0
+12 0 0 0 0 4 24 32 0
+12 0 0 0 0 6 24 32 0
+12 0 0 0 0 8 24 32 0
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+12 0 0 0 0 34 24 32 0
+12 0 0 0 0 36 24 32 0
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.yl
new file mode 100644
index 000000000..f6a4a5589
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 0
+0 0 1 0 0 18 14 32 0
+0 0 1 0 0 18 15 32 0
+0 0 1 0 0 18 16 32 0
+0 0 1 0 0 18 17 32 0
+0 0 1 0 0 18 18 32 0
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+0 0 1 0 0 18 32 32 0
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+0 0 1 0 0 18 35 32 0
+0 0 1 0 0 18 36 32 0
+0 0 1 0 0 18 37 32 0
+0 0 1 0 0 18 38 32 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 0
+0 0 0 0 0 18 2 32 0
+0 0 0 0 0 18 4 32 0
+0 0 0 0 0 18 6 32 0
+0 0 0 0 0 18 8 32 0
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+0 0 0 0 0 18 44 32 0
+0 0 0 0 0 18 46 32 0
+0 0 0 0 0 18 48 32 0
+0 0 0 0 0 18 50 32 0
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0
+1 0 1 0 0 18 14 32 0
+1 0 1 0 0 18 15 32 0
+1 0 1 0 0 18 16 32 0
+1 0 1 0 0 18 17 32 0
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+1 0 1 0 0 18 35 32 0
+1 0 1 0 0 18 36 32 0
+1 0 1 0 0 18 37 32 0
+1 0 1 0 0 18 38 32 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0
+2 0 1 0 0 18 14 32 0
+2 0 1 0 0 18 15 32 0
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+2 0 1 0 0 18 35 32 0
+2 0 1 0 0 18 36 32 0
+2 0 1 0 0 18 37 32 0
+2 0 1 0 0 18 38 32 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 0
+2 0 0 0 0 18 2 32 0
+2 0 0 0 0 18 4 32 0
+2 0 0 0 0 18 6 32 0
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+2 0 0 0 0 18 44 32 0
+2 0 0 0 0 18 46 32 0
+2 0 0 0 0 18 48 32 0
+2 0 0 0 0 18 50 32 0
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0
+3 0 1 0 0 18 14 32 0
+3 0 1 0 0 18 15 32 0
+3 0 1 0 0 18 16 32 0
+3 0 1 0 0 18 17 32 0
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+3 0 1 0 0 18 35 32 0
+3 0 1 0 0 18 36 32 0
+3 0 1 0 0 18 37 32 0
+3 0 1 0 0 18 38 32 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0
+4 0 1 0 0 18 14 32 0
+4 0 1 0 0 18 15 32 0
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+4 0 1 0 0 18 35 32 0
+4 0 1 0 0 18 36 32 0
+4 0 1 0 0 18 37 32 0
+4 0 1 0 0 18 38 32 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 0
+4 0 0 0 0 18 2 32 0
+4 0 0 0 0 18 4 32 0
+4 0 0 0 0 18 6 32 0
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+4 0 0 0 0 18 44 32 0
+4 0 0 0 0 18 46 32 0
+4 0 0 0 0 18 48 32 0
+4 0 0 0 0 18 50 32 0
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0
+5 0 1 0 0 18 14 32 0
+5 0 1 0 0 18 15 32 0
+5 0 1 0 0 18 16 32 0
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+5 0 1 0 0 18 36 32 0
+5 0 1 0 0 18 37 32 0
+5 0 1 0 0 18 38 32 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0
+6 0 1 0 0 18 14 32 0
+6 0 1 0 0 18 15 32 0
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+6 0 1 0 0 18 36 32 0
+6 0 1 0 0 18 37 32 0
+6 0 1 0 0 18 38 32 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 0
+6 0 0 0 0 18 2 32 0
+6 0 0 0 0 18 4 32 0
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+6 0 0 0 0 18 46 32 0
+6 0 0 0 0 18 48 32 0
+6 0 0 0 0 18 50 32 0
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0
+7 0 1 0 0 18 14 32 0
+7 0 1 0 0 18 15 32 0
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+7 0 1 0 0 18 37 32 0
+7 0 1 0 0 18 38 32 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0
+8 0 1 0 0 18 14 32 0
+8 0 1 0 0 18 15 32 0
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+8 0 1 0 0 18 38 32 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 0
+8 0 0 0 0 18 2 32 0
+8 0 0 0 0 18 4 32 0
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+8 0 0 0 0 18 50 32 0
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0
+9 0 1 0 0 18 14 32 0
+9 0 1 0 0 18 15 32 0
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+9 0 1 0 0 18 38 32 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0
+10 0 1 0 0 18 14 32 0
+10 0 1 0 0 18 15 32 0
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+10 0 1 0 0 18 36 32 0
+10 0 1 0 0 18 37 32 0
+10 0 1 0 0 18 38 32 0
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 0
+10 0 0 0 0 18 2 32 0
+10 0 0 0 0 18 4 32 0
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+10 0 0 0 0 18 46 32 0
+10 0 0 0 0 18 48 32 0
+10 0 0 0 0 18 50 32 0
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0
+11 0 1 0 0 18 14 32 0
+11 0 1 0 0 18 15 32 0
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+11 0 1 0 0 18 36 32 0
+11 0 1 0 0 18 37 32 0
+11 0 1 0 0 18 38 32 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0
+12 0 1 0 0 18 14 32 0
+12 0 1 0 0 18 15 32 0
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+12 0 1 0 0 18 35 32 0
+12 0 1 0 0 18 36 32 0
+12 0 1 0 0 18 37 32 0
+12 0 1 0 0 18 38 32 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0
+12 0 0 0 0 18 2 32 0
+12 0 0 0 0 18 4 32 0
+12 0 0 0 0 18 6 32 0
+12 0 0 0 0 18 8 32 0
+12 0 0 0 0 18 10 32 0
+12 0 0 0 0 18 12 32 0
+12 0 0 0 0 18 14 32 0
+12 0 0 0 0 18 16 32 0
+12 0 0 0 0 18 18 32 0
+12 0 0 0 0 18 20 32 0
+12 0 0 0 0 18 22 32 0
+12 0 0 0 0 18 24 32 0
+12 0 0 0 0 18 26 32 0
+12 0 0 0 0 18 28 32 0
+12 0 0 0 0 18 30 32 0
+12 0 0 0 0 18 32 32 0
+12 0 0 0 0 18 34 32 0
+12 0 0 0 0 18 36 32 0
+12 0 0 0 0 18 38 32 0
+12 0 0 0 0 18 40 32 0
+12 0 0 0 0 18 42 32 0
+12 0 0 0 0 18 44 32 0
+12 0 0 0 0 18 46 32 0
+12 0 0 0 0 18 48 32 0
+12 0 0 0 0 18 50 32 0
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.zl
new file mode 100644
index 000000000..a1ef57457
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -4.5
+0 0 1 0 0 18 24 18 -4.2
+0 0 1 0 0 18 24 19 -3.9
+0 0 1 0 0 18 24 20 -3.6
+0 0 1 0 0 18 24 21 -3.3
+0 0 1 0 0 18 24 22 -3
+0 0 1 0 0 18 24 23 -2.7
+0 0 1 0 0 18 24 24 -2.4
+0 0 1 0 0 18 24 25 -2.1
+0 0 1 0 0 18 24 26 -1.8
+0 0 1 0 0 18 24 27 -1.5
+0 0 1 0 0 18 24 28 -1.2
+0 0 1 0 0 18 24 29 -0.9
+0 0 1 0 0 18 24 30 -0.6
+0 0 1 0 0 18 24 31 -0.3
+0 0 1 0 0 18 24 32 0
+0 0 1 0 0 18 24 33 0.3
+0 0 1 0 0 18 24 34 0.6
+0 0 1 0 0 18 24 35 0.9
+0 0 1 0 0 18 24 36 1.2
+0 0 1 0 0 18 24 37 1.5
+0 0 1 0 0 18 24 38 1.8
+0 0 1 0 0 18 24 39 2.1
+0 0 1 0 0 18 24 40 2.4
+0 0 1 0 0 18 24 41 2.7
+0 0 1 0 0 18 24 42 3
+0 0 1 0 0 18 24 43 3.3
+0 0 1 0 0 18 24 44 3.6
+0 0 1 0 0 18 24 45 3.9
+0 0 1 0 0 18 24 46 4.2
+0 0 1 0 0 18 24 47 4.5
+0 0 1 0 0 18 24 48 4.8
+0 0 1 0 0 18 24 49 5.1
+0 0 1 0 0 18 24 50 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 -9.6
+0 0 0 0 0 18 24 2 -9
+0 0 0 0 0 18 24 4 -8.4
+0 0 0 0 0 18 24 6 -7.8
+0 0 0 0 0 18 24 8 -7.2
+0 0 0 0 0 18 24 10 -6.6
+0 0 0 0 0 18 24 12 -6
+0 0 0 0 0 18 24 14 -5.4
+0 0 0 0 0 18 24 16 -4.8
+0 0 0 0 0 18 24 18 -4.2
+0 0 0 0 0 18 24 20 -3.6
+0 0 0 0 0 18 24 22 -3
+0 0 0 0 0 18 24 24 -2.4
+0 0 0 0 0 18 24 26 -1.8
+0 0 0 0 0 18 24 28 -1.2
+0 0 0 0 0 18 24 30 -0.6
+0 0 0 0 0 18 24 32 0
+0 0 0 0 0 18 24 34 0.6
+0 0 0 0 0 18 24 36 1.2
+0 0 0 0 0 18 24 38 1.8
+0 0 0 0 0 18 24 40 2.4
+0 0 0 0 0 18 24 42 3
+0 0 0 0 0 18 24 44 3.6
+0 0 0 0 0 18 24 46 4.2
+0 0 0 0 0 18 24 48 4.8
+0 0 0 0 0 18 24 50 5.4
+0 0 0 0 0 18 24 52 6
+0 0 0 0 0 18 24 54 6.6
+0 0 0 0 0 18 24 56 7.2
+0 0 0 0 0 18 24 58 7.8
+0 0 0 0 0 18 24 60 8.4
+0 0 0 0 0 18 24 62 9
+0 0 0 0 0 18 24 64 9.6
+0 0 0 0 0 18 24 66 10.2
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -4.5
+1 0 1 0 0 18 24 18 -4.2
+1 0 1 0 0 18 24 19 -3.9
+1 0 1 0 0 18 24 20 -3.6
+1 0 1 0 0 18 24 21 -3.3
+1 0 1 0 0 18 24 22 -3
+1 0 1 0 0 18 24 23 -2.7
+1 0 1 0 0 18 24 24 -2.4
+1 0 1 0 0 18 24 25 -2.1
+1 0 1 0 0 18 24 26 -1.8
+1 0 1 0 0 18 24 27 -1.5
+1 0 1 0 0 18 24 28 -1.2
+1 0 1 0 0 18 24 29 -0.9
+1 0 1 0 0 18 24 30 -0.6
+1 0 1 0 0 18 24 31 -0.3
+1 0 1 0 0 18 24 32 0
+1 0 1 0 0 18 24 33 0.3
+1 0 1 0 0 18 24 34 0.6
+1 0 1 0 0 18 24 35 0.9
+1 0 1 0 0 18 24 36 1.2
+1 0 1 0 0 18 24 37 1.5
+1 0 1 0 0 18 24 38 1.8
+1 0 1 0 0 18 24 39 2.1
+1 0 1 0 0 18 24 40 2.4
+1 0 1 0 0 18 24 41 2.7
+1 0 1 0 0 18 24 42 3
+1 0 1 0 0 18 24 43 3.3
+1 0 1 0 0 18 24 44 3.6
+1 0 1 0 0 18 24 45 3.9
+1 0 1 0 0 18 24 46 4.2
+1 0 1 0 0 18 24 47 4.5
+1 0 1 0 0 18 24 48 4.8
+1 0 1 0 0 18 24 49 5.1
+1 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -4.5
+2 0 1 0 0 18 24 18 -4.2
+2 0 1 0 0 18 24 19 -3.9
+2 0 1 0 0 18 24 20 -3.6
+2 0 1 0 0 18 24 21 -3.3
+2 0 1 0 0 18 24 22 -3
+2 0 1 0 0 18 24 23 -2.7
+2 0 1 0 0 18 24 24 -2.4
+2 0 1 0 0 18 24 25 -2.1
+2 0 1 0 0 18 24 26 -1.8
+2 0 1 0 0 18 24 27 -1.5
+2 0 1 0 0 18 24 28 -1.2
+2 0 1 0 0 18 24 29 -0.9
+2 0 1 0 0 18 24 30 -0.6
+2 0 1 0 0 18 24 31 -0.3
+2 0 1 0 0 18 24 32 0
+2 0 1 0 0 18 24 33 0.3
+2 0 1 0 0 18 24 34 0.6
+2 0 1 0 0 18 24 35 0.9
+2 0 1 0 0 18 24 36 1.2
+2 0 1 0 0 18 24 37 1.5
+2 0 1 0 0 18 24 38 1.8
+2 0 1 0 0 18 24 39 2.1
+2 0 1 0 0 18 24 40 2.4
+2 0 1 0 0 18 24 41 2.7
+2 0 1 0 0 18 24 42 3
+2 0 1 0 0 18 24 43 3.3
+2 0 1 0 0 18 24 44 3.6
+2 0 1 0 0 18 24 45 3.9
+2 0 1 0 0 18 24 46 4.2
+2 0 1 0 0 18 24 47 4.5
+2 0 1 0 0 18 24 48 4.8
+2 0 1 0 0 18 24 49 5.1
+2 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 -9.6
+2 0 0 0 0 18 24 2 -9
+2 0 0 0 0 18 24 4 -8.4
+2 0 0 0 0 18 24 6 -7.8
+2 0 0 0 0 18 24 8 -7.2
+2 0 0 0 0 18 24 10 -6.6
+2 0 0 0 0 18 24 12 -6
+2 0 0 0 0 18 24 14 -5.4
+2 0 0 0 0 18 24 16 -4.8
+2 0 0 0 0 18 24 18 -4.2
+2 0 0 0 0 18 24 20 -3.6
+2 0 0 0 0 18 24 22 -3
+2 0 0 0 0 18 24 24 -2.4
+2 0 0 0 0 18 24 26 -1.8
+2 0 0 0 0 18 24 28 -1.2
+2 0 0 0 0 18 24 30 -0.6
+2 0 0 0 0 18 24 32 0
+2 0 0 0 0 18 24 34 0.6
+2 0 0 0 0 18 24 36 1.2
+2 0 0 0 0 18 24 38 1.8
+2 0 0 0 0 18 24 40 2.4
+2 0 0 0 0 18 24 42 3
+2 0 0 0 0 18 24 44 3.6
+2 0 0 0 0 18 24 46 4.2
+2 0 0 0 0 18 24 48 4.8
+2 0 0 0 0 18 24 50 5.4
+2 0 0 0 0 18 24 52 6
+2 0 0 0 0 18 24 54 6.6
+2 0 0 0 0 18 24 56 7.2
+2 0 0 0 0 18 24 58 7.8
+2 0 0 0 0 18 24 60 8.4
+2 0 0 0 0 18 24 62 9
+2 0 0 0 0 18 24 64 9.6
+2 0 0 0 0 18 24 66 10.2
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -4.5
+3 0 1 0 0 18 24 18 -4.2
+3 0 1 0 0 18 24 19 -3.9
+3 0 1 0 0 18 24 20 -3.6
+3 0 1 0 0 18 24 21 -3.3
+3 0 1 0 0 18 24 22 -3
+3 0 1 0 0 18 24 23 -2.7
+3 0 1 0 0 18 24 24 -2.4
+3 0 1 0 0 18 24 25 -2.1
+3 0 1 0 0 18 24 26 -1.8
+3 0 1 0 0 18 24 27 -1.5
+3 0 1 0 0 18 24 28 -1.2
+3 0 1 0 0 18 24 29 -0.9
+3 0 1 0 0 18 24 30 -0.6
+3 0 1 0 0 18 24 31 -0.3
+3 0 1 0 0 18 24 32 0
+3 0 1 0 0 18 24 33 0.3
+3 0 1 0 0 18 24 34 0.6
+3 0 1 0 0 18 24 35 0.9
+3 0 1 0 0 18 24 36 1.2
+3 0 1 0 0 18 24 37 1.5
+3 0 1 0 0 18 24 38 1.8
+3 0 1 0 0 18 24 39 2.1
+3 0 1 0 0 18 24 40 2.4
+3 0 1 0 0 18 24 41 2.7
+3 0 1 0 0 18 24 42 3
+3 0 1 0 0 18 24 43 3.3
+3 0 1 0 0 18 24 44 3.6
+3 0 1 0 0 18 24 45 3.9
+3 0 1 0 0 18 24 46 4.2
+3 0 1 0 0 18 24 47 4.5
+3 0 1 0 0 18 24 48 4.8
+3 0 1 0 0 18 24 49 5.1
+3 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -4.5
+4 0 1 0 0 18 24 18 -4.2
+4 0 1 0 0 18 24 19 -3.9
+4 0 1 0 0 18 24 20 -3.6
+4 0 1 0 0 18 24 21 -3.3
+4 0 1 0 0 18 24 22 -3
+4 0 1 0 0 18 24 23 -2.7
+4 0 1 0 0 18 24 24 -2.4
+4 0 1 0 0 18 24 25 -2.1
+4 0 1 0 0 18 24 26 -1.8
+4 0 1 0 0 18 24 27 -1.5
+4 0 1 0 0 18 24 28 -1.2
+4 0 1 0 0 18 24 29 -0.9
+4 0 1 0 0 18 24 30 -0.6
+4 0 1 0 0 18 24 31 -0.3
+4 0 1 0 0 18 24 32 0
+4 0 1 0 0 18 24 33 0.3
+4 0 1 0 0 18 24 34 0.6
+4 0 1 0 0 18 24 35 0.9
+4 0 1 0 0 18 24 36 1.2
+4 0 1 0 0 18 24 37 1.5
+4 0 1 0 0 18 24 38 1.8
+4 0 1 0 0 18 24 39 2.1
+4 0 1 0 0 18 24 40 2.4
+4 0 1 0 0 18 24 41 2.7
+4 0 1 0 0 18 24 42 3
+4 0 1 0 0 18 24 43 3.3
+4 0 1 0 0 18 24 44 3.6
+4 0 1 0 0 18 24 45 3.9
+4 0 1 0 0 18 24 46 4.2
+4 0 1 0 0 18 24 47 4.5
+4 0 1 0 0 18 24 48 4.8
+4 0 1 0 0 18 24 49 5.1
+4 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 -9.6
+4 0 0 0 0 18 24 2 -9
+4 0 0 0 0 18 24 4 -8.4
+4 0 0 0 0 18 24 6 -7.8
+4 0 0 0 0 18 24 8 -7.2
+4 0 0 0 0 18 24 10 -6.6
+4 0 0 0 0 18 24 12 -6
+4 0 0 0 0 18 24 14 -5.4
+4 0 0 0 0 18 24 16 -4.8
+4 0 0 0 0 18 24 18 -4.2
+4 0 0 0 0 18 24 20 -3.6
+4 0 0 0 0 18 24 22 -3
+4 0 0 0 0 18 24 24 -2.4
+4 0 0 0 0 18 24 26 -1.8
+4 0 0 0 0 18 24 28 -1.2
+4 0 0 0 0 18 24 30 -0.6
+4 0 0 0 0 18 24 32 0
+4 0 0 0 0 18 24 34 0.6
+4 0 0 0 0 18 24 36 1.2
+4 0 0 0 0 18 24 38 1.8
+4 0 0 0 0 18 24 40 2.4
+4 0 0 0 0 18 24 42 3
+4 0 0 0 0 18 24 44 3.6
+4 0 0 0 0 18 24 46 4.2
+4 0 0 0 0 18 24 48 4.8
+4 0 0 0 0 18 24 50 5.4
+4 0 0 0 0 18 24 52 6
+4 0 0 0 0 18 24 54 6.6
+4 0 0 0 0 18 24 56 7.2
+4 0 0 0 0 18 24 58 7.8
+4 0 0 0 0 18 24 60 8.4
+4 0 0 0 0 18 24 62 9
+4 0 0 0 0 18 24 64 9.6
+4 0 0 0 0 18 24 66 10.2
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -4.5
+5 0 1 0 0 18 24 18 -4.2
+5 0 1 0 0 18 24 19 -3.9
+5 0 1 0 0 18 24 20 -3.6
+5 0 1 0 0 18 24 21 -3.3
+5 0 1 0 0 18 24 22 -3
+5 0 1 0 0 18 24 23 -2.7
+5 0 1 0 0 18 24 24 -2.4
+5 0 1 0 0 18 24 25 -2.1
+5 0 1 0 0 18 24 26 -1.8
+5 0 1 0 0 18 24 27 -1.5
+5 0 1 0 0 18 24 28 -1.2
+5 0 1 0 0 18 24 29 -0.9
+5 0 1 0 0 18 24 30 -0.6
+5 0 1 0 0 18 24 31 -0.3
+5 0 1 0 0 18 24 32 0
+5 0 1 0 0 18 24 33 0.3
+5 0 1 0 0 18 24 34 0.6
+5 0 1 0 0 18 24 35 0.9
+5 0 1 0 0 18 24 36 1.2
+5 0 1 0 0 18 24 37 1.5
+5 0 1 0 0 18 24 38 1.8
+5 0 1 0 0 18 24 39 2.1
+5 0 1 0 0 18 24 40 2.4
+5 0 1 0 0 18 24 41 2.7
+5 0 1 0 0 18 24 42 3
+5 0 1 0 0 18 24 43 3.3
+5 0 1 0 0 18 24 44 3.6
+5 0 1 0 0 18 24 45 3.9
+5 0 1 0 0 18 24 46 4.2
+5 0 1 0 0 18 24 47 4.5
+5 0 1 0 0 18 24 48 4.8
+5 0 1 0 0 18 24 49 5.1
+5 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -4.5
+6 0 1 0 0 18 24 18 -4.2
+6 0 1 0 0 18 24 19 -3.9
+6 0 1 0 0 18 24 20 -3.6
+6 0 1 0 0 18 24 21 -3.3
+6 0 1 0 0 18 24 22 -3
+6 0 1 0 0 18 24 23 -2.7
+6 0 1 0 0 18 24 24 -2.4
+6 0 1 0 0 18 24 25 -2.1
+6 0 1 0 0 18 24 26 -1.8
+6 0 1 0 0 18 24 27 -1.5
+6 0 1 0 0 18 24 28 -1.2
+6 0 1 0 0 18 24 29 -0.9
+6 0 1 0 0 18 24 30 -0.6
+6 0 1 0 0 18 24 31 -0.3
+6 0 1 0 0 18 24 32 0
+6 0 1 0 0 18 24 33 0.3
+6 0 1 0 0 18 24 34 0.6
+6 0 1 0 0 18 24 35 0.9
+6 0 1 0 0 18 24 36 1.2
+6 0 1 0 0 18 24 37 1.5
+6 0 1 0 0 18 24 38 1.8
+6 0 1 0 0 18 24 39 2.1
+6 0 1 0 0 18 24 40 2.4
+6 0 1 0 0 18 24 41 2.7
+6 0 1 0 0 18 24 42 3
+6 0 1 0 0 18 24 43 3.3
+6 0 1 0 0 18 24 44 3.6
+6 0 1 0 0 18 24 45 3.9
+6 0 1 0 0 18 24 46 4.2
+6 0 1 0 0 18 24 47 4.5
+6 0 1 0 0 18 24 48 4.8
+6 0 1 0 0 18 24 49 5.1
+6 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 -9.6
+6 0 0 0 0 18 24 2 -9
+6 0 0 0 0 18 24 4 -8.4
+6 0 0 0 0 18 24 6 -7.8
+6 0 0 0 0 18 24 8 -7.2
+6 0 0 0 0 18 24 10 -6.6
+6 0 0 0 0 18 24 12 -6
+6 0 0 0 0 18 24 14 -5.4
+6 0 0 0 0 18 24 16 -4.8
+6 0 0 0 0 18 24 18 -4.2
+6 0 0 0 0 18 24 20 -3.6
+6 0 0 0 0 18 24 22 -3
+6 0 0 0 0 18 24 24 -2.4
+6 0 0 0 0 18 24 26 -1.8
+6 0 0 0 0 18 24 28 -1.2
+6 0 0 0 0 18 24 30 -0.6
+6 0 0 0 0 18 24 32 0
+6 0 0 0 0 18 24 34 0.6
+6 0 0 0 0 18 24 36 1.2
+6 0 0 0 0 18 24 38 1.8
+6 0 0 0 0 18 24 40 2.4
+6 0 0 0 0 18 24 42 3
+6 0 0 0 0 18 24 44 3.6
+6 0 0 0 0 18 24 46 4.2
+6 0 0 0 0 18 24 48 4.8
+6 0 0 0 0 18 24 50 5.4
+6 0 0 0 0 18 24 52 6
+6 0 0 0 0 18 24 54 6.6
+6 0 0 0 0 18 24 56 7.2
+6 0 0 0 0 18 24 58 7.8
+6 0 0 0 0 18 24 60 8.4
+6 0 0 0 0 18 24 62 9
+6 0 0 0 0 18 24 64 9.6
+6 0 0 0 0 18 24 66 10.2
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -4.5
+7 0 1 0 0 18 24 18 -4.2
+7 0 1 0 0 18 24 19 -3.9
+7 0 1 0 0 18 24 20 -3.6
+7 0 1 0 0 18 24 21 -3.3
+7 0 1 0 0 18 24 22 -3
+7 0 1 0 0 18 24 23 -2.7
+7 0 1 0 0 18 24 24 -2.4
+7 0 1 0 0 18 24 25 -2.1
+7 0 1 0 0 18 24 26 -1.8
+7 0 1 0 0 18 24 27 -1.5
+7 0 1 0 0 18 24 28 -1.2
+7 0 1 0 0 18 24 29 -0.9
+7 0 1 0 0 18 24 30 -0.6
+7 0 1 0 0 18 24 31 -0.3
+7 0 1 0 0 18 24 32 0
+7 0 1 0 0 18 24 33 0.3
+7 0 1 0 0 18 24 34 0.6
+7 0 1 0 0 18 24 35 0.9
+7 0 1 0 0 18 24 36 1.2
+7 0 1 0 0 18 24 37 1.5
+7 0 1 0 0 18 24 38 1.8
+7 0 1 0 0 18 24 39 2.1
+7 0 1 0 0 18 24 40 2.4
+7 0 1 0 0 18 24 41 2.7
+7 0 1 0 0 18 24 42 3
+7 0 1 0 0 18 24 43 3.3
+7 0 1 0 0 18 24 44 3.6
+7 0 1 0 0 18 24 45 3.9
+7 0 1 0 0 18 24 46 4.2
+7 0 1 0 0 18 24 47 4.5
+7 0 1 0 0 18 24 48 4.8
+7 0 1 0 0 18 24 49 5.1
+7 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -4.5
+8 0 1 0 0 18 24 18 -4.2
+8 0 1 0 0 18 24 19 -3.9
+8 0 1 0 0 18 24 20 -3.6
+8 0 1 0 0 18 24 21 -3.3
+8 0 1 0 0 18 24 22 -3
+8 0 1 0 0 18 24 23 -2.7
+8 0 1 0 0 18 24 24 -2.4
+8 0 1 0 0 18 24 25 -2.1
+8 0 1 0 0 18 24 26 -1.8
+8 0 1 0 0 18 24 27 -1.5
+8 0 1 0 0 18 24 28 -1.2
+8 0 1 0 0 18 24 29 -0.9
+8 0 1 0 0 18 24 30 -0.6
+8 0 1 0 0 18 24 31 -0.3
+8 0 1 0 0 18 24 32 0
+8 0 1 0 0 18 24 33 0.3
+8 0 1 0 0 18 24 34 0.6
+8 0 1 0 0 18 24 35 0.9
+8 0 1 0 0 18 24 36 1.2
+8 0 1 0 0 18 24 37 1.5
+8 0 1 0 0 18 24 38 1.8
+8 0 1 0 0 18 24 39 2.1
+8 0 1 0 0 18 24 40 2.4
+8 0 1 0 0 18 24 41 2.7
+8 0 1 0 0 18 24 42 3
+8 0 1 0 0 18 24 43 3.3
+8 0 1 0 0 18 24 44 3.6
+8 0 1 0 0 18 24 45 3.9
+8 0 1 0 0 18 24 46 4.2
+8 0 1 0 0 18 24 47 4.5
+8 0 1 0 0 18 24 48 4.8
+8 0 1 0 0 18 24 49 5.1
+8 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 -9.6
+8 0 0 0 0 18 24 2 -9
+8 0 0 0 0 18 24 4 -8.4
+8 0 0 0 0 18 24 6 -7.8
+8 0 0 0 0 18 24 8 -7.2
+8 0 0 0 0 18 24 10 -6.6
+8 0 0 0 0 18 24 12 -6
+8 0 0 0 0 18 24 14 -5.4
+8 0 0 0 0 18 24 16 -4.8
+8 0 0 0 0 18 24 18 -4.2
+8 0 0 0 0 18 24 20 -3.6
+8 0 0 0 0 18 24 22 -3
+8 0 0 0 0 18 24 24 -2.4
+8 0 0 0 0 18 24 26 -1.8
+8 0 0 0 0 18 24 28 -1.2
+8 0 0 0 0 18 24 30 -0.6
+8 0 0 0 0 18 24 32 0
+8 0 0 0 0 18 24 34 0.6
+8 0 0 0 0 18 24 36 1.2
+8 0 0 0 0 18 24 38 1.8
+8 0 0 0 0 18 24 40 2.4
+8 0 0 0 0 18 24 42 3
+8 0 0 0 0 18 24 44 3.6
+8 0 0 0 0 18 24 46 4.2
+8 0 0 0 0 18 24 48 4.8
+8 0 0 0 0 18 24 50 5.4
+8 0 0 0 0 18 24 52 6
+8 0 0 0 0 18 24 54 6.6
+8 0 0 0 0 18 24 56 7.2
+8 0 0 0 0 18 24 58 7.8
+8 0 0 0 0 18 24 60 8.4
+8 0 0 0 0 18 24 62 9
+8 0 0 0 0 18 24 64 9.6
+8 0 0 0 0 18 24 66 10.2
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -4.5
+9 0 1 0 0 18 24 18 -4.2
+9 0 1 0 0 18 24 19 -3.9
+9 0 1 0 0 18 24 20 -3.6
+9 0 1 0 0 18 24 21 -3.3
+9 0 1 0 0 18 24 22 -3
+9 0 1 0 0 18 24 23 -2.7
+9 0 1 0 0 18 24 24 -2.4
+9 0 1 0 0 18 24 25 -2.1
+9 0 1 0 0 18 24 26 -1.8
+9 0 1 0 0 18 24 27 -1.5
+9 0 1 0 0 18 24 28 -1.2
+9 0 1 0 0 18 24 29 -0.9
+9 0 1 0 0 18 24 30 -0.6
+9 0 1 0 0 18 24 31 -0.3
+9 0 1 0 0 18 24 32 0
+9 0 1 0 0 18 24 33 0.3
+9 0 1 0 0 18 24 34 0.6
+9 0 1 0 0 18 24 35 0.9
+9 0 1 0 0 18 24 36 1.2
+9 0 1 0 0 18 24 37 1.5
+9 0 1 0 0 18 24 38 1.8
+9 0 1 0 0 18 24 39 2.1
+9 0 1 0 0 18 24 40 2.4
+9 0 1 0 0 18 24 41 2.7
+9 0 1 0 0 18 24 42 3
+9 0 1 0 0 18 24 43 3.3
+9 0 1 0 0 18 24 44 3.6
+9 0 1 0 0 18 24 45 3.9
+9 0 1 0 0 18 24 46 4.2
+9 0 1 0 0 18 24 47 4.5
+9 0 1 0 0 18 24 48 4.8
+9 0 1 0 0 18 24 49 5.1
+9 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 -4.5
+10 0 1 0 0 18 24 18 -4.2
+10 0 1 0 0 18 24 19 -3.9
+10 0 1 0 0 18 24 20 -3.6
+10 0 1 0 0 18 24 21 -3.3
+10 0 1 0 0 18 24 22 -3
+10 0 1 0 0 18 24 23 -2.7
+10 0 1 0 0 18 24 24 -2.4
+10 0 1 0 0 18 24 25 -2.1
+10 0 1 0 0 18 24 26 -1.8
+10 0 1 0 0 18 24 27 -1.5
+10 0 1 0 0 18 24 28 -1.2
+10 0 1 0 0 18 24 29 -0.9
+10 0 1 0 0 18 24 30 -0.6
+10 0 1 0 0 18 24 31 -0.3
+10 0 1 0 0 18 24 32 0
+10 0 1 0 0 18 24 33 0.3
+10 0 1 0 0 18 24 34 0.6
+10 0 1 0 0 18 24 35 0.9
+10 0 1 0 0 18 24 36 1.2
+10 0 1 0 0 18 24 37 1.5
+10 0 1 0 0 18 24 38 1.8
+10 0 1 0 0 18 24 39 2.1
+10 0 1 0 0 18 24 40 2.4
+10 0 1 0 0 18 24 41 2.7
+10 0 1 0 0 18 24 42 3
+10 0 1 0 0 18 24 43 3.3
+10 0 1 0 0 18 24 44 3.6
+10 0 1 0 0 18 24 45 3.9
+10 0 1 0 0 18 24 46 4.2
+10 0 1 0 0 18 24 47 4.5
+10 0 1 0 0 18 24 48 4.8
+10 0 1 0 0 18 24 49 5.1
+10 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 -9.6
+10 0 0 0 0 18 24 2 -9
+10 0 0 0 0 18 24 4 -8.4
+10 0 0 0 0 18 24 6 -7.8
+10 0 0 0 0 18 24 8 -7.2
+10 0 0 0 0 18 24 10 -6.6
+10 0 0 0 0 18 24 12 -6
+10 0 0 0 0 18 24 14 -5.4
+10 0 0 0 0 18 24 16 -4.8
+10 0 0 0 0 18 24 18 -4.2
+10 0 0 0 0 18 24 20 -3.6
+10 0 0 0 0 18 24 22 -3
+10 0 0 0 0 18 24 24 -2.4
+10 0 0 0 0 18 24 26 -1.8
+10 0 0 0 0 18 24 28 -1.2
+10 0 0 0 0 18 24 30 -0.6
+10 0 0 0 0 18 24 32 0
+10 0 0 0 0 18 24 34 0.6
+10 0 0 0 0 18 24 36 1.2
+10 0 0 0 0 18 24 38 1.8
+10 0 0 0 0 18 24 40 2.4
+10 0 0 0 0 18 24 42 3
+10 0 0 0 0 18 24 44 3.6
+10 0 0 0 0 18 24 46 4.2
+10 0 0 0 0 18 24 48 4.8
+10 0 0 0 0 18 24 50 5.4
+10 0 0 0 0 18 24 52 6
+10 0 0 0 0 18 24 54 6.6
+10 0 0 0 0 18 24 56 7.2
+10 0 0 0 0 18 24 58 7.8
+10 0 0 0 0 18 24 60 8.4
+10 0 0 0 0 18 24 62 9
+10 0 0 0 0 18 24 64 9.6
+10 0 0 0 0 18 24 66 10.2
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 -4.5
+11 0 1 0 0 18 24 18 -4.2
+11 0 1 0 0 18 24 19 -3.9
+11 0 1 0 0 18 24 20 -3.6
+11 0 1 0 0 18 24 21 -3.3
+11 0 1 0 0 18 24 22 -3
+11 0 1 0 0 18 24 23 -2.7
+11 0 1 0 0 18 24 24 -2.4
+11 0 1 0 0 18 24 25 -2.1
+11 0 1 0 0 18 24 26 -1.8
+11 0 1 0 0 18 24 27 -1.5
+11 0 1 0 0 18 24 28 -1.2
+11 0 1 0 0 18 24 29 -0.9
+11 0 1 0 0 18 24 30 -0.6
+11 0 1 0 0 18 24 31 -0.3
+11 0 1 0 0 18 24 32 0
+11 0 1 0 0 18 24 33 0.3
+11 0 1 0 0 18 24 34 0.6
+11 0 1 0 0 18 24 35 0.9
+11 0 1 0 0 18 24 36 1.2
+11 0 1 0 0 18 24 37 1.5
+11 0 1 0 0 18 24 38 1.8
+11 0 1 0 0 18 24 39 2.1
+11 0 1 0 0 18 24 40 2.4
+11 0 1 0 0 18 24 41 2.7
+11 0 1 0 0 18 24 42 3
+11 0 1 0 0 18 24 43 3.3
+11 0 1 0 0 18 24 44 3.6
+11 0 1 0 0 18 24 45 3.9
+11 0 1 0 0 18 24 46 4.2
+11 0 1 0 0 18 24 47 4.5
+11 0 1 0 0 18 24 48 4.8
+11 0 1 0 0 18 24 49 5.1
+11 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 -4.5
+12 0 1 0 0 18 24 18 -4.2
+12 0 1 0 0 18 24 19 -3.9
+12 0 1 0 0 18 24 20 -3.6
+12 0 1 0 0 18 24 21 -3.3
+12 0 1 0 0 18 24 22 -3
+12 0 1 0 0 18 24 23 -2.7
+12 0 1 0 0 18 24 24 -2.4
+12 0 1 0 0 18 24 25 -2.1
+12 0 1 0 0 18 24 26 -1.8
+12 0 1 0 0 18 24 27 -1.5
+12 0 1 0 0 18 24 28 -1.2
+12 0 1 0 0 18 24 29 -0.9
+12 0 1 0 0 18 24 30 -0.6
+12 0 1 0 0 18 24 31 -0.3
+12 0 1 0 0 18 24 32 0
+12 0 1 0 0 18 24 33 0.3
+12 0 1 0 0 18 24 34 0.6
+12 0 1 0 0 18 24 35 0.9
+12 0 1 0 0 18 24 36 1.2
+12 0 1 0 0 18 24 37 1.5
+12 0 1 0 0 18 24 38 1.8
+12 0 1 0 0 18 24 39 2.1
+12 0 1 0 0 18 24 40 2.4
+12 0 1 0 0 18 24 41 2.7
+12 0 1 0 0 18 24 42 3
+12 0 1 0 0 18 24 43 3.3
+12 0 1 0 0 18 24 44 3.6
+12 0 1 0 0 18 24 45 3.9
+12 0 1 0 0 18 24 46 4.2
+12 0 1 0 0 18 24 47 4.5
+12 0 1 0 0 18 24 48 4.8
+12 0 1 0 0 18 24 49 5.1
+12 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 -9.6
+12 0 0 0 0 18 24 2 -9
+12 0 0 0 0 18 24 4 -8.4
+12 0 0 0 0 18 24 6 -7.8
+12 0 0 0 0 18 24 8 -7.2
+12 0 0 0 0 18 24 10 -6.6
+12 0 0 0 0 18 24 12 -6
+12 0 0 0 0 18 24 14 -5.4
+12 0 0 0 0 18 24 16 -4.8
+12 0 0 0 0 18 24 18 -4.2
+12 0 0 0 0 18 24 20 -3.6
+12 0 0 0 0 18 24 22 -3
+12 0 0 0 0 18 24 24 -2.4
+12 0 0 0 0 18 24 26 -1.8
+12 0 0 0 0 18 24 28 -1.2
+12 0 0 0 0 18 24 30 -0.6
+12 0 0 0 0 18 24 32 0
+12 0 0 0 0 18 24 34 0.6
+12 0 0 0 0 18 24 36 1.2
+12 0 0 0 0 18 24 38 1.8
+12 0 0 0 0 18 24 40 2.4
+12 0 0 0 0 18 24 42 3
+12 0 0 0 0 18 24 44 3.6
+12 0 0 0 0 18 24 46 4.2
+12 0 0 0 0 18 24 48 4.8
+12 0 0 0 0 18 24 50 5.4
+12 0 0 0 0 18 24 52 6
+12 0 0 0 0 18 24 54 6.6
+12 0 0 0 0 18 24 56 7.2
+12 0 0 0 0 18 24 58 7.8
+12 0 0 0 0 18 24 60 8.4
+12 0 0 0 0 18 24 62 9
+12 0 0 0 0 18 24 64 9.6
+12 0 0 0 0 18 24 66 10.2
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.xl
new file mode 100644
index 000000000..c73d4d829
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.xl
@@ -0,0 +1,482 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 2.7
+0 0 1 0 0 10 24 32 2.4
+0 0 1 0 0 11 24 32 2.1
+0 0 1 0 0 12 24 32 1.8
+0 0 1 0 0 13 24 32 1.5
+0 0 1 0 0 14 24 32 1.2
+0 0 1 0 0 15 24 32 0.9
+0 0 1 0 0 16 24 32 0.6
+0 0 1 0 0 17 24 32 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 19 24 32 0.3
+0 0 1 0 0 20 24 32 0.600000000000001
+0 0 1 0 0 21 24 32 0.900000000000001
+0 0 1 0 0 22 24 32 1.2
+0 0 1 0 0 23 24 32 1.5
+0 0 1 0 0 24 24 32 1.8
+0 0 1 0 0 25 24 32 2.1
+0 0 1 0 0 26 24 32 2.4
+0 0 1 0 0 27 24 32 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 5.4
+0 0 0 0 0 2 24 32 4.8
+0 0 0 0 0 4 24 32 4.2
+0 0 0 0 0 6 24 32 3.6
+0 0 0 0 0 8 24 32 3
+0 0 0 0 0 10 24 32 2.4
+0 0 0 0 0 12 24 32 1.8
+0 0 0 0 0 14 24 32 1.2
+0 0 0 0 0 16 24 32 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 20 24 32 0.600000000000001
+0 0 0 0 0 22 24 32 1.2
+0 0 0 0 0 24 24 32 1.8
+0 0 0 0 0 26 24 32 2.4
+0 0 0 0 0 28 24 32 3
+0 0 0 0 0 30 24 32 3.6
+0 0 0 0 0 32 24 32 4.2
+0 0 0 0 0 34 24 32 4.8
+0 0 0 0 0 36 24 32 5.4
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 2.7
+1 0 1 0 0 10 24 32 2.4
+1 0 1 0 0 11 24 32 2.1
+1 0 1 0 0 12 24 32 1.8
+1 0 1 0 0 13 24 32 1.5
+1 0 1 0 0 14 24 32 1.2
+1 0 1 0 0 15 24 32 0.9
+1 0 1 0 0 16 24 32 0.6
+1 0 1 0 0 17 24 32 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 19 24 32 0.3
+1 0 1 0 0 20 24 32 0.600000000000001
+1 0 1 0 0 21 24 32 0.900000000000001
+1 0 1 0 0 22 24 32 1.2
+1 0 1 0 0 23 24 32 1.5
+1 0 1 0 0 24 24 32 1.8
+1 0 1 0 0 25 24 32 2.1
+1 0 1 0 0 26 24 32 2.4
+1 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 2.7
+2 0 1 0 0 10 24 32 2.4
+2 0 1 0 0 11 24 32 2.1
+2 0 1 0 0 12 24 32 1.8
+2 0 1 0 0 13 24 32 1.5
+2 0 1 0 0 14 24 32 1.2
+2 0 1 0 0 15 24 32 0.9
+2 0 1 0 0 16 24 32 0.6
+2 0 1 0 0 17 24 32 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 19 24 32 0.3
+2 0 1 0 0 20 24 32 0.600000000000001
+2 0 1 0 0 21 24 32 0.900000000000001
+2 0 1 0 0 22 24 32 1.2
+2 0 1 0 0 23 24 32 1.5
+2 0 1 0 0 24 24 32 1.8
+2 0 1 0 0 25 24 32 2.1
+2 0 1 0 0 26 24 32 2.4
+2 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 5.4
+2 0 0 0 0 2 24 32 4.8
+2 0 0 0 0 4 24 32 4.2
+2 0 0 0 0 6 24 32 3.6
+2 0 0 0 0 8 24 32 3
+2 0 0 0 0 10 24 32 2.4
+2 0 0 0 0 12 24 32 1.8
+2 0 0 0 0 14 24 32 1.2
+2 0 0 0 0 16 24 32 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 20 24 32 0.600000000000001
+2 0 0 0 0 22 24 32 1.2
+2 0 0 0 0 24 24 32 1.8
+2 0 0 0 0 26 24 32 2.4
+2 0 0 0 0 28 24 32 3
+2 0 0 0 0 30 24 32 3.6
+2 0 0 0 0 32 24 32 4.2
+2 0 0 0 0 34 24 32 4.8
+2 0 0 0 0 36 24 32 5.4
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 2.7
+3 0 1 0 0 10 24 32 2.4
+3 0 1 0 0 11 24 32 2.1
+3 0 1 0 0 12 24 32 1.8
+3 0 1 0 0 13 24 32 1.5
+3 0 1 0 0 14 24 32 1.2
+3 0 1 0 0 15 24 32 0.9
+3 0 1 0 0 16 24 32 0.6
+3 0 1 0 0 17 24 32 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 19 24 32 0.3
+3 0 1 0 0 20 24 32 0.600000000000001
+3 0 1 0 0 21 24 32 0.900000000000001
+3 0 1 0 0 22 24 32 1.2
+3 0 1 0 0 23 24 32 1.5
+3 0 1 0 0 24 24 32 1.8
+3 0 1 0 0 25 24 32 2.1
+3 0 1 0 0 26 24 32 2.4
+3 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 2.7
+4 0 1 0 0 10 24 32 2.4
+4 0 1 0 0 11 24 32 2.1
+4 0 1 0 0 12 24 32 1.8
+4 0 1 0 0 13 24 32 1.5
+4 0 1 0 0 14 24 32 1.2
+4 0 1 0 0 15 24 32 0.9
+4 0 1 0 0 16 24 32 0.6
+4 0 1 0 0 17 24 32 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 19 24 32 0.3
+4 0 1 0 0 20 24 32 0.600000000000001
+4 0 1 0 0 21 24 32 0.900000000000001
+4 0 1 0 0 22 24 32 1.2
+4 0 1 0 0 23 24 32 1.5
+4 0 1 0 0 24 24 32 1.8
+4 0 1 0 0 25 24 32 2.1
+4 0 1 0 0 26 24 32 2.4
+4 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 5.4
+4 0 0 0 0 2 24 32 4.8
+4 0 0 0 0 4 24 32 4.2
+4 0 0 0 0 6 24 32 3.6
+4 0 0 0 0 8 24 32 3
+4 0 0 0 0 10 24 32 2.4
+4 0 0 0 0 12 24 32 1.8
+4 0 0 0 0 14 24 32 1.2
+4 0 0 0 0 16 24 32 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 20 24 32 0.600000000000001
+4 0 0 0 0 22 24 32 1.2
+4 0 0 0 0 24 24 32 1.8
+4 0 0 0 0 26 24 32 2.4
+4 0 0 0 0 28 24 32 3
+4 0 0 0 0 30 24 32 3.6
+4 0 0 0 0 32 24 32 4.2
+4 0 0 0 0 34 24 32 4.8
+4 0 0 0 0 36 24 32 5.4
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 2.7
+5 0 1 0 0 10 24 32 2.4
+5 0 1 0 0 11 24 32 2.1
+5 0 1 0 0 12 24 32 1.8
+5 0 1 0 0 13 24 32 1.5
+5 0 1 0 0 14 24 32 1.2
+5 0 1 0 0 15 24 32 0.9
+5 0 1 0 0 16 24 32 0.6
+5 0 1 0 0 17 24 32 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 19 24 32 0.3
+5 0 1 0 0 20 24 32 0.600000000000001
+5 0 1 0 0 21 24 32 0.900000000000001
+5 0 1 0 0 22 24 32 1.2
+5 0 1 0 0 23 24 32 1.5
+5 0 1 0 0 24 24 32 1.8
+5 0 1 0 0 25 24 32 2.1
+5 0 1 0 0 26 24 32 2.4
+5 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 2.7
+6 0 1 0 0 10 24 32 2.4
+6 0 1 0 0 11 24 32 2.1
+6 0 1 0 0 12 24 32 1.8
+6 0 1 0 0 13 24 32 1.5
+6 0 1 0 0 14 24 32 1.2
+6 0 1 0 0 15 24 32 0.9
+6 0 1 0 0 16 24 32 0.6
+6 0 1 0 0 17 24 32 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 19 24 32 0.3
+6 0 1 0 0 20 24 32 0.600000000000001
+6 0 1 0 0 21 24 32 0.900000000000001
+6 0 1 0 0 22 24 32 1.2
+6 0 1 0 0 23 24 32 1.5
+6 0 1 0 0 24 24 32 1.8
+6 0 1 0 0 25 24 32 2.1
+6 0 1 0 0 26 24 32 2.4
+6 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 5.4
+6 0 0 0 0 2 24 32 4.8
+6 0 0 0 0 4 24 32 4.2
+6 0 0 0 0 6 24 32 3.6
+6 0 0 0 0 8 24 32 3
+6 0 0 0 0 10 24 32 2.4
+6 0 0 0 0 12 24 32 1.8
+6 0 0 0 0 14 24 32 1.2
+6 0 0 0 0 16 24 32 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 20 24 32 0.600000000000001
+6 0 0 0 0 22 24 32 1.2
+6 0 0 0 0 24 24 32 1.8
+6 0 0 0 0 26 24 32 2.4
+6 0 0 0 0 28 24 32 3
+6 0 0 0 0 30 24 32 3.6
+6 0 0 0 0 32 24 32 4.2
+6 0 0 0 0 34 24 32 4.8
+6 0 0 0 0 36 24 32 5.4
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 2.7
+7 0 1 0 0 10 24 32 2.4
+7 0 1 0 0 11 24 32 2.1
+7 0 1 0 0 12 24 32 1.8
+7 0 1 0 0 13 24 32 1.5
+7 0 1 0 0 14 24 32 1.2
+7 0 1 0 0 15 24 32 0.9
+7 0 1 0 0 16 24 32 0.6
+7 0 1 0 0 17 24 32 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 19 24 32 0.3
+7 0 1 0 0 20 24 32 0.600000000000001
+7 0 1 0 0 21 24 32 0.900000000000001
+7 0 1 0 0 22 24 32 1.2
+7 0 1 0 0 23 24 32 1.5
+7 0 1 0 0 24 24 32 1.8
+7 0 1 0 0 25 24 32 2.1
+7 0 1 0 0 26 24 32 2.4
+7 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 2.7
+8 0 1 0 0 10 24 32 2.4
+8 0 1 0 0 11 24 32 2.1
+8 0 1 0 0 12 24 32 1.8
+8 0 1 0 0 13 24 32 1.5
+8 0 1 0 0 14 24 32 1.2
+8 0 1 0 0 15 24 32 0.9
+8 0 1 0 0 16 24 32 0.6
+8 0 1 0 0 17 24 32 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 19 24 32 0.3
+8 0 1 0 0 20 24 32 0.600000000000001
+8 0 1 0 0 21 24 32 0.900000000000001
+8 0 1 0 0 22 24 32 1.2
+8 0 1 0 0 23 24 32 1.5
+8 0 1 0 0 24 24 32 1.8
+8 0 1 0 0 25 24 32 2.1
+8 0 1 0 0 26 24 32 2.4
+8 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 5.4
+8 0 0 0 0 2 24 32 4.8
+8 0 0 0 0 4 24 32 4.2
+8 0 0 0 0 6 24 32 3.6
+8 0 0 0 0 8 24 32 3
+8 0 0 0 0 10 24 32 2.4
+8 0 0 0 0 12 24 32 1.8
+8 0 0 0 0 14 24 32 1.2
+8 0 0 0 0 16 24 32 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 20 24 32 0.600000000000001
+8 0 0 0 0 22 24 32 1.2
+8 0 0 0 0 24 24 32 1.8
+8 0 0 0 0 26 24 32 2.4
+8 0 0 0 0 28 24 32 3
+8 0 0 0 0 30 24 32 3.6
+8 0 0 0 0 32 24 32 4.2
+8 0 0 0 0 34 24 32 4.8
+8 0 0 0 0 36 24 32 5.4
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 2.7
+9 0 1 0 0 10 24 32 2.4
+9 0 1 0 0 11 24 32 2.1
+9 0 1 0 0 12 24 32 1.8
+9 0 1 0 0 13 24 32 1.5
+9 0 1 0 0 14 24 32 1.2
+9 0 1 0 0 15 24 32 0.9
+9 0 1 0 0 16 24 32 0.6
+9 0 1 0 0 17 24 32 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 19 24 32 0.3
+9 0 1 0 0 20 24 32 0.600000000000001
+9 0 1 0 0 21 24 32 0.900000000000001
+9 0 1 0 0 22 24 32 1.2
+9 0 1 0 0 23 24 32 1.5
+9 0 1 0 0 24 24 32 1.8
+9 0 1 0 0 25 24 32 2.1
+9 0 1 0 0 26 24 32 2.4
+9 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 2.7
+10 0 1 0 0 10 24 32 2.4
+10 0 1 0 0 11 24 32 2.1
+10 0 1 0 0 12 24 32 1.8
+10 0 1 0 0 13 24 32 1.5
+10 0 1 0 0 14 24 32 1.2
+10 0 1 0 0 15 24 32 0.9
+10 0 1 0 0 16 24 32 0.6
+10 0 1 0 0 17 24 32 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 19 24 32 0.3
+10 0 1 0 0 20 24 32 0.600000000000001
+10 0 1 0 0 21 24 32 0.900000000000001
+10 0 1 0 0 22 24 32 1.2
+10 0 1 0 0 23 24 32 1.5
+10 0 1 0 0 24 24 32 1.8
+10 0 1 0 0 25 24 32 2.1
+10 0 1 0 0 26 24 32 2.4
+10 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 5.4
+10 0 0 0 0 2 24 32 4.8
+10 0 0 0 0 4 24 32 4.2
+10 0 0 0 0 6 24 32 3.6
+10 0 0 0 0 8 24 32 3
+10 0 0 0 0 10 24 32 2.4
+10 0 0 0 0 12 24 32 1.8
+10 0 0 0 0 14 24 32 1.2
+10 0 0 0 0 16 24 32 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 20 24 32 0.600000000000001
+10 0 0 0 0 22 24 32 1.2
+10 0 0 0 0 24 24 32 1.8
+10 0 0 0 0 26 24 32 2.4
+10 0 0 0 0 28 24 32 3
+10 0 0 0 0 30 24 32 3.6
+10 0 0 0 0 32 24 32 4.2
+10 0 0 0 0 34 24 32 4.8
+10 0 0 0 0 36 24 32 5.4
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 2.7
+11 0 1 0 0 10 24 32 2.4
+11 0 1 0 0 11 24 32 2.1
+11 0 1 0 0 12 24 32 1.8
+11 0 1 0 0 13 24 32 1.5
+11 0 1 0 0 14 24 32 1.2
+11 0 1 0 0 15 24 32 0.9
+11 0 1 0 0 16 24 32 0.6
+11 0 1 0 0 17 24 32 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 19 24 32 0.3
+11 0 1 0 0 20 24 32 0.600000000000001
+11 0 1 0 0 21 24 32 0.900000000000001
+11 0 1 0 0 22 24 32 1.2
+11 0 1 0 0 23 24 32 1.5
+11 0 1 0 0 24 24 32 1.8
+11 0 1 0 0 25 24 32 2.1
+11 0 1 0 0 26 24 32 2.4
+11 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 2.7
+12 0 1 0 0 10 24 32 2.4
+12 0 1 0 0 11 24 32 2.1
+12 0 1 0 0 12 24 32 1.8
+12 0 1 0 0 13 24 32 1.5
+12 0 1 0 0 14 24 32 1.2
+12 0 1 0 0 15 24 32 0.9
+12 0 1 0 0 16 24 32 0.6
+12 0 1 0 0 17 24 32 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 19 24 32 0.3
+12 0 1 0 0 20 24 32 0.600000000000001
+12 0 1 0 0 21 24 32 0.900000000000001
+12 0 1 0 0 22 24 32 1.2
+12 0 1 0 0 23 24 32 1.5
+12 0 1 0 0 24 24 32 1.8
+12 0 1 0 0 25 24 32 2.1
+12 0 1 0 0 26 24 32 2.4
+12 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 5.4
+12 0 0 0 0 2 24 32 4.8
+12 0 0 0 0 4 24 32 4.2
+12 0 0 0 0 6 24 32 3.6
+12 0 0 0 0 8 24 32 3
+12 0 0 0 0 10 24 32 2.4
+12 0 0 0 0 12 24 32 1.8
+12 0 0 0 0 14 24 32 1.2
+12 0 0 0 0 16 24 32 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 20 24 32 0.600000000000001
+12 0 0 0 0 22 24 32 1.2
+12 0 0 0 0 24 24 32 1.8
+12 0 0 0 0 26 24 32 2.4
+12 0 0 0 0 28 24 32 3
+12 0 0 0 0 30 24 32 3.6
+12 0 0 0 0 32 24 32 4.2
+12 0 0 0 0 34 24 32 4.8
+12 0 0 0 0 36 24 32 5.4
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.yl
new file mode 100644
index 000000000..68dfcb5aa
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.yl
@@ -0,0 +1,622 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 3.3
+0 0 1 0 0 18 14 32 3
+0 0 1 0 0 18 15 32 2.7
+0 0 1 0 0 18 16 32 2.4
+0 0 1 0 0 18 17 32 2.1
+0 0 1 0 0 18 18 32 1.8
+0 0 1 0 0 18 19 32 1.5
+0 0 1 0 0 18 20 32 1.2
+0 0 1 0 0 18 21 32 0.9
+0 0 1 0 0 18 22 32 0.6
+0 0 1 0 0 18 23 32 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 18 25 32 0.3
+0 0 1 0 0 18 26 32 0.6
+0 0 1 0 0 18 27 32 0.899999999999999
+0 0 1 0 0 18 28 32 1.2
+0 0 1 0 0 18 29 32 1.5
+0 0 1 0 0 18 30 32 1.8
+0 0 1 0 0 18 31 32 2.1
+0 0 1 0 0 18 32 32 2.4
+0 0 1 0 0 18 33 32 2.7
+0 0 1 0 0 18 34 32 3
+0 0 1 0 0 18 35 32 3.3
+0 0 1 0 0 18 36 32 3.6
+0 0 1 0 0 18 37 32 3.9
+0 0 1 0 0 18 38 32 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 7.2
+0 0 0 0 0 18 2 32 6.6
+0 0 0 0 0 18 4 32 6
+0 0 0 0 0 18 6 32 5.4
+0 0 0 0 0 18 8 32 4.8
+0 0 0 0 0 18 10 32 4.2
+0 0 0 0 0 18 12 32 3.6
+0 0 0 0 0 18 14 32 3
+0 0 0 0 0 18 16 32 2.4
+0 0 0 0 0 18 18 32 1.8
+0 0 0 0 0 18 20 32 1.2
+0 0 0 0 0 18 22 32 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 18 26 32 0.6
+0 0 0 0 0 18 28 32 1.2
+0 0 0 0 0 18 30 32 1.8
+0 0 0 0 0 18 32 32 2.4
+0 0 0 0 0 18 34 32 3
+0 0 0 0 0 18 36 32 3.6
+0 0 0 0 0 18 38 32 4.2
+0 0 0 0 0 18 40 32 4.8
+0 0 0 0 0 18 42 32 5.4
+0 0 0 0 0 18 44 32 6
+0 0 0 0 0 18 46 32 6.6
+0 0 0 0 0 18 48 32 7.2
+0 0 0 0 0 18 50 32 7.8
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 3.3
+1 0 1 0 0 18 14 32 3
+1 0 1 0 0 18 15 32 2.7
+1 0 1 0 0 18 16 32 2.4
+1 0 1 0 0 18 17 32 2.1
+1 0 1 0 0 18 18 32 1.8
+1 0 1 0 0 18 19 32 1.5
+1 0 1 0 0 18 20 32 1.2
+1 0 1 0 0 18 21 32 0.9
+1 0 1 0 0 18 22 32 0.6
+1 0 1 0 0 18 23 32 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 18 25 32 0.3
+1 0 1 0 0 18 26 32 0.6
+1 0 1 0 0 18 27 32 0.899999999999999
+1 0 1 0 0 18 28 32 1.2
+1 0 1 0 0 18 29 32 1.5
+1 0 1 0 0 18 30 32 1.8
+1 0 1 0 0 18 31 32 2.1
+1 0 1 0 0 18 32 32 2.4
+1 0 1 0 0 18 33 32 2.7
+1 0 1 0 0 18 34 32 3
+1 0 1 0 0 18 35 32 3.3
+1 0 1 0 0 18 36 32 3.6
+1 0 1 0 0 18 37 32 3.9
+1 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 3.3
+2 0 1 0 0 18 14 32 3
+2 0 1 0 0 18 15 32 2.7
+2 0 1 0 0 18 16 32 2.4
+2 0 1 0 0 18 17 32 2.1
+2 0 1 0 0 18 18 32 1.8
+2 0 1 0 0 18 19 32 1.5
+2 0 1 0 0 18 20 32 1.2
+2 0 1 0 0 18 21 32 0.9
+2 0 1 0 0 18 22 32 0.6
+2 0 1 0 0 18 23 32 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 18 25 32 0.3
+2 0 1 0 0 18 26 32 0.6
+2 0 1 0 0 18 27 32 0.899999999999999
+2 0 1 0 0 18 28 32 1.2
+2 0 1 0 0 18 29 32 1.5
+2 0 1 0 0 18 30 32 1.8
+2 0 1 0 0 18 31 32 2.1
+2 0 1 0 0 18 32 32 2.4
+2 0 1 0 0 18 33 32 2.7
+2 0 1 0 0 18 34 32 3
+2 0 1 0 0 18 35 32 3.3
+2 0 1 0 0 18 36 32 3.6
+2 0 1 0 0 18 37 32 3.9
+2 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 7.2
+2 0 0 0 0 18 2 32 6.6
+2 0 0 0 0 18 4 32 6
+2 0 0 0 0 18 6 32 5.4
+2 0 0 0 0 18 8 32 4.8
+2 0 0 0 0 18 10 32 4.2
+2 0 0 0 0 18 12 32 3.6
+2 0 0 0 0 18 14 32 3
+2 0 0 0 0 18 16 32 2.4
+2 0 0 0 0 18 18 32 1.8
+2 0 0 0 0 18 20 32 1.2
+2 0 0 0 0 18 22 32 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 18 26 32 0.6
+2 0 0 0 0 18 28 32 1.2
+2 0 0 0 0 18 30 32 1.8
+2 0 0 0 0 18 32 32 2.4
+2 0 0 0 0 18 34 32 3
+2 0 0 0 0 18 36 32 3.6
+2 0 0 0 0 18 38 32 4.2
+2 0 0 0 0 18 40 32 4.8
+2 0 0 0 0 18 42 32 5.4
+2 0 0 0 0 18 44 32 6
+2 0 0 0 0 18 46 32 6.6
+2 0 0 0 0 18 48 32 7.2
+2 0 0 0 0 18 50 32 7.8
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 3.3
+3 0 1 0 0 18 14 32 3
+3 0 1 0 0 18 15 32 2.7
+3 0 1 0 0 18 16 32 2.4
+3 0 1 0 0 18 17 32 2.1
+3 0 1 0 0 18 18 32 1.8
+3 0 1 0 0 18 19 32 1.5
+3 0 1 0 0 18 20 32 1.2
+3 0 1 0 0 18 21 32 0.9
+3 0 1 0 0 18 22 32 0.6
+3 0 1 0 0 18 23 32 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 18 25 32 0.3
+3 0 1 0 0 18 26 32 0.6
+3 0 1 0 0 18 27 32 0.899999999999999
+3 0 1 0 0 18 28 32 1.2
+3 0 1 0 0 18 29 32 1.5
+3 0 1 0 0 18 30 32 1.8
+3 0 1 0 0 18 31 32 2.1
+3 0 1 0 0 18 32 32 2.4
+3 0 1 0 0 18 33 32 2.7
+3 0 1 0 0 18 34 32 3
+3 0 1 0 0 18 35 32 3.3
+3 0 1 0 0 18 36 32 3.6
+3 0 1 0 0 18 37 32 3.9
+3 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 3.3
+4 0 1 0 0 18 14 32 3
+4 0 1 0 0 18 15 32 2.7
+4 0 1 0 0 18 16 32 2.4
+4 0 1 0 0 18 17 32 2.1
+4 0 1 0 0 18 18 32 1.8
+4 0 1 0 0 18 19 32 1.5
+4 0 1 0 0 18 20 32 1.2
+4 0 1 0 0 18 21 32 0.9
+4 0 1 0 0 18 22 32 0.6
+4 0 1 0 0 18 23 32 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 18 25 32 0.3
+4 0 1 0 0 18 26 32 0.6
+4 0 1 0 0 18 27 32 0.899999999999999
+4 0 1 0 0 18 28 32 1.2
+4 0 1 0 0 18 29 32 1.5
+4 0 1 0 0 18 30 32 1.8
+4 0 1 0 0 18 31 32 2.1
+4 0 1 0 0 18 32 32 2.4
+4 0 1 0 0 18 33 32 2.7
+4 0 1 0 0 18 34 32 3
+4 0 1 0 0 18 35 32 3.3
+4 0 1 0 0 18 36 32 3.6
+4 0 1 0 0 18 37 32 3.9
+4 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 7.2
+4 0 0 0 0 18 2 32 6.6
+4 0 0 0 0 18 4 32 6
+4 0 0 0 0 18 6 32 5.4
+4 0 0 0 0 18 8 32 4.8
+4 0 0 0 0 18 10 32 4.2
+4 0 0 0 0 18 12 32 3.6
+4 0 0 0 0 18 14 32 3
+4 0 0 0 0 18 16 32 2.4
+4 0 0 0 0 18 18 32 1.8
+4 0 0 0 0 18 20 32 1.2
+4 0 0 0 0 18 22 32 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 18 26 32 0.6
+4 0 0 0 0 18 28 32 1.2
+4 0 0 0 0 18 30 32 1.8
+4 0 0 0 0 18 32 32 2.4
+4 0 0 0 0 18 34 32 3
+4 0 0 0 0 18 36 32 3.6
+4 0 0 0 0 18 38 32 4.2
+4 0 0 0 0 18 40 32 4.8
+4 0 0 0 0 18 42 32 5.4
+4 0 0 0 0 18 44 32 6
+4 0 0 0 0 18 46 32 6.6
+4 0 0 0 0 18 48 32 7.2
+4 0 0 0 0 18 50 32 7.8
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 3.3
+5 0 1 0 0 18 14 32 3
+5 0 1 0 0 18 15 32 2.7
+5 0 1 0 0 18 16 32 2.4
+5 0 1 0 0 18 17 32 2.1
+5 0 1 0 0 18 18 32 1.8
+5 0 1 0 0 18 19 32 1.5
+5 0 1 0 0 18 20 32 1.2
+5 0 1 0 0 18 21 32 0.9
+5 0 1 0 0 18 22 32 0.6
+5 0 1 0 0 18 23 32 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 18 25 32 0.3
+5 0 1 0 0 18 26 32 0.6
+5 0 1 0 0 18 27 32 0.899999999999999
+5 0 1 0 0 18 28 32 1.2
+5 0 1 0 0 18 29 32 1.5
+5 0 1 0 0 18 30 32 1.8
+5 0 1 0 0 18 31 32 2.1
+5 0 1 0 0 18 32 32 2.4
+5 0 1 0 0 18 33 32 2.7
+5 0 1 0 0 18 34 32 3
+5 0 1 0 0 18 35 32 3.3
+5 0 1 0 0 18 36 32 3.6
+5 0 1 0 0 18 37 32 3.9
+5 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 3.3
+6 0 1 0 0 18 14 32 3
+6 0 1 0 0 18 15 32 2.7
+6 0 1 0 0 18 16 32 2.4
+6 0 1 0 0 18 17 32 2.1
+6 0 1 0 0 18 18 32 1.8
+6 0 1 0 0 18 19 32 1.5
+6 0 1 0 0 18 20 32 1.2
+6 0 1 0 0 18 21 32 0.9
+6 0 1 0 0 18 22 32 0.6
+6 0 1 0 0 18 23 32 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 18 25 32 0.3
+6 0 1 0 0 18 26 32 0.6
+6 0 1 0 0 18 27 32 0.899999999999999
+6 0 1 0 0 18 28 32 1.2
+6 0 1 0 0 18 29 32 1.5
+6 0 1 0 0 18 30 32 1.8
+6 0 1 0 0 18 31 32 2.1
+6 0 1 0 0 18 32 32 2.4
+6 0 1 0 0 18 33 32 2.7
+6 0 1 0 0 18 34 32 3
+6 0 1 0 0 18 35 32 3.3
+6 0 1 0 0 18 36 32 3.6
+6 0 1 0 0 18 37 32 3.9
+6 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 7.2
+6 0 0 0 0 18 2 32 6.6
+6 0 0 0 0 18 4 32 6
+6 0 0 0 0 18 6 32 5.4
+6 0 0 0 0 18 8 32 4.8
+6 0 0 0 0 18 10 32 4.2
+6 0 0 0 0 18 12 32 3.6
+6 0 0 0 0 18 14 32 3
+6 0 0 0 0 18 16 32 2.4
+6 0 0 0 0 18 18 32 1.8
+6 0 0 0 0 18 20 32 1.2
+6 0 0 0 0 18 22 32 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 18 26 32 0.6
+6 0 0 0 0 18 28 32 1.2
+6 0 0 0 0 18 30 32 1.8
+6 0 0 0 0 18 32 32 2.4
+6 0 0 0 0 18 34 32 3
+6 0 0 0 0 18 36 32 3.6
+6 0 0 0 0 18 38 32 4.2
+6 0 0 0 0 18 40 32 4.8
+6 0 0 0 0 18 42 32 5.4
+6 0 0 0 0 18 44 32 6
+6 0 0 0 0 18 46 32 6.6
+6 0 0 0 0 18 48 32 7.2
+6 0 0 0 0 18 50 32 7.8
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 3.3
+7 0 1 0 0 18 14 32 3
+7 0 1 0 0 18 15 32 2.7
+7 0 1 0 0 18 16 32 2.4
+7 0 1 0 0 18 17 32 2.1
+7 0 1 0 0 18 18 32 1.8
+7 0 1 0 0 18 19 32 1.5
+7 0 1 0 0 18 20 32 1.2
+7 0 1 0 0 18 21 32 0.9
+7 0 1 0 0 18 22 32 0.6
+7 0 1 0 0 18 23 32 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 18 25 32 0.3
+7 0 1 0 0 18 26 32 0.6
+7 0 1 0 0 18 27 32 0.899999999999999
+7 0 1 0 0 18 28 32 1.2
+7 0 1 0 0 18 29 32 1.5
+7 0 1 0 0 18 30 32 1.8
+7 0 1 0 0 18 31 32 2.1
+7 0 1 0 0 18 32 32 2.4
+7 0 1 0 0 18 33 32 2.7
+7 0 1 0 0 18 34 32 3
+7 0 1 0 0 18 35 32 3.3
+7 0 1 0 0 18 36 32 3.6
+7 0 1 0 0 18 37 32 3.9
+7 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 3.3
+8 0 1 0 0 18 14 32 3
+8 0 1 0 0 18 15 32 2.7
+8 0 1 0 0 18 16 32 2.4
+8 0 1 0 0 18 17 32 2.1
+8 0 1 0 0 18 18 32 1.8
+8 0 1 0 0 18 19 32 1.5
+8 0 1 0 0 18 20 32 1.2
+8 0 1 0 0 18 21 32 0.9
+8 0 1 0 0 18 22 32 0.6
+8 0 1 0 0 18 23 32 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 18 25 32 0.3
+8 0 1 0 0 18 26 32 0.6
+8 0 1 0 0 18 27 32 0.899999999999999
+8 0 1 0 0 18 28 32 1.2
+8 0 1 0 0 18 29 32 1.5
+8 0 1 0 0 18 30 32 1.8
+8 0 1 0 0 18 31 32 2.1
+8 0 1 0 0 18 32 32 2.4
+8 0 1 0 0 18 33 32 2.7
+8 0 1 0 0 18 34 32 3
+8 0 1 0 0 18 35 32 3.3
+8 0 1 0 0 18 36 32 3.6
+8 0 1 0 0 18 37 32 3.9
+8 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 7.2
+8 0 0 0 0 18 2 32 6.6
+8 0 0 0 0 18 4 32 6
+8 0 0 0 0 18 6 32 5.4
+8 0 0 0 0 18 8 32 4.8
+8 0 0 0 0 18 10 32 4.2
+8 0 0 0 0 18 12 32 3.6
+8 0 0 0 0 18 14 32 3
+8 0 0 0 0 18 16 32 2.4
+8 0 0 0 0 18 18 32 1.8
+8 0 0 0 0 18 20 32 1.2
+8 0 0 0 0 18 22 32 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 18 26 32 0.6
+8 0 0 0 0 18 28 32 1.2
+8 0 0 0 0 18 30 32 1.8
+8 0 0 0 0 18 32 32 2.4
+8 0 0 0 0 18 34 32 3
+8 0 0 0 0 18 36 32 3.6
+8 0 0 0 0 18 38 32 4.2
+8 0 0 0 0 18 40 32 4.8
+8 0 0 0 0 18 42 32 5.4
+8 0 0 0 0 18 44 32 6
+8 0 0 0 0 18 46 32 6.6
+8 0 0 0 0 18 48 32 7.2
+8 0 0 0 0 18 50 32 7.8
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 3.3
+9 0 1 0 0 18 14 32 3
+9 0 1 0 0 18 15 32 2.7
+9 0 1 0 0 18 16 32 2.4
+9 0 1 0 0 18 17 32 2.1
+9 0 1 0 0 18 18 32 1.8
+9 0 1 0 0 18 19 32 1.5
+9 0 1 0 0 18 20 32 1.2
+9 0 1 0 0 18 21 32 0.9
+9 0 1 0 0 18 22 32 0.6
+9 0 1 0 0 18 23 32 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 18 25 32 0.3
+9 0 1 0 0 18 26 32 0.6
+9 0 1 0 0 18 27 32 0.899999999999999
+9 0 1 0 0 18 28 32 1.2
+9 0 1 0 0 18 29 32 1.5
+9 0 1 0 0 18 30 32 1.8
+9 0 1 0 0 18 31 32 2.1
+9 0 1 0 0 18 32 32 2.4
+9 0 1 0 0 18 33 32 2.7
+9 0 1 0 0 18 34 32 3
+9 0 1 0 0 18 35 32 3.3
+9 0 1 0 0 18 36 32 3.6
+9 0 1 0 0 18 37 32 3.9
+9 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 3.3
+10 0 1 0 0 18 14 32 3
+10 0 1 0 0 18 15 32 2.7
+10 0 1 0 0 18 16 32 2.4
+10 0 1 0 0 18 17 32 2.1
+10 0 1 0 0 18 18 32 1.8
+10 0 1 0 0 18 19 32 1.5
+10 0 1 0 0 18 20 32 1.2
+10 0 1 0 0 18 21 32 0.9
+10 0 1 0 0 18 22 32 0.6
+10 0 1 0 0 18 23 32 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 18 25 32 0.3
+10 0 1 0 0 18 26 32 0.6
+10 0 1 0 0 18 27 32 0.899999999999999
+10 0 1 0 0 18 28 32 1.2
+10 0 1 0 0 18 29 32 1.5
+10 0 1 0 0 18 30 32 1.8
+10 0 1 0 0 18 31 32 2.1
+10 0 1 0 0 18 32 32 2.4
+10 0 1 0 0 18 33 32 2.7
+10 0 1 0 0 18 34 32 3
+10 0 1 0 0 18 35 32 3.3
+10 0 1 0 0 18 36 32 3.6
+10 0 1 0 0 18 37 32 3.9
+10 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 7.2
+10 0 0 0 0 18 2 32 6.6
+10 0 0 0 0 18 4 32 6
+10 0 0 0 0 18 6 32 5.4
+10 0 0 0 0 18 8 32 4.8
+10 0 0 0 0 18 10 32 4.2
+10 0 0 0 0 18 12 32 3.6
+10 0 0 0 0 18 14 32 3
+10 0 0 0 0 18 16 32 2.4
+10 0 0 0 0 18 18 32 1.8
+10 0 0 0 0 18 20 32 1.2
+10 0 0 0 0 18 22 32 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 18 26 32 0.6
+10 0 0 0 0 18 28 32 1.2
+10 0 0 0 0 18 30 32 1.8
+10 0 0 0 0 18 32 32 2.4
+10 0 0 0 0 18 34 32 3
+10 0 0 0 0 18 36 32 3.6
+10 0 0 0 0 18 38 32 4.2
+10 0 0 0 0 18 40 32 4.8
+10 0 0 0 0 18 42 32 5.4
+10 0 0 0 0 18 44 32 6
+10 0 0 0 0 18 46 32 6.6
+10 0 0 0 0 18 48 32 7.2
+10 0 0 0 0 18 50 32 7.8
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 3.3
+11 0 1 0 0 18 14 32 3
+11 0 1 0 0 18 15 32 2.7
+11 0 1 0 0 18 16 32 2.4
+11 0 1 0 0 18 17 32 2.1
+11 0 1 0 0 18 18 32 1.8
+11 0 1 0 0 18 19 32 1.5
+11 0 1 0 0 18 20 32 1.2
+11 0 1 0 0 18 21 32 0.9
+11 0 1 0 0 18 22 32 0.6
+11 0 1 0 0 18 23 32 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 18 25 32 0.3
+11 0 1 0 0 18 26 32 0.6
+11 0 1 0 0 18 27 32 0.899999999999999
+11 0 1 0 0 18 28 32 1.2
+11 0 1 0 0 18 29 32 1.5
+11 0 1 0 0 18 30 32 1.8
+11 0 1 0 0 18 31 32 2.1
+11 0 1 0 0 18 32 32 2.4
+11 0 1 0 0 18 33 32 2.7
+11 0 1 0 0 18 34 32 3
+11 0 1 0 0 18 35 32 3.3
+11 0 1 0 0 18 36 32 3.6
+11 0 1 0 0 18 37 32 3.9
+11 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 3.3
+12 0 1 0 0 18 14 32 3
+12 0 1 0 0 18 15 32 2.7
+12 0 1 0 0 18 16 32 2.4
+12 0 1 0 0 18 17 32 2.1
+12 0 1 0 0 18 18 32 1.8
+12 0 1 0 0 18 19 32 1.5
+12 0 1 0 0 18 20 32 1.2
+12 0 1 0 0 18 21 32 0.9
+12 0 1 0 0 18 22 32 0.6
+12 0 1 0 0 18 23 32 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 18 25 32 0.3
+12 0 1 0 0 18 26 32 0.6
+12 0 1 0 0 18 27 32 0.899999999999999
+12 0 1 0 0 18 28 32 1.2
+12 0 1 0 0 18 29 32 1.5
+12 0 1 0 0 18 30 32 1.8
+12 0 1 0 0 18 31 32 2.1
+12 0 1 0 0 18 32 32 2.4
+12 0 1 0 0 18 33 32 2.7
+12 0 1 0 0 18 34 32 3
+12 0 1 0 0 18 35 32 3.3
+12 0 1 0 0 18 36 32 3.6
+12 0 1 0 0 18 37 32 3.9
+12 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 7.2
+12 0 0 0 0 18 2 32 6.6
+12 0 0 0 0 18 4 32 6
+12 0 0 0 0 18 6 32 5.4
+12 0 0 0 0 18 8 32 4.8
+12 0 0 0 0 18 10 32 4.2
+12 0 0 0 0 18 12 32 3.6
+12 0 0 0 0 18 14 32 3
+12 0 0 0 0 18 16 32 2.4
+12 0 0 0 0 18 18 32 1.8
+12 0 0 0 0 18 20 32 1.2
+12 0 0 0 0 18 22 32 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 18 26 32 0.6
+12 0 0 0 0 18 28 32 1.2
+12 0 0 0 0 18 30 32 1.8
+12 0 0 0 0 18 32 32 2.4
+12 0 0 0 0 18 34 32 3
+12 0 0 0 0 18 36 32 3.6
+12 0 0 0 0 18 38 32 4.2
+12 0 0 0 0 18 40 32 4.8
+12 0 0 0 0 18 42 32 5.4
+12 0 0 0 0 18 44 32 6
+12 0 0 0 0 18 46 32 6.6
+12 0 0 0 0 18 48 32 7.2
+12 0 0 0 0 18 50 32 7.8
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.zl
new file mode 100644
index 000000000..28167d1c4
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.zl
@@ -0,0 +1,782 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 4.5
+0 0 1 0 0 18 24 18 4.2
+0 0 1 0 0 18 24 19 3.9
+0 0 1 0 0 18 24 20 3.6
+0 0 1 0 0 18 24 21 3.3
+0 0 1 0 0 18 24 22 3
+0 0 1 0 0 18 24 23 2.7
+0 0 1 0 0 18 24 24 2.4
+0 0 1 0 0 18 24 25 2.1
+0 0 1 0 0 18 24 26 1.8
+0 0 1 0 0 18 24 27 1.5
+0 0 1 0 0 18 24 28 1.2
+0 0 1 0 0 18 24 29 0.9
+0 0 1 0 0 18 24 30 0.6
+0 0 1 0 0 18 24 31 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 18 24 33 0.3
+0 0 1 0 0 18 24 34 0.6
+0 0 1 0 0 18 24 35 0.9
+0 0 1 0 0 18 24 36 1.2
+0 0 1 0 0 18 24 37 1.5
+0 0 1 0 0 18 24 38 1.8
+0 0 1 0 0 18 24 39 2.1
+0 0 1 0 0 18 24 40 2.4
+0 0 1 0 0 18 24 41 2.7
+0 0 1 0 0 18 24 42 3
+0 0 1 0 0 18 24 43 3.3
+0 0 1 0 0 18 24 44 3.6
+0 0 1 0 0 18 24 45 3.9
+0 0 1 0 0 18 24 46 4.2
+0 0 1 0 0 18 24 47 4.5
+0 0 1 0 0 18 24 48 4.8
+0 0 1 0 0 18 24 49 5.1
+0 0 1 0 0 18 24 50 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 9.6
+0 0 0 0 0 18 24 2 9
+0 0 0 0 0 18 24 4 8.4
+0 0 0 0 0 18 24 6 7.8
+0 0 0 0 0 18 24 8 7.2
+0 0 0 0 0 18 24 10 6.6
+0 0 0 0 0 18 24 12 6
+0 0 0 0 0 18 24 14 5.4
+0 0 0 0 0 18 24 16 4.8
+0 0 0 0 0 18 24 18 4.2
+0 0 0 0 0 18 24 20 3.6
+0 0 0 0 0 18 24 22 3
+0 0 0 0 0 18 24 24 2.4
+0 0 0 0 0 18 24 26 1.8
+0 0 0 0 0 18 24 28 1.2
+0 0 0 0 0 18 24 30 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 18 24 34 0.6
+0 0 0 0 0 18 24 36 1.2
+0 0 0 0 0 18 24 38 1.8
+0 0 0 0 0 18 24 40 2.4
+0 0 0 0 0 18 24 42 3
+0 0 0 0 0 18 24 44 3.6
+0 0 0 0 0 18 24 46 4.2
+0 0 0 0 0 18 24 48 4.8
+0 0 0 0 0 18 24 50 5.4
+0 0 0 0 0 18 24 52 6
+0 0 0 0 0 18 24 54 6.6
+0 0 0 0 0 18 24 56 7.2
+0 0 0 0 0 18 24 58 7.8
+0 0 0 0 0 18 24 60 8.4
+0 0 0 0 0 18 24 62 9
+0 0 0 0 0 18 24 64 9.6
+0 0 0 0 0 18 24 66 10.2
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 4.5
+1 0 1 0 0 18 24 18 4.2
+1 0 1 0 0 18 24 19 3.9
+1 0 1 0 0 18 24 20 3.6
+1 0 1 0 0 18 24 21 3.3
+1 0 1 0 0 18 24 22 3
+1 0 1 0 0 18 24 23 2.7
+1 0 1 0 0 18 24 24 2.4
+1 0 1 0 0 18 24 25 2.1
+1 0 1 0 0 18 24 26 1.8
+1 0 1 0 0 18 24 27 1.5
+1 0 1 0 0 18 24 28 1.2
+1 0 1 0 0 18 24 29 0.9
+1 0 1 0 0 18 24 30 0.6
+1 0 1 0 0 18 24 31 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 18 24 33 0.3
+1 0 1 0 0 18 24 34 0.6
+1 0 1 0 0 18 24 35 0.9
+1 0 1 0 0 18 24 36 1.2
+1 0 1 0 0 18 24 37 1.5
+1 0 1 0 0 18 24 38 1.8
+1 0 1 0 0 18 24 39 2.1
+1 0 1 0 0 18 24 40 2.4
+1 0 1 0 0 18 24 41 2.7
+1 0 1 0 0 18 24 42 3
+1 0 1 0 0 18 24 43 3.3
+1 0 1 0 0 18 24 44 3.6
+1 0 1 0 0 18 24 45 3.9
+1 0 1 0 0 18 24 46 4.2
+1 0 1 0 0 18 24 47 4.5
+1 0 1 0 0 18 24 48 4.8
+1 0 1 0 0 18 24 49 5.1
+1 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 4.5
+2 0 1 0 0 18 24 18 4.2
+2 0 1 0 0 18 24 19 3.9
+2 0 1 0 0 18 24 20 3.6
+2 0 1 0 0 18 24 21 3.3
+2 0 1 0 0 18 24 22 3
+2 0 1 0 0 18 24 23 2.7
+2 0 1 0 0 18 24 24 2.4
+2 0 1 0 0 18 24 25 2.1
+2 0 1 0 0 18 24 26 1.8
+2 0 1 0 0 18 24 27 1.5
+2 0 1 0 0 18 24 28 1.2
+2 0 1 0 0 18 24 29 0.9
+2 0 1 0 0 18 24 30 0.6
+2 0 1 0 0 18 24 31 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 18 24 33 0.3
+2 0 1 0 0 18 24 34 0.6
+2 0 1 0 0 18 24 35 0.9
+2 0 1 0 0 18 24 36 1.2
+2 0 1 0 0 18 24 37 1.5
+2 0 1 0 0 18 24 38 1.8
+2 0 1 0 0 18 24 39 2.1
+2 0 1 0 0 18 24 40 2.4
+2 0 1 0 0 18 24 41 2.7
+2 0 1 0 0 18 24 42 3
+2 0 1 0 0 18 24 43 3.3
+2 0 1 0 0 18 24 44 3.6
+2 0 1 0 0 18 24 45 3.9
+2 0 1 0 0 18 24 46 4.2
+2 0 1 0 0 18 24 47 4.5
+2 0 1 0 0 18 24 48 4.8
+2 0 1 0 0 18 24 49 5.1
+2 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 9.6
+2 0 0 0 0 18 24 2 9
+2 0 0 0 0 18 24 4 8.4
+2 0 0 0 0 18 24 6 7.8
+2 0 0 0 0 18 24 8 7.2
+2 0 0 0 0 18 24 10 6.6
+2 0 0 0 0 18 24 12 6
+2 0 0 0 0 18 24 14 5.4
+2 0 0 0 0 18 24 16 4.8
+2 0 0 0 0 18 24 18 4.2
+2 0 0 0 0 18 24 20 3.6
+2 0 0 0 0 18 24 22 3
+2 0 0 0 0 18 24 24 2.4
+2 0 0 0 0 18 24 26 1.8
+2 0 0 0 0 18 24 28 1.2
+2 0 0 0 0 18 24 30 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 18 24 34 0.6
+2 0 0 0 0 18 24 36 1.2
+2 0 0 0 0 18 24 38 1.8
+2 0 0 0 0 18 24 40 2.4
+2 0 0 0 0 18 24 42 3
+2 0 0 0 0 18 24 44 3.6
+2 0 0 0 0 18 24 46 4.2
+2 0 0 0 0 18 24 48 4.8
+2 0 0 0 0 18 24 50 5.4
+2 0 0 0 0 18 24 52 6
+2 0 0 0 0 18 24 54 6.6
+2 0 0 0 0 18 24 56 7.2
+2 0 0 0 0 18 24 58 7.8
+2 0 0 0 0 18 24 60 8.4
+2 0 0 0 0 18 24 62 9
+2 0 0 0 0 18 24 64 9.6
+2 0 0 0 0 18 24 66 10.2
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 4.5
+3 0 1 0 0 18 24 18 4.2
+3 0 1 0 0 18 24 19 3.9
+3 0 1 0 0 18 24 20 3.6
+3 0 1 0 0 18 24 21 3.3
+3 0 1 0 0 18 24 22 3
+3 0 1 0 0 18 24 23 2.7
+3 0 1 0 0 18 24 24 2.4
+3 0 1 0 0 18 24 25 2.1
+3 0 1 0 0 18 24 26 1.8
+3 0 1 0 0 18 24 27 1.5
+3 0 1 0 0 18 24 28 1.2
+3 0 1 0 0 18 24 29 0.9
+3 0 1 0 0 18 24 30 0.6
+3 0 1 0 0 18 24 31 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 18 24 33 0.3
+3 0 1 0 0 18 24 34 0.6
+3 0 1 0 0 18 24 35 0.9
+3 0 1 0 0 18 24 36 1.2
+3 0 1 0 0 18 24 37 1.5
+3 0 1 0 0 18 24 38 1.8
+3 0 1 0 0 18 24 39 2.1
+3 0 1 0 0 18 24 40 2.4
+3 0 1 0 0 18 24 41 2.7
+3 0 1 0 0 18 24 42 3
+3 0 1 0 0 18 24 43 3.3
+3 0 1 0 0 18 24 44 3.6
+3 0 1 0 0 18 24 45 3.9
+3 0 1 0 0 18 24 46 4.2
+3 0 1 0 0 18 24 47 4.5
+3 0 1 0 0 18 24 48 4.8
+3 0 1 0 0 18 24 49 5.1
+3 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 4.5
+4 0 1 0 0 18 24 18 4.2
+4 0 1 0 0 18 24 19 3.9
+4 0 1 0 0 18 24 20 3.6
+4 0 1 0 0 18 24 21 3.3
+4 0 1 0 0 18 24 22 3
+4 0 1 0 0 18 24 23 2.7
+4 0 1 0 0 18 24 24 2.4
+4 0 1 0 0 18 24 25 2.1
+4 0 1 0 0 18 24 26 1.8
+4 0 1 0 0 18 24 27 1.5
+4 0 1 0 0 18 24 28 1.2
+4 0 1 0 0 18 24 29 0.9
+4 0 1 0 0 18 24 30 0.6
+4 0 1 0 0 18 24 31 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 18 24 33 0.3
+4 0 1 0 0 18 24 34 0.6
+4 0 1 0 0 18 24 35 0.9
+4 0 1 0 0 18 24 36 1.2
+4 0 1 0 0 18 24 37 1.5
+4 0 1 0 0 18 24 38 1.8
+4 0 1 0 0 18 24 39 2.1
+4 0 1 0 0 18 24 40 2.4
+4 0 1 0 0 18 24 41 2.7
+4 0 1 0 0 18 24 42 3
+4 0 1 0 0 18 24 43 3.3
+4 0 1 0 0 18 24 44 3.6
+4 0 1 0 0 18 24 45 3.9
+4 0 1 0 0 18 24 46 4.2
+4 0 1 0 0 18 24 47 4.5
+4 0 1 0 0 18 24 48 4.8
+4 0 1 0 0 18 24 49 5.1
+4 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 9.6
+4 0 0 0 0 18 24 2 9
+4 0 0 0 0 18 24 4 8.4
+4 0 0 0 0 18 24 6 7.8
+4 0 0 0 0 18 24 8 7.2
+4 0 0 0 0 18 24 10 6.6
+4 0 0 0 0 18 24 12 6
+4 0 0 0 0 18 24 14 5.4
+4 0 0 0 0 18 24 16 4.8
+4 0 0 0 0 18 24 18 4.2
+4 0 0 0 0 18 24 20 3.6
+4 0 0 0 0 18 24 22 3
+4 0 0 0 0 18 24 24 2.4
+4 0 0 0 0 18 24 26 1.8
+4 0 0 0 0 18 24 28 1.2
+4 0 0 0 0 18 24 30 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 18 24 34 0.6
+4 0 0 0 0 18 24 36 1.2
+4 0 0 0 0 18 24 38 1.8
+4 0 0 0 0 18 24 40 2.4
+4 0 0 0 0 18 24 42 3
+4 0 0 0 0 18 24 44 3.6
+4 0 0 0 0 18 24 46 4.2
+4 0 0 0 0 18 24 48 4.8
+4 0 0 0 0 18 24 50 5.4
+4 0 0 0 0 18 24 52 6
+4 0 0 0 0 18 24 54 6.6
+4 0 0 0 0 18 24 56 7.2
+4 0 0 0 0 18 24 58 7.8
+4 0 0 0 0 18 24 60 8.4
+4 0 0 0 0 18 24 62 9
+4 0 0 0 0 18 24 64 9.6
+4 0 0 0 0 18 24 66 10.2
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 4.5
+5 0 1 0 0 18 24 18 4.2
+5 0 1 0 0 18 24 19 3.9
+5 0 1 0 0 18 24 20 3.6
+5 0 1 0 0 18 24 21 3.3
+5 0 1 0 0 18 24 22 3
+5 0 1 0 0 18 24 23 2.7
+5 0 1 0 0 18 24 24 2.4
+5 0 1 0 0 18 24 25 2.1
+5 0 1 0 0 18 24 26 1.8
+5 0 1 0 0 18 24 27 1.5
+5 0 1 0 0 18 24 28 1.2
+5 0 1 0 0 18 24 29 0.9
+5 0 1 0 0 18 24 30 0.6
+5 0 1 0 0 18 24 31 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 18 24 33 0.3
+5 0 1 0 0 18 24 34 0.6
+5 0 1 0 0 18 24 35 0.9
+5 0 1 0 0 18 24 36 1.2
+5 0 1 0 0 18 24 37 1.5
+5 0 1 0 0 18 24 38 1.8
+5 0 1 0 0 18 24 39 2.1
+5 0 1 0 0 18 24 40 2.4
+5 0 1 0 0 18 24 41 2.7
+5 0 1 0 0 18 24 42 3
+5 0 1 0 0 18 24 43 3.3
+5 0 1 0 0 18 24 44 3.6
+5 0 1 0 0 18 24 45 3.9
+5 0 1 0 0 18 24 46 4.2
+5 0 1 0 0 18 24 47 4.5
+5 0 1 0 0 18 24 48 4.8
+5 0 1 0 0 18 24 49 5.1
+5 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 4.5
+6 0 1 0 0 18 24 18 4.2
+6 0 1 0 0 18 24 19 3.9
+6 0 1 0 0 18 24 20 3.6
+6 0 1 0 0 18 24 21 3.3
+6 0 1 0 0 18 24 22 3
+6 0 1 0 0 18 24 23 2.7
+6 0 1 0 0 18 24 24 2.4
+6 0 1 0 0 18 24 25 2.1
+6 0 1 0 0 18 24 26 1.8
+6 0 1 0 0 18 24 27 1.5
+6 0 1 0 0 18 24 28 1.2
+6 0 1 0 0 18 24 29 0.9
+6 0 1 0 0 18 24 30 0.6
+6 0 1 0 0 18 24 31 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 18 24 33 0.3
+6 0 1 0 0 18 24 34 0.6
+6 0 1 0 0 18 24 35 0.9
+6 0 1 0 0 18 24 36 1.2
+6 0 1 0 0 18 24 37 1.5
+6 0 1 0 0 18 24 38 1.8
+6 0 1 0 0 18 24 39 2.1
+6 0 1 0 0 18 24 40 2.4
+6 0 1 0 0 18 24 41 2.7
+6 0 1 0 0 18 24 42 3
+6 0 1 0 0 18 24 43 3.3
+6 0 1 0 0 18 24 44 3.6
+6 0 1 0 0 18 24 45 3.9
+6 0 1 0 0 18 24 46 4.2
+6 0 1 0 0 18 24 47 4.5
+6 0 1 0 0 18 24 48 4.8
+6 0 1 0 0 18 24 49 5.1
+6 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 9.6
+6 0 0 0 0 18 24 2 9
+6 0 0 0 0 18 24 4 8.4
+6 0 0 0 0 18 24 6 7.8
+6 0 0 0 0 18 24 8 7.2
+6 0 0 0 0 18 24 10 6.6
+6 0 0 0 0 18 24 12 6
+6 0 0 0 0 18 24 14 5.4
+6 0 0 0 0 18 24 16 4.8
+6 0 0 0 0 18 24 18 4.2
+6 0 0 0 0 18 24 20 3.6
+6 0 0 0 0 18 24 22 3
+6 0 0 0 0 18 24 24 2.4
+6 0 0 0 0 18 24 26 1.8
+6 0 0 0 0 18 24 28 1.2
+6 0 0 0 0 18 24 30 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 18 24 34 0.6
+6 0 0 0 0 18 24 36 1.2
+6 0 0 0 0 18 24 38 1.8
+6 0 0 0 0 18 24 40 2.4
+6 0 0 0 0 18 24 42 3
+6 0 0 0 0 18 24 44 3.6
+6 0 0 0 0 18 24 46 4.2
+6 0 0 0 0 18 24 48 4.8
+6 0 0 0 0 18 24 50 5.4
+6 0 0 0 0 18 24 52 6
+6 0 0 0 0 18 24 54 6.6
+6 0 0 0 0 18 24 56 7.2
+6 0 0 0 0 18 24 58 7.8
+6 0 0 0 0 18 24 60 8.4
+6 0 0 0 0 18 24 62 9
+6 0 0 0 0 18 24 64 9.6
+6 0 0 0 0 18 24 66 10.2
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 4.5
+7 0 1 0 0 18 24 18 4.2
+7 0 1 0 0 18 24 19 3.9
+7 0 1 0 0 18 24 20 3.6
+7 0 1 0 0 18 24 21 3.3
+7 0 1 0 0 18 24 22 3
+7 0 1 0 0 18 24 23 2.7
+7 0 1 0 0 18 24 24 2.4
+7 0 1 0 0 18 24 25 2.1
+7 0 1 0 0 18 24 26 1.8
+7 0 1 0 0 18 24 27 1.5
+7 0 1 0 0 18 24 28 1.2
+7 0 1 0 0 18 24 29 0.9
+7 0 1 0 0 18 24 30 0.6
+7 0 1 0 0 18 24 31 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 18 24 33 0.3
+7 0 1 0 0 18 24 34 0.6
+7 0 1 0 0 18 24 35 0.9
+7 0 1 0 0 18 24 36 1.2
+7 0 1 0 0 18 24 37 1.5
+7 0 1 0 0 18 24 38 1.8
+7 0 1 0 0 18 24 39 2.1
+7 0 1 0 0 18 24 40 2.4
+7 0 1 0 0 18 24 41 2.7
+7 0 1 0 0 18 24 42 3
+7 0 1 0 0 18 24 43 3.3
+7 0 1 0 0 18 24 44 3.6
+7 0 1 0 0 18 24 45 3.9
+7 0 1 0 0 18 24 46 4.2
+7 0 1 0 0 18 24 47 4.5
+7 0 1 0 0 18 24 48 4.8
+7 0 1 0 0 18 24 49 5.1
+7 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 4.5
+8 0 1 0 0 18 24 18 4.2
+8 0 1 0 0 18 24 19 3.9
+8 0 1 0 0 18 24 20 3.6
+8 0 1 0 0 18 24 21 3.3
+8 0 1 0 0 18 24 22 3
+8 0 1 0 0 18 24 23 2.7
+8 0 1 0 0 18 24 24 2.4
+8 0 1 0 0 18 24 25 2.1
+8 0 1 0 0 18 24 26 1.8
+8 0 1 0 0 18 24 27 1.5
+8 0 1 0 0 18 24 28 1.2
+8 0 1 0 0 18 24 29 0.9
+8 0 1 0 0 18 24 30 0.6
+8 0 1 0 0 18 24 31 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 18 24 33 0.3
+8 0 1 0 0 18 24 34 0.6
+8 0 1 0 0 18 24 35 0.9
+8 0 1 0 0 18 24 36 1.2
+8 0 1 0 0 18 24 37 1.5
+8 0 1 0 0 18 24 38 1.8
+8 0 1 0 0 18 24 39 2.1
+8 0 1 0 0 18 24 40 2.4
+8 0 1 0 0 18 24 41 2.7
+8 0 1 0 0 18 24 42 3
+8 0 1 0 0 18 24 43 3.3
+8 0 1 0 0 18 24 44 3.6
+8 0 1 0 0 18 24 45 3.9
+8 0 1 0 0 18 24 46 4.2
+8 0 1 0 0 18 24 47 4.5
+8 0 1 0 0 18 24 48 4.8
+8 0 1 0 0 18 24 49 5.1
+8 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 9.6
+8 0 0 0 0 18 24 2 9
+8 0 0 0 0 18 24 4 8.4
+8 0 0 0 0 18 24 6 7.8
+8 0 0 0 0 18 24 8 7.2
+8 0 0 0 0 18 24 10 6.6
+8 0 0 0 0 18 24 12 6
+8 0 0 0 0 18 24 14 5.4
+8 0 0 0 0 18 24 16 4.8
+8 0 0 0 0 18 24 18 4.2
+8 0 0 0 0 18 24 20 3.6
+8 0 0 0 0 18 24 22 3
+8 0 0 0 0 18 24 24 2.4
+8 0 0 0 0 18 24 26 1.8
+8 0 0 0 0 18 24 28 1.2
+8 0 0 0 0 18 24 30 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 18 24 34 0.6
+8 0 0 0 0 18 24 36 1.2
+8 0 0 0 0 18 24 38 1.8
+8 0 0 0 0 18 24 40 2.4
+8 0 0 0 0 18 24 42 3
+8 0 0 0 0 18 24 44 3.6
+8 0 0 0 0 18 24 46 4.2
+8 0 0 0 0 18 24 48 4.8
+8 0 0 0 0 18 24 50 5.4
+8 0 0 0 0 18 24 52 6
+8 0 0 0 0 18 24 54 6.6
+8 0 0 0 0 18 24 56 7.2
+8 0 0 0 0 18 24 58 7.8
+8 0 0 0 0 18 24 60 8.4
+8 0 0 0 0 18 24 62 9
+8 0 0 0 0 18 24 64 9.6
+8 0 0 0 0 18 24 66 10.2
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 4.5
+9 0 1 0 0 18 24 18 4.2
+9 0 1 0 0 18 24 19 3.9
+9 0 1 0 0 18 24 20 3.6
+9 0 1 0 0 18 24 21 3.3
+9 0 1 0 0 18 24 22 3
+9 0 1 0 0 18 24 23 2.7
+9 0 1 0 0 18 24 24 2.4
+9 0 1 0 0 18 24 25 2.1
+9 0 1 0 0 18 24 26 1.8
+9 0 1 0 0 18 24 27 1.5
+9 0 1 0 0 18 24 28 1.2
+9 0 1 0 0 18 24 29 0.9
+9 0 1 0 0 18 24 30 0.6
+9 0 1 0 0 18 24 31 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 18 24 33 0.3
+9 0 1 0 0 18 24 34 0.6
+9 0 1 0 0 18 24 35 0.9
+9 0 1 0 0 18 24 36 1.2
+9 0 1 0 0 18 24 37 1.5
+9 0 1 0 0 18 24 38 1.8
+9 0 1 0 0 18 24 39 2.1
+9 0 1 0 0 18 24 40 2.4
+9 0 1 0 0 18 24 41 2.7
+9 0 1 0 0 18 24 42 3
+9 0 1 0 0 18 24 43 3.3
+9 0 1 0 0 18 24 44 3.6
+9 0 1 0 0 18 24 45 3.9
+9 0 1 0 0 18 24 46 4.2
+9 0 1 0 0 18 24 47 4.5
+9 0 1 0 0 18 24 48 4.8
+9 0 1 0 0 18 24 49 5.1
+9 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 4.5
+10 0 1 0 0 18 24 18 4.2
+10 0 1 0 0 18 24 19 3.9
+10 0 1 0 0 18 24 20 3.6
+10 0 1 0 0 18 24 21 3.3
+10 0 1 0 0 18 24 22 3
+10 0 1 0 0 18 24 23 2.7
+10 0 1 0 0 18 24 24 2.4
+10 0 1 0 0 18 24 25 2.1
+10 0 1 0 0 18 24 26 1.8
+10 0 1 0 0 18 24 27 1.5
+10 0 1 0 0 18 24 28 1.2
+10 0 1 0 0 18 24 29 0.9
+10 0 1 0 0 18 24 30 0.6
+10 0 1 0 0 18 24 31 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 18 24 33 0.3
+10 0 1 0 0 18 24 34 0.6
+10 0 1 0 0 18 24 35 0.9
+10 0 1 0 0 18 24 36 1.2
+10 0 1 0 0 18 24 37 1.5
+10 0 1 0 0 18 24 38 1.8
+10 0 1 0 0 18 24 39 2.1
+10 0 1 0 0 18 24 40 2.4
+10 0 1 0 0 18 24 41 2.7
+10 0 1 0 0 18 24 42 3
+10 0 1 0 0 18 24 43 3.3
+10 0 1 0 0 18 24 44 3.6
+10 0 1 0 0 18 24 45 3.9
+10 0 1 0 0 18 24 46 4.2
+10 0 1 0 0 18 24 47 4.5
+10 0 1 0 0 18 24 48 4.8
+10 0 1 0 0 18 24 49 5.1
+10 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 9.6
+10 0 0 0 0 18 24 2 9
+10 0 0 0 0 18 24 4 8.4
+10 0 0 0 0 18 24 6 7.8
+10 0 0 0 0 18 24 8 7.2
+10 0 0 0 0 18 24 10 6.6
+10 0 0 0 0 18 24 12 6
+10 0 0 0 0 18 24 14 5.4
+10 0 0 0 0 18 24 16 4.8
+10 0 0 0 0 18 24 18 4.2
+10 0 0 0 0 18 24 20 3.6
+10 0 0 0 0 18 24 22 3
+10 0 0 0 0 18 24 24 2.4
+10 0 0 0 0 18 24 26 1.8
+10 0 0 0 0 18 24 28 1.2
+10 0 0 0 0 18 24 30 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 18 24 34 0.6
+10 0 0 0 0 18 24 36 1.2
+10 0 0 0 0 18 24 38 1.8
+10 0 0 0 0 18 24 40 2.4
+10 0 0 0 0 18 24 42 3
+10 0 0 0 0 18 24 44 3.6
+10 0 0 0 0 18 24 46 4.2
+10 0 0 0 0 18 24 48 4.8
+10 0 0 0 0 18 24 50 5.4
+10 0 0 0 0 18 24 52 6
+10 0 0 0 0 18 24 54 6.6
+10 0 0 0 0 18 24 56 7.2
+10 0 0 0 0 18 24 58 7.8
+10 0 0 0 0 18 24 60 8.4
+10 0 0 0 0 18 24 62 9
+10 0 0 0 0 18 24 64 9.6
+10 0 0 0 0 18 24 66 10.2
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 4.5
+11 0 1 0 0 18 24 18 4.2
+11 0 1 0 0 18 24 19 3.9
+11 0 1 0 0 18 24 20 3.6
+11 0 1 0 0 18 24 21 3.3
+11 0 1 0 0 18 24 22 3
+11 0 1 0 0 18 24 23 2.7
+11 0 1 0 0 18 24 24 2.4
+11 0 1 0 0 18 24 25 2.1
+11 0 1 0 0 18 24 26 1.8
+11 0 1 0 0 18 24 27 1.5
+11 0 1 0 0 18 24 28 1.2
+11 0 1 0 0 18 24 29 0.9
+11 0 1 0 0 18 24 30 0.6
+11 0 1 0 0 18 24 31 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 18 24 33 0.3
+11 0 1 0 0 18 24 34 0.6
+11 0 1 0 0 18 24 35 0.9
+11 0 1 0 0 18 24 36 1.2
+11 0 1 0 0 18 24 37 1.5
+11 0 1 0 0 18 24 38 1.8
+11 0 1 0 0 18 24 39 2.1
+11 0 1 0 0 18 24 40 2.4
+11 0 1 0 0 18 24 41 2.7
+11 0 1 0 0 18 24 42 3
+11 0 1 0 0 18 24 43 3.3
+11 0 1 0 0 18 24 44 3.6
+11 0 1 0 0 18 24 45 3.9
+11 0 1 0 0 18 24 46 4.2
+11 0 1 0 0 18 24 47 4.5
+11 0 1 0 0 18 24 48 4.8
+11 0 1 0 0 18 24 49 5.1
+11 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 4.5
+12 0 1 0 0 18 24 18 4.2
+12 0 1 0 0 18 24 19 3.9
+12 0 1 0 0 18 24 20 3.6
+12 0 1 0 0 18 24 21 3.3
+12 0 1 0 0 18 24 22 3
+12 0 1 0 0 18 24 23 2.7
+12 0 1 0 0 18 24 24 2.4
+12 0 1 0 0 18 24 25 2.1
+12 0 1 0 0 18 24 26 1.8
+12 0 1 0 0 18 24 27 1.5
+12 0 1 0 0 18 24 28 1.2
+12 0 1 0 0 18 24 29 0.9
+12 0 1 0 0 18 24 30 0.6
+12 0 1 0 0 18 24 31 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 18 24 33 0.3
+12 0 1 0 0 18 24 34 0.6
+12 0 1 0 0 18 24 35 0.9
+12 0 1 0 0 18 24 36 1.2
+12 0 1 0 0 18 24 37 1.5
+12 0 1 0 0 18 24 38 1.8
+12 0 1 0 0 18 24 39 2.1
+12 0 1 0 0 18 24 40 2.4
+12 0 1 0 0 18 24 41 2.7
+12 0 1 0 0 18 24 42 3
+12 0 1 0 0 18 24 43 3.3
+12 0 1 0 0 18 24 44 3.6
+12 0 1 0 0 18 24 45 3.9
+12 0 1 0 0 18 24 46 4.2
+12 0 1 0 0 18 24 47 4.5
+12 0 1 0 0 18 24 48 4.8
+12 0 1 0 0 18 24 49 5.1
+12 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 9.6
+12 0 0 0 0 18 24 2 9
+12 0 0 0 0 18 24 4 8.4
+12 0 0 0 0 18 24 6 7.8
+12 0 0 0 0 18 24 8 7.2
+12 0 0 0 0 18 24 10 6.6
+12 0 0 0 0 18 24 12 6
+12 0 0 0 0 18 24 14 5.4
+12 0 0 0 0 18 24 16 4.8
+12 0 0 0 0 18 24 18 4.2
+12 0 0 0 0 18 24 20 3.6
+12 0 0 0 0 18 24 22 3
+12 0 0 0 0 18 24 24 2.4
+12 0 0 0 0 18 24 26 1.8
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+12 0 0 0 0 18 24 30 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 18 24 34 0.6
+12 0 0 0 0 18 24 36 1.2
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+12 0 0 0 0 18 24 40 2.4
+12 0 0 0 0 18 24 42 3
+12 0 0 0 0 18 24 44 3.6
+12 0 0 0 0 18 24 46 4.2
+12 0 0 0 0 18 24 48 4.8
+12 0 0 0 0 18 24 50 5.4
+12 0 0 0 0 18 24 52 6
+12 0 0 0 0 18 24 54 6.6
+12 0 0 0 0 18 24 56 7.2
+12 0 0 0 0 18 24 58 7.8
+12 0 0 0 0 18 24 60 8.4
+12 0 0 0 0 18 24 62 9
+12 0 0 0 0 18 24 64 9.6
+12 0 0 0 0 18 24 66 10.2
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.xl
new file mode 100644
index 000000000..8cf8dd5ad
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.xl
@@ -0,0 +1,482 @@
+# HYDROTOY::u x (u)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.309016994374946
+0 0 1 0 0 10 24 32 -0.104528463267652
+0 0 1 0 0 11 24 32 0.104528463267655
+0 0 1 0 0 12 24 32 0.309016994374949
+0 0 1 0 0 13 24 32 0.500000000000001
+0 0 1 0 0 14 24 32 0.669130606358859
+0 0 1 0 0 15 24 32 0.809016994374948
+0 0 1 0 0 16 24 32 0.913545457642601
+0 0 1 0 0 17 24 32 0.978147600733806
+0 0 1 0 0 18 24 32 1
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+0 0 1 0 0 20 24 32 0.913545457642601
+0 0 1 0 0 21 24 32 0.809016994374948
+0 0 1 0 0 22 24 32 0.669130606358859
+0 0 1 0 0 23 24 32 0.500000000000001
+0 0 1 0 0 24 24 32 0.309016994374949
+0 0 1 0 0 25 24 32 0.104528463267655
+0 0 1 0 0 26 24 32 -0.104528463267652
+0 0 1 0 0 27 24 32 -0.309016994374946
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.80901699437495
+0 0 0 0 0 2 24 32 -0.978147600733806
+0 0 0 0 0 4 24 32 -0.978147600733805
+0 0 0 0 0 6 24 32 -0.809016994374946
+0 0 0 0 0 8 24 32 -0.499999999999998
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+0 0 0 0 0 12 24 32 0.309016994374949
+0 0 0 0 0 14 24 32 0.669130606358859
+0 0 0 0 0 16 24 32 0.913545457642601
+0 0 0 0 0 18 24 32 1
+0 0 0 0 0 20 24 32 0.913545457642601
+0 0 0 0 0 22 24 32 0.669130606358859
+0 0 0 0 0 24 24 32 0.309016994374949
+0 0 0 0 0 26 24 32 -0.104528463267652
+0 0 0 0 0 28 24 32 -0.499999999999998
+0 0 0 0 0 30 24 32 -0.809016994374946
+0 0 0 0 0 32 24 32 -0.978147600733805
+0 0 0 0 0 34 24 32 -0.978147600733806
+0 0 0 0 0 36 24 32 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.152431492460527
+1 0 1 0 0 10 24 32 0.0563600193614062
+1 0 1 0 0 11 24 32 0.265712841995523
+1 0 1 0 0 12 24 32 0.460231992899264
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+1 0 1 0 0 15 24 32 0.894229352421314
+1 0 1 0 0 16 24 32 0.967792747455213
+1 0 1 0 0 17 24 32 0.999058955440474
+1 0 1 0 0 18 24 32 0.986661493056231
+1 0 1 0 0 19 24 32 0.9311421888983
+1 0 1 0 0 20 24 32 0.834927502969561
+1 0 1 0 0 21 24 32 0.702222478734387
+1 0 1 0 0 22 24 32 0.538826962541212
+1 0 1 0 0 23 24 32 0.351882122506354
+1 0 1 0 0 24 24 32 0.149558345200208
+1 0 1 0 0 25 24 32 -0.0589516342688979
+1 0 1 0 0 26 24 32 -0.26279679501044
+1 0 1 0 0 27 24 32 -0.457422597155463
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.0113922603551225
+2 0 1 0 0 10 24 32 0.219322218933327
+2 0 1 0 0 11 24 32 0.420199068973527
+2 0 1 0 0 12 24 32 0.598974103207183
+2 0 1 0 0 13 24 32 0.752540220547164
+2 0 1 0 0 14 24 32 0.873067709099339
+2 0 1 0 0 15 24 32 0.955442404735028
+2 0 1 0 0 16 24 32 0.996059682562471
+2 0 1 0 0 17 24 32 0.993144372637286
+2 0 1 0 0 18 24 32 0.946823887992414
+2 0 1 0 0 19 24 32 0.85912265607718
+2 0 1 0 0 20 24 32 0.733873641563482
+2 0 1 0 0 21 24 32 0.576550827397022
+2 0 1 0 0 22 24 32 0.394029975475493
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+2 0 1 0 0 24 24 32 -0.0137281404892237
+2 0 1 0 0 25 24 32 -0.220507844906553
+2 0 1 0 0 26 24 32 -0.417658637620938
+2 0 1 0 0 27 24 32 -0.597316331665305
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.955765485796519
+2 0 0 0 0 2 24 32 -0.994570500607911
+2 0 0 0 0 4 24 32 -0.861405240474848
+2 0 0 0 0 6 24 32 -0.579295188642749
+2 0 0 0 0 8 24 32 -0.197019735962746
+2 0 0 0 0 10 24 32 0.219322218933327
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+2 0 0 0 0 18 24 32 0.946823887992414
+2 0 0 0 0 20 24 32 0.733873641563482
+2 0 0 0 0 22 24 32 0.394029975475493
+2 0 0 0 0 24 24 32 -0.0137281404892237
+2 0 0 0 0 26 24 32 -0.417658637620938
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+2 0 0 0 0 30 24 32 -0.955765485796519
+2 0 0 0 0 32 24 32 -0.994570500607911
+2 0 0 0 0 34 24 32 -0.861405240474848
+2 0 0 0 0 36 24 32 -0.579295188642749
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.171349756747298
+3 0 1 0 0 10 24 32 0.37302994818531
+3 0 1 0 0 11 24 32 0.563783809688289
+3 0 1 0 0 12 24 32 0.721499908171139
+3 0 1 0 0 13 24 32 0.850154280683583
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+3 0 1 0 0 20 24 32 0.613093676062228
+3 0 1 0 0 21 24 32 0.435373927186078
+3 0 1 0 0 22 24 32 0.238636428032212
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+3 0 1 0 0 25 24 32 -0.375858081945995
+3 0 1 0 0 26 24 32 -0.557909062861019
+3 0 1 0 0 27 24 32 -0.718088116175499
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.331369835442095
+4 0 1 0 0 10 24 32 0.52125926953829
+4 0 1 0 0 11 24 32 0.692453188571697
+4 0 1 0 0 12 24 32 0.824318927940837
+4 0 1 0 0 13 24 32 0.925035227355309
+4 0 1 0 0 14 24 32 0.983877589389137
+4 0 1 0 0 15 24 32 0.999969249572379
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+4 0 1 0 0 17 24 32 0.902169949369122
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+4 0 1 0 0 25 24 32 -0.520934719419604
+4 0 1 0 0 26 24 32 -0.68728304681006
+4 0 1 0 0 27 24 32 -0.823492371704531
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -1.00236259183865
+4 0 0 0 0 2 24 32 -0.906417389262528
+4 0 0 0 0 4 24 32 -0.653744385539442
+4 0 0 0 0 6 24 32 -0.288033038475295
+4 0 0 0 0 8 24 32 0.127520360561461
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+4 0 0 0 0 18 24 32 0.792595086557144
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+4 0 0 0 0 34 24 32 -0.653744385539442
+4 0 0 0 0 36 24 32 -0.288033038475295
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.478674354469475
+5 0 1 0 0 10 24 32 0.651883975022567
+5 0 1 0 0 11 24 32 0.802603360438287
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+5 0 1 0 0 25 24 32 -0.65202139868977
+5 0 1 0 0 26 24 32 -0.795236164334502
+5 0 1 0 0 27 24 32 -0.904345314836598
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.617395335743131
+6 0 1 0 0 10 24 32 0.768946133961375
+6 0 1 0 0 11 24 32 0.891215451308214
+6 0 1 0 0 12 24 32 0.960696031417079
+6 0 1 0 0 13 24 32 0.999404903274617
+6 0 1 0 0 14 24 32 0.989490889405043
+6 0 1 0 0 15 24 32 0.937851848781089
+6 0 1 0 0 16 24 32 0.844798195570854
+6 0 1 0 0 17 24 32 0.714895320641711
+6 0 1 0 0 18 24 32 0.553735196254365
+6 0 1 0 0 19 24 32 0.368376591744159
+6 0 1 0 0 20 24 32 0.166932568067746
+6 0 1 0 0 21 24 32 -0.0417691937199033
+6 0 1 0 0 22 24 32 -0.248326586803265
+6 0 1 0 0 23 24 32 -0.443749059121955
+6 0 1 0 0 24 24 32 -0.617867255427767
+6 0 1 0 0 25 24 32 -0.765704851816094
+6 0 1 0 0 26 24 32 -0.885283223812199
+6 0 1 0 0 27 24 32 -0.963815789619906
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -0.943615927152599
+6 0 0 0 0 2 24 32 -0.722688394071916
+6 0 0 0 0 4 24 32 -0.37676865988688
+6 0 0 0 0 6 24 32 0.0343121524537051
+6 0 0 0 0 8 24 32 0.439528384756691
+6 0 0 0 0 10 24 32 0.768946133961375
+6 0 0 0 0 12 24 32 0.960696031417079
+6 0 0 0 0 14 24 32 0.989490889405043
+6 0 0 0 0 16 24 32 0.844798195570854
+6 0 0 0 0 18 24 32 0.553735196254365
+6 0 0 0 0 20 24 32 0.166932568067746
+6 0 0 0 0 22 24 32 -0.248326586803265
+6 0 0 0 0 24 24 32 -0.617867255427767
+6 0 0 0 0 26 24 32 -0.885283223812199
+6 0 0 0 0 28 24 32 -1.00170639001759
+6 0 0 0 0 30 24 32 -0.943615927152599
+6 0 0 0 0 32 24 32 -0.722688394071916
+6 0 0 0 0 34 24 32 -0.37676865988688
+6 0 0 0 0 36 24 32 0.0343121524537051
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.736330115911865
+7 0 1 0 0 10 24 32 0.862406152522103
+7 0 1 0 0 11 24 32 0.95579459295023
+7 0 1 0 0 12 24 32 0.990734178742021
+7 0 1 0 0 13 24 32 0.99693121242864
+7 0 1 0 0 14 24 32 0.952088786530713
+7 0 1 0 0 15 24 32 0.868468451342779
+7 0 1 0 0 16 24 32 0.745948107939823
+7 0 1 0 0 17 24 32 0.591032266688689
+7 0 1 0 0 18 24 32 0.410240353910859
+7 0 1 0 0 19 24 32 0.211529239202436
+7 0 1 0 0 20 24 32 0.00361499242052341
+7 0 1 0 0 21 24 32 -0.204382748665131
+7 0 1 0 0 22 24 32 -0.402873488140789
+7 0 1 0 0 23 24 32 -0.583532131041882
+7 0 1 0 0 24 24 32 -0.736542362549316
+7 0 1 0 0 25 24 32 -0.859139672652872
+7 0 1 0 0 26 24 32 -0.94970976345133
+7 0 1 0 0 27 24 32 -0.996264246909497
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.838862723137504
+8 0 1 0 0 10 24 32 0.935610561982288
+8 0 1 0 0 11 24 32 0.994628423231998
+8 0 1 0 0 12 24 32 0.994132592113626
+8 0 1 0 0 13 24 32 0.967840014463343
+8 0 1 0 0 14 24 32 0.888923321558275
+8 0 1 0 0 15 24 32 0.775823555995315
+8 0 1 0 0 16 24 32 0.627012972050091
+8 0 1 0 0 17 24 32 0.451282321642457
+8 0 1 0 0 18 24 32 0.255703886221418
+8 0 1 0 0 19 24 32 0.0489828863328094
+8 0 1 0 0 20 24 32 -0.159782864896216
+8 0 1 0 0 21 24 32 -0.361448566164784
+8 0 1 0 0 22 24 32 -0.546419954874854
+8 0 1 0 0 23 24 32 -0.707521526932693
+8 0 1 0 0 24 24 32 -0.835533291450187
+8 0 1 0 0 25 24 32 -0.929904397185239
+8 0 1 0 0 26 24 32 -0.991087270515836
+8 0 1 0 0 27 24 32 -1.00349818489193
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.785401097599552
+8 0 0 0 0 2 24 32 -0.462470069409471
+8 0 0 0 0 4 24 32 -0.0594243341735509
+8 0 0 0 0 6 24 32 0.353920038195863
+8 0 0 0 0 8 24 32 0.705950106049266
+8 0 0 0 0 10 24 32 0.935610561982288
+8 0 0 0 0 12 24 32 0.994132592113626
+8 0 0 0 0 14 24 32 0.888923321558275
+8 0 0 0 0 16 24 32 0.627012972050091
+8 0 0 0 0 18 24 32 0.255703886221418
+8 0 0 0 0 20 24 32 -0.159782864896216
+8 0 0 0 0 22 24 32 -0.546419954874854
+8 0 0 0 0 24 24 32 -0.835533291450187
+8 0 0 0 0 26 24 32 -0.991087270515836
+8 0 0 0 0 28 24 32 -0.973203289593378
+8 0 0 0 0 30 24 32 -0.785401097599552
+8 0 0 0 0 32 24 32 -0.462470069409471
+8 0 0 0 0 34 24 32 -0.0594243341735509
+8 0 0 0 0 36 24 32 0.353920038195863
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.91658986421557
+9 0 1 0 0 10 24 32 0.981763871486667
+9 0 1 0 0 11 24 32 1.0066169364839
+9 0 1 0 0 12 24 32 0.970999404785819
+9 0 1 0 0 13 24 32 0.912869387001779
+9 0 1 0 0 14 24 32 0.801676211746279
+9 0 1 0 0 15 24 32 0.662429192977763
+9 0 1 0 0 16 24 32 0.491158045683122
+9 0 1 0 0 17 24 32 0.299404205210832
+9 0 1 0 0 18 24 32 0.0942748397340916
+9 0 1 0 0 19 24 32 -0.114888196090703
+9 0 1 0 0 20 24 32 -0.318844020015812
+9 0 1 0 0 21 24 32 -0.508718900960069
+9 0 1 0 0 22 24 32 -0.675114009446393
+9 0 1 0 0 23 24 32 -0.81246368471118
+9 0 1 0 0 24 24 32 -0.912411266086651
+9 0 1 0 0 25 24 32 -0.97626237727215
+9 0 1 0 0 26 24 32 -1.00524856678344
+9 0 1 0 0 27 24 32 -0.983992407907269
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.971850100257036
+10 0 1 0 0 10 24 32 1.00313124465366
+10 0 1 0 0 11 24 32 0.991528679071851
+10 0 1 0 0 12 24 32 0.922004453358295
+10 0 1 0 0 13 24 32 0.833420512202493
+10 0 1 0 0 14 24 32 0.692708921524164
+10 0 1 0 0 15 24 32 0.531349291579165
+10 0 1 0 0 16 24 32 0.341998960178511
+10 0 1 0 0 17 24 32 0.139488127048167
+10 0 1 0 0 18 24 32 -0.0697116262111016
+10 0 1 0 0 19 24 32 -0.275668248137387
+10 0 1 0 0 20 24 32 -0.469264688434764
+10 0 1 0 0 21 24 32 -0.642219424235716
+10 0 1 0 0 22 24 32 -0.785544911642833
+10 0 1 0 0 23 24 32 -0.895662854989526
+10 0 1 0 0 24 24 32 -0.965251381719683
+10 0 1 0 0 25 24 32 -0.99698070677122
+10 0 1 0 0 26 24 32 -0.993582711661571
+10 0 1 0 0 27 24 32 -0.938049325883729
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.544108296485016
+10 0 0 0 0 2 24 32 -0.152945112322822
+10 0 0 0 0 4 24 32 0.265014027342572
+10 0 0 0 0 6 24 32 0.637115259059445
+10 0 0 0 0 8 24 32 0.898298892039585
+10 0 0 0 0 10 24 32 1.00313124465366
+10 0 0 0 0 12 24 32 0.922004453358295
+10 0 0 0 0 14 24 32 0.692708921524164
+10 0 0 0 0 16 24 32 0.341998960178511
+10 0 0 0 0 18 24 32 -0.0697116262111016
+10 0 0 0 0 20 24 32 -0.469264688434764
+10 0 0 0 0 22 24 32 -0.785544911642833
+10 0 0 0 0 24 24 32 -0.965251381719683
+10 0 0 0 0 26 24 32 -0.993582711661571
+10 0 0 0 0 28 24 32 -0.842024566008794
+10 0 0 0 0 30 24 32 -0.544108296485016
+10 0 0 0 0 32 24 32 -0.152945112322822
+10 0 0 0 0 34 24 32 0.265014027342572
+10 0 0 0 0 36 24 32 0.637115259059445
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.999879243019927
+11 0 1 0 0 10 24 32 0.996930335266479
+11 0 1 0 0 11 24 32 0.949748824123315
+11 0 1 0 0 12 24 32 0.84856275995336
+11 0 1 0 0 13 24 32 0.731558699883146
+11 0 1 0 0 14 24 32 0.565003142577215
+11 0 1 0 0 15 24 32 0.386110365388665
+11 0 1 0 0 16 24 32 0.183510041743399
+11 0 1 0 0 17 24 32 -0.024153810747761
+11 0 1 0 0 18 24 32 -0.231851085283206
+11 0 1 0 0 19 24 32 -0.429019157014972
+11 0 1 0 0 20 24 32 -0.60697770920531
+11 0 1 0 0 21 24 32 -0.758366326705795
+11 0 1 0 0 22 24 32 -0.874839427841538
+11 0 1 0 0 23 24 32 -0.955024598462772
+11 0 1 0 0 24 24 32 -0.99277028649328
+11 0 1 0 0 25 24 32 -0.991573504908253
+11 0 1 0 0 26 24 32 -0.955854008527544
+11 0 1 0 0 27 24 32 -0.868364061989262
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 1.00183390378326
+12 0 1 0 0 10 24 32 0.964088592064054
+12 0 1 0 0 11 24 32 0.88250694324697
+12 0 1 0 0 12 24 32 0.752655247401084
+12 0 1 0 0 13 24 32 0.609953579348451
+12 0 1 0 0 14 24 32 0.422073427905048
+12 0 1 0 0 15 24 32 0.230601918884888
+12 0 1 0 0 16 24 32 0.0199252809509673
+12 0 1 0 0 17 24 32 -0.18710465320856
+12 0 1 0 0 18 24 32 -0.387789018307074
+12 0 1 0 0 19 24 32 -0.57079938394335
+12 0 1 0 0 20 24 32 -0.728272314896891
+12 0 1 0 0 21 24 32 -0.85407117215388
+12 0 1 0 0 22 24 32 -0.940731725229683
+12 0 1 0 0 23 24 32 -0.989102266501113
+12 0 1 0 0 24 24 32 -0.994316517086919
+12 0 1 0 0 25 24 32 -0.96010196429352
+12 0 1 0 0 26 24 32 -0.892141022922255
+12 0 1 0 0 27 24 32 -0.7737842846164
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.244963853205913
+12 0 0 0 0 2 24 32 0.173462314035035
+12 0 0 0 0 4 24 32 0.562409029464656
+12 0 0 0 0 6 24 32 0.853891430432549
+12 0 0 0 0 8 24 32 0.995797150823057
+12 0 0 0 0 10 24 32 0.964088592064054
+12 0 0 0 0 12 24 32 0.752655247401084
+12 0 0 0 0 14 24 32 0.422073427905048
+12 0 0 0 0 16 24 32 0.0199252809509673
+12 0 0 0 0 18 24 32 -0.387789018307074
+12 0 0 0 0 20 24 32 -0.728272314896891
+12 0 0 0 0 22 24 32 -0.940731725229683
+12 0 0 0 0 24 24 32 -0.994316517086919
+12 0 0 0 0 26 24 32 -0.892141022922255
+12 0 0 0 0 28 24 32 -0.621426120391927
+12 0 0 0 0 30 24 32 -0.244963853205913
+12 0 0 0 0 32 24 32 0.173462314035035
+12 0 0 0 0 34 24 32 0.562409029464656
+12 0 0 0 0 36 24 32 0.853891430432549
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.yl
new file mode 100644
index 000000000..8b6c2e622
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.yl
@@ -0,0 +1,622 @@
+# HYDROTOY::u y (u)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -4.60170638573454e-15
+0 0 1 0 0 18 14 32 0.142314838273281
+0 0 1 0 0 18 15 32 0.281732556841426
+0 0 1 0 0 18 16 32 0.415415013001883
+0 0 1 0 0 18 17 32 0.540640817455595
+0 0 1 0 0 18 18 32 0.654860733945283
+0 0 1 0 0 18 19 32 0.755749574354257
+0 0 1 0 0 18 20 32 0.84125353283118
+0 0 1 0 0 18 21 32 0.909631995354518
+0 0 1 0 0 18 22 32 0.959492973614497
+0 0 1 0 0 18 23 32 0.989821441880933
+0 0 1 0 0 18 24 32 1
+0 0 1 0 0 18 25 32 0.989821441880933
+0 0 1 0 0 18 26 32 0.959492973614497
+0 0 1 0 0 18 27 32 0.909631995354518
+0 0 1 0 0 18 28 32 0.84125353283118
+0 0 1 0 0 18 29 32 0.755749574354257
+0 0 1 0 0 18 30 32 0.654860733945283
+0 0 1 0 0 18 31 32 0.540640817455595
+0 0 1 0 0 18 32 32 0.415415013001883
+0 0 1 0 0 18 33 32 0.281732556841426
+0 0 1 0 0 18 34 32 0.142314838273281
+0 0 1 0 0 18 35 32 -4.82375099065957e-15
+0 0 1 0 0 18 36 32 -0.142314838273291
+0 0 1 0 0 18 37 32 -0.281732556841435
+0 0 1 0 0 18 38 32 -0.415415013001892
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.959492973614494
+0 0 0 0 0 18 2 32 -1
+0 0 0 0 0 18 4 32 -0.9594929736145
+0 0 0 0 0 18 6 32 -0.841253532831185
+0 0 0 0 0 18 8 32 -0.65486073394529
+0 0 0 0 0 18 10 32 -0.415415013001892
+0 0 0 0 0 18 12 32 -0.14231483827329
+0 0 0 0 0 18 14 32 0.142314838273281
+0 0 0 0 0 18 16 32 0.415415013001883
+0 0 0 0 0 18 18 32 0.654860733945283
+0 0 0 0 0 18 20 32 0.84125353283118
+0 0 0 0 0 18 22 32 0.959492973614497
+0 0 0 0 0 18 24 32 1
+0 0 0 0 0 18 26 32 0.959492973614497
+0 0 0 0 0 18 28 32 0.84125353283118
+0 0 0 0 0 18 30 32 0.654860733945283
+0 0 0 0 0 18 32 32 0.415415013001883
+0 0 0 0 0 18 34 32 0.142314838273281
+0 0 0 0 0 18 36 32 -0.142314838273291
+0 0 0 0 0 18 38 32 -0.415415013001892
+0 0 0 0 0 18 40 32 -0.65486073394529
+0 0 0 0 0 18 42 32 -0.841253532831186
+0 0 0 0 0 18 44 32 -0.9594929736145
+0 0 0 0 0 18 46 32 -1
+0 0 0 0 0 18 48 32 -0.959492973614494
+0 0 0 0 0 18 50 32 -0.841253532831175
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.160432558454101
+1 0 1 0 0 18 14 32 0.299355363480423
+1 0 1 0 0 18 15 32 0.434887450436028
+1 0 1 0 0 18 16 32 0.55844492057536
+1 0 1 0 0 18 17 32 0.670832090622102
+1 0 1 0 0 18 18 32 0.76956305382378
+1 0 1 0 0 18 19 32 0.852627932486192
+1 0 1 0 0 18 20 32 0.918335765219103
+1 0 1 0 0 18 21 32 0.965348930033812
+1 0 1 0 0 18 22 32 0.992710374469464
+1 0 1 0 0 18 23 32 0.999863098421239
+1 0 1 0 0 18 24 32 0.986661493056231
+1 0 1 0 0 18 25 32 0.953374304989386
+1 0 1 0 0 18 26 32 0.900679165377422
+1 0 1 0 0 18 27 32 0.829648795302602
+1 0 1 0 0 18 28 32 0.74172916826498
+1 0 1 0 0 18 29 32 0.638710074331772
+1 0 1 0 0 18 30 32 0.522688685172925
+1 0 1 0 0 18 31 32 0.396026861693655
+1 0 1 0 0 18 32 32 0.261303073357463
+1 0 1 0 0 18 33 32 0.121259907983552
+1 0 1 0 0 18 34 32 -0.0212517594322059
+1 0 1 0 0 18 35 32 -0.163330802310938
+1 0 1 0 0 18 36 32 -0.301789547539521
+1 0 1 0 0 18 37 32 -0.432092373697179
+1 0 1 0 0 18 38 32 -0.556165730036812
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.320195163949167
+2 0 1 0 0 18 14 32 0.452002019295973
+2 0 1 0 0 18 15 32 0.576437219105059
+2 0 1 0 0 18 16 32 0.686273359409448
+2 0 1 0 0 18 17 32 0.783037566642035
+2 0 1 0 0 18 18 32 0.863619219378005
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+2 0 1 0 0 18 20 32 0.970769869376907
+2 0 1 0 0 18 21 32 0.995151400025689
+2 0 1 0 0 18 22 32 0.999274517949606
+2 0 1 0 0 18 23 32 0.983055288357816
+2 0 1 0 0 18 24 32 0.946823887992414
+2 0 1 0 0 18 25 32 0.891317883682107
+2 0 1 0 0 18 26 32 0.817667217608556
+2 0 1 0 0 18 27 32 0.727371204942035
+2 0 1 0 0 18 28 32 0.622268012108237
+2 0 1 0 0 18 29 32 0.504497237020678
+2 0 1 0 0 18 30 32 0.376456353037272
+2 0 1 0 0 18 31 32 0.240751903316502
+2 0 1 0 0 18 32 32 0.100146439115366
+2 0 1 0 0 18 33 32 -0.0424977177876775
+2 0 1 0 0 18 34 32 -0.184267513912292
+2 0 1 0 0 18 35 32 -0.322024676883886
+2 0 1 0 0 18 36 32 -0.453152121957099
+2 0 1 0 0 18 37 32 -0.574468832385415
+2 0 1 0 0 18 38 32 -0.685417277112103
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -1.00051323460778
+2 0 0 0 0 18 2 32 -0.948719671596804
+2 0 0 0 0 18 4 32 -0.820066483046201
+2 0 0 0 0 18 6 32 -0.624976385162354
+2 0 0 0 0 18 8 32 -0.379254417430333
+2 0 0 0 0 18 10 32 -0.102807512310972
+2 0 0 0 0 18 12 32 0.181968246036004
+2 0 0 0 0 18 14 32 0.452002019295973
+2 0 0 0 0 18 16 32 0.686273359409448
+2 0 0 0 0 18 18 32 0.863619219378005
+2 0 0 0 0 18 20 32 0.970769869376907
+2 0 0 0 0 18 22 32 0.999274517949606
+2 0 0 0 0 18 24 32 0.946823887992414
+2 0 0 0 0 18 26 32 0.817667217608556
+2 0 0 0 0 18 28 32 0.622268012108237
+2 0 0 0 0 18 30 32 0.376456353037272
+2 0 0 0 0 18 32 32 0.100146439115366
+2 0 0 0 0 18 34 32 -0.184267513912292
+2 0 0 0 0 18 36 32 -0.453152121957099
+2 0 0 0 0 18 38 32 -0.685417277112103
+2 0 0 0 0 18 40 32 -0.863304103470106
+2 0 0 0 0 18 42 32 -0.971251165632156
+2 0 0 0 0 18 44 32 -1.00051323460778
+2 0 0 0 0 18 46 32 -0.948719671596804
+2 0 0 0 0 18 48 32 -0.820066483046201
+2 0 0 0 0 18 50 32 -0.624976385162354
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.467911489927742
+3 0 1 0 0 18 14 32 0.589255846106157
+3 0 1 0 0 18 15 32 0.702501806054214
+3 0 1 0 0 18 16 32 0.795479566795861
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+3 0 1 0 0 18 36 32 -0.592212699474895
+3 0 1 0 0 18 37 32 -0.69911439274983
+3 0 1 0 0 18 38 32 -0.793912736129098
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.607480655529478
+4 0 1 0 0 18 14 32 0.714783163782234
+4 0 1 0 0 18 15 32 0.80966528337694
+4 0 1 0 0 18 16 32 0.882977735547087
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+4 0 1 0 0 18 18 32 0.980234017611278
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+4 0 1 0 0 18 21 32 0.974510541572971
+4 0 1 0 0 18 22 32 0.932439546669672
+4 0 1 0 0 18 23 32 0.871386777573123
+4 0 1 0 0 18 24 32 0.792595086557144
+4 0 1 0 0 18 25 32 0.697668445234346
+4 0 1 0 0 18 26 32 0.588539286276234
+4 0 1 0 0 18 27 32 0.467429164656689
+4 0 1 0 0 18 28 32 0.336803533199133
+4 0 1 0 0 18 29 32 0.199321553066827
+4 0 1 0 0 18 30 32 0.057781969923449
+4 0 1 0 0 18 31 32 -0.0849332442737889
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+4 0 1 0 0 18 33 32 -0.362230950178712
+4 0 1 0 0 18 34 32 -0.491184345097186
+4 0 1 0 0 18 35 32 -0.608710848811975
+4 0 1 0 0 18 36 32 -0.715255930634413
+4 0 1 0 0 18 37 32 -0.808257233173757
+4 0 1 0 0 18 38 32 -0.88473774645402
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -0.936397049231443
+4 0 0 0 0 18 2 32 -0.79750835846836
+4 0 0 0 0 18 4 32 -0.594010283467016
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+4 0 0 0 0 18 10 32 0.221436399628968
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+4 0 0 0 0 18 14 32 0.714783163782234
+4 0 0 0 0 18 16 32 0.882977735547087
+4 0 0 0 0 18 18 32 0.980234017611278
+4 0 0 0 0 18 20 32 0.99674279315545
+4 0 0 0 0 18 22 32 0.932439546669672
+4 0 0 0 0 18 24 32 0.792595086557144
+4 0 0 0 0 18 26 32 0.588539286276234
+4 0 0 0 0 18 28 32 0.336803533199133
+4 0 0 0 0 18 30 32 0.057781969923449
+4 0 0 0 0 18 32 32 -0.225917538430028
+4 0 0 0 0 18 34 32 -0.491184345097186
+4 0 0 0 0 18 36 32 -0.715255930634413
+4 0 0 0 0 18 38 32 -0.88473774645402
+4 0 0 0 0 18 40 32 -0.981520308838447
+4 0 0 0 0 18 42 32 -0.999424420033477
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+4 0 0 0 0 18 48 32 -0.594010283467016
+4 0 0 0 0 18 50 32 -0.342389028014344
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.727469292523459
+5 0 1 0 0 18 14 32 0.81809726426295
+5 0 1 0 0 18 15 32 0.894997891828366
+5 0 1 0 0 18 16 32 0.946563892219171
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+5 0 1 0 0 18 18 32 0.999581628869909
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+5 0 1 0 0 18 20 32 0.969571455439943
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+5 0 1 0 0 18 24 32 0.682336964479598
+5 0 1 0 0 18 25 32 0.571267768564254
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+5 0 1 0 0 18 27 32 0.316739072182406
+5 0 1 0 0 18 28 32 0.178461042293354
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+5 0 1 0 0 18 30 32 -0.10610480752816
+5 0 1 0 0 18 31 32 -0.246594661360434
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+5 0 1 0 0 18 33 32 -0.509541030571825
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+5 0 1 0 0 18 37 32 -0.893052720957895
+5 0 1 0 0 18 38 32 -0.950033372699939
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.831564473183407
+6 0 1 0 0 18 14 32 0.902693716902058
+6 0 1 0 0 18 15 32 0.956250900339429
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+6 0 1 0 0 18 22 32 0.76608181387789
+6 0 1 0 0 18 23 32 0.66669462552243
+6 0 1 0 0 18 24 32 0.553735196254365
+6 0 1 0 0 18 25 32 0.429503326189011
+6 0 1 0 0 18 26 32 0.296528002538404
+6 0 1 0 0 18 27 32 0.157516228351707
+6 0 1 0 0 18 28 32 0.0152978807485628
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+6 0 1 0 0 18 37 32 -0.957226471201861
+6 0 1 0 0 18 38 32 -0.992419259995831
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -0.773613468881637
+6 0 0 0 0 18 2 32 -0.562009242653593
+6 0 0 0 0 18 4 32 -0.30487549313056
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+6 0 0 0 0 18 22 32 0.76608181387789
+6 0 0 0 0 18 24 32 0.553735196254365
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+6 0 0 0 0 18 48 32 -0.30487549313056
+6 0 0 0 0 18 50 32 -0.0230425443184478
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.911030351746214
+7 0 1 0 0 18 14 32 0.961041231222394
+7 0 1 0 0 18 15 32 0.991775066271288
+7 0 1 0 0 18 16 32 0.996050865982522
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+7 0 1 0 0 18 18 32 0.957518202796936
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+7 0 1 0 0 18 22 32 0.650747295236039
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+7 0 1 0 0 18 24 32 0.410240353910859
+7 0 1 0 0 18 25 32 0.27617969915405
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+7 0 1 0 0 18 28 32 -0.148304883264731
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+7 0 1 0 0 18 37 32 -0.993136613591923
+7 0 1 0 0 18 38 32 -1.00745785626604
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.968485416194873
+8 0 1 0 0 18 14 32 0.995650237383014
+8 0 1 0 0 18 15 32 1.00071570784498
+8 0 1 0 0 18 16 32 0.980919840964424
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+8 0 1 0 0 18 18 32 0.897164891575257
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+8 0 1 0 0 18 23 32 0.390789986071722
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+8 0 1 0 0 18 25 32 0.11541289820567
+8 0 1 0 0 18 26 32 -0.0272277438325264
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+8 0 1 0 0 18 30 32 -0.563719286155379
+8 0 1 0 0 18 31 32 -0.675501368868803
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+8 0 1 0 0 18 35 32 -0.962806784825702
+8 0 1 0 0 18 36 32 -0.990953485206389
+8 0 1 0 0 18 37 32 -1.00554673476181
+8 0 1 0 0 18 38 32 -0.996628345535797
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.529031092242213
+8 0 0 0 0 18 2 32 -0.266774836606918
+8 0 0 0 0 18 4 32 0.017089571311092
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+8 0 0 0 0 18 14 32 0.995650237383014
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+8 0 0 0 0 18 18 32 0.897164891575257
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+8 0 0 0 0 18 26 32 -0.0272277438325264
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+8 0 0 0 0 18 34 32 -0.92000223187195
+8 0 0 0 0 18 36 32 -0.990953485206389
+8 0 0 0 0 18 38 32 -0.996628345535797
+8 0 0 0 0 18 40 32 -0.907210201631139
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+8 0 0 0 0 18 46 32 -0.266774836606918
+8 0 0 0 0 18 48 32 0.017089571311092
+8 0 0 0 0 18 50 32 0.299567039224753
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0.998806638098124
+9 0 1 0 0 18 14 32 1.00275865666627
+9 0 1 0 0 18 15 32 0.982851444404718
+9 0 1 0 0 18 16 32 0.93971990583353
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+9 0 1 0 0 18 29 32 -0.581203720018315
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+9 0 1 0 0 18 36 32 -0.997063626735162
+9 0 1 0 0 18 37 32 -0.988872913575093
+9 0 1 0 0 18 38 32 -0.959455460246035
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 1.0033451662732
+10 0 1 0 0 18 14 32 0.983620515311368
+10 0 1 0 0 18 15 32 0.9387675567388
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+10 0 1 0 0 18 22 32 0.214370477853116
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+10 0 1 0 0 18 37 32 -0.948055603411022
+10 0 1 0 0 18 38 32 -0.896097622916442
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.228161074832807
+10 0 0 0 0 18 2 32 0.057286611204755
+10 0 0 0 0 18 4 32 0.338103443452015
+10 0 0 0 0 18 6 32 0.591510017855445
+10 0 0 0 0 18 8 32 0.796997952576385
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+10 0 0 0 0 18 12 32 1.00169542619054
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+10 0 0 0 0 18 16 32 0.87364486199063
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+10 0 0 0 0 18 20 32 0.480623600534341
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+10 0 0 0 0 18 26 32 -0.348186355175916
+10 0 0 0 0 18 28 32 -0.59845137737009
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+10 0 0 0 0 18 32 32 -0.936661561951006
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+10 0 0 0 0 18 40 32 -0.721595567697389
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+10 0 0 0 0 18 44 32 -0.228161074832807
+10 0 0 0 0 18 46 32 0.057286611204755
+10 0 0 0 0 18 48 32 0.338103443452015
+10 0 0 0 0 18 50 32 0.591510017855445
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.981065556855178
+11 0 1 0 0 18 14 32 0.938635665442232
+11 0 1 0 0 18 15 32 0.869647422832467
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+11 0 1 0 0 18 37 32 -0.880602593623421
+11 0 1 0 0 18 38 32 -0.810186363909918
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.932011382031437
+12 0 1 0 0 18 14 32 0.867670823017555
+12 0 1 0 0 18 15 32 0.777407737636328
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+12 0 1 0 0 18 37 32 -0.790583182458473
+12 0 1 0 0 18 38 32 -0.700511173105496
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.0975185648784567
+12 0 0 0 0 18 2 32 0.376139507675348
+12 0 0 0 0 18 4 32 0.624395009623803
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+12 0 0 0 0 18 38 32 -0.700511173105496
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+12 0 0 0 0 18 42 32 -0.190330625785958
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+12 0 0 0 0 18 46 32 0.376139507675348
+12 0 0 0 0 18 48 32 0.624395009623803
+12 0 0 0 0 18 50 32 0.821987585681196
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.zl
new file mode 100644
index 000000000..3647703fa
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.zl
@@ -0,0 +1,782 @@
+# HYDROTOY::u z (u)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -1
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+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.913545457642604
+0 0 0 0 0 18 24 2 1
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+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.986764645176802
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+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.948045062206597
+2 0 1 0 0 18 24 18 -0.861405240474847
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+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 0.996953826263689
+2 0 0 0 0 18 24 2 0.948719671596808
+2 0 0 0 0 18 24 4 0.73644326686319
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+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.88504128396079
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+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.796733086189038
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+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 0.97571163067272
+4 0 0 0 0 18 24 2 0.797508358468365
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+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -0.689419430971584
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+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.560635835560605
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+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 0.851778147743213
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+7 0 1 0 0 18 24 30 0.745985380211477
+7 0 1 0 0 18 24 31 0.591028304429982
+7 0 1 0 0 18 24 32 0.410240353910859
+7 0 1 0 0 18 24 33 0.211523030477925
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+7 0 1 0 0 18 24 49 -0.0128432654750366
+7 0 1 0 0 18 24 50 0.191676359841948
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -0.264346524141334
+8 0 1 0 0 18 24 18 -0.0559225493391202
+8 0 1 0 0 18 24 19 0.161684727900368
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+8 0 1 0 0 18 24 26 0.999164193046093
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+8 0 1 0 0 18 24 28 0.890086052339261
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+8 0 1 0 0 18 24 33 0.0489634436497722
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+8 0 1 0 0 18 24 42 -0.965702123159515
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+8 0 1 0 0 18 24 45 -0.626200420986222
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+8 0 1 0 0 18 24 49 0.150781611667243
+8 0 1 0 0 18 24 50 0.3507341680116
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 0.637920049169408
+8 0 0 0 0 18 24 2 0.266772904316275
+8 0 0 0 0 18 24 4 -0.1505015869729
+8 0 0 0 0 18 24 6 -0.541752986610458
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+8 0 0 0 0 18 24 20 0.361737072888345
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+8 0 0 0 0 18 24 24 0.935616707965051
+8 0 0 0 0 18 24 26 0.999164193046093
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+8 0 0 0 0 18 24 48 -0.0529528391959737
+8 0 0 0 0 18 24 50 0.3507341680116
+8 0 0 0 0 18 24 52 0.707308904388295
+8 0 0 0 0 18 24 54 0.935750282173851
+8 0 0 0 0 18 24 56 1.00423985390878
+8 0 0 0 0 18 24 58 0.8987619968652
+8 0 0 0 0 18 24 60 0.637920049169408
+8 0 0 0 0 18 24 62 0.266772904316275
+8 0 0 0 0 18 24 64 -0.1505015869729
+8 0 0 0 0 18 24 66 -0.541752986610458
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.105350213130218
+9 0 1 0 0 18 24 18 0.105969271429982
+9 0 1 0 0 18 24 19 0.321804486413214
+9 0 1 0 0 18 24 20 0.507977494504076
+9 0 1 0 0 18 24 21 0.676933496137484
+9 0 1 0 0 18 24 22 0.816812454647179
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+9 0 1 0 0 18 24 24 0.981317181079393
+9 0 1 0 0 18 24 25 1.00069714896425
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+9 0 1 0 0 18 24 27 0.910002832569593
+9 0 1 0 0 18 24 28 0.803517979537338
+9 0 1 0 0 18 24 29 0.66191248449038
+9 0 1 0 0 18 24 30 0.491377920622661
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+9 0 1 0 0 18 24 32 0.0942748397340916
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+9 0 1 0 0 18 24 42 -0.909955411434904
+9 0 1 0 0 18 24 43 -0.803259602966809
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+9 0 1 0 0 18 24 46 -0.299224662957597
+9 0 1 0 0 18 24 47 -0.0963197964253904
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+9 0 1 0 0 18 24 49 0.307430971877061
+9 0 1 0 0 18 24 50 0.496884510316423
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.060835473967743
+10 0 1 0 0 18 24 18 0.269499727035345
+10 0 1 0 0 18 24 19 0.473244524864263
+10 0 1 0 0 18 24 20 0.640279008934002
+10 0 1 0 0 18 24 21 0.788726458235415
+10 0 1 0 0 18 24 22 0.900525981812929
+10 0 1 0 0 18 24 23 0.970647488578544
+10 0 1 0 0 18 24 24 1.00071745355885
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+10 0 1 0 0 18 24 27 0.829836769943159
+10 0 1 0 0 18 24 28 0.695362542137089
+10 0 1 0 0 18 24 29 0.530488131971853
+10 0 1 0 0 18 24 30 0.342428846575948
+10 0 1 0 0 18 24 31 0.139406379866213
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+10 0 1 0 0 18 24 42 -0.829748993857601
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+10 0 1 0 0 18 24 45 -0.341600001088412
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+10 0 1 0 0 18 24 49 0.459499781861914
+10 0 1 0 0 18 24 50 0.634237190174742
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 0.356398201603107
+10 0 0 0 0 18 24 2 -0.0573018562906155
+10 0 0 0 0 18 24 4 -0.461091820195017
+10 0 0 0 0 18 24 6 -0.785154877110779
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+10 0 0 0 0 18 24 14 -0.543792886470201
+10 0 0 0 0 18 24 16 -0.150394643133545
+10 0 0 0 0 18 24 18 0.269499727035345
+10 0 0 0 0 18 24 20 0.640279008934002
+10 0 0 0 0 18 24 22 0.900525981812929
+10 0 0 0 0 18 24 24 1.00071745355885
+10 0 0 0 0 18 24 26 0.928106614512336
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+10 0 0 0 0 18 24 30 0.342428846575948
+10 0 0 0 0 18 24 32 -0.0697116262111016
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+10 0 0 0 0 18 24 48 0.267185589786329
+10 0 0 0 0 18 24 50 0.634237190174742
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+10 0 0 0 0 18 24 54 1.00479377848686
+10 0 0 0 0 18 24 56 0.9381816279812
+10 0 0 0 0 18 24 58 0.708450811116398
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+10 0 0 0 0 18 24 64 -0.461091820195017
+10 0 0 0 0 18 24 66 -0.785154877110779
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.221369651697714
+11 0 1 0 0 18 24 18 0.421618819987773
+11 0 1 0 0 18 24 19 0.611912143524814
+11 0 1 0 0 18 24 20 0.755368899718608
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+11 0 1 0 0 18 24 28 0.5685260861365
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+11 0 1 0 0 18 24 45 -0.183959787314209
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+11 0 1 0 0 18 24 49 0.595934011780746
+11 0 1 0 0 18 24 50 0.75169238771847
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.380270909574741
+12 0 1 0 0 18 24 18 0.566676549450331
+12 0 1 0 0 18 24 19 0.734140603864215
+12 0 1 0 0 18 24 20 0.850175922963284
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+12 0 1 0 0 18 24 49 0.72068246618314
+12 0 1 0 0 18 24 50 0.852950042903637
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 0.0366537871779
+12 0 0 0 0 18 24 2 -0.376202192313853
+12 0 0 0 0 18 24 4 -0.723996248719062
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+12 0 0 0 0 18 24 64 -0.723996248719062
+12 0 0 0 0 18 24 66 -0.946605480875195
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.xl
new file mode 100644
index 000000000..83e3a7c55
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.xl
@@ -0,0 +1,482 @@
+# HYDROTOY::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.196827067972686
+0 0 1 0 0 10 24 32 -0.0665789627081124
+0 0 1 0 0 11 24 32 0.0665789627081145
+0 0 1 0 0 12 24 32 0.196827067972688
+0 0 1 0 0 13 24 32 0.318472885885794
+0 0 1 0 0 14 24 32 0.426199910483233
+0 0 1 0 0 15 24 32 0.515299953858481
+0 0 1 0 0 16 24 32 0.581878916566594
+0 0 1 0 0 17 24 32 0.62302697845592
+0 0 1 0 0 18 24 32 0.636945771771587
+0 0 1 0 0 19 24 32 0.62302697845592
+0 0 1 0 0 20 24 32 0.581878916566594
+0 0 1 0 0 21 24 32 0.515299953858481
+0 0 1 0 0 22 24 32 0.426199910483233
+0 0 1 0 0 23 24 32 0.318472885885794
+0 0 1 0 0 24 24 32 0.196827067972688
+0 0 1 0 0 25 24 32 0.0665789627081145
+0 0 1 0 0 26 24 32 -0.0665789627081126
+0 0 1 0 0 27 24 32 -0.196827067972686
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.515299953858482
+0 0 0 0 0 2 24 32 -0.62302697845592
+0 0 0 0 0 4 24 32 -0.62302697845592
+0 0 0 0 0 6 24 32 -0.51529995385848
+0 0 0 0 0 8 24 32 -0.318472885885792
+0 0 0 0 0 10 24 32 -0.0665789627081124
+0 0 0 0 0 12 24 32 0.196827067972688
+0 0 0 0 0 14 24 32 0.426199910483233
+0 0 0 0 0 16 24 32 0.581878916566594
+0 0 0 0 0 18 24 32 0.636945771771587
+0 0 0 0 0 20 24 32 0.581878916566594
+0 0 0 0 0 22 24 32 0.426199910483233
+0 0 0 0 0 24 24 32 0.196827067972688
+0 0 0 0 0 26 24 32 -0.0665789627081126
+0 0 0 0 0 28 24 32 -0.318472885885792
+0 0 0 0 0 30 24 32 -0.51529995385848
+0 0 0 0 0 32 24 32 -0.62302697845592
+0 0 0 0 0 34 24 32 -0.62302697845592
+0 0 0 0 0 36 24 32 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.0973195350500494
+1 0 1 0 0 10 24 32 0.0356668155049764
+1 0 1 0 0 11 24 32 0.169271369771323
+1 0 1 0 0 12 24 32 0.293071522772708
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+1 0 1 0 0 15 24 32 0.569535439387465
+1 0 1 0 0 16 24 32 0.616405936459762
+1 0 1 0 0 17 24 32 0.636336536264916
+1 0 1 0 0 18 24 32 0.628456175953815
+1 0 1 0 0 19 24 32 0.593109265086217
+1 0 1 0 0 20 24 32 0.531840633280333
+1 0 1 0 0 21 24 32 0.447328013745593
+1 0 1 0 0 22 24 32 0.343265013492209
+1 0 1 0 0 23 24 32 0.22419968498093
+1 0 1 0 0 24 24 32 0.0953357544065354
+1 0 1 0 0 25 24 32 -0.0371738401891932
+1 0 1 0 0 26 24 32 -0.167163605655932
+1 0 1 0 0 27 24 32 -0.291147369612687
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.00664574421749244
+2 0 1 0 0 10 24 32 0.139079131940516
+2 0 1 0 0 11 24 32 0.267990694475707
+2 0 1 0 0 12 24 32 0.381367593493265
+2 0 1 0 0 13 24 32 0.479211475772128
+2 0 1 0 0 14 24 32 0.556000672787044
+2 0 1 0 0 15 24 32 0.608496017634465
+2 0 1 0 0 16 24 32 0.634397166623412
+2 0 1 0 0 17 24 32 0.632572115255564
+2 0 1 0 0 18 24 32 0.603100627033265
+2 0 1 0 0 19 24 32 0.54727074741172
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+2 0 1 0 0 21 24 32 0.367341295541731
+2 0 1 0 0 22 24 32 0.251105503737309
+2 0 1 0 0 23 24 32 0.12391147666661
+2 0 1 0 0 24 24 32 -0.00858254917153948
+2 0 1 0 0 25 24 32 -0.139448071603551
+2 0 1 0 0 26 24 32 -0.265429365246958
+2 0 1 0 0 27 24 32 -0.379908726375628
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.608492170320791
+2 0 0 0 0 2 24 32 -0.633457407715208
+2 0 0 0 0 4 24 32 -0.548892104535778
+2 0 0 0 0 6 24 32 -0.369418369953888
+2 0 0 0 0 8 24 32 -0.126068843146438
+2 0 0 0 0 10 24 32 0.139079131940516
+2 0 0 0 0 12 24 32 0.381367593493265
+2 0 0 0 0 14 24 32 0.556000672787044
+2 0 0 0 0 16 24 32 0.634397166623412
+2 0 0 0 0 18 24 32 0.603100627033265
+2 0 0 0 0 20 24 32 0.467522510031876
+2 0 0 0 0 22 24 32 0.251105503737309
+2 0 0 0 0 24 24 32 -0.00858254917153948
+2 0 0 0 0 26 24 32 -0.265429365246958
+2 0 0 0 0 28 24 32 -0.478313108700085
+2 0 0 0 0 30 24 32 -0.608492170320791
+2 0 0 0 0 32 24 32 -0.633457407715208
+2 0 0 0 0 34 24 32 -0.548892104535778
+2 0 0 0 0 36 24 32 -0.369418369953888
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.108210098794584
+3 0 1 0 0 10 24 32 0.236718081195018
+3 0 1 0 0 11 24 32 0.360012376812624
+3 0 1 0 0 12 24 32 0.45931441127479
+3 0 1 0 0 13 24 32 0.541374934608528
+3 0 1 0 0 14 24 32 0.599311127754145
+3 0 1 0 0 15 24 32 0.63113287627763
+3 0 1 0 0 16 24 32 0.635366511859372
+3 0 1 0 0 17 24 32 0.611831770959215
+3 0 1 0 0 18 24 32 0.561557045773571
+3 0 1 0 0 19 24 32 0.48673958303795
+3 0 1 0 0 20 24 32 0.390649264887917
+3 0 1 0 0 21 24 32 0.27748620807491
+3 0 1 0 0 22 24 32 0.152202018728468
+3 0 1 0 0 23 24 32 0.0203690488063119
+3 0 1 0 0 24 24 32 -0.112125435319296
+3 0 1 0 0 25 24 32 -0.237591030872871
+3 0 1 0 0 26 24 32 -0.354406683323582
+3 0 1 0 0 27 24 32 -0.456530052035244
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.209854971679238
+4 0 1 0 0 10 24 32 0.330896965069647
+4 0 1 0 0 11 24 32 0.442672561943264
+4 0 1 0 0 12 24 32 0.524683036040805
+4 0 1 0 0 13 24 32 0.589123550896575
+4 0 1 0 0 14 24 32 0.626525057575401
+4 0 1 0 0 15 24 32 0.636838472170445
+4 0 1 0 0 16 24 32 0.619284745694651
+4 0 1 0 0 17 24 32 0.574669469482085
+4 0 1 0 0 18 24 32 0.504938202020884
+4 0 1 0 0 19 24 32 0.413138733971208
+4 0 1 0 0 20 24 32 0.303283404610584
+4 0 1 0 0 21 24 32 0.180179377260964
+4 0 1 0 0 22 24 32 0.0492284300615583
+4 0 1 0 0 23 24 32 -0.0835917096252756
+4 0 1 0 0 24 24 32 -0.212391501213837
+4 0 1 0 0 25 24 32 -0.329109854319301
+4 0 1 0 0 26 24 32 -0.436418745938339
+4 0 1 0 0 27 24 32 -0.523399898662173
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -0.638086200378305
+4 0 0 0 0 2 24 32 -0.57748024821656
+4 0 0 0 0 4 24 32 -0.417022714894814
+4 0 0 0 0 6 24 32 -0.184458165635327
+4 0 0 0 0 8 24 32 0.0800380178333529
+4 0 0 0 0 10 24 32 0.330896965069647
+4 0 0 0 0 12 24 32 0.524683036040805
+4 0 0 0 0 14 24 32 0.626525057575401
+4 0 0 0 0 16 24 32 0.619284745694651
+4 0 0 0 0 18 24 32 0.504938202020884
+4 0 0 0 0 20 24 32 0.303283404610584
+4 0 0 0 0 22 24 32 0.0492284300615583
+4 0 0 0 0 24 24 32 -0.212391501213837
+4 0 0 0 0 26 24 32 -0.436418745938339
+4 0 0 0 0 28 24 32 -0.588421629037836
+4 0 0 0 0 30 24 32 -0.638086200378305
+4 0 0 0 0 32 24 32 -0.57748024821656
+4 0 0 0 0 34 24 32 -0.417022714894814
+4 0 0 0 0 36 24 32 -0.184458165635327
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.303368518709485
+5 0 1 0 0 10 24 32 0.413783718767214
+5 0 1 0 0 11 24 32 0.51354681138373
+5 0 1 0 0 12 24 32 0.575793832687342
+5 0 1 0 0 13 24 32 0.621256115896745
+5 0 1 0 0 14 24 32 0.636882424518159
+5 0 1 0 0 15 24 32 0.625465785285577
+5 0 1 0 0 16 24 32 0.586579529997068
+5 0 1 0 0 17 24 32 0.522080446202038
+5 0 1 0 0 18 24 32 0.434761914942754
+5 0 1 0 0 19 24 32 0.328442718597702
+5 0 1 0 0 20 24 32 0.20777106148296
+5 0 1 0 0 21 24 32 0.0780459267880942
+5 0 1 0 0 22 24 32 -0.055019271700067
+5 0 1 0 0 23 24 32 -0.185096409177277
+5 0 1 0 0 24 24 32 -0.306759215123936
+5 0 1 0 0 25 24 32 -0.411778600159822
+5 0 1 0 0 26 24 32 -0.504887654532882
+5 0 1 0 0 27 24 32 -0.574676641303666
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.391399456585256
+6 0 1 0 0 10 24 32 0.487989030553447
+6 0 1 0 0 11 24 32 0.570641986851277
+6 0 1 0 0 12 24 32 0.611229236444156
+6 0 1 0 0 13 24 32 0.636938335234609
+6 0 1 0 0 14 24 32 0.630066660312417
+6 0 1 0 0 15 24 32 0.597336665801499
+6 0 1 0 0 16 24 32 0.538122600934815
+6 0 1 0 0 17 24 32 0.455475090499822
+6 0 1 0 0 18 24 32 0.352910397571519
+6 0 1 0 0 19 24 32 0.234925412789135
+6 0 1 0 0 20 24 32 0.106680710314624
+6 0 1 0 0 21 24 32 -0.0261473226398542
+6 0 1 0 0 22 24 32 -0.157701823390915
+6 0 1 0 0 23 24 32 -0.281392467904433
+6 0 1 0 0 24 24 32 -0.392682928411136
+6 0 1 0 0 25 24 32 -0.483483592956596
+6 0 1 0 0 26 24 32 -0.562006041959994
+6 0 1 0 0 27 24 32 -0.612431324869577
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -0.60076846793495
+6 0 0 0 0 2 24 32 -0.460811012388645
+6 0 0 0 0 4 24 32 -0.241137210479794
+6 0 0 0 0 6 24 32 0.0202454642268279
+6 0 0 0 0 8 24 32 0.278224376857334
+6 0 0 0 0 10 24 32 0.487989030553447
+6 0 0 0 0 12 24 32 0.611229236444156
+6 0 0 0 0 14 24 32 0.630066660312417
+6 0 0 0 0 16 24 32 0.538122600934815
+6 0 0 0 0 18 24 32 0.352910397571519
+6 0 0 0 0 20 24 32 0.106680710314624
+6 0 0 0 0 22 24 32 -0.157701823390915
+6 0 0 0 0 24 24 32 -0.392682928411136
+6 0 0 0 0 26 24 32 -0.562006041959994
+6 0 0 0 0 28 24 32 -0.63714185471174
+6 0 0 0 0 30 24 32 -0.60076846793495
+6 0 0 0 0 32 24 32 -0.460811012388645
+6 0 0 0 0 34 24 32 -0.241137210479794
+6 0 0 0 0 36 24 32 0.0202454642268279
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.466782278043679
+7 0 1 0 0 10 24 32 0.547008653138462
+7 0 1 0 0 11 24 32 0.612241171230807
+7 0 1 0 0 12 24 32 0.630165797980614
+7 0 1 0 0 13 24 32 0.635776723010824
+7 0 1 0 0 14 24 32 0.606221056174996
+7 0 1 0 0 15 24 32 0.553233049493741
+7 0 1 0 0 16 24 32 0.475204547526585
+7 0 1 0 0 17 24 32 0.376642269373464
+7 0 1 0 0 18 24 32 0.261579849657015
+7 0 1 0 0 19 24 32 0.135100425501602
+7 0 1 0 0 20 24 32 0.00273622951808676
+7 0 1 0 0 21 24 32 -0.129567413114122
+7 0 1 0 0 22 24 32 -0.256022393751796
+7 0 1 0 0 23 24 32 -0.36988054024403
+7 0 1 0 0 24 24 32 -0.46800213689998
+7 0 1 0 0 25 24 32 -0.542544736795203
+7 0 1 0 0 26 24 32 -0.603004321403345
+7 0 1 0 0 27 24 32 -0.633088798646662
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.531659286857421
+8 0 1 0 0 10 24 32 0.59301066895222
+8 0 1 0 0 11 24 32 0.637232358478579
+8 0 1 0 0 12 24 32 0.632104537521655
+8 0 1 0 0 13 24 32 0.617758600160912
+8 0 1 0 0 14 24 32 0.565953167545442
+8 0 1 0 0 15 24 32 0.494374049923271
+8 0 1 0 0 16 24 32 0.399498960611568
+8 0 1 0 0 17 24 32 0.287703084765766
+8 0 1 0 0 18 24 32 0.163221645576797
+8 0 1 0 0 19 24 32 0.0316555314786178
+8 0 1 0 0 20 24 32 -0.101255061993592
+8 0 1 0 0 21 24 32 -0.229395215398181
+8 0 1 0 0 22 24 32 -0.347312115527003
+8 0 1 0 0 23 24 32 -0.448245536354377
+8 0 1 0 0 24 24 32 -0.530782879899847
+8 0 1 0 0 25 24 32 -0.58743364315645
+8 0 1 0 0 26 24 32 -0.629472355135045
+8 0 1 0 0 27 24 32 -0.637816122036855
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.500260122819249
+8 0 0 0 0 2 24 32 -0.295572051448085
+8 0 0 0 0 4 24 32 -0.0396132690882706
+8 0 0 0 0 6 24 32 0.223204098527639
+8 0 0 0 0 8 24 32 0.447495798107447
+8 0 0 0 0 10 24 32 0.59301066895222
+8 0 0 0 0 12 24 32 0.632104537521655
+8 0 0 0 0 14 24 32 0.565953167545442
+8 0 0 0 0 16 24 32 0.399498960611568
+8 0 0 0 0 18 24 32 0.163221645576797
+8 0 0 0 0 20 24 32 -0.101255061993592
+8 0 0 0 0 22 24 32 -0.347312115527003
+8 0 0 0 0 24 24 32 -0.530782879899847
+8 0 0 0 0 26 24 32 -0.629472355135045
+8 0 0 0 0 28 24 32 -0.619127662102149
+8 0 0 0 0 30 24 32 -0.500260122819249
+8 0 0 0 0 32 24 32 -0.295572051448085
+8 0 0 0 0 34 24 32 -0.0396132690882706
+8 0 0 0 0 36 24 32 0.223204098527639
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.580685298358815
+9 0 1 0 0 10 24 32 0.621626825713215
+9 0 1 0 0 11 24 32 0.644827677374528
+9 0 1 0 0 12 24 32 0.617104640249006
+9 0 1 0 0 13 24 32 0.583310235338105
+9 0 1 0 0 14 24 32 0.510327896750514
+9 0 1 0 0 15 24 32 0.422375940571056
+9 0 1 0 0 16 24 32 0.313017359350813
+9 0 1 0 0 17 24 32 0.191055996057573
+9 0 1 0 0 18 24 32 0.0604766672451975
+9 0 1 0 0 19 24 32 -0.0726175381988089
+9 0 1 0 0 20 24 32 -0.202478090233785
+9 0 1 0 0 21 24 32 -0.322910353759578
+9 0 1 0 0 22 24 32 -0.429114360527023
+9 0 1 0 0 23 24 32 -0.514474396261956
+9 0 1 0 0 24 24 32 -0.579515412027335
+9 0 1 0 0 25 24 32 -0.61713211506881
+9 0 1 0 0 26 24 32 -0.638833396418837
+9 0 1 0 0 27 24 32 -0.625668500941253
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.615347223979753
+10 0 1 0 0 10 24 32 0.634313207515283
+10 0 1 0 0 11 24 32 0.634923718002873
+10 0 1 0 0 12 24 32 0.585577389407132
+10 0 1 0 0 13 24 32 0.53324714402456
+10 0 1 0 0 14 24 32 0.440843312581992
+10 0 1 0 0 15 24 32 0.339200288587481
+10 0 1 0 0 16 24 32 0.218057035692635
+10 0 1 0 0 17 24 32 0.0893142044843637
+10 0 1 0 0 18 24 32 -0.0438955148072313
+10 0 1 0 0 19 24 32 -0.174896754323637
+10 0 1 0 0 20 24 32 -0.298188407095373
+10 0 1 0 0 21 24 32 -0.407575169699699
+10 0 1 0 0 22 24 32 -0.499258930103551
+10 0 1 0 0 23 24 32 -0.566934810194031
+10 0 1 0 0 24 24 32 -0.613018252323881
+10 0 1 0 0 25 24 32 -0.630808974152969
+10 0 1 0 0 26 24 32 -0.631946360833473
+10 0 1 0 0 27 24 32 -0.59679801832679
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.346991088724117
+10 0 0 0 0 2 24 32 -0.0990292266893935
+10 0 0 0 0 4 24 32 0.166426601530943
+10 0 0 0 0 6 24 32 0.402982080641666
+10 0 0 0 0 8 24 32 0.569721980277897
+10 0 0 0 0 10 24 32 0.634313207515283
+10 0 0 0 0 12 24 32 0.585577389407132
+10 0 0 0 0 14 24 32 0.440843312581992
+10 0 0 0 0 16 24 32 0.218057035692635
+10 0 0 0 0 18 24 32 -0.0438955148072313
+10 0 0 0 0 20 24 32 -0.298188407095373
+10 0 0 0 0 22 24 32 -0.499258930103551
+10 0 0 0 0 24 24 32 -0.613018252323881
+10 0 0 0 0 26 24 32 -0.631946360833473
+10 0 0 0 0 28 24 32 -0.535937783454686
+10 0 0 0 0 30 24 32 -0.346991088724117
+10 0 0 0 0 32 24 32 -0.0990292266893935
+10 0 0 0 0 34 24 32 0.166426601530943
+10 0 0 0 0 36 24 32 0.402982080641666
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.63261746110972
+11 0 1 0 0 10 24 32 0.629359771320221
+11 0 1 0 0 11 24 32 0.607730154353028
+11 0 1 0 0 12 24 32 0.538405527874346
+11 0 1 0 0 13 24 32 0.468808356768689
+11 0 1 0 0 14 24 32 0.359392246396134
+11 0 1 0 0 15 24 32 0.247091145553248
+11 0 1 0 0 16 24 32 0.117143046858248
+11 0 1 0 0 17 24 32 -0.0147638174008543
+11 0 1 0 0 18 24 32 -0.147090794529019
+11 0 1 0 0 19 24 32 -0.27240576122327
+11 0 1 0 0 20 24 32 -0.385791191819795
+11 0 1 0 0 21 24 32 -0.481114813817196
+11 0 1 0 0 22 24 32 -0.555925441432385
+11 0 1 0 0 23 24 32 -0.604375594383203
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+11 0 1 0 0 26 24 32 -0.60863913501185
+11 0 1 0 0 27 24 32 -0.552962261725833
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0.633286276437354
+12 0 1 0 0 10 24 32 0.607336531474097
+12 0 1 0 0 11 24 32 0.564124714907532
+12 0 1 0 0 12 24 32 0.476835293486911
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+12 0 1 0 0 14 24 32 0.268205916326188
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+12 0 1 0 0 16 24 32 0.0129657003306459
+12 0 1 0 0 17 24 32 -0.118349533671474
+12 0 1 0 0 18 24 32 -0.246336127739087
+12 0 1 0 0 19 24 32 -0.362490814029399
+12 0 1 0 0 20 24 32 -0.462918474620023
+12 0 1 0 0 21 24 32 -0.541587285793128
+12 0 1 0 0 22 24 32 -0.59768879814306
+12 0 1 0 0 23 24 32 -0.625951358373227
+12 0 1 0 0 24 24 32 -0.631634963619643
+12 0 1 0 0 25 24 32 -0.609211589482629
+12 0 1 0 0 26 24 32 -0.568969090076336
+12 0 1 0 0 27 24 32 -0.493329977251036
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.157043483246334
+12 0 0 0 0 2 24 32 0.108219403439306
+12 0 0 0 0 4 24 32 0.355310747169661
+12 0 0 0 0 6 24 32 0.540432865235801
+12 0 0 0 0 8 24 32 0.631634773110887
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+12 0 0 0 0 12 24 32 0.476835293486911
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+12 0 0 0 0 18 24 32 -0.246336127739087
+12 0 0 0 0 20 24 32 -0.462918474620023
+12 0 0 0 0 22 24 32 -0.59768879814306
+12 0 0 0 0 24 24 32 -0.631634963619643
+12 0 0 0 0 26 24 32 -0.568969090076336
+12 0 0 0 0 28 24 32 -0.39597367270725
+12 0 0 0 0 30 24 32 -0.157043483246334
+12 0 0 0 0 32 24 32 0.108219403439306
+12 0 0 0 0 34 24 32 0.355310747169661
+12 0 0 0 0 36 24 32 0.540432865235801
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.yl
new file mode 100644
index 000000000..382d64731
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.yl
@@ -0,0 +1,622 @@
+# HYDROTOY::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -2.93103742532793e-15
+0 0 1 0 0 18 14 32 0.0906468344985235
+0 0 1 0 0 18 15 32 0.179448360850545
+0 0 1 0 0 18 16 32 0.264596836061988
+0 0 1 0 0 18 17 32 0.344358882725476
+0 0 1 0 0 18 18 32 0.417110775585686
+0 0 1 0 0 18 19 32 0.481371495903121
+0 0 1 0 0 18 20 32 0.53583288072473
+0 0 1 0 0 18 21 32 0.579386253309212
+0 0 1 0 0 18 22 32 0.611144992588301
+0 0 1 0 0 18 23 32 0.630462582214916
+0 0 1 0 0 18 24 32 0.636945771771587
+0 0 1 0 0 18 25 32 0.630462582214916
+0 0 1 0 0 18 26 32 0.611144992588301
+0 0 1 0 0 18 27 32 0.579386253309212
+0 0 1 0 0 18 28 32 0.53583288072473
+0 0 1 0 0 18 29 32 0.48137149590312
+0 0 1 0 0 18 30 32 0.417110775585686
+0 0 1 0 0 18 31 32 0.344358882725476
+0 0 1 0 0 18 32 32 0.264596836061988
+0 0 1 0 0 18 33 32 0.179448360850545
+0 0 1 0 0 18 34 32 0.0906468344985234
+0 0 1 0 0 18 35 32 -3.07246779757962e-15
+0 0 1 0 0 18 36 32 -0.0906468344985296
+0 0 1 0 0 18 37 32 -0.17944836085055
+0 0 1 0 0 18 38 32 -0.264596836061994
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.611144992588299
+0 0 0 0 0 18 2 32 -0.636945771771587
+0 0 0 0 0 18 4 32 -0.611144992588303
+0 0 0 0 0 18 6 32 -0.535832880724733
+0 0 0 0 0 18 8 32 -0.417110775585691
+0 0 0 0 0 18 10 32 -0.264596836061994
+0 0 0 0 0 18 12 32 -0.0906468344985295
+0 0 0 0 0 18 14 32 0.0906468344985235
+0 0 0 0 0 18 16 32 0.264596836061988
+0 0 0 0 0 18 18 32 0.417110775585686
+0 0 0 0 0 18 20 32 0.53583288072473
+0 0 0 0 0 18 22 32 0.611144992588301
+0 0 0 0 0 18 24 32 0.636945771771587
+0 0 0 0 0 18 26 32 0.611144992588301
+0 0 0 0 0 18 28 32 0.53583288072473
+0 0 0 0 0 18 30 32 0.417110775585686
+0 0 0 0 0 18 32 32 0.264596836061988
+0 0 0 0 0 18 34 32 0.0906468344985234
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+0 0 0 0 0 18 38 32 -0.264596836061994
+0 0 0 0 0 18 40 32 -0.417110775585691
+0 0 0 0 0 18 42 32 -0.535832880724734
+0 0 0 0 0 18 44 32 -0.611144992588303
+0 0 0 0 0 18 46 32 -0.636945771771587
+0 0 0 0 0 18 48 32 -0.611144992588299
+0 0 0 0 0 18 50 32 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.101958040479921
+1 0 1 0 0 18 14 32 0.19045190926366
+1 0 1 0 0 18 15 32 0.276801468550228
+1 0 1 0 0 18 16 32 0.355631693593013
+1 0 1 0 0 18 17 32 0.42722228291136
+1 0 1 0 0 18 18 32 0.490115858556959
+1 0 1 0 0 18 19 32 0.543032088699761
+1 0 1 0 0 18 20 32 0.584893751491865
+1 0 1 0 0 18 21 32 0.614848664197891
+1 0 1 0 0 18 22 32 0.632287031177978
+1 0 1 0 0 18 23 32 0.63685385756851
+1 0 1 0 0 18 24 32 0.628456175953815
+1 0 1 0 0 18 25 32 0.607264938914655
+1 0 1 0 0 18 26 32 0.573711538926666
+1 0 1 0 0 18 27 32 0.528479026453587
+1 0 1 0 0 18 28 32 0.472488205009576
+1 0 1 0 0 18 29 32 0.406878886255038
+1 0 1 0 0 18 30 32 0.332986686718163
+1 0 1 0 0 18 31 32 0.252315838494016
+1 0 1 0 0 18 32 32 0.166508567416923
+1 0 1 0 0 18 33 32 0.0773116620782785
+1 0 1 0 0 18 34 32 -0.0134590857518569
+1 0 1 0 0 18 35 32 -0.103955845408883
+1 0 1 0 0 18 36 32 -0.192336363837286
+1 0 1 0 0 18 37 32 -0.275010333503837
+1 0 1 0 0 18 38 32 -0.354054672129119
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.203336824400688
+2 0 1 0 0 18 14 32 0.287310844989877
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+2 0 1 0 0 18 23 32 0.626156178906293
+2 0 1 0 0 18 24 32 0.603100627033265
+2 0 1 0 0 18 25 32 0.567767685592429
+2 0 1 0 0 18 26 32 0.520876631379732
+2 0 1 0 0 18 27 32 0.463382031036309
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+2 0 1 0 0 18 33 32 -0.0269158286163637
+2 0 1 0 0 18 34 32 -0.117220277357043
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+2 0 1 0 0 18 36 32 -0.288811734351734
+2 0 1 0 0 18 37 32 -0.365347955302905
+2 0 1 0 0 18 38 32 -0.436059668496852
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -0.637195713383579
+2 0 0 0 0 18 2 32 -0.604381951846523
+2 0 0 0 0 18 4 32 -0.522604758968737
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+2 0 0 0 0 18 14 32 0.287310844989877
+2 0 0 0 0 18 16 32 0.437116971964769
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+2 0 0 0 0 18 24 32 0.603100627033265
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+2 0 0 0 0 18 48 32 -0.522604758968737
+2 0 0 0 0 18 50 32 -0.398489236569475
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.297122722560746
+3 0 1 0 0 18 14 32 0.374509240180489
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+3 0 1 0 0 18 27 32 0.385840917706499
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+3 0 1 0 0 18 37 32 -0.444792713212239
+3 0 1 0 0 18 38 32 -0.504818975199184
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.385785774294104
+4 0 1 0 0 18 14 32 0.454285228667723
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+4 0 1 0 0 18 37 32 -0.513778155864505
+4 0 1 0 0 18 38 32 -0.562263542224784
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -0.59648290094983
+4 0 0 0 0 18 2 32 -0.508360375451156
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+4 0 0 0 0 18 48 32 -0.379053515669004
+4 0 0 0 0 18 50 32 -0.2190379943654
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.461982023582225
+5 0 1 0 0 18 14 32 0.520003489409864
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+5 0 1 0 0 18 37 32 -0.567907470470853
+5 0 1 0 0 18 38 32 -0.603405776709597
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.528170939056102
+6 0 1 0 0 18 14 32 0.573875796087483
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+6 0 1 0 0 18 37 32 -0.608058940421168
+6 0 1 0 0 18 38 32 -0.629908209608308
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -0.493113583217527
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+6 0 0 0 0 18 48 32 -0.195446804267703
+6 0 0 0 0 18 50 32 -0.0162449601242362
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.578671104300322
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+7 0 1 0 0 18 38 32 -0.639028155964778
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.615314473707338
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+8 0 1 0 0 18 37 32 -0.638237275477403
+8 0 1 0 0 18 38 32 -0.63167984409772
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.337794414256765
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0.634684145500917
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+9 0 1 0 0 18 38 32 -0.60765616371159
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0.637802949551435
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+10 0 1 0 0 18 38 32 -0.567026151571569
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.146717302248781
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+10 0 0 0 0 18 44 32 -0.146717302248781
+10 0 0 0 0 18 46 32 0.0344564120422083
+10 0 0 0 0 18 48 32 0.212856332547802
+10 0 0 0 0 18 50 32 0.374010450518071
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.623890701044922
+11 0 1 0 0 18 14 32 0.597981119610756
+11 0 1 0 0 18 15 32 0.555255460639951
+11 0 1 0 0 18 16 32 0.502520311488975
+11 0 1 0 0 18 17 32 0.442736976927187
+11 0 1 0 0 18 18 32 0.37144017641271
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+11 0 1 0 0 18 20 32 0.211188710891615
+11 0 1 0 0 18 21 32 0.123696535590605
+11 0 1 0 0 18 22 32 0.033467082697674
+11 0 1 0 0 18 23 32 -0.0573864756554763
+11 0 1 0 0 18 24 32 -0.147090794529019
+11 0 1 0 0 18 25 32 -0.233796955512129
+11 0 1 0 0 18 26 32 -0.315745246398729
+11 0 1 0 0 18 27 32 -0.391264512451399
+11 0 1 0 0 18 28 32 -0.458819038059449
+11 0 1 0 0 18 29 32 -0.517021849789593
+11 0 1 0 0 18 30 32 -0.564698587140084
+11 0 1 0 0 18 31 32 -0.600772718896677
+11 0 1 0 0 18 32 32 -0.624662128712614
+11 0 1 0 0 18 33 32 -0.635460856803793
+11 0 1 0 0 18 34 32 -0.633714825997764
+11 0 1 0 0 18 35 32 -0.619272893967401
+11 0 1 0 0 18 36 32 -0.59254383399494
+11 0 1 0 0 18 37 32 -0.558366056910157
+11 0 1 0 0 18 38 32 -0.512163545938501
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.593055239247653
+12 0 1 0 0 18 14 32 0.553241833268086
+12 0 1 0 0 18 15 32 0.496607693835816
+12 0 1 0 0 18 16 32 0.432570205273845
+12 0 1 0 0 18 17 32 0.362070415133382
+12 0 1 0 0 18 18 32 0.28196086045698
+12 0 1 0 0 18 19 32 0.19884468028377
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+12 0 1 0 0 18 21 32 0.0200058492597362
+12 0 1 0 0 18 22 32 -0.0708868541085894
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+12 0 1 0 0 18 24 32 -0.246336127739087
+12 0 1 0 0 18 25 32 -0.327426377941907
+12 0 1 0 0 18 26 32 -0.401854913795506
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+12 0 1 0 0 18 28 32 -0.524815904456938
+12 0 1 0 0 18 29 32 -0.570825180140896
+12 0 1 0 0 18 30 32 -0.605216790771992
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+12 0 1 0 0 18 32 32 -0.636368409926427
+12 0 1 0 0 18 33 32 -0.632299830544713
+12 0 1 0 0 18 34 32 -0.61583202882374
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+12 0 1 0 0 18 36 32 -0.547092257461848
+12 0 1 0 0 18 37 32 -0.500387561732002
+12 0 1 0 0 18 38 32 -0.442277100725438
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.060135210290912
+12 0 0 0 0 18 2 32 0.236957458686899
+12 0 0 0 0 18 4 32 0.394656523170681
+12 0 0 0 0 18 6 32 0.520374610204579
+12 0 0 0 0 18 8 32 0.603881821454625
+12 0 0 0 0 18 10 32 0.638500164736141
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+12 0 0 0 0 18 18 32 0.28196086045698
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+12 0 0 0 0 18 22 32 -0.0708868541085894
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+12 0 0 0 0 18 26 32 -0.401854913795506
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+12 0 0 0 0 18 30 32 -0.605216790771992
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+12 0 0 0 0 18 34 32 -0.61583202882374
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+12 0 0 0 0 18 38 32 -0.442277100725438
+12 0 0 0 0 18 40 32 -0.292296600410237
+12 0 0 0 0 18 42 32 -0.121852593477315
+12 0 0 0 0 18 44 32 0.060135210290912
+12 0 0 0 0 18 46 32 0.236957458686899
+12 0 0 0 0 18 48 32 0.394656523170681
+12 0 0 0 0 18 50 32 0.520374610204579
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.zl
new file mode 100644
index 000000000..74154f4f6
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.zl
@@ -0,0 +1,782 @@
+# HYDROTOY::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -0.636945771771587
+0 0 1 0 0 18 24 18 -0.62302697845592
+0 0 1 0 0 18 24 19 -0.581878916566593
+0 0 1 0 0 18 24 20 -0.515299953858479
+0 0 1 0 0 18 24 21 -0.426199910483232
+0 0 1 0 0 18 24 22 -0.318472885885792
+0 0 1 0 0 18 24 23 -0.196827067972686
+0 0 1 0 0 18 24 24 -0.0665789627081123
+0 0 1 0 0 18 24 25 0.0665789627081145
+0 0 1 0 0 18 24 26 0.196827067972688
+0 0 1 0 0 18 24 27 0.318472885885794
+0 0 1 0 0 18 24 28 0.426199910483233
+0 0 1 0 0 18 24 29 0.515299953858481
+0 0 1 0 0 18 24 30 0.581878916566594
+0 0 1 0 0 18 24 31 0.62302697845592
+0 0 1 0 0 18 24 32 0.636945771771587
+0 0 1 0 0 18 24 33 0.62302697845592
+0 0 1 0 0 18 24 34 0.581878916566594
+0 0 1 0 0 18 24 35 0.515299953858481
+0 0 1 0 0 18 24 36 0.426199910483233
+0 0 1 0 0 18 24 37 0.318472885885794
+0 0 1 0 0 18 24 38 0.196827067972688
+0 0 1 0 0 18 24 39 0.0665789627081145
+0 0 1 0 0 18 24 40 -0.0665789627081124
+0 0 1 0 0 18 24 41 -0.196827067972686
+0 0 1 0 0 18 24 42 -0.318472885885792
+0 0 1 0 0 18 24 43 -0.426199910483232
+0 0 1 0 0 18 24 44 -0.515299953858479
+0 0 1 0 0 18 24 45 -0.581878916566593
+0 0 1 0 0 18 24 46 -0.62302697845592
+0 0 1 0 0 18 24 47 -0.636945771771587
+0 0 1 0 0 18 24 48 -0.62302697845592
+0 0 1 0 0 18 24 49 -0.581878916566595
+0 0 1 0 0 18 24 50 -0.515299953858482
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.581878916566596
+0 0 0 0 0 18 24 2 0.636945771771587
+0 0 0 0 0 18 24 4 0.581878916566593
+0 0 0 0 0 18 24 6 0.42619991048323
+0 0 0 0 0 18 24 8 0.196827067972683
+0 0 0 0 0 18 24 10 -0.0665789627081168
+0 0 0 0 0 18 24 12 -0.318472885885796
+0 0 0 0 0 18 24 14 -0.515299953858482
+0 0 0 0 0 18 24 16 -0.62302697845592
+0 0 0 0 0 18 24 18 -0.62302697845592
+0 0 0 0 0 18 24 20 -0.515299953858479
+0 0 0 0 0 18 24 22 -0.318472885885792
+0 0 0 0 0 18 24 24 -0.0665789627081123
+0 0 0 0 0 18 24 26 0.196827067972688
+0 0 0 0 0 18 24 28 0.426199910483233
+0 0 0 0 0 18 24 30 0.581878916566594
+0 0 0 0 0 18 24 32 0.636945771771587
+0 0 0 0 0 18 24 34 0.581878916566594
+0 0 0 0 0 18 24 36 0.426199910483233
+0 0 0 0 0 18 24 38 0.196827067972688
+0 0 0 0 0 18 24 40 -0.0665789627081124
+0 0 0 0 0 18 24 42 -0.318472885885792
+0 0 0 0 0 18 24 44 -0.515299953858479
+0 0 0 0 0 18 24 46 -0.62302697845592
+0 0 0 0 0 18 24 48 -0.62302697845592
+0 0 0 0 0 18 24 50 -0.515299953858482
+0 0 0 0 0 18 24 52 -0.318472885885796
+0 0 0 0 0 18 24 54 -0.0665789627081168
+0 0 0 0 0 18 24 56 0.196827067972684
+0 0 0 0 0 18 24 58 0.42619991048323
+0 0 0 0 0 18 24 60 0.581878916566593
+0 0 0 0 0 18 24 62 0.636945771771587
+0 0 0 0 0 18 24 64 0.581878916566596
+0 0 0 0 0 18 24 66 0.426199910483237
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.628552655248775
+1 0 1 0 0 18 24 18 -0.594053210778659
+1 0 1 0 0 18 24 19 -0.531840633280331
+1 0 1 0 0 18 24 20 -0.447328013745592
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+1 0 1 0 0 18 24 22 -0.224199684980929
+1 0 1 0 0 18 24 23 -0.0953357544065331
+1 0 1 0 0 18 24 24 0.037694806107133
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+1 0 1 0 0 18 24 26 0.293071522772709
+1 0 1 0 0 18 24 27 0.404256490972886
+1 0 1 0 0 18 24 28 0.497773510679683
+1 0 1 0 0 18 24 29 0.569535439387465
+1 0 1 0 0 18 24 30 0.616405936459762
+1 0 1 0 0 18 24 31 0.636336536264916
+1 0 1 0 0 18 24 32 0.628456175953815
+1 0 1 0 0 18 24 33 0.593109265086217
+1 0 1 0 0 18 24 34 0.531840633280333
+1 0 1 0 0 18 24 35 0.447328013745593
+1 0 1 0 0 18 24 36 0.343265013492209
+1 0 1 0 0 18 24 37 0.224199684980931
+1 0 1 0 0 18 24 38 0.0953357544065354
+1 0 1 0 0 18 24 39 -0.0376948061071307
+1 0 1 0 0 18 24 40 -0.169077922714167
+1 0 1 0 0 18 24 41 -0.293071522772706
+1 0 1 0 0 18 24 42 -0.404256490972884
+1 0 1 0 0 18 24 43 -0.497773510679681
+1 0 1 0 0 18 24 44 -0.569535439387463
+1 0 1 0 0 18 24 45 -0.616405936459761
+1 0 1 0 0 18 24 46 -0.636336536264916
+1 0 1 0 0 18 24 47 -0.628456175953816
+1 0 1 0 0 18 24 48 -0.593109265086218
+1 0 1 0 0 18 24 49 -0.532764421039846
+1 0 1 0 0 18 24 50 -0.448932909375275
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.603952191874012
+2 0 1 0 0 18 24 18 -0.548892104535778
+2 0 1 0 0 18 24 19 -0.467447866874051
+2 0 1 0 0 18 24 20 -0.367350511862264
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+2 0 1 0 0 18 24 24 0.140973507602591
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+2 0 1 0 0 18 24 26 0.381466611518256
+2 0 1 0 0 18 24 27 0.479205430551592
+2 0 1 0 0 18 24 28 0.556000672787044
+2 0 1 0 0 18 24 29 0.608496017634465
+2 0 1 0 0 18 24 30 0.634397166623412
+2 0 1 0 0 18 24 31 0.632572115255564
+2 0 1 0 0 18 24 32 0.603100627033265
+2 0 1 0 0 18 24 33 0.54727074741172
+2 0 1 0 0 18 24 34 0.467522510031876
+2 0 1 0 0 18 24 35 0.367341295541732
+2 0 1 0 0 18 24 36 0.25110550373731
+2 0 1 0 0 18 24 37 0.123895196481674
+2 0 1 0 0 18 24 38 -0.00872992537532283
+2 0 1 0 0 18 24 39 -0.140973507602589
+2 0 1 0 0 18 24 40 -0.26705587108168
+2 0 1 0 0 18 24 41 -0.381466611518254
+2 0 1 0 0 18 24 42 -0.47920543055159
+2 0 1 0 0 18 24 43 -0.556000672787042
+2 0 1 0 0 18 24 44 -0.608496017634465
+2 0 1 0 0 18 24 45 -0.634397166623412
+2 0 1 0 0 18 24 46 -0.632572115255564
+2 0 1 0 0 18 24 47 -0.603114437017972
+2 0 1 0 0 18 24 48 -0.547369821424088
+2 0 1 0 0 18 24 49 -0.469079251221587
+2 0 1 0 0 18 24 50 -0.369418369953891
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 0.634847735200847
+2 0 0 0 0 18 24 2 0.604381951846527
+2 0 0 0 0 18 24 4 0.469413038380274
+2 0 0 0 0 18 24 6 0.253278346094499
+2 0 0 0 0 18 24 8 -0.00665047319255442
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+2 0 0 0 0 18 24 24 0.140973507602591
+2 0 0 0 0 18 24 26 0.381466611518256
+2 0 0 0 0 18 24 28 0.556000672787044
+2 0 0 0 0 18 24 30 0.634397166623412
+2 0 0 0 0 18 24 32 0.603100627033265
+2 0 0 0 0 18 24 34 0.467522510031876
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+2 0 0 0 0 18 24 52 -0.126068843146442
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+2 0 0 0 0 18 24 56 0.380179061620702
+2 0 0 0 0 18 24 58 0.555542577728327
+2 0 0 0 0 18 24 60 0.634847735200847
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+2 0 0 0 0 18 24 64 0.469413038380274
+2 0 0 0 0 18 24 66 0.253278346094499
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.56404500468142
+3 0 1 0 0 18 24 18 -0.490169365593426
+3 0 1 0 0 18 24 19 -0.390420486732474
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+3 0 1 0 0 18 24 33 0.48673958303795
+3 0 1 0 0 18 24 34 0.390649264887917
+3 0 1 0 0 18 24 35 0.277485699319131
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+3 0 1 0 0 18 24 37 0.0202520173095952
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+3 0 1 0 0 18 24 49 -0.393462752993905
+3 0 1 0 0 18 24 50 -0.281813846197895
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.50812143198451
+4 0 1 0 0 18 24 18 -0.417009758662887
+4 0 1 0 0 18 24 19 -0.302776609144337
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+4 0 1 0 0 18 24 33 0.41313871807259
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+4 0 1 0 0 18 24 49 -0.306499131785603
+4 0 1 0 0 18 24 50 -0.184433501239431
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 0.621361463077224
+4 0 0 0 0 18 24 2 0.508360375451162
+4 0 0 0 0 18 24 4 0.307459160600561
+4 0 0 0 0 18 24 6 0.0533954637033426
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+4 0 0 0 0 18 24 24 0.333551539438283
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+4 0 0 0 0 18 24 30 0.619284912007798
+4 0 0 0 0 18 24 32 0.504938202020884
+4 0 0 0 0 18 24 34 0.303283089685003
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+4 0 0 0 0 18 24 50 -0.184433501239431
+4 0 0 0 0 18 24 52 0.080000876212331
+4 0 0 0 0 18 24 54 0.330627039777737
+4 0 0 0 0 18 24 56 0.524084784513212
+4 0 0 0 0 18 24 58 0.626923508845555
+4 0 0 0 0 18 24 60 0.621361463077224
+4 0 0 0 0 18 24 62 0.508360375451162
+4 0 0 0 0 18 24 64 0.307459160600561
+4 0 0 0 0 18 24 66 0.0533954637033426
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -0.440215712712109
+5 0 1 0 0 18 24 18 -0.334569609426121
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+5 0 1 0 0 18 24 32 0.434761914942754
+5 0 1 0 0 18 24 33 0.328442379363536
+5 0 1 0 0 18 24 34 0.207768334940961
+5 0 1 0 0 18 24 35 0.0780138180376932
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+5 0 1 0 0 18 24 49 -0.212449418693753
+5 0 1 0 0 18 24 50 -0.0844937466888049
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.358773166285318
+6 0 1 0 0 18 24 18 -0.241130142655809
+6 0 1 0 0 18 24 19 -0.105329933197362
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+6 0 1 0 0 18 24 49 -0.111470001901406
+6 0 1 0 0 18 24 50 0.0204108879907517
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 0.542663970499057
+6 0 0 0 0 18 24 2 0.358814710696298
+6 0 0 0 0 18 24 4 0.112923127684829
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+6 0 0 0 0 18 24 56 0.613303015573441
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+6 0 0 0 0 18 24 64 0.112923127684829
+6 0 0 0 0 18 24 66 -0.152493889977748
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -0.269958967633508
+7 0 1 0 0 18 24 18 -0.143639857955098
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+7 0 1 0 0 18 24 49 -0.00884339110407254
+7 0 1 0 0 18 24 50 0.122278662024737
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -0.17154155732614
+8 0 1 0 0 18 24 18 -0.0397825887896061
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+8 0 1 0 0 18 24 49 0.0955673400580863
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+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 0.406861988467461
+8 0 0 0 0 18 24 2 0.171334964440375
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.0711814641347157
+9 0 1 0 0 18 24 18 0.0624403210298785
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.0338094988824368
+10 0 1 0 0 18 24 18 0.165695986106952
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+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 0.228090403271795
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+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.135071702071379
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+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.235487791423327
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+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+12 0 0 0 0 18 24 58 0.282719842833278
+12 0 0 0 0 18 24 60 0.0250411599882911
+12 0 0 0 0 18 24 62 -0.23696361719395
+12 0 0 0 0 18 24 64 -0.457995382209808
+12 0 0 0 0 18 24 66 -0.599835554460835
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.xl
new file mode 100644
index 000000000..1c41a0453
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.xl
@@ -0,0 +1,482 @@
+# HYDROTOY::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.134200273617741
+0 0 1 0 0 10 24 32 -0.045394747300986
+0 0 1 0 0 11 24 32 0.0453947473009874
+0 0 1 0 0 12 24 32 0.134200273617742
+0 0 1 0 0 13 24 32 0.217140604013042
+0 0 1 0 0 14 24 32 0.290590848056751
+0 0 1 0 0 15 24 32 0.351340877630784
+0 0 1 0 0 16 24 32 0.39673562493177
+0 0 1 0 0 17 24 32 0.424791121674493
+0 0 1 0 0 18 24 32 0.434281208026084
+0 0 1 0 0 19 24 32 0.424791121674493
+0 0 1 0 0 20 24 32 0.39673562493177
+0 0 1 0 0 21 24 32 0.351340877630784
+0 0 1 0 0 22 24 32 0.290590848056751
+0 0 1 0 0 23 24 32 0.217140604013042
+0 0 1 0 0 24 24 32 0.134200273617742
+0 0 1 0 0 25 24 32 0.0453947473009874
+0 0 1 0 0 26 24 32 -0.045394747300986
+0 0 1 0 0 27 24 32 -0.134200273617741
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.351340877630785
+0 0 0 0 0 2 24 32 -0.424791121674493
+0 0 0 0 0 4 24 32 -0.424791121674492
+0 0 0 0 0 6 24 32 -0.351340877630783
+0 0 0 0 0 8 24 32 -0.217140604013041
+0 0 0 0 0 10 24 32 -0.045394747300986
+0 0 0 0 0 12 24 32 0.134200273617742
+0 0 0 0 0 14 24 32 0.290590848056751
+0 0 0 0 0 16 24 32 0.39673562493177
+0 0 0 0 0 18 24 32 0.434281208026084
+0 0 0 0 0 20 24 32 0.39673562493177
+0 0 0 0 0 22 24 32 0.290590848056751
+0 0 0 0 0 24 24 32 0.134200273617742
+0 0 0 0 0 26 24 32 -0.045394747300986
+0 0 0 0 0 28 24 32 -0.217140604013041
+0 0 0 0 0 30 24 32 -0.351340877630783
+0 0 0 0 0 32 24 32 -0.424791121674492
+0 0 0 0 0 34 24 32 -0.424791121674493
+0 0 0 0 0 36 24 32 -0.351340877630785
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.0655271005248178
+1 0 1 0 0 10 24 32 0.0251548699529308
+1 0 1 0 0 11 24 32 0.115554933383201
+1 0 1 0 0 12 24 32 0.200079272368088
+1 0 1 0 0 13 24 32 0.275859187063621
+1 0 1 0 0 14 24 32 0.33958273156523
+1 0 1 0 0 15 24 32 0.388464881198702
+1 0 1 0 0 16 24 32 0.420369251462477
+1 0 1 0 0 17 24 32 0.433901468281873
+1 0 1 0 0 18 24 32 0.428470108847102
+1 0 1 0 0 19 24 32 0.404312549628018
+1 0 1 0 0 20 24 32 0.362484591883325
+1 0 1 0 0 21 24 32 0.304814318079277
+1 0 1 0 0 22 24 32 0.233822195913786
+1 0 1 0 0 23 24 32 0.152610921783482
+1 0 1 0 0 24 24 32 0.064729818062789
+1 0 1 0 0 25 24 32 -0.0259802893153761
+1 0 1 0 0 26 24 32 -0.114784079645862
+1 0 1 0 0 27 24 32 -0.199254888577804
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.0067368636882607
+2 0 1 0 0 10 24 32 0.0970575786127553
+2 0 1 0 0 11 24 32 0.182691419617382
+2 0 1 0 0 12 24 32 0.260571042573595
+2 0 1 0 0 13 24 32 0.327161478786347
+2 0 1 0 0 14 24 32 0.379439024041274
+2 0 1 0 0 15 24 32 0.415133263195151
+2 0 1 0 0 16 24 32 0.432684186716991
+2 0 1 0 0 17 24 32 0.431324735030215
+2 0 1 0 0 18 24 32 0.411114322696907
+2 0 1 0 0 19 24 32 0.372936241716352
+2 0 1 0 0 20 24 32 0.318459057426157
+2 0 1 0 0 21 24 32 0.250063684190337
+2 0 1 0 0 22 24 32 0.170739328016712
+2 0 1 0 0 23 24 32 0.0839528439105613
+2 0 1 0 0 24 24 32 -0.00648909154336562
+2 0 1 0 0 25 24 32 -0.0966107184904965
+2 0 1 0 0 26 24 32 -0.183131617804134
+2 0 1 0 0 27 24 32 -0.261016192773853
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.415891937557671
+2 0 0 0 0 2 24 32 -0.432015923162627
+2 0 0 0 0 4 24 32 -0.373440430911314
+2 0 0 0 0 6 24 32 -0.250293695555626
+2 0 0 0 0 8 24 32 -0.0838689063915308
+2 0 0 0 0 10 24 32 0.0970575786127553
+2 0 0 0 0 12 24 32 0.260571042573595
+2 0 0 0 0 14 24 32 0.379439024041274
+2 0 0 0 0 16 24 32 0.432684186716991
+2 0 0 0 0 18 24 32 0.411114322696907
+2 0 0 0 0 20 24 32 0.318459057426157
+2 0 0 0 0 22 24 32 0.170739328016712
+2 0 0 0 0 24 24 32 -0.00648909154336562
+2 0 0 0 0 26 24 32 -0.183131617804134
+2 0 0 0 0 28 24 32 -0.327856457689353
+2 0 0 0 0 30 24 32 -0.415891937557671
+2 0 0 0 0 32 24 32 -0.432015923162627
+2 0 0 0 0 34 24 32 -0.373440430911314
+2 0 0 0 0 36 24 32 -0.250293695555626
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.0771461186784727
+3 0 1 0 0 10 24 32 0.164605362121077
+3 0 1 0 0 11 24 32 0.244983780636046
+3 0 1 0 0 12 24 32 0.31402442445534
+3 0 1 0 0 13 24 32 0.369672937924205
+3 0 1 0 0 14 24 32 0.409087313299692
+3 0 1 0 0 15 24 32 0.430627985877667
+3 0 1 0 0 16 24 32 0.433347700201702
+3 0 1 0 0 17 24 32 0.417128040593949
+3 0 1 0 0 18 24 32 0.382677884009827
+3 0 1 0 0 19 24 32 0.331502867602255
+3 0 1 0 0 20 24 32 0.265839585153217
+3 0 1 0 0 21 24 32 0.188557837193124
+3 0 1 0 0 22 24 32 0.103035634783726
+3 0 1 0 0 23 24 32 0.0130135931201852
+3 0 1 0 0 24 24 32 -0.0775221502079092
+3 0 1 0 0 25 24 32 -0.164618184676369
+3 0 1 0 0 26 24 32 -0.244894892163837
+3 0 1 0 0 27 24 32 -0.314259775831049
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.147468779483187
+4 0 1 0 0 10 24 32 0.229700892663699
+4 0 1 0 0 11 24 32 0.300732746082803
+4 0 1 0 0 12 24 32 0.358988649969257
+4 0 1 0 0 13 24 32 0.402257985720142
+4 0 1 0 0 14 24 32 0.427726588564424
+4 0 1 0 0 15 24 32 0.434531163436785
+4 0 1 0 0 16 24 32 0.422339886309233
+4 0 1 0 0 17 24 32 0.391690568829183
+4 0 1 0 0 18 24 32 0.343922479923642
+4 0 1 0 0 19 24 32 0.28112332832228
+4 0 1 0 0 20 24 32 0.206037751663742
+4 0 1 0 0 21 24 32 0.121947507760215
+4 0 1 0 0 22 24 32 0.032531203593674
+4 0 1 0 0 23 24 32 -0.058295554405356
+4 0 1 0 0 24 24 32 -0.146451470290289
+4 0 1 0 0 25 24 32 -0.228218134191667
+4 0 1 0 0 26 24 32 -0.301921392595625
+4 0 1 0 0 27 24 32 -0.360663728378029
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -0.436390709668035
+4 0 0 0 0 2 24 32 -0.393242459943245
+4 0 0 0 0 4 24 32 -0.282099016398671
+4 0 0 0 0 6 24 32 -0.122178090129659
+4 0 0 0 0 8 24 32 0.0588685378758739
+4 0 0 0 0 10 24 32 0.229700892663699
+4 0 0 0 0 12 24 32 0.358988649969257
+4 0 0 0 0 14 24 32 0.427726588564424
+4 0 0 0 0 16 24 32 0.422339886309233
+4 0 0 0 0 18 24 32 0.343922479923642
+4 0 0 0 0 20 24 32 0.206037751663742
+4 0 0 0 0 22 24 32 0.032531203593674
+4 0 0 0 0 24 24 32 -0.146451470290289
+4 0 0 0 0 26 24 32 -0.301921392595625
+4 0 0 0 0 28 24 32 -0.404083041206084
+4 0 0 0 0 30 24 32 -0.436390709668035
+4 0 0 0 0 32 24 32 -0.393242459943245
+4 0 0 0 0 34 24 32 -0.282099016398671
+4 0 0 0 0 36 24 32 -0.122178090129659
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.212244141686261
+5 0 1 0 0 10 24 32 0.287063113150458
+5 0 1 0 0 11 24 32 0.348424006707114
+5 0 1 0 0 12 24 32 0.394254849626787
+5 0 1 0 0 13 24 32 0.424047717070896
+5 0 1 0 0 14 24 32 0.434848185984851
+5 0 1 0 0 15 24 32 0.426736820912669
+5 0 1 0 0 16 24 32 0.3999540926423
+5 0 1 0 0 17 24 32 0.355693450187518
+5 0 1 0 0 18 24 32 0.295887048161633
+5 0 1 0 0 19 24 32 0.223148979477436
+5 0 1 0 0 20 24 32 0.140658429076654
+5 0 1 0 0 21 24 32 0.0520214200343293
+5 0 1 0 0 22 24 32 -0.0388756285145791
+5 0 1 0 0 23 24 32 -0.128053943221017
+5 0 1 0 0 24 24 32 -0.211433673108132
+5 0 1 0 0 25 24 32 -0.285728321752411
+5 0 1 0 0 26 24 32 -0.349528760824923
+5 0 1 0 0 27 24 32 -0.39634969310768
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.273203853098232
+6 0 1 0 0 10 24 32 0.338452375944743
+6 0 1 0 0 11 24 32 0.386742765207455
+6 0 1 0 0 12 24 32 0.418885595860807
+6 0 1 0 0 13 24 32 0.434460840132813
+6 0 1 0 0 14 24 32 0.430250335970447
+6 0 1 0 0 15 24 32 0.407454221406054
+6 0 1 0 0 16 24 32 0.366788741076218
+6 0 1 0 0 17 24 32 0.310101572877442
+6 0 1 0 0 18 24 32 0.239859924880352
+6 0 1 0 0 19 24 32 0.159135427636964
+6 0 1 0 0 20 24 32 0.0714570375060532
+6 0 1 0 0 21 24 32 -0.0193414086642659
+6 0 1 0 0 22 24 32 -0.109260477294765
+6 0 1 0 0 23 24 32 -0.194386280811355
+6 0 1 0 0 24 24 32 -0.270742368979911
+6 0 1 0 0 25 24 32 -0.335662236199065
+6 0 1 0 0 26 24 32 -0.389277782943257
+6 0 1 0 0 27 24 32 -0.422543458803771
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -0.410565567330891
+6 0 0 0 0 2 24 32 -0.31242836501202
+6 0 0 0 0 4 24 32 -0.160269949080453
+6 0 0 0 0 6 24 32 0.0195994917971793
+6 0 0 0 0 8 24 32 0.196055623535485
+6 0 0 0 0 10 24 32 0.338452375944743
+6 0 0 0 0 12 24 32 0.418885595860807
+6 0 0 0 0 14 24 32 0.430250335970447
+6 0 0 0 0 16 24 32 0.366788741076218
+6 0 0 0 0 18 24 32 0.239859924880352
+6 0 0 0 0 20 24 32 0.0714570375060532
+6 0 0 0 0 22 24 32 -0.109260477294765
+6 0 0 0 0 24 24 32 -0.270742368979911
+6 0 0 0 0 26 24 32 -0.389277782943257
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+6 0 0 0 0 30 24 32 -0.410565567330891
+6 0 0 0 0 32 24 32 -0.31242836501202
+6 0 0 0 0 34 24 32 -0.160269949080453
+6 0 0 0 0 36 24 32 0.0195994917971793
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.325464368935162
+7 0 1 0 0 10 24 32 0.379512715255931
+7 0 1 0 0 11 24 32 0.414657266642639
+7 0 1 0 0 12 24 32 0.432244085101923
+7 0 1 0 0 13 24 32 0.433216952310621
+7 0 1 0 0 14 24 32 0.414045511677116
+7 0 1 0 0 15 24 32 0.377202429460594
+7 0 1 0 0 16 24 32 0.323730858209653
+7 0 1 0 0 17 24 32 0.256137836644431
+7 0 1 0 0 18 24 32 0.177344284653389
+7 0 1 0 0 19 24 32 0.0908008883239929
+7 0 1 0 0 20 24 32 0.000292795568621142
+7 0 1 0 0 21 24 32 -0.0902222128743593
+7 0 1 0 0 22 24 32 -0.176726769119859
+7 0 1 0 0 23 24 32 -0.255516149488442
+7 0 1 0 0 24 24 32 -0.322822638150437
+7 0 1 0 0 25 24 32 -0.376701962338033
+7 0 1 0 0 26 24 32 -0.417720222097029
+7 0 1 0 0 27 24 32 -0.43687830085631
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.370567335265269
+8 0 1 0 0 10 24 32 0.411696119680897
+8 0 1 0 0 11 24 32 0.431387982039207
+8 0 1 0 0 12 24 32 0.433997713163954
+8 0 1 0 0 13 24 32 0.420343248558231
+8 0 1 0 0 14 24 32 0.386660413351344
+8 0 1 0 0 15 24 32 0.336796111603585
+8 0 1 0 0 16 24 32 0.271931946149666
+8 0 1 0 0 17 24 32 0.195250538118903
+8 0 1 0 0 18 24 32 0.110017789592695
+8 0 1 0 0 19 24 32 0.0199802048092162
+8 0 1 0 0 20 24 32 -0.070920989631559
+8 0 1 0 0 21 24 32 -0.158714671220646
+8 0 1 0 0 22 24 32 -0.239460041891297
+8 0 1 0 0 23 24 32 -0.30981554050892
+8 0 1 0 0 24 24 32 -0.366315463849669
+8 0 1 0 0 25 24 32 -0.407801613460115
+8 0 1 0 0 26 24 32 -0.436005490570773
+8 0 1 0 0 27 24 32 -0.440058865335931
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.341015490395521
+8 0 0 0 0 2 24 32 -0.197963326621379
+8 0 0 0 0 4 24 32 -0.0206895246249846
+8 0 0 0 0 6 24 32 0.160152282285711
+8 0 0 0 0 8 24 32 0.313180968320112
+8 0 0 0 0 10 24 32 0.411696119680897
+8 0 0 0 0 12 24 32 0.433997713163954
+8 0 0 0 0 14 24 32 0.386660413351344
+8 0 0 0 0 16 24 32 0.271931946149666
+8 0 0 0 0 18 24 32 0.110017789592695
+8 0 0 0 0 20 24 32 -0.070920989631559
+8 0 0 0 0 22 24 32 -0.239460041891297
+8 0 0 0 0 24 24 32 -0.366315463849669
+8 0 0 0 0 26 24 32 -0.436005490570773
+8 0 0 0 0 28 24 32 -0.42500328893717
+8 0 0 0 0 30 24 32 -0.341015490395521
+8 0 0 0 0 32 24 32 -0.197963326621379
+8 0 0 0 0 34 24 32 -0.0206895246249846
+8 0 0 0 0 36 24 32 0.160152282285711
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.40472433295966
+9 0 1 0 0 10 24 32 0.432053209798574
+9 0 1 0 0 11 24 32 0.436501589035664
+9 0 1 0 0 12 24 32 0.424133990965851
+9 0 1 0 0 13 24 32 0.396173925804731
+9 0 1 0 0 14 24 32 0.348827223497969
+9 0 1 0 0 15 24 32 0.287322902859996
+9 0 1 0 0 16 24 32 0.212777082124188
+9 0 1 0 0 17 24 32 0.129074724110136
+9 0 1 0 0 18 24 32 0.0396875154614991
+9 0 1 0 0 19 24 32 -0.0514242987750253
+9 0 1 0 0 20 24 32 -0.140268517609755
+9 0 1 0 0 21 24 32 -0.222977453938369
+9 0 1 0 0 22 24 32 -0.295779632184713
+9 0 1 0 0 23 24 32 -0.355848998411944
+9 0 1 0 0 24 24 32 -0.4001030270749
+9 0 1 0 0 25 24 32 -0.428131406064973
+9 0 1 0 0 26 24 32 -0.442262507732612
+9 0 1 0 0 27 24 32 -0.431460728928029
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.429132057232166
+10 0 1 0 0 10 24 32 0.441567112082651
+10 0 1 0 0 11 24 32 0.429837865282912
+10 0 1 0 0 12 24 32 0.402941073073906
+10 0 1 0 0 13 24 32 0.361342906811839
+10 0 1 0 0 14 24 32 0.301566427778743
+10 0 1 0 0 15 24 32 0.230113139101432
+10 0 1 0 0 16 24 32 0.147848271990149
+10 0 1 0 0 17 24 32 0.0593884728970499
+10 0 1 0 0 18 24 32 -0.0317586497379348
+10 0 1 0 0 19 24 32 -0.121493909724889
+10 0 1 0 0 20 24 32 -0.205883790527638
+10 0 1 0 0 21 24 32 -0.281285496586437
+10 0 1 0 0 22 24 32 -0.344186482124405
+10 0 1 0 0 23 24 32 -0.392410693377731
+10 0 1 0 0 24 24 32 -0.42331540809756
+10 0 1 0 0 25 24 32 -0.437182813324981
+10 0 1 0 0 26 24 32 -0.437114967126505
+10 0 1 0 0 27 24 32 -0.411207306620555
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.234954538137424
+10 0 0 0 0 2 24 32 -0.0617960598986781
+10 0 0 0 0 4 24 32 0.121999929781576
+10 0 0 0 0 6 24 32 0.284668741770483
+10 0 0 0 0 8 24 32 0.397780509173224
+10 0 0 0 0 10 24 32 0.441567112082651
+10 0 0 0 0 12 24 32 0.402941073073906
+10 0 0 0 0 14 24 32 0.301566427778743
+10 0 0 0 0 16 24 32 0.147848271990149
+10 0 0 0 0 18 24 32 -0.0317586497379348
+10 0 0 0 0 20 24 32 -0.205883790527638
+10 0 0 0 0 22 24 32 -0.344186482124405
+10 0 0 0 0 24 24 32 -0.42331540809756
+10 0 0 0 0 26 24 32 -0.437114967126505
+10 0 0 0 0 28 24 32 -0.367141877721348
+10 0 0 0 0 30 24 32 -0.234954538137424
+10 0 0 0 0 32 24 32 -0.0617960598986781
+10 0 0 0 0 34 24 32 0.121999929781576
+10 0 0 0 0 36 24 32 0.284668741770483
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.441507949755574
+11 0 1 0 0 10 24 32 0.439022459161788
+11 0 1 0 0 11 24 32 0.411604017958423
+11 0 1 0 0 12 24 32 0.371012620781785
+11 0 1 0 0 13 24 32 0.316769233292228
+11 0 1 0 0 14 24 32 0.246160050947436
+11 0 1 0 0 15 24 32 0.166702973242801
+11 0 1 0 0 16 24 32 0.0788831235712899
+11 0 1 0 0 17 24 32 -0.0119348167579367
+11 0 1 0 0 18 24 32 -0.102402834773147
+11 0 1 0 0 19 24 32 -0.188345296614589
+11 0 1 0 0 20 24 32 -0.26600225795956
+11 0 1 0 0 21 24 32 -0.332078347314363
+11 0 1 0 0 22 24 32 -0.383403971474112
+11 0 1 0 0 23 24 32 -0.418553675621462
+11 0 1 0 0 24 24 32 -0.43536566363348
+11 0 1 0 0 25 24 32 -0.434691022888321
+11 0 1 0 0 26 24 32 -0.42045431587376
+11 0 1 0 0 27 24 32 -0.380479365877328
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0.442576014719208
+12 0 1 0 0 10 24 32 0.424824373493099
+12 0 1 0 0 11 24 32 0.382269760325642
+12 0 1 0 0 12 24 32 0.329211022464841
+12 0 1 0 0 13 24 32 0.263635230516985
+12 0 1 0 0 14 24 32 0.184116735159756
+12 0 1 0 0 15 24 32 0.0987922789556663
+12 0 1 0 0 16 24 32 0.00772985229823211
+12 0 1 0 0 17 24 32 -0.0829769332431206
+12 0 1 0 0 18 24 32 -0.170348861978894
+12 0 1 0 0 19 24 32 -0.250181637234851
+12 0 1 0 0 20 24 32 -0.319010250383859
+12 0 1 0 0 21 24 32 -0.374003690058464
+12 0 1 0 0 22 24 32 -0.412411300033845
+12 0 1 0 0 23 24 32 -0.433610992882001
+12 0 1 0 0 24 24 32 -0.435941987996386
+12 0 1 0 0 25 24 32 -0.420733987916443
+12 0 1 0 0 26 24 32 -0.392316738267276
+12 0 1 0 0 27 24 32 -0.338809519776045
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.103466134186046
+12 0 0 0 0 2 24 32 0.0818160166257117
+12 0 0 0 0 4 24 32 0.252779621216233
+12 0 0 0 0 6 24 32 0.379970244898187
+12 0 0 0 0 8 24 32 0.440790029744001
+12 0 0 0 0 10 24 32 0.424824373493099
+12 0 0 0 0 12 24 32 0.329211022464841
+12 0 0 0 0 14 24 32 0.184116735159756
+12 0 0 0 0 16 24 32 0.00772985229823211
+12 0 0 0 0 18 24 32 -0.170348861978894
+12 0 0 0 0 20 24 32 -0.319010250383859
+12 0 0 0 0 22 24 32 -0.412411300033845
+12 0 0 0 0 24 24 32 -0.435941987996386
+12 0 0 0 0 26 24 32 -0.392316738267276
+12 0 0 0 0 28 24 32 -0.270010446022178
+12 0 0 0 0 30 24 32 -0.103466134186046
+12 0 0 0 0 32 24 32 0.0818160166257117
+12 0 0 0 0 34 24 32 0.252779621216233
+12 0 0 0 0 36 24 32 0.379970244898187
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.yl
new file mode 100644
index 000000000..8aabb04a9
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.yl
@@ -0,0 +1,622 @@
+# HYDROTOY::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -1.99843460817814e-15
+0 0 1 0 0 18 14 32 0.0618046598853572
+0 0 1 0 0 18 15 32 0.122351155125372
+0 0 1 0 0 18 16 32 0.180406933678629
+0 0 1 0 0 18 17 32 0.234790147312825
+0 0 1 0 0 18 18 32 0.284393710626606
+0 0 1 0 0 18 19 32 0.328207838115765
+0 0 1 0 0 18 20 32 0.365340600494136
+0 0 1 0 0 18 21 32 0.395036081801737
+0 0 1 0 0 18 22 32 0.416689767673843
+0 0 1 0 0 18 23 32 0.429860851510172
+0 0 1 0 0 18 24 32 0.434281208026084
+0 0 1 0 0 18 25 32 0.429860851510172
+0 0 1 0 0 18 26 32 0.416689767673843
+0 0 1 0 0 18 27 32 0.395036081801737
+0 0 1 0 0 18 28 32 0.365340600494136
+0 0 1 0 0 18 29 32 0.328207838115765
+0 0 1 0 0 18 30 32 0.284393710626605
+0 0 1 0 0 18 31 32 0.234790147312825
+0 0 1 0 0 18 32 32 0.180406933678629
+0 0 1 0 0 18 33 32 0.122351155125372
+0 0 1 0 0 18 34 32 0.0618046598853571
+0 0 1 0 0 18 35 32 -2.09486440744066e-15
+0 0 1 0 0 18 36 32 -0.0618046598853614
+0 0 1 0 0 18 37 32 -0.122351155125376
+0 0 1 0 0 18 38 32 -0.180406933678633
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.416689767673842
+0 0 0 0 0 18 2 32 -0.434281208026084
+0 0 0 0 0 18 4 32 -0.416689767673844
+0 0 0 0 0 18 6 32 -0.365340600494138
+0 0 0 0 0 18 8 32 -0.284393710626609
+0 0 0 0 0 18 10 32 -0.180406933678633
+0 0 0 0 0 18 12 32 -0.0618046598853613
+0 0 0 0 0 18 14 32 0.0618046598853572
+0 0 0 0 0 18 16 32 0.180406933678629
+0 0 0 0 0 18 18 32 0.284393710626606
+0 0 0 0 0 18 20 32 0.365340600494136
+0 0 0 0 0 18 22 32 0.416689767673843
+0 0 0 0 0 18 24 32 0.434281208026084
+0 0 0 0 0 18 26 32 0.416689767673843
+0 0 0 0 0 18 28 32 0.365340600494136
+0 0 0 0 0 18 30 32 0.284393710626605
+0 0 0 0 0 18 32 32 0.180406933678629
+0 0 0 0 0 18 34 32 0.0618046598853571
+0 0 0 0 0 18 36 32 -0.0618046598853614
+0 0 0 0 0 18 38 32 -0.180406933678633
+0 0 0 0 0 18 40 32 -0.284393710626609
+0 0 0 0 0 18 42 32 -0.365340600494138
+0 0 0 0 0 18 44 32 -0.416689767673844
+0 0 0 0 0 18 46 32 -0.434281208026084
+0 0 0 0 0 18 48 32 -0.416689767673842
+0 0 0 0 0 18 50 32 -0.365340600494133
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.0703439898524511
+1 0 1 0 0 18 14 32 0.130653574550449
+1 0 1 0 0 18 15 32 0.189567498607748
+1 0 1 0 0 18 16 32 0.24271998099118
+1 0 1 0 0 18 17 32 0.291509860138235
+1 0 1 0 0 18 18 32 0.334365439177894
+1 0 1 0 0 18 19 32 0.370414302106194
+1 0 1 0 0 18 20 32 0.39892259803025
+1 0 1 0 0 18 21 32 0.419309980256186
+1 0 1 0 0 18 22 32 0.431161420474237
+1 0 1 0 0 18 23 32 0.434235657538295
+1 0 1 0 0 18 24 32 0.428470108847102
+1 0 1 0 0 18 25 32 0.413982144345543
+1 0 1 0 0 18 26 32 0.39106669721103
+1 0 1 0 0 18 27 32 0.360190259864528
+1 0 1 0 0 18 28 32 0.32198138753012
+1 0 1 0 0 18 29 32 0.277217902663245
+1 0 1 0 0 18 30 32 0.226811060728563
+1 0 1 0 0 18 31 32 0.171786999666535
+1 0 1 0 0 18 32 32 0.113265850684095
+1 0 1 0 0 18 33 32 0.0524389356134676
+1 0 1 0 0 18 34 32 -0.00945548496484734
+1 0 1 0 0 18 35 32 -0.0711574191366449
+1 0 1 0 0 18 36 32 -0.13061642591382
+1 0 1 0 0 18 37 32 -0.188263370629632
+1 0 1 0 0 18 38 32 -0.242098398209849
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.14084446143139
+2 0 1 0 0 18 14 32 0.198027091420972
+2 0 1 0 0 18 15 32 0.252179375696328
+2 0 1 0 0 18 16 32 0.298437297091646
+2 0 1 0 0 18 17 32 0.340409197119966
+2 0 1 0 0 18 18 32 0.375342390722267
+2 0 1 0 0 18 19 32 0.402652773010971
+2 0 1 0 0 18 20 32 0.421766305995884
+2 0 1 0 0 18 21 32 0.43229389326431
+2 0 1 0 0 18 22 32 0.434021223498518
+2 0 1 0 0 18 23 32 0.42691313323615
+2 0 1 0 0 18 24 32 0.411114322696907
+2 0 1 0 0 18 25 32 0.386946410103362
+2 0 1 0 0 18 26 32 0.354901384461413
+2 0 1 0 0 18 27 32 0.315631590082908
+2 0 1 0 0 18 28 32 0.269936446736659
+2 0 1 0 0 18 29 32 0.218746175767282
+2 0 1 0 0 18 30 32 0.163102863471163
+2 0 1 0 0 18 31 32 0.104139247224589
+2 0 1 0 0 18 32 32 0.0430556562173124
+2 0 1 0 0 18 33 32 -0.0189044237882895
+2 0 1 0 0 18 34 32 -0.080454840255729
+2 0 1 0 0 18 35 32 -0.140320055798339
+2 0 1 0 0 18 36 32 -0.195484673423327
+2 0 1 0 0 18 37 32 -0.251117745439173
+2 0 1 0 0 18 38 32 -0.29917337139087
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -0.434734210686685
+2 0 0 0 0 18 2 32 -0.411725364080886
+2 0 0 0 0 18 4 32 -0.355360977102279
+2 0 0 0 0 18 6 32 -0.270207357171949
+2 0 0 0 0 18 8 32 -0.163163144148577
+2 0 0 0 0 18 10 32 -0.0429004235548697
+2 0 0 0 0 18 12 32 0.0808378342166104
+2 0 0 0 0 18 14 32 0.198027091420972
+2 0 0 0 0 18 16 32 0.298437297091646
+2 0 0 0 0 18 18 32 0.375342390722267
+2 0 0 0 0 18 20 32 0.421766305995884
+2 0 0 0 0 18 22 32 0.434021223498518
+2 0 0 0 0 18 24 32 0.411114322696907
+2 0 0 0 0 18 26 32 0.354901384461413
+2 0 0 0 0 18 28 32 0.269936446736659
+2 0 0 0 0 18 30 32 0.163102863471163
+2 0 0 0 0 18 32 32 0.0430556562173124
+2 0 0 0 0 18 34 32 -0.080454840255729
+2 0 0 0 0 18 36 32 -0.195484673423327
+2 0 0 0 0 18 38 32 -0.29917337139087
+2 0 0 0 0 18 40 32 -0.376082404063224
+2 0 0 0 0 18 42 32 -0.422523477006553
+2 0 0 0 0 18 44 32 -0.434734210686685
+2 0 0 0 0 18 46 32 -0.411725364080886
+2 0 0 0 0 18 48 32 -0.355360977102279
+2 0 0 0 0 18 50 32 -0.270207357171949
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.20591681313808
+3 0 1 0 0 18 14 32 0.258465400073283
+3 0 1 0 0 18 15 32 0.308390677347601
+3 0 1 0 0 18 16 32 0.346120033028418
+3 0 1 0 0 18 17 32 0.380244884370124
+3 0 1 0 0 18 18 32 0.406218698135714
+3 0 1 0 0 18 19 32 0.42405628041623
+3 0 1 0 0 18 20 32 0.433256347709528
+3 0 1 0 0 18 21 32 0.433637130089201
+3 0 1 0 0 18 22 32 0.425190311006477
+3 0 1 0 0 18 23 32 0.408087843339266
+3 0 1 0 0 18 24 32 0.382677884009827
+3 0 1 0 0 18 25 32 0.349477706513837
+3 0 1 0 0 18 26 32 0.309163170723708
+3 0 1 0 0 18 27 32 0.262554964330606
+3 0 1 0 0 18 28 32 0.210601896009727
+3 0 1 0 0 18 29 32 0.154361580411807
+3 0 1 0 0 18 30 32 0.0949789081787405
+3 0 1 0 0 18 31 32 0.0336627392717087
+3 0 1 0 0 18 32 32 -0.0283379301820183
+3 0 1 0 0 18 33 32 -0.0897579332605077
+3 0 1 0 0 18 34 32 -0.149204722256951
+3 0 1 0 0 18 35 32 -0.205692983834552
+3 0 1 0 0 18 36 32 -0.254907497902016
+3 0 1 0 0 18 37 32 -0.303974128314889
+3 0 1 0 0 18 38 32 -0.346696931649922
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.267330569551363
+4 0 1 0 0 18 14 32 0.313788437315263
+4 0 1 0 0 18 15 32 0.356530099036129
+4 0 1 0 0 18 16 32 0.384450359519543
+4 0 1 0 0 18 17 32 0.410001445589277
+4 0 1 0 0 18 18 32 0.426156887559206
+4 0 1 0 0 18 19 32 0.434053784796343
+4 0 1 0 0 18 20 32 0.433081970764409
+4 0 1 0 0 18 21 32 0.423301564794256
+4 0 1 0 0 18 22 32 0.404903756569254
+4 0 1 0 0 18 23 32 0.378263293160189
+4 0 1 0 0 18 24 32 0.343922479923642
+4 0 1 0 0 18 25 32 0.302580396786383
+4 0 1 0 0 18 26 32 0.255078649340362
+4 0 1 0 0 18 27 32 0.202384236179853
+4 0 1 0 0 18 28 32 0.145569863598664
+4 0 1 0 0 18 29 32 0.0857921083834285
+4 0 1 0 0 18 30 32 0.0242678974876901
+4 0 1 0 0 18 31 32 -0.0377501473403739
+4 0 1 0 0 18 32 32 -0.0989908323097921
+4 0 1 0 0 18 33 32 -0.158209696473649
+4 0 1 0 0 18 34 32 -0.213801366144124
+4 0 1 0 0 18 35 32 -0.265389093962865
+4 0 1 0 0 18 36 32 -0.307467375143102
+4 0 1 0 0 18 37 32 -0.351951932533074
+4 0 1 0 0 18 38 32 -0.386314052844263
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -0.406533838434933
+4 0 0 0 0 18 2 32 -0.345214503330214
+4 0 0 0 0 18 4 32 -0.255927942235384
+4 0 0 0 0 18 6 32 -0.145907621322717
+4 0 0 0 0 18 8 32 -0.0240667326765224
+4 0 0 0 0 18 10 32 0.0997238995207541
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+4 0 0 0 0 18 14 32 0.313788437315263
+4 0 0 0 0 18 16 32 0.384450359519543
+4 0 0 0 0 18 18 32 0.426156887559206
+4 0 0 0 0 18 20 32 0.433081970764409
+4 0 0 0 0 18 22 32 0.404903756569254
+4 0 0 0 0 18 24 32 0.343922479923642
+4 0 0 0 0 18 26 32 0.255078649340362
+4 0 0 0 0 18 28 32 0.145569863598664
+4 0 0 0 0 18 30 32 0.0242678974876901
+4 0 0 0 0 18 32 32 -0.0989908323097921
+4 0 0 0 0 18 34 32 -0.213801366144124
+4 0 0 0 0 18 36 32 -0.307467375143102
+4 0 0 0 0 18 38 32 -0.386314052844263
+4 0 0 0 0 18 40 32 -0.427988662799813
+4 0 0 0 0 18 42 32 -0.434918219699489
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+4 0 0 0 0 18 46 32 -0.345214503330214
+4 0 0 0 0 18 48 32 -0.255927942235384
+4 0 0 0 0 18 50 32 -0.145907621322717
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.320085964366158
+5 0 1 0 0 18 14 32 0.3591399188469
+5 0 1 0 0 18 15 32 0.395082623492032
+5 0 1 0 0 18 16 32 0.412478246731018
+5 0 1 0 0 18 17 32 0.428955393871314
+5 0 1 0 0 18 18 32 0.434612976956293
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+5 0 1 0 0 18 20 32 0.421244990360903
+5 0 1 0 0 18 21 32 0.401563000973543
+5 0 1 0 0 18 22 32 0.373704309280024
+5 0 1 0 0 18 23 32 0.338238462498292
+5 0 1 0 0 18 24 32 0.295887048161633
+5 0 1 0 0 18 25 32 0.247512227344215
+5 0 1 0 0 18 26 32 0.194098771343741
+5 0 1 0 0 18 27 32 0.136734024094283
+5 0 1 0 0 18 28 32 0.0765857671789877
+5 0 1 0 0 18 29 32 0.0148784531062942
+5 0 1 0 0 18 30 32 -0.0471312827299673
+5 0 1 0 0 18 31 32 -0.108180698369748
+5 0 1 0 0 18 32 32 -0.166989135567871
+5 0 1 0 0 18 33 32 -0.222406844227
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+5 0 1 0 0 18 35 32 -0.317894711386706
+5 0 1 0 0 18 36 32 -0.35189859955527
+5 0 1 0 0 18 37 32 -0.387260637288678
+5 0 1 0 0 18 38 32 -0.414744227142273
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.365696797080043
+6 0 1 0 0 18 14 32 0.396138606101531
+6 0 1 0 0 18 15 32 0.422943090894316
+6 0 1 0 0 18 16 32 0.429432240268094
+6 0 1 0 0 18 17 32 0.436612984390237
+6 0 1 0 0 18 18 32 0.431353636551423
+6 0 1 0 0 18 19 32 0.419128849802097
+6 0 1 0 0 18 20 32 0.398059506565544
+6 0 1 0 0 18 21 32 0.369004613430039
+6 0 1 0 0 18 22 32 0.33242782995934
+6 0 1 0 0 18 23 32 0.289086415796168
+6 0 1 0 0 18 24 32 0.239859924880352
+6 0 1 0 0 18 25 32 0.185750595367194
+6 0 1 0 0 18 26 32 0.127859919100818
+6 0 1 0 0 18 27 32 0.0673663839761382
+6 0 1 0 0 18 28 32 0.00550148513731612
+6 0 1 0 0 18 29 32 -0.0564753444893559
+6 0 1 0 0 18 30 32 -0.11729960525142
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+6 0 1 0 0 18 32 32 -0.230478944998014
+6 0 1 0 0 18 33 32 -0.280606048084516
+6 0 1 0 0 18 34 32 -0.323588759402206
+6 0 1 0 0 18 35 32 -0.361705611787978
+6 0 1 0 0 18 36 32 -0.387115021875076
+6 0 1 0 0 18 37 32 -0.415651870714699
+6 0 1 0 0 18 38 32 -0.433080957154493
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -0.334930965820826
+6 0 0 0 0 18 2 32 -0.241629337810503
+6 0 0 0 0 18 4 32 -0.128749855045699
+6 0 0 0 0 18 6 32 -0.00543982472995432
+6 0 0 0 0 18 8 32 0.118310189010964
+6 0 0 0 0 18 10 32 0.232486440235383
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+6 0 0 0 0 18 14 32 0.396138606101531
+6 0 0 0 0 18 16 32 0.429432240268094
+6 0 0 0 0 18 18 32 0.431353636551423
+6 0 0 0 0 18 20 32 0.398059506565544
+6 0 0 0 0 18 22 32 0.33242782995934
+6 0 0 0 0 18 24 32 0.239859924880352
+6 0 0 0 0 18 26 32 0.127859919100818
+6 0 0 0 0 18 28 32 0.00550148513731612
+6 0 0 0 0 18 30 32 -0.11729960525142
+6 0 0 0 0 18 32 32 -0.230478944998014
+6 0 0 0 0 18 34 32 -0.323588759402206
+6 0 0 0 0 18 36 32 -0.387115021875076
+6 0 0 0 0 18 38 32 -0.433080957154493
+6 0 0 0 0 18 40 32 -0.434335400381798
+6 0 0 0 0 18 42 32 -0.401087245060013
+6 0 0 0 0 18 44 32 -0.334930965820826
+6 0 0 0 0 18 46 32 -0.241629337810503
+6 0 0 0 0 18 48 32 -0.128749855045699
+6 0 0 0 0 18 50 32 -0.00543982472995432
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.400315364568352
+7 0 1 0 0 18 14 32 0.421256483041386
+7 0 1 0 0 18 15 32 0.439168587810135
+7 0 1 0 0 18 16 32 0.434911570047263
+7 0 1 0 0 18 17 32 0.432769362216331
+7 0 1 0 0 18 18 32 0.416465670865799
+7 0 1 0 0 18 19 32 0.394662999027859
+7 0 1 0 0 18 20 32 0.364143406660115
+7 0 1 0 0 18 21 32 0.326502701653214
+7 0 1 0 0 18 22 32 0.28218079964104
+7 0 1 0 0 18 23 32 0.232125605621825
+7 0 1 0 0 18 24 32 0.177344284653389
+7 0 1 0 0 18 25 32 0.118952908674969
+7 0 1 0 0 18 26 32 0.0581399897113741
+7 0 1 0 0 18 27 32 -0.00385648692967544
+7 0 1 0 0 18 28 32 -0.0657742725394403
+7 0 1 0 0 18 29 32 -0.126352883952262
+7 0 1 0 0 18 30 32 -0.184347968678495
+7 0 1 0 0 18 31 32 -0.238592628090399
+7 0 1 0 0 18 32 32 -0.287720193736453
+7 0 1 0 0 18 33 32 -0.331223980383475
+7 0 1 0 0 18 34 32 -0.365862486984674
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+7 0 1 0 0 18 36 32 -0.412277852514752
+7 0 1 0 0 18 37 32 -0.430385863933768
+7 0 1 0 0 18 38 32 -0.439607317966008
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.425090445925606
+8 0 1 0 0 18 14 32 0.435669555012388
+8 0 1 0 0 18 15 32 0.443336228129676
+8 0 1 0 0 18 16 32 0.428737064647321
+8 0 1 0 0 18 17 32 0.41745854278512
+8 0 1 0 0 18 18 32 0.390354085525833
+8 0 1 0 0 18 19 32 0.359685413071112
+8 0 1 0 0 18 20 32 0.320402310311247
+8 0 1 0 0 18 21 32 0.275204898576193
+8 0 1 0 0 18 22 32 0.224310503006888
+8 0 1 0 0 18 23 32 0.168884709724328
+8 0 1 0 0 18 24 32 0.110017789592695
+8 0 1 0 0 18 25 32 0.0489121003650992
+8 0 1 0 0 18 26 32 -0.0131893344673971
+8 0 1 0 0 18 27 32 -0.0750222434806821
+8 0 1 0 0 18 28 32 -0.135326986584763
+8 0 1 0 0 18 29 32 -0.192876623763123
+8 0 1 0 0 18 30 32 -0.246466351417234
+8 0 1 0 0 18 31 32 -0.295057601082144
+8 0 1 0 0 18 32 32 -0.337139986913799
+8 0 1 0 0 18 33 32 -0.372884279674043
+8 0 1 0 0 18 34 32 -0.398233189311631
+8 0 1 0 0 18 35 32 -0.419203432106721
+8 0 1 0 0 18 36 32 -0.42673184640781
+8 0 1 0 0 18 37 32 -0.436429072866083
+8 0 1 0 0 18 38 32 -0.434895617881788
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.227324031986691
+8 0 0 0 0 18 2 32 -0.111767751151321
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+8 0 0 0 0 18 22 32 0.224310503006888
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+8 0 0 0 0 18 30 32 -0.246466351417234
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+8 0 0 0 0 18 48 32 0.0128683951627269
+8 0 0 0 0 18 50 32 0.136463206023583
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0.437718669969378
+9 0 1 0 0 18 14 32 0.437665882921828
+9 0 1 0 0 18 15 32 0.435209660049868
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+9 0 1 0 0 18 37 32 -0.429281157852681
+9 0 1 0 0 18 38 32 -0.418899016623652
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0.438930604158999
+10 0 1 0 0 18 14 32 0.427816113133942
+10 0 1 0 0 18 15 32 0.415102629162932
+10 0 1 0 0 18 16 32 0.382333195066643
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+10 0 1 0 0 18 29 32 -0.308844899902218
+10 0 1 0 0 18 30 32 -0.34935224351093
+10 0 1 0 0 18 31 32 -0.382906723896929
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+10 0 1 0 0 18 37 32 -0.412462646204866
+10 0 1 0 0 18 38 32 -0.39163312761766
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.0948908760352797
+10 0 0 0 0 18 2 32 0.0307809841557967
+10 0 0 0 0 18 4 32 0.154068747077625
+10 0 0 0 0 18 6 32 0.26487827266502
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+10 0 0 0 0 18 16 32 0.382333195066643
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+10 0 0 0 0 18 20 32 0.20835914460866
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+10 0 0 0 0 18 24 32 -0.0317586497379348
+10 0 0 0 0 18 26 32 -0.153023211471979
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+10 0 0 0 0 18 32 32 -0.407371128338891
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+10 0 0 0 0 18 48 32 0.154068747077625
+10 0 0 0 0 18 50 32 0.26487827266502
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.428158335932262
+11 0 1 0 0 18 14 32 0.406446263197578
+11 0 1 0 0 18 15 32 0.383498275440746
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+11 0 1 0 0 18 37 32 -0.384024546738167
+11 0 1 0 0 18 38 32 -0.354721735543576
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.405693112753016
+12 0 1 0 0 18 14 32 0.373447660596456
+12 0 1 0 0 18 15 32 0.34138362116385
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+12 0 1 0 0 18 37 32 -0.346088845903062
+12 0 1 0 0 18 38 32 -0.307623578841477
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.0485728822575301
+12 0 0 0 0 18 2 32 0.171055008248724
+12 0 0 0 0 18 4 32 0.280000570751382
+12 0 0 0 0 18 6 32 0.366254867833668
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+12 0 0 0 0 18 48 32 0.280000570751382
+12 0 0 0 0 18 50 32 0.366254867833668
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.zl
new file mode 100644
index 000000000..1d289e733
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.zl
@@ -0,0 +1,782 @@
+# HYDROTOY::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -0.434281208026084
+0 0 1 0 0 18 24 18 -0.424791121674492
+0 0 1 0 0 18 24 19 -0.39673562493177
+0 0 1 0 0 18 24 20 -0.351340877630783
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+0 0 1 0 0 18 24 22 -0.217140604013041
+0 0 1 0 0 18 24 23 -0.134200273617741
+0 0 1 0 0 18 24 24 -0.0453947473009859
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+0 0 1 0 0 18 24 26 0.134200273617742
+0 0 1 0 0 18 24 27 0.217140604013042
+0 0 1 0 0 18 24 28 0.290590848056751
+0 0 1 0 0 18 24 29 0.351340877630784
+0 0 1 0 0 18 24 30 0.39673562493177
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+0 0 1 0 0 18 24 32 0.434281208026084
+0 0 1 0 0 18 24 33 0.424791121674493
+0 0 1 0 0 18 24 34 0.39673562493177
+0 0 1 0 0 18 24 35 0.351340877630784
+0 0 1 0 0 18 24 36 0.290590848056751
+0 0 1 0 0 18 24 37 0.217140604013042
+0 0 1 0 0 18 24 38 0.134200273617742
+0 0 1 0 0 18 24 39 0.0453947473009874
+0 0 1 0 0 18 24 40 -0.045394747300986
+0 0 1 0 0 18 24 41 -0.134200273617741
+0 0 1 0 0 18 24 42 -0.217140604013041
+0 0 1 0 0 18 24 43 -0.29059084805675
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+0 0 1 0 0 18 24 47 -0.434281208026084
+0 0 1 0 0 18 24 48 -0.424791121674493
+0 0 1 0 0 18 24 49 -0.396735624931771
+0 0 1 0 0 18 24 50 -0.351340877630785
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.396735624931772
+0 0 0 0 0 18 24 2 0.434281208026084
+0 0 0 0 0 18 24 4 0.396735624931769
+0 0 0 0 0 18 24 6 0.290590848056749
+0 0 0 0 0 18 24 8 0.134200273617739
+0 0 0 0 0 18 24 10 -0.0453947473009889
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+0 0 0 0 0 18 24 32 0.434281208026084
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+0 0 0 0 0 18 24 36 0.290590848056751
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+0 0 0 0 0 18 24 50 -0.351340877630785
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+0 0 0 0 0 18 24 56 0.134200273617739
+0 0 0 0 0 18 24 58 0.290590848056749
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+0 0 0 0 0 18 24 62 0.434281208026084
+0 0 0 0 0 18 24 64 0.396735624931772
+0 0 0 0 0 18 24 66 0.290590848056754
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.428426257976849
+1 0 1 0 0 18 24 18 -0.40473471039475
+1 0 1 0 0 18 24 19 -0.362484591883325
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+1 0 1 0 0 18 24 30 0.420369251462477
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+1 0 1 0 0 18 24 32 0.428470108847102
+1 0 1 0 0 18 24 33 0.404312549628018
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+1 0 1 0 0 18 24 36 0.233822195913786
+1 0 1 0 0 18 24 37 0.152610921783482
+1 0 1 0 0 18 24 38 0.0647298180627892
+1 0 1 0 0 18 24 39 -0.0259802893153762
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+1 0 1 0 0 18 24 49 -0.36279129967605
+1 0 1 0 0 18 24 50 -0.305497195362384
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.411432597097011
+2 0 1 0 0 18 24 18 -0.373440430911314
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+2 0 1 0 0 18 24 49 -0.318607644290521
+2 0 1 0 0 18 24 50 -0.250293695555629
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 0.433425313359762
+2 0 0 0 0 18 24 2 0.411725364080886
+2 0 0 0 0 18 24 4 0.318834358944915
+2 0 0 0 0 18 24 6 0.17081399662815
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+2 0 0 0 0 18 24 64 0.318834358944915
+2 0 0 0 0 18 24 66 0.17081399662815
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.38370528771977
+3 0 1 0 0 18 24 18 -0.332765198746708
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+3 0 1 0 0 18 24 49 -0.266625098298104
+3 0 1 0 0 18 24 50 -0.189613039192801
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.34497838292978
+4 0 1 0 0 18 24 18 -0.282090042060091
+4 0 1 0 0 18 24 19 -0.205707553646603
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+4 0 1 0 0 18 24 50 -0.122161005946473
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 0.424083834070079
+4 0 0 0 0 18 24 2 0.345214503330213
+4 0 0 0 0 18 24 4 0.206654448789242
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+4 0 0 0 0 18 24 56 0.360880497287356
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+4 0 0 0 0 18 24 64 0.206654448789242
+4 0 0 0 0 18 24 66 0.0323619626558851
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -0.297835430850524
+5 0 1 0 0 18 24 18 -0.224986563670818
+5 0 1 0 0 18 24 19 -0.140089005210941
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+5 0 1 0 0 18 24 50 -0.0529361647451661
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.241434864753629
+6 0 1 0 0 18 24 18 -0.16026422930577
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+6 0 1 0 0 18 24 50 0.0197276740539611
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 0.369572773464889
+6 0 0 0 0 18 24 2 0.2416293378105
+6 0 0 0 0 18 24 4 0.0719059945150494
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -0.179799555176589
+7 0 1 0 0 18 24 18 -0.0927358208148487
+7 0 1 0 0 18 24 19 0.000918013358135801
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+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -0.111642209575197
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+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 0.275507386750357
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.0420118327899738
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.0306995628126665
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+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+10 0 0 0 0 18 24 64 -0.207910640418311
+10 0 0 0 0 18 24 66 -0.349094732150387
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.100944489603337
+11 0 1 0 0 18 24 18 0.188103487855299
+11 0 1 0 0 18 24 19 0.268671171153744
+11 0 1 0 0 18 24 20 0.329838034097623
+11 0 1 0 0 18 24 21 0.384884520393959
+11 0 1 0 0 18 24 22 0.417849378691195
+11 0 1 0 0 18 24 23 0.435340342403575
+11 0 1 0 0 18 24 24 0.432504874748119
+11 0 1 0 0 18 24 25 0.411229558975377
+11 0 1 0 0 18 24 26 0.371818668815861
+11 0 1 0 0 18 24 27 0.316197974225357
+11 0 1 0 0 18 24 28 0.246746438904833
+11 0 1 0 0 18 24 29 0.16651332813153
+11 0 1 0 0 18 24 30 0.0790020370289667
+11 0 1 0 0 18 24 31 -0.0119618633059219
+11 0 1 0 0 18 24 32 -0.102402834773147
+11 0 1 0 0 18 24 33 -0.188368707617125
+11 0 1 0 0 18 24 34 -0.266101332483932
+11 0 1 0 0 18 24 35 -0.332204890714462
+11 0 1 0 0 18 24 36 -0.383788493080079
+11 0 1 0 0 18 24 37 -0.418599838877244
+11 0 1 0 0 18 24 38 -0.435115179463815
+11 0 1 0 0 18 24 39 -0.432615472804281
+11 0 1 0 0 18 24 40 -0.411207957614443
+11 0 1 0 0 18 24 41 -0.371837672276706
+11 0 1 0 0 18 24 42 -0.316225207189004
+11 0 1 0 0 18 24 43 -0.246885360057022
+11 0 1 0 0 18 24 44 -0.166794510521789
+11 0 1 0 0 18 24 45 -0.0799136207880259
+11 0 1 0 0 18 24 46 0.0106342325966569
+11 0 1 0 0 18 24 47 0.0996778648733073
+11 0 1 0 0 18 24 48 0.185725313899081
+11 0 1 0 0 18 24 49 0.266709104174895
+11 0 1 0 0 18 24 50 0.337392016313755
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.170491329557764
+12 0 1 0 0 18 24 18 0.251607463542072
+12 0 1 0 0 18 24 19 0.322007962905353
+12 0 1 0 0 18 24 20 0.37146886958297
+12 0 1 0 0 18 24 21 0.414200432262054
+12 0 1 0 0 18 24 22 0.432336043099699
+12 0 1 0 0 18 24 23 0.435404461653004
+12 0 1 0 0 18 24 24 0.417492549455822
+12 0 1 0 0 18 24 25 0.38212203368235
+12 0 1 0 0 18 24 26 0.329745256946599
+12 0 1 0 0 18 24 27 0.263044476340479
+12 0 1 0 0 18 24 28 0.184819903455776
+12 0 1 0 0 18 24 29 0.0985243425303935
+12 0 1 0 0 18 24 30 0.00792075877299325
+12 0 1 0 0 18 24 31 -0.0830286204995291
+12 0 1 0 0 18 24 32 -0.170348861978894
+12 0 1 0 0 18 24 33 -0.250225065361966
+12 0 1 0 0 18 24 34 -0.319163643847784
+12 0 1 0 0 18 24 35 -0.374155321280413
+12 0 1 0 0 18 24 36 -0.41279213600075
+12 0 1 0 0 18 24 37 -0.433390759297794
+12 0 1 0 0 18 24 38 -0.435045269258648
+12 0 1 0 0 18 24 39 -0.417690191016704
+12 0 1 0 0 18 24 40 -0.382078893489807
+12 0 1 0 0 18 24 41 -0.329788679260115
+12 0 1 0 0 18 24 42 -0.263098473200439
+12 0 1 0 0 18 24 43 -0.185064559979213
+12 0 1 0 0 18 24 44 -0.0989683830179611
+12 0 1 0 0 18 24 45 -0.00918424672675068
+12 0 1 0 0 18 24 46 0.0813671416066964
+12 0 1 0 0 18 24 47 0.16734154911019
+12 0 1 0 0 18 24 48 0.247664114122293
+12 0 1 0 0 18 24 49 0.321740576796496
+12 0 1 0 0 18 24 50 0.38185012499154
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 0.0110331633664226
+12 0 0 0 0 18 24 2 -0.171045926354511
+12 0 0 0 0 18 24 4 -0.323549724262519
+12 0 0 0 0 18 24 6 -0.420108814412136
+12 0 0 0 0 18 24 8 -0.44402729824837
+12 0 0 0 0 18 24 10 -0.391169224762195
+12 0 0 0 0 18 24 12 -0.27068286030206
+12 0 0 0 0 18 24 14 -0.103408474256252
+12 0 0 0 0 18 24 16 0.0813522081945274
+12 0 0 0 0 18 24 18 0.251607463542072
+12 0 0 0 0 18 24 20 0.37146886958297
+12 0 0 0 0 18 24 22 0.432336043099699
+12 0 0 0 0 18 24 24 0.417492549455822
+12 0 0 0 0 18 24 26 0.329745256946599
+12 0 0 0 0 18 24 28 0.184819903455776
+12 0 0 0 0 18 24 30 0.00792075877299325
+12 0 0 0 0 18 24 32 -0.170348861978894
+12 0 0 0 0 18 24 34 -0.319163643847784
+12 0 0 0 0 18 24 36 -0.41279213600075
+12 0 0 0 0 18 24 38 -0.435045269258648
+12 0 0 0 0 18 24 40 -0.382078893489807
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+12 0 0 0 0 18 24 44 -0.0989683830179611
+12 0 0 0 0 18 24 46 0.0813671416066964
+12 0 0 0 0 18 24 48 0.247664114122293
+12 0 0 0 0 18 24 50 0.38185012499154
+12 0 0 0 0 18 24 52 0.441307853438172
+12 0 0 0 0 18 24 54 0.427042828832872
+12 0 0 0 0 18 24 56 0.338304334447483
+12 0 0 0 0 18 24 58 0.191207115886878
+12 0 0 0 0 18 24 60 0.0110331633664226
+12 0 0 0 0 18 24 62 -0.171045926354511
+12 0 0 0 0 18 24 64 -0.323549724262519
+12 0 0 0 0 18 24 66 -0.420108814412136
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.xl
new file mode 100644
index 000000000..6921752ec
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.xl
@@ -0,0 +1,482 @@
+# HYDROTOY::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.196827067972686
+0 0 1 0 0 10 24 32 -0.0665789627081124
+0 0 1 0 0 11 24 32 0.0665789627081145
+0 0 1 0 0 12 24 32 0.196827067972688
+0 0 1 0 0 13 24 32 0.318472885885794
+0 0 1 0 0 14 24 32 0.426199910483233
+0 0 1 0 0 15 24 32 0.515299953858481
+0 0 1 0 0 16 24 32 0.581878916566594
+0 0 1 0 0 17 24 32 0.62302697845592
+0 0 1 0 0 18 24 32 0.636945771771587
+0 0 1 0 0 19 24 32 0.62302697845592
+0 0 1 0 0 20 24 32 0.581878916566594
+0 0 1 0 0 21 24 32 0.515299953858481
+0 0 1 0 0 22 24 32 0.426199910483233
+0 0 1 0 0 23 24 32 0.318472885885794
+0 0 1 0 0 24 24 32 0.196827067972688
+0 0 1 0 0 25 24 32 0.0665789627081145
+0 0 1 0 0 26 24 32 -0.0665789627081126
+0 0 1 0 0 27 24 32 -0.196827067972686
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.515299953858482
+0 0 0 0 0 2 24 32 -0.62302697845592
+0 0 0 0 0 4 24 32 -0.62302697845592
+0 0 0 0 0 6 24 32 -0.51529995385848
+0 0 0 0 0 8 24 32 -0.318472885885792
+0 0 0 0 0 10 24 32 -0.0665789627081124
+0 0 0 0 0 12 24 32 0.196827067972688
+0 0 0 0 0 14 24 32 0.426199910483233
+0 0 0 0 0 16 24 32 0.581878916566594
+0 0 0 0 0 18 24 32 0.636945771771587
+0 0 0 0 0 20 24 32 0.581878916566594
+0 0 0 0 0 22 24 32 0.426199910483233
+0 0 0 0 0 24 24 32 0.196827067972688
+0 0 0 0 0 26 24 32 -0.0665789627081126
+0 0 0 0 0 28 24 32 -0.318472885885792
+0 0 0 0 0 30 24 32 -0.51529995385848
+0 0 0 0 0 32 24 32 -0.62302697845592
+0 0 0 0 0 34 24 32 -0.62302697845592
+0 0 0 0 0 36 24 32 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.0973195350500494
+1 0 1 0 0 10 24 32 0.0356668155049764
+1 0 1 0 0 11 24 32 0.169077922714169
+1 0 1 0 0 12 24 32 0.293071522772708
+1 0 1 0 0 13 24 32 0.404256490972886
+1 0 1 0 0 14 24 32 0.497773510679683
+1 0 1 0 0 15 24 32 0.569535439387465
+1 0 1 0 0 16 24 32 0.616405936459762
+1 0 1 0 0 17 24 32 0.636336536264916
+1 0 1 0 0 18 24 32 0.628456175953815
+1 0 1 0 0 19 24 32 0.593109265086217
+1 0 1 0 0 20 24 32 0.531840633280333
+1 0 1 0 0 21 24 32 0.447328013745593
+1 0 1 0 0 22 24 32 0.343265013492209
+1 0 1 0 0 23 24 32 0.22419968498093
+1 0 1 0 0 24 24 32 0.0953357544065353
+1 0 1 0 0 25 24 32 -0.0376948061071308
+1 0 1 0 0 26 24 32 -0.167163605655932
+1 0 1 0 0 27 24 32 -0.291147369612687
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.00664574421749242
+2 0 1 0 0 10 24 32 0.139079131940516
+2 0 1 0 0 11 24 32 0.267168672263801
+2 0 1 0 0 12 24 32 0.381444723732171
+2 0 1 0 0 13 24 32 0.479205430551592
+2 0 1 0 0 14 24 32 0.556000672787044
+2 0 1 0 0 15 24 32 0.608496017634465
+2 0 1 0 0 16 24 32 0.634397166623412
+2 0 1 0 0 17 24 32 0.632572115255564
+2 0 1 0 0 18 24 32 0.603100627033265
+2 0 1 0 0 19 24 32 0.54727074741172
+2 0 1 0 0 20 24 32 0.467522510031876
+2 0 1 0 0 21 24 32 0.367341295541732
+2 0 1 0 0 22 24 32 0.251105503737309
+2 0 1 0 0 23 24 32 0.123895196481674
+2 0 1 0 0 24 24 32 -0.00870905206088087
+2 0 1 0 0 25 24 32 -0.140871868994753
+2 0 1 0 0 26 24 32 -0.265429365246958
+2 0 1 0 0 27 24 32 -0.379908726375628
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.608492170320791
+2 0 0 0 0 2 24 32 -0.633457407715208
+2 0 0 0 0 4 24 32 -0.548892104535778
+2 0 0 0 0 6 24 32 -0.369418369953888
+2 0 0 0 0 8 24 32 -0.126068843146438
+2 0 0 0 0 10 24 32 0.139079131940516
+2 0 0 0 0 12 24 32 0.381444723732171
+2 0 0 0 0 14 24 32 0.556000672787044
+2 0 0 0 0 16 24 32 0.634397166623412
+2 0 0 0 0 18 24 32 0.603100627033265
+2 0 0 0 0 20 24 32 0.467522510031876
+2 0 0 0 0 22 24 32 0.251105503737309
+2 0 0 0 0 24 24 32 -0.00870905206088087
+2 0 0 0 0 26 24 32 -0.265429365246958
+2 0 0 0 0 28 24 32 -0.478313108700085
+2 0 0 0 0 30 24 32 -0.608492170320791
+2 0 0 0 0 32 24 32 -0.633457407715208
+2 0 0 0 0 34 24 32 -0.548892104535778
+2 0 0 0 0 36 24 32 -0.369418369953888
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.108142390498424
+3 0 1 0 0 10 24 32 0.236597711331569
+3 0 1 0 0 11 24 32 0.358190960248211
+3 0 1 0 0 12 24 32 0.459530017170409
+3 0 1 0 0 13 24 32 0.5413120302937
+3 0 1 0 0 14 24 32 0.59931465192782
+3 0 1 0 0 15 24 32 0.631132687364488
+3 0 1 0 0 16 24 32 0.635366511859372
+3 0 1 0 0 17 24 32 0.611831770959215
+3 0 1 0 0 18 24 32 0.561557045773571
+3 0 1 0 0 19 24 32 0.48673958303795
+3 0 1 0 0 20 24 32 0.390649264887917
+3 0 1 0 0 21 24 32 0.277485699319131
+3 0 1 0 0 22 24 32 0.15219532945706
+3 0 1 0 0 23 24 32 0.0202584958936478
+3 0 1 0 0 24 24 32 -0.112477222631687
+3 0 1 0 0 25 24 32 -0.240209113822161
+3 0 1 0 0 26 24 32 -0.354596862110213
+3 0 1 0 0 27 24 32 -0.456605982742896
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.209684057502675
+4 0 1 0 0 10 24 32 0.330575978767116
+4 0 1 0 0 11 24 32 0.43966045342348
+4 0 1 0 0 12 24 32 0.525205223871432
+4 0 1 0 0 13 24 32 0.588918368865689
+4 0 1 0 0 14 24 32 0.626544895460191
+4 0 1 0 0 15 24 32 0.636834965580551
+4 0 1 0 0 16 24 32 0.619284890633007
+4 0 1 0 0 17 24 32 0.574669463578549
+4 0 1 0 0 18 24 32 0.504938202020884
+4 0 1 0 0 19 24 32 0.41313871807259
+4 0 1 0 0 20 24 32 0.303283110069099
+4 0 1 0 0 21 24 32 0.180172840619504
+4 0 1 0 0 22 24 32 0.0491938283669557
+4 0 1 0 0 23 24 32 -0.083917154077511
+4 0 1 0 0 24 24 32 -0.213164422324827
+4 0 1 0 0 25 24 32 -0.33310147099143
+4 0 1 0 0 26 24 32 -0.436925889369356
+4 0 1 0 0 27 24 32 -0.523618193410413
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -0.638086200378305
+4 0 0 0 0 2 24 32 -0.577480248216561
+4 0 0 0 0 4 24 32 -0.417022714894814
+4 0 0 0 0 6 24 32 -0.184458165635327
+4 0 0 0 0 8 24 32 0.0800008762123353
+4 0 0 0 0 10 24 32 0.330575978767116
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+4 0 0 0 0 14 24 32 0.626544895460191
+4 0 0 0 0 16 24 32 0.619284890633007
+4 0 0 0 0 18 24 32 0.504938202020884
+4 0 0 0 0 20 24 32 0.303283110069099
+4 0 0 0 0 22 24 32 0.0491938283669557
+4 0 0 0 0 24 24 32 -0.213164422324827
+4 0 0 0 0 26 24 32 -0.436925889369356
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+4 0 0 0 0 30 24 32 -0.638086200378305
+4 0 0 0 0 32 24 32 -0.577480248216561
+4 0 0 0 0 34 24 32 -0.417022714894814
+4 0 0 0 0 36 24 32 -0.184458165635327
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.303082309664818
+5 0 1 0 0 10 24 32 0.413389684295974
+5 0 1 0 0 11 24 32 0.509362344146697
+5 0 1 0 0 12 24 32 0.576702925630077
+5 0 1 0 0 13 24 32 0.620756348793825
+5 0 1 0 0 14 24 32 0.63694747149022
+5 0 1 0 0 15 24 32 0.625448133863364
+5 0 1 0 0 16 24 32 0.586580844285547
+5 0 1 0 0 17 24 32 0.522080276166261
+5 0 1 0 0 18 24 32 0.434761908683474
+5 0 1 0 0 19 24 32 0.328442386037718
+5 0 1 0 0 20 24 32 0.207768665381023
+5 0 1 0 0 21 24 32 0.0780160153709451
+5 0 1 0 0 22 24 32 -0.055124895137974
+5 0 1 0 0 23 24 32 -0.185824599168025
+5 0 1 0 0 24 24 32 -0.308076575103733
+5 0 1 0 0 25 24 32 -0.417093942832209
+5 0 1 0 0 26 24 32 -0.505656537173603
+5 0 1 0 0 27 24 32 -0.57496975103022
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.391102792978988
+6 0 1 0 0 10 24 32 0.487580244568536
+6 0 1 0 0 11 24 32 0.565372932792225
+6 0 1 0 0 12 24 32 0.612653871445795
+6 0 1 0 0 13 24 32 0.635977938179441
+6 0 1 0 0 14 24 32 0.630226338628326
+6 0 1 0 0 15 24 32 0.597278172529115
+6 0 1 0 0 16 24 32 0.538128541140548
+6 0 1 0 0 17 24 32 0.455473847574355
+6 0 1 0 0 18 24 32 0.352910332080566
+6 0 1 0 0 19 24 32 0.234923222872477
+6 0 1 0 0 20 24 32 0.10667055271291
+6 0 1 0 0 21 24 32 -0.0262394173409586
+6 0 1 0 0 22 24 32 -0.157948266019095
+6 0 1 0 0 23 24 32 -0.282723110589259
+6 0 1 0 0 24 24 32 -0.394692117220674
+6 0 1 0 0 25 24 32 -0.490017729548046
+6 0 1 0 0 26 24 32 -0.563042108806548
+6 0 1 0 0 27 24 32 -0.612804318655308
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -0.600802501898698
+6 0 0 0 0 2 24 32 -0.460809125595699
+6 0 0 0 0 4 24 32 -0.241138371155451
+6 0 0 0 0 6 24 32 0.0202258026743178
+6 0 0 0 0 8 24 32 0.278057555639513
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+6 0 0 0 0 12 24 32 0.612653871445795
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+6 0 0 0 0 18 24 32 0.352910332080566
+6 0 0 0 0 20 24 32 0.10667055271291
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+6 0 0 0 0 26 24 32 -0.563042108806548
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+6 0 0 0 0 32 24 32 -0.460809125595699
+6 0 0 0 0 34 24 32 -0.241138371155451
+6 0 0 0 0 36 24 32 0.0202258026743178
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.466482568395671
+7 0 1 0 0 10 24 32 0.546858922731238
+7 0 1 0 0 11 24 32 0.606181949952299
+7 0 1 0 0 12 24 32 0.632129566522523
+7 0 1 0 0 13 24 32 0.634174208081466
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+7 0 1 0 0 15 24 32 0.553083859680135
+7 0 1 0 0 16 24 32 0.475223644441572
+7 0 1 0 0 17 24 32 0.376636775120934
+7 0 1 0 0 18 24 32 0.261579505479243
+7 0 1 0 0 19 24 32 0.135091451268939
+7 0 1 0 0 20 24 32 0.00270517132817995
+7 0 1 0 0 21 24 32 -0.129789829150419
+7 0 1 0 0 22 24 32 -0.256504107970036
+7 0 1 0 0 23 24 32 -0.372016882167676
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+7 0 1 0 0 25 24 32 -0.549950294132442
+7 0 1 0 0 26 24 32 -0.604104412882454
+7 0 1 0 0 27 24 32 -0.633352617747386
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.531605213014809
+8 0 1 0 0 10 24 32 0.593321964401933
+8 0 1 0 0 11 24 32 0.630647867942192
+8 0 1 0 0 12 24 32 0.634647178434357
+8 0 1 0 0 13 24 32 0.61538482488865
+8 0 1 0 0 14 24 32 0.566523104221862
+8 0 1 0 0 15 24 32 0.494055997199531
+8 0 1 0 0 16 24 32 0.399547983291237
+8 0 1 0 0 17 24 32 0.287684996142527
+8 0 1 0 0 18 24 32 0.163220390236194
+8 0 1 0 0 19 24 32 0.0316277526597565
+8 0 1 0 0 20 24 32 -0.10133183289413
+8 0 1 0 0 21 24 32 -0.229849552269945
+8 0 1 0 0 22 24 32 -0.348140258182714
+8 0 1 0 0 23 24 32 -0.451327597204151
+8 0 1 0 0 24 24 32 -0.53424244760498
+8 0 1 0 0 25 24 32 -0.595366082536821
+8 0 1 0 0 26 24 32 -0.630502846529901
+8 0 1 0 0 27 24 32 -0.637960746208245
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.500393216101181
+8 0 0 0 0 2 24 32 -0.295556213449106
+8 0 0 0 0 4 24 32 -0.0396264340240035
+8 0 0 0 0 6 24 32 0.223141542406939
+8 0 0 0 0 8 24 32 0.447151139864875
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+8 0 0 0 0 18 24 32 0.163220390236194
+8 0 0 0 0 20 24 32 -0.10133183289413
+8 0 0 0 0 22 24 32 -0.348140258182714
+8 0 0 0 0 24 24 32 -0.53424244760498
+8 0 0 0 0 26 24 32 -0.630502846529901
+8 0 0 0 0 28 24 32 -0.618563756831048
+8 0 0 0 0 30 24 32 -0.500393216101181
+8 0 0 0 0 32 24 32 -0.295556213449106
+8 0 0 0 0 34 24 32 -0.0396264340240035
+8 0 0 0 0 36 24 32 0.223141542406939
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.580904793254439
+9 0 1 0 0 10 24 32 0.622710754030206
+9 0 1 0 0 11 24 32 0.638135278818578
+9 0 1 0 0 12 24 32 0.620192205514737
+9 0 1 0 0 13 24 32 0.580096956183032
+9 0 1 0 0 14 24 32 0.511231359810404
+9 0 1 0 0 15 24 32 0.421784210634129
+9 0 1 0 0 16 24 32 0.313124346438357
+9 0 1 0 0 17 24 32 0.191007364748957
+9 0 1 0 0 18 24 32 0.0604730478656601
+9 0 1 0 0 19 24 32 -0.072688449342991
+9 0 1 0 0 20 24 32 -0.202640847341122
+9 0 1 0 0 21 24 32 -0.323727646238973
+9 0 1 0 0 22 24 32 -0.430400363491228
+9 0 1 0 0 23 24 32 -0.518558914204221
+9 0 1 0 0 24 24 32 -0.583565649417711
+9 0 1 0 0 25 24 32 -0.625054546771263
+9 0 1 0 0 26 24 32 -0.639536480246274
+9 0 1 0 0 27 24 32 -0.625437314256492
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.616142890811681
+10 0 1 0 0 10 24 32 0.636444830132863
+10 0 1 0 0 11 24 32 0.628408102604202
+10 0 1 0 0 12 24 32 0.589189311701501
+10 0 1 0 0 13 24 32 0.529234501037334
+10 0 1 0 0 14 24 32 0.442159324812253
+10 0 1 0 0 15 24 32 0.338212473416978
+10 0 1 0 0 16 24 32 0.218262912911995
+10 0 1 0 0 17 24 32 0.0892018078026405
+10 0 1 0 0 18 24 32 -0.0439043350060397
+10 0 1 0 0 19 24 32 -0.175053515494255
+10 0 1 0 0 20 24 32 -0.298494613742868
+10 0 1 0 0 21 24 32 -0.408902797813916
+10 0 1 0 0 22 24 32 -0.501093897650748
+10 0 1 0 0 23 24 32 -0.571950360605817
+10 0 1 0 0 24 24 32 -0.617443675536819
+10 0 1 0 0 25 24 32 -0.638273374272176
+10 0 1 0 0 26 24 32 -0.632105623865777
+10 0 1 0 0 27 24 32 -0.596210120325425
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.347273268709351
+10 0 0 0 0 2 24 32 -0.0989718437765133
+10 0 0 0 0 4 24 32 0.166374002117897
+10 0 0 0 0 6 24 32 0.4029056585467
+10 0 0 0 0 8 24 32 0.569287163761568
+10 0 0 0 0 10 24 32 0.636444830132863
+10 0 0 0 0 12 24 32 0.589189311701501
+10 0 0 0 0 14 24 32 0.442159324812253
+10 0 0 0 0 16 24 32 0.218262912911995
+10 0 0 0 0 18 24 32 -0.0439043350060397
+10 0 0 0 0 20 24 32 -0.298494613742868
+10 0 0 0 0 22 24 32 -0.501093897650748
+10 0 0 0 0 24 24 32 -0.617443675536819
+10 0 0 0 0 26 24 32 -0.632105623865777
+10 0 0 0 0 28 24 32 -0.535029309203674
+10 0 0 0 0 30 24 32 -0.347273268709351
+10 0 0 0 0 32 24 32 -0.0989718437765133
+10 0 0 0 0 34 24 32 0.166374002117897
+10 0 0 0 0 36 24 32 0.4029056585467
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.634050914486693
+11 0 1 0 0 10 24 32 0.632766824918312
+11 0 1 0 0 11 24 32 0.601766991565833
+11 0 1 0 0 12 24 32 0.542508633056707
+11 0 1 0 0 13 24 32 0.464136672731424
+11 0 1 0 0 14 24 32 0.361180041079272
+11 0 1 0 0 15 24 32 0.245584849025748
+11 0 1 0 0 16 24 32 0.117500879347642
+11 0 1 0 0 17 24 32 -0.0149943956941395
+11 0 1 0 0 18 24 32 -0.147109688782648
+11 0 1 0 0 19 24 32 -0.272715104462493
+11 0 1 0 0 20 24 32 -0.386313649383673
+11 0 1 0 0 21 24 32 -0.483093923207431
+11 0 1 0 0 22 24 32 -0.55835580605858
+11 0 1 0 0 23 24 32 -0.610119553861644
+11 0 1 0 0 24 24 32 -0.635021560425915
+11 0 1 0 0 25 24 32 -0.634634824413432
+11 0 1 0 0 26 24 32 -0.608055347920242
+11 0 1 0 0 27 24 32 -0.551785467064353
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0.635583925480137
+12 0 1 0 0 10 24 32 0.612262527650417
+12 0 1 0 0 11 24 32 0.55889552164607
+12 0 1 0 0 12 24 32 0.481411404512508
+12 0 1 0 0 13 24 32 0.386526055581626
+12 0 1 0 0 14 24 32 0.270498093765112
+12 0 1 0 0 15 24 32 0.146383539032139
+12 0 1 0 0 16 24 32 0.0135367498575325
+12 0 1 0 0 17 24 32 -0.118778508008737
+12 0 1 0 0 18 24 32 -0.246372589803212
+12 0 1 0 0 19 24 32 -0.363046805304548
+12 0 1 0 0 20 24 32 -0.463738538446569
+12 0 1 0 0 21 24 32 -0.544323712658958
+12 0 1 0 0 22 24 32 -0.600695090266839
+12 0 1 0 0 23 24 32 -0.632092366414694
+12 0 1 0 0 24 24 32 -0.635844838198097
+12 0 1 0 0 25 24 32 -0.61424978657806
+12 0 1 0 0 26 24 32 -0.567437295565724
+12 0 1 0 0 27 24 32 -0.49163580896888
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.157443899720067
+12 0 0 0 0 2 24 32 0.10836058822876
+12 0 0 0 0 4 24 32 0.355180324230772
+12 0 0 0 0 6 24 32 0.540491970102877
+12 0 0 0 0 8 24 32 0.631378746005083
+12 0 0 0 0 10 24 32 0.612262527650417
+12 0 0 0 0 12 24 32 0.481411404512508
+12 0 0 0 0 14 24 32 0.270498093765112
+12 0 0 0 0 16 24 32 0.0135367498575325
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+12 0 0 0 0 20 24 32 -0.463738538446569
+12 0 0 0 0 22 24 32 -0.600695090266839
+12 0 0 0 0 24 24 32 -0.635844838198097
+12 0 0 0 0 26 24 32 -0.567437295565724
+12 0 0 0 0 28 24 32 -0.394800740143835
+12 0 0 0 0 30 24 32 -0.157443899720067
+12 0 0 0 0 32 24 32 0.10836058822876
+12 0 0 0 0 34 24 32 0.355180324230772
+12 0 0 0 0 36 24 32 0.540491970102877
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.yl
new file mode 100644
index 000000000..3e16c209f
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.yl
@@ -0,0 +1,622 @@
+# HYDROTOY::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -2.93103742532793e-15
+0 0 1 0 0 18 14 32 0.0906468344985235
+0 0 1 0 0 18 15 32 0.179448360850545
+0 0 1 0 0 18 16 32 0.264596836061988
+0 0 1 0 0 18 17 32 0.344358882725476
+0 0 1 0 0 18 18 32 0.417110775585686
+0 0 1 0 0 18 19 32 0.481371495903121
+0 0 1 0 0 18 20 32 0.53583288072473
+0 0 1 0 0 18 21 32 0.579386253309212
+0 0 1 0 0 18 22 32 0.611144992588301
+0 0 1 0 0 18 23 32 0.630462582214916
+0 0 1 0 0 18 24 32 0.636945771771587
+0 0 1 0 0 18 25 32 0.630462582214916
+0 0 1 0 0 18 26 32 0.611144992588301
+0 0 1 0 0 18 27 32 0.579386253309212
+0 0 1 0 0 18 28 32 0.53583288072473
+0 0 1 0 0 18 29 32 0.48137149590312
+0 0 1 0 0 18 30 32 0.417110775585686
+0 0 1 0 0 18 31 32 0.344358882725476
+0 0 1 0 0 18 32 32 0.264596836061988
+0 0 1 0 0 18 33 32 0.179448360850545
+0 0 1 0 0 18 34 32 0.0906468344985234
+0 0 1 0 0 18 35 32 -3.07246779757962e-15
+0 0 1 0 0 18 36 32 -0.0906468344985296
+0 0 1 0 0 18 37 32 -0.17944836085055
+0 0 1 0 0 18 38 32 -0.264596836061994
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.611144992588299
+0 0 0 0 0 18 2 32 -0.636945771771587
+0 0 0 0 0 18 4 32 -0.611144992588303
+0 0 0 0 0 18 6 32 -0.535832880724733
+0 0 0 0 0 18 8 32 -0.417110775585691
+0 0 0 0 0 18 10 32 -0.264596836061994
+0 0 0 0 0 18 12 32 -0.0906468344985295
+0 0 0 0 0 18 14 32 0.0906468344985235
+0 0 0 0 0 18 16 32 0.264596836061988
+0 0 0 0 0 18 18 32 0.417110775585686
+0 0 0 0 0 18 20 32 0.53583288072473
+0 0 0 0 0 18 22 32 0.611144992588301
+0 0 0 0 0 18 24 32 0.636945771771587
+0 0 0 0 0 18 26 32 0.611144992588301
+0 0 0 0 0 18 28 32 0.53583288072473
+0 0 0 0 0 18 30 32 0.417110775585686
+0 0 0 0 0 18 32 32 0.264596836061988
+0 0 0 0 0 18 34 32 0.0906468344985234
+0 0 0 0 0 18 36 32 -0.0906468344985296
+0 0 0 0 0 18 38 32 -0.264596836061994
+0 0 0 0 0 18 40 32 -0.417110775585691
+0 0 0 0 0 18 42 32 -0.535832880724734
+0 0 0 0 0 18 44 32 -0.611144992588303
+0 0 0 0 0 18 46 32 -0.636945771771587
+0 0 0 0 0 18 48 32 -0.611144992588299
+0 0 0 0 0 18 50 32 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.101958040479921
+1 0 1 0 0 18 14 32 0.19045190926366
+1 0 1 0 0 18 15 32 0.276801468550229
+1 0 1 0 0 18 16 32 0.355631693593013
+1 0 1 0 0 18 17 32 0.42722228291136
+1 0 1 0 0 18 18 32 0.490115858556959
+1 0 1 0 0 18 19 32 0.543032088699761
+1 0 1 0 0 18 20 32 0.584893751491865
+1 0 1 0 0 18 21 32 0.614848664197891
+1 0 1 0 0 18 22 32 0.632287031177978
+1 0 1 0 0 18 23 32 0.63685385756851
+1 0 1 0 0 18 24 32 0.628456175953815
+1 0 1 0 0 18 25 32 0.607264938914655
+1 0 1 0 0 18 26 32 0.573711538926666
+1 0 1 0 0 18 27 32 0.528479026453587
+1 0 1 0 0 18 28 32 0.472488205009576
+1 0 1 0 0 18 29 32 0.406878886255038
+1 0 1 0 0 18 30 32 0.332986686718163
+1 0 1 0 0 18 31 32 0.252315838494016
+1 0 1 0 0 18 32 32 0.166508567416923
+1 0 1 0 0 18 33 32 0.0773116620782785
+1 0 1 0 0 18 34 32 -0.0134590857518569
+1 0 1 0 0 18 35 32 -0.103955845408883
+1 0 1 0 0 18 36 32 -0.192336363837286
+1 0 1 0 0 18 37 32 -0.275010333503837
+1 0 1 0 0 18 38 32 -0.354054672129119
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.203336824400688
+2 0 1 0 0 18 14 32 0.287310844989877
+2 0 1 0 0 18 15 32 0.366814710346517
+2 0 1 0 0 18 16 32 0.437116971964769
+2 0 1 0 0 18 17 32 0.49863426960122
+2 0 1 0 0 18 18 32 0.54998022255102
+2 0 1 0 0 18 19 32 0.590130164181673
+2 0 1 0 0 18 20 32 0.618266757464451
+2 0 1 0 0 18 21 32 0.63381722249935
+2 0 1 0 0 18 22 32 0.636464996662099
+2 0 1 0 0 18 23 32 0.626156178906293
+2 0 1 0 0 18 24 32 0.603100627033265
+2 0 1 0 0 18 25 32 0.567767685592429
+2 0 1 0 0 18 26 32 0.520876631379732
+2 0 1 0 0 18 27 32 0.463382031036309
+2 0 1 0 0 18 28 32 0.396454308824417
+2 0 1 0 0 18 29 32 0.321455920164677
+2 0 1 0 0 18 30 32 0.239913615972709
+2 0 1 0 0 18 31 32 0.153487362413272
+2 0 1 0 0 18 32 32 0.0639365487761045
+2 0 1 0 0 18 33 32 -0.0269158286163637
+2 0 1 0 0 18 34 32 -0.117220277357043
+2 0 1 0 0 18 35 32 -0.205118972117534
+2 0 1 0 0 18 36 32 -0.288811734351734
+2 0 1 0 0 18 37 32 -0.365347955302905
+2 0 1 0 0 18 38 32 -0.436059668496852
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -0.637195713383579
+2 0 0 0 0 18 2 32 -0.604381951846523
+2 0 0 0 0 18 4 32 -0.522604758968737
+2 0 0 0 0 18 6 32 -0.398489236569475
+2 0 0 0 0 18 8 32 -0.242090486130096
+2 0 0 0 0 18 10 32 -0.0660790042720144
+2 0 0 0 0 18 12 32 0.115285805525215
+2 0 0 0 0 18 14 32 0.287310844989877
+2 0 0 0 0 18 16 32 0.437116971964769
+2 0 0 0 0 18 18 32 0.54998022255102
+2 0 0 0 0 18 20 32 0.618266757464451
+2 0 0 0 0 18 22 32 0.636464996662099
+2 0 0 0 0 18 24 32 0.603100627033265
+2 0 0 0 0 18 26 32 0.520876631379732
+2 0 0 0 0 18 28 32 0.396454308824417
+2 0 0 0 0 18 30 32 0.239913615972709
+2 0 0 0 0 18 32 32 0.0639365487761045
+2 0 0 0 0 18 34 32 -0.117220277357043
+2 0 0 0 0 18 36 32 -0.288811734351734
+2 0 0 0 0 18 38 32 -0.436059668496852
+2 0 0 0 0 18 40 32 -0.54948153100891
+2 0 0 0 0 18 42 32 -0.618387667771118
+2 0 0 0 0 18 44 32 -0.637195713383579
+2 0 0 0 0 18 46 32 -0.604381951846523
+2 0 0 0 0 18 48 32 -0.522604758968737
+2 0 0 0 0 18 50 32 -0.398489236569475
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.297122722560746
+3 0 1 0 0 18 14 32 0.374509240180489
+3 0 1 0 0 18 15 32 0.447057640236956
+3 0 1 0 0 18 16 32 0.506827467675778
+3 0 1 0 0 18 17 32 0.556679618070835
+3 0 1 0 0 18 18 32 0.595093232939735
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+3 0 1 0 0 18 20 32 0.635052877796211
+3 0 1 0 0 18 21 32 0.635779594398306
+3 0 1 0 0 18 22 32 0.6235636718954
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+3 0 1 0 0 18 24 32 0.561557045773571
+3 0 1 0 0 18 25 32 0.513028618250146
+3 0 1 0 0 18 26 32 0.454056407511513
+3 0 1 0 0 18 27 32 0.385840917706499
+3 0 1 0 0 18 28 32 0.309770819490304
+3 0 1 0 0 18 29 32 0.227394680694563
+3 0 1 0 0 18 30 32 0.14038944195199
+3 0 1 0 0 18 31 32 0.0505262790209926
+3 0 1 0 0 18 32 32 -0.0403654532451152
+3 0 1 0 0 18 33 32 -0.130434852313489
+3 0 1 0 0 18 34 32 -0.217845818675877
+3 0 1 0 0 18 35 32 -0.300740709184171
+3 0 1 0 0 18 36 32 -0.377490025456466
+3 0 1 0 0 18 37 32 -0.444792713212239
+3 0 1 0 0 18 38 32 -0.504818975199184
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.385785774294104
+4 0 1 0 0 18 14 32 0.454285228667723
+4 0 1 0 0 18 15 32 0.515349180689513
+4 0 1 0 0 18 16 32 0.562872587609479
+4 0 1 0 0 18 17 32 0.599805164278482
+4 0 1 0 0 18 18 32 0.624236541461446
+4 0 1 0 0 18 19 32 0.635994238595929
+4 0 1 0 0 18 20 32 0.63479835123162
+4 0 1 0 0 18 21 32 0.620680054866748
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+4 0 1 0 0 18 24 32 0.504938202020884
+4 0 1 0 0 18 25 32 0.444515038931626
+4 0 1 0 0 18 26 32 0.375042831525238
+4 0 1 0 0 18 27 32 0.297935833603211
+4 0 1 0 0 18 28 32 0.214763721285018
+4 0 1 0 0 18 29 32 0.127219638928892
+4 0 1 0 0 18 30 32 0.0370857315953171
+4 0 1 0 0 18 31 32 -0.0538031152566823
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+4 0 1 0 0 18 33 32 -0.23046138528641
+4 0 1 0 0 18 34 32 -0.312625186671178
+4 0 1 0 0 18 35 32 -0.388236343606464
+4 0 1 0 0 18 36 32 -0.455984939625854
+4 0 1 0 0 18 37 32 -0.513778155864505
+4 0 1 0 0 18 38 32 -0.562263542224784
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -0.59648290094983
+4 0 0 0 0 18 2 32 -0.508360375451156
+4 0 0 0 0 18 4 32 -0.379053515669004
+4 0 0 0 0 18 6 32 -0.2190379943654
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+4 0 0 0 0 18 10 32 0.139827402282866
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+4 0 0 0 0 18 14 32 0.454285228667723
+4 0 0 0 0 18 16 32 0.562872587609479
+4 0 0 0 0 18 18 32 0.624236541461446
+4 0 0 0 0 18 20 32 0.63479835123162
+4 0 0 0 0 18 22 32 0.593926482371914
+4 0 0 0 0 18 24 32 0.504938202020884
+4 0 0 0 0 18 26 32 0.375042831525238
+4 0 0 0 0 18 28 32 0.214763721285018
+4 0 0 0 0 18 30 32 0.0370857315953171
+4 0 0 0 0 18 32 32 -0.143596518225502
+4 0 0 0 0 18 34 32 -0.312625186671178
+4 0 0 0 0 18 36 32 -0.455984939625854
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+4 0 0 0 0 18 40 32 -0.624533179725877
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+4 0 0 0 0 18 44 32 -0.59648290094983
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+4 0 0 0 0 18 48 32 -0.379053515669004
+4 0 0 0 0 18 50 32 -0.2190379943654
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.461982018013797
+5 0 1 0 0 18 14 32 0.520003482806647
+5 0 1 0 0 18 15 32 0.569854930437845
+5 0 1 0 0 18 16 32 0.60375578115061
+5 0 1 0 0 18 17 32 0.626858886542579
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+5 0 1 0 0 18 24 32 0.434761908683474
+5 0 1 0 0 18 25 32 0.364064424236367
+5 0 1 0 0 18 26 32 0.285955637987861
+5 0 1 0 0 18 27 32 0.202025619576514
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+5 0 1 0 0 18 29 32 0.0236199013058961
+5 0 1 0 0 18 30 32 -0.0672239652138795
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+5 0 1 0 0 18 32 32 -0.242983304103203
+5 0 1 0 0 18 33 32 -0.324300834751891
+5 0 1 0 0 18 34 32 -0.399002242338411
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+5 0 1 0 0 18 36 32 -0.522215219154659
+5 0 1 0 0 18 37 32 -0.567907562529154
+5 0 1 0 0 18 38 32 -0.603405789548755
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.528170924206962
+6 0 1 0 0 18 14 32 0.573875778478906
+6 0 1 0 0 18 15 32 0.609087357711785
+6 0 1 0 0 18 16 32 0.628402607982646
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+6 0 1 0 0 18 22 32 0.488044488959784
+6 0 1 0 0 18 23 32 0.424801283348847
+6 0 1 0 0 18 24 32 0.352910332080566
+6 0 1 0 0 18 25 32 0.273835144531768
+6 0 1 0 0 18 26 32 0.189185463129498
+6 0 1 0 0 18 27 32 0.100684511234231
+6 0 1 0 0 18 28 32 0.0101339134005747
+6 0 1 0 0 18 29 32 -0.080622967557743
+6 0 1 0 0 18 30 32 -0.169738536004199
+6 0 1 0 0 18 31 32 -0.255397088665889
+6 0 1 0 0 18 32 32 -0.33585401956807
+6 0 1 0 0 18 33 32 -0.409421682673876
+6 0 1 0 0 18 34 32 -0.474646413680446
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+6 0 1 0 0 18 36 32 -0.574438815829003
+6 0 1 0 0 18 37 32 -0.60805918748856
+6 0 1 0 0 18 38 32 -0.629908243846063
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -0.493113583217527
+6 0 0 0 0 18 2 32 -0.358814710696291
+6 0 0 0 0 18 4 32 -0.195446804267703
+6 0 0 0 0 18 6 32 -0.0162449601242363
+6 0 0 0 0 18 8 32 0.164272954075997
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+6 0 0 0 0 18 22 32 0.488044488959784
+6 0 0 0 0 18 24 32 0.352910332080566
+6 0 0 0 0 18 26 32 0.189185463129498
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+6 0 0 0 0 18 38 32 -0.629908243846063
+6 0 0 0 0 18 40 32 -0.634176468120291
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+6 0 0 0 0 18 46 32 -0.358814710696291
+6 0 0 0 0 18 48 32 -0.195446804267703
+6 0 0 0 0 18 50 32 -0.0162449601242363
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.578670904321306
+7 0 1 0 0 18 14 32 0.611120822543567
+7 0 1 0 0 18 15 32 0.632013179995388
+7 0 1 0 0 18 16 32 0.636200564958022
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+7 0 1 0 0 18 18 32 0.610159887343057
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+7 0 1 0 0 18 24 32 0.261579505479243
+7 0 1 0 0 18 25 32 0.176248551169568
+7 0 1 0 0 18 26 32 0.0873296842165666
+7 0 1 0 0 18 27 32 -0.0033669630717236
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+7 0 1 0 0 18 30 32 -0.267704421884281
+7 0 1 0 0 18 31 32 -0.347243796592596
+7 0 1 0 0 18 32 32 -0.419709852177272
+7 0 1 0 0 18 33 32 -0.483526344812098
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+7 0 1 0 0 18 35 32 -0.58003651775444
+7 0 1 0 0 18 36 32 -0.611281724092102
+7 0 1 0 0 18 37 32 -0.631175009131491
+7 0 1 0 0 18 38 32 -0.639028958773139
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.615313954557648
+8 0 1 0 0 18 14 32 0.633332379380941
+8 0 1 0 0 18 15 32 0.638001177606514
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+8 0 1 0 0 18 18 32 0.572014114246698
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+8 0 1 0 0 18 21 32 0.404277860502086
+8 0 1 0 0 18 22 32 0.330094362896857
+8 0 1 0 0 18 23 32 0.249194155030252
+8 0 1 0 0 18 24 32 0.163220390236194
+8 0 1 0 0 18 25 32 0.0739239776031885
+8 0 1 0 0 18 26 32 -0.0168773199826613
+8 0 1 0 0 18 27 32 -0.107335039733229
+8 0 1 0 0 18 28 32 -0.195607704667645
+8 0 1 0 0 18 29 32 -0.279897859729244
+8 0 1 0 0 18 30 32 -0.358489413228264
+8 0 1 0 0 18 31 32 -0.429767712952583
+8 0 1 0 0 18 32 32 -0.492292284383873
+8 0 1 0 0 18 33 32 -0.544616953642018
+8 0 1 0 0 18 34 32 -0.585933268497504
+8 0 1 0 0 18 35 32 -0.61479306222931
+8 0 1 0 0 18 36 32 -0.63181613582605
+8 0 1 0 0 18 37 32 -0.63824323348834
+8 0 1 0 0 18 38 32 -0.631681916444505
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.337794414256765
+8 0 0 0 0 18 2 32 -0.171335037756763
+8 0 0 0 0 18 4 32 0.00900705762306818
+8 0 0 0 0 18 6 32 0.188619368399998
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+8 0 0 0 0 18 16 32 0.626988378392703
+8 0 0 0 0 18 18 32 0.572014114246698
+8 0 0 0 0 18 20 32 0.47020748332409
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+8 0 0 0 0 18 34 32 -0.585933268497504
+8 0 0 0 0 18 36 32 -0.63181613582605
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+8 0 0 0 0 18 40 32 -0.577134100234185
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+8 0 0 0 0 18 44 32 -0.337794414256765
+8 0 0 0 0 18 46 32 -0.171335037756763
+8 0 0 0 0 18 48 32 0.00900705762306818
+8 0 0 0 0 18 50 32 0.188619368399998
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0.63468295670025
+9 0 1 0 0 18 14 32 0.638103833218344
+9 0 1 0 0 18 15 32 0.626926753408967
+9 0 1 0 0 18 16 32 0.601073933798671
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+9 0 1 0 0 18 24 32 0.0604730478656601
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+9 0 1 0 0 18 29 32 -0.369576464792647
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+9 0 1 0 0 18 32 32 -0.551644681090512
+9 0 1 0 0 18 33 32 -0.5910528806185
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+9 0 1 0 0 18 35 32 -0.633144278903548
+9 0 1 0 0 18 36 32 -0.635500488835326
+9 0 1 0 0 18 37 32 -0.627924931934169
+9 0 1 0 0 18 38 32 -0.607665083231773
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0.637799722924
+10 0 1 0 0 18 14 32 0.626237389313338
+10 0 1 0 0 18 15 32 0.599074426470653
+10 0 1 0 0 18 16 32 0.55919173902274
+10 0 1 0 0 18 17 32 0.511548618913104
+10 0 1 0 0 18 18 32 0.450996816945362
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+10 0 1 0 0 18 20 32 0.306551539775832
+10 0 1 0 0 18 21 32 0.22406958902696
+10 0 1 0 0 18 22 32 0.136907580818238
+10 0 1 0 0 18 23 32 0.0469834799016122
+10 0 1 0 0 18 24 32 -0.0439043350060397
+10 0 1 0 0 18 25 32 -0.133897450184545
+10 0 1 0 0 18 26 32 -0.221164988617415
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+10 0 1 0 0 18 28 32 -0.380507838785124
+10 0 1 0 0 18 29 32 -0.449334887774671
+10 0 1 0 0 18 30 32 -0.50901277475374
+10 0 1 0 0 18 31 32 -0.558264609999379
+10 0 1 0 0 18 32 32 -0.596166505580224
+10 0 1 0 0 18 33 32 -0.621597991134857
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+10 0 1 0 0 18 35 32 -0.634637332213418
+10 0 1 0 0 18 36 32 -0.622293494676205
+10 0 1 0 0 18 37 32 -0.601129194429765
+10 0 1 0 0 18 38 32 -0.567045803677738
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.146717342024451
+10 0 0 0 0 18 2 32 0.0344564118207704
+10 0 0 0 0 18 4 32 0.212856332547802
+10 0 0 0 0 18 6 32 0.374010450467525
+10 0 0 0 0 18 8 32 0.504851071855133
+10 0 0 0 0 18 10 32 0.594792841620759
+10 0 0 0 0 18 12 32 0.63600786777328
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+10 0 0 0 0 18 16 32 0.55919173902274
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+10 0 0 0 0 18 20 32 0.306551539775832
+10 0 0 0 0 18 22 32 0.136907580818238
+10 0 0 0 0 18 24 32 -0.0439043350060397
+10 0 0 0 0 18 26 32 -0.221164988617415
+10 0 0 0 0 18 28 32 -0.380507838785124
+10 0 0 0 0 18 30 32 -0.50901277475374
+10 0 0 0 0 18 32 32 -0.596166505580224
+10 0 0 0 0 18 34 32 -0.634656239872319
+10 0 0 0 0 18 36 32 -0.622293494676205
+10 0 0 0 0 18 38 32 -0.567045803677738
+10 0 0 0 0 18 40 32 -0.45912263335399
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+10 0 0 0 0 18 44 32 -0.146717342024451
+10 0 0 0 0 18 46 32 0.0344564118207704
+10 0 0 0 0 18 48 32 0.212856332547802
+10 0 0 0 0 18 50 32 0.374010450467525
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.623885519379401
+11 0 1 0 0 18 14 32 0.597965427862751
+11 0 1 0 0 18 15 32 0.555228765239665
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+11 0 1 0 0 18 37 32 -0.558414107988997
+11 0 1 0 0 18 38 32 -0.512210762270426
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.5930426294711
+12 0 1 0 0 18 14 32 0.553210488800972
+12 0 1 0 0 18 15 32 0.496546799197769
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+12 0 1 0 0 18 37 32 -0.500495251094579
+12 0 1 0 0 18 38 32 -0.44236439751383
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.0601347312362356
+12 0 0 0 0 18 2 32 0.236957446841132
+12 0 0 0 0 18 4 32 0.394656522751025
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+12 0 0 0 0 18 46 32 0.236957446841132
+12 0 0 0 0 18 48 32 0.394656522751025
+12 0 0 0 0 18 50 32 0.520374608611478
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.zl
new file mode 100644
index 000000000..c22abf4d2
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.zl
@@ -0,0 +1,782 @@
+# HYDROTOY::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -0.636945771771587
+0 0 1 0 0 18 24 18 -0.62302697845592
+0 0 1 0 0 18 24 19 -0.581878916566593
+0 0 1 0 0 18 24 20 -0.515299953858479
+0 0 1 0 0 18 24 21 -0.426199910483232
+0 0 1 0 0 18 24 22 -0.318472885885792
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+0 0 1 0 0 18 24 24 -0.0665789627081123
+0 0 1 0 0 18 24 25 0.0665789627081145
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+0 0 1 0 0 18 24 27 0.318472885885794
+0 0 1 0 0 18 24 28 0.426199910483233
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+0 0 1 0 0 18 24 30 0.581878916566594
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+0 0 1 0 0 18 24 33 0.62302697845592
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+0 0 1 0 0 18 24 36 0.426199910483233
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+0 0 1 0 0 18 24 39 0.0665789627081145
+0 0 1 0 0 18 24 40 -0.0665789627081124
+0 0 1 0 0 18 24 41 -0.196827067972686
+0 0 1 0 0 18 24 42 -0.318472885885792
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+0 0 1 0 0 18 24 47 -0.636945771771587
+0 0 1 0 0 18 24 48 -0.62302697845592
+0 0 1 0 0 18 24 49 -0.581878916566595
+0 0 1 0 0 18 24 50 -0.515299953858482
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.581878916566596
+0 0 0 0 0 18 24 2 0.636945771771587
+0 0 0 0 0 18 24 4 0.581878916566593
+0 0 0 0 0 18 24 6 0.42619991048323
+0 0 0 0 0 18 24 8 0.196827067972683
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+0 0 0 0 0 18 24 12 -0.318472885885796
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+0 0 0 0 0 18 24 32 0.636945771771587
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+0 0 0 0 0 18 24 48 -0.62302697845592
+0 0 0 0 0 18 24 50 -0.515299953858482
+0 0 0 0 0 18 24 52 -0.318472885885796
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+0 0 0 0 0 18 24 56 0.196827067972684
+0 0 0 0 0 18 24 58 0.42619991048323
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+0 0 0 0 0 18 24 62 0.636945771771587
+0 0 0 0 0 18 24 64 0.581878916566596
+0 0 0 0 0 18 24 66 0.426199910483237
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.628552655248775
+1 0 1 0 0 18 24 18 -0.594053210778659
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+1 0 1 0 0 18 24 30 0.616405936459762
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+1 0 1 0 0 18 24 37 0.224199684980931
+1 0 1 0 0 18 24 38 0.0953357544065354
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+1 0 1 0 0 18 24 43 -0.497773510679681
+1 0 1 0 0 18 24 44 -0.569535439387464
+1 0 1 0 0 18 24 45 -0.616405936459761
+1 0 1 0 0 18 24 46 -0.636336536264916
+1 0 1 0 0 18 24 47 -0.628456175953816
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+1 0 1 0 0 18 24 49 -0.532764421039846
+1 0 1 0 0 18 24 50 -0.448932909375275
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.603952191874012
+2 0 1 0 0 18 24 18 -0.548892104535778
+2 0 1 0 0 18 24 19 -0.470028735205484
+2 0 1 0 0 18 24 20 -0.367140789716871
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+2 0 1 0 0 18 24 23 0.00872992537532508
+2 0 1 0 0 18 24 24 0.140973507602591
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+2 0 1 0 0 18 24 26 0.381466611518256
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+2 0 1 0 0 18 24 28 0.556000672787044
+2 0 1 0 0 18 24 29 0.608496017634465
+2 0 1 0 0 18 24 30 0.634397166623412
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+2 0 1 0 0 18 24 32 0.603100627033265
+2 0 1 0 0 18 24 33 0.54727074741172
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+2 0 1 0 0 18 24 37 0.123895196481675
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+2 0 1 0 0 18 24 45 -0.634397166623412
+2 0 1 0 0 18 24 46 -0.632529630971321
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+2 0 1 0 0 18 24 49 -0.469079251221587
+2 0 1 0 0 18 24 50 -0.369418369953891
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 0.634847735200847
+2 0 0 0 0 18 24 2 0.604381951846525
+2 0 0 0 0 18 24 4 0.469413038380274
+2 0 0 0 0 18 24 6 0.253278346094499
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+2 0 0 0 0 18 24 24 0.140973507602591
+2 0 0 0 0 18 24 26 0.381466611518256
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+2 0 0 0 0 18 24 32 0.603100627033265
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+2 0 0 0 0 18 24 50 -0.369418369953891
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+2 0 0 0 0 18 24 54 0.139079131940511
+2 0 0 0 0 18 24 56 0.380179061620702
+2 0 0 0 0 18 24 58 0.555542577728327
+2 0 0 0 0 18 24 60 0.634847735200847
+2 0 0 0 0 18 24 62 0.604381951846525
+2 0 0 0 0 18 24 64 0.469413038380274
+2 0 0 0 0 18 24 66 0.253278346094499
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.563884077634816
+3 0 1 0 0 18 24 18 -0.48985993946387
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+3 0 1 0 0 18 24 30 0.635366511859372
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+3 0 1 0 0 18 24 32 0.561557045773571
+3 0 1 0 0 18 24 33 0.48673958303795
+3 0 1 0 0 18 24 34 0.390649264887917
+3 0 1 0 0 18 24 35 0.277485699319131
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+3 0 1 0 0 18 24 37 0.0202520173095953
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+3 0 1 0 0 18 24 45 -0.635354070550667
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+3 0 1 0 0 18 24 49 -0.392282287169165
+3 0 1 0 0 18 24 50 -0.282166175168066
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.507666077925392
+4 0 1 0 0 18 24 18 -0.416184622317406
+4 0 1 0 0 18 24 19 -0.306002904149347
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+4 0 1 0 0 18 24 49 -0.306033265301958
+4 0 1 0 0 18 24 50 -0.185373045159889
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 0.621361463077223
+4 0 0 0 0 18 24 2 0.508360375451158
+4 0 0 0 0 18 24 4 0.307459160600559
+4 0 0 0 0 18 24 6 0.0533954637033422
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+4 0 0 0 0 18 24 52 0.0801230962517343
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+4 0 0 0 0 18 24 64 0.307459160600559
+4 0 0 0 0 18 24 66 0.0533954637033422
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -0.439317612840879
+5 0 1 0 0 18 24 18 -0.332993573338783
+5 0 1 0 0 18 24 19 -0.209667135318351
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+5 0 1 0 0 18 24 49 -0.211853188368446
+5 0 1 0 0 18 24 50 -0.0861901837154472
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.357269351548466
+6 0 1 0 0 18 24 18 -0.238577652447203
+6 0 1 0 0 18 24 19 -0.107278021317545
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+6 0 1 0 0 18 24 49 -0.111895223874864
+6 0 1 0 0 18 24 50 0.0177661437606209
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 0.542663970499056
+6 0 0 0 0 18 24 2 0.358814710696292
+6 0 0 0 0 18 24 4 0.112923127684826
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+6 0 0 0 0 18 24 64 0.112923127684826
+6 0 0 0 0 18 24 66 -0.152493889977748
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -0.267726383981873
+7 0 1 0 0 18 24 18 -0.140059399477001
+7 0 1 0 0 18 24 19 -0.00166784328619148
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+7 0 1 0 0 18 24 50 0.11869737061067
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -0.1685339306907
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+8 0 1 0 0 18 24 49 0.0930123046370683
+8 0 1 0 0 18 24 50 0.219203019053916
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 0.406862107822967
+8 0 0 0 0 18 24 2 0.171334964440367
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+8 0 0 0 0 18 24 64 -0.0938174314677489
+8 0 0 0 0 18 24 66 -0.342747941170476
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.0673104018561829
+9 0 1 0 0 18 24 18 0.0681059794807378
+9 0 1 0 0 18 24 19 0.207247669805296
+9 0 1 0 0 18 24 20 0.3231225367424
+9 0 1 0 0 18 24 21 0.429930207547708
+9 0 1 0 0 18 24 22 0.519613415122261
+9 0 1 0 0 18 24 23 0.583751095896297
+9 0 1 0 0 18 24 24 0.624525490710246
+9 0 1 0 0 18 24 25 0.636911291836498
+9 0 1 0 0 18 24 26 0.62181446801571
+9 0 1 0 0 18 24 27 0.579423490479057
+9 0 1 0 0 18 24 28 0.51173122563348
+9 0 1 0 0 18 24 29 0.421668526201587
+9 0 1 0 0 18 24 30 0.313177544889287
+9 0 1 0 0 18 24 31 0.190999084882931
+9 0 1 0 0 18 24 32 0.0604730478656601
+9 0 1 0 0 18 24 33 -0.0726959250412192
+9 0 1 0 0 18 24 34 -0.202687782338635
+9 0 1 0 0 18 24 35 -0.323821149913778
+9 0 1 0 0 18 24 36 -0.430802052798408
+9 0 1 0 0 18 24 37 -0.518954750463454
+9 0 1 0 0 18 24 38 -0.584426649558037
+9 0 1 0 0 18 24 39 -0.624355967782524
+9 0 1 0 0 18 24 40 -0.636994708234685
+9 0 1 0 0 18 24 41 -0.621788732358851
+9 0 1 0 0 18 24 42 -0.579346351849336
+9 0 1 0 0 18 24 43 -0.511571376702781
+9 0 1 0 0 18 24 44 -0.421036350318192
+9 0 1 0 0 18 24 45 -0.312582059809674
+9 0 1 0 0 18 24 46 -0.190343253101527
+9 0 1 0 0 18 24 47 -0.0623249205973711
+9 0 1 0 0 18 24 48 0.0659154289238202
+9 0 1 0 0 18 24 49 0.191567573611653
+9 0 1 0 0 18 24 50 0.311579686164898
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.0383821213740489
+10 0 1 0 0 18 24 18 0.1722193300997
+10 0 1 0 0 18 24 19 0.304713853391441
+10 0 1 0 0 18 24 20 0.407506885262113
+10 0 1 0 0 18 24 21 0.501571513927838
+10 0 1 0 0 18 24 22 0.57290708953729
+10 0 1 0 0 18 24 23 0.617097856793352
+10 0 1 0 0 18 24 24 0.636865655615
+10 0 1 0 0 18 24 25 0.627256856106354
+10 0 1 0 0 18 24 26 0.590853474991442
+10 0 1 0 0 18 24 27 0.528389403826346
+10 0 1 0 0 18 24 28 0.442887549383583
+10 0 1 0 0 18 24 29 0.338014000996221
+10 0 1 0 0 18 24 30 0.218369975653913
+10 0 1 0 0 18 24 31 0.0891816520752122
+10 0 1 0 0 18 24 32 -0.0439043350060397
+10 0 1 0 0 18 24 33 -0.175071398514669
+10 0 1 0 0 18 24 34 -0.298587154034695
+10 0 1 0 0 18 24 35 -0.409053019596751
+10 0 1 0 0 18 24 36 -0.501641535533039
+10 0 1 0 0 18 24 37 -0.572305626949493
+10 0 1 0 0 18 24 38 -0.617957182018054
+10 0 1 0 0 18 24 39 -0.636600084891583
+10 0 1 0 0 18 24 40 -0.627411947673815
+10 0 1 0 0 18 24 41 -0.590794789433834
+10 0 1 0 0 18 24 42 -0.528246281395612
+10 0 1 0 0 18 24 43 -0.442637527778285
+10 0 1 0 0 18 24 44 -0.337219204565761
+10 0 1 0 0 18 24 45 -0.217927097698857
+10 0 1 0 0 18 24 46 -0.0895242829425776
+10 0 1 0 0 18 24 47 0.0402427762176866
+10 0 1 0 0 18 24 48 0.165763826892466
+10 0 1 0 0 18 24 49 0.287779025753113
+10 0 1 0 0 18 24 50 0.39839517291877
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 0.228092326203458
+10 0 0 0 0 18 24 2 -0.0344576734701573
+10 0 0 0 0 18 24 4 -0.291047497445495
+10 0 0 0 0 18 24 6 -0.497312592198739
+10 0 0 0 0 18 24 8 -0.617586750290233
+10 0 0 0 0 18 24 10 -0.631058955556475
+10 0 0 0 0 18 24 12 -0.535344616539465
+10 0 0 0 0 18 24 14 -0.346529282144943
+10 0 0 0 0 18 24 16 -0.0969838053373678
+10 0 0 0 0 18 24 18 0.1722193300997
+10 0 0 0 0 18 24 20 0.407506885262113
+10 0 0 0 0 18 24 22 0.57290708953729
+10 0 0 0 0 18 24 24 0.636865655615
+10 0 0 0 0 18 24 26 0.590853474991442
+10 0 0 0 0 18 24 28 0.442887549383583
+10 0 0 0 0 18 24 30 0.218369975653913
+10 0 0 0 0 18 24 32 -0.0439043350060397
+10 0 0 0 0 18 24 34 -0.298587154034695
+10 0 0 0 0 18 24 36 -0.501641535533039
+10 0 0 0 0 18 24 38 -0.617957182018054
+10 0 0 0 0 18 24 40 -0.627411947673815
+10 0 0 0 0 18 24 42 -0.528246281395612
+10 0 0 0 0 18 24 44 -0.337219204565761
+10 0 0 0 0 18 24 46 -0.0895242829425776
+10 0 0 0 0 18 24 48 0.165763826892466
+10 0 0 0 0 18 24 50 0.39839517291877
+10 0 0 0 0 18 24 52 0.571870175569187
+10 0 0 0 0 18 24 54 0.637589711139281
+10 0 0 0 0 18 24 56 0.596427090457052
+10 0 0 0 0 18 24 58 0.451180077641788
+10 0 0 0 0 18 24 60 0.228092326203458
+10 0 0 0 0 18 24 62 -0.0344576734701573
+10 0 0 0 0 18 24 64 -0.291047497445495
+10 0 0 0 0 18 24 66 -0.497312592198739
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.140401432743851
+11 0 1 0 0 18 24 18 0.26880114551625
+11 0 1 0 0 18 24 19 0.393846627993039
+11 0 1 0 0 18 24 20 0.480954918512145
+11 0 1 0 0 18 24 21 0.560107914812061
+11 0 1 0 0 18 24 22 0.610668781759103
+11 0 1 0 0 18 24 23 0.633954881204441
+11 0 1 0 0 18 24 24 0.632116586972226
+11 0 1 0 0 18 24 25 0.600720747226409
+11 0 1 0 0 18 24 26 0.544037262547874
+11 0 1 0 0 18 24 27 0.46315417077551
+11 0 1 0 0 18 24 28 0.362147958854848
+11 0 1 0 0 18 24 29 0.245276502354383
+11 0 1 0 0 18 24 30 0.11769224127333
+11 0 1 0 0 18 24 31 -0.0150373439621161
+11 0 1 0 0 18 24 32 -0.147109688782648
+11 0 1 0 0 18 24 33 -0.272752362578289
+11 0 1 0 0 18 24 34 -0.386474883191521
+11 0 1 0 0 18 24 35 -0.483306048521102
+11 0 1 0 0 18 24 36 -0.559015028357842
+11 0 1 0 0 18 24 37 -0.610291605176143
+11 0 1 0 0 18 24 38 -0.634895220712324
+11 0 1 0 0 18 24 39 -0.631748630978904
+11 0 1 0 0 18 24 40 -0.600972360132099
+11 0 1 0 0 18 24 41 -0.543921534807812
+11 0 1 0 0 18 24 42 -0.462923407119285
+11 0 1 0 0 18 24 43 -0.361808322864076
+11 0 1 0 0 18 24 44 -0.244437971937093
+11 0 1 0 0 18 24 45 -0.117678240665223
+11 0 1 0 0 18 24 46 0.0131996512138911
+11 0 1 0 0 18 24 47 0.14141145462381
+11 0 1 0 0 18 24 48 0.2612124303864
+11 0 1 0 0 18 24 49 0.373582176770033
+11 0 1 0 0 18 24 50 0.472741065864329
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.241221321252669
+12 0 1 0 0 18 24 18 0.360676183016133
+12 0 1 0 0 18 24 19 0.472256602825277
+12 0 1 0 0 18 24 20 0.541467407803912
+12 0 1 0 0 18 24 21 0.603880373419682
+12 0 1 0 0 18 24 22 0.631859621511512
+12 0 1 0 0 18 24 23 0.633945254903931
+12 0 1 0 0 18 24 24 0.610379870791735
+12 0 1 0 0 18 24 25 0.558018408127678
+12 0 1 0 0 18 24 26 0.482623761535182
+12 0 1 0 0 18 24 27 0.385461609241215
+12 0 1 0 0 18 24 28 0.271679595125292
+12 0 1 0 0 18 24 29 0.145943255611249
+12 0 1 0 0 18 24 30 0.0138461040638361
+12 0 1 0 0 18 24 31 -0.118860736216739
+12 0 1 0 0 18 24 32 -0.246372589803212
+12 0 1 0 0 18 24 33 -0.363116106322063
+12 0 1 0 0 18 24 34 -0.463990787825967
+12 0 1 0 0 18 24 35 -0.544585513645884
+12 0 1 0 0 18 24 36 -0.601380639999238
+12 0 1 0 0 18 24 37 -0.631890738575358
+12 0 1 0 0 18 24 38 -0.63478307885622
+12 0 1 0 0 18 24 39 -0.609928004007712
+12 0 1 0 0 18 24 40 -0.558378421502418
+12 0 1 0 0 18 24 41 -0.482422084270974
+12 0 1 0 0 18 24 42 -0.385136121346867
+12 0 1 0 0 18 24 43 -0.271286228895899
+12 0 1 0 0 18 24 44 -0.145276681397525
+12 0 1 0 0 18 24 45 -0.0146052894672054
+12 0 1 0 0 18 24 46 0.11512425968356
+12 0 1 0 0 18 24 47 0.238511647698327
+12 0 1 0 0 18 24 48 0.349863059402887
+12 0 1 0 0 18 24 49 0.452843160666537
+12 0 1 0 0 18 24 50 0.536920169485308
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 0.0250520621808693
+12 0 0 0 0 18 24 2 -0.236964808005164
+12 0 0 0 0 18 24 4 -0.457995230719109
+12 0 0 0 0 18 24 6 -0.599834516037276
+12 0 0 0 0 18 24 8 -0.637951062980916
+12 0 0 0 0 18 24 10 -0.565702158395897
+12 0 0 0 0 18 24 12 -0.395474719604791
+12 0 0 0 0 18 24 14 -0.155905867969948
+12 0 0 0 0 18 24 16 0.111277787799026
+12 0 0 0 0 18 24 18 0.360676183016133
+12 0 0 0 0 18 24 20 0.541467407803912
+12 0 0 0 0 18 24 22 0.631859621511512
+12 0 0 0 0 18 24 24 0.610379870791735
+12 0 0 0 0 18 24 26 0.482623761535182
+12 0 0 0 0 18 24 28 0.271679595125292
+12 0 0 0 0 18 24 30 0.0138461040638361
+12 0 0 0 0 18 24 32 -0.246372589803212
+12 0 0 0 0 18 24 34 -0.463990787825967
+12 0 0 0 0 18 24 36 -0.601380639999238
+12 0 0 0 0 18 24 38 -0.63478307885622
+12 0 0 0 0 18 24 40 -0.558378421502418
+12 0 0 0 0 18 24 42 -0.385136121346867
+12 0 0 0 0 18 24 44 -0.145276681397525
+12 0 0 0 0 18 24 46 0.11512425968356
+12 0 0 0 0 18 24 48 0.349863059402887
+12 0 0 0 0 18 24 50 0.536920169485308
+12 0 0 0 0 18 24 52 0.635037291597837
+12 0 0 0 0 18 24 54 0.614007743732415
+12 0 0 0 0 18 24 56 0.491842829351883
+12 0 0 0 0 18 24 58 0.282643010794454
+12 0 0 0 0 18 24 60 0.0250520621808693
+12 0 0 0 0 18 24 62 -0.236964808005164
+12 0 0 0 0 18 24 64 -0.457995230719109
+12 0 0 0 0 18 24 66 -0.599834516037276
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.log b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.log
new file mode 100644
index 000000000..17abc8f69
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.log
@@ -0,0 +1,164 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Nov 30 2001 (15:23:02)
+Run date: Dec 3 2001 (11:14:43)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/HydroToy/test/hydrotoy_periodic_coarse_rl3.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetSlab IDHydroToy HydroToy<---
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetIOFlexIO...Success -> active implementation IOFlexIO
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn HydroToy...Success -> active implementation hydrotoy
+Activating thorn IDHydroToy...Success -> active implementation idhydrotoy
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Time...Success -> active implementation time
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ CarpetIOFlexIO: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ HydroToy: Register banner
+ IDHydroToy: Register banner
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ HydroToy: Schedule symmetries
+ Time: Initialise Time variables
+ Time: Set timestep based on Courant condition
+ CarpetIOFlexIO: Read initial data from file
+ IDHydroToy: Initial data for 3D wave equation
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ HydroToy: Euler predictor step
+ HydroToy: Euler corrector step
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 3D FlexIO I/O provided by CarpetIOFlexIO
+--------------------------------------------------------------------------------
+HydroToy: Evolutions of a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+IDHydroToy: Initial data for a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-5.4, -7.2, -9.6]
+INFO (Cart3d): Whole grid: upper bound [5.4, 7.8, 10.2]
+INFO (Cart3d): Whole grid: extent [11.4, 15.6, 20.4]
+INFO (Cart3d): Interior: lower bound [-4.2, -6, -8.4]
+INFO (Cart3d): Interior: upper bound [4.2, 6.6, 9]
+INFO (Cart3d): Interior: extent [9, 13.2, 18]
+INFO (Cart3d): Grid spacing: [0.6, 0.6, 0.6]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every 1 iterations
+------------------
+ it | |
+ | t |
+------------------
+ 0 | 0.000 |
+ 0 | 0.000 |
+ 0 | 0.000 |
+ 1 | 0.075 |
+ 2 | 0.150 |
+ 2 | 0.150 |
+ 3 | 0.225 |
+ 4 | 0.300 |
+ 4 | 0.300 |
+ 4 | 0.300 |
+ 5 | 0.375 |
+ 6 | 0.450 |
+ 6 | 0.450 |
+ 7 | 0.525 |
+ 8 | 0.600 |
+ 8 | 0.600 |
+ 8 | 0.600 |
+ 9 | 0.675 |
+ 10 | 0.750 |
+ 10 | 0.750 |
+ 11 | 0.825 |
+ 12 | 0.900 |
+ 12 | 0.900 |
+ 12 | 0.900 |
+ 13 | 0.975 |
+ 14 | 1.050 |
+ 14 | 1.050 |
+ 15 | 1.125 |
+ 16 | 1.200 |
+ 16 | 1.200 |
+ 16 | 1.200 |
+ 17 | 1.275 |
+ 18 | 1.350 |
+ 18 | 1.350 |
+ 19 | 1.425 |
+ 20 | 1.500 |
+ 20 | 1.500 |
+ 20 | 1.500 |
+ 21 | 1.575 |
+ 22 | 1.650 |
+ 22 | 1.650 |
+ 23 | 1.725 |
+ 24 | 1.800 |
+ 24 | 1.800 |
+ 24 | 1.800 |
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.par b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.par
new file mode 100644
index 000000000..a13f4a4cc
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.par
@@ -0,0 +1,52 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.par,v 1.4 2004/03/23 12:00:04 schnetter Exp $
+
+!DESC "WaveToy with periodic boundaries, 2 refinement levels"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 24
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 3
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_coarse_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.xl
new file mode 100644
index 000000000..35dd3bbb1
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.xl
@@ -0,0 +1,1082 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 -1.35
+0 0 2 0 0 28 48 64 -1.2
+0 0 2 0 0 29 48 64 -1.05
+0 0 2 0 0 30 48 64 -0.9
+0 0 2 0 0 31 48 64 -0.75
+0 0 2 0 0 32 48 64 -0.6
+0 0 2 0 0 33 48 64 -0.45
+0 0 2 0 0 34 48 64 -0.3
+0 0 2 0 0 35 48 64 -0.15
+0 0 2 0 0 36 48 64 4.44089209850063e-16
+0 0 2 0 0 37 48 64 0.15
+0 0 2 0 0 38 48 64 0.3
+0 0 2 0 0 39 48 64 0.450000000000001
+0 0 2 0 0 40 48 64 0.600000000000001
+0 0 2 0 0 41 48 64 0.750000000000001
+0 0 2 0 0 42 48 64 0.900000000000001
+0 0 2 0 0 43 48 64 1.05
+0 0 2 0 0 44 48 64 1.2
+0 0 2 0 0 45 48 64 1.35
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -2.7
+0 0 1 0 0 20 48 64 -2.4
+0 0 1 0 0 22 48 64 -2.1
+0 0 1 0 0 24 48 64 -1.8
+0 0 1 0 0 26 48 64 -1.5
+0 0 1 0 0 28 48 64 -1.2
+0 0 1 0 0 30 48 64 -0.9
+0 0 1 0 0 32 48 64 -0.6
+0 0 1 0 0 34 48 64 -0.3
+0 0 1 0 0 36 48 64 4.44089209850063e-16
+0 0 1 0 0 38 48 64 0.3
+0 0 1 0 0 40 48 64 0.600000000000001
+0 0 1 0 0 42 48 64 0.900000000000001
+0 0 1 0 0 44 48 64 1.2
+0 0 1 0 0 46 48 64 1.5
+0 0 1 0 0 48 48 64 1.8
+0 0 1 0 0 50 48 64 2.1
+0 0 1 0 0 52 48 64 2.4
+0 0 1 0 0 54 48 64 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -5.4
+0 0 0 0 0 4 48 64 -4.8
+0 0 0 0 0 8 48 64 -4.2
+0 0 0 0 0 12 48 64 -3.6
+0 0 0 0 0 16 48 64 -3
+0 0 0 0 0 20 48 64 -2.4
+0 0 0 0 0 24 48 64 -1.8
+0 0 0 0 0 28 48 64 -1.2
+0 0 0 0 0 32 48 64 -0.6
+0 0 0 0 0 36 48 64 4.44089209850063e-16
+0 0 0 0 0 40 48 64 0.600000000000001
+0 0 0 0 0 44 48 64 1.2
+0 0 0 0 0 48 48 64 1.8
+0 0 0 0 0 52 48 64 2.4
+0 0 0 0 0 56 48 64 3
+0 0 0 0 0 60 48 64 3.6
+0 0 0 0 0 64 48 64 4.2
+0 0 0 0 0 68 48 64 4.8
+0 0 0 0 0 72 48 64 5.4
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 -1.35
+1 0 2 0 0 28 48 64 -1.2
+1 0 2 0 0 29 48 64 -1.05
+1 0 2 0 0 30 48 64 -0.9
+1 0 2 0 0 31 48 64 -0.75
+1 0 2 0 0 32 48 64 -0.6
+1 0 2 0 0 33 48 64 -0.45
+1 0 2 0 0 34 48 64 -0.3
+1 0 2 0 0 35 48 64 -0.15
+1 0 2 0 0 36 48 64 4.44089209850063e-16
+1 0 2 0 0 37 48 64 0.15
+1 0 2 0 0 38 48 64 0.3
+1 0 2 0 0 39 48 64 0.450000000000001
+1 0 2 0 0 40 48 64 0.600000000000001
+1 0 2 0 0 41 48 64 0.750000000000001
+1 0 2 0 0 42 48 64 0.900000000000001
+1 0 2 0 0 43 48 64 1.05
+1 0 2 0 0 44 48 64 1.2
+1 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 -1.35
+2 0 2 0 0 28 48 64 -1.2
+2 0 2 0 0 29 48 64 -1.05
+2 0 2 0 0 30 48 64 -0.9
+2 0 2 0 0 31 48 64 -0.75
+2 0 2 0 0 32 48 64 -0.6
+2 0 2 0 0 33 48 64 -0.45
+2 0 2 0 0 34 48 64 -0.3
+2 0 2 0 0 35 48 64 -0.15
+2 0 2 0 0 36 48 64 4.44089209850063e-16
+2 0 2 0 0 37 48 64 0.15
+2 0 2 0 0 38 48 64 0.3
+2 0 2 0 0 39 48 64 0.450000000000001
+2 0 2 0 0 40 48 64 0.600000000000001
+2 0 2 0 0 41 48 64 0.750000000000001
+2 0 2 0 0 42 48 64 0.900000000000001
+2 0 2 0 0 43 48 64 1.05
+2 0 2 0 0 44 48 64 1.2
+2 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -2.7
+2 0 1 0 0 20 48 64 -2.4
+2 0 1 0 0 22 48 64 -2.1
+2 0 1 0 0 24 48 64 -1.8
+2 0 1 0 0 26 48 64 -1.5
+2 0 1 0 0 28 48 64 -1.2
+2 0 1 0 0 30 48 64 -0.9
+2 0 1 0 0 32 48 64 -0.6
+2 0 1 0 0 34 48 64 -0.3
+2 0 1 0 0 36 48 64 4.44089209850063e-16
+2 0 1 0 0 38 48 64 0.3
+2 0 1 0 0 40 48 64 0.600000000000001
+2 0 1 0 0 42 48 64 0.900000000000001
+2 0 1 0 0 44 48 64 1.2
+2 0 1 0 0 46 48 64 1.5
+2 0 1 0 0 48 48 64 1.8
+2 0 1 0 0 50 48 64 2.1
+2 0 1 0 0 52 48 64 2.4
+2 0 1 0 0 54 48 64 2.7
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 -1.35
+3 0 2 0 0 28 48 64 -1.2
+3 0 2 0 0 29 48 64 -1.05
+3 0 2 0 0 30 48 64 -0.9
+3 0 2 0 0 31 48 64 -0.75
+3 0 2 0 0 32 48 64 -0.6
+3 0 2 0 0 33 48 64 -0.45
+3 0 2 0 0 34 48 64 -0.3
+3 0 2 0 0 35 48 64 -0.15
+3 0 2 0 0 36 48 64 4.44089209850063e-16
+3 0 2 0 0 37 48 64 0.15
+3 0 2 0 0 38 48 64 0.3
+3 0 2 0 0 39 48 64 0.450000000000001
+3 0 2 0 0 40 48 64 0.600000000000001
+3 0 2 0 0 41 48 64 0.750000000000001
+3 0 2 0 0 42 48 64 0.900000000000001
+3 0 2 0 0 43 48 64 1.05
+3 0 2 0 0 44 48 64 1.2
+3 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 -1.35
+4 0 2 0 0 28 48 64 -1.2
+4 0 2 0 0 29 48 64 -1.05
+4 0 2 0 0 30 48 64 -0.9
+4 0 2 0 0 31 48 64 -0.75
+4 0 2 0 0 32 48 64 -0.6
+4 0 2 0 0 33 48 64 -0.45
+4 0 2 0 0 34 48 64 -0.3
+4 0 2 0 0 35 48 64 -0.15
+4 0 2 0 0 36 48 64 4.44089209850063e-16
+4 0 2 0 0 37 48 64 0.15
+4 0 2 0 0 38 48 64 0.3
+4 0 2 0 0 39 48 64 0.450000000000001
+4 0 2 0 0 40 48 64 0.600000000000001
+4 0 2 0 0 41 48 64 0.750000000000001
+4 0 2 0 0 42 48 64 0.900000000000001
+4 0 2 0 0 43 48 64 1.05
+4 0 2 0 0 44 48 64 1.2
+4 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 -2.7
+4 0 1 0 0 20 48 64 -2.4
+4 0 1 0 0 22 48 64 -2.1
+4 0 1 0 0 24 48 64 -1.8
+4 0 1 0 0 26 48 64 -1.5
+4 0 1 0 0 28 48 64 -1.2
+4 0 1 0 0 30 48 64 -0.9
+4 0 1 0 0 32 48 64 -0.6
+4 0 1 0 0 34 48 64 -0.3
+4 0 1 0 0 36 48 64 4.44089209850063e-16
+4 0 1 0 0 38 48 64 0.3
+4 0 1 0 0 40 48 64 0.600000000000001
+4 0 1 0 0 42 48 64 0.900000000000001
+4 0 1 0 0 44 48 64 1.2
+4 0 1 0 0 46 48 64 1.5
+4 0 1 0 0 48 48 64 1.8
+4 0 1 0 0 50 48 64 2.1
+4 0 1 0 0 52 48 64 2.4
+4 0 1 0 0 54 48 64 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -5.4
+4 0 0 0 0 4 48 64 -4.8
+4 0 0 0 0 8 48 64 -4.2
+4 0 0 0 0 12 48 64 -3.6
+4 0 0 0 0 16 48 64 -3
+4 0 0 0 0 20 48 64 -2.4
+4 0 0 0 0 24 48 64 -1.8
+4 0 0 0 0 28 48 64 -1.2
+4 0 0 0 0 32 48 64 -0.6
+4 0 0 0 0 36 48 64 4.44089209850063e-16
+4 0 0 0 0 40 48 64 0.600000000000001
+4 0 0 0 0 44 48 64 1.2
+4 0 0 0 0 48 48 64 1.8
+4 0 0 0 0 52 48 64 2.4
+4 0 0 0 0 56 48 64 3
+4 0 0 0 0 60 48 64 3.6
+4 0 0 0 0 64 48 64 4.2
+4 0 0 0 0 68 48 64 4.8
+4 0 0 0 0 72 48 64 5.4
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 -1.35
+5 0 2 0 0 28 48 64 -1.2
+5 0 2 0 0 29 48 64 -1.05
+5 0 2 0 0 30 48 64 -0.9
+5 0 2 0 0 31 48 64 -0.75
+5 0 2 0 0 32 48 64 -0.6
+5 0 2 0 0 33 48 64 -0.45
+5 0 2 0 0 34 48 64 -0.3
+5 0 2 0 0 35 48 64 -0.15
+5 0 2 0 0 36 48 64 4.44089209850063e-16
+5 0 2 0 0 37 48 64 0.15
+5 0 2 0 0 38 48 64 0.3
+5 0 2 0 0 39 48 64 0.450000000000001
+5 0 2 0 0 40 48 64 0.600000000000001
+5 0 2 0 0 41 48 64 0.750000000000001
+5 0 2 0 0 42 48 64 0.900000000000001
+5 0 2 0 0 43 48 64 1.05
+5 0 2 0 0 44 48 64 1.2
+5 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 -1.35
+6 0 2 0 0 28 48 64 -1.2
+6 0 2 0 0 29 48 64 -1.05
+6 0 2 0 0 30 48 64 -0.9
+6 0 2 0 0 31 48 64 -0.75
+6 0 2 0 0 32 48 64 -0.6
+6 0 2 0 0 33 48 64 -0.45
+6 0 2 0 0 34 48 64 -0.3
+6 0 2 0 0 35 48 64 -0.15
+6 0 2 0 0 36 48 64 4.44089209850063e-16
+6 0 2 0 0 37 48 64 0.15
+6 0 2 0 0 38 48 64 0.3
+6 0 2 0 0 39 48 64 0.450000000000001
+6 0 2 0 0 40 48 64 0.600000000000001
+6 0 2 0 0 41 48 64 0.750000000000001
+6 0 2 0 0 42 48 64 0.900000000000001
+6 0 2 0 0 43 48 64 1.05
+6 0 2 0 0 44 48 64 1.2
+6 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 -2.7
+6 0 1 0 0 20 48 64 -2.4
+6 0 1 0 0 22 48 64 -2.1
+6 0 1 0 0 24 48 64 -1.8
+6 0 1 0 0 26 48 64 -1.5
+6 0 1 0 0 28 48 64 -1.2
+6 0 1 0 0 30 48 64 -0.9
+6 0 1 0 0 32 48 64 -0.6
+6 0 1 0 0 34 48 64 -0.3
+6 0 1 0 0 36 48 64 4.44089209850063e-16
+6 0 1 0 0 38 48 64 0.3
+6 0 1 0 0 40 48 64 0.600000000000001
+6 0 1 0 0 42 48 64 0.900000000000001
+6 0 1 0 0 44 48 64 1.2
+6 0 1 0 0 46 48 64 1.5
+6 0 1 0 0 48 48 64 1.8
+6 0 1 0 0 50 48 64 2.1
+6 0 1 0 0 52 48 64 2.4
+6 0 1 0 0 54 48 64 2.7
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 -1.35
+7 0 2 0 0 28 48 64 -1.2
+7 0 2 0 0 29 48 64 -1.05
+7 0 2 0 0 30 48 64 -0.9
+7 0 2 0 0 31 48 64 -0.75
+7 0 2 0 0 32 48 64 -0.6
+7 0 2 0 0 33 48 64 -0.45
+7 0 2 0 0 34 48 64 -0.3
+7 0 2 0 0 35 48 64 -0.15
+7 0 2 0 0 36 48 64 4.44089209850063e-16
+7 0 2 0 0 37 48 64 0.15
+7 0 2 0 0 38 48 64 0.3
+7 0 2 0 0 39 48 64 0.450000000000001
+7 0 2 0 0 40 48 64 0.600000000000001
+7 0 2 0 0 41 48 64 0.750000000000001
+7 0 2 0 0 42 48 64 0.900000000000001
+7 0 2 0 0 43 48 64 1.05
+7 0 2 0 0 44 48 64 1.2
+7 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 -1.35
+8 0 2 0 0 28 48 64 -1.2
+8 0 2 0 0 29 48 64 -1.05
+8 0 2 0 0 30 48 64 -0.9
+8 0 2 0 0 31 48 64 -0.75
+8 0 2 0 0 32 48 64 -0.6
+8 0 2 0 0 33 48 64 -0.45
+8 0 2 0 0 34 48 64 -0.3
+8 0 2 0 0 35 48 64 -0.15
+8 0 2 0 0 36 48 64 4.44089209850063e-16
+8 0 2 0 0 37 48 64 0.15
+8 0 2 0 0 38 48 64 0.3
+8 0 2 0 0 39 48 64 0.450000000000001
+8 0 2 0 0 40 48 64 0.600000000000001
+8 0 2 0 0 41 48 64 0.750000000000001
+8 0 2 0 0 42 48 64 0.900000000000001
+8 0 2 0 0 43 48 64 1.05
+8 0 2 0 0 44 48 64 1.2
+8 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 -2.7
+8 0 1 0 0 20 48 64 -2.4
+8 0 1 0 0 22 48 64 -2.1
+8 0 1 0 0 24 48 64 -1.8
+8 0 1 0 0 26 48 64 -1.5
+8 0 1 0 0 28 48 64 -1.2
+8 0 1 0 0 30 48 64 -0.9
+8 0 1 0 0 32 48 64 -0.6
+8 0 1 0 0 34 48 64 -0.3
+8 0 1 0 0 36 48 64 4.44089209850063e-16
+8 0 1 0 0 38 48 64 0.3
+8 0 1 0 0 40 48 64 0.600000000000001
+8 0 1 0 0 42 48 64 0.900000000000001
+8 0 1 0 0 44 48 64 1.2
+8 0 1 0 0 46 48 64 1.5
+8 0 1 0 0 48 48 64 1.8
+8 0 1 0 0 50 48 64 2.1
+8 0 1 0 0 52 48 64 2.4
+8 0 1 0 0 54 48 64 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -5.4
+8 0 0 0 0 4 48 64 -4.8
+8 0 0 0 0 8 48 64 -4.2
+8 0 0 0 0 12 48 64 -3.6
+8 0 0 0 0 16 48 64 -3
+8 0 0 0 0 20 48 64 -2.4
+8 0 0 0 0 24 48 64 -1.8
+8 0 0 0 0 28 48 64 -1.2
+8 0 0 0 0 32 48 64 -0.6
+8 0 0 0 0 36 48 64 4.44089209850063e-16
+8 0 0 0 0 40 48 64 0.600000000000001
+8 0 0 0 0 44 48 64 1.2
+8 0 0 0 0 48 48 64 1.8
+8 0 0 0 0 52 48 64 2.4
+8 0 0 0 0 56 48 64 3
+8 0 0 0 0 60 48 64 3.6
+8 0 0 0 0 64 48 64 4.2
+8 0 0 0 0 68 48 64 4.8
+8 0 0 0 0 72 48 64 5.4
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 -1.35
+9 0 2 0 0 28 48 64 -1.2
+9 0 2 0 0 29 48 64 -1.05
+9 0 2 0 0 30 48 64 -0.9
+9 0 2 0 0 31 48 64 -0.75
+9 0 2 0 0 32 48 64 -0.6
+9 0 2 0 0 33 48 64 -0.45
+9 0 2 0 0 34 48 64 -0.3
+9 0 2 0 0 35 48 64 -0.15
+9 0 2 0 0 36 48 64 4.44089209850063e-16
+9 0 2 0 0 37 48 64 0.15
+9 0 2 0 0 38 48 64 0.3
+9 0 2 0 0 39 48 64 0.450000000000001
+9 0 2 0 0 40 48 64 0.600000000000001
+9 0 2 0 0 41 48 64 0.750000000000001
+9 0 2 0 0 42 48 64 0.900000000000001
+9 0 2 0 0 43 48 64 1.05
+9 0 2 0 0 44 48 64 1.2
+9 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 -1.35
+10 0 2 0 0 28 48 64 -1.2
+10 0 2 0 0 29 48 64 -1.05
+10 0 2 0 0 30 48 64 -0.9
+10 0 2 0 0 31 48 64 -0.75
+10 0 2 0 0 32 48 64 -0.6
+10 0 2 0 0 33 48 64 -0.45
+10 0 2 0 0 34 48 64 -0.3
+10 0 2 0 0 35 48 64 -0.15
+10 0 2 0 0 36 48 64 4.44089209850063e-16
+10 0 2 0 0 37 48 64 0.15
+10 0 2 0 0 38 48 64 0.3
+10 0 2 0 0 39 48 64 0.450000000000001
+10 0 2 0 0 40 48 64 0.600000000000001
+10 0 2 0 0 41 48 64 0.750000000000001
+10 0 2 0 0 42 48 64 0.900000000000001
+10 0 2 0 0 43 48 64 1.05
+10 0 2 0 0 44 48 64 1.2
+10 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 -2.7
+10 0 1 0 0 20 48 64 -2.4
+10 0 1 0 0 22 48 64 -2.1
+10 0 1 0 0 24 48 64 -1.8
+10 0 1 0 0 26 48 64 -1.5
+10 0 1 0 0 28 48 64 -1.2
+10 0 1 0 0 30 48 64 -0.9
+10 0 1 0 0 32 48 64 -0.6
+10 0 1 0 0 34 48 64 -0.3
+10 0 1 0 0 36 48 64 4.44089209850063e-16
+10 0 1 0 0 38 48 64 0.3
+10 0 1 0 0 40 48 64 0.600000000000001
+10 0 1 0 0 42 48 64 0.900000000000001
+10 0 1 0 0 44 48 64 1.2
+10 0 1 0 0 46 48 64 1.5
+10 0 1 0 0 48 48 64 1.8
+10 0 1 0 0 50 48 64 2.1
+10 0 1 0 0 52 48 64 2.4
+10 0 1 0 0 54 48 64 2.7
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 -1.35
+11 0 2 0 0 28 48 64 -1.2
+11 0 2 0 0 29 48 64 -1.05
+11 0 2 0 0 30 48 64 -0.9
+11 0 2 0 0 31 48 64 -0.75
+11 0 2 0 0 32 48 64 -0.6
+11 0 2 0 0 33 48 64 -0.45
+11 0 2 0 0 34 48 64 -0.3
+11 0 2 0 0 35 48 64 -0.15
+11 0 2 0 0 36 48 64 4.44089209850063e-16
+11 0 2 0 0 37 48 64 0.15
+11 0 2 0 0 38 48 64 0.3
+11 0 2 0 0 39 48 64 0.450000000000001
+11 0 2 0 0 40 48 64 0.600000000000001
+11 0 2 0 0 41 48 64 0.750000000000001
+11 0 2 0 0 42 48 64 0.900000000000001
+11 0 2 0 0 43 48 64 1.05
+11 0 2 0 0 44 48 64 1.2
+11 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 -1.35
+12 0 2 0 0 28 48 64 -1.2
+12 0 2 0 0 29 48 64 -1.05
+12 0 2 0 0 30 48 64 -0.9
+12 0 2 0 0 31 48 64 -0.75
+12 0 2 0 0 32 48 64 -0.6
+12 0 2 0 0 33 48 64 -0.45
+12 0 2 0 0 34 48 64 -0.3
+12 0 2 0 0 35 48 64 -0.15
+12 0 2 0 0 36 48 64 4.44089209850063e-16
+12 0 2 0 0 37 48 64 0.15
+12 0 2 0 0 38 48 64 0.3
+12 0 2 0 0 39 48 64 0.450000000000001
+12 0 2 0 0 40 48 64 0.600000000000001
+12 0 2 0 0 41 48 64 0.750000000000001
+12 0 2 0 0 42 48 64 0.900000000000001
+12 0 2 0 0 43 48 64 1.05
+12 0 2 0 0 44 48 64 1.2
+12 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 -2.7
+12 0 1 0 0 20 48 64 -2.4
+12 0 1 0 0 22 48 64 -2.1
+12 0 1 0 0 24 48 64 -1.8
+12 0 1 0 0 26 48 64 -1.5
+12 0 1 0 0 28 48 64 -1.2
+12 0 1 0 0 30 48 64 -0.9
+12 0 1 0 0 32 48 64 -0.6
+12 0 1 0 0 34 48 64 -0.3
+12 0 1 0 0 36 48 64 4.44089209850063e-16
+12 0 1 0 0 38 48 64 0.3
+12 0 1 0 0 40 48 64 0.600000000000001
+12 0 1 0 0 42 48 64 0.900000000000001
+12 0 1 0 0 44 48 64 1.2
+12 0 1 0 0 46 48 64 1.5
+12 0 1 0 0 48 48 64 1.8
+12 0 1 0 0 50 48 64 2.1
+12 0 1 0 0 52 48 64 2.4
+12 0 1 0 0 54 48 64 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -5.4
+12 0 0 0 0 4 48 64 -4.8
+12 0 0 0 0 8 48 64 -4.2
+12 0 0 0 0 12 48 64 -3.6
+12 0 0 0 0 16 48 64 -3
+12 0 0 0 0 20 48 64 -2.4
+12 0 0 0 0 24 48 64 -1.8
+12 0 0 0 0 28 48 64 -1.2
+12 0 0 0 0 32 48 64 -0.6
+12 0 0 0 0 36 48 64 4.44089209850063e-16
+12 0 0 0 0 40 48 64 0.600000000000001
+12 0 0 0 0 44 48 64 1.2
+12 0 0 0 0 48 48 64 1.8
+12 0 0 0 0 52 48 64 2.4
+12 0 0 0 0 56 48 64 3
+12 0 0 0 0 60 48 64 3.6
+12 0 0 0 0 64 48 64 4.2
+12 0 0 0 0 68 48 64 4.8
+12 0 0 0 0 72 48 64 5.4
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 -1.35
+13 0 2 0 0 28 48 64 -1.2
+13 0 2 0 0 29 48 64 -1.05
+13 0 2 0 0 30 48 64 -0.9
+13 0 2 0 0 31 48 64 -0.75
+13 0 2 0 0 32 48 64 -0.6
+13 0 2 0 0 33 48 64 -0.45
+13 0 2 0 0 34 48 64 -0.3
+13 0 2 0 0 35 48 64 -0.15
+13 0 2 0 0 36 48 64 4.44089209850063e-16
+13 0 2 0 0 37 48 64 0.15
+13 0 2 0 0 38 48 64 0.3
+13 0 2 0 0 39 48 64 0.450000000000001
+13 0 2 0 0 40 48 64 0.600000000000001
+13 0 2 0 0 41 48 64 0.750000000000001
+13 0 2 0 0 42 48 64 0.900000000000001
+13 0 2 0 0 43 48 64 1.05
+13 0 2 0 0 44 48 64 1.2
+13 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 -1.35
+14 0 2 0 0 28 48 64 -1.2
+14 0 2 0 0 29 48 64 -1.05
+14 0 2 0 0 30 48 64 -0.9
+14 0 2 0 0 31 48 64 -0.75
+14 0 2 0 0 32 48 64 -0.6
+14 0 2 0 0 33 48 64 -0.45
+14 0 2 0 0 34 48 64 -0.3
+14 0 2 0 0 35 48 64 -0.15
+14 0 2 0 0 36 48 64 4.44089209850063e-16
+14 0 2 0 0 37 48 64 0.15
+14 0 2 0 0 38 48 64 0.3
+14 0 2 0 0 39 48 64 0.450000000000001
+14 0 2 0 0 40 48 64 0.600000000000001
+14 0 2 0 0 41 48 64 0.750000000000001
+14 0 2 0 0 42 48 64 0.900000000000001
+14 0 2 0 0 43 48 64 1.05
+14 0 2 0 0 44 48 64 1.2
+14 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 -2.7
+14 0 1 0 0 20 48 64 -2.4
+14 0 1 0 0 22 48 64 -2.1
+14 0 1 0 0 24 48 64 -1.8
+14 0 1 0 0 26 48 64 -1.5
+14 0 1 0 0 28 48 64 -1.2
+14 0 1 0 0 30 48 64 -0.9
+14 0 1 0 0 32 48 64 -0.6
+14 0 1 0 0 34 48 64 -0.3
+14 0 1 0 0 36 48 64 4.44089209850063e-16
+14 0 1 0 0 38 48 64 0.3
+14 0 1 0 0 40 48 64 0.600000000000001
+14 0 1 0 0 42 48 64 0.900000000000001
+14 0 1 0 0 44 48 64 1.2
+14 0 1 0 0 46 48 64 1.5
+14 0 1 0 0 48 48 64 1.8
+14 0 1 0 0 50 48 64 2.1
+14 0 1 0 0 52 48 64 2.4
+14 0 1 0 0 54 48 64 2.7
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 -1.35
+15 0 2 0 0 28 48 64 -1.2
+15 0 2 0 0 29 48 64 -1.05
+15 0 2 0 0 30 48 64 -0.9
+15 0 2 0 0 31 48 64 -0.75
+15 0 2 0 0 32 48 64 -0.6
+15 0 2 0 0 33 48 64 -0.45
+15 0 2 0 0 34 48 64 -0.3
+15 0 2 0 0 35 48 64 -0.15
+15 0 2 0 0 36 48 64 4.44089209850063e-16
+15 0 2 0 0 37 48 64 0.15
+15 0 2 0 0 38 48 64 0.3
+15 0 2 0 0 39 48 64 0.450000000000001
+15 0 2 0 0 40 48 64 0.600000000000001
+15 0 2 0 0 41 48 64 0.750000000000001
+15 0 2 0 0 42 48 64 0.900000000000001
+15 0 2 0 0 43 48 64 1.05
+15 0 2 0 0 44 48 64 1.2
+15 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 -1.35
+16 0 2 0 0 28 48 64 -1.2
+16 0 2 0 0 29 48 64 -1.05
+16 0 2 0 0 30 48 64 -0.9
+16 0 2 0 0 31 48 64 -0.75
+16 0 2 0 0 32 48 64 -0.6
+16 0 2 0 0 33 48 64 -0.45
+16 0 2 0 0 34 48 64 -0.3
+16 0 2 0 0 35 48 64 -0.15
+16 0 2 0 0 36 48 64 4.44089209850063e-16
+16 0 2 0 0 37 48 64 0.15
+16 0 2 0 0 38 48 64 0.3
+16 0 2 0 0 39 48 64 0.450000000000001
+16 0 2 0 0 40 48 64 0.600000000000001
+16 0 2 0 0 41 48 64 0.750000000000001
+16 0 2 0 0 42 48 64 0.900000000000001
+16 0 2 0 0 43 48 64 1.05
+16 0 2 0 0 44 48 64 1.2
+16 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 -2.7
+16 0 1 0 0 20 48 64 -2.4
+16 0 1 0 0 22 48 64 -2.1
+16 0 1 0 0 24 48 64 -1.8
+16 0 1 0 0 26 48 64 -1.5
+16 0 1 0 0 28 48 64 -1.2
+16 0 1 0 0 30 48 64 -0.9
+16 0 1 0 0 32 48 64 -0.6
+16 0 1 0 0 34 48 64 -0.3
+16 0 1 0 0 36 48 64 4.44089209850063e-16
+16 0 1 0 0 38 48 64 0.3
+16 0 1 0 0 40 48 64 0.600000000000001
+16 0 1 0 0 42 48 64 0.900000000000001
+16 0 1 0 0 44 48 64 1.2
+16 0 1 0 0 46 48 64 1.5
+16 0 1 0 0 48 48 64 1.8
+16 0 1 0 0 50 48 64 2.1
+16 0 1 0 0 52 48 64 2.4
+16 0 1 0 0 54 48 64 2.7
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -5.4
+16 0 0 0 0 4 48 64 -4.8
+16 0 0 0 0 8 48 64 -4.2
+16 0 0 0 0 12 48 64 -3.6
+16 0 0 0 0 16 48 64 -3
+16 0 0 0 0 20 48 64 -2.4
+16 0 0 0 0 24 48 64 -1.8
+16 0 0 0 0 28 48 64 -1.2
+16 0 0 0 0 32 48 64 -0.6
+16 0 0 0 0 36 48 64 4.44089209850063e-16
+16 0 0 0 0 40 48 64 0.600000000000001
+16 0 0 0 0 44 48 64 1.2
+16 0 0 0 0 48 48 64 1.8
+16 0 0 0 0 52 48 64 2.4
+16 0 0 0 0 56 48 64 3
+16 0 0 0 0 60 48 64 3.6
+16 0 0 0 0 64 48 64 4.2
+16 0 0 0 0 68 48 64 4.8
+16 0 0 0 0 72 48 64 5.4
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 -1.35
+17 0 2 0 0 28 48 64 -1.2
+17 0 2 0 0 29 48 64 -1.05
+17 0 2 0 0 30 48 64 -0.9
+17 0 2 0 0 31 48 64 -0.75
+17 0 2 0 0 32 48 64 -0.6
+17 0 2 0 0 33 48 64 -0.45
+17 0 2 0 0 34 48 64 -0.3
+17 0 2 0 0 35 48 64 -0.15
+17 0 2 0 0 36 48 64 4.44089209850063e-16
+17 0 2 0 0 37 48 64 0.15
+17 0 2 0 0 38 48 64 0.3
+17 0 2 0 0 39 48 64 0.450000000000001
+17 0 2 0 0 40 48 64 0.600000000000001
+17 0 2 0 0 41 48 64 0.750000000000001
+17 0 2 0 0 42 48 64 0.900000000000001
+17 0 2 0 0 43 48 64 1.05
+17 0 2 0 0 44 48 64 1.2
+17 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 -1.35
+18 0 2 0 0 28 48 64 -1.2
+18 0 2 0 0 29 48 64 -1.05
+18 0 2 0 0 30 48 64 -0.9
+18 0 2 0 0 31 48 64 -0.75
+18 0 2 0 0 32 48 64 -0.6
+18 0 2 0 0 33 48 64 -0.45
+18 0 2 0 0 34 48 64 -0.3
+18 0 2 0 0 35 48 64 -0.15
+18 0 2 0 0 36 48 64 4.44089209850063e-16
+18 0 2 0 0 37 48 64 0.15
+18 0 2 0 0 38 48 64 0.3
+18 0 2 0 0 39 48 64 0.450000000000001
+18 0 2 0 0 40 48 64 0.600000000000001
+18 0 2 0 0 41 48 64 0.750000000000001
+18 0 2 0 0 42 48 64 0.900000000000001
+18 0 2 0 0 43 48 64 1.05
+18 0 2 0 0 44 48 64 1.2
+18 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 -2.7
+18 0 1 0 0 20 48 64 -2.4
+18 0 1 0 0 22 48 64 -2.1
+18 0 1 0 0 24 48 64 -1.8
+18 0 1 0 0 26 48 64 -1.5
+18 0 1 0 0 28 48 64 -1.2
+18 0 1 0 0 30 48 64 -0.9
+18 0 1 0 0 32 48 64 -0.6
+18 0 1 0 0 34 48 64 -0.3
+18 0 1 0 0 36 48 64 4.44089209850063e-16
+18 0 1 0 0 38 48 64 0.3
+18 0 1 0 0 40 48 64 0.600000000000001
+18 0 1 0 0 42 48 64 0.900000000000001
+18 0 1 0 0 44 48 64 1.2
+18 0 1 0 0 46 48 64 1.5
+18 0 1 0 0 48 48 64 1.8
+18 0 1 0 0 50 48 64 2.1
+18 0 1 0 0 52 48 64 2.4
+18 0 1 0 0 54 48 64 2.7
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 -1.35
+19 0 2 0 0 28 48 64 -1.2
+19 0 2 0 0 29 48 64 -1.05
+19 0 2 0 0 30 48 64 -0.9
+19 0 2 0 0 31 48 64 -0.75
+19 0 2 0 0 32 48 64 -0.6
+19 0 2 0 0 33 48 64 -0.45
+19 0 2 0 0 34 48 64 -0.3
+19 0 2 0 0 35 48 64 -0.15
+19 0 2 0 0 36 48 64 4.44089209850063e-16
+19 0 2 0 0 37 48 64 0.15
+19 0 2 0 0 38 48 64 0.3
+19 0 2 0 0 39 48 64 0.450000000000001
+19 0 2 0 0 40 48 64 0.600000000000001
+19 0 2 0 0 41 48 64 0.750000000000001
+19 0 2 0 0 42 48 64 0.900000000000001
+19 0 2 0 0 43 48 64 1.05
+19 0 2 0 0 44 48 64 1.2
+19 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 -1.35
+20 0 2 0 0 28 48 64 -1.2
+20 0 2 0 0 29 48 64 -1.05
+20 0 2 0 0 30 48 64 -0.9
+20 0 2 0 0 31 48 64 -0.75
+20 0 2 0 0 32 48 64 -0.6
+20 0 2 0 0 33 48 64 -0.45
+20 0 2 0 0 34 48 64 -0.3
+20 0 2 0 0 35 48 64 -0.15
+20 0 2 0 0 36 48 64 4.44089209850063e-16
+20 0 2 0 0 37 48 64 0.15
+20 0 2 0 0 38 48 64 0.3
+20 0 2 0 0 39 48 64 0.450000000000001
+20 0 2 0 0 40 48 64 0.600000000000001
+20 0 2 0 0 41 48 64 0.750000000000001
+20 0 2 0 0 42 48 64 0.900000000000001
+20 0 2 0 0 43 48 64 1.05
+20 0 2 0 0 44 48 64 1.2
+20 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 -2.7
+20 0 1 0 0 20 48 64 -2.4
+20 0 1 0 0 22 48 64 -2.1
+20 0 1 0 0 24 48 64 -1.8
+20 0 1 0 0 26 48 64 -1.5
+20 0 1 0 0 28 48 64 -1.2
+20 0 1 0 0 30 48 64 -0.9
+20 0 1 0 0 32 48 64 -0.6
+20 0 1 0 0 34 48 64 -0.3
+20 0 1 0 0 36 48 64 4.44089209850063e-16
+20 0 1 0 0 38 48 64 0.3
+20 0 1 0 0 40 48 64 0.600000000000001
+20 0 1 0 0 42 48 64 0.900000000000001
+20 0 1 0 0 44 48 64 1.2
+20 0 1 0 0 46 48 64 1.5
+20 0 1 0 0 48 48 64 1.8
+20 0 1 0 0 50 48 64 2.1
+20 0 1 0 0 52 48 64 2.4
+20 0 1 0 0 54 48 64 2.7
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -5.4
+20 0 0 0 0 4 48 64 -4.8
+20 0 0 0 0 8 48 64 -4.2
+20 0 0 0 0 12 48 64 -3.6
+20 0 0 0 0 16 48 64 -3
+20 0 0 0 0 20 48 64 -2.4
+20 0 0 0 0 24 48 64 -1.8
+20 0 0 0 0 28 48 64 -1.2
+20 0 0 0 0 32 48 64 -0.6
+20 0 0 0 0 36 48 64 4.44089209850063e-16
+20 0 0 0 0 40 48 64 0.600000000000001
+20 0 0 0 0 44 48 64 1.2
+20 0 0 0 0 48 48 64 1.8
+20 0 0 0 0 52 48 64 2.4
+20 0 0 0 0 56 48 64 3
+20 0 0 0 0 60 48 64 3.6
+20 0 0 0 0 64 48 64 4.2
+20 0 0 0 0 68 48 64 4.8
+20 0 0 0 0 72 48 64 5.4
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 -1.35
+21 0 2 0 0 28 48 64 -1.2
+21 0 2 0 0 29 48 64 -1.05
+21 0 2 0 0 30 48 64 -0.9
+21 0 2 0 0 31 48 64 -0.75
+21 0 2 0 0 32 48 64 -0.6
+21 0 2 0 0 33 48 64 -0.45
+21 0 2 0 0 34 48 64 -0.3
+21 0 2 0 0 35 48 64 -0.15
+21 0 2 0 0 36 48 64 4.44089209850063e-16
+21 0 2 0 0 37 48 64 0.15
+21 0 2 0 0 38 48 64 0.3
+21 0 2 0 0 39 48 64 0.450000000000001
+21 0 2 0 0 40 48 64 0.600000000000001
+21 0 2 0 0 41 48 64 0.750000000000001
+21 0 2 0 0 42 48 64 0.900000000000001
+21 0 2 0 0 43 48 64 1.05
+21 0 2 0 0 44 48 64 1.2
+21 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 -1.35
+22 0 2 0 0 28 48 64 -1.2
+22 0 2 0 0 29 48 64 -1.05
+22 0 2 0 0 30 48 64 -0.9
+22 0 2 0 0 31 48 64 -0.75
+22 0 2 0 0 32 48 64 -0.6
+22 0 2 0 0 33 48 64 -0.45
+22 0 2 0 0 34 48 64 -0.3
+22 0 2 0 0 35 48 64 -0.15
+22 0 2 0 0 36 48 64 4.44089209850063e-16
+22 0 2 0 0 37 48 64 0.15
+22 0 2 0 0 38 48 64 0.3
+22 0 2 0 0 39 48 64 0.450000000000001
+22 0 2 0 0 40 48 64 0.600000000000001
+22 0 2 0 0 41 48 64 0.750000000000001
+22 0 2 0 0 42 48 64 0.900000000000001
+22 0 2 0 0 43 48 64 1.05
+22 0 2 0 0 44 48 64 1.2
+22 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 -2.7
+22 0 1 0 0 20 48 64 -2.4
+22 0 1 0 0 22 48 64 -2.1
+22 0 1 0 0 24 48 64 -1.8
+22 0 1 0 0 26 48 64 -1.5
+22 0 1 0 0 28 48 64 -1.2
+22 0 1 0 0 30 48 64 -0.9
+22 0 1 0 0 32 48 64 -0.6
+22 0 1 0 0 34 48 64 -0.3
+22 0 1 0 0 36 48 64 4.44089209850063e-16
+22 0 1 0 0 38 48 64 0.3
+22 0 1 0 0 40 48 64 0.600000000000001
+22 0 1 0 0 42 48 64 0.900000000000001
+22 0 1 0 0 44 48 64 1.2
+22 0 1 0 0 46 48 64 1.5
+22 0 1 0 0 48 48 64 1.8
+22 0 1 0 0 50 48 64 2.1
+22 0 1 0 0 52 48 64 2.4
+22 0 1 0 0 54 48 64 2.7
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 -1.35
+23 0 2 0 0 28 48 64 -1.2
+23 0 2 0 0 29 48 64 -1.05
+23 0 2 0 0 30 48 64 -0.9
+23 0 2 0 0 31 48 64 -0.75
+23 0 2 0 0 32 48 64 -0.6
+23 0 2 0 0 33 48 64 -0.45
+23 0 2 0 0 34 48 64 -0.3
+23 0 2 0 0 35 48 64 -0.15
+23 0 2 0 0 36 48 64 4.44089209850063e-16
+23 0 2 0 0 37 48 64 0.15
+23 0 2 0 0 38 48 64 0.3
+23 0 2 0 0 39 48 64 0.450000000000001
+23 0 2 0 0 40 48 64 0.600000000000001
+23 0 2 0 0 41 48 64 0.750000000000001
+23 0 2 0 0 42 48 64 0.900000000000001
+23 0 2 0 0 43 48 64 1.05
+23 0 2 0 0 44 48 64 1.2
+23 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 -1.35
+24 0 2 0 0 28 48 64 -1.2
+24 0 2 0 0 29 48 64 -1.05
+24 0 2 0 0 30 48 64 -0.9
+24 0 2 0 0 31 48 64 -0.75
+24 0 2 0 0 32 48 64 -0.6
+24 0 2 0 0 33 48 64 -0.45
+24 0 2 0 0 34 48 64 -0.3
+24 0 2 0 0 35 48 64 -0.15
+24 0 2 0 0 36 48 64 4.44089209850063e-16
+24 0 2 0 0 37 48 64 0.15
+24 0 2 0 0 38 48 64 0.3
+24 0 2 0 0 39 48 64 0.450000000000001
+24 0 2 0 0 40 48 64 0.600000000000001
+24 0 2 0 0 41 48 64 0.750000000000001
+24 0 2 0 0 42 48 64 0.900000000000001
+24 0 2 0 0 43 48 64 1.05
+24 0 2 0 0 44 48 64 1.2
+24 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 -2.7
+24 0 1 0 0 20 48 64 -2.4
+24 0 1 0 0 22 48 64 -2.1
+24 0 1 0 0 24 48 64 -1.8
+24 0 1 0 0 26 48 64 -1.5
+24 0 1 0 0 28 48 64 -1.2
+24 0 1 0 0 30 48 64 -0.9
+24 0 1 0 0 32 48 64 -0.6
+24 0 1 0 0 34 48 64 -0.3
+24 0 1 0 0 36 48 64 4.44089209850063e-16
+24 0 1 0 0 38 48 64 0.3
+24 0 1 0 0 40 48 64 0.600000000000001
+24 0 1 0 0 42 48 64 0.900000000000001
+24 0 1 0 0 44 48 64 1.2
+24 0 1 0 0 46 48 64 1.5
+24 0 1 0 0 48 48 64 1.8
+24 0 1 0 0 50 48 64 2.1
+24 0 1 0 0 52 48 64 2.4
+24 0 1 0 0 54 48 64 2.7
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -5.4
+24 0 0 0 0 4 48 64 -4.8
+24 0 0 0 0 8 48 64 -4.2
+24 0 0 0 0 12 48 64 -3.6
+24 0 0 0 0 16 48 64 -3
+24 0 0 0 0 20 48 64 -2.4
+24 0 0 0 0 24 48 64 -1.8
+24 0 0 0 0 28 48 64 -1.2
+24 0 0 0 0 32 48 64 -0.6
+24 0 0 0 0 36 48 64 4.44089209850063e-16
+24 0 0 0 0 40 48 64 0.600000000000001
+24 0 0 0 0 44 48 64 1.2
+24 0 0 0 0 48 48 64 1.8
+24 0 0 0 0 52 48 64 2.4
+24 0 0 0 0 56 48 64 3
+24 0 0 0 0 60 48 64 3.6
+24 0 0 0 0 64 48 64 4.2
+24 0 0 0 0 68 48 64 4.8
+24 0 0 0 0 72 48 64 5.4
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.yl
new file mode 100644
index 000000000..a918a2185
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.yl
@@ -0,0 +1,1397 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 4.44089209850063e-16
+0 0 2 0 0 36 40 64 4.44089209850063e-16
+0 0 2 0 0 36 41 64 4.44089209850063e-16
+0 0 2 0 0 36 42 64 4.44089209850063e-16
+0 0 2 0 0 36 43 64 4.44089209850063e-16
+0 0 2 0 0 36 44 64 4.44089209850063e-16
+0 0 2 0 0 36 45 64 4.44089209850063e-16
+0 0 2 0 0 36 46 64 4.44089209850063e-16
+0 0 2 0 0 36 47 64 4.44089209850063e-16
+0 0 2 0 0 36 48 64 4.44089209850063e-16
+0 0 2 0 0 36 49 64 4.44089209850063e-16
+0 0 2 0 0 36 50 64 4.44089209850063e-16
+0 0 2 0 0 36 51 64 4.44089209850063e-16
+0 0 2 0 0 36 52 64 4.44089209850063e-16
+0 0 2 0 0 36 53 64 4.44089209850063e-16
+0 0 2 0 0 36 54 64 4.44089209850063e-16
+0 0 2 0 0 36 55 64 4.44089209850063e-16
+0 0 2 0 0 36 56 64 4.44089209850063e-16
+0 0 2 0 0 36 57 64 4.44089209850063e-16
+0 0 2 0 0 36 58 64 4.44089209850063e-16
+0 0 2 0 0 36 59 64 4.44089209850063e-16
+0 0 2 0 0 36 60 64 4.44089209850063e-16
+0 0 2 0 0 36 61 64 4.44089209850063e-16
+0 0 2 0 0 36 62 64 4.44089209850063e-16
+0 0 2 0 0 36 63 64 4.44089209850063e-16
+0 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 4.44089209850063e-16
+0 0 1 0 0 36 28 64 4.44089209850063e-16
+0 0 1 0 0 36 30 64 4.44089209850063e-16
+0 0 1 0 0 36 32 64 4.44089209850063e-16
+0 0 1 0 0 36 34 64 4.44089209850063e-16
+0 0 1 0 0 36 36 64 4.44089209850063e-16
+0 0 1 0 0 36 38 64 4.44089209850063e-16
+0 0 1 0 0 36 40 64 4.44089209850063e-16
+0 0 1 0 0 36 42 64 4.44089209850063e-16
+0 0 1 0 0 36 44 64 4.44089209850063e-16
+0 0 1 0 0 36 46 64 4.44089209850063e-16
+0 0 1 0 0 36 48 64 4.44089209850063e-16
+0 0 1 0 0 36 50 64 4.44089209850063e-16
+0 0 1 0 0 36 52 64 4.44089209850063e-16
+0 0 1 0 0 36 54 64 4.44089209850063e-16
+0 0 1 0 0 36 56 64 4.44089209850063e-16
+0 0 1 0 0 36 58 64 4.44089209850063e-16
+0 0 1 0 0 36 60 64 4.44089209850063e-16
+0 0 1 0 0 36 62 64 4.44089209850063e-16
+0 0 1 0 0 36 64 64 4.44089209850063e-16
+0 0 1 0 0 36 66 64 4.44089209850063e-16
+0 0 1 0 0 36 68 64 4.44089209850063e-16
+0 0 1 0 0 36 70 64 4.44089209850063e-16
+0 0 1 0 0 36 72 64 4.44089209850063e-16
+0 0 1 0 0 36 74 64 4.44089209850063e-16
+0 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 4.44089209850063e-16
+0 0 0 0 0 36 4 64 4.44089209850063e-16
+0 0 0 0 0 36 8 64 4.44089209850063e-16
+0 0 0 0 0 36 12 64 4.44089209850063e-16
+0 0 0 0 0 36 16 64 4.44089209850063e-16
+0 0 0 0 0 36 20 64 4.44089209850063e-16
+0 0 0 0 0 36 24 64 4.44089209850063e-16
+0 0 0 0 0 36 28 64 4.44089209850063e-16
+0 0 0 0 0 36 32 64 4.44089209850063e-16
+0 0 0 0 0 36 36 64 4.44089209850063e-16
+0 0 0 0 0 36 40 64 4.44089209850063e-16
+0 0 0 0 0 36 44 64 4.44089209850063e-16
+0 0 0 0 0 36 48 64 4.44089209850063e-16
+0 0 0 0 0 36 52 64 4.44089209850063e-16
+0 0 0 0 0 36 56 64 4.44089209850063e-16
+0 0 0 0 0 36 60 64 4.44089209850063e-16
+0 0 0 0 0 36 64 64 4.44089209850063e-16
+0 0 0 0 0 36 68 64 4.44089209850063e-16
+0 0 0 0 0 36 72 64 4.44089209850063e-16
+0 0 0 0 0 36 76 64 4.44089209850063e-16
+0 0 0 0 0 36 80 64 4.44089209850063e-16
+0 0 0 0 0 36 84 64 4.44089209850063e-16
+0 0 0 0 0 36 88 64 4.44089209850063e-16
+0 0 0 0 0 36 92 64 4.44089209850063e-16
+0 0 0 0 0 36 96 64 4.44089209850063e-16
+0 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 4.44089209850063e-16
+1 0 2 0 0 36 40 64 4.44089209850063e-16
+1 0 2 0 0 36 41 64 4.44089209850063e-16
+1 0 2 0 0 36 42 64 4.44089209850063e-16
+1 0 2 0 0 36 43 64 4.44089209850063e-16
+1 0 2 0 0 36 44 64 4.44089209850063e-16
+1 0 2 0 0 36 45 64 4.44089209850063e-16
+1 0 2 0 0 36 46 64 4.44089209850063e-16
+1 0 2 0 0 36 47 64 4.44089209850063e-16
+1 0 2 0 0 36 48 64 4.44089209850063e-16
+1 0 2 0 0 36 49 64 4.44089209850063e-16
+1 0 2 0 0 36 50 64 4.44089209850063e-16
+1 0 2 0 0 36 51 64 4.44089209850063e-16
+1 0 2 0 0 36 52 64 4.44089209850063e-16
+1 0 2 0 0 36 53 64 4.44089209850063e-16
+1 0 2 0 0 36 54 64 4.44089209850063e-16
+1 0 2 0 0 36 55 64 4.44089209850063e-16
+1 0 2 0 0 36 56 64 4.44089209850063e-16
+1 0 2 0 0 36 57 64 4.44089209850063e-16
+1 0 2 0 0 36 58 64 4.44089209850063e-16
+1 0 2 0 0 36 59 64 4.44089209850063e-16
+1 0 2 0 0 36 60 64 4.44089209850063e-16
+1 0 2 0 0 36 61 64 4.44089209850063e-16
+1 0 2 0 0 36 62 64 4.44089209850063e-16
+1 0 2 0 0 36 63 64 4.44089209850063e-16
+1 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 4.44089209850063e-16
+2 0 2 0 0 36 40 64 4.44089209850063e-16
+2 0 2 0 0 36 41 64 4.44089209850063e-16
+2 0 2 0 0 36 42 64 4.44089209850063e-16
+2 0 2 0 0 36 43 64 4.44089209850063e-16
+2 0 2 0 0 36 44 64 4.44089209850063e-16
+2 0 2 0 0 36 45 64 4.44089209850063e-16
+2 0 2 0 0 36 46 64 4.44089209850063e-16
+2 0 2 0 0 36 47 64 4.44089209850063e-16
+2 0 2 0 0 36 48 64 4.44089209850063e-16
+2 0 2 0 0 36 49 64 4.44089209850063e-16
+2 0 2 0 0 36 50 64 4.44089209850063e-16
+2 0 2 0 0 36 51 64 4.44089209850063e-16
+2 0 2 0 0 36 52 64 4.44089209850063e-16
+2 0 2 0 0 36 53 64 4.44089209850063e-16
+2 0 2 0 0 36 54 64 4.44089209850063e-16
+2 0 2 0 0 36 55 64 4.44089209850063e-16
+2 0 2 0 0 36 56 64 4.44089209850063e-16
+2 0 2 0 0 36 57 64 4.44089209850063e-16
+2 0 2 0 0 36 58 64 4.44089209850063e-16
+2 0 2 0 0 36 59 64 4.44089209850063e-16
+2 0 2 0 0 36 60 64 4.44089209850063e-16
+2 0 2 0 0 36 61 64 4.44089209850063e-16
+2 0 2 0 0 36 62 64 4.44089209850063e-16
+2 0 2 0 0 36 63 64 4.44089209850063e-16
+2 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 4.44089209850063e-16
+2 0 1 0 0 36 28 64 4.44089209850063e-16
+2 0 1 0 0 36 30 64 4.44089209850063e-16
+2 0 1 0 0 36 32 64 4.44089209850063e-16
+2 0 1 0 0 36 34 64 4.44089209850063e-16
+2 0 1 0 0 36 36 64 4.44089209850063e-16
+2 0 1 0 0 36 38 64 4.44089209850063e-16
+2 0 1 0 0 36 40 64 4.44089209850063e-16
+2 0 1 0 0 36 42 64 4.44089209850063e-16
+2 0 1 0 0 36 44 64 4.44089209850063e-16
+2 0 1 0 0 36 46 64 4.44089209850063e-16
+2 0 1 0 0 36 48 64 4.44089209850063e-16
+2 0 1 0 0 36 50 64 4.44089209850063e-16
+2 0 1 0 0 36 52 64 4.44089209850063e-16
+2 0 1 0 0 36 54 64 4.44089209850063e-16
+2 0 1 0 0 36 56 64 4.44089209850063e-16
+2 0 1 0 0 36 58 64 4.44089209850063e-16
+2 0 1 0 0 36 60 64 4.44089209850063e-16
+2 0 1 0 0 36 62 64 4.44089209850063e-16
+2 0 1 0 0 36 64 64 4.44089209850063e-16
+2 0 1 0 0 36 66 64 4.44089209850063e-16
+2 0 1 0 0 36 68 64 4.44089209850063e-16
+2 0 1 0 0 36 70 64 4.44089209850063e-16
+2 0 1 0 0 36 72 64 4.44089209850063e-16
+2 0 1 0 0 36 74 64 4.44089209850063e-16
+2 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 4.44089209850063e-16
+3 0 2 0 0 36 40 64 4.44089209850063e-16
+3 0 2 0 0 36 41 64 4.44089209850063e-16
+3 0 2 0 0 36 42 64 4.44089209850063e-16
+3 0 2 0 0 36 43 64 4.44089209850063e-16
+3 0 2 0 0 36 44 64 4.44089209850063e-16
+3 0 2 0 0 36 45 64 4.44089209850063e-16
+3 0 2 0 0 36 46 64 4.44089209850063e-16
+3 0 2 0 0 36 47 64 4.44089209850063e-16
+3 0 2 0 0 36 48 64 4.44089209850063e-16
+3 0 2 0 0 36 49 64 4.44089209850063e-16
+3 0 2 0 0 36 50 64 4.44089209850063e-16
+3 0 2 0 0 36 51 64 4.44089209850063e-16
+3 0 2 0 0 36 52 64 4.44089209850063e-16
+3 0 2 0 0 36 53 64 4.44089209850063e-16
+3 0 2 0 0 36 54 64 4.44089209850063e-16
+3 0 2 0 0 36 55 64 4.44089209850063e-16
+3 0 2 0 0 36 56 64 4.44089209850063e-16
+3 0 2 0 0 36 57 64 4.44089209850063e-16
+3 0 2 0 0 36 58 64 4.44089209850063e-16
+3 0 2 0 0 36 59 64 4.44089209850063e-16
+3 0 2 0 0 36 60 64 4.44089209850063e-16
+3 0 2 0 0 36 61 64 4.44089209850063e-16
+3 0 2 0 0 36 62 64 4.44089209850063e-16
+3 0 2 0 0 36 63 64 4.44089209850063e-16
+3 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 4.44089209850063e-16
+4 0 2 0 0 36 40 64 4.44089209850063e-16
+4 0 2 0 0 36 41 64 4.44089209850063e-16
+4 0 2 0 0 36 42 64 4.44089209850063e-16
+4 0 2 0 0 36 43 64 4.44089209850063e-16
+4 0 2 0 0 36 44 64 4.44089209850063e-16
+4 0 2 0 0 36 45 64 4.44089209850063e-16
+4 0 2 0 0 36 46 64 4.44089209850063e-16
+4 0 2 0 0 36 47 64 4.44089209850063e-16
+4 0 2 0 0 36 48 64 4.44089209850063e-16
+4 0 2 0 0 36 49 64 4.44089209850063e-16
+4 0 2 0 0 36 50 64 4.44089209850063e-16
+4 0 2 0 0 36 51 64 4.44089209850063e-16
+4 0 2 0 0 36 52 64 4.44089209850063e-16
+4 0 2 0 0 36 53 64 4.44089209850063e-16
+4 0 2 0 0 36 54 64 4.44089209850063e-16
+4 0 2 0 0 36 55 64 4.44089209850063e-16
+4 0 2 0 0 36 56 64 4.44089209850063e-16
+4 0 2 0 0 36 57 64 4.44089209850063e-16
+4 0 2 0 0 36 58 64 4.44089209850063e-16
+4 0 2 0 0 36 59 64 4.44089209850063e-16
+4 0 2 0 0 36 60 64 4.44089209850063e-16
+4 0 2 0 0 36 61 64 4.44089209850063e-16
+4 0 2 0 0 36 62 64 4.44089209850063e-16
+4 0 2 0 0 36 63 64 4.44089209850063e-16
+4 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 4.44089209850063e-16
+4 0 1 0 0 36 28 64 4.44089209850063e-16
+4 0 1 0 0 36 30 64 4.44089209850063e-16
+4 0 1 0 0 36 32 64 4.44089209850063e-16
+4 0 1 0 0 36 34 64 4.44089209850063e-16
+4 0 1 0 0 36 36 64 4.44089209850063e-16
+4 0 1 0 0 36 38 64 4.44089209850063e-16
+4 0 1 0 0 36 40 64 4.44089209850063e-16
+4 0 1 0 0 36 42 64 4.44089209850063e-16
+4 0 1 0 0 36 44 64 4.44089209850063e-16
+4 0 1 0 0 36 46 64 4.44089209850063e-16
+4 0 1 0 0 36 48 64 4.44089209850063e-16
+4 0 1 0 0 36 50 64 4.44089209850063e-16
+4 0 1 0 0 36 52 64 4.44089209850063e-16
+4 0 1 0 0 36 54 64 4.44089209850063e-16
+4 0 1 0 0 36 56 64 4.44089209850063e-16
+4 0 1 0 0 36 58 64 4.44089209850063e-16
+4 0 1 0 0 36 60 64 4.44089209850063e-16
+4 0 1 0 0 36 62 64 4.44089209850063e-16
+4 0 1 0 0 36 64 64 4.44089209850063e-16
+4 0 1 0 0 36 66 64 4.44089209850063e-16
+4 0 1 0 0 36 68 64 4.44089209850063e-16
+4 0 1 0 0 36 70 64 4.44089209850063e-16
+4 0 1 0 0 36 72 64 4.44089209850063e-16
+4 0 1 0 0 36 74 64 4.44089209850063e-16
+4 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 4.44089209850063e-16
+4 0 0 0 0 36 4 64 4.44089209850063e-16
+4 0 0 0 0 36 8 64 4.44089209850063e-16
+4 0 0 0 0 36 12 64 4.44089209850063e-16
+4 0 0 0 0 36 16 64 4.44089209850063e-16
+4 0 0 0 0 36 20 64 4.44089209850063e-16
+4 0 0 0 0 36 24 64 4.44089209850063e-16
+4 0 0 0 0 36 28 64 4.44089209850063e-16
+4 0 0 0 0 36 32 64 4.44089209850063e-16
+4 0 0 0 0 36 36 64 4.44089209850063e-16
+4 0 0 0 0 36 40 64 4.44089209850063e-16
+4 0 0 0 0 36 44 64 4.44089209850063e-16
+4 0 0 0 0 36 48 64 4.44089209850063e-16
+4 0 0 0 0 36 52 64 4.44089209850063e-16
+4 0 0 0 0 36 56 64 4.44089209850063e-16
+4 0 0 0 0 36 60 64 4.44089209850063e-16
+4 0 0 0 0 36 64 64 4.44089209850063e-16
+4 0 0 0 0 36 68 64 4.44089209850063e-16
+4 0 0 0 0 36 72 64 4.44089209850063e-16
+4 0 0 0 0 36 76 64 4.44089209850063e-16
+4 0 0 0 0 36 80 64 4.44089209850063e-16
+4 0 0 0 0 36 84 64 4.44089209850063e-16
+4 0 0 0 0 36 88 64 4.44089209850063e-16
+4 0 0 0 0 36 92 64 4.44089209850063e-16
+4 0 0 0 0 36 96 64 4.44089209850063e-16
+4 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 4.44089209850063e-16
+5 0 2 0 0 36 40 64 4.44089209850063e-16
+5 0 2 0 0 36 41 64 4.44089209850063e-16
+5 0 2 0 0 36 42 64 4.44089209850063e-16
+5 0 2 0 0 36 43 64 4.44089209850063e-16
+5 0 2 0 0 36 44 64 4.44089209850063e-16
+5 0 2 0 0 36 45 64 4.44089209850063e-16
+5 0 2 0 0 36 46 64 4.44089209850063e-16
+5 0 2 0 0 36 47 64 4.44089209850063e-16
+5 0 2 0 0 36 48 64 4.44089209850063e-16
+5 0 2 0 0 36 49 64 4.44089209850063e-16
+5 0 2 0 0 36 50 64 4.44089209850063e-16
+5 0 2 0 0 36 51 64 4.44089209850063e-16
+5 0 2 0 0 36 52 64 4.44089209850063e-16
+5 0 2 0 0 36 53 64 4.44089209850063e-16
+5 0 2 0 0 36 54 64 4.44089209850063e-16
+5 0 2 0 0 36 55 64 4.44089209850063e-16
+5 0 2 0 0 36 56 64 4.44089209850063e-16
+5 0 2 0 0 36 57 64 4.44089209850063e-16
+5 0 2 0 0 36 58 64 4.44089209850063e-16
+5 0 2 0 0 36 59 64 4.44089209850063e-16
+5 0 2 0 0 36 60 64 4.44089209850063e-16
+5 0 2 0 0 36 61 64 4.44089209850063e-16
+5 0 2 0 0 36 62 64 4.44089209850063e-16
+5 0 2 0 0 36 63 64 4.44089209850063e-16
+5 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 4.44089209850063e-16
+6 0 2 0 0 36 40 64 4.44089209850063e-16
+6 0 2 0 0 36 41 64 4.44089209850063e-16
+6 0 2 0 0 36 42 64 4.44089209850063e-16
+6 0 2 0 0 36 43 64 4.44089209850063e-16
+6 0 2 0 0 36 44 64 4.44089209850063e-16
+6 0 2 0 0 36 45 64 4.44089209850063e-16
+6 0 2 0 0 36 46 64 4.44089209850063e-16
+6 0 2 0 0 36 47 64 4.44089209850063e-16
+6 0 2 0 0 36 48 64 4.44089209850063e-16
+6 0 2 0 0 36 49 64 4.44089209850063e-16
+6 0 2 0 0 36 50 64 4.44089209850063e-16
+6 0 2 0 0 36 51 64 4.44089209850063e-16
+6 0 2 0 0 36 52 64 4.44089209850063e-16
+6 0 2 0 0 36 53 64 4.44089209850063e-16
+6 0 2 0 0 36 54 64 4.44089209850063e-16
+6 0 2 0 0 36 55 64 4.44089209850063e-16
+6 0 2 0 0 36 56 64 4.44089209850063e-16
+6 0 2 0 0 36 57 64 4.44089209850063e-16
+6 0 2 0 0 36 58 64 4.44089209850063e-16
+6 0 2 0 0 36 59 64 4.44089209850063e-16
+6 0 2 0 0 36 60 64 4.44089209850063e-16
+6 0 2 0 0 36 61 64 4.44089209850063e-16
+6 0 2 0 0 36 62 64 4.44089209850063e-16
+6 0 2 0 0 36 63 64 4.44089209850063e-16
+6 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 4.44089209850063e-16
+6 0 1 0 0 36 28 64 4.44089209850063e-16
+6 0 1 0 0 36 30 64 4.44089209850063e-16
+6 0 1 0 0 36 32 64 4.44089209850063e-16
+6 0 1 0 0 36 34 64 4.44089209850063e-16
+6 0 1 0 0 36 36 64 4.44089209850063e-16
+6 0 1 0 0 36 38 64 4.44089209850063e-16
+6 0 1 0 0 36 40 64 4.44089209850063e-16
+6 0 1 0 0 36 42 64 4.44089209850063e-16
+6 0 1 0 0 36 44 64 4.44089209850063e-16
+6 0 1 0 0 36 46 64 4.44089209850063e-16
+6 0 1 0 0 36 48 64 4.44089209850063e-16
+6 0 1 0 0 36 50 64 4.44089209850063e-16
+6 0 1 0 0 36 52 64 4.44089209850063e-16
+6 0 1 0 0 36 54 64 4.44089209850063e-16
+6 0 1 0 0 36 56 64 4.44089209850063e-16
+6 0 1 0 0 36 58 64 4.44089209850063e-16
+6 0 1 0 0 36 60 64 4.44089209850063e-16
+6 0 1 0 0 36 62 64 4.44089209850063e-16
+6 0 1 0 0 36 64 64 4.44089209850063e-16
+6 0 1 0 0 36 66 64 4.44089209850063e-16
+6 0 1 0 0 36 68 64 4.44089209850063e-16
+6 0 1 0 0 36 70 64 4.44089209850063e-16
+6 0 1 0 0 36 72 64 4.44089209850063e-16
+6 0 1 0 0 36 74 64 4.44089209850063e-16
+6 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 4.44089209850063e-16
+7 0 2 0 0 36 40 64 4.44089209850063e-16
+7 0 2 0 0 36 41 64 4.44089209850063e-16
+7 0 2 0 0 36 42 64 4.44089209850063e-16
+7 0 2 0 0 36 43 64 4.44089209850063e-16
+7 0 2 0 0 36 44 64 4.44089209850063e-16
+7 0 2 0 0 36 45 64 4.44089209850063e-16
+7 0 2 0 0 36 46 64 4.44089209850063e-16
+7 0 2 0 0 36 47 64 4.44089209850063e-16
+7 0 2 0 0 36 48 64 4.44089209850063e-16
+7 0 2 0 0 36 49 64 4.44089209850063e-16
+7 0 2 0 0 36 50 64 4.44089209850063e-16
+7 0 2 0 0 36 51 64 4.44089209850063e-16
+7 0 2 0 0 36 52 64 4.44089209850063e-16
+7 0 2 0 0 36 53 64 4.44089209850063e-16
+7 0 2 0 0 36 54 64 4.44089209850063e-16
+7 0 2 0 0 36 55 64 4.44089209850063e-16
+7 0 2 0 0 36 56 64 4.44089209850063e-16
+7 0 2 0 0 36 57 64 4.44089209850063e-16
+7 0 2 0 0 36 58 64 4.44089209850063e-16
+7 0 2 0 0 36 59 64 4.44089209850063e-16
+7 0 2 0 0 36 60 64 4.44089209850063e-16
+7 0 2 0 0 36 61 64 4.44089209850063e-16
+7 0 2 0 0 36 62 64 4.44089209850063e-16
+7 0 2 0 0 36 63 64 4.44089209850063e-16
+7 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 4.44089209850063e-16
+8 0 2 0 0 36 40 64 4.44089209850063e-16
+8 0 2 0 0 36 41 64 4.44089209850063e-16
+8 0 2 0 0 36 42 64 4.44089209850063e-16
+8 0 2 0 0 36 43 64 4.44089209850063e-16
+8 0 2 0 0 36 44 64 4.44089209850063e-16
+8 0 2 0 0 36 45 64 4.44089209850063e-16
+8 0 2 0 0 36 46 64 4.44089209850063e-16
+8 0 2 0 0 36 47 64 4.44089209850063e-16
+8 0 2 0 0 36 48 64 4.44089209850063e-16
+8 0 2 0 0 36 49 64 4.44089209850063e-16
+8 0 2 0 0 36 50 64 4.44089209850063e-16
+8 0 2 0 0 36 51 64 4.44089209850063e-16
+8 0 2 0 0 36 52 64 4.44089209850063e-16
+8 0 2 0 0 36 53 64 4.44089209850063e-16
+8 0 2 0 0 36 54 64 4.44089209850063e-16
+8 0 2 0 0 36 55 64 4.44089209850063e-16
+8 0 2 0 0 36 56 64 4.44089209850063e-16
+8 0 2 0 0 36 57 64 4.44089209850063e-16
+8 0 2 0 0 36 58 64 4.44089209850063e-16
+8 0 2 0 0 36 59 64 4.44089209850063e-16
+8 0 2 0 0 36 60 64 4.44089209850063e-16
+8 0 2 0 0 36 61 64 4.44089209850063e-16
+8 0 2 0 0 36 62 64 4.44089209850063e-16
+8 0 2 0 0 36 63 64 4.44089209850063e-16
+8 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 4.44089209850063e-16
+8 0 1 0 0 36 28 64 4.44089209850063e-16
+8 0 1 0 0 36 30 64 4.44089209850063e-16
+8 0 1 0 0 36 32 64 4.44089209850063e-16
+8 0 1 0 0 36 34 64 4.44089209850063e-16
+8 0 1 0 0 36 36 64 4.44089209850063e-16
+8 0 1 0 0 36 38 64 4.44089209850063e-16
+8 0 1 0 0 36 40 64 4.44089209850063e-16
+8 0 1 0 0 36 42 64 4.44089209850063e-16
+8 0 1 0 0 36 44 64 4.44089209850063e-16
+8 0 1 0 0 36 46 64 4.44089209850063e-16
+8 0 1 0 0 36 48 64 4.44089209850063e-16
+8 0 1 0 0 36 50 64 4.44089209850063e-16
+8 0 1 0 0 36 52 64 4.44089209850063e-16
+8 0 1 0 0 36 54 64 4.44089209850063e-16
+8 0 1 0 0 36 56 64 4.44089209850063e-16
+8 0 1 0 0 36 58 64 4.44089209850063e-16
+8 0 1 0 0 36 60 64 4.44089209850063e-16
+8 0 1 0 0 36 62 64 4.44089209850063e-16
+8 0 1 0 0 36 64 64 4.44089209850063e-16
+8 0 1 0 0 36 66 64 4.44089209850063e-16
+8 0 1 0 0 36 68 64 4.44089209850063e-16
+8 0 1 0 0 36 70 64 4.44089209850063e-16
+8 0 1 0 0 36 72 64 4.44089209850063e-16
+8 0 1 0 0 36 74 64 4.44089209850063e-16
+8 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 4.44089209850063e-16
+8 0 0 0 0 36 4 64 4.44089209850063e-16
+8 0 0 0 0 36 8 64 4.44089209850063e-16
+8 0 0 0 0 36 12 64 4.44089209850063e-16
+8 0 0 0 0 36 16 64 4.44089209850063e-16
+8 0 0 0 0 36 20 64 4.44089209850063e-16
+8 0 0 0 0 36 24 64 4.44089209850063e-16
+8 0 0 0 0 36 28 64 4.44089209850063e-16
+8 0 0 0 0 36 32 64 4.44089209850063e-16
+8 0 0 0 0 36 36 64 4.44089209850063e-16
+8 0 0 0 0 36 40 64 4.44089209850063e-16
+8 0 0 0 0 36 44 64 4.44089209850063e-16
+8 0 0 0 0 36 48 64 4.44089209850063e-16
+8 0 0 0 0 36 52 64 4.44089209850063e-16
+8 0 0 0 0 36 56 64 4.44089209850063e-16
+8 0 0 0 0 36 60 64 4.44089209850063e-16
+8 0 0 0 0 36 64 64 4.44089209850063e-16
+8 0 0 0 0 36 68 64 4.44089209850063e-16
+8 0 0 0 0 36 72 64 4.44089209850063e-16
+8 0 0 0 0 36 76 64 4.44089209850063e-16
+8 0 0 0 0 36 80 64 4.44089209850063e-16
+8 0 0 0 0 36 84 64 4.44089209850063e-16
+8 0 0 0 0 36 88 64 4.44089209850063e-16
+8 0 0 0 0 36 92 64 4.44089209850063e-16
+8 0 0 0 0 36 96 64 4.44089209850063e-16
+8 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 4.44089209850063e-16
+9 0 2 0 0 36 40 64 4.44089209850063e-16
+9 0 2 0 0 36 41 64 4.44089209850063e-16
+9 0 2 0 0 36 42 64 4.44089209850063e-16
+9 0 2 0 0 36 43 64 4.44089209850063e-16
+9 0 2 0 0 36 44 64 4.44089209850063e-16
+9 0 2 0 0 36 45 64 4.44089209850063e-16
+9 0 2 0 0 36 46 64 4.44089209850063e-16
+9 0 2 0 0 36 47 64 4.44089209850063e-16
+9 0 2 0 0 36 48 64 4.44089209850063e-16
+9 0 2 0 0 36 49 64 4.44089209850063e-16
+9 0 2 0 0 36 50 64 4.44089209850063e-16
+9 0 2 0 0 36 51 64 4.44089209850063e-16
+9 0 2 0 0 36 52 64 4.44089209850063e-16
+9 0 2 0 0 36 53 64 4.44089209850063e-16
+9 0 2 0 0 36 54 64 4.44089209850063e-16
+9 0 2 0 0 36 55 64 4.44089209850063e-16
+9 0 2 0 0 36 56 64 4.44089209850063e-16
+9 0 2 0 0 36 57 64 4.44089209850063e-16
+9 0 2 0 0 36 58 64 4.44089209850063e-16
+9 0 2 0 0 36 59 64 4.44089209850063e-16
+9 0 2 0 0 36 60 64 4.44089209850063e-16
+9 0 2 0 0 36 61 64 4.44089209850063e-16
+9 0 2 0 0 36 62 64 4.44089209850063e-16
+9 0 2 0 0 36 63 64 4.44089209850063e-16
+9 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 4.44089209850063e-16
+10 0 2 0 0 36 40 64 4.44089209850063e-16
+10 0 2 0 0 36 41 64 4.44089209850063e-16
+10 0 2 0 0 36 42 64 4.44089209850063e-16
+10 0 2 0 0 36 43 64 4.44089209850063e-16
+10 0 2 0 0 36 44 64 4.44089209850063e-16
+10 0 2 0 0 36 45 64 4.44089209850063e-16
+10 0 2 0 0 36 46 64 4.44089209850063e-16
+10 0 2 0 0 36 47 64 4.44089209850063e-16
+10 0 2 0 0 36 48 64 4.44089209850063e-16
+10 0 2 0 0 36 49 64 4.44089209850063e-16
+10 0 2 0 0 36 50 64 4.44089209850063e-16
+10 0 2 0 0 36 51 64 4.44089209850063e-16
+10 0 2 0 0 36 52 64 4.44089209850063e-16
+10 0 2 0 0 36 53 64 4.44089209850063e-16
+10 0 2 0 0 36 54 64 4.44089209850063e-16
+10 0 2 0 0 36 55 64 4.44089209850063e-16
+10 0 2 0 0 36 56 64 4.44089209850063e-16
+10 0 2 0 0 36 57 64 4.44089209850063e-16
+10 0 2 0 0 36 58 64 4.44089209850063e-16
+10 0 2 0 0 36 59 64 4.44089209850063e-16
+10 0 2 0 0 36 60 64 4.44089209850063e-16
+10 0 2 0 0 36 61 64 4.44089209850063e-16
+10 0 2 0 0 36 62 64 4.44089209850063e-16
+10 0 2 0 0 36 63 64 4.44089209850063e-16
+10 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 4.44089209850063e-16
+10 0 1 0 0 36 28 64 4.44089209850063e-16
+10 0 1 0 0 36 30 64 4.44089209850063e-16
+10 0 1 0 0 36 32 64 4.44089209850063e-16
+10 0 1 0 0 36 34 64 4.44089209850063e-16
+10 0 1 0 0 36 36 64 4.44089209850063e-16
+10 0 1 0 0 36 38 64 4.44089209850063e-16
+10 0 1 0 0 36 40 64 4.44089209850063e-16
+10 0 1 0 0 36 42 64 4.44089209850063e-16
+10 0 1 0 0 36 44 64 4.44089209850063e-16
+10 0 1 0 0 36 46 64 4.44089209850063e-16
+10 0 1 0 0 36 48 64 4.44089209850063e-16
+10 0 1 0 0 36 50 64 4.44089209850063e-16
+10 0 1 0 0 36 52 64 4.44089209850063e-16
+10 0 1 0 0 36 54 64 4.44089209850063e-16
+10 0 1 0 0 36 56 64 4.44089209850063e-16
+10 0 1 0 0 36 58 64 4.44089209850063e-16
+10 0 1 0 0 36 60 64 4.44089209850063e-16
+10 0 1 0 0 36 62 64 4.44089209850063e-16
+10 0 1 0 0 36 64 64 4.44089209850063e-16
+10 0 1 0 0 36 66 64 4.44089209850063e-16
+10 0 1 0 0 36 68 64 4.44089209850063e-16
+10 0 1 0 0 36 70 64 4.44089209850063e-16
+10 0 1 0 0 36 72 64 4.44089209850063e-16
+10 0 1 0 0 36 74 64 4.44089209850063e-16
+10 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 4.44089209850063e-16
+11 0 2 0 0 36 40 64 4.44089209850063e-16
+11 0 2 0 0 36 41 64 4.44089209850063e-16
+11 0 2 0 0 36 42 64 4.44089209850063e-16
+11 0 2 0 0 36 43 64 4.44089209850063e-16
+11 0 2 0 0 36 44 64 4.44089209850063e-16
+11 0 2 0 0 36 45 64 4.44089209850063e-16
+11 0 2 0 0 36 46 64 4.44089209850063e-16
+11 0 2 0 0 36 47 64 4.44089209850063e-16
+11 0 2 0 0 36 48 64 4.44089209850063e-16
+11 0 2 0 0 36 49 64 4.44089209850063e-16
+11 0 2 0 0 36 50 64 4.44089209850063e-16
+11 0 2 0 0 36 51 64 4.44089209850063e-16
+11 0 2 0 0 36 52 64 4.44089209850063e-16
+11 0 2 0 0 36 53 64 4.44089209850063e-16
+11 0 2 0 0 36 54 64 4.44089209850063e-16
+11 0 2 0 0 36 55 64 4.44089209850063e-16
+11 0 2 0 0 36 56 64 4.44089209850063e-16
+11 0 2 0 0 36 57 64 4.44089209850063e-16
+11 0 2 0 0 36 58 64 4.44089209850063e-16
+11 0 2 0 0 36 59 64 4.44089209850063e-16
+11 0 2 0 0 36 60 64 4.44089209850063e-16
+11 0 2 0 0 36 61 64 4.44089209850063e-16
+11 0 2 0 0 36 62 64 4.44089209850063e-16
+11 0 2 0 0 36 63 64 4.44089209850063e-16
+11 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 4.44089209850063e-16
+12 0 2 0 0 36 40 64 4.44089209850063e-16
+12 0 2 0 0 36 41 64 4.44089209850063e-16
+12 0 2 0 0 36 42 64 4.44089209850063e-16
+12 0 2 0 0 36 43 64 4.44089209850063e-16
+12 0 2 0 0 36 44 64 4.44089209850063e-16
+12 0 2 0 0 36 45 64 4.44089209850063e-16
+12 0 2 0 0 36 46 64 4.44089209850063e-16
+12 0 2 0 0 36 47 64 4.44089209850063e-16
+12 0 2 0 0 36 48 64 4.44089209850063e-16
+12 0 2 0 0 36 49 64 4.44089209850063e-16
+12 0 2 0 0 36 50 64 4.44089209850063e-16
+12 0 2 0 0 36 51 64 4.44089209850063e-16
+12 0 2 0 0 36 52 64 4.44089209850063e-16
+12 0 2 0 0 36 53 64 4.44089209850063e-16
+12 0 2 0 0 36 54 64 4.44089209850063e-16
+12 0 2 0 0 36 55 64 4.44089209850063e-16
+12 0 2 0 0 36 56 64 4.44089209850063e-16
+12 0 2 0 0 36 57 64 4.44089209850063e-16
+12 0 2 0 0 36 58 64 4.44089209850063e-16
+12 0 2 0 0 36 59 64 4.44089209850063e-16
+12 0 2 0 0 36 60 64 4.44089209850063e-16
+12 0 2 0 0 36 61 64 4.44089209850063e-16
+12 0 2 0 0 36 62 64 4.44089209850063e-16
+12 0 2 0 0 36 63 64 4.44089209850063e-16
+12 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 4.44089209850063e-16
+12 0 1 0 0 36 28 64 4.44089209850063e-16
+12 0 1 0 0 36 30 64 4.44089209850063e-16
+12 0 1 0 0 36 32 64 4.44089209850063e-16
+12 0 1 0 0 36 34 64 4.44089209850063e-16
+12 0 1 0 0 36 36 64 4.44089209850063e-16
+12 0 1 0 0 36 38 64 4.44089209850063e-16
+12 0 1 0 0 36 40 64 4.44089209850063e-16
+12 0 1 0 0 36 42 64 4.44089209850063e-16
+12 0 1 0 0 36 44 64 4.44089209850063e-16
+12 0 1 0 0 36 46 64 4.44089209850063e-16
+12 0 1 0 0 36 48 64 4.44089209850063e-16
+12 0 1 0 0 36 50 64 4.44089209850063e-16
+12 0 1 0 0 36 52 64 4.44089209850063e-16
+12 0 1 0 0 36 54 64 4.44089209850063e-16
+12 0 1 0 0 36 56 64 4.44089209850063e-16
+12 0 1 0 0 36 58 64 4.44089209850063e-16
+12 0 1 0 0 36 60 64 4.44089209850063e-16
+12 0 1 0 0 36 62 64 4.44089209850063e-16
+12 0 1 0 0 36 64 64 4.44089209850063e-16
+12 0 1 0 0 36 66 64 4.44089209850063e-16
+12 0 1 0 0 36 68 64 4.44089209850063e-16
+12 0 1 0 0 36 70 64 4.44089209850063e-16
+12 0 1 0 0 36 72 64 4.44089209850063e-16
+12 0 1 0 0 36 74 64 4.44089209850063e-16
+12 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 4.44089209850063e-16
+12 0 0 0 0 36 4 64 4.44089209850063e-16
+12 0 0 0 0 36 8 64 4.44089209850063e-16
+12 0 0 0 0 36 12 64 4.44089209850063e-16
+12 0 0 0 0 36 16 64 4.44089209850063e-16
+12 0 0 0 0 36 20 64 4.44089209850063e-16
+12 0 0 0 0 36 24 64 4.44089209850063e-16
+12 0 0 0 0 36 28 64 4.44089209850063e-16
+12 0 0 0 0 36 32 64 4.44089209850063e-16
+12 0 0 0 0 36 36 64 4.44089209850063e-16
+12 0 0 0 0 36 40 64 4.44089209850063e-16
+12 0 0 0 0 36 44 64 4.44089209850063e-16
+12 0 0 0 0 36 48 64 4.44089209850063e-16
+12 0 0 0 0 36 52 64 4.44089209850063e-16
+12 0 0 0 0 36 56 64 4.44089209850063e-16
+12 0 0 0 0 36 60 64 4.44089209850063e-16
+12 0 0 0 0 36 64 64 4.44089209850063e-16
+12 0 0 0 0 36 68 64 4.44089209850063e-16
+12 0 0 0 0 36 72 64 4.44089209850063e-16
+12 0 0 0 0 36 76 64 4.44089209850063e-16
+12 0 0 0 0 36 80 64 4.44089209850063e-16
+12 0 0 0 0 36 84 64 4.44089209850063e-16
+12 0 0 0 0 36 88 64 4.44089209850063e-16
+12 0 0 0 0 36 92 64 4.44089209850063e-16
+12 0 0 0 0 36 96 64 4.44089209850063e-16
+12 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 4.44089209850063e-16
+13 0 2 0 0 36 40 64 4.44089209850063e-16
+13 0 2 0 0 36 41 64 4.44089209850063e-16
+13 0 2 0 0 36 42 64 4.44089209850063e-16
+13 0 2 0 0 36 43 64 4.44089209850063e-16
+13 0 2 0 0 36 44 64 4.44089209850063e-16
+13 0 2 0 0 36 45 64 4.44089209850063e-16
+13 0 2 0 0 36 46 64 4.44089209850063e-16
+13 0 2 0 0 36 47 64 4.44089209850063e-16
+13 0 2 0 0 36 48 64 4.44089209850063e-16
+13 0 2 0 0 36 49 64 4.44089209850063e-16
+13 0 2 0 0 36 50 64 4.44089209850063e-16
+13 0 2 0 0 36 51 64 4.44089209850063e-16
+13 0 2 0 0 36 52 64 4.44089209850063e-16
+13 0 2 0 0 36 53 64 4.44089209850063e-16
+13 0 2 0 0 36 54 64 4.44089209850063e-16
+13 0 2 0 0 36 55 64 4.44089209850063e-16
+13 0 2 0 0 36 56 64 4.44089209850063e-16
+13 0 2 0 0 36 57 64 4.44089209850063e-16
+13 0 2 0 0 36 58 64 4.44089209850063e-16
+13 0 2 0 0 36 59 64 4.44089209850063e-16
+13 0 2 0 0 36 60 64 4.44089209850063e-16
+13 0 2 0 0 36 61 64 4.44089209850063e-16
+13 0 2 0 0 36 62 64 4.44089209850063e-16
+13 0 2 0 0 36 63 64 4.44089209850063e-16
+13 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 4.44089209850063e-16
+14 0 2 0 0 36 40 64 4.44089209850063e-16
+14 0 2 0 0 36 41 64 4.44089209850063e-16
+14 0 2 0 0 36 42 64 4.44089209850063e-16
+14 0 2 0 0 36 43 64 4.44089209850063e-16
+14 0 2 0 0 36 44 64 4.44089209850063e-16
+14 0 2 0 0 36 45 64 4.44089209850063e-16
+14 0 2 0 0 36 46 64 4.44089209850063e-16
+14 0 2 0 0 36 47 64 4.44089209850063e-16
+14 0 2 0 0 36 48 64 4.44089209850063e-16
+14 0 2 0 0 36 49 64 4.44089209850063e-16
+14 0 2 0 0 36 50 64 4.44089209850063e-16
+14 0 2 0 0 36 51 64 4.44089209850063e-16
+14 0 2 0 0 36 52 64 4.44089209850063e-16
+14 0 2 0 0 36 53 64 4.44089209850063e-16
+14 0 2 0 0 36 54 64 4.44089209850063e-16
+14 0 2 0 0 36 55 64 4.44089209850063e-16
+14 0 2 0 0 36 56 64 4.44089209850063e-16
+14 0 2 0 0 36 57 64 4.44089209850063e-16
+14 0 2 0 0 36 58 64 4.44089209850063e-16
+14 0 2 0 0 36 59 64 4.44089209850063e-16
+14 0 2 0 0 36 60 64 4.44089209850063e-16
+14 0 2 0 0 36 61 64 4.44089209850063e-16
+14 0 2 0 0 36 62 64 4.44089209850063e-16
+14 0 2 0 0 36 63 64 4.44089209850063e-16
+14 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 4.44089209850063e-16
+14 0 1 0 0 36 28 64 4.44089209850063e-16
+14 0 1 0 0 36 30 64 4.44089209850063e-16
+14 0 1 0 0 36 32 64 4.44089209850063e-16
+14 0 1 0 0 36 34 64 4.44089209850063e-16
+14 0 1 0 0 36 36 64 4.44089209850063e-16
+14 0 1 0 0 36 38 64 4.44089209850063e-16
+14 0 1 0 0 36 40 64 4.44089209850063e-16
+14 0 1 0 0 36 42 64 4.44089209850063e-16
+14 0 1 0 0 36 44 64 4.44089209850063e-16
+14 0 1 0 0 36 46 64 4.44089209850063e-16
+14 0 1 0 0 36 48 64 4.44089209850063e-16
+14 0 1 0 0 36 50 64 4.44089209850063e-16
+14 0 1 0 0 36 52 64 4.44089209850063e-16
+14 0 1 0 0 36 54 64 4.44089209850063e-16
+14 0 1 0 0 36 56 64 4.44089209850063e-16
+14 0 1 0 0 36 58 64 4.44089209850063e-16
+14 0 1 0 0 36 60 64 4.44089209850063e-16
+14 0 1 0 0 36 62 64 4.44089209850063e-16
+14 0 1 0 0 36 64 64 4.44089209850063e-16
+14 0 1 0 0 36 66 64 4.44089209850063e-16
+14 0 1 0 0 36 68 64 4.44089209850063e-16
+14 0 1 0 0 36 70 64 4.44089209850063e-16
+14 0 1 0 0 36 72 64 4.44089209850063e-16
+14 0 1 0 0 36 74 64 4.44089209850063e-16
+14 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 4.44089209850063e-16
+15 0 2 0 0 36 40 64 4.44089209850063e-16
+15 0 2 0 0 36 41 64 4.44089209850063e-16
+15 0 2 0 0 36 42 64 4.44089209850063e-16
+15 0 2 0 0 36 43 64 4.44089209850063e-16
+15 0 2 0 0 36 44 64 4.44089209850063e-16
+15 0 2 0 0 36 45 64 4.44089209850063e-16
+15 0 2 0 0 36 46 64 4.44089209850063e-16
+15 0 2 0 0 36 47 64 4.44089209850063e-16
+15 0 2 0 0 36 48 64 4.44089209850063e-16
+15 0 2 0 0 36 49 64 4.44089209850063e-16
+15 0 2 0 0 36 50 64 4.44089209850063e-16
+15 0 2 0 0 36 51 64 4.44089209850063e-16
+15 0 2 0 0 36 52 64 4.44089209850063e-16
+15 0 2 0 0 36 53 64 4.44089209850063e-16
+15 0 2 0 0 36 54 64 4.44089209850063e-16
+15 0 2 0 0 36 55 64 4.44089209850063e-16
+15 0 2 0 0 36 56 64 4.44089209850063e-16
+15 0 2 0 0 36 57 64 4.44089209850063e-16
+15 0 2 0 0 36 58 64 4.44089209850063e-16
+15 0 2 0 0 36 59 64 4.44089209850063e-16
+15 0 2 0 0 36 60 64 4.44089209850063e-16
+15 0 2 0 0 36 61 64 4.44089209850063e-16
+15 0 2 0 0 36 62 64 4.44089209850063e-16
+15 0 2 0 0 36 63 64 4.44089209850063e-16
+15 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 4.44089209850063e-16
+16 0 2 0 0 36 40 64 4.44089209850063e-16
+16 0 2 0 0 36 41 64 4.44089209850063e-16
+16 0 2 0 0 36 42 64 4.44089209850063e-16
+16 0 2 0 0 36 43 64 4.44089209850063e-16
+16 0 2 0 0 36 44 64 4.44089209850063e-16
+16 0 2 0 0 36 45 64 4.44089209850063e-16
+16 0 2 0 0 36 46 64 4.44089209850063e-16
+16 0 2 0 0 36 47 64 4.44089209850063e-16
+16 0 2 0 0 36 48 64 4.44089209850063e-16
+16 0 2 0 0 36 49 64 4.44089209850063e-16
+16 0 2 0 0 36 50 64 4.44089209850063e-16
+16 0 2 0 0 36 51 64 4.44089209850063e-16
+16 0 2 0 0 36 52 64 4.44089209850063e-16
+16 0 2 0 0 36 53 64 4.44089209850063e-16
+16 0 2 0 0 36 54 64 4.44089209850063e-16
+16 0 2 0 0 36 55 64 4.44089209850063e-16
+16 0 2 0 0 36 56 64 4.44089209850063e-16
+16 0 2 0 0 36 57 64 4.44089209850063e-16
+16 0 2 0 0 36 58 64 4.44089209850063e-16
+16 0 2 0 0 36 59 64 4.44089209850063e-16
+16 0 2 0 0 36 60 64 4.44089209850063e-16
+16 0 2 0 0 36 61 64 4.44089209850063e-16
+16 0 2 0 0 36 62 64 4.44089209850063e-16
+16 0 2 0 0 36 63 64 4.44089209850063e-16
+16 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 4.44089209850063e-16
+16 0 1 0 0 36 28 64 4.44089209850063e-16
+16 0 1 0 0 36 30 64 4.44089209850063e-16
+16 0 1 0 0 36 32 64 4.44089209850063e-16
+16 0 1 0 0 36 34 64 4.44089209850063e-16
+16 0 1 0 0 36 36 64 4.44089209850063e-16
+16 0 1 0 0 36 38 64 4.44089209850063e-16
+16 0 1 0 0 36 40 64 4.44089209850063e-16
+16 0 1 0 0 36 42 64 4.44089209850063e-16
+16 0 1 0 0 36 44 64 4.44089209850063e-16
+16 0 1 0 0 36 46 64 4.44089209850063e-16
+16 0 1 0 0 36 48 64 4.44089209850063e-16
+16 0 1 0 0 36 50 64 4.44089209850063e-16
+16 0 1 0 0 36 52 64 4.44089209850063e-16
+16 0 1 0 0 36 54 64 4.44089209850063e-16
+16 0 1 0 0 36 56 64 4.44089209850063e-16
+16 0 1 0 0 36 58 64 4.44089209850063e-16
+16 0 1 0 0 36 60 64 4.44089209850063e-16
+16 0 1 0 0 36 62 64 4.44089209850063e-16
+16 0 1 0 0 36 64 64 4.44089209850063e-16
+16 0 1 0 0 36 66 64 4.44089209850063e-16
+16 0 1 0 0 36 68 64 4.44089209850063e-16
+16 0 1 0 0 36 70 64 4.44089209850063e-16
+16 0 1 0 0 36 72 64 4.44089209850063e-16
+16 0 1 0 0 36 74 64 4.44089209850063e-16
+16 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 4.44089209850063e-16
+16 0 0 0 0 36 4 64 4.44089209850063e-16
+16 0 0 0 0 36 8 64 4.44089209850063e-16
+16 0 0 0 0 36 12 64 4.44089209850063e-16
+16 0 0 0 0 36 16 64 4.44089209850063e-16
+16 0 0 0 0 36 20 64 4.44089209850063e-16
+16 0 0 0 0 36 24 64 4.44089209850063e-16
+16 0 0 0 0 36 28 64 4.44089209850063e-16
+16 0 0 0 0 36 32 64 4.44089209850063e-16
+16 0 0 0 0 36 36 64 4.44089209850063e-16
+16 0 0 0 0 36 40 64 4.44089209850063e-16
+16 0 0 0 0 36 44 64 4.44089209850063e-16
+16 0 0 0 0 36 48 64 4.44089209850063e-16
+16 0 0 0 0 36 52 64 4.44089209850063e-16
+16 0 0 0 0 36 56 64 4.44089209850063e-16
+16 0 0 0 0 36 60 64 4.44089209850063e-16
+16 0 0 0 0 36 64 64 4.44089209850063e-16
+16 0 0 0 0 36 68 64 4.44089209850063e-16
+16 0 0 0 0 36 72 64 4.44089209850063e-16
+16 0 0 0 0 36 76 64 4.44089209850063e-16
+16 0 0 0 0 36 80 64 4.44089209850063e-16
+16 0 0 0 0 36 84 64 4.44089209850063e-16
+16 0 0 0 0 36 88 64 4.44089209850063e-16
+16 0 0 0 0 36 92 64 4.44089209850063e-16
+16 0 0 0 0 36 96 64 4.44089209850063e-16
+16 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 4.44089209850063e-16
+17 0 2 0 0 36 40 64 4.44089209850063e-16
+17 0 2 0 0 36 41 64 4.44089209850063e-16
+17 0 2 0 0 36 42 64 4.44089209850063e-16
+17 0 2 0 0 36 43 64 4.44089209850063e-16
+17 0 2 0 0 36 44 64 4.44089209850063e-16
+17 0 2 0 0 36 45 64 4.44089209850063e-16
+17 0 2 0 0 36 46 64 4.44089209850063e-16
+17 0 2 0 0 36 47 64 4.44089209850063e-16
+17 0 2 0 0 36 48 64 4.44089209850063e-16
+17 0 2 0 0 36 49 64 4.44089209850063e-16
+17 0 2 0 0 36 50 64 4.44089209850063e-16
+17 0 2 0 0 36 51 64 4.44089209850063e-16
+17 0 2 0 0 36 52 64 4.44089209850063e-16
+17 0 2 0 0 36 53 64 4.44089209850063e-16
+17 0 2 0 0 36 54 64 4.44089209850063e-16
+17 0 2 0 0 36 55 64 4.44089209850063e-16
+17 0 2 0 0 36 56 64 4.44089209850063e-16
+17 0 2 0 0 36 57 64 4.44089209850063e-16
+17 0 2 0 0 36 58 64 4.44089209850063e-16
+17 0 2 0 0 36 59 64 4.44089209850063e-16
+17 0 2 0 0 36 60 64 4.44089209850063e-16
+17 0 2 0 0 36 61 64 4.44089209850063e-16
+17 0 2 0 0 36 62 64 4.44089209850063e-16
+17 0 2 0 0 36 63 64 4.44089209850063e-16
+17 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 4.44089209850063e-16
+18 0 2 0 0 36 40 64 4.44089209850063e-16
+18 0 2 0 0 36 41 64 4.44089209850063e-16
+18 0 2 0 0 36 42 64 4.44089209850063e-16
+18 0 2 0 0 36 43 64 4.44089209850063e-16
+18 0 2 0 0 36 44 64 4.44089209850063e-16
+18 0 2 0 0 36 45 64 4.44089209850063e-16
+18 0 2 0 0 36 46 64 4.44089209850063e-16
+18 0 2 0 0 36 47 64 4.44089209850063e-16
+18 0 2 0 0 36 48 64 4.44089209850063e-16
+18 0 2 0 0 36 49 64 4.44089209850063e-16
+18 0 2 0 0 36 50 64 4.44089209850063e-16
+18 0 2 0 0 36 51 64 4.44089209850063e-16
+18 0 2 0 0 36 52 64 4.44089209850063e-16
+18 0 2 0 0 36 53 64 4.44089209850063e-16
+18 0 2 0 0 36 54 64 4.44089209850063e-16
+18 0 2 0 0 36 55 64 4.44089209850063e-16
+18 0 2 0 0 36 56 64 4.44089209850063e-16
+18 0 2 0 0 36 57 64 4.44089209850063e-16
+18 0 2 0 0 36 58 64 4.44089209850063e-16
+18 0 2 0 0 36 59 64 4.44089209850063e-16
+18 0 2 0 0 36 60 64 4.44089209850063e-16
+18 0 2 0 0 36 61 64 4.44089209850063e-16
+18 0 2 0 0 36 62 64 4.44089209850063e-16
+18 0 2 0 0 36 63 64 4.44089209850063e-16
+18 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 4.44089209850063e-16
+18 0 1 0 0 36 28 64 4.44089209850063e-16
+18 0 1 0 0 36 30 64 4.44089209850063e-16
+18 0 1 0 0 36 32 64 4.44089209850063e-16
+18 0 1 0 0 36 34 64 4.44089209850063e-16
+18 0 1 0 0 36 36 64 4.44089209850063e-16
+18 0 1 0 0 36 38 64 4.44089209850063e-16
+18 0 1 0 0 36 40 64 4.44089209850063e-16
+18 0 1 0 0 36 42 64 4.44089209850063e-16
+18 0 1 0 0 36 44 64 4.44089209850063e-16
+18 0 1 0 0 36 46 64 4.44089209850063e-16
+18 0 1 0 0 36 48 64 4.44089209850063e-16
+18 0 1 0 0 36 50 64 4.44089209850063e-16
+18 0 1 0 0 36 52 64 4.44089209850063e-16
+18 0 1 0 0 36 54 64 4.44089209850063e-16
+18 0 1 0 0 36 56 64 4.44089209850063e-16
+18 0 1 0 0 36 58 64 4.44089209850063e-16
+18 0 1 0 0 36 60 64 4.44089209850063e-16
+18 0 1 0 0 36 62 64 4.44089209850063e-16
+18 0 1 0 0 36 64 64 4.44089209850063e-16
+18 0 1 0 0 36 66 64 4.44089209850063e-16
+18 0 1 0 0 36 68 64 4.44089209850063e-16
+18 0 1 0 0 36 70 64 4.44089209850063e-16
+18 0 1 0 0 36 72 64 4.44089209850063e-16
+18 0 1 0 0 36 74 64 4.44089209850063e-16
+18 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 4.44089209850063e-16
+19 0 2 0 0 36 40 64 4.44089209850063e-16
+19 0 2 0 0 36 41 64 4.44089209850063e-16
+19 0 2 0 0 36 42 64 4.44089209850063e-16
+19 0 2 0 0 36 43 64 4.44089209850063e-16
+19 0 2 0 0 36 44 64 4.44089209850063e-16
+19 0 2 0 0 36 45 64 4.44089209850063e-16
+19 0 2 0 0 36 46 64 4.44089209850063e-16
+19 0 2 0 0 36 47 64 4.44089209850063e-16
+19 0 2 0 0 36 48 64 4.44089209850063e-16
+19 0 2 0 0 36 49 64 4.44089209850063e-16
+19 0 2 0 0 36 50 64 4.44089209850063e-16
+19 0 2 0 0 36 51 64 4.44089209850063e-16
+19 0 2 0 0 36 52 64 4.44089209850063e-16
+19 0 2 0 0 36 53 64 4.44089209850063e-16
+19 0 2 0 0 36 54 64 4.44089209850063e-16
+19 0 2 0 0 36 55 64 4.44089209850063e-16
+19 0 2 0 0 36 56 64 4.44089209850063e-16
+19 0 2 0 0 36 57 64 4.44089209850063e-16
+19 0 2 0 0 36 58 64 4.44089209850063e-16
+19 0 2 0 0 36 59 64 4.44089209850063e-16
+19 0 2 0 0 36 60 64 4.44089209850063e-16
+19 0 2 0 0 36 61 64 4.44089209850063e-16
+19 0 2 0 0 36 62 64 4.44089209850063e-16
+19 0 2 0 0 36 63 64 4.44089209850063e-16
+19 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 4.44089209850063e-16
+20 0 2 0 0 36 40 64 4.44089209850063e-16
+20 0 2 0 0 36 41 64 4.44089209850063e-16
+20 0 2 0 0 36 42 64 4.44089209850063e-16
+20 0 2 0 0 36 43 64 4.44089209850063e-16
+20 0 2 0 0 36 44 64 4.44089209850063e-16
+20 0 2 0 0 36 45 64 4.44089209850063e-16
+20 0 2 0 0 36 46 64 4.44089209850063e-16
+20 0 2 0 0 36 47 64 4.44089209850063e-16
+20 0 2 0 0 36 48 64 4.44089209850063e-16
+20 0 2 0 0 36 49 64 4.44089209850063e-16
+20 0 2 0 0 36 50 64 4.44089209850063e-16
+20 0 2 0 0 36 51 64 4.44089209850063e-16
+20 0 2 0 0 36 52 64 4.44089209850063e-16
+20 0 2 0 0 36 53 64 4.44089209850063e-16
+20 0 2 0 0 36 54 64 4.44089209850063e-16
+20 0 2 0 0 36 55 64 4.44089209850063e-16
+20 0 2 0 0 36 56 64 4.44089209850063e-16
+20 0 2 0 0 36 57 64 4.44089209850063e-16
+20 0 2 0 0 36 58 64 4.44089209850063e-16
+20 0 2 0 0 36 59 64 4.44089209850063e-16
+20 0 2 0 0 36 60 64 4.44089209850063e-16
+20 0 2 0 0 36 61 64 4.44089209850063e-16
+20 0 2 0 0 36 62 64 4.44089209850063e-16
+20 0 2 0 0 36 63 64 4.44089209850063e-16
+20 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 4.44089209850063e-16
+20 0 1 0 0 36 28 64 4.44089209850063e-16
+20 0 1 0 0 36 30 64 4.44089209850063e-16
+20 0 1 0 0 36 32 64 4.44089209850063e-16
+20 0 1 0 0 36 34 64 4.44089209850063e-16
+20 0 1 0 0 36 36 64 4.44089209850063e-16
+20 0 1 0 0 36 38 64 4.44089209850063e-16
+20 0 1 0 0 36 40 64 4.44089209850063e-16
+20 0 1 0 0 36 42 64 4.44089209850063e-16
+20 0 1 0 0 36 44 64 4.44089209850063e-16
+20 0 1 0 0 36 46 64 4.44089209850063e-16
+20 0 1 0 0 36 48 64 4.44089209850063e-16
+20 0 1 0 0 36 50 64 4.44089209850063e-16
+20 0 1 0 0 36 52 64 4.44089209850063e-16
+20 0 1 0 0 36 54 64 4.44089209850063e-16
+20 0 1 0 0 36 56 64 4.44089209850063e-16
+20 0 1 0 0 36 58 64 4.44089209850063e-16
+20 0 1 0 0 36 60 64 4.44089209850063e-16
+20 0 1 0 0 36 62 64 4.44089209850063e-16
+20 0 1 0 0 36 64 64 4.44089209850063e-16
+20 0 1 0 0 36 66 64 4.44089209850063e-16
+20 0 1 0 0 36 68 64 4.44089209850063e-16
+20 0 1 0 0 36 70 64 4.44089209850063e-16
+20 0 1 0 0 36 72 64 4.44089209850063e-16
+20 0 1 0 0 36 74 64 4.44089209850063e-16
+20 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 4.44089209850063e-16
+20 0 0 0 0 36 4 64 4.44089209850063e-16
+20 0 0 0 0 36 8 64 4.44089209850063e-16
+20 0 0 0 0 36 12 64 4.44089209850063e-16
+20 0 0 0 0 36 16 64 4.44089209850063e-16
+20 0 0 0 0 36 20 64 4.44089209850063e-16
+20 0 0 0 0 36 24 64 4.44089209850063e-16
+20 0 0 0 0 36 28 64 4.44089209850063e-16
+20 0 0 0 0 36 32 64 4.44089209850063e-16
+20 0 0 0 0 36 36 64 4.44089209850063e-16
+20 0 0 0 0 36 40 64 4.44089209850063e-16
+20 0 0 0 0 36 44 64 4.44089209850063e-16
+20 0 0 0 0 36 48 64 4.44089209850063e-16
+20 0 0 0 0 36 52 64 4.44089209850063e-16
+20 0 0 0 0 36 56 64 4.44089209850063e-16
+20 0 0 0 0 36 60 64 4.44089209850063e-16
+20 0 0 0 0 36 64 64 4.44089209850063e-16
+20 0 0 0 0 36 68 64 4.44089209850063e-16
+20 0 0 0 0 36 72 64 4.44089209850063e-16
+20 0 0 0 0 36 76 64 4.44089209850063e-16
+20 0 0 0 0 36 80 64 4.44089209850063e-16
+20 0 0 0 0 36 84 64 4.44089209850063e-16
+20 0 0 0 0 36 88 64 4.44089209850063e-16
+20 0 0 0 0 36 92 64 4.44089209850063e-16
+20 0 0 0 0 36 96 64 4.44089209850063e-16
+20 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 4.44089209850063e-16
+21 0 2 0 0 36 40 64 4.44089209850063e-16
+21 0 2 0 0 36 41 64 4.44089209850063e-16
+21 0 2 0 0 36 42 64 4.44089209850063e-16
+21 0 2 0 0 36 43 64 4.44089209850063e-16
+21 0 2 0 0 36 44 64 4.44089209850063e-16
+21 0 2 0 0 36 45 64 4.44089209850063e-16
+21 0 2 0 0 36 46 64 4.44089209850063e-16
+21 0 2 0 0 36 47 64 4.44089209850063e-16
+21 0 2 0 0 36 48 64 4.44089209850063e-16
+21 0 2 0 0 36 49 64 4.44089209850063e-16
+21 0 2 0 0 36 50 64 4.44089209850063e-16
+21 0 2 0 0 36 51 64 4.44089209850063e-16
+21 0 2 0 0 36 52 64 4.44089209850063e-16
+21 0 2 0 0 36 53 64 4.44089209850063e-16
+21 0 2 0 0 36 54 64 4.44089209850063e-16
+21 0 2 0 0 36 55 64 4.44089209850063e-16
+21 0 2 0 0 36 56 64 4.44089209850063e-16
+21 0 2 0 0 36 57 64 4.44089209850063e-16
+21 0 2 0 0 36 58 64 4.44089209850063e-16
+21 0 2 0 0 36 59 64 4.44089209850063e-16
+21 0 2 0 0 36 60 64 4.44089209850063e-16
+21 0 2 0 0 36 61 64 4.44089209850063e-16
+21 0 2 0 0 36 62 64 4.44089209850063e-16
+21 0 2 0 0 36 63 64 4.44089209850063e-16
+21 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 4.44089209850063e-16
+22 0 2 0 0 36 40 64 4.44089209850063e-16
+22 0 2 0 0 36 41 64 4.44089209850063e-16
+22 0 2 0 0 36 42 64 4.44089209850063e-16
+22 0 2 0 0 36 43 64 4.44089209850063e-16
+22 0 2 0 0 36 44 64 4.44089209850063e-16
+22 0 2 0 0 36 45 64 4.44089209850063e-16
+22 0 2 0 0 36 46 64 4.44089209850063e-16
+22 0 2 0 0 36 47 64 4.44089209850063e-16
+22 0 2 0 0 36 48 64 4.44089209850063e-16
+22 0 2 0 0 36 49 64 4.44089209850063e-16
+22 0 2 0 0 36 50 64 4.44089209850063e-16
+22 0 2 0 0 36 51 64 4.44089209850063e-16
+22 0 2 0 0 36 52 64 4.44089209850063e-16
+22 0 2 0 0 36 53 64 4.44089209850063e-16
+22 0 2 0 0 36 54 64 4.44089209850063e-16
+22 0 2 0 0 36 55 64 4.44089209850063e-16
+22 0 2 0 0 36 56 64 4.44089209850063e-16
+22 0 2 0 0 36 57 64 4.44089209850063e-16
+22 0 2 0 0 36 58 64 4.44089209850063e-16
+22 0 2 0 0 36 59 64 4.44089209850063e-16
+22 0 2 0 0 36 60 64 4.44089209850063e-16
+22 0 2 0 0 36 61 64 4.44089209850063e-16
+22 0 2 0 0 36 62 64 4.44089209850063e-16
+22 0 2 0 0 36 63 64 4.44089209850063e-16
+22 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 4.44089209850063e-16
+22 0 1 0 0 36 28 64 4.44089209850063e-16
+22 0 1 0 0 36 30 64 4.44089209850063e-16
+22 0 1 0 0 36 32 64 4.44089209850063e-16
+22 0 1 0 0 36 34 64 4.44089209850063e-16
+22 0 1 0 0 36 36 64 4.44089209850063e-16
+22 0 1 0 0 36 38 64 4.44089209850063e-16
+22 0 1 0 0 36 40 64 4.44089209850063e-16
+22 0 1 0 0 36 42 64 4.44089209850063e-16
+22 0 1 0 0 36 44 64 4.44089209850063e-16
+22 0 1 0 0 36 46 64 4.44089209850063e-16
+22 0 1 0 0 36 48 64 4.44089209850063e-16
+22 0 1 0 0 36 50 64 4.44089209850063e-16
+22 0 1 0 0 36 52 64 4.44089209850063e-16
+22 0 1 0 0 36 54 64 4.44089209850063e-16
+22 0 1 0 0 36 56 64 4.44089209850063e-16
+22 0 1 0 0 36 58 64 4.44089209850063e-16
+22 0 1 0 0 36 60 64 4.44089209850063e-16
+22 0 1 0 0 36 62 64 4.44089209850063e-16
+22 0 1 0 0 36 64 64 4.44089209850063e-16
+22 0 1 0 0 36 66 64 4.44089209850063e-16
+22 0 1 0 0 36 68 64 4.44089209850063e-16
+22 0 1 0 0 36 70 64 4.44089209850063e-16
+22 0 1 0 0 36 72 64 4.44089209850063e-16
+22 0 1 0 0 36 74 64 4.44089209850063e-16
+22 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 4.44089209850063e-16
+23 0 2 0 0 36 40 64 4.44089209850063e-16
+23 0 2 0 0 36 41 64 4.44089209850063e-16
+23 0 2 0 0 36 42 64 4.44089209850063e-16
+23 0 2 0 0 36 43 64 4.44089209850063e-16
+23 0 2 0 0 36 44 64 4.44089209850063e-16
+23 0 2 0 0 36 45 64 4.44089209850063e-16
+23 0 2 0 0 36 46 64 4.44089209850063e-16
+23 0 2 0 0 36 47 64 4.44089209850063e-16
+23 0 2 0 0 36 48 64 4.44089209850063e-16
+23 0 2 0 0 36 49 64 4.44089209850063e-16
+23 0 2 0 0 36 50 64 4.44089209850063e-16
+23 0 2 0 0 36 51 64 4.44089209850063e-16
+23 0 2 0 0 36 52 64 4.44089209850063e-16
+23 0 2 0 0 36 53 64 4.44089209850063e-16
+23 0 2 0 0 36 54 64 4.44089209850063e-16
+23 0 2 0 0 36 55 64 4.44089209850063e-16
+23 0 2 0 0 36 56 64 4.44089209850063e-16
+23 0 2 0 0 36 57 64 4.44089209850063e-16
+23 0 2 0 0 36 58 64 4.44089209850063e-16
+23 0 2 0 0 36 59 64 4.44089209850063e-16
+23 0 2 0 0 36 60 64 4.44089209850063e-16
+23 0 2 0 0 36 61 64 4.44089209850063e-16
+23 0 2 0 0 36 62 64 4.44089209850063e-16
+23 0 2 0 0 36 63 64 4.44089209850063e-16
+23 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 4.44089209850063e-16
+24 0 2 0 0 36 40 64 4.44089209850063e-16
+24 0 2 0 0 36 41 64 4.44089209850063e-16
+24 0 2 0 0 36 42 64 4.44089209850063e-16
+24 0 2 0 0 36 43 64 4.44089209850063e-16
+24 0 2 0 0 36 44 64 4.44089209850063e-16
+24 0 2 0 0 36 45 64 4.44089209850063e-16
+24 0 2 0 0 36 46 64 4.44089209850063e-16
+24 0 2 0 0 36 47 64 4.44089209850063e-16
+24 0 2 0 0 36 48 64 4.44089209850063e-16
+24 0 2 0 0 36 49 64 4.44089209850063e-16
+24 0 2 0 0 36 50 64 4.44089209850063e-16
+24 0 2 0 0 36 51 64 4.44089209850063e-16
+24 0 2 0 0 36 52 64 4.44089209850063e-16
+24 0 2 0 0 36 53 64 4.44089209850063e-16
+24 0 2 0 0 36 54 64 4.44089209850063e-16
+24 0 2 0 0 36 55 64 4.44089209850063e-16
+24 0 2 0 0 36 56 64 4.44089209850063e-16
+24 0 2 0 0 36 57 64 4.44089209850063e-16
+24 0 2 0 0 36 58 64 4.44089209850063e-16
+24 0 2 0 0 36 59 64 4.44089209850063e-16
+24 0 2 0 0 36 60 64 4.44089209850063e-16
+24 0 2 0 0 36 61 64 4.44089209850063e-16
+24 0 2 0 0 36 62 64 4.44089209850063e-16
+24 0 2 0 0 36 63 64 4.44089209850063e-16
+24 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 4.44089209850063e-16
+24 0 1 0 0 36 28 64 4.44089209850063e-16
+24 0 1 0 0 36 30 64 4.44089209850063e-16
+24 0 1 0 0 36 32 64 4.44089209850063e-16
+24 0 1 0 0 36 34 64 4.44089209850063e-16
+24 0 1 0 0 36 36 64 4.44089209850063e-16
+24 0 1 0 0 36 38 64 4.44089209850063e-16
+24 0 1 0 0 36 40 64 4.44089209850063e-16
+24 0 1 0 0 36 42 64 4.44089209850063e-16
+24 0 1 0 0 36 44 64 4.44089209850063e-16
+24 0 1 0 0 36 46 64 4.44089209850063e-16
+24 0 1 0 0 36 48 64 4.44089209850063e-16
+24 0 1 0 0 36 50 64 4.44089209850063e-16
+24 0 1 0 0 36 52 64 4.44089209850063e-16
+24 0 1 0 0 36 54 64 4.44089209850063e-16
+24 0 1 0 0 36 56 64 4.44089209850063e-16
+24 0 1 0 0 36 58 64 4.44089209850063e-16
+24 0 1 0 0 36 60 64 4.44089209850063e-16
+24 0 1 0 0 36 62 64 4.44089209850063e-16
+24 0 1 0 0 36 64 64 4.44089209850063e-16
+24 0 1 0 0 36 66 64 4.44089209850063e-16
+24 0 1 0 0 36 68 64 4.44089209850063e-16
+24 0 1 0 0 36 70 64 4.44089209850063e-16
+24 0 1 0 0 36 72 64 4.44089209850063e-16
+24 0 1 0 0 36 74 64 4.44089209850063e-16
+24 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 4.44089209850063e-16
+24 0 0 0 0 36 4 64 4.44089209850063e-16
+24 0 0 0 0 36 8 64 4.44089209850063e-16
+24 0 0 0 0 36 12 64 4.44089209850063e-16
+24 0 0 0 0 36 16 64 4.44089209850063e-16
+24 0 0 0 0 36 20 64 4.44089209850063e-16
+24 0 0 0 0 36 24 64 4.44089209850063e-16
+24 0 0 0 0 36 28 64 4.44089209850063e-16
+24 0 0 0 0 36 32 64 4.44089209850063e-16
+24 0 0 0 0 36 36 64 4.44089209850063e-16
+24 0 0 0 0 36 40 64 4.44089209850063e-16
+24 0 0 0 0 36 44 64 4.44089209850063e-16
+24 0 0 0 0 36 48 64 4.44089209850063e-16
+24 0 0 0 0 36 52 64 4.44089209850063e-16
+24 0 0 0 0 36 56 64 4.44089209850063e-16
+24 0 0 0 0 36 60 64 4.44089209850063e-16
+24 0 0 0 0 36 64 64 4.44089209850063e-16
+24 0 0 0 0 36 68 64 4.44089209850063e-16
+24 0 0 0 0 36 72 64 4.44089209850063e-16
+24 0 0 0 0 36 76 64 4.44089209850063e-16
+24 0 0 0 0 36 80 64 4.44089209850063e-16
+24 0 0 0 0 36 84 64 4.44089209850063e-16
+24 0 0 0 0 36 88 64 4.44089209850063e-16
+24 0 0 0 0 36 92 64 4.44089209850063e-16
+24 0 0 0 0 36 96 64 4.44089209850063e-16
+24 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.zl
new file mode 100644
index 000000000..1224f01b3
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.zl
@@ -0,0 +1,1757 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 4.44089209850063e-16
+0 0 2 0 0 36 48 52 4.44089209850063e-16
+0 0 2 0 0 36 48 53 4.44089209850063e-16
+0 0 2 0 0 36 48 54 4.44089209850063e-16
+0 0 2 0 0 36 48 55 4.44089209850063e-16
+0 0 2 0 0 36 48 56 4.44089209850063e-16
+0 0 2 0 0 36 48 57 4.44089209850063e-16
+0 0 2 0 0 36 48 58 4.44089209850063e-16
+0 0 2 0 0 36 48 59 4.44089209850063e-16
+0 0 2 0 0 36 48 60 4.44089209850063e-16
+0 0 2 0 0 36 48 61 4.44089209850063e-16
+0 0 2 0 0 36 48 62 4.44089209850063e-16
+0 0 2 0 0 36 48 63 4.44089209850063e-16
+0 0 2 0 0 36 48 64 4.44089209850063e-16
+0 0 2 0 0 36 48 65 4.44089209850063e-16
+0 0 2 0 0 36 48 66 4.44089209850063e-16
+0 0 2 0 0 36 48 67 4.44089209850063e-16
+0 0 2 0 0 36 48 68 4.44089209850063e-16
+0 0 2 0 0 36 48 69 4.44089209850063e-16
+0 0 2 0 0 36 48 70 4.44089209850063e-16
+0 0 2 0 0 36 48 71 4.44089209850063e-16
+0 0 2 0 0 36 48 72 4.44089209850063e-16
+0 0 2 0 0 36 48 73 4.44089209850063e-16
+0 0 2 0 0 36 48 74 4.44089209850063e-16
+0 0 2 0 0 36 48 75 4.44089209850063e-16
+0 0 2 0 0 36 48 76 4.44089209850063e-16
+0 0 2 0 0 36 48 77 4.44089209850063e-16
+0 0 2 0 0 36 48 78 4.44089209850063e-16
+0 0 2 0 0 36 48 79 4.44089209850063e-16
+0 0 2 0 0 36 48 80 4.44089209850063e-16
+0 0 2 0 0 36 48 81 4.44089209850063e-16
+0 0 2 0 0 36 48 82 4.44089209850063e-16
+0 0 2 0 0 36 48 83 4.44089209850063e-16
+0 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 4.44089209850063e-16
+0 0 1 0 0 36 48 36 4.44089209850063e-16
+0 0 1 0 0 36 48 38 4.44089209850063e-16
+0 0 1 0 0 36 48 40 4.44089209850063e-16
+0 0 1 0 0 36 48 42 4.44089209850063e-16
+0 0 1 0 0 36 48 44 4.44089209850063e-16
+0 0 1 0 0 36 48 46 4.44089209850063e-16
+0 0 1 0 0 36 48 48 4.44089209850063e-16
+0 0 1 0 0 36 48 50 4.44089209850063e-16
+0 0 1 0 0 36 48 52 4.44089209850063e-16
+0 0 1 0 0 36 48 54 4.44089209850063e-16
+0 0 1 0 0 36 48 56 4.44089209850063e-16
+0 0 1 0 0 36 48 58 4.44089209850063e-16
+0 0 1 0 0 36 48 60 4.44089209850063e-16
+0 0 1 0 0 36 48 62 4.44089209850063e-16
+0 0 1 0 0 36 48 64 4.44089209850063e-16
+0 0 1 0 0 36 48 66 4.44089209850063e-16
+0 0 1 0 0 36 48 68 4.44089209850063e-16
+0 0 1 0 0 36 48 70 4.44089209850063e-16
+0 0 1 0 0 36 48 72 4.44089209850063e-16
+0 0 1 0 0 36 48 74 4.44089209850063e-16
+0 0 1 0 0 36 48 76 4.44089209850063e-16
+0 0 1 0 0 36 48 78 4.44089209850063e-16
+0 0 1 0 0 36 48 80 4.44089209850063e-16
+0 0 1 0 0 36 48 82 4.44089209850063e-16
+0 0 1 0 0 36 48 84 4.44089209850063e-16
+0 0 1 0 0 36 48 86 4.44089209850063e-16
+0 0 1 0 0 36 48 88 4.44089209850063e-16
+0 0 1 0 0 36 48 90 4.44089209850063e-16
+0 0 1 0 0 36 48 92 4.44089209850063e-16
+0 0 1 0 0 36 48 94 4.44089209850063e-16
+0 0 1 0 0 36 48 96 4.44089209850063e-16
+0 0 1 0 0 36 48 98 4.44089209850063e-16
+0 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 4.44089209850063e-16
+0 0 0 0 0 36 48 4 4.44089209850063e-16
+0 0 0 0 0 36 48 8 4.44089209850063e-16
+0 0 0 0 0 36 48 12 4.44089209850063e-16
+0 0 0 0 0 36 48 16 4.44089209850063e-16
+0 0 0 0 0 36 48 20 4.44089209850063e-16
+0 0 0 0 0 36 48 24 4.44089209850063e-16
+0 0 0 0 0 36 48 28 4.44089209850063e-16
+0 0 0 0 0 36 48 32 4.44089209850063e-16
+0 0 0 0 0 36 48 36 4.44089209850063e-16
+0 0 0 0 0 36 48 40 4.44089209850063e-16
+0 0 0 0 0 36 48 44 4.44089209850063e-16
+0 0 0 0 0 36 48 48 4.44089209850063e-16
+0 0 0 0 0 36 48 52 4.44089209850063e-16
+0 0 0 0 0 36 48 56 4.44089209850063e-16
+0 0 0 0 0 36 48 60 4.44089209850063e-16
+0 0 0 0 0 36 48 64 4.44089209850063e-16
+0 0 0 0 0 36 48 68 4.44089209850063e-16
+0 0 0 0 0 36 48 72 4.44089209850063e-16
+0 0 0 0 0 36 48 76 4.44089209850063e-16
+0 0 0 0 0 36 48 80 4.44089209850063e-16
+0 0 0 0 0 36 48 84 4.44089209850063e-16
+0 0 0 0 0 36 48 88 4.44089209850063e-16
+0 0 0 0 0 36 48 92 4.44089209850063e-16
+0 0 0 0 0 36 48 96 4.44089209850063e-16
+0 0 0 0 0 36 48 100 4.44089209850063e-16
+0 0 0 0 0 36 48 104 4.44089209850063e-16
+0 0 0 0 0 36 48 108 4.44089209850063e-16
+0 0 0 0 0 36 48 112 4.44089209850063e-16
+0 0 0 0 0 36 48 116 4.44089209850063e-16
+0 0 0 0 0 36 48 120 4.44089209850063e-16
+0 0 0 0 0 36 48 124 4.44089209850063e-16
+0 0 0 0 0 36 48 128 4.44089209850063e-16
+0 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 4.44089209850063e-16
+1 0 2 0 0 36 48 52 4.44089209850063e-16
+1 0 2 0 0 36 48 53 4.44089209850063e-16
+1 0 2 0 0 36 48 54 4.44089209850063e-16
+1 0 2 0 0 36 48 55 4.44089209850063e-16
+1 0 2 0 0 36 48 56 4.44089209850063e-16
+1 0 2 0 0 36 48 57 4.44089209850063e-16
+1 0 2 0 0 36 48 58 4.44089209850063e-16
+1 0 2 0 0 36 48 59 4.44089209850063e-16
+1 0 2 0 0 36 48 60 4.44089209850063e-16
+1 0 2 0 0 36 48 61 4.44089209850063e-16
+1 0 2 0 0 36 48 62 4.44089209850063e-16
+1 0 2 0 0 36 48 63 4.44089209850063e-16
+1 0 2 0 0 36 48 64 4.44089209850063e-16
+1 0 2 0 0 36 48 65 4.44089209850063e-16
+1 0 2 0 0 36 48 66 4.44089209850063e-16
+1 0 2 0 0 36 48 67 4.44089209850063e-16
+1 0 2 0 0 36 48 68 4.44089209850063e-16
+1 0 2 0 0 36 48 69 4.44089209850063e-16
+1 0 2 0 0 36 48 70 4.44089209850063e-16
+1 0 2 0 0 36 48 71 4.44089209850063e-16
+1 0 2 0 0 36 48 72 4.44089209850063e-16
+1 0 2 0 0 36 48 73 4.44089209850063e-16
+1 0 2 0 0 36 48 74 4.44089209850063e-16
+1 0 2 0 0 36 48 75 4.44089209850063e-16
+1 0 2 0 0 36 48 76 4.44089209850063e-16
+1 0 2 0 0 36 48 77 4.44089209850063e-16
+1 0 2 0 0 36 48 78 4.44089209850063e-16
+1 0 2 0 0 36 48 79 4.44089209850063e-16
+1 0 2 0 0 36 48 80 4.44089209850063e-16
+1 0 2 0 0 36 48 81 4.44089209850063e-16
+1 0 2 0 0 36 48 82 4.44089209850063e-16
+1 0 2 0 0 36 48 83 4.44089209850063e-16
+1 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 4.44089209850063e-16
+2 0 2 0 0 36 48 52 4.44089209850063e-16
+2 0 2 0 0 36 48 53 4.44089209850063e-16
+2 0 2 0 0 36 48 54 4.44089209850063e-16
+2 0 2 0 0 36 48 55 4.44089209850063e-16
+2 0 2 0 0 36 48 56 4.44089209850063e-16
+2 0 2 0 0 36 48 57 4.44089209850063e-16
+2 0 2 0 0 36 48 58 4.44089209850063e-16
+2 0 2 0 0 36 48 59 4.44089209850063e-16
+2 0 2 0 0 36 48 60 4.44089209850063e-16
+2 0 2 0 0 36 48 61 4.44089209850063e-16
+2 0 2 0 0 36 48 62 4.44089209850063e-16
+2 0 2 0 0 36 48 63 4.44089209850063e-16
+2 0 2 0 0 36 48 64 4.44089209850063e-16
+2 0 2 0 0 36 48 65 4.44089209850063e-16
+2 0 2 0 0 36 48 66 4.44089209850063e-16
+2 0 2 0 0 36 48 67 4.44089209850063e-16
+2 0 2 0 0 36 48 68 4.44089209850063e-16
+2 0 2 0 0 36 48 69 4.44089209850063e-16
+2 0 2 0 0 36 48 70 4.44089209850063e-16
+2 0 2 0 0 36 48 71 4.44089209850063e-16
+2 0 2 0 0 36 48 72 4.44089209850063e-16
+2 0 2 0 0 36 48 73 4.44089209850063e-16
+2 0 2 0 0 36 48 74 4.44089209850063e-16
+2 0 2 0 0 36 48 75 4.44089209850063e-16
+2 0 2 0 0 36 48 76 4.44089209850063e-16
+2 0 2 0 0 36 48 77 4.44089209850063e-16
+2 0 2 0 0 36 48 78 4.44089209850063e-16
+2 0 2 0 0 36 48 79 4.44089209850063e-16
+2 0 2 0 0 36 48 80 4.44089209850063e-16
+2 0 2 0 0 36 48 81 4.44089209850063e-16
+2 0 2 0 0 36 48 82 4.44089209850063e-16
+2 0 2 0 0 36 48 83 4.44089209850063e-16
+2 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 4.44089209850063e-16
+2 0 1 0 0 36 48 36 4.44089209850063e-16
+2 0 1 0 0 36 48 38 4.44089209850063e-16
+2 0 1 0 0 36 48 40 4.44089209850063e-16
+2 0 1 0 0 36 48 42 4.44089209850063e-16
+2 0 1 0 0 36 48 44 4.44089209850063e-16
+2 0 1 0 0 36 48 46 4.44089209850063e-16
+2 0 1 0 0 36 48 48 4.44089209850063e-16
+2 0 1 0 0 36 48 50 4.44089209850063e-16
+2 0 1 0 0 36 48 52 4.44089209850063e-16
+2 0 1 0 0 36 48 54 4.44089209850063e-16
+2 0 1 0 0 36 48 56 4.44089209850063e-16
+2 0 1 0 0 36 48 58 4.44089209850063e-16
+2 0 1 0 0 36 48 60 4.44089209850063e-16
+2 0 1 0 0 36 48 62 4.44089209850063e-16
+2 0 1 0 0 36 48 64 4.44089209850063e-16
+2 0 1 0 0 36 48 66 4.44089209850063e-16
+2 0 1 0 0 36 48 68 4.44089209850063e-16
+2 0 1 0 0 36 48 70 4.44089209850063e-16
+2 0 1 0 0 36 48 72 4.44089209850063e-16
+2 0 1 0 0 36 48 74 4.44089209850063e-16
+2 0 1 0 0 36 48 76 4.44089209850063e-16
+2 0 1 0 0 36 48 78 4.44089209850063e-16
+2 0 1 0 0 36 48 80 4.44089209850063e-16
+2 0 1 0 0 36 48 82 4.44089209850063e-16
+2 0 1 0 0 36 48 84 4.44089209850063e-16
+2 0 1 0 0 36 48 86 4.44089209850063e-16
+2 0 1 0 0 36 48 88 4.44089209850063e-16
+2 0 1 0 0 36 48 90 4.44089209850063e-16
+2 0 1 0 0 36 48 92 4.44089209850063e-16
+2 0 1 0 0 36 48 94 4.44089209850063e-16
+2 0 1 0 0 36 48 96 4.44089209850063e-16
+2 0 1 0 0 36 48 98 4.44089209850063e-16
+2 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 4.44089209850063e-16
+3 0 2 0 0 36 48 52 4.44089209850063e-16
+3 0 2 0 0 36 48 53 4.44089209850063e-16
+3 0 2 0 0 36 48 54 4.44089209850063e-16
+3 0 2 0 0 36 48 55 4.44089209850063e-16
+3 0 2 0 0 36 48 56 4.44089209850063e-16
+3 0 2 0 0 36 48 57 4.44089209850063e-16
+3 0 2 0 0 36 48 58 4.44089209850063e-16
+3 0 2 0 0 36 48 59 4.44089209850063e-16
+3 0 2 0 0 36 48 60 4.44089209850063e-16
+3 0 2 0 0 36 48 61 4.44089209850063e-16
+3 0 2 0 0 36 48 62 4.44089209850063e-16
+3 0 2 0 0 36 48 63 4.44089209850063e-16
+3 0 2 0 0 36 48 64 4.44089209850063e-16
+3 0 2 0 0 36 48 65 4.44089209850063e-16
+3 0 2 0 0 36 48 66 4.44089209850063e-16
+3 0 2 0 0 36 48 67 4.44089209850063e-16
+3 0 2 0 0 36 48 68 4.44089209850063e-16
+3 0 2 0 0 36 48 69 4.44089209850063e-16
+3 0 2 0 0 36 48 70 4.44089209850063e-16
+3 0 2 0 0 36 48 71 4.44089209850063e-16
+3 0 2 0 0 36 48 72 4.44089209850063e-16
+3 0 2 0 0 36 48 73 4.44089209850063e-16
+3 0 2 0 0 36 48 74 4.44089209850063e-16
+3 0 2 0 0 36 48 75 4.44089209850063e-16
+3 0 2 0 0 36 48 76 4.44089209850063e-16
+3 0 2 0 0 36 48 77 4.44089209850063e-16
+3 0 2 0 0 36 48 78 4.44089209850063e-16
+3 0 2 0 0 36 48 79 4.44089209850063e-16
+3 0 2 0 0 36 48 80 4.44089209850063e-16
+3 0 2 0 0 36 48 81 4.44089209850063e-16
+3 0 2 0 0 36 48 82 4.44089209850063e-16
+3 0 2 0 0 36 48 83 4.44089209850063e-16
+3 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 4.44089209850063e-16
+4 0 2 0 0 36 48 52 4.44089209850063e-16
+4 0 2 0 0 36 48 53 4.44089209850063e-16
+4 0 2 0 0 36 48 54 4.44089209850063e-16
+4 0 2 0 0 36 48 55 4.44089209850063e-16
+4 0 2 0 0 36 48 56 4.44089209850063e-16
+4 0 2 0 0 36 48 57 4.44089209850063e-16
+4 0 2 0 0 36 48 58 4.44089209850063e-16
+4 0 2 0 0 36 48 59 4.44089209850063e-16
+4 0 2 0 0 36 48 60 4.44089209850063e-16
+4 0 2 0 0 36 48 61 4.44089209850063e-16
+4 0 2 0 0 36 48 62 4.44089209850063e-16
+4 0 2 0 0 36 48 63 4.44089209850063e-16
+4 0 2 0 0 36 48 64 4.44089209850063e-16
+4 0 2 0 0 36 48 65 4.44089209850063e-16
+4 0 2 0 0 36 48 66 4.44089209850063e-16
+4 0 2 0 0 36 48 67 4.44089209850063e-16
+4 0 2 0 0 36 48 68 4.44089209850063e-16
+4 0 2 0 0 36 48 69 4.44089209850063e-16
+4 0 2 0 0 36 48 70 4.44089209850063e-16
+4 0 2 0 0 36 48 71 4.44089209850063e-16
+4 0 2 0 0 36 48 72 4.44089209850063e-16
+4 0 2 0 0 36 48 73 4.44089209850063e-16
+4 0 2 0 0 36 48 74 4.44089209850063e-16
+4 0 2 0 0 36 48 75 4.44089209850063e-16
+4 0 2 0 0 36 48 76 4.44089209850063e-16
+4 0 2 0 0 36 48 77 4.44089209850063e-16
+4 0 2 0 0 36 48 78 4.44089209850063e-16
+4 0 2 0 0 36 48 79 4.44089209850063e-16
+4 0 2 0 0 36 48 80 4.44089209850063e-16
+4 0 2 0 0 36 48 81 4.44089209850063e-16
+4 0 2 0 0 36 48 82 4.44089209850063e-16
+4 0 2 0 0 36 48 83 4.44089209850063e-16
+4 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 4.44089209850063e-16
+4 0 1 0 0 36 48 36 4.44089209850063e-16
+4 0 1 0 0 36 48 38 4.44089209850063e-16
+4 0 1 0 0 36 48 40 4.44089209850063e-16
+4 0 1 0 0 36 48 42 4.44089209850063e-16
+4 0 1 0 0 36 48 44 4.44089209850063e-16
+4 0 1 0 0 36 48 46 4.44089209850063e-16
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+4 0 1 0 0 36 48 58 4.44089209850063e-16
+4 0 1 0 0 36 48 60 4.44089209850063e-16
+4 0 1 0 0 36 48 62 4.44089209850063e-16
+4 0 1 0 0 36 48 64 4.44089209850063e-16
+4 0 1 0 0 36 48 66 4.44089209850063e-16
+4 0 1 0 0 36 48 68 4.44089209850063e-16
+4 0 1 0 0 36 48 70 4.44089209850063e-16
+4 0 1 0 0 36 48 72 4.44089209850063e-16
+4 0 1 0 0 36 48 74 4.44089209850063e-16
+4 0 1 0 0 36 48 76 4.44089209850063e-16
+4 0 1 0 0 36 48 78 4.44089209850063e-16
+4 0 1 0 0 36 48 80 4.44089209850063e-16
+4 0 1 0 0 36 48 82 4.44089209850063e-16
+4 0 1 0 0 36 48 84 4.44089209850063e-16
+4 0 1 0 0 36 48 86 4.44089209850063e-16
+4 0 1 0 0 36 48 88 4.44089209850063e-16
+4 0 1 0 0 36 48 90 4.44089209850063e-16
+4 0 1 0 0 36 48 92 4.44089209850063e-16
+4 0 1 0 0 36 48 94 4.44089209850063e-16
+4 0 1 0 0 36 48 96 4.44089209850063e-16
+4 0 1 0 0 36 48 98 4.44089209850063e-16
+4 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 4.44089209850063e-16
+4 0 0 0 0 36 48 4 4.44089209850063e-16
+4 0 0 0 0 36 48 8 4.44089209850063e-16
+4 0 0 0 0 36 48 12 4.44089209850063e-16
+4 0 0 0 0 36 48 16 4.44089209850063e-16
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+4 0 0 0 0 36 48 24 4.44089209850063e-16
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+4 0 0 0 0 36 48 36 4.44089209850063e-16
+4 0 0 0 0 36 48 40 4.44089209850063e-16
+4 0 0 0 0 36 48 44 4.44089209850063e-16
+4 0 0 0 0 36 48 48 4.44089209850063e-16
+4 0 0 0 0 36 48 52 4.44089209850063e-16
+4 0 0 0 0 36 48 56 4.44089209850063e-16
+4 0 0 0 0 36 48 60 4.44089209850063e-16
+4 0 0 0 0 36 48 64 4.44089209850063e-16
+4 0 0 0 0 36 48 68 4.44089209850063e-16
+4 0 0 0 0 36 48 72 4.44089209850063e-16
+4 0 0 0 0 36 48 76 4.44089209850063e-16
+4 0 0 0 0 36 48 80 4.44089209850063e-16
+4 0 0 0 0 36 48 84 4.44089209850063e-16
+4 0 0 0 0 36 48 88 4.44089209850063e-16
+4 0 0 0 0 36 48 92 4.44089209850063e-16
+4 0 0 0 0 36 48 96 4.44089209850063e-16
+4 0 0 0 0 36 48 100 4.44089209850063e-16
+4 0 0 0 0 36 48 104 4.44089209850063e-16
+4 0 0 0 0 36 48 108 4.44089209850063e-16
+4 0 0 0 0 36 48 112 4.44089209850063e-16
+4 0 0 0 0 36 48 116 4.44089209850063e-16
+4 0 0 0 0 36 48 120 4.44089209850063e-16
+4 0 0 0 0 36 48 124 4.44089209850063e-16
+4 0 0 0 0 36 48 128 4.44089209850063e-16
+4 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 4.44089209850063e-16
+5 0 2 0 0 36 48 52 4.44089209850063e-16
+5 0 2 0 0 36 48 53 4.44089209850063e-16
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+5 0 2 0 0 36 48 60 4.44089209850063e-16
+5 0 2 0 0 36 48 61 4.44089209850063e-16
+5 0 2 0 0 36 48 62 4.44089209850063e-16
+5 0 2 0 0 36 48 63 4.44089209850063e-16
+5 0 2 0 0 36 48 64 4.44089209850063e-16
+5 0 2 0 0 36 48 65 4.44089209850063e-16
+5 0 2 0 0 36 48 66 4.44089209850063e-16
+5 0 2 0 0 36 48 67 4.44089209850063e-16
+5 0 2 0 0 36 48 68 4.44089209850063e-16
+5 0 2 0 0 36 48 69 4.44089209850063e-16
+5 0 2 0 0 36 48 70 4.44089209850063e-16
+5 0 2 0 0 36 48 71 4.44089209850063e-16
+5 0 2 0 0 36 48 72 4.44089209850063e-16
+5 0 2 0 0 36 48 73 4.44089209850063e-16
+5 0 2 0 0 36 48 74 4.44089209850063e-16
+5 0 2 0 0 36 48 75 4.44089209850063e-16
+5 0 2 0 0 36 48 76 4.44089209850063e-16
+5 0 2 0 0 36 48 77 4.44089209850063e-16
+5 0 2 0 0 36 48 78 4.44089209850063e-16
+5 0 2 0 0 36 48 79 4.44089209850063e-16
+5 0 2 0 0 36 48 80 4.44089209850063e-16
+5 0 2 0 0 36 48 81 4.44089209850063e-16
+5 0 2 0 0 36 48 82 4.44089209850063e-16
+5 0 2 0 0 36 48 83 4.44089209850063e-16
+5 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 4.44089209850063e-16
+6 0 2 0 0 36 48 52 4.44089209850063e-16
+6 0 2 0 0 36 48 53 4.44089209850063e-16
+6 0 2 0 0 36 48 54 4.44089209850063e-16
+6 0 2 0 0 36 48 55 4.44089209850063e-16
+6 0 2 0 0 36 48 56 4.44089209850063e-16
+6 0 2 0 0 36 48 57 4.44089209850063e-16
+6 0 2 0 0 36 48 58 4.44089209850063e-16
+6 0 2 0 0 36 48 59 4.44089209850063e-16
+6 0 2 0 0 36 48 60 4.44089209850063e-16
+6 0 2 0 0 36 48 61 4.44089209850063e-16
+6 0 2 0 0 36 48 62 4.44089209850063e-16
+6 0 2 0 0 36 48 63 4.44089209850063e-16
+6 0 2 0 0 36 48 64 4.44089209850063e-16
+6 0 2 0 0 36 48 65 4.44089209850063e-16
+6 0 2 0 0 36 48 66 4.44089209850063e-16
+6 0 2 0 0 36 48 67 4.44089209850063e-16
+6 0 2 0 0 36 48 68 4.44089209850063e-16
+6 0 2 0 0 36 48 69 4.44089209850063e-16
+6 0 2 0 0 36 48 70 4.44089209850063e-16
+6 0 2 0 0 36 48 71 4.44089209850063e-16
+6 0 2 0 0 36 48 72 4.44089209850063e-16
+6 0 2 0 0 36 48 73 4.44089209850063e-16
+6 0 2 0 0 36 48 74 4.44089209850063e-16
+6 0 2 0 0 36 48 75 4.44089209850063e-16
+6 0 2 0 0 36 48 76 4.44089209850063e-16
+6 0 2 0 0 36 48 77 4.44089209850063e-16
+6 0 2 0 0 36 48 78 4.44089209850063e-16
+6 0 2 0 0 36 48 79 4.44089209850063e-16
+6 0 2 0 0 36 48 80 4.44089209850063e-16
+6 0 2 0 0 36 48 81 4.44089209850063e-16
+6 0 2 0 0 36 48 82 4.44089209850063e-16
+6 0 2 0 0 36 48 83 4.44089209850063e-16
+6 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 4.44089209850063e-16
+6 0 1 0 0 36 48 36 4.44089209850063e-16
+6 0 1 0 0 36 48 38 4.44089209850063e-16
+6 0 1 0 0 36 48 40 4.44089209850063e-16
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+6 0 1 0 0 36 48 48 4.44089209850063e-16
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+6 0 1 0 0 36 48 52 4.44089209850063e-16
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+6 0 1 0 0 36 48 56 4.44089209850063e-16
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+6 0 1 0 0 36 48 60 4.44089209850063e-16
+6 0 1 0 0 36 48 62 4.44089209850063e-16
+6 0 1 0 0 36 48 64 4.44089209850063e-16
+6 0 1 0 0 36 48 66 4.44089209850063e-16
+6 0 1 0 0 36 48 68 4.44089209850063e-16
+6 0 1 0 0 36 48 70 4.44089209850063e-16
+6 0 1 0 0 36 48 72 4.44089209850063e-16
+6 0 1 0 0 36 48 74 4.44089209850063e-16
+6 0 1 0 0 36 48 76 4.44089209850063e-16
+6 0 1 0 0 36 48 78 4.44089209850063e-16
+6 0 1 0 0 36 48 80 4.44089209850063e-16
+6 0 1 0 0 36 48 82 4.44089209850063e-16
+6 0 1 0 0 36 48 84 4.44089209850063e-16
+6 0 1 0 0 36 48 86 4.44089209850063e-16
+6 0 1 0 0 36 48 88 4.44089209850063e-16
+6 0 1 0 0 36 48 90 4.44089209850063e-16
+6 0 1 0 0 36 48 92 4.44089209850063e-16
+6 0 1 0 0 36 48 94 4.44089209850063e-16
+6 0 1 0 0 36 48 96 4.44089209850063e-16
+6 0 1 0 0 36 48 98 4.44089209850063e-16
+6 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 4.44089209850063e-16
+7 0 2 0 0 36 48 52 4.44089209850063e-16
+7 0 2 0 0 36 48 53 4.44089209850063e-16
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+7 0 2 0 0 36 48 60 4.44089209850063e-16
+7 0 2 0 0 36 48 61 4.44089209850063e-16
+7 0 2 0 0 36 48 62 4.44089209850063e-16
+7 0 2 0 0 36 48 63 4.44089209850063e-16
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+7 0 2 0 0 36 48 65 4.44089209850063e-16
+7 0 2 0 0 36 48 66 4.44089209850063e-16
+7 0 2 0 0 36 48 67 4.44089209850063e-16
+7 0 2 0 0 36 48 68 4.44089209850063e-16
+7 0 2 0 0 36 48 69 4.44089209850063e-16
+7 0 2 0 0 36 48 70 4.44089209850063e-16
+7 0 2 0 0 36 48 71 4.44089209850063e-16
+7 0 2 0 0 36 48 72 4.44089209850063e-16
+7 0 2 0 0 36 48 73 4.44089209850063e-16
+7 0 2 0 0 36 48 74 4.44089209850063e-16
+7 0 2 0 0 36 48 75 4.44089209850063e-16
+7 0 2 0 0 36 48 76 4.44089209850063e-16
+7 0 2 0 0 36 48 77 4.44089209850063e-16
+7 0 2 0 0 36 48 78 4.44089209850063e-16
+7 0 2 0 0 36 48 79 4.44089209850063e-16
+7 0 2 0 0 36 48 80 4.44089209850063e-16
+7 0 2 0 0 36 48 81 4.44089209850063e-16
+7 0 2 0 0 36 48 82 4.44089209850063e-16
+7 0 2 0 0 36 48 83 4.44089209850063e-16
+7 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 4.44089209850063e-16
+8 0 2 0 0 36 48 52 4.44089209850063e-16
+8 0 2 0 0 36 48 53 4.44089209850063e-16
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+8 0 2 0 0 36 48 55 4.44089209850063e-16
+8 0 2 0 0 36 48 56 4.44089209850063e-16
+8 0 2 0 0 36 48 57 4.44089209850063e-16
+8 0 2 0 0 36 48 58 4.44089209850063e-16
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+8 0 2 0 0 36 48 60 4.44089209850063e-16
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+8 0 2 0 0 36 48 65 4.44089209850063e-16
+8 0 2 0 0 36 48 66 4.44089209850063e-16
+8 0 2 0 0 36 48 67 4.44089209850063e-16
+8 0 2 0 0 36 48 68 4.44089209850063e-16
+8 0 2 0 0 36 48 69 4.44089209850063e-16
+8 0 2 0 0 36 48 70 4.44089209850063e-16
+8 0 2 0 0 36 48 71 4.44089209850063e-16
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+8 0 2 0 0 36 48 73 4.44089209850063e-16
+8 0 2 0 0 36 48 74 4.44089209850063e-16
+8 0 2 0 0 36 48 75 4.44089209850063e-16
+8 0 2 0 0 36 48 76 4.44089209850063e-16
+8 0 2 0 0 36 48 77 4.44089209850063e-16
+8 0 2 0 0 36 48 78 4.44089209850063e-16
+8 0 2 0 0 36 48 79 4.44089209850063e-16
+8 0 2 0 0 36 48 80 4.44089209850063e-16
+8 0 2 0 0 36 48 81 4.44089209850063e-16
+8 0 2 0 0 36 48 82 4.44089209850063e-16
+8 0 2 0 0 36 48 83 4.44089209850063e-16
+8 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 4.44089209850063e-16
+8 0 1 0 0 36 48 36 4.44089209850063e-16
+8 0 1 0 0 36 48 38 4.44089209850063e-16
+8 0 1 0 0 36 48 40 4.44089209850063e-16
+8 0 1 0 0 36 48 42 4.44089209850063e-16
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+8 0 1 0 0 36 48 48 4.44089209850063e-16
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+8 0 1 0 0 36 48 62 4.44089209850063e-16
+8 0 1 0 0 36 48 64 4.44089209850063e-16
+8 0 1 0 0 36 48 66 4.44089209850063e-16
+8 0 1 0 0 36 48 68 4.44089209850063e-16
+8 0 1 0 0 36 48 70 4.44089209850063e-16
+8 0 1 0 0 36 48 72 4.44089209850063e-16
+8 0 1 0 0 36 48 74 4.44089209850063e-16
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+8 0 1 0 0 36 48 78 4.44089209850063e-16
+8 0 1 0 0 36 48 80 4.44089209850063e-16
+8 0 1 0 0 36 48 82 4.44089209850063e-16
+8 0 1 0 0 36 48 84 4.44089209850063e-16
+8 0 1 0 0 36 48 86 4.44089209850063e-16
+8 0 1 0 0 36 48 88 4.44089209850063e-16
+8 0 1 0 0 36 48 90 4.44089209850063e-16
+8 0 1 0 0 36 48 92 4.44089209850063e-16
+8 0 1 0 0 36 48 94 4.44089209850063e-16
+8 0 1 0 0 36 48 96 4.44089209850063e-16
+8 0 1 0 0 36 48 98 4.44089209850063e-16
+8 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 4.44089209850063e-16
+8 0 0 0 0 36 48 4 4.44089209850063e-16
+8 0 0 0 0 36 48 8 4.44089209850063e-16
+8 0 0 0 0 36 48 12 4.44089209850063e-16
+8 0 0 0 0 36 48 16 4.44089209850063e-16
+8 0 0 0 0 36 48 20 4.44089209850063e-16
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+8 0 0 0 0 36 48 28 4.44089209850063e-16
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+8 0 0 0 0 36 48 36 4.44089209850063e-16
+8 0 0 0 0 36 48 40 4.44089209850063e-16
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+8 0 0 0 0 36 48 48 4.44089209850063e-16
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+8 0 0 0 0 36 48 56 4.44089209850063e-16
+8 0 0 0 0 36 48 60 4.44089209850063e-16
+8 0 0 0 0 36 48 64 4.44089209850063e-16
+8 0 0 0 0 36 48 68 4.44089209850063e-16
+8 0 0 0 0 36 48 72 4.44089209850063e-16
+8 0 0 0 0 36 48 76 4.44089209850063e-16
+8 0 0 0 0 36 48 80 4.44089209850063e-16
+8 0 0 0 0 36 48 84 4.44089209850063e-16
+8 0 0 0 0 36 48 88 4.44089209850063e-16
+8 0 0 0 0 36 48 92 4.44089209850063e-16
+8 0 0 0 0 36 48 96 4.44089209850063e-16
+8 0 0 0 0 36 48 100 4.44089209850063e-16
+8 0 0 0 0 36 48 104 4.44089209850063e-16
+8 0 0 0 0 36 48 108 4.44089209850063e-16
+8 0 0 0 0 36 48 112 4.44089209850063e-16
+8 0 0 0 0 36 48 116 4.44089209850063e-16
+8 0 0 0 0 36 48 120 4.44089209850063e-16
+8 0 0 0 0 36 48 124 4.44089209850063e-16
+8 0 0 0 0 36 48 128 4.44089209850063e-16
+8 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 4.44089209850063e-16
+9 0 2 0 0 36 48 52 4.44089209850063e-16
+9 0 2 0 0 36 48 53 4.44089209850063e-16
+9 0 2 0 0 36 48 54 4.44089209850063e-16
+9 0 2 0 0 36 48 55 4.44089209850063e-16
+9 0 2 0 0 36 48 56 4.44089209850063e-16
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+9 0 2 0 0 36 48 65 4.44089209850063e-16
+9 0 2 0 0 36 48 66 4.44089209850063e-16
+9 0 2 0 0 36 48 67 4.44089209850063e-16
+9 0 2 0 0 36 48 68 4.44089209850063e-16
+9 0 2 0 0 36 48 69 4.44089209850063e-16
+9 0 2 0 0 36 48 70 4.44089209850063e-16
+9 0 2 0 0 36 48 71 4.44089209850063e-16
+9 0 2 0 0 36 48 72 4.44089209850063e-16
+9 0 2 0 0 36 48 73 4.44089209850063e-16
+9 0 2 0 0 36 48 74 4.44089209850063e-16
+9 0 2 0 0 36 48 75 4.44089209850063e-16
+9 0 2 0 0 36 48 76 4.44089209850063e-16
+9 0 2 0 0 36 48 77 4.44089209850063e-16
+9 0 2 0 0 36 48 78 4.44089209850063e-16
+9 0 2 0 0 36 48 79 4.44089209850063e-16
+9 0 2 0 0 36 48 80 4.44089209850063e-16
+9 0 2 0 0 36 48 81 4.44089209850063e-16
+9 0 2 0 0 36 48 82 4.44089209850063e-16
+9 0 2 0 0 36 48 83 4.44089209850063e-16
+9 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 4.44089209850063e-16
+10 0 2 0 0 36 48 52 4.44089209850063e-16
+10 0 2 0 0 36 48 53 4.44089209850063e-16
+10 0 2 0 0 36 48 54 4.44089209850063e-16
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+10 0 2 0 0 36 48 56 4.44089209850063e-16
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+10 0 2 0 0 36 48 63 4.44089209850063e-16
+10 0 2 0 0 36 48 64 4.44089209850063e-16
+10 0 2 0 0 36 48 65 4.44089209850063e-16
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+10 0 2 0 0 36 48 67 4.44089209850063e-16
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+10 0 2 0 0 36 48 69 4.44089209850063e-16
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+10 0 2 0 0 36 48 82 4.44089209850063e-16
+10 0 2 0 0 36 48 83 4.44089209850063e-16
+10 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 4.44089209850063e-16
+10 0 1 0 0 36 48 36 4.44089209850063e-16
+10 0 1 0 0 36 48 38 4.44089209850063e-16
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+10 0 1 0 0 36 48 90 4.44089209850063e-16
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+10 0 1 0 0 36 48 96 4.44089209850063e-16
+10 0 1 0 0 36 48 98 4.44089209850063e-16
+10 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 4.44089209850063e-16
+11 0 2 0 0 36 48 52 4.44089209850063e-16
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+11 0 2 0 0 36 48 77 4.44089209850063e-16
+11 0 2 0 0 36 48 78 4.44089209850063e-16
+11 0 2 0 0 36 48 79 4.44089209850063e-16
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+11 0 2 0 0 36 48 81 4.44089209850063e-16
+11 0 2 0 0 36 48 82 4.44089209850063e-16
+11 0 2 0 0 36 48 83 4.44089209850063e-16
+11 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 4.44089209850063e-16
+12 0 2 0 0 36 48 52 4.44089209850063e-16
+12 0 2 0 0 36 48 53 4.44089209850063e-16
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+12 0 2 0 0 36 48 77 4.44089209850063e-16
+12 0 2 0 0 36 48 78 4.44089209850063e-16
+12 0 2 0 0 36 48 79 4.44089209850063e-16
+12 0 2 0 0 36 48 80 4.44089209850063e-16
+12 0 2 0 0 36 48 81 4.44089209850063e-16
+12 0 2 0 0 36 48 82 4.44089209850063e-16
+12 0 2 0 0 36 48 83 4.44089209850063e-16
+12 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 4.44089209850063e-16
+12 0 1 0 0 36 48 36 4.44089209850063e-16
+12 0 1 0 0 36 48 38 4.44089209850063e-16
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+12 0 1 0 0 36 48 86 4.44089209850063e-16
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+12 0 1 0 0 36 48 90 4.44089209850063e-16
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+12 0 1 0 0 36 48 96 4.44089209850063e-16
+12 0 1 0 0 36 48 98 4.44089209850063e-16
+12 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 4.44089209850063e-16
+12 0 0 0 0 36 48 4 4.44089209850063e-16
+12 0 0 0 0 36 48 8 4.44089209850063e-16
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+12 0 0 0 0 36 48 104 4.44089209850063e-16
+12 0 0 0 0 36 48 108 4.44089209850063e-16
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+12 0 0 0 0 36 48 128 4.44089209850063e-16
+12 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 4.44089209850063e-16
+13 0 2 0 0 36 48 52 4.44089209850063e-16
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+13 0 2 0 0 36 48 83 4.44089209850063e-16
+13 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 4.44089209850063e-16
+14 0 2 0 0 36 48 52 4.44089209850063e-16
+14 0 2 0 0 36 48 53 4.44089209850063e-16
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+14 0 2 0 0 36 48 77 4.44089209850063e-16
+14 0 2 0 0 36 48 78 4.44089209850063e-16
+14 0 2 0 0 36 48 79 4.44089209850063e-16
+14 0 2 0 0 36 48 80 4.44089209850063e-16
+14 0 2 0 0 36 48 81 4.44089209850063e-16
+14 0 2 0 0 36 48 82 4.44089209850063e-16
+14 0 2 0 0 36 48 83 4.44089209850063e-16
+14 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 4.44089209850063e-16
+14 0 1 0 0 36 48 36 4.44089209850063e-16
+14 0 1 0 0 36 48 38 4.44089209850063e-16
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+14 0 1 0 0 36 48 86 4.44089209850063e-16
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+14 0 1 0 0 36 48 90 4.44089209850063e-16
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+14 0 1 0 0 36 48 98 4.44089209850063e-16
+14 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 4.44089209850063e-16
+15 0 2 0 0 36 48 52 4.44089209850063e-16
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+15 0 2 0 0 36 48 77 4.44089209850063e-16
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+15 0 2 0 0 36 48 79 4.44089209850063e-16
+15 0 2 0 0 36 48 80 4.44089209850063e-16
+15 0 2 0 0 36 48 81 4.44089209850063e-16
+15 0 2 0 0 36 48 82 4.44089209850063e-16
+15 0 2 0 0 36 48 83 4.44089209850063e-16
+15 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 4.44089209850063e-16
+16 0 2 0 0 36 48 52 4.44089209850063e-16
+16 0 2 0 0 36 48 53 4.44089209850063e-16
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+16 0 2 0 0 36 48 83 4.44089209850063e-16
+16 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 4.44089209850063e-16
+16 0 1 0 0 36 48 36 4.44089209850063e-16
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+16 0 1 0 0 36 48 98 4.44089209850063e-16
+16 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 4.44089209850063e-16
+16 0 0 0 0 36 48 4 4.44089209850063e-16
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+16 0 0 0 0 36 48 128 4.44089209850063e-16
+16 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 4.44089209850063e-16
+17 0 2 0 0 36 48 52 4.44089209850063e-16
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+17 0 2 0 0 36 48 83 4.44089209850063e-16
+17 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 4.44089209850063e-16
+18 0 2 0 0 36 48 52 4.44089209850063e-16
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+18 0 2 0 0 36 48 83 4.44089209850063e-16
+18 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 4.44089209850063e-16
+18 0 1 0 0 36 48 36 4.44089209850063e-16
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+18 0 1 0 0 36 48 98 4.44089209850063e-16
+18 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 4.44089209850063e-16
+19 0 2 0 0 36 48 52 4.44089209850063e-16
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+19 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 4.44089209850063e-16
+20 0 2 0 0 36 48 52 4.44089209850063e-16
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+20 0 2 0 0 36 48 79 4.44089209850063e-16
+20 0 2 0 0 36 48 80 4.44089209850063e-16
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+20 0 2 0 0 36 48 83 4.44089209850063e-16
+20 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 4.44089209850063e-16
+20 0 1 0 0 36 48 36 4.44089209850063e-16
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+20 0 1 0 0 36 48 98 4.44089209850063e-16
+20 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 4.44089209850063e-16
+20 0 0 0 0 36 48 4 4.44089209850063e-16
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+20 0 0 0 0 36 48 128 4.44089209850063e-16
+20 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 4.44089209850063e-16
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+21 0 2 0 0 36 48 80 4.44089209850063e-16
+21 0 2 0 0 36 48 81 4.44089209850063e-16
+21 0 2 0 0 36 48 82 4.44089209850063e-16
+21 0 2 0 0 36 48 83 4.44089209850063e-16
+21 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 4.44089209850063e-16
+22 0 2 0 0 36 48 52 4.44089209850063e-16
+22 0 2 0 0 36 48 53 4.44089209850063e-16
+22 0 2 0 0 36 48 54 4.44089209850063e-16
+22 0 2 0 0 36 48 55 4.44089209850063e-16
+22 0 2 0 0 36 48 56 4.44089209850063e-16
+22 0 2 0 0 36 48 57 4.44089209850063e-16
+22 0 2 0 0 36 48 58 4.44089209850063e-16
+22 0 2 0 0 36 48 59 4.44089209850063e-16
+22 0 2 0 0 36 48 60 4.44089209850063e-16
+22 0 2 0 0 36 48 61 4.44089209850063e-16
+22 0 2 0 0 36 48 62 4.44089209850063e-16
+22 0 2 0 0 36 48 63 4.44089209850063e-16
+22 0 2 0 0 36 48 64 4.44089209850063e-16
+22 0 2 0 0 36 48 65 4.44089209850063e-16
+22 0 2 0 0 36 48 66 4.44089209850063e-16
+22 0 2 0 0 36 48 67 4.44089209850063e-16
+22 0 2 0 0 36 48 68 4.44089209850063e-16
+22 0 2 0 0 36 48 69 4.44089209850063e-16
+22 0 2 0 0 36 48 70 4.44089209850063e-16
+22 0 2 0 0 36 48 71 4.44089209850063e-16
+22 0 2 0 0 36 48 72 4.44089209850063e-16
+22 0 2 0 0 36 48 73 4.44089209850063e-16
+22 0 2 0 0 36 48 74 4.44089209850063e-16
+22 0 2 0 0 36 48 75 4.44089209850063e-16
+22 0 2 0 0 36 48 76 4.44089209850063e-16
+22 0 2 0 0 36 48 77 4.44089209850063e-16
+22 0 2 0 0 36 48 78 4.44089209850063e-16
+22 0 2 0 0 36 48 79 4.44089209850063e-16
+22 0 2 0 0 36 48 80 4.44089209850063e-16
+22 0 2 0 0 36 48 81 4.44089209850063e-16
+22 0 2 0 0 36 48 82 4.44089209850063e-16
+22 0 2 0 0 36 48 83 4.44089209850063e-16
+22 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 4.44089209850063e-16
+22 0 1 0 0 36 48 36 4.44089209850063e-16
+22 0 1 0 0 36 48 38 4.44089209850063e-16
+22 0 1 0 0 36 48 40 4.44089209850063e-16
+22 0 1 0 0 36 48 42 4.44089209850063e-16
+22 0 1 0 0 36 48 44 4.44089209850063e-16
+22 0 1 0 0 36 48 46 4.44089209850063e-16
+22 0 1 0 0 36 48 48 4.44089209850063e-16
+22 0 1 0 0 36 48 50 4.44089209850063e-16
+22 0 1 0 0 36 48 52 4.44089209850063e-16
+22 0 1 0 0 36 48 54 4.44089209850063e-16
+22 0 1 0 0 36 48 56 4.44089209850063e-16
+22 0 1 0 0 36 48 58 4.44089209850063e-16
+22 0 1 0 0 36 48 60 4.44089209850063e-16
+22 0 1 0 0 36 48 62 4.44089209850063e-16
+22 0 1 0 0 36 48 64 4.44089209850063e-16
+22 0 1 0 0 36 48 66 4.44089209850063e-16
+22 0 1 0 0 36 48 68 4.44089209850063e-16
+22 0 1 0 0 36 48 70 4.44089209850063e-16
+22 0 1 0 0 36 48 72 4.44089209850063e-16
+22 0 1 0 0 36 48 74 4.44089209850063e-16
+22 0 1 0 0 36 48 76 4.44089209850063e-16
+22 0 1 0 0 36 48 78 4.44089209850063e-16
+22 0 1 0 0 36 48 80 4.44089209850063e-16
+22 0 1 0 0 36 48 82 4.44089209850063e-16
+22 0 1 0 0 36 48 84 4.44089209850063e-16
+22 0 1 0 0 36 48 86 4.44089209850063e-16
+22 0 1 0 0 36 48 88 4.44089209850063e-16
+22 0 1 0 0 36 48 90 4.44089209850063e-16
+22 0 1 0 0 36 48 92 4.44089209850063e-16
+22 0 1 0 0 36 48 94 4.44089209850063e-16
+22 0 1 0 0 36 48 96 4.44089209850063e-16
+22 0 1 0 0 36 48 98 4.44089209850063e-16
+22 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 4.44089209850063e-16
+23 0 2 0 0 36 48 52 4.44089209850063e-16
+23 0 2 0 0 36 48 53 4.44089209850063e-16
+23 0 2 0 0 36 48 54 4.44089209850063e-16
+23 0 2 0 0 36 48 55 4.44089209850063e-16
+23 0 2 0 0 36 48 56 4.44089209850063e-16
+23 0 2 0 0 36 48 57 4.44089209850063e-16
+23 0 2 0 0 36 48 58 4.44089209850063e-16
+23 0 2 0 0 36 48 59 4.44089209850063e-16
+23 0 2 0 0 36 48 60 4.44089209850063e-16
+23 0 2 0 0 36 48 61 4.44089209850063e-16
+23 0 2 0 0 36 48 62 4.44089209850063e-16
+23 0 2 0 0 36 48 63 4.44089209850063e-16
+23 0 2 0 0 36 48 64 4.44089209850063e-16
+23 0 2 0 0 36 48 65 4.44089209850063e-16
+23 0 2 0 0 36 48 66 4.44089209850063e-16
+23 0 2 0 0 36 48 67 4.44089209850063e-16
+23 0 2 0 0 36 48 68 4.44089209850063e-16
+23 0 2 0 0 36 48 69 4.44089209850063e-16
+23 0 2 0 0 36 48 70 4.44089209850063e-16
+23 0 2 0 0 36 48 71 4.44089209850063e-16
+23 0 2 0 0 36 48 72 4.44089209850063e-16
+23 0 2 0 0 36 48 73 4.44089209850063e-16
+23 0 2 0 0 36 48 74 4.44089209850063e-16
+23 0 2 0 0 36 48 75 4.44089209850063e-16
+23 0 2 0 0 36 48 76 4.44089209850063e-16
+23 0 2 0 0 36 48 77 4.44089209850063e-16
+23 0 2 0 0 36 48 78 4.44089209850063e-16
+23 0 2 0 0 36 48 79 4.44089209850063e-16
+23 0 2 0 0 36 48 80 4.44089209850063e-16
+23 0 2 0 0 36 48 81 4.44089209850063e-16
+23 0 2 0 0 36 48 82 4.44089209850063e-16
+23 0 2 0 0 36 48 83 4.44089209850063e-16
+23 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 4.44089209850063e-16
+24 0 2 0 0 36 48 52 4.44089209850063e-16
+24 0 2 0 0 36 48 53 4.44089209850063e-16
+24 0 2 0 0 36 48 54 4.44089209850063e-16
+24 0 2 0 0 36 48 55 4.44089209850063e-16
+24 0 2 0 0 36 48 56 4.44089209850063e-16
+24 0 2 0 0 36 48 57 4.44089209850063e-16
+24 0 2 0 0 36 48 58 4.44089209850063e-16
+24 0 2 0 0 36 48 59 4.44089209850063e-16
+24 0 2 0 0 36 48 60 4.44089209850063e-16
+24 0 2 0 0 36 48 61 4.44089209850063e-16
+24 0 2 0 0 36 48 62 4.44089209850063e-16
+24 0 2 0 0 36 48 63 4.44089209850063e-16
+24 0 2 0 0 36 48 64 4.44089209850063e-16
+24 0 2 0 0 36 48 65 4.44089209850063e-16
+24 0 2 0 0 36 48 66 4.44089209850063e-16
+24 0 2 0 0 36 48 67 4.44089209850063e-16
+24 0 2 0 0 36 48 68 4.44089209850063e-16
+24 0 2 0 0 36 48 69 4.44089209850063e-16
+24 0 2 0 0 36 48 70 4.44089209850063e-16
+24 0 2 0 0 36 48 71 4.44089209850063e-16
+24 0 2 0 0 36 48 72 4.44089209850063e-16
+24 0 2 0 0 36 48 73 4.44089209850063e-16
+24 0 2 0 0 36 48 74 4.44089209850063e-16
+24 0 2 0 0 36 48 75 4.44089209850063e-16
+24 0 2 0 0 36 48 76 4.44089209850063e-16
+24 0 2 0 0 36 48 77 4.44089209850063e-16
+24 0 2 0 0 36 48 78 4.44089209850063e-16
+24 0 2 0 0 36 48 79 4.44089209850063e-16
+24 0 2 0 0 36 48 80 4.44089209850063e-16
+24 0 2 0 0 36 48 81 4.44089209850063e-16
+24 0 2 0 0 36 48 82 4.44089209850063e-16
+24 0 2 0 0 36 48 83 4.44089209850063e-16
+24 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 4.44089209850063e-16
+24 0 1 0 0 36 48 36 4.44089209850063e-16
+24 0 1 0 0 36 48 38 4.44089209850063e-16
+24 0 1 0 0 36 48 40 4.44089209850063e-16
+24 0 1 0 0 36 48 42 4.44089209850063e-16
+24 0 1 0 0 36 48 44 4.44089209850063e-16
+24 0 1 0 0 36 48 46 4.44089209850063e-16
+24 0 1 0 0 36 48 48 4.44089209850063e-16
+24 0 1 0 0 36 48 50 4.44089209850063e-16
+24 0 1 0 0 36 48 52 4.44089209850063e-16
+24 0 1 0 0 36 48 54 4.44089209850063e-16
+24 0 1 0 0 36 48 56 4.44089209850063e-16
+24 0 1 0 0 36 48 58 4.44089209850063e-16
+24 0 1 0 0 36 48 60 4.44089209850063e-16
+24 0 1 0 0 36 48 62 4.44089209850063e-16
+24 0 1 0 0 36 48 64 4.44089209850063e-16
+24 0 1 0 0 36 48 66 4.44089209850063e-16
+24 0 1 0 0 36 48 68 4.44089209850063e-16
+24 0 1 0 0 36 48 70 4.44089209850063e-16
+24 0 1 0 0 36 48 72 4.44089209850063e-16
+24 0 1 0 0 36 48 74 4.44089209850063e-16
+24 0 1 0 0 36 48 76 4.44089209850063e-16
+24 0 1 0 0 36 48 78 4.44089209850063e-16
+24 0 1 0 0 36 48 80 4.44089209850063e-16
+24 0 1 0 0 36 48 82 4.44089209850063e-16
+24 0 1 0 0 36 48 84 4.44089209850063e-16
+24 0 1 0 0 36 48 86 4.44089209850063e-16
+24 0 1 0 0 36 48 88 4.44089209850063e-16
+24 0 1 0 0 36 48 90 4.44089209850063e-16
+24 0 1 0 0 36 48 92 4.44089209850063e-16
+24 0 1 0 0 36 48 94 4.44089209850063e-16
+24 0 1 0 0 36 48 96 4.44089209850063e-16
+24 0 1 0 0 36 48 98 4.44089209850063e-16
+24 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 4.44089209850063e-16
+24 0 0 0 0 36 48 4 4.44089209850063e-16
+24 0 0 0 0 36 48 8 4.44089209850063e-16
+24 0 0 0 0 36 48 12 4.44089209850063e-16
+24 0 0 0 0 36 48 16 4.44089209850063e-16
+24 0 0 0 0 36 48 20 4.44089209850063e-16
+24 0 0 0 0 36 48 24 4.44089209850063e-16
+24 0 0 0 0 36 48 28 4.44089209850063e-16
+24 0 0 0 0 36 48 32 4.44089209850063e-16
+24 0 0 0 0 36 48 36 4.44089209850063e-16
+24 0 0 0 0 36 48 40 4.44089209850063e-16
+24 0 0 0 0 36 48 44 4.44089209850063e-16
+24 0 0 0 0 36 48 48 4.44089209850063e-16
+24 0 0 0 0 36 48 52 4.44089209850063e-16
+24 0 0 0 0 36 48 56 4.44089209850063e-16
+24 0 0 0 0 36 48 60 4.44089209850063e-16
+24 0 0 0 0 36 48 64 4.44089209850063e-16
+24 0 0 0 0 36 48 68 4.44089209850063e-16
+24 0 0 0 0 36 48 72 4.44089209850063e-16
+24 0 0 0 0 36 48 76 4.44089209850063e-16
+24 0 0 0 0 36 48 80 4.44089209850063e-16
+24 0 0 0 0 36 48 84 4.44089209850063e-16
+24 0 0 0 0 36 48 88 4.44089209850063e-16
+24 0 0 0 0 36 48 92 4.44089209850063e-16
+24 0 0 0 0 36 48 96 4.44089209850063e-16
+24 0 0 0 0 36 48 100 4.44089209850063e-16
+24 0 0 0 0 36 48 104 4.44089209850063e-16
+24 0 0 0 0 36 48 108 4.44089209850063e-16
+24 0 0 0 0 36 48 112 4.44089209850063e-16
+24 0 0 0 0 36 48 116 4.44089209850063e-16
+24 0 0 0 0 36 48 120 4.44089209850063e-16
+24 0 0 0 0 36 48 124 4.44089209850063e-16
+24 0 0 0 0 36 48 128 4.44089209850063e-16
+24 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.xl
new file mode 100644
index 000000000..4954a39ff
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.xl
@@ -0,0 +1,1082 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 -4.44089209850063e-16
+0 0 2 0 0 28 48 64 -4.44089209850063e-16
+0 0 2 0 0 29 48 64 -4.44089209850063e-16
+0 0 2 0 0 30 48 64 -4.44089209850063e-16
+0 0 2 0 0 31 48 64 -4.44089209850063e-16
+0 0 2 0 0 32 48 64 -4.44089209850063e-16
+0 0 2 0 0 33 48 64 -4.44089209850063e-16
+0 0 2 0 0 34 48 64 -4.44089209850063e-16
+0 0 2 0 0 35 48 64 -4.44089209850063e-16
+0 0 2 0 0 36 48 64 -4.44089209850063e-16
+0 0 2 0 0 37 48 64 -4.44089209850063e-16
+0 0 2 0 0 38 48 64 -4.44089209850063e-16
+0 0 2 0 0 39 48 64 -4.44089209850063e-16
+0 0 2 0 0 40 48 64 -4.44089209850063e-16
+0 0 2 0 0 41 48 64 -4.44089209850063e-16
+0 0 2 0 0 42 48 64 -4.44089209850063e-16
+0 0 2 0 0 43 48 64 -4.44089209850063e-16
+0 0 2 0 0 44 48 64 -4.44089209850063e-16
+0 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -4.44089209850063e-16
+0 0 1 0 0 20 48 64 -4.44089209850063e-16
+0 0 1 0 0 22 48 64 -4.44089209850063e-16
+0 0 1 0 0 24 48 64 -4.44089209850063e-16
+0 0 1 0 0 26 48 64 -4.44089209850063e-16
+0 0 1 0 0 28 48 64 -4.44089209850063e-16
+0 0 1 0 0 30 48 64 -4.44089209850063e-16
+0 0 1 0 0 32 48 64 -4.44089209850063e-16
+0 0 1 0 0 34 48 64 -4.44089209850063e-16
+0 0 1 0 0 36 48 64 -4.44089209850063e-16
+0 0 1 0 0 38 48 64 -4.44089209850063e-16
+0 0 1 0 0 40 48 64 -4.44089209850063e-16
+0 0 1 0 0 42 48 64 -4.44089209850063e-16
+0 0 1 0 0 44 48 64 -4.44089209850063e-16
+0 0 1 0 0 46 48 64 -4.44089209850063e-16
+0 0 1 0 0 48 48 64 -4.44089209850063e-16
+0 0 1 0 0 50 48 64 -4.44089209850063e-16
+0 0 1 0 0 52 48 64 -4.44089209850063e-16
+0 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -4.44089209850063e-16
+0 0 0 0 0 4 48 64 -4.44089209850063e-16
+0 0 0 0 0 8 48 64 -4.44089209850063e-16
+0 0 0 0 0 12 48 64 -4.44089209850063e-16
+0 0 0 0 0 16 48 64 -4.44089209850063e-16
+0 0 0 0 0 20 48 64 -4.44089209850063e-16
+0 0 0 0 0 24 48 64 -4.44089209850063e-16
+0 0 0 0 0 28 48 64 -4.44089209850063e-16
+0 0 0 0 0 32 48 64 -4.44089209850063e-16
+0 0 0 0 0 36 48 64 -4.44089209850063e-16
+0 0 0 0 0 40 48 64 -4.44089209850063e-16
+0 0 0 0 0 44 48 64 -4.44089209850063e-16
+0 0 0 0 0 48 48 64 -4.44089209850063e-16
+0 0 0 0 0 52 48 64 -4.44089209850063e-16
+0 0 0 0 0 56 48 64 -4.44089209850063e-16
+0 0 0 0 0 60 48 64 -4.44089209850063e-16
+0 0 0 0 0 64 48 64 -4.44089209850063e-16
+0 0 0 0 0 68 48 64 -4.44089209850063e-16
+0 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 -4.44089209850063e-16
+1 0 2 0 0 28 48 64 -4.44089209850063e-16
+1 0 2 0 0 29 48 64 -4.44089209850063e-16
+1 0 2 0 0 30 48 64 -4.44089209850063e-16
+1 0 2 0 0 31 48 64 -4.44089209850063e-16
+1 0 2 0 0 32 48 64 -4.44089209850063e-16
+1 0 2 0 0 33 48 64 -4.44089209850063e-16
+1 0 2 0 0 34 48 64 -4.44089209850063e-16
+1 0 2 0 0 35 48 64 -4.44089209850063e-16
+1 0 2 0 0 36 48 64 -4.44089209850063e-16
+1 0 2 0 0 37 48 64 -4.44089209850063e-16
+1 0 2 0 0 38 48 64 -4.44089209850063e-16
+1 0 2 0 0 39 48 64 -4.44089209850063e-16
+1 0 2 0 0 40 48 64 -4.44089209850063e-16
+1 0 2 0 0 41 48 64 -4.44089209850063e-16
+1 0 2 0 0 42 48 64 -4.44089209850063e-16
+1 0 2 0 0 43 48 64 -4.44089209850063e-16
+1 0 2 0 0 44 48 64 -4.44089209850063e-16
+1 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 -4.44089209850063e-16
+2 0 2 0 0 28 48 64 -4.44089209850063e-16
+2 0 2 0 0 29 48 64 -4.44089209850063e-16
+2 0 2 0 0 30 48 64 -4.44089209850063e-16
+2 0 2 0 0 31 48 64 -4.44089209850063e-16
+2 0 2 0 0 32 48 64 -4.44089209850063e-16
+2 0 2 0 0 33 48 64 -4.44089209850063e-16
+2 0 2 0 0 34 48 64 -4.44089209850063e-16
+2 0 2 0 0 35 48 64 -4.44089209850063e-16
+2 0 2 0 0 36 48 64 -4.44089209850063e-16
+2 0 2 0 0 37 48 64 -4.44089209850063e-16
+2 0 2 0 0 38 48 64 -4.44089209850063e-16
+2 0 2 0 0 39 48 64 -4.44089209850063e-16
+2 0 2 0 0 40 48 64 -4.44089209850063e-16
+2 0 2 0 0 41 48 64 -4.44089209850063e-16
+2 0 2 0 0 42 48 64 -4.44089209850063e-16
+2 0 2 0 0 43 48 64 -4.44089209850063e-16
+2 0 2 0 0 44 48 64 -4.44089209850063e-16
+2 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -4.44089209850063e-16
+2 0 1 0 0 20 48 64 -4.44089209850063e-16
+2 0 1 0 0 22 48 64 -4.44089209850063e-16
+2 0 1 0 0 24 48 64 -4.44089209850063e-16
+2 0 1 0 0 26 48 64 -4.44089209850063e-16
+2 0 1 0 0 28 48 64 -4.44089209850063e-16
+2 0 1 0 0 30 48 64 -4.44089209850063e-16
+2 0 1 0 0 32 48 64 -4.44089209850063e-16
+2 0 1 0 0 34 48 64 -4.44089209850063e-16
+2 0 1 0 0 36 48 64 -4.44089209850063e-16
+2 0 1 0 0 38 48 64 -4.44089209850063e-16
+2 0 1 0 0 40 48 64 -4.44089209850063e-16
+2 0 1 0 0 42 48 64 -4.44089209850063e-16
+2 0 1 0 0 44 48 64 -4.44089209850063e-16
+2 0 1 0 0 46 48 64 -4.44089209850063e-16
+2 0 1 0 0 48 48 64 -4.44089209850063e-16
+2 0 1 0 0 50 48 64 -4.44089209850063e-16
+2 0 1 0 0 52 48 64 -4.44089209850063e-16
+2 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 -4.44089209850063e-16
+3 0 2 0 0 28 48 64 -4.44089209850063e-16
+3 0 2 0 0 29 48 64 -4.44089209850063e-16
+3 0 2 0 0 30 48 64 -4.44089209850063e-16
+3 0 2 0 0 31 48 64 -4.44089209850063e-16
+3 0 2 0 0 32 48 64 -4.44089209850063e-16
+3 0 2 0 0 33 48 64 -4.44089209850063e-16
+3 0 2 0 0 34 48 64 -4.44089209850063e-16
+3 0 2 0 0 35 48 64 -4.44089209850063e-16
+3 0 2 0 0 36 48 64 -4.44089209850063e-16
+3 0 2 0 0 37 48 64 -4.44089209850063e-16
+3 0 2 0 0 38 48 64 -4.44089209850063e-16
+3 0 2 0 0 39 48 64 -4.44089209850063e-16
+3 0 2 0 0 40 48 64 -4.44089209850063e-16
+3 0 2 0 0 41 48 64 -4.44089209850063e-16
+3 0 2 0 0 42 48 64 -4.44089209850063e-16
+3 0 2 0 0 43 48 64 -4.44089209850063e-16
+3 0 2 0 0 44 48 64 -4.44089209850063e-16
+3 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 -4.44089209850063e-16
+4 0 2 0 0 28 48 64 -4.44089209850063e-16
+4 0 2 0 0 29 48 64 -4.44089209850063e-16
+4 0 2 0 0 30 48 64 -4.44089209850063e-16
+4 0 2 0 0 31 48 64 -4.44089209850063e-16
+4 0 2 0 0 32 48 64 -4.44089209850063e-16
+4 0 2 0 0 33 48 64 -4.44089209850063e-16
+4 0 2 0 0 34 48 64 -4.44089209850063e-16
+4 0 2 0 0 35 48 64 -4.44089209850063e-16
+4 0 2 0 0 36 48 64 -4.44089209850063e-16
+4 0 2 0 0 37 48 64 -4.44089209850063e-16
+4 0 2 0 0 38 48 64 -4.44089209850063e-16
+4 0 2 0 0 39 48 64 -4.44089209850063e-16
+4 0 2 0 0 40 48 64 -4.44089209850063e-16
+4 0 2 0 0 41 48 64 -4.44089209850063e-16
+4 0 2 0 0 42 48 64 -4.44089209850063e-16
+4 0 2 0 0 43 48 64 -4.44089209850063e-16
+4 0 2 0 0 44 48 64 -4.44089209850063e-16
+4 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 -4.44089209850063e-16
+4 0 1 0 0 20 48 64 -4.44089209850063e-16
+4 0 1 0 0 22 48 64 -4.44089209850063e-16
+4 0 1 0 0 24 48 64 -4.44089209850063e-16
+4 0 1 0 0 26 48 64 -4.44089209850063e-16
+4 0 1 0 0 28 48 64 -4.44089209850063e-16
+4 0 1 0 0 30 48 64 -4.44089209850063e-16
+4 0 1 0 0 32 48 64 -4.44089209850063e-16
+4 0 1 0 0 34 48 64 -4.44089209850063e-16
+4 0 1 0 0 36 48 64 -4.44089209850063e-16
+4 0 1 0 0 38 48 64 -4.44089209850063e-16
+4 0 1 0 0 40 48 64 -4.44089209850063e-16
+4 0 1 0 0 42 48 64 -4.44089209850063e-16
+4 0 1 0 0 44 48 64 -4.44089209850063e-16
+4 0 1 0 0 46 48 64 -4.44089209850063e-16
+4 0 1 0 0 48 48 64 -4.44089209850063e-16
+4 0 1 0 0 50 48 64 -4.44089209850063e-16
+4 0 1 0 0 52 48 64 -4.44089209850063e-16
+4 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -4.44089209850063e-16
+4 0 0 0 0 4 48 64 -4.44089209850063e-16
+4 0 0 0 0 8 48 64 -4.44089209850063e-16
+4 0 0 0 0 12 48 64 -4.44089209850063e-16
+4 0 0 0 0 16 48 64 -4.44089209850063e-16
+4 0 0 0 0 20 48 64 -4.44089209850063e-16
+4 0 0 0 0 24 48 64 -4.44089209850063e-16
+4 0 0 0 0 28 48 64 -4.44089209850063e-16
+4 0 0 0 0 32 48 64 -4.44089209850063e-16
+4 0 0 0 0 36 48 64 -4.44089209850063e-16
+4 0 0 0 0 40 48 64 -4.44089209850063e-16
+4 0 0 0 0 44 48 64 -4.44089209850063e-16
+4 0 0 0 0 48 48 64 -4.44089209850063e-16
+4 0 0 0 0 52 48 64 -4.44089209850063e-16
+4 0 0 0 0 56 48 64 -4.44089209850063e-16
+4 0 0 0 0 60 48 64 -4.44089209850063e-16
+4 0 0 0 0 64 48 64 -4.44089209850063e-16
+4 0 0 0 0 68 48 64 -4.44089209850063e-16
+4 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 -4.44089209850063e-16
+5 0 2 0 0 28 48 64 -4.44089209850063e-16
+5 0 2 0 0 29 48 64 -4.44089209850063e-16
+5 0 2 0 0 30 48 64 -4.44089209850063e-16
+5 0 2 0 0 31 48 64 -4.44089209850063e-16
+5 0 2 0 0 32 48 64 -4.44089209850063e-16
+5 0 2 0 0 33 48 64 -4.44089209850063e-16
+5 0 2 0 0 34 48 64 -4.44089209850063e-16
+5 0 2 0 0 35 48 64 -4.44089209850063e-16
+5 0 2 0 0 36 48 64 -4.44089209850063e-16
+5 0 2 0 0 37 48 64 -4.44089209850063e-16
+5 0 2 0 0 38 48 64 -4.44089209850063e-16
+5 0 2 0 0 39 48 64 -4.44089209850063e-16
+5 0 2 0 0 40 48 64 -4.44089209850063e-16
+5 0 2 0 0 41 48 64 -4.44089209850063e-16
+5 0 2 0 0 42 48 64 -4.44089209850063e-16
+5 0 2 0 0 43 48 64 -4.44089209850063e-16
+5 0 2 0 0 44 48 64 -4.44089209850063e-16
+5 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 -4.44089209850063e-16
+6 0 2 0 0 28 48 64 -4.44089209850063e-16
+6 0 2 0 0 29 48 64 -4.44089209850063e-16
+6 0 2 0 0 30 48 64 -4.44089209850063e-16
+6 0 2 0 0 31 48 64 -4.44089209850063e-16
+6 0 2 0 0 32 48 64 -4.44089209850063e-16
+6 0 2 0 0 33 48 64 -4.44089209850063e-16
+6 0 2 0 0 34 48 64 -4.44089209850063e-16
+6 0 2 0 0 35 48 64 -4.44089209850063e-16
+6 0 2 0 0 36 48 64 -4.44089209850063e-16
+6 0 2 0 0 37 48 64 -4.44089209850063e-16
+6 0 2 0 0 38 48 64 -4.44089209850063e-16
+6 0 2 0 0 39 48 64 -4.44089209850063e-16
+6 0 2 0 0 40 48 64 -4.44089209850063e-16
+6 0 2 0 0 41 48 64 -4.44089209850063e-16
+6 0 2 0 0 42 48 64 -4.44089209850063e-16
+6 0 2 0 0 43 48 64 -4.44089209850063e-16
+6 0 2 0 0 44 48 64 -4.44089209850063e-16
+6 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 -4.44089209850063e-16
+6 0 1 0 0 20 48 64 -4.44089209850063e-16
+6 0 1 0 0 22 48 64 -4.44089209850063e-16
+6 0 1 0 0 24 48 64 -4.44089209850063e-16
+6 0 1 0 0 26 48 64 -4.44089209850063e-16
+6 0 1 0 0 28 48 64 -4.44089209850063e-16
+6 0 1 0 0 30 48 64 -4.44089209850063e-16
+6 0 1 0 0 32 48 64 -4.44089209850063e-16
+6 0 1 0 0 34 48 64 -4.44089209850063e-16
+6 0 1 0 0 36 48 64 -4.44089209850063e-16
+6 0 1 0 0 38 48 64 -4.44089209850063e-16
+6 0 1 0 0 40 48 64 -4.44089209850063e-16
+6 0 1 0 0 42 48 64 -4.44089209850063e-16
+6 0 1 0 0 44 48 64 -4.44089209850063e-16
+6 0 1 0 0 46 48 64 -4.44089209850063e-16
+6 0 1 0 0 48 48 64 -4.44089209850063e-16
+6 0 1 0 0 50 48 64 -4.44089209850063e-16
+6 0 1 0 0 52 48 64 -4.44089209850063e-16
+6 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 -4.44089209850063e-16
+7 0 2 0 0 28 48 64 -4.44089209850063e-16
+7 0 2 0 0 29 48 64 -4.44089209850063e-16
+7 0 2 0 0 30 48 64 -4.44089209850063e-16
+7 0 2 0 0 31 48 64 -4.44089209850063e-16
+7 0 2 0 0 32 48 64 -4.44089209850063e-16
+7 0 2 0 0 33 48 64 -4.44089209850063e-16
+7 0 2 0 0 34 48 64 -4.44089209850063e-16
+7 0 2 0 0 35 48 64 -4.44089209850063e-16
+7 0 2 0 0 36 48 64 -4.44089209850063e-16
+7 0 2 0 0 37 48 64 -4.44089209850063e-16
+7 0 2 0 0 38 48 64 -4.44089209850063e-16
+7 0 2 0 0 39 48 64 -4.44089209850063e-16
+7 0 2 0 0 40 48 64 -4.44089209850063e-16
+7 0 2 0 0 41 48 64 -4.44089209850063e-16
+7 0 2 0 0 42 48 64 -4.44089209850063e-16
+7 0 2 0 0 43 48 64 -4.44089209850063e-16
+7 0 2 0 0 44 48 64 -4.44089209850063e-16
+7 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 -4.44089209850063e-16
+8 0 2 0 0 28 48 64 -4.44089209850063e-16
+8 0 2 0 0 29 48 64 -4.44089209850063e-16
+8 0 2 0 0 30 48 64 -4.44089209850063e-16
+8 0 2 0 0 31 48 64 -4.44089209850063e-16
+8 0 2 0 0 32 48 64 -4.44089209850063e-16
+8 0 2 0 0 33 48 64 -4.44089209850063e-16
+8 0 2 0 0 34 48 64 -4.44089209850063e-16
+8 0 2 0 0 35 48 64 -4.44089209850063e-16
+8 0 2 0 0 36 48 64 -4.44089209850063e-16
+8 0 2 0 0 37 48 64 -4.44089209850063e-16
+8 0 2 0 0 38 48 64 -4.44089209850063e-16
+8 0 2 0 0 39 48 64 -4.44089209850063e-16
+8 0 2 0 0 40 48 64 -4.44089209850063e-16
+8 0 2 0 0 41 48 64 -4.44089209850063e-16
+8 0 2 0 0 42 48 64 -4.44089209850063e-16
+8 0 2 0 0 43 48 64 -4.44089209850063e-16
+8 0 2 0 0 44 48 64 -4.44089209850063e-16
+8 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 -4.44089209850063e-16
+8 0 1 0 0 20 48 64 -4.44089209850063e-16
+8 0 1 0 0 22 48 64 -4.44089209850063e-16
+8 0 1 0 0 24 48 64 -4.44089209850063e-16
+8 0 1 0 0 26 48 64 -4.44089209850063e-16
+8 0 1 0 0 28 48 64 -4.44089209850063e-16
+8 0 1 0 0 30 48 64 -4.44089209850063e-16
+8 0 1 0 0 32 48 64 -4.44089209850063e-16
+8 0 1 0 0 34 48 64 -4.44089209850063e-16
+8 0 1 0 0 36 48 64 -4.44089209850063e-16
+8 0 1 0 0 38 48 64 -4.44089209850063e-16
+8 0 1 0 0 40 48 64 -4.44089209850063e-16
+8 0 1 0 0 42 48 64 -4.44089209850063e-16
+8 0 1 0 0 44 48 64 -4.44089209850063e-16
+8 0 1 0 0 46 48 64 -4.44089209850063e-16
+8 0 1 0 0 48 48 64 -4.44089209850063e-16
+8 0 1 0 0 50 48 64 -4.44089209850063e-16
+8 0 1 0 0 52 48 64 -4.44089209850063e-16
+8 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -4.44089209850063e-16
+8 0 0 0 0 4 48 64 -4.44089209850063e-16
+8 0 0 0 0 8 48 64 -4.44089209850063e-16
+8 0 0 0 0 12 48 64 -4.44089209850063e-16
+8 0 0 0 0 16 48 64 -4.44089209850063e-16
+8 0 0 0 0 20 48 64 -4.44089209850063e-16
+8 0 0 0 0 24 48 64 -4.44089209850063e-16
+8 0 0 0 0 28 48 64 -4.44089209850063e-16
+8 0 0 0 0 32 48 64 -4.44089209850063e-16
+8 0 0 0 0 36 48 64 -4.44089209850063e-16
+8 0 0 0 0 40 48 64 -4.44089209850063e-16
+8 0 0 0 0 44 48 64 -4.44089209850063e-16
+8 0 0 0 0 48 48 64 -4.44089209850063e-16
+8 0 0 0 0 52 48 64 -4.44089209850063e-16
+8 0 0 0 0 56 48 64 -4.44089209850063e-16
+8 0 0 0 0 60 48 64 -4.44089209850063e-16
+8 0 0 0 0 64 48 64 -4.44089209850063e-16
+8 0 0 0 0 68 48 64 -4.44089209850063e-16
+8 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 -4.44089209850063e-16
+9 0 2 0 0 28 48 64 -4.44089209850063e-16
+9 0 2 0 0 29 48 64 -4.44089209850063e-16
+9 0 2 0 0 30 48 64 -4.44089209850063e-16
+9 0 2 0 0 31 48 64 -4.44089209850063e-16
+9 0 2 0 0 32 48 64 -4.44089209850063e-16
+9 0 2 0 0 33 48 64 -4.44089209850063e-16
+9 0 2 0 0 34 48 64 -4.44089209850063e-16
+9 0 2 0 0 35 48 64 -4.44089209850063e-16
+9 0 2 0 0 36 48 64 -4.44089209850063e-16
+9 0 2 0 0 37 48 64 -4.44089209850063e-16
+9 0 2 0 0 38 48 64 -4.44089209850063e-16
+9 0 2 0 0 39 48 64 -4.44089209850063e-16
+9 0 2 0 0 40 48 64 -4.44089209850063e-16
+9 0 2 0 0 41 48 64 -4.44089209850063e-16
+9 0 2 0 0 42 48 64 -4.44089209850063e-16
+9 0 2 0 0 43 48 64 -4.44089209850063e-16
+9 0 2 0 0 44 48 64 -4.44089209850063e-16
+9 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 -4.44089209850063e-16
+10 0 2 0 0 28 48 64 -4.44089209850063e-16
+10 0 2 0 0 29 48 64 -4.44089209850063e-16
+10 0 2 0 0 30 48 64 -4.44089209850063e-16
+10 0 2 0 0 31 48 64 -4.44089209850063e-16
+10 0 2 0 0 32 48 64 -4.44089209850063e-16
+10 0 2 0 0 33 48 64 -4.44089209850063e-16
+10 0 2 0 0 34 48 64 -4.44089209850063e-16
+10 0 2 0 0 35 48 64 -4.44089209850063e-16
+10 0 2 0 0 36 48 64 -4.44089209850063e-16
+10 0 2 0 0 37 48 64 -4.44089209850063e-16
+10 0 2 0 0 38 48 64 -4.44089209850063e-16
+10 0 2 0 0 39 48 64 -4.44089209850063e-16
+10 0 2 0 0 40 48 64 -4.44089209850063e-16
+10 0 2 0 0 41 48 64 -4.44089209850063e-16
+10 0 2 0 0 42 48 64 -4.44089209850063e-16
+10 0 2 0 0 43 48 64 -4.44089209850063e-16
+10 0 2 0 0 44 48 64 -4.44089209850063e-16
+10 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 -4.44089209850063e-16
+10 0 1 0 0 20 48 64 -4.44089209850063e-16
+10 0 1 0 0 22 48 64 -4.44089209850063e-16
+10 0 1 0 0 24 48 64 -4.44089209850063e-16
+10 0 1 0 0 26 48 64 -4.44089209850063e-16
+10 0 1 0 0 28 48 64 -4.44089209850063e-16
+10 0 1 0 0 30 48 64 -4.44089209850063e-16
+10 0 1 0 0 32 48 64 -4.44089209850063e-16
+10 0 1 0 0 34 48 64 -4.44089209850063e-16
+10 0 1 0 0 36 48 64 -4.44089209850063e-16
+10 0 1 0 0 38 48 64 -4.44089209850063e-16
+10 0 1 0 0 40 48 64 -4.44089209850063e-16
+10 0 1 0 0 42 48 64 -4.44089209850063e-16
+10 0 1 0 0 44 48 64 -4.44089209850063e-16
+10 0 1 0 0 46 48 64 -4.44089209850063e-16
+10 0 1 0 0 48 48 64 -4.44089209850063e-16
+10 0 1 0 0 50 48 64 -4.44089209850063e-16
+10 0 1 0 0 52 48 64 -4.44089209850063e-16
+10 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 -4.44089209850063e-16
+11 0 2 0 0 28 48 64 -4.44089209850063e-16
+11 0 2 0 0 29 48 64 -4.44089209850063e-16
+11 0 2 0 0 30 48 64 -4.44089209850063e-16
+11 0 2 0 0 31 48 64 -4.44089209850063e-16
+11 0 2 0 0 32 48 64 -4.44089209850063e-16
+11 0 2 0 0 33 48 64 -4.44089209850063e-16
+11 0 2 0 0 34 48 64 -4.44089209850063e-16
+11 0 2 0 0 35 48 64 -4.44089209850063e-16
+11 0 2 0 0 36 48 64 -4.44089209850063e-16
+11 0 2 0 0 37 48 64 -4.44089209850063e-16
+11 0 2 0 0 38 48 64 -4.44089209850063e-16
+11 0 2 0 0 39 48 64 -4.44089209850063e-16
+11 0 2 0 0 40 48 64 -4.44089209850063e-16
+11 0 2 0 0 41 48 64 -4.44089209850063e-16
+11 0 2 0 0 42 48 64 -4.44089209850063e-16
+11 0 2 0 0 43 48 64 -4.44089209850063e-16
+11 0 2 0 0 44 48 64 -4.44089209850063e-16
+11 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 -4.44089209850063e-16
+12 0 2 0 0 28 48 64 -4.44089209850063e-16
+12 0 2 0 0 29 48 64 -4.44089209850063e-16
+12 0 2 0 0 30 48 64 -4.44089209850063e-16
+12 0 2 0 0 31 48 64 -4.44089209850063e-16
+12 0 2 0 0 32 48 64 -4.44089209850063e-16
+12 0 2 0 0 33 48 64 -4.44089209850063e-16
+12 0 2 0 0 34 48 64 -4.44089209850063e-16
+12 0 2 0 0 35 48 64 -4.44089209850063e-16
+12 0 2 0 0 36 48 64 -4.44089209850063e-16
+12 0 2 0 0 37 48 64 -4.44089209850063e-16
+12 0 2 0 0 38 48 64 -4.44089209850063e-16
+12 0 2 0 0 39 48 64 -4.44089209850063e-16
+12 0 2 0 0 40 48 64 -4.44089209850063e-16
+12 0 2 0 0 41 48 64 -4.44089209850063e-16
+12 0 2 0 0 42 48 64 -4.44089209850063e-16
+12 0 2 0 0 43 48 64 -4.44089209850063e-16
+12 0 2 0 0 44 48 64 -4.44089209850063e-16
+12 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 -4.44089209850063e-16
+12 0 1 0 0 20 48 64 -4.44089209850063e-16
+12 0 1 0 0 22 48 64 -4.44089209850063e-16
+12 0 1 0 0 24 48 64 -4.44089209850063e-16
+12 0 1 0 0 26 48 64 -4.44089209850063e-16
+12 0 1 0 0 28 48 64 -4.44089209850063e-16
+12 0 1 0 0 30 48 64 -4.44089209850063e-16
+12 0 1 0 0 32 48 64 -4.44089209850063e-16
+12 0 1 0 0 34 48 64 -4.44089209850063e-16
+12 0 1 0 0 36 48 64 -4.44089209850063e-16
+12 0 1 0 0 38 48 64 -4.44089209850063e-16
+12 0 1 0 0 40 48 64 -4.44089209850063e-16
+12 0 1 0 0 42 48 64 -4.44089209850063e-16
+12 0 1 0 0 44 48 64 -4.44089209850063e-16
+12 0 1 0 0 46 48 64 -4.44089209850063e-16
+12 0 1 0 0 48 48 64 -4.44089209850063e-16
+12 0 1 0 0 50 48 64 -4.44089209850063e-16
+12 0 1 0 0 52 48 64 -4.44089209850063e-16
+12 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -4.44089209850063e-16
+12 0 0 0 0 4 48 64 -4.44089209850063e-16
+12 0 0 0 0 8 48 64 -4.44089209850063e-16
+12 0 0 0 0 12 48 64 -4.44089209850063e-16
+12 0 0 0 0 16 48 64 -4.44089209850063e-16
+12 0 0 0 0 20 48 64 -4.44089209850063e-16
+12 0 0 0 0 24 48 64 -4.44089209850063e-16
+12 0 0 0 0 28 48 64 -4.44089209850063e-16
+12 0 0 0 0 32 48 64 -4.44089209850063e-16
+12 0 0 0 0 36 48 64 -4.44089209850063e-16
+12 0 0 0 0 40 48 64 -4.44089209850063e-16
+12 0 0 0 0 44 48 64 -4.44089209850063e-16
+12 0 0 0 0 48 48 64 -4.44089209850063e-16
+12 0 0 0 0 52 48 64 -4.44089209850063e-16
+12 0 0 0 0 56 48 64 -4.44089209850063e-16
+12 0 0 0 0 60 48 64 -4.44089209850063e-16
+12 0 0 0 0 64 48 64 -4.44089209850063e-16
+12 0 0 0 0 68 48 64 -4.44089209850063e-16
+12 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 -4.44089209850063e-16
+13 0 2 0 0 28 48 64 -4.44089209850063e-16
+13 0 2 0 0 29 48 64 -4.44089209850063e-16
+13 0 2 0 0 30 48 64 -4.44089209850063e-16
+13 0 2 0 0 31 48 64 -4.44089209850063e-16
+13 0 2 0 0 32 48 64 -4.44089209850063e-16
+13 0 2 0 0 33 48 64 -4.44089209850063e-16
+13 0 2 0 0 34 48 64 -4.44089209850063e-16
+13 0 2 0 0 35 48 64 -4.44089209850063e-16
+13 0 2 0 0 36 48 64 -4.44089209850063e-16
+13 0 2 0 0 37 48 64 -4.44089209850063e-16
+13 0 2 0 0 38 48 64 -4.44089209850063e-16
+13 0 2 0 0 39 48 64 -4.44089209850063e-16
+13 0 2 0 0 40 48 64 -4.44089209850063e-16
+13 0 2 0 0 41 48 64 -4.44089209850063e-16
+13 0 2 0 0 42 48 64 -4.44089209850063e-16
+13 0 2 0 0 43 48 64 -4.44089209850063e-16
+13 0 2 0 0 44 48 64 -4.44089209850063e-16
+13 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 -4.44089209850063e-16
+14 0 2 0 0 28 48 64 -4.44089209850063e-16
+14 0 2 0 0 29 48 64 -4.44089209850063e-16
+14 0 2 0 0 30 48 64 -4.44089209850063e-16
+14 0 2 0 0 31 48 64 -4.44089209850063e-16
+14 0 2 0 0 32 48 64 -4.44089209850063e-16
+14 0 2 0 0 33 48 64 -4.44089209850063e-16
+14 0 2 0 0 34 48 64 -4.44089209850063e-16
+14 0 2 0 0 35 48 64 -4.44089209850063e-16
+14 0 2 0 0 36 48 64 -4.44089209850063e-16
+14 0 2 0 0 37 48 64 -4.44089209850063e-16
+14 0 2 0 0 38 48 64 -4.44089209850063e-16
+14 0 2 0 0 39 48 64 -4.44089209850063e-16
+14 0 2 0 0 40 48 64 -4.44089209850063e-16
+14 0 2 0 0 41 48 64 -4.44089209850063e-16
+14 0 2 0 0 42 48 64 -4.44089209850063e-16
+14 0 2 0 0 43 48 64 -4.44089209850063e-16
+14 0 2 0 0 44 48 64 -4.44089209850063e-16
+14 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 -4.44089209850063e-16
+14 0 1 0 0 20 48 64 -4.44089209850063e-16
+14 0 1 0 0 22 48 64 -4.44089209850063e-16
+14 0 1 0 0 24 48 64 -4.44089209850063e-16
+14 0 1 0 0 26 48 64 -4.44089209850063e-16
+14 0 1 0 0 28 48 64 -4.44089209850063e-16
+14 0 1 0 0 30 48 64 -4.44089209850063e-16
+14 0 1 0 0 32 48 64 -4.44089209850063e-16
+14 0 1 0 0 34 48 64 -4.44089209850063e-16
+14 0 1 0 0 36 48 64 -4.44089209850063e-16
+14 0 1 0 0 38 48 64 -4.44089209850063e-16
+14 0 1 0 0 40 48 64 -4.44089209850063e-16
+14 0 1 0 0 42 48 64 -4.44089209850063e-16
+14 0 1 0 0 44 48 64 -4.44089209850063e-16
+14 0 1 0 0 46 48 64 -4.44089209850063e-16
+14 0 1 0 0 48 48 64 -4.44089209850063e-16
+14 0 1 0 0 50 48 64 -4.44089209850063e-16
+14 0 1 0 0 52 48 64 -4.44089209850063e-16
+14 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 -4.44089209850063e-16
+15 0 2 0 0 28 48 64 -4.44089209850063e-16
+15 0 2 0 0 29 48 64 -4.44089209850063e-16
+15 0 2 0 0 30 48 64 -4.44089209850063e-16
+15 0 2 0 0 31 48 64 -4.44089209850063e-16
+15 0 2 0 0 32 48 64 -4.44089209850063e-16
+15 0 2 0 0 33 48 64 -4.44089209850063e-16
+15 0 2 0 0 34 48 64 -4.44089209850063e-16
+15 0 2 0 0 35 48 64 -4.44089209850063e-16
+15 0 2 0 0 36 48 64 -4.44089209850063e-16
+15 0 2 0 0 37 48 64 -4.44089209850063e-16
+15 0 2 0 0 38 48 64 -4.44089209850063e-16
+15 0 2 0 0 39 48 64 -4.44089209850063e-16
+15 0 2 0 0 40 48 64 -4.44089209850063e-16
+15 0 2 0 0 41 48 64 -4.44089209850063e-16
+15 0 2 0 0 42 48 64 -4.44089209850063e-16
+15 0 2 0 0 43 48 64 -4.44089209850063e-16
+15 0 2 0 0 44 48 64 -4.44089209850063e-16
+15 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 -4.44089209850063e-16
+16 0 2 0 0 28 48 64 -4.44089209850063e-16
+16 0 2 0 0 29 48 64 -4.44089209850063e-16
+16 0 2 0 0 30 48 64 -4.44089209850063e-16
+16 0 2 0 0 31 48 64 -4.44089209850063e-16
+16 0 2 0 0 32 48 64 -4.44089209850063e-16
+16 0 2 0 0 33 48 64 -4.44089209850063e-16
+16 0 2 0 0 34 48 64 -4.44089209850063e-16
+16 0 2 0 0 35 48 64 -4.44089209850063e-16
+16 0 2 0 0 36 48 64 -4.44089209850063e-16
+16 0 2 0 0 37 48 64 -4.44089209850063e-16
+16 0 2 0 0 38 48 64 -4.44089209850063e-16
+16 0 2 0 0 39 48 64 -4.44089209850063e-16
+16 0 2 0 0 40 48 64 -4.44089209850063e-16
+16 0 2 0 0 41 48 64 -4.44089209850063e-16
+16 0 2 0 0 42 48 64 -4.44089209850063e-16
+16 0 2 0 0 43 48 64 -4.44089209850063e-16
+16 0 2 0 0 44 48 64 -4.44089209850063e-16
+16 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 -4.44089209850063e-16
+16 0 1 0 0 20 48 64 -4.44089209850063e-16
+16 0 1 0 0 22 48 64 -4.44089209850063e-16
+16 0 1 0 0 24 48 64 -4.44089209850063e-16
+16 0 1 0 0 26 48 64 -4.44089209850063e-16
+16 0 1 0 0 28 48 64 -4.44089209850063e-16
+16 0 1 0 0 30 48 64 -4.44089209850063e-16
+16 0 1 0 0 32 48 64 -4.44089209850063e-16
+16 0 1 0 0 34 48 64 -4.44089209850063e-16
+16 0 1 0 0 36 48 64 -4.44089209850063e-16
+16 0 1 0 0 38 48 64 -4.44089209850063e-16
+16 0 1 0 0 40 48 64 -4.44089209850063e-16
+16 0 1 0 0 42 48 64 -4.44089209850063e-16
+16 0 1 0 0 44 48 64 -4.44089209850063e-16
+16 0 1 0 0 46 48 64 -4.44089209850063e-16
+16 0 1 0 0 48 48 64 -4.44089209850063e-16
+16 0 1 0 0 50 48 64 -4.44089209850063e-16
+16 0 1 0 0 52 48 64 -4.44089209850063e-16
+16 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -4.44089209850063e-16
+16 0 0 0 0 4 48 64 -4.44089209850063e-16
+16 0 0 0 0 8 48 64 -4.44089209850063e-16
+16 0 0 0 0 12 48 64 -4.44089209850063e-16
+16 0 0 0 0 16 48 64 -4.44089209850063e-16
+16 0 0 0 0 20 48 64 -4.44089209850063e-16
+16 0 0 0 0 24 48 64 -4.44089209850063e-16
+16 0 0 0 0 28 48 64 -4.44089209850063e-16
+16 0 0 0 0 32 48 64 -4.44089209850063e-16
+16 0 0 0 0 36 48 64 -4.44089209850063e-16
+16 0 0 0 0 40 48 64 -4.44089209850063e-16
+16 0 0 0 0 44 48 64 -4.44089209850063e-16
+16 0 0 0 0 48 48 64 -4.44089209850063e-16
+16 0 0 0 0 52 48 64 -4.44089209850063e-16
+16 0 0 0 0 56 48 64 -4.44089209850063e-16
+16 0 0 0 0 60 48 64 -4.44089209850063e-16
+16 0 0 0 0 64 48 64 -4.44089209850063e-16
+16 0 0 0 0 68 48 64 -4.44089209850063e-16
+16 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 -4.44089209850063e-16
+17 0 2 0 0 28 48 64 -4.44089209850063e-16
+17 0 2 0 0 29 48 64 -4.44089209850063e-16
+17 0 2 0 0 30 48 64 -4.44089209850063e-16
+17 0 2 0 0 31 48 64 -4.44089209850063e-16
+17 0 2 0 0 32 48 64 -4.44089209850063e-16
+17 0 2 0 0 33 48 64 -4.44089209850063e-16
+17 0 2 0 0 34 48 64 -4.44089209850063e-16
+17 0 2 0 0 35 48 64 -4.44089209850063e-16
+17 0 2 0 0 36 48 64 -4.44089209850063e-16
+17 0 2 0 0 37 48 64 -4.44089209850063e-16
+17 0 2 0 0 38 48 64 -4.44089209850063e-16
+17 0 2 0 0 39 48 64 -4.44089209850063e-16
+17 0 2 0 0 40 48 64 -4.44089209850063e-16
+17 0 2 0 0 41 48 64 -4.44089209850063e-16
+17 0 2 0 0 42 48 64 -4.44089209850063e-16
+17 0 2 0 0 43 48 64 -4.44089209850063e-16
+17 0 2 0 0 44 48 64 -4.44089209850063e-16
+17 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 -4.44089209850063e-16
+18 0 2 0 0 28 48 64 -4.44089209850063e-16
+18 0 2 0 0 29 48 64 -4.44089209850063e-16
+18 0 2 0 0 30 48 64 -4.44089209850063e-16
+18 0 2 0 0 31 48 64 -4.44089209850063e-16
+18 0 2 0 0 32 48 64 -4.44089209850063e-16
+18 0 2 0 0 33 48 64 -4.44089209850063e-16
+18 0 2 0 0 34 48 64 -4.44089209850063e-16
+18 0 2 0 0 35 48 64 -4.44089209850063e-16
+18 0 2 0 0 36 48 64 -4.44089209850063e-16
+18 0 2 0 0 37 48 64 -4.44089209850063e-16
+18 0 2 0 0 38 48 64 -4.44089209850063e-16
+18 0 2 0 0 39 48 64 -4.44089209850063e-16
+18 0 2 0 0 40 48 64 -4.44089209850063e-16
+18 0 2 0 0 41 48 64 -4.44089209850063e-16
+18 0 2 0 0 42 48 64 -4.44089209850063e-16
+18 0 2 0 0 43 48 64 -4.44089209850063e-16
+18 0 2 0 0 44 48 64 -4.44089209850063e-16
+18 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 -4.44089209850063e-16
+18 0 1 0 0 20 48 64 -4.44089209850063e-16
+18 0 1 0 0 22 48 64 -4.44089209850063e-16
+18 0 1 0 0 24 48 64 -4.44089209850063e-16
+18 0 1 0 0 26 48 64 -4.44089209850063e-16
+18 0 1 0 0 28 48 64 -4.44089209850063e-16
+18 0 1 0 0 30 48 64 -4.44089209850063e-16
+18 0 1 0 0 32 48 64 -4.44089209850063e-16
+18 0 1 0 0 34 48 64 -4.44089209850063e-16
+18 0 1 0 0 36 48 64 -4.44089209850063e-16
+18 0 1 0 0 38 48 64 -4.44089209850063e-16
+18 0 1 0 0 40 48 64 -4.44089209850063e-16
+18 0 1 0 0 42 48 64 -4.44089209850063e-16
+18 0 1 0 0 44 48 64 -4.44089209850063e-16
+18 0 1 0 0 46 48 64 -4.44089209850063e-16
+18 0 1 0 0 48 48 64 -4.44089209850063e-16
+18 0 1 0 0 50 48 64 -4.44089209850063e-16
+18 0 1 0 0 52 48 64 -4.44089209850063e-16
+18 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 -4.44089209850063e-16
+19 0 2 0 0 28 48 64 -4.44089209850063e-16
+19 0 2 0 0 29 48 64 -4.44089209850063e-16
+19 0 2 0 0 30 48 64 -4.44089209850063e-16
+19 0 2 0 0 31 48 64 -4.44089209850063e-16
+19 0 2 0 0 32 48 64 -4.44089209850063e-16
+19 0 2 0 0 33 48 64 -4.44089209850063e-16
+19 0 2 0 0 34 48 64 -4.44089209850063e-16
+19 0 2 0 0 35 48 64 -4.44089209850063e-16
+19 0 2 0 0 36 48 64 -4.44089209850063e-16
+19 0 2 0 0 37 48 64 -4.44089209850063e-16
+19 0 2 0 0 38 48 64 -4.44089209850063e-16
+19 0 2 0 0 39 48 64 -4.44089209850063e-16
+19 0 2 0 0 40 48 64 -4.44089209850063e-16
+19 0 2 0 0 41 48 64 -4.44089209850063e-16
+19 0 2 0 0 42 48 64 -4.44089209850063e-16
+19 0 2 0 0 43 48 64 -4.44089209850063e-16
+19 0 2 0 0 44 48 64 -4.44089209850063e-16
+19 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 -4.44089209850063e-16
+20 0 2 0 0 28 48 64 -4.44089209850063e-16
+20 0 2 0 0 29 48 64 -4.44089209850063e-16
+20 0 2 0 0 30 48 64 -4.44089209850063e-16
+20 0 2 0 0 31 48 64 -4.44089209850063e-16
+20 0 2 0 0 32 48 64 -4.44089209850063e-16
+20 0 2 0 0 33 48 64 -4.44089209850063e-16
+20 0 2 0 0 34 48 64 -4.44089209850063e-16
+20 0 2 0 0 35 48 64 -4.44089209850063e-16
+20 0 2 0 0 36 48 64 -4.44089209850063e-16
+20 0 2 0 0 37 48 64 -4.44089209850063e-16
+20 0 2 0 0 38 48 64 -4.44089209850063e-16
+20 0 2 0 0 39 48 64 -4.44089209850063e-16
+20 0 2 0 0 40 48 64 -4.44089209850063e-16
+20 0 2 0 0 41 48 64 -4.44089209850063e-16
+20 0 2 0 0 42 48 64 -4.44089209850063e-16
+20 0 2 0 0 43 48 64 -4.44089209850063e-16
+20 0 2 0 0 44 48 64 -4.44089209850063e-16
+20 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 -4.44089209850063e-16
+20 0 1 0 0 20 48 64 -4.44089209850063e-16
+20 0 1 0 0 22 48 64 -4.44089209850063e-16
+20 0 1 0 0 24 48 64 -4.44089209850063e-16
+20 0 1 0 0 26 48 64 -4.44089209850063e-16
+20 0 1 0 0 28 48 64 -4.44089209850063e-16
+20 0 1 0 0 30 48 64 -4.44089209850063e-16
+20 0 1 0 0 32 48 64 -4.44089209850063e-16
+20 0 1 0 0 34 48 64 -4.44089209850063e-16
+20 0 1 0 0 36 48 64 -4.44089209850063e-16
+20 0 1 0 0 38 48 64 -4.44089209850063e-16
+20 0 1 0 0 40 48 64 -4.44089209850063e-16
+20 0 1 0 0 42 48 64 -4.44089209850063e-16
+20 0 1 0 0 44 48 64 -4.44089209850063e-16
+20 0 1 0 0 46 48 64 -4.44089209850063e-16
+20 0 1 0 0 48 48 64 -4.44089209850063e-16
+20 0 1 0 0 50 48 64 -4.44089209850063e-16
+20 0 1 0 0 52 48 64 -4.44089209850063e-16
+20 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -4.44089209850063e-16
+20 0 0 0 0 4 48 64 -4.44089209850063e-16
+20 0 0 0 0 8 48 64 -4.44089209850063e-16
+20 0 0 0 0 12 48 64 -4.44089209850063e-16
+20 0 0 0 0 16 48 64 -4.44089209850063e-16
+20 0 0 0 0 20 48 64 -4.44089209850063e-16
+20 0 0 0 0 24 48 64 -4.44089209850063e-16
+20 0 0 0 0 28 48 64 -4.44089209850063e-16
+20 0 0 0 0 32 48 64 -4.44089209850063e-16
+20 0 0 0 0 36 48 64 -4.44089209850063e-16
+20 0 0 0 0 40 48 64 -4.44089209850063e-16
+20 0 0 0 0 44 48 64 -4.44089209850063e-16
+20 0 0 0 0 48 48 64 -4.44089209850063e-16
+20 0 0 0 0 52 48 64 -4.44089209850063e-16
+20 0 0 0 0 56 48 64 -4.44089209850063e-16
+20 0 0 0 0 60 48 64 -4.44089209850063e-16
+20 0 0 0 0 64 48 64 -4.44089209850063e-16
+20 0 0 0 0 68 48 64 -4.44089209850063e-16
+20 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 -4.44089209850063e-16
+21 0 2 0 0 28 48 64 -4.44089209850063e-16
+21 0 2 0 0 29 48 64 -4.44089209850063e-16
+21 0 2 0 0 30 48 64 -4.44089209850063e-16
+21 0 2 0 0 31 48 64 -4.44089209850063e-16
+21 0 2 0 0 32 48 64 -4.44089209850063e-16
+21 0 2 0 0 33 48 64 -4.44089209850063e-16
+21 0 2 0 0 34 48 64 -4.44089209850063e-16
+21 0 2 0 0 35 48 64 -4.44089209850063e-16
+21 0 2 0 0 36 48 64 -4.44089209850063e-16
+21 0 2 0 0 37 48 64 -4.44089209850063e-16
+21 0 2 0 0 38 48 64 -4.44089209850063e-16
+21 0 2 0 0 39 48 64 -4.44089209850063e-16
+21 0 2 0 0 40 48 64 -4.44089209850063e-16
+21 0 2 0 0 41 48 64 -4.44089209850063e-16
+21 0 2 0 0 42 48 64 -4.44089209850063e-16
+21 0 2 0 0 43 48 64 -4.44089209850063e-16
+21 0 2 0 0 44 48 64 -4.44089209850063e-16
+21 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 -4.44089209850063e-16
+22 0 2 0 0 28 48 64 -4.44089209850063e-16
+22 0 2 0 0 29 48 64 -4.44089209850063e-16
+22 0 2 0 0 30 48 64 -4.44089209850063e-16
+22 0 2 0 0 31 48 64 -4.44089209850063e-16
+22 0 2 0 0 32 48 64 -4.44089209850063e-16
+22 0 2 0 0 33 48 64 -4.44089209850063e-16
+22 0 2 0 0 34 48 64 -4.44089209850063e-16
+22 0 2 0 0 35 48 64 -4.44089209850063e-16
+22 0 2 0 0 36 48 64 -4.44089209850063e-16
+22 0 2 0 0 37 48 64 -4.44089209850063e-16
+22 0 2 0 0 38 48 64 -4.44089209850063e-16
+22 0 2 0 0 39 48 64 -4.44089209850063e-16
+22 0 2 0 0 40 48 64 -4.44089209850063e-16
+22 0 2 0 0 41 48 64 -4.44089209850063e-16
+22 0 2 0 0 42 48 64 -4.44089209850063e-16
+22 0 2 0 0 43 48 64 -4.44089209850063e-16
+22 0 2 0 0 44 48 64 -4.44089209850063e-16
+22 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 -4.44089209850063e-16
+22 0 1 0 0 20 48 64 -4.44089209850063e-16
+22 0 1 0 0 22 48 64 -4.44089209850063e-16
+22 0 1 0 0 24 48 64 -4.44089209850063e-16
+22 0 1 0 0 26 48 64 -4.44089209850063e-16
+22 0 1 0 0 28 48 64 -4.44089209850063e-16
+22 0 1 0 0 30 48 64 -4.44089209850063e-16
+22 0 1 0 0 32 48 64 -4.44089209850063e-16
+22 0 1 0 0 34 48 64 -4.44089209850063e-16
+22 0 1 0 0 36 48 64 -4.44089209850063e-16
+22 0 1 0 0 38 48 64 -4.44089209850063e-16
+22 0 1 0 0 40 48 64 -4.44089209850063e-16
+22 0 1 0 0 42 48 64 -4.44089209850063e-16
+22 0 1 0 0 44 48 64 -4.44089209850063e-16
+22 0 1 0 0 46 48 64 -4.44089209850063e-16
+22 0 1 0 0 48 48 64 -4.44089209850063e-16
+22 0 1 0 0 50 48 64 -4.44089209850063e-16
+22 0 1 0 0 52 48 64 -4.44089209850063e-16
+22 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 -4.44089209850063e-16
+23 0 2 0 0 28 48 64 -4.44089209850063e-16
+23 0 2 0 0 29 48 64 -4.44089209850063e-16
+23 0 2 0 0 30 48 64 -4.44089209850063e-16
+23 0 2 0 0 31 48 64 -4.44089209850063e-16
+23 0 2 0 0 32 48 64 -4.44089209850063e-16
+23 0 2 0 0 33 48 64 -4.44089209850063e-16
+23 0 2 0 0 34 48 64 -4.44089209850063e-16
+23 0 2 0 0 35 48 64 -4.44089209850063e-16
+23 0 2 0 0 36 48 64 -4.44089209850063e-16
+23 0 2 0 0 37 48 64 -4.44089209850063e-16
+23 0 2 0 0 38 48 64 -4.44089209850063e-16
+23 0 2 0 0 39 48 64 -4.44089209850063e-16
+23 0 2 0 0 40 48 64 -4.44089209850063e-16
+23 0 2 0 0 41 48 64 -4.44089209850063e-16
+23 0 2 0 0 42 48 64 -4.44089209850063e-16
+23 0 2 0 0 43 48 64 -4.44089209850063e-16
+23 0 2 0 0 44 48 64 -4.44089209850063e-16
+23 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 -4.44089209850063e-16
+24 0 2 0 0 28 48 64 -4.44089209850063e-16
+24 0 2 0 0 29 48 64 -4.44089209850063e-16
+24 0 2 0 0 30 48 64 -4.44089209850063e-16
+24 0 2 0 0 31 48 64 -4.44089209850063e-16
+24 0 2 0 0 32 48 64 -4.44089209850063e-16
+24 0 2 0 0 33 48 64 -4.44089209850063e-16
+24 0 2 0 0 34 48 64 -4.44089209850063e-16
+24 0 2 0 0 35 48 64 -4.44089209850063e-16
+24 0 2 0 0 36 48 64 -4.44089209850063e-16
+24 0 2 0 0 37 48 64 -4.44089209850063e-16
+24 0 2 0 0 38 48 64 -4.44089209850063e-16
+24 0 2 0 0 39 48 64 -4.44089209850063e-16
+24 0 2 0 0 40 48 64 -4.44089209850063e-16
+24 0 2 0 0 41 48 64 -4.44089209850063e-16
+24 0 2 0 0 42 48 64 -4.44089209850063e-16
+24 0 2 0 0 43 48 64 -4.44089209850063e-16
+24 0 2 0 0 44 48 64 -4.44089209850063e-16
+24 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 -4.44089209850063e-16
+24 0 1 0 0 20 48 64 -4.44089209850063e-16
+24 0 1 0 0 22 48 64 -4.44089209850063e-16
+24 0 1 0 0 24 48 64 -4.44089209850063e-16
+24 0 1 0 0 26 48 64 -4.44089209850063e-16
+24 0 1 0 0 28 48 64 -4.44089209850063e-16
+24 0 1 0 0 30 48 64 -4.44089209850063e-16
+24 0 1 0 0 32 48 64 -4.44089209850063e-16
+24 0 1 0 0 34 48 64 -4.44089209850063e-16
+24 0 1 0 0 36 48 64 -4.44089209850063e-16
+24 0 1 0 0 38 48 64 -4.44089209850063e-16
+24 0 1 0 0 40 48 64 -4.44089209850063e-16
+24 0 1 0 0 42 48 64 -4.44089209850063e-16
+24 0 1 0 0 44 48 64 -4.44089209850063e-16
+24 0 1 0 0 46 48 64 -4.44089209850063e-16
+24 0 1 0 0 48 48 64 -4.44089209850063e-16
+24 0 1 0 0 50 48 64 -4.44089209850063e-16
+24 0 1 0 0 52 48 64 -4.44089209850063e-16
+24 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -4.44089209850063e-16
+24 0 0 0 0 4 48 64 -4.44089209850063e-16
+24 0 0 0 0 8 48 64 -4.44089209850063e-16
+24 0 0 0 0 12 48 64 -4.44089209850063e-16
+24 0 0 0 0 16 48 64 -4.44089209850063e-16
+24 0 0 0 0 20 48 64 -4.44089209850063e-16
+24 0 0 0 0 24 48 64 -4.44089209850063e-16
+24 0 0 0 0 28 48 64 -4.44089209850063e-16
+24 0 0 0 0 32 48 64 -4.44089209850063e-16
+24 0 0 0 0 36 48 64 -4.44089209850063e-16
+24 0 0 0 0 40 48 64 -4.44089209850063e-16
+24 0 0 0 0 44 48 64 -4.44089209850063e-16
+24 0 0 0 0 48 48 64 -4.44089209850063e-16
+24 0 0 0 0 52 48 64 -4.44089209850063e-16
+24 0 0 0 0 56 48 64 -4.44089209850063e-16
+24 0 0 0 0 60 48 64 -4.44089209850063e-16
+24 0 0 0 0 64 48 64 -4.44089209850063e-16
+24 0 0 0 0 68 48 64 -4.44089209850063e-16
+24 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.yl
new file mode 100644
index 000000000..97fdbd2a8
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.yl
@@ -0,0 +1,1397 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 -1.35
+0 0 2 0 0 36 40 64 -1.2
+0 0 2 0 0 36 41 64 -1.05
+0 0 2 0 0 36 42 64 -0.9
+0 0 2 0 0 36 43 64 -0.75
+0 0 2 0 0 36 44 64 -0.6
+0 0 2 0 0 36 45 64 -0.45
+0 0 2 0 0 36 46 64 -0.3
+0 0 2 0 0 36 47 64 -0.15
+0 0 2 0 0 36 48 64 -4.44089209850063e-16
+0 0 2 0 0 36 49 64 0.15
+0 0 2 0 0 36 50 64 0.3
+0 0 2 0 0 36 51 64 0.45
+0 0 2 0 0 36 52 64 0.6
+0 0 2 0 0 36 53 64 0.75
+0 0 2 0 0 36 54 64 0.899999999999999
+0 0 2 0 0 36 55 64 1.05
+0 0 2 0 0 36 56 64 1.2
+0 0 2 0 0 36 57 64 1.35
+0 0 2 0 0 36 58 64 1.5
+0 0 2 0 0 36 59 64 1.65
+0 0 2 0 0 36 60 64 1.8
+0 0 2 0 0 36 61 64 1.95
+0 0 2 0 0 36 62 64 2.1
+0 0 2 0 0 36 63 64 2.25
+0 0 2 0 0 36 64 64 2.4
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -3.3
+0 0 1 0 0 36 28 64 -3
+0 0 1 0 0 36 30 64 -2.7
+0 0 1 0 0 36 32 64 -2.4
+0 0 1 0 0 36 34 64 -2.1
+0 0 1 0 0 36 36 64 -1.8
+0 0 1 0 0 36 38 64 -1.5
+0 0 1 0 0 36 40 64 -1.2
+0 0 1 0 0 36 42 64 -0.9
+0 0 1 0 0 36 44 64 -0.6
+0 0 1 0 0 36 46 64 -0.3
+0 0 1 0 0 36 48 64 -4.44089209850063e-16
+0 0 1 0 0 36 50 64 0.3
+0 0 1 0 0 36 52 64 0.6
+0 0 1 0 0 36 54 64 0.899999999999999
+0 0 1 0 0 36 56 64 1.2
+0 0 1 0 0 36 58 64 1.5
+0 0 1 0 0 36 60 64 1.8
+0 0 1 0 0 36 62 64 2.1
+0 0 1 0 0 36 64 64 2.4
+0 0 1 0 0 36 66 64 2.7
+0 0 1 0 0 36 68 64 3
+0 0 1 0 0 36 70 64 3.3
+0 0 1 0 0 36 72 64 3.6
+0 0 1 0 0 36 74 64 3.9
+0 0 1 0 0 36 76 64 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -7.2
+0 0 0 0 0 36 4 64 -6.6
+0 0 0 0 0 36 8 64 -6
+0 0 0 0 0 36 12 64 -5.4
+0 0 0 0 0 36 16 64 -4.8
+0 0 0 0 0 36 20 64 -4.2
+0 0 0 0 0 36 24 64 -3.6
+0 0 0 0 0 36 28 64 -3
+0 0 0 0 0 36 32 64 -2.4
+0 0 0 0 0 36 36 64 -1.8
+0 0 0 0 0 36 40 64 -1.2
+0 0 0 0 0 36 44 64 -0.6
+0 0 0 0 0 36 48 64 -4.44089209850063e-16
+0 0 0 0 0 36 52 64 0.6
+0 0 0 0 0 36 56 64 1.2
+0 0 0 0 0 36 60 64 1.8
+0 0 0 0 0 36 64 64 2.4
+0 0 0 0 0 36 68 64 3
+0 0 0 0 0 36 72 64 3.6
+0 0 0 0 0 36 76 64 4.2
+0 0 0 0 0 36 80 64 4.8
+0 0 0 0 0 36 84 64 5.4
+0 0 0 0 0 36 88 64 6
+0 0 0 0 0 36 92 64 6.6
+0 0 0 0 0 36 96 64 7.2
+0 0 0 0 0 36 100 64 7.8
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 -1.35
+1 0 2 0 0 36 40 64 -1.2
+1 0 2 0 0 36 41 64 -1.05
+1 0 2 0 0 36 42 64 -0.9
+1 0 2 0 0 36 43 64 -0.75
+1 0 2 0 0 36 44 64 -0.6
+1 0 2 0 0 36 45 64 -0.45
+1 0 2 0 0 36 46 64 -0.3
+1 0 2 0 0 36 47 64 -0.15
+1 0 2 0 0 36 48 64 -4.44089209850063e-16
+1 0 2 0 0 36 49 64 0.15
+1 0 2 0 0 36 50 64 0.3
+1 0 2 0 0 36 51 64 0.45
+1 0 2 0 0 36 52 64 0.6
+1 0 2 0 0 36 53 64 0.75
+1 0 2 0 0 36 54 64 0.899999999999999
+1 0 2 0 0 36 55 64 1.05
+1 0 2 0 0 36 56 64 1.2
+1 0 2 0 0 36 57 64 1.35
+1 0 2 0 0 36 58 64 1.5
+1 0 2 0 0 36 59 64 1.65
+1 0 2 0 0 36 60 64 1.8
+1 0 2 0 0 36 61 64 1.95
+1 0 2 0 0 36 62 64 2.1
+1 0 2 0 0 36 63 64 2.25
+1 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 -1.35
+2 0 2 0 0 36 40 64 -1.2
+2 0 2 0 0 36 41 64 -1.05
+2 0 2 0 0 36 42 64 -0.9
+2 0 2 0 0 36 43 64 -0.75
+2 0 2 0 0 36 44 64 -0.6
+2 0 2 0 0 36 45 64 -0.45
+2 0 2 0 0 36 46 64 -0.3
+2 0 2 0 0 36 47 64 -0.15
+2 0 2 0 0 36 48 64 -4.44089209850063e-16
+2 0 2 0 0 36 49 64 0.15
+2 0 2 0 0 36 50 64 0.3
+2 0 2 0 0 36 51 64 0.45
+2 0 2 0 0 36 52 64 0.6
+2 0 2 0 0 36 53 64 0.75
+2 0 2 0 0 36 54 64 0.899999999999999
+2 0 2 0 0 36 55 64 1.05
+2 0 2 0 0 36 56 64 1.2
+2 0 2 0 0 36 57 64 1.35
+2 0 2 0 0 36 58 64 1.5
+2 0 2 0 0 36 59 64 1.65
+2 0 2 0 0 36 60 64 1.8
+2 0 2 0 0 36 61 64 1.95
+2 0 2 0 0 36 62 64 2.1
+2 0 2 0 0 36 63 64 2.25
+2 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 -3.3
+2 0 1 0 0 36 28 64 -3
+2 0 1 0 0 36 30 64 -2.7
+2 0 1 0 0 36 32 64 -2.4
+2 0 1 0 0 36 34 64 -2.1
+2 0 1 0 0 36 36 64 -1.8
+2 0 1 0 0 36 38 64 -1.5
+2 0 1 0 0 36 40 64 -1.2
+2 0 1 0 0 36 42 64 -0.9
+2 0 1 0 0 36 44 64 -0.6
+2 0 1 0 0 36 46 64 -0.3
+2 0 1 0 0 36 48 64 -4.44089209850063e-16
+2 0 1 0 0 36 50 64 0.3
+2 0 1 0 0 36 52 64 0.6
+2 0 1 0 0 36 54 64 0.899999999999999
+2 0 1 0 0 36 56 64 1.2
+2 0 1 0 0 36 58 64 1.5
+2 0 1 0 0 36 60 64 1.8
+2 0 1 0 0 36 62 64 2.1
+2 0 1 0 0 36 64 64 2.4
+2 0 1 0 0 36 66 64 2.7
+2 0 1 0 0 36 68 64 3
+2 0 1 0 0 36 70 64 3.3
+2 0 1 0 0 36 72 64 3.6
+2 0 1 0 0 36 74 64 3.9
+2 0 1 0 0 36 76 64 4.2
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 -1.35
+3 0 2 0 0 36 40 64 -1.2
+3 0 2 0 0 36 41 64 -1.05
+3 0 2 0 0 36 42 64 -0.9
+3 0 2 0 0 36 43 64 -0.75
+3 0 2 0 0 36 44 64 -0.6
+3 0 2 0 0 36 45 64 -0.45
+3 0 2 0 0 36 46 64 -0.3
+3 0 2 0 0 36 47 64 -0.15
+3 0 2 0 0 36 48 64 -4.44089209850063e-16
+3 0 2 0 0 36 49 64 0.15
+3 0 2 0 0 36 50 64 0.3
+3 0 2 0 0 36 51 64 0.45
+3 0 2 0 0 36 52 64 0.6
+3 0 2 0 0 36 53 64 0.75
+3 0 2 0 0 36 54 64 0.899999999999999
+3 0 2 0 0 36 55 64 1.05
+3 0 2 0 0 36 56 64 1.2
+3 0 2 0 0 36 57 64 1.35
+3 0 2 0 0 36 58 64 1.5
+3 0 2 0 0 36 59 64 1.65
+3 0 2 0 0 36 60 64 1.8
+3 0 2 0 0 36 61 64 1.95
+3 0 2 0 0 36 62 64 2.1
+3 0 2 0 0 36 63 64 2.25
+3 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 -1.35
+4 0 2 0 0 36 40 64 -1.2
+4 0 2 0 0 36 41 64 -1.05
+4 0 2 0 0 36 42 64 -0.9
+4 0 2 0 0 36 43 64 -0.75
+4 0 2 0 0 36 44 64 -0.6
+4 0 2 0 0 36 45 64 -0.45
+4 0 2 0 0 36 46 64 -0.3
+4 0 2 0 0 36 47 64 -0.15
+4 0 2 0 0 36 48 64 -4.44089209850063e-16
+4 0 2 0 0 36 49 64 0.15
+4 0 2 0 0 36 50 64 0.3
+4 0 2 0 0 36 51 64 0.45
+4 0 2 0 0 36 52 64 0.6
+4 0 2 0 0 36 53 64 0.75
+4 0 2 0 0 36 54 64 0.899999999999999
+4 0 2 0 0 36 55 64 1.05
+4 0 2 0 0 36 56 64 1.2
+4 0 2 0 0 36 57 64 1.35
+4 0 2 0 0 36 58 64 1.5
+4 0 2 0 0 36 59 64 1.65
+4 0 2 0 0 36 60 64 1.8
+4 0 2 0 0 36 61 64 1.95
+4 0 2 0 0 36 62 64 2.1
+4 0 2 0 0 36 63 64 2.25
+4 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 -3.3
+4 0 1 0 0 36 28 64 -3
+4 0 1 0 0 36 30 64 -2.7
+4 0 1 0 0 36 32 64 -2.4
+4 0 1 0 0 36 34 64 -2.1
+4 0 1 0 0 36 36 64 -1.8
+4 0 1 0 0 36 38 64 -1.5
+4 0 1 0 0 36 40 64 -1.2
+4 0 1 0 0 36 42 64 -0.9
+4 0 1 0 0 36 44 64 -0.6
+4 0 1 0 0 36 46 64 -0.3
+4 0 1 0 0 36 48 64 -4.44089209850063e-16
+4 0 1 0 0 36 50 64 0.3
+4 0 1 0 0 36 52 64 0.6
+4 0 1 0 0 36 54 64 0.899999999999999
+4 0 1 0 0 36 56 64 1.2
+4 0 1 0 0 36 58 64 1.5
+4 0 1 0 0 36 60 64 1.8
+4 0 1 0 0 36 62 64 2.1
+4 0 1 0 0 36 64 64 2.4
+4 0 1 0 0 36 66 64 2.7
+4 0 1 0 0 36 68 64 3
+4 0 1 0 0 36 70 64 3.3
+4 0 1 0 0 36 72 64 3.6
+4 0 1 0 0 36 74 64 3.9
+4 0 1 0 0 36 76 64 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -7.2
+4 0 0 0 0 36 4 64 -6.6
+4 0 0 0 0 36 8 64 -6
+4 0 0 0 0 36 12 64 -5.4
+4 0 0 0 0 36 16 64 -4.8
+4 0 0 0 0 36 20 64 -4.2
+4 0 0 0 0 36 24 64 -3.6
+4 0 0 0 0 36 28 64 -3
+4 0 0 0 0 36 32 64 -2.4
+4 0 0 0 0 36 36 64 -1.8
+4 0 0 0 0 36 40 64 -1.2
+4 0 0 0 0 36 44 64 -0.6
+4 0 0 0 0 36 48 64 -4.44089209850063e-16
+4 0 0 0 0 36 52 64 0.6
+4 0 0 0 0 36 56 64 1.2
+4 0 0 0 0 36 60 64 1.8
+4 0 0 0 0 36 64 64 2.4
+4 0 0 0 0 36 68 64 3
+4 0 0 0 0 36 72 64 3.6
+4 0 0 0 0 36 76 64 4.2
+4 0 0 0 0 36 80 64 4.8
+4 0 0 0 0 36 84 64 5.4
+4 0 0 0 0 36 88 64 6
+4 0 0 0 0 36 92 64 6.6
+4 0 0 0 0 36 96 64 7.2
+4 0 0 0 0 36 100 64 7.8
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 -1.35
+5 0 2 0 0 36 40 64 -1.2
+5 0 2 0 0 36 41 64 -1.05
+5 0 2 0 0 36 42 64 -0.9
+5 0 2 0 0 36 43 64 -0.75
+5 0 2 0 0 36 44 64 -0.6
+5 0 2 0 0 36 45 64 -0.45
+5 0 2 0 0 36 46 64 -0.3
+5 0 2 0 0 36 47 64 -0.15
+5 0 2 0 0 36 48 64 -4.44089209850063e-16
+5 0 2 0 0 36 49 64 0.15
+5 0 2 0 0 36 50 64 0.3
+5 0 2 0 0 36 51 64 0.45
+5 0 2 0 0 36 52 64 0.6
+5 0 2 0 0 36 53 64 0.75
+5 0 2 0 0 36 54 64 0.899999999999999
+5 0 2 0 0 36 55 64 1.05
+5 0 2 0 0 36 56 64 1.2
+5 0 2 0 0 36 57 64 1.35
+5 0 2 0 0 36 58 64 1.5
+5 0 2 0 0 36 59 64 1.65
+5 0 2 0 0 36 60 64 1.8
+5 0 2 0 0 36 61 64 1.95
+5 0 2 0 0 36 62 64 2.1
+5 0 2 0 0 36 63 64 2.25
+5 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 -1.35
+6 0 2 0 0 36 40 64 -1.2
+6 0 2 0 0 36 41 64 -1.05
+6 0 2 0 0 36 42 64 -0.9
+6 0 2 0 0 36 43 64 -0.75
+6 0 2 0 0 36 44 64 -0.6
+6 0 2 0 0 36 45 64 -0.45
+6 0 2 0 0 36 46 64 -0.3
+6 0 2 0 0 36 47 64 -0.15
+6 0 2 0 0 36 48 64 -4.44089209850063e-16
+6 0 2 0 0 36 49 64 0.15
+6 0 2 0 0 36 50 64 0.3
+6 0 2 0 0 36 51 64 0.45
+6 0 2 0 0 36 52 64 0.6
+6 0 2 0 0 36 53 64 0.75
+6 0 2 0 0 36 54 64 0.899999999999999
+6 0 2 0 0 36 55 64 1.05
+6 0 2 0 0 36 56 64 1.2
+6 0 2 0 0 36 57 64 1.35
+6 0 2 0 0 36 58 64 1.5
+6 0 2 0 0 36 59 64 1.65
+6 0 2 0 0 36 60 64 1.8
+6 0 2 0 0 36 61 64 1.95
+6 0 2 0 0 36 62 64 2.1
+6 0 2 0 0 36 63 64 2.25
+6 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 -3.3
+6 0 1 0 0 36 28 64 -3
+6 0 1 0 0 36 30 64 -2.7
+6 0 1 0 0 36 32 64 -2.4
+6 0 1 0 0 36 34 64 -2.1
+6 0 1 0 0 36 36 64 -1.8
+6 0 1 0 0 36 38 64 -1.5
+6 0 1 0 0 36 40 64 -1.2
+6 0 1 0 0 36 42 64 -0.9
+6 0 1 0 0 36 44 64 -0.6
+6 0 1 0 0 36 46 64 -0.3
+6 0 1 0 0 36 48 64 -4.44089209850063e-16
+6 0 1 0 0 36 50 64 0.3
+6 0 1 0 0 36 52 64 0.6
+6 0 1 0 0 36 54 64 0.899999999999999
+6 0 1 0 0 36 56 64 1.2
+6 0 1 0 0 36 58 64 1.5
+6 0 1 0 0 36 60 64 1.8
+6 0 1 0 0 36 62 64 2.1
+6 0 1 0 0 36 64 64 2.4
+6 0 1 0 0 36 66 64 2.7
+6 0 1 0 0 36 68 64 3
+6 0 1 0 0 36 70 64 3.3
+6 0 1 0 0 36 72 64 3.6
+6 0 1 0 0 36 74 64 3.9
+6 0 1 0 0 36 76 64 4.2
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 -1.35
+7 0 2 0 0 36 40 64 -1.2
+7 0 2 0 0 36 41 64 -1.05
+7 0 2 0 0 36 42 64 -0.9
+7 0 2 0 0 36 43 64 -0.75
+7 0 2 0 0 36 44 64 -0.6
+7 0 2 0 0 36 45 64 -0.45
+7 0 2 0 0 36 46 64 -0.3
+7 0 2 0 0 36 47 64 -0.15
+7 0 2 0 0 36 48 64 -4.44089209850063e-16
+7 0 2 0 0 36 49 64 0.15
+7 0 2 0 0 36 50 64 0.3
+7 0 2 0 0 36 51 64 0.45
+7 0 2 0 0 36 52 64 0.6
+7 0 2 0 0 36 53 64 0.75
+7 0 2 0 0 36 54 64 0.899999999999999
+7 0 2 0 0 36 55 64 1.05
+7 0 2 0 0 36 56 64 1.2
+7 0 2 0 0 36 57 64 1.35
+7 0 2 0 0 36 58 64 1.5
+7 0 2 0 0 36 59 64 1.65
+7 0 2 0 0 36 60 64 1.8
+7 0 2 0 0 36 61 64 1.95
+7 0 2 0 0 36 62 64 2.1
+7 0 2 0 0 36 63 64 2.25
+7 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 -1.35
+8 0 2 0 0 36 40 64 -1.2
+8 0 2 0 0 36 41 64 -1.05
+8 0 2 0 0 36 42 64 -0.9
+8 0 2 0 0 36 43 64 -0.75
+8 0 2 0 0 36 44 64 -0.6
+8 0 2 0 0 36 45 64 -0.45
+8 0 2 0 0 36 46 64 -0.3
+8 0 2 0 0 36 47 64 -0.15
+8 0 2 0 0 36 48 64 -4.44089209850063e-16
+8 0 2 0 0 36 49 64 0.15
+8 0 2 0 0 36 50 64 0.3
+8 0 2 0 0 36 51 64 0.45
+8 0 2 0 0 36 52 64 0.6
+8 0 2 0 0 36 53 64 0.75
+8 0 2 0 0 36 54 64 0.899999999999999
+8 0 2 0 0 36 55 64 1.05
+8 0 2 0 0 36 56 64 1.2
+8 0 2 0 0 36 57 64 1.35
+8 0 2 0 0 36 58 64 1.5
+8 0 2 0 0 36 59 64 1.65
+8 0 2 0 0 36 60 64 1.8
+8 0 2 0 0 36 61 64 1.95
+8 0 2 0 0 36 62 64 2.1
+8 0 2 0 0 36 63 64 2.25
+8 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 -3.3
+8 0 1 0 0 36 28 64 -3
+8 0 1 0 0 36 30 64 -2.7
+8 0 1 0 0 36 32 64 -2.4
+8 0 1 0 0 36 34 64 -2.1
+8 0 1 0 0 36 36 64 -1.8
+8 0 1 0 0 36 38 64 -1.5
+8 0 1 0 0 36 40 64 -1.2
+8 0 1 0 0 36 42 64 -0.9
+8 0 1 0 0 36 44 64 -0.6
+8 0 1 0 0 36 46 64 -0.3
+8 0 1 0 0 36 48 64 -4.44089209850063e-16
+8 0 1 0 0 36 50 64 0.3
+8 0 1 0 0 36 52 64 0.6
+8 0 1 0 0 36 54 64 0.899999999999999
+8 0 1 0 0 36 56 64 1.2
+8 0 1 0 0 36 58 64 1.5
+8 0 1 0 0 36 60 64 1.8
+8 0 1 0 0 36 62 64 2.1
+8 0 1 0 0 36 64 64 2.4
+8 0 1 0 0 36 66 64 2.7
+8 0 1 0 0 36 68 64 3
+8 0 1 0 0 36 70 64 3.3
+8 0 1 0 0 36 72 64 3.6
+8 0 1 0 0 36 74 64 3.9
+8 0 1 0 0 36 76 64 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -7.2
+8 0 0 0 0 36 4 64 -6.6
+8 0 0 0 0 36 8 64 -6
+8 0 0 0 0 36 12 64 -5.4
+8 0 0 0 0 36 16 64 -4.8
+8 0 0 0 0 36 20 64 -4.2
+8 0 0 0 0 36 24 64 -3.6
+8 0 0 0 0 36 28 64 -3
+8 0 0 0 0 36 32 64 -2.4
+8 0 0 0 0 36 36 64 -1.8
+8 0 0 0 0 36 40 64 -1.2
+8 0 0 0 0 36 44 64 -0.6
+8 0 0 0 0 36 48 64 -4.44089209850063e-16
+8 0 0 0 0 36 52 64 0.6
+8 0 0 0 0 36 56 64 1.2
+8 0 0 0 0 36 60 64 1.8
+8 0 0 0 0 36 64 64 2.4
+8 0 0 0 0 36 68 64 3
+8 0 0 0 0 36 72 64 3.6
+8 0 0 0 0 36 76 64 4.2
+8 0 0 0 0 36 80 64 4.8
+8 0 0 0 0 36 84 64 5.4
+8 0 0 0 0 36 88 64 6
+8 0 0 0 0 36 92 64 6.6
+8 0 0 0 0 36 96 64 7.2
+8 0 0 0 0 36 100 64 7.8
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 -1.35
+9 0 2 0 0 36 40 64 -1.2
+9 0 2 0 0 36 41 64 -1.05
+9 0 2 0 0 36 42 64 -0.9
+9 0 2 0 0 36 43 64 -0.75
+9 0 2 0 0 36 44 64 -0.6
+9 0 2 0 0 36 45 64 -0.45
+9 0 2 0 0 36 46 64 -0.3
+9 0 2 0 0 36 47 64 -0.15
+9 0 2 0 0 36 48 64 -4.44089209850063e-16
+9 0 2 0 0 36 49 64 0.15
+9 0 2 0 0 36 50 64 0.3
+9 0 2 0 0 36 51 64 0.45
+9 0 2 0 0 36 52 64 0.6
+9 0 2 0 0 36 53 64 0.75
+9 0 2 0 0 36 54 64 0.899999999999999
+9 0 2 0 0 36 55 64 1.05
+9 0 2 0 0 36 56 64 1.2
+9 0 2 0 0 36 57 64 1.35
+9 0 2 0 0 36 58 64 1.5
+9 0 2 0 0 36 59 64 1.65
+9 0 2 0 0 36 60 64 1.8
+9 0 2 0 0 36 61 64 1.95
+9 0 2 0 0 36 62 64 2.1
+9 0 2 0 0 36 63 64 2.25
+9 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 -1.35
+10 0 2 0 0 36 40 64 -1.2
+10 0 2 0 0 36 41 64 -1.05
+10 0 2 0 0 36 42 64 -0.9
+10 0 2 0 0 36 43 64 -0.75
+10 0 2 0 0 36 44 64 -0.6
+10 0 2 0 0 36 45 64 -0.45
+10 0 2 0 0 36 46 64 -0.3
+10 0 2 0 0 36 47 64 -0.15
+10 0 2 0 0 36 48 64 -4.44089209850063e-16
+10 0 2 0 0 36 49 64 0.15
+10 0 2 0 0 36 50 64 0.3
+10 0 2 0 0 36 51 64 0.45
+10 0 2 0 0 36 52 64 0.6
+10 0 2 0 0 36 53 64 0.75
+10 0 2 0 0 36 54 64 0.899999999999999
+10 0 2 0 0 36 55 64 1.05
+10 0 2 0 0 36 56 64 1.2
+10 0 2 0 0 36 57 64 1.35
+10 0 2 0 0 36 58 64 1.5
+10 0 2 0 0 36 59 64 1.65
+10 0 2 0 0 36 60 64 1.8
+10 0 2 0 0 36 61 64 1.95
+10 0 2 0 0 36 62 64 2.1
+10 0 2 0 0 36 63 64 2.25
+10 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 -3.3
+10 0 1 0 0 36 28 64 -3
+10 0 1 0 0 36 30 64 -2.7
+10 0 1 0 0 36 32 64 -2.4
+10 0 1 0 0 36 34 64 -2.1
+10 0 1 0 0 36 36 64 -1.8
+10 0 1 0 0 36 38 64 -1.5
+10 0 1 0 0 36 40 64 -1.2
+10 0 1 0 0 36 42 64 -0.9
+10 0 1 0 0 36 44 64 -0.6
+10 0 1 0 0 36 46 64 -0.3
+10 0 1 0 0 36 48 64 -4.44089209850063e-16
+10 0 1 0 0 36 50 64 0.3
+10 0 1 0 0 36 52 64 0.6
+10 0 1 0 0 36 54 64 0.899999999999999
+10 0 1 0 0 36 56 64 1.2
+10 0 1 0 0 36 58 64 1.5
+10 0 1 0 0 36 60 64 1.8
+10 0 1 0 0 36 62 64 2.1
+10 0 1 0 0 36 64 64 2.4
+10 0 1 0 0 36 66 64 2.7
+10 0 1 0 0 36 68 64 3
+10 0 1 0 0 36 70 64 3.3
+10 0 1 0 0 36 72 64 3.6
+10 0 1 0 0 36 74 64 3.9
+10 0 1 0 0 36 76 64 4.2
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 -1.35
+11 0 2 0 0 36 40 64 -1.2
+11 0 2 0 0 36 41 64 -1.05
+11 0 2 0 0 36 42 64 -0.9
+11 0 2 0 0 36 43 64 -0.75
+11 0 2 0 0 36 44 64 -0.6
+11 0 2 0 0 36 45 64 -0.45
+11 0 2 0 0 36 46 64 -0.3
+11 0 2 0 0 36 47 64 -0.15
+11 0 2 0 0 36 48 64 -4.44089209850063e-16
+11 0 2 0 0 36 49 64 0.15
+11 0 2 0 0 36 50 64 0.3
+11 0 2 0 0 36 51 64 0.45
+11 0 2 0 0 36 52 64 0.6
+11 0 2 0 0 36 53 64 0.75
+11 0 2 0 0 36 54 64 0.899999999999999
+11 0 2 0 0 36 55 64 1.05
+11 0 2 0 0 36 56 64 1.2
+11 0 2 0 0 36 57 64 1.35
+11 0 2 0 0 36 58 64 1.5
+11 0 2 0 0 36 59 64 1.65
+11 0 2 0 0 36 60 64 1.8
+11 0 2 0 0 36 61 64 1.95
+11 0 2 0 0 36 62 64 2.1
+11 0 2 0 0 36 63 64 2.25
+11 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 -1.35
+12 0 2 0 0 36 40 64 -1.2
+12 0 2 0 0 36 41 64 -1.05
+12 0 2 0 0 36 42 64 -0.9
+12 0 2 0 0 36 43 64 -0.75
+12 0 2 0 0 36 44 64 -0.6
+12 0 2 0 0 36 45 64 -0.45
+12 0 2 0 0 36 46 64 -0.3
+12 0 2 0 0 36 47 64 -0.15
+12 0 2 0 0 36 48 64 -4.44089209850063e-16
+12 0 2 0 0 36 49 64 0.15
+12 0 2 0 0 36 50 64 0.3
+12 0 2 0 0 36 51 64 0.45
+12 0 2 0 0 36 52 64 0.6
+12 0 2 0 0 36 53 64 0.75
+12 0 2 0 0 36 54 64 0.899999999999999
+12 0 2 0 0 36 55 64 1.05
+12 0 2 0 0 36 56 64 1.2
+12 0 2 0 0 36 57 64 1.35
+12 0 2 0 0 36 58 64 1.5
+12 0 2 0 0 36 59 64 1.65
+12 0 2 0 0 36 60 64 1.8
+12 0 2 0 0 36 61 64 1.95
+12 0 2 0 0 36 62 64 2.1
+12 0 2 0 0 36 63 64 2.25
+12 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 -3.3
+12 0 1 0 0 36 28 64 -3
+12 0 1 0 0 36 30 64 -2.7
+12 0 1 0 0 36 32 64 -2.4
+12 0 1 0 0 36 34 64 -2.1
+12 0 1 0 0 36 36 64 -1.8
+12 0 1 0 0 36 38 64 -1.5
+12 0 1 0 0 36 40 64 -1.2
+12 0 1 0 0 36 42 64 -0.9
+12 0 1 0 0 36 44 64 -0.6
+12 0 1 0 0 36 46 64 -0.3
+12 0 1 0 0 36 48 64 -4.44089209850063e-16
+12 0 1 0 0 36 50 64 0.3
+12 0 1 0 0 36 52 64 0.6
+12 0 1 0 0 36 54 64 0.899999999999999
+12 0 1 0 0 36 56 64 1.2
+12 0 1 0 0 36 58 64 1.5
+12 0 1 0 0 36 60 64 1.8
+12 0 1 0 0 36 62 64 2.1
+12 0 1 0 0 36 64 64 2.4
+12 0 1 0 0 36 66 64 2.7
+12 0 1 0 0 36 68 64 3
+12 0 1 0 0 36 70 64 3.3
+12 0 1 0 0 36 72 64 3.6
+12 0 1 0 0 36 74 64 3.9
+12 0 1 0 0 36 76 64 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -7.2
+12 0 0 0 0 36 4 64 -6.6
+12 0 0 0 0 36 8 64 -6
+12 0 0 0 0 36 12 64 -5.4
+12 0 0 0 0 36 16 64 -4.8
+12 0 0 0 0 36 20 64 -4.2
+12 0 0 0 0 36 24 64 -3.6
+12 0 0 0 0 36 28 64 -3
+12 0 0 0 0 36 32 64 -2.4
+12 0 0 0 0 36 36 64 -1.8
+12 0 0 0 0 36 40 64 -1.2
+12 0 0 0 0 36 44 64 -0.6
+12 0 0 0 0 36 48 64 -4.44089209850063e-16
+12 0 0 0 0 36 52 64 0.6
+12 0 0 0 0 36 56 64 1.2
+12 0 0 0 0 36 60 64 1.8
+12 0 0 0 0 36 64 64 2.4
+12 0 0 0 0 36 68 64 3
+12 0 0 0 0 36 72 64 3.6
+12 0 0 0 0 36 76 64 4.2
+12 0 0 0 0 36 80 64 4.8
+12 0 0 0 0 36 84 64 5.4
+12 0 0 0 0 36 88 64 6
+12 0 0 0 0 36 92 64 6.6
+12 0 0 0 0 36 96 64 7.2
+12 0 0 0 0 36 100 64 7.8
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 -1.35
+13 0 2 0 0 36 40 64 -1.2
+13 0 2 0 0 36 41 64 -1.05
+13 0 2 0 0 36 42 64 -0.9
+13 0 2 0 0 36 43 64 -0.75
+13 0 2 0 0 36 44 64 -0.6
+13 0 2 0 0 36 45 64 -0.45
+13 0 2 0 0 36 46 64 -0.3
+13 0 2 0 0 36 47 64 -0.15
+13 0 2 0 0 36 48 64 -4.44089209850063e-16
+13 0 2 0 0 36 49 64 0.15
+13 0 2 0 0 36 50 64 0.3
+13 0 2 0 0 36 51 64 0.45
+13 0 2 0 0 36 52 64 0.6
+13 0 2 0 0 36 53 64 0.75
+13 0 2 0 0 36 54 64 0.899999999999999
+13 0 2 0 0 36 55 64 1.05
+13 0 2 0 0 36 56 64 1.2
+13 0 2 0 0 36 57 64 1.35
+13 0 2 0 0 36 58 64 1.5
+13 0 2 0 0 36 59 64 1.65
+13 0 2 0 0 36 60 64 1.8
+13 0 2 0 0 36 61 64 1.95
+13 0 2 0 0 36 62 64 2.1
+13 0 2 0 0 36 63 64 2.25
+13 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 -1.35
+14 0 2 0 0 36 40 64 -1.2
+14 0 2 0 0 36 41 64 -1.05
+14 0 2 0 0 36 42 64 -0.9
+14 0 2 0 0 36 43 64 -0.75
+14 0 2 0 0 36 44 64 -0.6
+14 0 2 0 0 36 45 64 -0.45
+14 0 2 0 0 36 46 64 -0.3
+14 0 2 0 0 36 47 64 -0.15
+14 0 2 0 0 36 48 64 -4.44089209850063e-16
+14 0 2 0 0 36 49 64 0.15
+14 0 2 0 0 36 50 64 0.3
+14 0 2 0 0 36 51 64 0.45
+14 0 2 0 0 36 52 64 0.6
+14 0 2 0 0 36 53 64 0.75
+14 0 2 0 0 36 54 64 0.899999999999999
+14 0 2 0 0 36 55 64 1.05
+14 0 2 0 0 36 56 64 1.2
+14 0 2 0 0 36 57 64 1.35
+14 0 2 0 0 36 58 64 1.5
+14 0 2 0 0 36 59 64 1.65
+14 0 2 0 0 36 60 64 1.8
+14 0 2 0 0 36 61 64 1.95
+14 0 2 0 0 36 62 64 2.1
+14 0 2 0 0 36 63 64 2.25
+14 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 -3.3
+14 0 1 0 0 36 28 64 -3
+14 0 1 0 0 36 30 64 -2.7
+14 0 1 0 0 36 32 64 -2.4
+14 0 1 0 0 36 34 64 -2.1
+14 0 1 0 0 36 36 64 -1.8
+14 0 1 0 0 36 38 64 -1.5
+14 0 1 0 0 36 40 64 -1.2
+14 0 1 0 0 36 42 64 -0.9
+14 0 1 0 0 36 44 64 -0.6
+14 0 1 0 0 36 46 64 -0.3
+14 0 1 0 0 36 48 64 -4.44089209850063e-16
+14 0 1 0 0 36 50 64 0.3
+14 0 1 0 0 36 52 64 0.6
+14 0 1 0 0 36 54 64 0.899999999999999
+14 0 1 0 0 36 56 64 1.2
+14 0 1 0 0 36 58 64 1.5
+14 0 1 0 0 36 60 64 1.8
+14 0 1 0 0 36 62 64 2.1
+14 0 1 0 0 36 64 64 2.4
+14 0 1 0 0 36 66 64 2.7
+14 0 1 0 0 36 68 64 3
+14 0 1 0 0 36 70 64 3.3
+14 0 1 0 0 36 72 64 3.6
+14 0 1 0 0 36 74 64 3.9
+14 0 1 0 0 36 76 64 4.2
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 -1.35
+15 0 2 0 0 36 40 64 -1.2
+15 0 2 0 0 36 41 64 -1.05
+15 0 2 0 0 36 42 64 -0.9
+15 0 2 0 0 36 43 64 -0.75
+15 0 2 0 0 36 44 64 -0.6
+15 0 2 0 0 36 45 64 -0.45
+15 0 2 0 0 36 46 64 -0.3
+15 0 2 0 0 36 47 64 -0.15
+15 0 2 0 0 36 48 64 -4.44089209850063e-16
+15 0 2 0 0 36 49 64 0.15
+15 0 2 0 0 36 50 64 0.3
+15 0 2 0 0 36 51 64 0.45
+15 0 2 0 0 36 52 64 0.6
+15 0 2 0 0 36 53 64 0.75
+15 0 2 0 0 36 54 64 0.899999999999999
+15 0 2 0 0 36 55 64 1.05
+15 0 2 0 0 36 56 64 1.2
+15 0 2 0 0 36 57 64 1.35
+15 0 2 0 0 36 58 64 1.5
+15 0 2 0 0 36 59 64 1.65
+15 0 2 0 0 36 60 64 1.8
+15 0 2 0 0 36 61 64 1.95
+15 0 2 0 0 36 62 64 2.1
+15 0 2 0 0 36 63 64 2.25
+15 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 -1.35
+16 0 2 0 0 36 40 64 -1.2
+16 0 2 0 0 36 41 64 -1.05
+16 0 2 0 0 36 42 64 -0.9
+16 0 2 0 0 36 43 64 -0.75
+16 0 2 0 0 36 44 64 -0.6
+16 0 2 0 0 36 45 64 -0.45
+16 0 2 0 0 36 46 64 -0.3
+16 0 2 0 0 36 47 64 -0.15
+16 0 2 0 0 36 48 64 -4.44089209850063e-16
+16 0 2 0 0 36 49 64 0.15
+16 0 2 0 0 36 50 64 0.3
+16 0 2 0 0 36 51 64 0.45
+16 0 2 0 0 36 52 64 0.6
+16 0 2 0 0 36 53 64 0.75
+16 0 2 0 0 36 54 64 0.899999999999999
+16 0 2 0 0 36 55 64 1.05
+16 0 2 0 0 36 56 64 1.2
+16 0 2 0 0 36 57 64 1.35
+16 0 2 0 0 36 58 64 1.5
+16 0 2 0 0 36 59 64 1.65
+16 0 2 0 0 36 60 64 1.8
+16 0 2 0 0 36 61 64 1.95
+16 0 2 0 0 36 62 64 2.1
+16 0 2 0 0 36 63 64 2.25
+16 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 -3.3
+16 0 1 0 0 36 28 64 -3
+16 0 1 0 0 36 30 64 -2.7
+16 0 1 0 0 36 32 64 -2.4
+16 0 1 0 0 36 34 64 -2.1
+16 0 1 0 0 36 36 64 -1.8
+16 0 1 0 0 36 38 64 -1.5
+16 0 1 0 0 36 40 64 -1.2
+16 0 1 0 0 36 42 64 -0.9
+16 0 1 0 0 36 44 64 -0.6
+16 0 1 0 0 36 46 64 -0.3
+16 0 1 0 0 36 48 64 -4.44089209850063e-16
+16 0 1 0 0 36 50 64 0.3
+16 0 1 0 0 36 52 64 0.6
+16 0 1 0 0 36 54 64 0.899999999999999
+16 0 1 0 0 36 56 64 1.2
+16 0 1 0 0 36 58 64 1.5
+16 0 1 0 0 36 60 64 1.8
+16 0 1 0 0 36 62 64 2.1
+16 0 1 0 0 36 64 64 2.4
+16 0 1 0 0 36 66 64 2.7
+16 0 1 0 0 36 68 64 3
+16 0 1 0 0 36 70 64 3.3
+16 0 1 0 0 36 72 64 3.6
+16 0 1 0 0 36 74 64 3.9
+16 0 1 0 0 36 76 64 4.2
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -7.2
+16 0 0 0 0 36 4 64 -6.6
+16 0 0 0 0 36 8 64 -6
+16 0 0 0 0 36 12 64 -5.4
+16 0 0 0 0 36 16 64 -4.8
+16 0 0 0 0 36 20 64 -4.2
+16 0 0 0 0 36 24 64 -3.6
+16 0 0 0 0 36 28 64 -3
+16 0 0 0 0 36 32 64 -2.4
+16 0 0 0 0 36 36 64 -1.8
+16 0 0 0 0 36 40 64 -1.2
+16 0 0 0 0 36 44 64 -0.6
+16 0 0 0 0 36 48 64 -4.44089209850063e-16
+16 0 0 0 0 36 52 64 0.6
+16 0 0 0 0 36 56 64 1.2
+16 0 0 0 0 36 60 64 1.8
+16 0 0 0 0 36 64 64 2.4
+16 0 0 0 0 36 68 64 3
+16 0 0 0 0 36 72 64 3.6
+16 0 0 0 0 36 76 64 4.2
+16 0 0 0 0 36 80 64 4.8
+16 0 0 0 0 36 84 64 5.4
+16 0 0 0 0 36 88 64 6
+16 0 0 0 0 36 92 64 6.6
+16 0 0 0 0 36 96 64 7.2
+16 0 0 0 0 36 100 64 7.8
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 -1.35
+17 0 2 0 0 36 40 64 -1.2
+17 0 2 0 0 36 41 64 -1.05
+17 0 2 0 0 36 42 64 -0.9
+17 0 2 0 0 36 43 64 -0.75
+17 0 2 0 0 36 44 64 -0.6
+17 0 2 0 0 36 45 64 -0.45
+17 0 2 0 0 36 46 64 -0.3
+17 0 2 0 0 36 47 64 -0.15
+17 0 2 0 0 36 48 64 -4.44089209850063e-16
+17 0 2 0 0 36 49 64 0.15
+17 0 2 0 0 36 50 64 0.3
+17 0 2 0 0 36 51 64 0.45
+17 0 2 0 0 36 52 64 0.6
+17 0 2 0 0 36 53 64 0.75
+17 0 2 0 0 36 54 64 0.899999999999999
+17 0 2 0 0 36 55 64 1.05
+17 0 2 0 0 36 56 64 1.2
+17 0 2 0 0 36 57 64 1.35
+17 0 2 0 0 36 58 64 1.5
+17 0 2 0 0 36 59 64 1.65
+17 0 2 0 0 36 60 64 1.8
+17 0 2 0 0 36 61 64 1.95
+17 0 2 0 0 36 62 64 2.1
+17 0 2 0 0 36 63 64 2.25
+17 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 -1.35
+18 0 2 0 0 36 40 64 -1.2
+18 0 2 0 0 36 41 64 -1.05
+18 0 2 0 0 36 42 64 -0.9
+18 0 2 0 0 36 43 64 -0.75
+18 0 2 0 0 36 44 64 -0.6
+18 0 2 0 0 36 45 64 -0.45
+18 0 2 0 0 36 46 64 -0.3
+18 0 2 0 0 36 47 64 -0.15
+18 0 2 0 0 36 48 64 -4.44089209850063e-16
+18 0 2 0 0 36 49 64 0.15
+18 0 2 0 0 36 50 64 0.3
+18 0 2 0 0 36 51 64 0.45
+18 0 2 0 0 36 52 64 0.6
+18 0 2 0 0 36 53 64 0.75
+18 0 2 0 0 36 54 64 0.899999999999999
+18 0 2 0 0 36 55 64 1.05
+18 0 2 0 0 36 56 64 1.2
+18 0 2 0 0 36 57 64 1.35
+18 0 2 0 0 36 58 64 1.5
+18 0 2 0 0 36 59 64 1.65
+18 0 2 0 0 36 60 64 1.8
+18 0 2 0 0 36 61 64 1.95
+18 0 2 0 0 36 62 64 2.1
+18 0 2 0 0 36 63 64 2.25
+18 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 -3.3
+18 0 1 0 0 36 28 64 -3
+18 0 1 0 0 36 30 64 -2.7
+18 0 1 0 0 36 32 64 -2.4
+18 0 1 0 0 36 34 64 -2.1
+18 0 1 0 0 36 36 64 -1.8
+18 0 1 0 0 36 38 64 -1.5
+18 0 1 0 0 36 40 64 -1.2
+18 0 1 0 0 36 42 64 -0.9
+18 0 1 0 0 36 44 64 -0.6
+18 0 1 0 0 36 46 64 -0.3
+18 0 1 0 0 36 48 64 -4.44089209850063e-16
+18 0 1 0 0 36 50 64 0.3
+18 0 1 0 0 36 52 64 0.6
+18 0 1 0 0 36 54 64 0.899999999999999
+18 0 1 0 0 36 56 64 1.2
+18 0 1 0 0 36 58 64 1.5
+18 0 1 0 0 36 60 64 1.8
+18 0 1 0 0 36 62 64 2.1
+18 0 1 0 0 36 64 64 2.4
+18 0 1 0 0 36 66 64 2.7
+18 0 1 0 0 36 68 64 3
+18 0 1 0 0 36 70 64 3.3
+18 0 1 0 0 36 72 64 3.6
+18 0 1 0 0 36 74 64 3.9
+18 0 1 0 0 36 76 64 4.2
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 -1.35
+19 0 2 0 0 36 40 64 -1.2
+19 0 2 0 0 36 41 64 -1.05
+19 0 2 0 0 36 42 64 -0.9
+19 0 2 0 0 36 43 64 -0.75
+19 0 2 0 0 36 44 64 -0.6
+19 0 2 0 0 36 45 64 -0.45
+19 0 2 0 0 36 46 64 -0.3
+19 0 2 0 0 36 47 64 -0.15
+19 0 2 0 0 36 48 64 -4.44089209850063e-16
+19 0 2 0 0 36 49 64 0.15
+19 0 2 0 0 36 50 64 0.3
+19 0 2 0 0 36 51 64 0.45
+19 0 2 0 0 36 52 64 0.6
+19 0 2 0 0 36 53 64 0.75
+19 0 2 0 0 36 54 64 0.899999999999999
+19 0 2 0 0 36 55 64 1.05
+19 0 2 0 0 36 56 64 1.2
+19 0 2 0 0 36 57 64 1.35
+19 0 2 0 0 36 58 64 1.5
+19 0 2 0 0 36 59 64 1.65
+19 0 2 0 0 36 60 64 1.8
+19 0 2 0 0 36 61 64 1.95
+19 0 2 0 0 36 62 64 2.1
+19 0 2 0 0 36 63 64 2.25
+19 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 -1.35
+20 0 2 0 0 36 40 64 -1.2
+20 0 2 0 0 36 41 64 -1.05
+20 0 2 0 0 36 42 64 -0.9
+20 0 2 0 0 36 43 64 -0.75
+20 0 2 0 0 36 44 64 -0.6
+20 0 2 0 0 36 45 64 -0.45
+20 0 2 0 0 36 46 64 -0.3
+20 0 2 0 0 36 47 64 -0.15
+20 0 2 0 0 36 48 64 -4.44089209850063e-16
+20 0 2 0 0 36 49 64 0.15
+20 0 2 0 0 36 50 64 0.3
+20 0 2 0 0 36 51 64 0.45
+20 0 2 0 0 36 52 64 0.6
+20 0 2 0 0 36 53 64 0.75
+20 0 2 0 0 36 54 64 0.899999999999999
+20 0 2 0 0 36 55 64 1.05
+20 0 2 0 0 36 56 64 1.2
+20 0 2 0 0 36 57 64 1.35
+20 0 2 0 0 36 58 64 1.5
+20 0 2 0 0 36 59 64 1.65
+20 0 2 0 0 36 60 64 1.8
+20 0 2 0 0 36 61 64 1.95
+20 0 2 0 0 36 62 64 2.1
+20 0 2 0 0 36 63 64 2.25
+20 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 -3.3
+20 0 1 0 0 36 28 64 -3
+20 0 1 0 0 36 30 64 -2.7
+20 0 1 0 0 36 32 64 -2.4
+20 0 1 0 0 36 34 64 -2.1
+20 0 1 0 0 36 36 64 -1.8
+20 0 1 0 0 36 38 64 -1.5
+20 0 1 0 0 36 40 64 -1.2
+20 0 1 0 0 36 42 64 -0.9
+20 0 1 0 0 36 44 64 -0.6
+20 0 1 0 0 36 46 64 -0.3
+20 0 1 0 0 36 48 64 -4.44089209850063e-16
+20 0 1 0 0 36 50 64 0.3
+20 0 1 0 0 36 52 64 0.6
+20 0 1 0 0 36 54 64 0.899999999999999
+20 0 1 0 0 36 56 64 1.2
+20 0 1 0 0 36 58 64 1.5
+20 0 1 0 0 36 60 64 1.8
+20 0 1 0 0 36 62 64 2.1
+20 0 1 0 0 36 64 64 2.4
+20 0 1 0 0 36 66 64 2.7
+20 0 1 0 0 36 68 64 3
+20 0 1 0 0 36 70 64 3.3
+20 0 1 0 0 36 72 64 3.6
+20 0 1 0 0 36 74 64 3.9
+20 0 1 0 0 36 76 64 4.2
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -7.2
+20 0 0 0 0 36 4 64 -6.6
+20 0 0 0 0 36 8 64 -6
+20 0 0 0 0 36 12 64 -5.4
+20 0 0 0 0 36 16 64 -4.8
+20 0 0 0 0 36 20 64 -4.2
+20 0 0 0 0 36 24 64 -3.6
+20 0 0 0 0 36 28 64 -3
+20 0 0 0 0 36 32 64 -2.4
+20 0 0 0 0 36 36 64 -1.8
+20 0 0 0 0 36 40 64 -1.2
+20 0 0 0 0 36 44 64 -0.6
+20 0 0 0 0 36 48 64 -4.44089209850063e-16
+20 0 0 0 0 36 52 64 0.6
+20 0 0 0 0 36 56 64 1.2
+20 0 0 0 0 36 60 64 1.8
+20 0 0 0 0 36 64 64 2.4
+20 0 0 0 0 36 68 64 3
+20 0 0 0 0 36 72 64 3.6
+20 0 0 0 0 36 76 64 4.2
+20 0 0 0 0 36 80 64 4.8
+20 0 0 0 0 36 84 64 5.4
+20 0 0 0 0 36 88 64 6
+20 0 0 0 0 36 92 64 6.6
+20 0 0 0 0 36 96 64 7.2
+20 0 0 0 0 36 100 64 7.8
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 -1.35
+21 0 2 0 0 36 40 64 -1.2
+21 0 2 0 0 36 41 64 -1.05
+21 0 2 0 0 36 42 64 -0.9
+21 0 2 0 0 36 43 64 -0.75
+21 0 2 0 0 36 44 64 -0.6
+21 0 2 0 0 36 45 64 -0.45
+21 0 2 0 0 36 46 64 -0.3
+21 0 2 0 0 36 47 64 -0.15
+21 0 2 0 0 36 48 64 -4.44089209850063e-16
+21 0 2 0 0 36 49 64 0.15
+21 0 2 0 0 36 50 64 0.3
+21 0 2 0 0 36 51 64 0.45
+21 0 2 0 0 36 52 64 0.6
+21 0 2 0 0 36 53 64 0.75
+21 0 2 0 0 36 54 64 0.899999999999999
+21 0 2 0 0 36 55 64 1.05
+21 0 2 0 0 36 56 64 1.2
+21 0 2 0 0 36 57 64 1.35
+21 0 2 0 0 36 58 64 1.5
+21 0 2 0 0 36 59 64 1.65
+21 0 2 0 0 36 60 64 1.8
+21 0 2 0 0 36 61 64 1.95
+21 0 2 0 0 36 62 64 2.1
+21 0 2 0 0 36 63 64 2.25
+21 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 -1.35
+22 0 2 0 0 36 40 64 -1.2
+22 0 2 0 0 36 41 64 -1.05
+22 0 2 0 0 36 42 64 -0.9
+22 0 2 0 0 36 43 64 -0.75
+22 0 2 0 0 36 44 64 -0.6
+22 0 2 0 0 36 45 64 -0.45
+22 0 2 0 0 36 46 64 -0.3
+22 0 2 0 0 36 47 64 -0.15
+22 0 2 0 0 36 48 64 -4.44089209850063e-16
+22 0 2 0 0 36 49 64 0.15
+22 0 2 0 0 36 50 64 0.3
+22 0 2 0 0 36 51 64 0.45
+22 0 2 0 0 36 52 64 0.6
+22 0 2 0 0 36 53 64 0.75
+22 0 2 0 0 36 54 64 0.899999999999999
+22 0 2 0 0 36 55 64 1.05
+22 0 2 0 0 36 56 64 1.2
+22 0 2 0 0 36 57 64 1.35
+22 0 2 0 0 36 58 64 1.5
+22 0 2 0 0 36 59 64 1.65
+22 0 2 0 0 36 60 64 1.8
+22 0 2 0 0 36 61 64 1.95
+22 0 2 0 0 36 62 64 2.1
+22 0 2 0 0 36 63 64 2.25
+22 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 -3.3
+22 0 1 0 0 36 28 64 -3
+22 0 1 0 0 36 30 64 -2.7
+22 0 1 0 0 36 32 64 -2.4
+22 0 1 0 0 36 34 64 -2.1
+22 0 1 0 0 36 36 64 -1.8
+22 0 1 0 0 36 38 64 -1.5
+22 0 1 0 0 36 40 64 -1.2
+22 0 1 0 0 36 42 64 -0.9
+22 0 1 0 0 36 44 64 -0.6
+22 0 1 0 0 36 46 64 -0.3
+22 0 1 0 0 36 48 64 -4.44089209850063e-16
+22 0 1 0 0 36 50 64 0.3
+22 0 1 0 0 36 52 64 0.6
+22 0 1 0 0 36 54 64 0.899999999999999
+22 0 1 0 0 36 56 64 1.2
+22 0 1 0 0 36 58 64 1.5
+22 0 1 0 0 36 60 64 1.8
+22 0 1 0 0 36 62 64 2.1
+22 0 1 0 0 36 64 64 2.4
+22 0 1 0 0 36 66 64 2.7
+22 0 1 0 0 36 68 64 3
+22 0 1 0 0 36 70 64 3.3
+22 0 1 0 0 36 72 64 3.6
+22 0 1 0 0 36 74 64 3.9
+22 0 1 0 0 36 76 64 4.2
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 -1.35
+23 0 2 0 0 36 40 64 -1.2
+23 0 2 0 0 36 41 64 -1.05
+23 0 2 0 0 36 42 64 -0.9
+23 0 2 0 0 36 43 64 -0.75
+23 0 2 0 0 36 44 64 -0.6
+23 0 2 0 0 36 45 64 -0.45
+23 0 2 0 0 36 46 64 -0.3
+23 0 2 0 0 36 47 64 -0.15
+23 0 2 0 0 36 48 64 -4.44089209850063e-16
+23 0 2 0 0 36 49 64 0.15
+23 0 2 0 0 36 50 64 0.3
+23 0 2 0 0 36 51 64 0.45
+23 0 2 0 0 36 52 64 0.6
+23 0 2 0 0 36 53 64 0.75
+23 0 2 0 0 36 54 64 0.899999999999999
+23 0 2 0 0 36 55 64 1.05
+23 0 2 0 0 36 56 64 1.2
+23 0 2 0 0 36 57 64 1.35
+23 0 2 0 0 36 58 64 1.5
+23 0 2 0 0 36 59 64 1.65
+23 0 2 0 0 36 60 64 1.8
+23 0 2 0 0 36 61 64 1.95
+23 0 2 0 0 36 62 64 2.1
+23 0 2 0 0 36 63 64 2.25
+23 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 -1.35
+24 0 2 0 0 36 40 64 -1.2
+24 0 2 0 0 36 41 64 -1.05
+24 0 2 0 0 36 42 64 -0.9
+24 0 2 0 0 36 43 64 -0.75
+24 0 2 0 0 36 44 64 -0.6
+24 0 2 0 0 36 45 64 -0.45
+24 0 2 0 0 36 46 64 -0.3
+24 0 2 0 0 36 47 64 -0.15
+24 0 2 0 0 36 48 64 -4.44089209850063e-16
+24 0 2 0 0 36 49 64 0.15
+24 0 2 0 0 36 50 64 0.3
+24 0 2 0 0 36 51 64 0.45
+24 0 2 0 0 36 52 64 0.6
+24 0 2 0 0 36 53 64 0.75
+24 0 2 0 0 36 54 64 0.899999999999999
+24 0 2 0 0 36 55 64 1.05
+24 0 2 0 0 36 56 64 1.2
+24 0 2 0 0 36 57 64 1.35
+24 0 2 0 0 36 58 64 1.5
+24 0 2 0 0 36 59 64 1.65
+24 0 2 0 0 36 60 64 1.8
+24 0 2 0 0 36 61 64 1.95
+24 0 2 0 0 36 62 64 2.1
+24 0 2 0 0 36 63 64 2.25
+24 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 -3.3
+24 0 1 0 0 36 28 64 -3
+24 0 1 0 0 36 30 64 -2.7
+24 0 1 0 0 36 32 64 -2.4
+24 0 1 0 0 36 34 64 -2.1
+24 0 1 0 0 36 36 64 -1.8
+24 0 1 0 0 36 38 64 -1.5
+24 0 1 0 0 36 40 64 -1.2
+24 0 1 0 0 36 42 64 -0.9
+24 0 1 0 0 36 44 64 -0.6
+24 0 1 0 0 36 46 64 -0.3
+24 0 1 0 0 36 48 64 -4.44089209850063e-16
+24 0 1 0 0 36 50 64 0.3
+24 0 1 0 0 36 52 64 0.6
+24 0 1 0 0 36 54 64 0.899999999999999
+24 0 1 0 0 36 56 64 1.2
+24 0 1 0 0 36 58 64 1.5
+24 0 1 0 0 36 60 64 1.8
+24 0 1 0 0 36 62 64 2.1
+24 0 1 0 0 36 64 64 2.4
+24 0 1 0 0 36 66 64 2.7
+24 0 1 0 0 36 68 64 3
+24 0 1 0 0 36 70 64 3.3
+24 0 1 0 0 36 72 64 3.6
+24 0 1 0 0 36 74 64 3.9
+24 0 1 0 0 36 76 64 4.2
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 -7.2
+24 0 0 0 0 36 4 64 -6.6
+24 0 0 0 0 36 8 64 -6
+24 0 0 0 0 36 12 64 -5.4
+24 0 0 0 0 36 16 64 -4.8
+24 0 0 0 0 36 20 64 -4.2
+24 0 0 0 0 36 24 64 -3.6
+24 0 0 0 0 36 28 64 -3
+24 0 0 0 0 36 32 64 -2.4
+24 0 0 0 0 36 36 64 -1.8
+24 0 0 0 0 36 40 64 -1.2
+24 0 0 0 0 36 44 64 -0.6
+24 0 0 0 0 36 48 64 -4.44089209850063e-16
+24 0 0 0 0 36 52 64 0.6
+24 0 0 0 0 36 56 64 1.2
+24 0 0 0 0 36 60 64 1.8
+24 0 0 0 0 36 64 64 2.4
+24 0 0 0 0 36 68 64 3
+24 0 0 0 0 36 72 64 3.6
+24 0 0 0 0 36 76 64 4.2
+24 0 0 0 0 36 80 64 4.8
+24 0 0 0 0 36 84 64 5.4
+24 0 0 0 0 36 88 64 6
+24 0 0 0 0 36 92 64 6.6
+24 0 0 0 0 36 96 64 7.2
+24 0 0 0 0 36 100 64 7.8
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.zl
new file mode 100644
index 000000000..a9be0a73d
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.zl
@@ -0,0 +1,1757 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 -4.44089209850063e-16
+0 0 2 0 0 36 48 52 -4.44089209850063e-16
+0 0 2 0 0 36 48 53 -4.44089209850063e-16
+0 0 2 0 0 36 48 54 -4.44089209850063e-16
+0 0 2 0 0 36 48 55 -4.44089209850063e-16
+0 0 2 0 0 36 48 56 -4.44089209850063e-16
+0 0 2 0 0 36 48 57 -4.44089209850063e-16
+0 0 2 0 0 36 48 58 -4.44089209850063e-16
+0 0 2 0 0 36 48 59 -4.44089209850063e-16
+0 0 2 0 0 36 48 60 -4.44089209850063e-16
+0 0 2 0 0 36 48 61 -4.44089209850063e-16
+0 0 2 0 0 36 48 62 -4.44089209850063e-16
+0 0 2 0 0 36 48 63 -4.44089209850063e-16
+0 0 2 0 0 36 48 64 -4.44089209850063e-16
+0 0 2 0 0 36 48 65 -4.44089209850063e-16
+0 0 2 0 0 36 48 66 -4.44089209850063e-16
+0 0 2 0 0 36 48 67 -4.44089209850063e-16
+0 0 2 0 0 36 48 68 -4.44089209850063e-16
+0 0 2 0 0 36 48 69 -4.44089209850063e-16
+0 0 2 0 0 36 48 70 -4.44089209850063e-16
+0 0 2 0 0 36 48 71 -4.44089209850063e-16
+0 0 2 0 0 36 48 72 -4.44089209850063e-16
+0 0 2 0 0 36 48 73 -4.44089209850063e-16
+0 0 2 0 0 36 48 74 -4.44089209850063e-16
+0 0 2 0 0 36 48 75 -4.44089209850063e-16
+0 0 2 0 0 36 48 76 -4.44089209850063e-16
+0 0 2 0 0 36 48 77 -4.44089209850063e-16
+0 0 2 0 0 36 48 78 -4.44089209850063e-16
+0 0 2 0 0 36 48 79 -4.44089209850063e-16
+0 0 2 0 0 36 48 80 -4.44089209850063e-16
+0 0 2 0 0 36 48 81 -4.44089209850063e-16
+0 0 2 0 0 36 48 82 -4.44089209850063e-16
+0 0 2 0 0 36 48 83 -4.44089209850063e-16
+0 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -4.44089209850063e-16
+0 0 1 0 0 36 48 36 -4.44089209850063e-16
+0 0 1 0 0 36 48 38 -4.44089209850063e-16
+0 0 1 0 0 36 48 40 -4.44089209850063e-16
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+0 0 1 0 0 36 48 44 -4.44089209850063e-16
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+0 0 1 0 0 36 48 50 -4.44089209850063e-16
+0 0 1 0 0 36 48 52 -4.44089209850063e-16
+0 0 1 0 0 36 48 54 -4.44089209850063e-16
+0 0 1 0 0 36 48 56 -4.44089209850063e-16
+0 0 1 0 0 36 48 58 -4.44089209850063e-16
+0 0 1 0 0 36 48 60 -4.44089209850063e-16
+0 0 1 0 0 36 48 62 -4.44089209850063e-16
+0 0 1 0 0 36 48 64 -4.44089209850063e-16
+0 0 1 0 0 36 48 66 -4.44089209850063e-16
+0 0 1 0 0 36 48 68 -4.44089209850063e-16
+0 0 1 0 0 36 48 70 -4.44089209850063e-16
+0 0 1 0 0 36 48 72 -4.44089209850063e-16
+0 0 1 0 0 36 48 74 -4.44089209850063e-16
+0 0 1 0 0 36 48 76 -4.44089209850063e-16
+0 0 1 0 0 36 48 78 -4.44089209850063e-16
+0 0 1 0 0 36 48 80 -4.44089209850063e-16
+0 0 1 0 0 36 48 82 -4.44089209850063e-16
+0 0 1 0 0 36 48 84 -4.44089209850063e-16
+0 0 1 0 0 36 48 86 -4.44089209850063e-16
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+0 0 1 0 0 36 48 90 -4.44089209850063e-16
+0 0 1 0 0 36 48 92 -4.44089209850063e-16
+0 0 1 0 0 36 48 94 -4.44089209850063e-16
+0 0 1 0 0 36 48 96 -4.44089209850063e-16
+0 0 1 0 0 36 48 98 -4.44089209850063e-16
+0 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 -4.44089209850063e-16
+0 0 0 0 0 36 48 4 -4.44089209850063e-16
+0 0 0 0 0 36 48 8 -4.44089209850063e-16
+0 0 0 0 0 36 48 12 -4.44089209850063e-16
+0 0 0 0 0 36 48 16 -4.44089209850063e-16
+0 0 0 0 0 36 48 20 -4.44089209850063e-16
+0 0 0 0 0 36 48 24 -4.44089209850063e-16
+0 0 0 0 0 36 48 28 -4.44089209850063e-16
+0 0 0 0 0 36 48 32 -4.44089209850063e-16
+0 0 0 0 0 36 48 36 -4.44089209850063e-16
+0 0 0 0 0 36 48 40 -4.44089209850063e-16
+0 0 0 0 0 36 48 44 -4.44089209850063e-16
+0 0 0 0 0 36 48 48 -4.44089209850063e-16
+0 0 0 0 0 36 48 52 -4.44089209850063e-16
+0 0 0 0 0 36 48 56 -4.44089209850063e-16
+0 0 0 0 0 36 48 60 -4.44089209850063e-16
+0 0 0 0 0 36 48 64 -4.44089209850063e-16
+0 0 0 0 0 36 48 68 -4.44089209850063e-16
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+0 0 0 0 0 36 48 76 -4.44089209850063e-16
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+0 0 0 0 0 36 48 88 -4.44089209850063e-16
+0 0 0 0 0 36 48 92 -4.44089209850063e-16
+0 0 0 0 0 36 48 96 -4.44089209850063e-16
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+0 0 0 0 0 36 48 108 -4.44089209850063e-16
+0 0 0 0 0 36 48 112 -4.44089209850063e-16
+0 0 0 0 0 36 48 116 -4.44089209850063e-16
+0 0 0 0 0 36 48 120 -4.44089209850063e-16
+0 0 0 0 0 36 48 124 -4.44089209850063e-16
+0 0 0 0 0 36 48 128 -4.44089209850063e-16
+0 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 -4.44089209850063e-16
+1 0 2 0 0 36 48 52 -4.44089209850063e-16
+1 0 2 0 0 36 48 53 -4.44089209850063e-16
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+1 0 2 0 0 36 48 64 -4.44089209850063e-16
+1 0 2 0 0 36 48 65 -4.44089209850063e-16
+1 0 2 0 0 36 48 66 -4.44089209850063e-16
+1 0 2 0 0 36 48 67 -4.44089209850063e-16
+1 0 2 0 0 36 48 68 -4.44089209850063e-16
+1 0 2 0 0 36 48 69 -4.44089209850063e-16
+1 0 2 0 0 36 48 70 -4.44089209850063e-16
+1 0 2 0 0 36 48 71 -4.44089209850063e-16
+1 0 2 0 0 36 48 72 -4.44089209850063e-16
+1 0 2 0 0 36 48 73 -4.44089209850063e-16
+1 0 2 0 0 36 48 74 -4.44089209850063e-16
+1 0 2 0 0 36 48 75 -4.44089209850063e-16
+1 0 2 0 0 36 48 76 -4.44089209850063e-16
+1 0 2 0 0 36 48 77 -4.44089209850063e-16
+1 0 2 0 0 36 48 78 -4.44089209850063e-16
+1 0 2 0 0 36 48 79 -4.44089209850063e-16
+1 0 2 0 0 36 48 80 -4.44089209850063e-16
+1 0 2 0 0 36 48 81 -4.44089209850063e-16
+1 0 2 0 0 36 48 82 -4.44089209850063e-16
+1 0 2 0 0 36 48 83 -4.44089209850063e-16
+1 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 -4.44089209850063e-16
+2 0 2 0 0 36 48 52 -4.44089209850063e-16
+2 0 2 0 0 36 48 53 -4.44089209850063e-16
+2 0 2 0 0 36 48 54 -4.44089209850063e-16
+2 0 2 0 0 36 48 55 -4.44089209850063e-16
+2 0 2 0 0 36 48 56 -4.44089209850063e-16
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+2 0 2 0 0 36 48 58 -4.44089209850063e-16
+2 0 2 0 0 36 48 59 -4.44089209850063e-16
+2 0 2 0 0 36 48 60 -4.44089209850063e-16
+2 0 2 0 0 36 48 61 -4.44089209850063e-16
+2 0 2 0 0 36 48 62 -4.44089209850063e-16
+2 0 2 0 0 36 48 63 -4.44089209850063e-16
+2 0 2 0 0 36 48 64 -4.44089209850063e-16
+2 0 2 0 0 36 48 65 -4.44089209850063e-16
+2 0 2 0 0 36 48 66 -4.44089209850063e-16
+2 0 2 0 0 36 48 67 -4.44089209850063e-16
+2 0 2 0 0 36 48 68 -4.44089209850063e-16
+2 0 2 0 0 36 48 69 -4.44089209850063e-16
+2 0 2 0 0 36 48 70 -4.44089209850063e-16
+2 0 2 0 0 36 48 71 -4.44089209850063e-16
+2 0 2 0 0 36 48 72 -4.44089209850063e-16
+2 0 2 0 0 36 48 73 -4.44089209850063e-16
+2 0 2 0 0 36 48 74 -4.44089209850063e-16
+2 0 2 0 0 36 48 75 -4.44089209850063e-16
+2 0 2 0 0 36 48 76 -4.44089209850063e-16
+2 0 2 0 0 36 48 77 -4.44089209850063e-16
+2 0 2 0 0 36 48 78 -4.44089209850063e-16
+2 0 2 0 0 36 48 79 -4.44089209850063e-16
+2 0 2 0 0 36 48 80 -4.44089209850063e-16
+2 0 2 0 0 36 48 81 -4.44089209850063e-16
+2 0 2 0 0 36 48 82 -4.44089209850063e-16
+2 0 2 0 0 36 48 83 -4.44089209850063e-16
+2 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -4.44089209850063e-16
+2 0 1 0 0 36 48 36 -4.44089209850063e-16
+2 0 1 0 0 36 48 38 -4.44089209850063e-16
+2 0 1 0 0 36 48 40 -4.44089209850063e-16
+2 0 1 0 0 36 48 42 -4.44089209850063e-16
+2 0 1 0 0 36 48 44 -4.44089209850063e-16
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+2 0 1 0 0 36 48 50 -4.44089209850063e-16
+2 0 1 0 0 36 48 52 -4.44089209850063e-16
+2 0 1 0 0 36 48 54 -4.44089209850063e-16
+2 0 1 0 0 36 48 56 -4.44089209850063e-16
+2 0 1 0 0 36 48 58 -4.44089209850063e-16
+2 0 1 0 0 36 48 60 -4.44089209850063e-16
+2 0 1 0 0 36 48 62 -4.44089209850063e-16
+2 0 1 0 0 36 48 64 -4.44089209850063e-16
+2 0 1 0 0 36 48 66 -4.44089209850063e-16
+2 0 1 0 0 36 48 68 -4.44089209850063e-16
+2 0 1 0 0 36 48 70 -4.44089209850063e-16
+2 0 1 0 0 36 48 72 -4.44089209850063e-16
+2 0 1 0 0 36 48 74 -4.44089209850063e-16
+2 0 1 0 0 36 48 76 -4.44089209850063e-16
+2 0 1 0 0 36 48 78 -4.44089209850063e-16
+2 0 1 0 0 36 48 80 -4.44089209850063e-16
+2 0 1 0 0 36 48 82 -4.44089209850063e-16
+2 0 1 0 0 36 48 84 -4.44089209850063e-16
+2 0 1 0 0 36 48 86 -4.44089209850063e-16
+2 0 1 0 0 36 48 88 -4.44089209850063e-16
+2 0 1 0 0 36 48 90 -4.44089209850063e-16
+2 0 1 0 0 36 48 92 -4.44089209850063e-16
+2 0 1 0 0 36 48 94 -4.44089209850063e-16
+2 0 1 0 0 36 48 96 -4.44089209850063e-16
+2 0 1 0 0 36 48 98 -4.44089209850063e-16
+2 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 -4.44089209850063e-16
+3 0 2 0 0 36 48 52 -4.44089209850063e-16
+3 0 2 0 0 36 48 53 -4.44089209850063e-16
+3 0 2 0 0 36 48 54 -4.44089209850063e-16
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+3 0 2 0 0 36 48 56 -4.44089209850063e-16
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+3 0 2 0 0 36 48 58 -4.44089209850063e-16
+3 0 2 0 0 36 48 59 -4.44089209850063e-16
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+3 0 2 0 0 36 48 61 -4.44089209850063e-16
+3 0 2 0 0 36 48 62 -4.44089209850063e-16
+3 0 2 0 0 36 48 63 -4.44089209850063e-16
+3 0 2 0 0 36 48 64 -4.44089209850063e-16
+3 0 2 0 0 36 48 65 -4.44089209850063e-16
+3 0 2 0 0 36 48 66 -4.44089209850063e-16
+3 0 2 0 0 36 48 67 -4.44089209850063e-16
+3 0 2 0 0 36 48 68 -4.44089209850063e-16
+3 0 2 0 0 36 48 69 -4.44089209850063e-16
+3 0 2 0 0 36 48 70 -4.44089209850063e-16
+3 0 2 0 0 36 48 71 -4.44089209850063e-16
+3 0 2 0 0 36 48 72 -4.44089209850063e-16
+3 0 2 0 0 36 48 73 -4.44089209850063e-16
+3 0 2 0 0 36 48 74 -4.44089209850063e-16
+3 0 2 0 0 36 48 75 -4.44089209850063e-16
+3 0 2 0 0 36 48 76 -4.44089209850063e-16
+3 0 2 0 0 36 48 77 -4.44089209850063e-16
+3 0 2 0 0 36 48 78 -4.44089209850063e-16
+3 0 2 0 0 36 48 79 -4.44089209850063e-16
+3 0 2 0 0 36 48 80 -4.44089209850063e-16
+3 0 2 0 0 36 48 81 -4.44089209850063e-16
+3 0 2 0 0 36 48 82 -4.44089209850063e-16
+3 0 2 0 0 36 48 83 -4.44089209850063e-16
+3 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 -4.44089209850063e-16
+4 0 2 0 0 36 48 52 -4.44089209850063e-16
+4 0 2 0 0 36 48 53 -4.44089209850063e-16
+4 0 2 0 0 36 48 54 -4.44089209850063e-16
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+4 0 2 0 0 36 48 56 -4.44089209850063e-16
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+4 0 2 0 0 36 48 58 -4.44089209850063e-16
+4 0 2 0 0 36 48 59 -4.44089209850063e-16
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+4 0 2 0 0 36 48 61 -4.44089209850063e-16
+4 0 2 0 0 36 48 62 -4.44089209850063e-16
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+4 0 2 0 0 36 48 64 -4.44089209850063e-16
+4 0 2 0 0 36 48 65 -4.44089209850063e-16
+4 0 2 0 0 36 48 66 -4.44089209850063e-16
+4 0 2 0 0 36 48 67 -4.44089209850063e-16
+4 0 2 0 0 36 48 68 -4.44089209850063e-16
+4 0 2 0 0 36 48 69 -4.44089209850063e-16
+4 0 2 0 0 36 48 70 -4.44089209850063e-16
+4 0 2 0 0 36 48 71 -4.44089209850063e-16
+4 0 2 0 0 36 48 72 -4.44089209850063e-16
+4 0 2 0 0 36 48 73 -4.44089209850063e-16
+4 0 2 0 0 36 48 74 -4.44089209850063e-16
+4 0 2 0 0 36 48 75 -4.44089209850063e-16
+4 0 2 0 0 36 48 76 -4.44089209850063e-16
+4 0 2 0 0 36 48 77 -4.44089209850063e-16
+4 0 2 0 0 36 48 78 -4.44089209850063e-16
+4 0 2 0 0 36 48 79 -4.44089209850063e-16
+4 0 2 0 0 36 48 80 -4.44089209850063e-16
+4 0 2 0 0 36 48 81 -4.44089209850063e-16
+4 0 2 0 0 36 48 82 -4.44089209850063e-16
+4 0 2 0 0 36 48 83 -4.44089209850063e-16
+4 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -4.44089209850063e-16
+4 0 1 0 0 36 48 36 -4.44089209850063e-16
+4 0 1 0 0 36 48 38 -4.44089209850063e-16
+4 0 1 0 0 36 48 40 -4.44089209850063e-16
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+4 0 1 0 0 36 48 48 -4.44089209850063e-16
+4 0 1 0 0 36 48 50 -4.44089209850063e-16
+4 0 1 0 0 36 48 52 -4.44089209850063e-16
+4 0 1 0 0 36 48 54 -4.44089209850063e-16
+4 0 1 0 0 36 48 56 -4.44089209850063e-16
+4 0 1 0 0 36 48 58 -4.44089209850063e-16
+4 0 1 0 0 36 48 60 -4.44089209850063e-16
+4 0 1 0 0 36 48 62 -4.44089209850063e-16
+4 0 1 0 0 36 48 64 -4.44089209850063e-16
+4 0 1 0 0 36 48 66 -4.44089209850063e-16
+4 0 1 0 0 36 48 68 -4.44089209850063e-16
+4 0 1 0 0 36 48 70 -4.44089209850063e-16
+4 0 1 0 0 36 48 72 -4.44089209850063e-16
+4 0 1 0 0 36 48 74 -4.44089209850063e-16
+4 0 1 0 0 36 48 76 -4.44089209850063e-16
+4 0 1 0 0 36 48 78 -4.44089209850063e-16
+4 0 1 0 0 36 48 80 -4.44089209850063e-16
+4 0 1 0 0 36 48 82 -4.44089209850063e-16
+4 0 1 0 0 36 48 84 -4.44089209850063e-16
+4 0 1 0 0 36 48 86 -4.44089209850063e-16
+4 0 1 0 0 36 48 88 -4.44089209850063e-16
+4 0 1 0 0 36 48 90 -4.44089209850063e-16
+4 0 1 0 0 36 48 92 -4.44089209850063e-16
+4 0 1 0 0 36 48 94 -4.44089209850063e-16
+4 0 1 0 0 36 48 96 -4.44089209850063e-16
+4 0 1 0 0 36 48 98 -4.44089209850063e-16
+4 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 -4.44089209850063e-16
+4 0 0 0 0 36 48 4 -4.44089209850063e-16
+4 0 0 0 0 36 48 8 -4.44089209850063e-16
+4 0 0 0 0 36 48 12 -4.44089209850063e-16
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+4 0 0 0 0 36 48 40 -4.44089209850063e-16
+4 0 0 0 0 36 48 44 -4.44089209850063e-16
+4 0 0 0 0 36 48 48 -4.44089209850063e-16
+4 0 0 0 0 36 48 52 -4.44089209850063e-16
+4 0 0 0 0 36 48 56 -4.44089209850063e-16
+4 0 0 0 0 36 48 60 -4.44089209850063e-16
+4 0 0 0 0 36 48 64 -4.44089209850063e-16
+4 0 0 0 0 36 48 68 -4.44089209850063e-16
+4 0 0 0 0 36 48 72 -4.44089209850063e-16
+4 0 0 0 0 36 48 76 -4.44089209850063e-16
+4 0 0 0 0 36 48 80 -4.44089209850063e-16
+4 0 0 0 0 36 48 84 -4.44089209850063e-16
+4 0 0 0 0 36 48 88 -4.44089209850063e-16
+4 0 0 0 0 36 48 92 -4.44089209850063e-16
+4 0 0 0 0 36 48 96 -4.44089209850063e-16
+4 0 0 0 0 36 48 100 -4.44089209850063e-16
+4 0 0 0 0 36 48 104 -4.44089209850063e-16
+4 0 0 0 0 36 48 108 -4.44089209850063e-16
+4 0 0 0 0 36 48 112 -4.44089209850063e-16
+4 0 0 0 0 36 48 116 -4.44089209850063e-16
+4 0 0 0 0 36 48 120 -4.44089209850063e-16
+4 0 0 0 0 36 48 124 -4.44089209850063e-16
+4 0 0 0 0 36 48 128 -4.44089209850063e-16
+4 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 -4.44089209850063e-16
+5 0 2 0 0 36 48 52 -4.44089209850063e-16
+5 0 2 0 0 36 48 53 -4.44089209850063e-16
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+5 0 2 0 0 36 48 56 -4.44089209850063e-16
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+5 0 2 0 0 36 48 61 -4.44089209850063e-16
+5 0 2 0 0 36 48 62 -4.44089209850063e-16
+5 0 2 0 0 36 48 63 -4.44089209850063e-16
+5 0 2 0 0 36 48 64 -4.44089209850063e-16
+5 0 2 0 0 36 48 65 -4.44089209850063e-16
+5 0 2 0 0 36 48 66 -4.44089209850063e-16
+5 0 2 0 0 36 48 67 -4.44089209850063e-16
+5 0 2 0 0 36 48 68 -4.44089209850063e-16
+5 0 2 0 0 36 48 69 -4.44089209850063e-16
+5 0 2 0 0 36 48 70 -4.44089209850063e-16
+5 0 2 0 0 36 48 71 -4.44089209850063e-16
+5 0 2 0 0 36 48 72 -4.44089209850063e-16
+5 0 2 0 0 36 48 73 -4.44089209850063e-16
+5 0 2 0 0 36 48 74 -4.44089209850063e-16
+5 0 2 0 0 36 48 75 -4.44089209850063e-16
+5 0 2 0 0 36 48 76 -4.44089209850063e-16
+5 0 2 0 0 36 48 77 -4.44089209850063e-16
+5 0 2 0 0 36 48 78 -4.44089209850063e-16
+5 0 2 0 0 36 48 79 -4.44089209850063e-16
+5 0 2 0 0 36 48 80 -4.44089209850063e-16
+5 0 2 0 0 36 48 81 -4.44089209850063e-16
+5 0 2 0 0 36 48 82 -4.44089209850063e-16
+5 0 2 0 0 36 48 83 -4.44089209850063e-16
+5 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 -4.44089209850063e-16
+6 0 2 0 0 36 48 52 -4.44089209850063e-16
+6 0 2 0 0 36 48 53 -4.44089209850063e-16
+6 0 2 0 0 36 48 54 -4.44089209850063e-16
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+6 0 2 0 0 36 48 56 -4.44089209850063e-16
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+6 0 2 0 0 36 48 64 -4.44089209850063e-16
+6 0 2 0 0 36 48 65 -4.44089209850063e-16
+6 0 2 0 0 36 48 66 -4.44089209850063e-16
+6 0 2 0 0 36 48 67 -4.44089209850063e-16
+6 0 2 0 0 36 48 68 -4.44089209850063e-16
+6 0 2 0 0 36 48 69 -4.44089209850063e-16
+6 0 2 0 0 36 48 70 -4.44089209850063e-16
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+6 0 2 0 0 36 48 72 -4.44089209850063e-16
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+6 0 2 0 0 36 48 74 -4.44089209850063e-16
+6 0 2 0 0 36 48 75 -4.44089209850063e-16
+6 0 2 0 0 36 48 76 -4.44089209850063e-16
+6 0 2 0 0 36 48 77 -4.44089209850063e-16
+6 0 2 0 0 36 48 78 -4.44089209850063e-16
+6 0 2 0 0 36 48 79 -4.44089209850063e-16
+6 0 2 0 0 36 48 80 -4.44089209850063e-16
+6 0 2 0 0 36 48 81 -4.44089209850063e-16
+6 0 2 0 0 36 48 82 -4.44089209850063e-16
+6 0 2 0 0 36 48 83 -4.44089209850063e-16
+6 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -4.44089209850063e-16
+6 0 1 0 0 36 48 36 -4.44089209850063e-16
+6 0 1 0 0 36 48 38 -4.44089209850063e-16
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+6 0 1 0 0 36 48 60 -4.44089209850063e-16
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+6 0 1 0 0 36 48 78 -4.44089209850063e-16
+6 0 1 0 0 36 48 80 -4.44089209850063e-16
+6 0 1 0 0 36 48 82 -4.44089209850063e-16
+6 0 1 0 0 36 48 84 -4.44089209850063e-16
+6 0 1 0 0 36 48 86 -4.44089209850063e-16
+6 0 1 0 0 36 48 88 -4.44089209850063e-16
+6 0 1 0 0 36 48 90 -4.44089209850063e-16
+6 0 1 0 0 36 48 92 -4.44089209850063e-16
+6 0 1 0 0 36 48 94 -4.44089209850063e-16
+6 0 1 0 0 36 48 96 -4.44089209850063e-16
+6 0 1 0 0 36 48 98 -4.44089209850063e-16
+6 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 -4.44089209850063e-16
+7 0 2 0 0 36 48 52 -4.44089209850063e-16
+7 0 2 0 0 36 48 53 -4.44089209850063e-16
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+7 0 2 0 0 36 48 65 -4.44089209850063e-16
+7 0 2 0 0 36 48 66 -4.44089209850063e-16
+7 0 2 0 0 36 48 67 -4.44089209850063e-16
+7 0 2 0 0 36 48 68 -4.44089209850063e-16
+7 0 2 0 0 36 48 69 -4.44089209850063e-16
+7 0 2 0 0 36 48 70 -4.44089209850063e-16
+7 0 2 0 0 36 48 71 -4.44089209850063e-16
+7 0 2 0 0 36 48 72 -4.44089209850063e-16
+7 0 2 0 0 36 48 73 -4.44089209850063e-16
+7 0 2 0 0 36 48 74 -4.44089209850063e-16
+7 0 2 0 0 36 48 75 -4.44089209850063e-16
+7 0 2 0 0 36 48 76 -4.44089209850063e-16
+7 0 2 0 0 36 48 77 -4.44089209850063e-16
+7 0 2 0 0 36 48 78 -4.44089209850063e-16
+7 0 2 0 0 36 48 79 -4.44089209850063e-16
+7 0 2 0 0 36 48 80 -4.44089209850063e-16
+7 0 2 0 0 36 48 81 -4.44089209850063e-16
+7 0 2 0 0 36 48 82 -4.44089209850063e-16
+7 0 2 0 0 36 48 83 -4.44089209850063e-16
+7 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 -4.44089209850063e-16
+8 0 2 0 0 36 48 52 -4.44089209850063e-16
+8 0 2 0 0 36 48 53 -4.44089209850063e-16
+8 0 2 0 0 36 48 54 -4.44089209850063e-16
+8 0 2 0 0 36 48 55 -4.44089209850063e-16
+8 0 2 0 0 36 48 56 -4.44089209850063e-16
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+8 0 2 0 0 36 48 61 -4.44089209850063e-16
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+8 0 2 0 0 36 48 64 -4.44089209850063e-16
+8 0 2 0 0 36 48 65 -4.44089209850063e-16
+8 0 2 0 0 36 48 66 -4.44089209850063e-16
+8 0 2 0 0 36 48 67 -4.44089209850063e-16
+8 0 2 0 0 36 48 68 -4.44089209850063e-16
+8 0 2 0 0 36 48 69 -4.44089209850063e-16
+8 0 2 0 0 36 48 70 -4.44089209850063e-16
+8 0 2 0 0 36 48 71 -4.44089209850063e-16
+8 0 2 0 0 36 48 72 -4.44089209850063e-16
+8 0 2 0 0 36 48 73 -4.44089209850063e-16
+8 0 2 0 0 36 48 74 -4.44089209850063e-16
+8 0 2 0 0 36 48 75 -4.44089209850063e-16
+8 0 2 0 0 36 48 76 -4.44089209850063e-16
+8 0 2 0 0 36 48 77 -4.44089209850063e-16
+8 0 2 0 0 36 48 78 -4.44089209850063e-16
+8 0 2 0 0 36 48 79 -4.44089209850063e-16
+8 0 2 0 0 36 48 80 -4.44089209850063e-16
+8 0 2 0 0 36 48 81 -4.44089209850063e-16
+8 0 2 0 0 36 48 82 -4.44089209850063e-16
+8 0 2 0 0 36 48 83 -4.44089209850063e-16
+8 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -4.44089209850063e-16
+8 0 1 0 0 36 48 36 -4.44089209850063e-16
+8 0 1 0 0 36 48 38 -4.44089209850063e-16
+8 0 1 0 0 36 48 40 -4.44089209850063e-16
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+8 0 1 0 0 36 48 50 -4.44089209850063e-16
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+8 0 1 0 0 36 48 54 -4.44089209850063e-16
+8 0 1 0 0 36 48 56 -4.44089209850063e-16
+8 0 1 0 0 36 48 58 -4.44089209850063e-16
+8 0 1 0 0 36 48 60 -4.44089209850063e-16
+8 0 1 0 0 36 48 62 -4.44089209850063e-16
+8 0 1 0 0 36 48 64 -4.44089209850063e-16
+8 0 1 0 0 36 48 66 -4.44089209850063e-16
+8 0 1 0 0 36 48 68 -4.44089209850063e-16
+8 0 1 0 0 36 48 70 -4.44089209850063e-16
+8 0 1 0 0 36 48 72 -4.44089209850063e-16
+8 0 1 0 0 36 48 74 -4.44089209850063e-16
+8 0 1 0 0 36 48 76 -4.44089209850063e-16
+8 0 1 0 0 36 48 78 -4.44089209850063e-16
+8 0 1 0 0 36 48 80 -4.44089209850063e-16
+8 0 1 0 0 36 48 82 -4.44089209850063e-16
+8 0 1 0 0 36 48 84 -4.44089209850063e-16
+8 0 1 0 0 36 48 86 -4.44089209850063e-16
+8 0 1 0 0 36 48 88 -4.44089209850063e-16
+8 0 1 0 0 36 48 90 -4.44089209850063e-16
+8 0 1 0 0 36 48 92 -4.44089209850063e-16
+8 0 1 0 0 36 48 94 -4.44089209850063e-16
+8 0 1 0 0 36 48 96 -4.44089209850063e-16
+8 0 1 0 0 36 48 98 -4.44089209850063e-16
+8 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 -4.44089209850063e-16
+8 0 0 0 0 36 48 4 -4.44089209850063e-16
+8 0 0 0 0 36 48 8 -4.44089209850063e-16
+8 0 0 0 0 36 48 12 -4.44089209850063e-16
+8 0 0 0 0 36 48 16 -4.44089209850063e-16
+8 0 0 0 0 36 48 20 -4.44089209850063e-16
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+8 0 0 0 0 36 48 28 -4.44089209850063e-16
+8 0 0 0 0 36 48 32 -4.44089209850063e-16
+8 0 0 0 0 36 48 36 -4.44089209850063e-16
+8 0 0 0 0 36 48 40 -4.44089209850063e-16
+8 0 0 0 0 36 48 44 -4.44089209850063e-16
+8 0 0 0 0 36 48 48 -4.44089209850063e-16
+8 0 0 0 0 36 48 52 -4.44089209850063e-16
+8 0 0 0 0 36 48 56 -4.44089209850063e-16
+8 0 0 0 0 36 48 60 -4.44089209850063e-16
+8 0 0 0 0 36 48 64 -4.44089209850063e-16
+8 0 0 0 0 36 48 68 -4.44089209850063e-16
+8 0 0 0 0 36 48 72 -4.44089209850063e-16
+8 0 0 0 0 36 48 76 -4.44089209850063e-16
+8 0 0 0 0 36 48 80 -4.44089209850063e-16
+8 0 0 0 0 36 48 84 -4.44089209850063e-16
+8 0 0 0 0 36 48 88 -4.44089209850063e-16
+8 0 0 0 0 36 48 92 -4.44089209850063e-16
+8 0 0 0 0 36 48 96 -4.44089209850063e-16
+8 0 0 0 0 36 48 100 -4.44089209850063e-16
+8 0 0 0 0 36 48 104 -4.44089209850063e-16
+8 0 0 0 0 36 48 108 -4.44089209850063e-16
+8 0 0 0 0 36 48 112 -4.44089209850063e-16
+8 0 0 0 0 36 48 116 -4.44089209850063e-16
+8 0 0 0 0 36 48 120 -4.44089209850063e-16
+8 0 0 0 0 36 48 124 -4.44089209850063e-16
+8 0 0 0 0 36 48 128 -4.44089209850063e-16
+8 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 -4.44089209850063e-16
+9 0 2 0 0 36 48 52 -4.44089209850063e-16
+9 0 2 0 0 36 48 53 -4.44089209850063e-16
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+9 0 2 0 0 36 48 56 -4.44089209850063e-16
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+9 0 2 0 0 36 48 58 -4.44089209850063e-16
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+9 0 2 0 0 36 48 61 -4.44089209850063e-16
+9 0 2 0 0 36 48 62 -4.44089209850063e-16
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+9 0 2 0 0 36 48 64 -4.44089209850063e-16
+9 0 2 0 0 36 48 65 -4.44089209850063e-16
+9 0 2 0 0 36 48 66 -4.44089209850063e-16
+9 0 2 0 0 36 48 67 -4.44089209850063e-16
+9 0 2 0 0 36 48 68 -4.44089209850063e-16
+9 0 2 0 0 36 48 69 -4.44089209850063e-16
+9 0 2 0 0 36 48 70 -4.44089209850063e-16
+9 0 2 0 0 36 48 71 -4.44089209850063e-16
+9 0 2 0 0 36 48 72 -4.44089209850063e-16
+9 0 2 0 0 36 48 73 -4.44089209850063e-16
+9 0 2 0 0 36 48 74 -4.44089209850063e-16
+9 0 2 0 0 36 48 75 -4.44089209850063e-16
+9 0 2 0 0 36 48 76 -4.44089209850063e-16
+9 0 2 0 0 36 48 77 -4.44089209850063e-16
+9 0 2 0 0 36 48 78 -4.44089209850063e-16
+9 0 2 0 0 36 48 79 -4.44089209850063e-16
+9 0 2 0 0 36 48 80 -4.44089209850063e-16
+9 0 2 0 0 36 48 81 -4.44089209850063e-16
+9 0 2 0 0 36 48 82 -4.44089209850063e-16
+9 0 2 0 0 36 48 83 -4.44089209850063e-16
+9 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 -4.44089209850063e-16
+10 0 2 0 0 36 48 52 -4.44089209850063e-16
+10 0 2 0 0 36 48 53 -4.44089209850063e-16
+10 0 2 0 0 36 48 54 -4.44089209850063e-16
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+10 0 2 0 0 36 48 56 -4.44089209850063e-16
+10 0 2 0 0 36 48 57 -4.44089209850063e-16
+10 0 2 0 0 36 48 58 -4.44089209850063e-16
+10 0 2 0 0 36 48 59 -4.44089209850063e-16
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+10 0 2 0 0 36 48 61 -4.44089209850063e-16
+10 0 2 0 0 36 48 62 -4.44089209850063e-16
+10 0 2 0 0 36 48 63 -4.44089209850063e-16
+10 0 2 0 0 36 48 64 -4.44089209850063e-16
+10 0 2 0 0 36 48 65 -4.44089209850063e-16
+10 0 2 0 0 36 48 66 -4.44089209850063e-16
+10 0 2 0 0 36 48 67 -4.44089209850063e-16
+10 0 2 0 0 36 48 68 -4.44089209850063e-16
+10 0 2 0 0 36 48 69 -4.44089209850063e-16
+10 0 2 0 0 36 48 70 -4.44089209850063e-16
+10 0 2 0 0 36 48 71 -4.44089209850063e-16
+10 0 2 0 0 36 48 72 -4.44089209850063e-16
+10 0 2 0 0 36 48 73 -4.44089209850063e-16
+10 0 2 0 0 36 48 74 -4.44089209850063e-16
+10 0 2 0 0 36 48 75 -4.44089209850063e-16
+10 0 2 0 0 36 48 76 -4.44089209850063e-16
+10 0 2 0 0 36 48 77 -4.44089209850063e-16
+10 0 2 0 0 36 48 78 -4.44089209850063e-16
+10 0 2 0 0 36 48 79 -4.44089209850063e-16
+10 0 2 0 0 36 48 80 -4.44089209850063e-16
+10 0 2 0 0 36 48 81 -4.44089209850063e-16
+10 0 2 0 0 36 48 82 -4.44089209850063e-16
+10 0 2 0 0 36 48 83 -4.44089209850063e-16
+10 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -4.44089209850063e-16
+10 0 1 0 0 36 48 36 -4.44089209850063e-16
+10 0 1 0 0 36 48 38 -4.44089209850063e-16
+10 0 1 0 0 36 48 40 -4.44089209850063e-16
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+10 0 1 0 0 36 48 50 -4.44089209850063e-16
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+10 0 1 0 0 36 48 54 -4.44089209850063e-16
+10 0 1 0 0 36 48 56 -4.44089209850063e-16
+10 0 1 0 0 36 48 58 -4.44089209850063e-16
+10 0 1 0 0 36 48 60 -4.44089209850063e-16
+10 0 1 0 0 36 48 62 -4.44089209850063e-16
+10 0 1 0 0 36 48 64 -4.44089209850063e-16
+10 0 1 0 0 36 48 66 -4.44089209850063e-16
+10 0 1 0 0 36 48 68 -4.44089209850063e-16
+10 0 1 0 0 36 48 70 -4.44089209850063e-16
+10 0 1 0 0 36 48 72 -4.44089209850063e-16
+10 0 1 0 0 36 48 74 -4.44089209850063e-16
+10 0 1 0 0 36 48 76 -4.44089209850063e-16
+10 0 1 0 0 36 48 78 -4.44089209850063e-16
+10 0 1 0 0 36 48 80 -4.44089209850063e-16
+10 0 1 0 0 36 48 82 -4.44089209850063e-16
+10 0 1 0 0 36 48 84 -4.44089209850063e-16
+10 0 1 0 0 36 48 86 -4.44089209850063e-16
+10 0 1 0 0 36 48 88 -4.44089209850063e-16
+10 0 1 0 0 36 48 90 -4.44089209850063e-16
+10 0 1 0 0 36 48 92 -4.44089209850063e-16
+10 0 1 0 0 36 48 94 -4.44089209850063e-16
+10 0 1 0 0 36 48 96 -4.44089209850063e-16
+10 0 1 0 0 36 48 98 -4.44089209850063e-16
+10 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 -4.44089209850063e-16
+11 0 2 0 0 36 48 52 -4.44089209850063e-16
+11 0 2 0 0 36 48 53 -4.44089209850063e-16
+11 0 2 0 0 36 48 54 -4.44089209850063e-16
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+11 0 2 0 0 36 48 56 -4.44089209850063e-16
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+11 0 2 0 0 36 48 61 -4.44089209850063e-16
+11 0 2 0 0 36 48 62 -4.44089209850063e-16
+11 0 2 0 0 36 48 63 -4.44089209850063e-16
+11 0 2 0 0 36 48 64 -4.44089209850063e-16
+11 0 2 0 0 36 48 65 -4.44089209850063e-16
+11 0 2 0 0 36 48 66 -4.44089209850063e-16
+11 0 2 0 0 36 48 67 -4.44089209850063e-16
+11 0 2 0 0 36 48 68 -4.44089209850063e-16
+11 0 2 0 0 36 48 69 -4.44089209850063e-16
+11 0 2 0 0 36 48 70 -4.44089209850063e-16
+11 0 2 0 0 36 48 71 -4.44089209850063e-16
+11 0 2 0 0 36 48 72 -4.44089209850063e-16
+11 0 2 0 0 36 48 73 -4.44089209850063e-16
+11 0 2 0 0 36 48 74 -4.44089209850063e-16
+11 0 2 0 0 36 48 75 -4.44089209850063e-16
+11 0 2 0 0 36 48 76 -4.44089209850063e-16
+11 0 2 0 0 36 48 77 -4.44089209850063e-16
+11 0 2 0 0 36 48 78 -4.44089209850063e-16
+11 0 2 0 0 36 48 79 -4.44089209850063e-16
+11 0 2 0 0 36 48 80 -4.44089209850063e-16
+11 0 2 0 0 36 48 81 -4.44089209850063e-16
+11 0 2 0 0 36 48 82 -4.44089209850063e-16
+11 0 2 0 0 36 48 83 -4.44089209850063e-16
+11 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 -4.44089209850063e-16
+12 0 2 0 0 36 48 52 -4.44089209850063e-16
+12 0 2 0 0 36 48 53 -4.44089209850063e-16
+12 0 2 0 0 36 48 54 -4.44089209850063e-16
+12 0 2 0 0 36 48 55 -4.44089209850063e-16
+12 0 2 0 0 36 48 56 -4.44089209850063e-16
+12 0 2 0 0 36 48 57 -4.44089209850063e-16
+12 0 2 0 0 36 48 58 -4.44089209850063e-16
+12 0 2 0 0 36 48 59 -4.44089209850063e-16
+12 0 2 0 0 36 48 60 -4.44089209850063e-16
+12 0 2 0 0 36 48 61 -4.44089209850063e-16
+12 0 2 0 0 36 48 62 -4.44089209850063e-16
+12 0 2 0 0 36 48 63 -4.44089209850063e-16
+12 0 2 0 0 36 48 64 -4.44089209850063e-16
+12 0 2 0 0 36 48 65 -4.44089209850063e-16
+12 0 2 0 0 36 48 66 -4.44089209850063e-16
+12 0 2 0 0 36 48 67 -4.44089209850063e-16
+12 0 2 0 0 36 48 68 -4.44089209850063e-16
+12 0 2 0 0 36 48 69 -4.44089209850063e-16
+12 0 2 0 0 36 48 70 -4.44089209850063e-16
+12 0 2 0 0 36 48 71 -4.44089209850063e-16
+12 0 2 0 0 36 48 72 -4.44089209850063e-16
+12 0 2 0 0 36 48 73 -4.44089209850063e-16
+12 0 2 0 0 36 48 74 -4.44089209850063e-16
+12 0 2 0 0 36 48 75 -4.44089209850063e-16
+12 0 2 0 0 36 48 76 -4.44089209850063e-16
+12 0 2 0 0 36 48 77 -4.44089209850063e-16
+12 0 2 0 0 36 48 78 -4.44089209850063e-16
+12 0 2 0 0 36 48 79 -4.44089209850063e-16
+12 0 2 0 0 36 48 80 -4.44089209850063e-16
+12 0 2 0 0 36 48 81 -4.44089209850063e-16
+12 0 2 0 0 36 48 82 -4.44089209850063e-16
+12 0 2 0 0 36 48 83 -4.44089209850063e-16
+12 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -4.44089209850063e-16
+12 0 1 0 0 36 48 36 -4.44089209850063e-16
+12 0 1 0 0 36 48 38 -4.44089209850063e-16
+12 0 1 0 0 36 48 40 -4.44089209850063e-16
+12 0 1 0 0 36 48 42 -4.44089209850063e-16
+12 0 1 0 0 36 48 44 -4.44089209850063e-16
+12 0 1 0 0 36 48 46 -4.44089209850063e-16
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+12 0 1 0 0 36 48 50 -4.44089209850063e-16
+12 0 1 0 0 36 48 52 -4.44089209850063e-16
+12 0 1 0 0 36 48 54 -4.44089209850063e-16
+12 0 1 0 0 36 48 56 -4.44089209850063e-16
+12 0 1 0 0 36 48 58 -4.44089209850063e-16
+12 0 1 0 0 36 48 60 -4.44089209850063e-16
+12 0 1 0 0 36 48 62 -4.44089209850063e-16
+12 0 1 0 0 36 48 64 -4.44089209850063e-16
+12 0 1 0 0 36 48 66 -4.44089209850063e-16
+12 0 1 0 0 36 48 68 -4.44089209850063e-16
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+12 0 1 0 0 36 48 84 -4.44089209850063e-16
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+12 0 1 0 0 36 48 90 -4.44089209850063e-16
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+12 0 1 0 0 36 48 96 -4.44089209850063e-16
+12 0 1 0 0 36 48 98 -4.44089209850063e-16
+12 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 -4.44089209850063e-16
+12 0 0 0 0 36 48 4 -4.44089209850063e-16
+12 0 0 0 0 36 48 8 -4.44089209850063e-16
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+12 0 0 0 0 36 48 100 -4.44089209850063e-16
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+12 0 0 0 0 36 48 120 -4.44089209850063e-16
+12 0 0 0 0 36 48 124 -4.44089209850063e-16
+12 0 0 0 0 36 48 128 -4.44089209850063e-16
+12 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 -4.44089209850063e-16
+13 0 2 0 0 36 48 52 -4.44089209850063e-16
+13 0 2 0 0 36 48 53 -4.44089209850063e-16
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+13 0 2 0 0 36 48 76 -4.44089209850063e-16
+13 0 2 0 0 36 48 77 -4.44089209850063e-16
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+13 0 2 0 0 36 48 79 -4.44089209850063e-16
+13 0 2 0 0 36 48 80 -4.44089209850063e-16
+13 0 2 0 0 36 48 81 -4.44089209850063e-16
+13 0 2 0 0 36 48 82 -4.44089209850063e-16
+13 0 2 0 0 36 48 83 -4.44089209850063e-16
+13 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 -4.44089209850063e-16
+14 0 2 0 0 36 48 52 -4.44089209850063e-16
+14 0 2 0 0 36 48 53 -4.44089209850063e-16
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+14 0 2 0 0 36 48 69 -4.44089209850063e-16
+14 0 2 0 0 36 48 70 -4.44089209850063e-16
+14 0 2 0 0 36 48 71 -4.44089209850063e-16
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+14 0 2 0 0 36 48 76 -4.44089209850063e-16
+14 0 2 0 0 36 48 77 -4.44089209850063e-16
+14 0 2 0 0 36 48 78 -4.44089209850063e-16
+14 0 2 0 0 36 48 79 -4.44089209850063e-16
+14 0 2 0 0 36 48 80 -4.44089209850063e-16
+14 0 2 0 0 36 48 81 -4.44089209850063e-16
+14 0 2 0 0 36 48 82 -4.44089209850063e-16
+14 0 2 0 0 36 48 83 -4.44089209850063e-16
+14 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -4.44089209850063e-16
+14 0 1 0 0 36 48 36 -4.44089209850063e-16
+14 0 1 0 0 36 48 38 -4.44089209850063e-16
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+14 0 1 0 0 36 48 86 -4.44089209850063e-16
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+14 0 1 0 0 36 48 90 -4.44089209850063e-16
+14 0 1 0 0 36 48 92 -4.44089209850063e-16
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+14 0 1 0 0 36 48 98 -4.44089209850063e-16
+14 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 -4.44089209850063e-16
+15 0 2 0 0 36 48 52 -4.44089209850063e-16
+15 0 2 0 0 36 48 53 -4.44089209850063e-16
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+15 0 2 0 0 36 48 83 -4.44089209850063e-16
+15 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 -4.44089209850063e-16
+16 0 2 0 0 36 48 52 -4.44089209850063e-16
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+16 0 2 0 0 36 48 80 -4.44089209850063e-16
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+16 0 2 0 0 36 48 83 -4.44089209850063e-16
+16 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -4.44089209850063e-16
+16 0 1 0 0 36 48 36 -4.44089209850063e-16
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+16 0 1 0 0 36 48 98 -4.44089209850063e-16
+16 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 -4.44089209850063e-16
+16 0 0 0 0 36 48 4 -4.44089209850063e-16
+16 0 0 0 0 36 48 8 -4.44089209850063e-16
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+16 0 0 0 0 36 48 128 -4.44089209850063e-16
+16 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 -4.44089209850063e-16
+17 0 2 0 0 36 48 52 -4.44089209850063e-16
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+17 0 2 0 0 36 48 83 -4.44089209850063e-16
+17 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 -4.44089209850063e-16
+18 0 2 0 0 36 48 52 -4.44089209850063e-16
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+18 0 2 0 0 36 48 83 -4.44089209850063e-16
+18 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -4.44089209850063e-16
+18 0 1 0 0 36 48 36 -4.44089209850063e-16
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+18 0 1 0 0 36 48 98 -4.44089209850063e-16
+18 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 -4.44089209850063e-16
+19 0 2 0 0 36 48 52 -4.44089209850063e-16
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+19 0 2 0 0 36 48 83 -4.44089209850063e-16
+19 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 -4.44089209850063e-16
+20 0 2 0 0 36 48 52 -4.44089209850063e-16
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+20 0 2 0 0 36 48 83 -4.44089209850063e-16
+20 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 -4.44089209850063e-16
+20 0 1 0 0 36 48 36 -4.44089209850063e-16
+20 0 1 0 0 36 48 38 -4.44089209850063e-16
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+20 0 1 0 0 36 48 98 -4.44089209850063e-16
+20 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 -4.44089209850063e-16
+20 0 0 0 0 36 48 4 -4.44089209850063e-16
+20 0 0 0 0 36 48 8 -4.44089209850063e-16
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+20 0 0 0 0 36 48 128 -4.44089209850063e-16
+20 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 -4.44089209850063e-16
+21 0 2 0 0 36 48 52 -4.44089209850063e-16
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+21 0 2 0 0 36 48 83 -4.44089209850063e-16
+21 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 -4.44089209850063e-16
+22 0 2 0 0 36 48 52 -4.44089209850063e-16
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+22 0 2 0 0 36 48 80 -4.44089209850063e-16
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+22 0 2 0 0 36 48 83 -4.44089209850063e-16
+22 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 -4.44089209850063e-16
+22 0 1 0 0 36 48 36 -4.44089209850063e-16
+22 0 1 0 0 36 48 38 -4.44089209850063e-16
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+22 0 1 0 0 36 48 98 -4.44089209850063e-16
+22 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 -4.44089209850063e-16
+23 0 2 0 0 36 48 52 -4.44089209850063e-16
+23 0 2 0 0 36 48 53 -4.44089209850063e-16
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+23 0 2 0 0 36 48 69 -4.44089209850063e-16
+23 0 2 0 0 36 48 70 -4.44089209850063e-16
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+23 0 2 0 0 36 48 75 -4.44089209850063e-16
+23 0 2 0 0 36 48 76 -4.44089209850063e-16
+23 0 2 0 0 36 48 77 -4.44089209850063e-16
+23 0 2 0 0 36 48 78 -4.44089209850063e-16
+23 0 2 0 0 36 48 79 -4.44089209850063e-16
+23 0 2 0 0 36 48 80 -4.44089209850063e-16
+23 0 2 0 0 36 48 81 -4.44089209850063e-16
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+23 0 2 0 0 36 48 83 -4.44089209850063e-16
+23 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 -4.44089209850063e-16
+24 0 2 0 0 36 48 52 -4.44089209850063e-16
+24 0 2 0 0 36 48 53 -4.44089209850063e-16
+24 0 2 0 0 36 48 54 -4.44089209850063e-16
+24 0 2 0 0 36 48 55 -4.44089209850063e-16
+24 0 2 0 0 36 48 56 -4.44089209850063e-16
+24 0 2 0 0 36 48 57 -4.44089209850063e-16
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+24 0 2 0 0 36 48 59 -4.44089209850063e-16
+24 0 2 0 0 36 48 60 -4.44089209850063e-16
+24 0 2 0 0 36 48 61 -4.44089209850063e-16
+24 0 2 0 0 36 48 62 -4.44089209850063e-16
+24 0 2 0 0 36 48 63 -4.44089209850063e-16
+24 0 2 0 0 36 48 64 -4.44089209850063e-16
+24 0 2 0 0 36 48 65 -4.44089209850063e-16
+24 0 2 0 0 36 48 66 -4.44089209850063e-16
+24 0 2 0 0 36 48 67 -4.44089209850063e-16
+24 0 2 0 0 36 48 68 -4.44089209850063e-16
+24 0 2 0 0 36 48 69 -4.44089209850063e-16
+24 0 2 0 0 36 48 70 -4.44089209850063e-16
+24 0 2 0 0 36 48 71 -4.44089209850063e-16
+24 0 2 0 0 36 48 72 -4.44089209850063e-16
+24 0 2 0 0 36 48 73 -4.44089209850063e-16
+24 0 2 0 0 36 48 74 -4.44089209850063e-16
+24 0 2 0 0 36 48 75 -4.44089209850063e-16
+24 0 2 0 0 36 48 76 -4.44089209850063e-16
+24 0 2 0 0 36 48 77 -4.44089209850063e-16
+24 0 2 0 0 36 48 78 -4.44089209850063e-16
+24 0 2 0 0 36 48 79 -4.44089209850063e-16
+24 0 2 0 0 36 48 80 -4.44089209850063e-16
+24 0 2 0 0 36 48 81 -4.44089209850063e-16
+24 0 2 0 0 36 48 82 -4.44089209850063e-16
+24 0 2 0 0 36 48 83 -4.44089209850063e-16
+24 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 -4.44089209850063e-16
+24 0 1 0 0 36 48 36 -4.44089209850063e-16
+24 0 1 0 0 36 48 38 -4.44089209850063e-16
+24 0 1 0 0 36 48 40 -4.44089209850063e-16
+24 0 1 0 0 36 48 42 -4.44089209850063e-16
+24 0 1 0 0 36 48 44 -4.44089209850063e-16
+24 0 1 0 0 36 48 46 -4.44089209850063e-16
+24 0 1 0 0 36 48 48 -4.44089209850063e-16
+24 0 1 0 0 36 48 50 -4.44089209850063e-16
+24 0 1 0 0 36 48 52 -4.44089209850063e-16
+24 0 1 0 0 36 48 54 -4.44089209850063e-16
+24 0 1 0 0 36 48 56 -4.44089209850063e-16
+24 0 1 0 0 36 48 58 -4.44089209850063e-16
+24 0 1 0 0 36 48 60 -4.44089209850063e-16
+24 0 1 0 0 36 48 62 -4.44089209850063e-16
+24 0 1 0 0 36 48 64 -4.44089209850063e-16
+24 0 1 0 0 36 48 66 -4.44089209850063e-16
+24 0 1 0 0 36 48 68 -4.44089209850063e-16
+24 0 1 0 0 36 48 70 -4.44089209850063e-16
+24 0 1 0 0 36 48 72 -4.44089209850063e-16
+24 0 1 0 0 36 48 74 -4.44089209850063e-16
+24 0 1 0 0 36 48 76 -4.44089209850063e-16
+24 0 1 0 0 36 48 78 -4.44089209850063e-16
+24 0 1 0 0 36 48 80 -4.44089209850063e-16
+24 0 1 0 0 36 48 82 -4.44089209850063e-16
+24 0 1 0 0 36 48 84 -4.44089209850063e-16
+24 0 1 0 0 36 48 86 -4.44089209850063e-16
+24 0 1 0 0 36 48 88 -4.44089209850063e-16
+24 0 1 0 0 36 48 90 -4.44089209850063e-16
+24 0 1 0 0 36 48 92 -4.44089209850063e-16
+24 0 1 0 0 36 48 94 -4.44089209850063e-16
+24 0 1 0 0 36 48 96 -4.44089209850063e-16
+24 0 1 0 0 36 48 98 -4.44089209850063e-16
+24 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 -4.44089209850063e-16
+24 0 0 0 0 36 48 4 -4.44089209850063e-16
+24 0 0 0 0 36 48 8 -4.44089209850063e-16
+24 0 0 0 0 36 48 12 -4.44089209850063e-16
+24 0 0 0 0 36 48 16 -4.44089209850063e-16
+24 0 0 0 0 36 48 20 -4.44089209850063e-16
+24 0 0 0 0 36 48 24 -4.44089209850063e-16
+24 0 0 0 0 36 48 28 -4.44089209850063e-16
+24 0 0 0 0 36 48 32 -4.44089209850063e-16
+24 0 0 0 0 36 48 36 -4.44089209850063e-16
+24 0 0 0 0 36 48 40 -4.44089209850063e-16
+24 0 0 0 0 36 48 44 -4.44089209850063e-16
+24 0 0 0 0 36 48 48 -4.44089209850063e-16
+24 0 0 0 0 36 48 52 -4.44089209850063e-16
+24 0 0 0 0 36 48 56 -4.44089209850063e-16
+24 0 0 0 0 36 48 60 -4.44089209850063e-16
+24 0 0 0 0 36 48 64 -4.44089209850063e-16
+24 0 0 0 0 36 48 68 -4.44089209850063e-16
+24 0 0 0 0 36 48 72 -4.44089209850063e-16
+24 0 0 0 0 36 48 76 -4.44089209850063e-16
+24 0 0 0 0 36 48 80 -4.44089209850063e-16
+24 0 0 0 0 36 48 84 -4.44089209850063e-16
+24 0 0 0 0 36 48 88 -4.44089209850063e-16
+24 0 0 0 0 36 48 92 -4.44089209850063e-16
+24 0 0 0 0 36 48 96 -4.44089209850063e-16
+24 0 0 0 0 36 48 100 -4.44089209850063e-16
+24 0 0 0 0 36 48 104 -4.44089209850063e-16
+24 0 0 0 0 36 48 108 -4.44089209850063e-16
+24 0 0 0 0 36 48 112 -4.44089209850063e-16
+24 0 0 0 0 36 48 116 -4.44089209850063e-16
+24 0 0 0 0 36 48 120 -4.44089209850063e-16
+24 0 0 0 0 36 48 124 -4.44089209850063e-16
+24 0 0 0 0 36 48 128 -4.44089209850063e-16
+24 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.xl
new file mode 100644
index 000000000..53b7b5e1e
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.xl
@@ -0,0 +1,1082 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0
+0 0 2 0 0 28 48 64 0
+0 0 2 0 0 29 48 64 0
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+0 0 2 0 0 42 48 64 0
+0 0 2 0 0 43 48 64 0
+0 0 2 0 0 44 48 64 0
+0 0 2 0 0 45 48 64 0
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 0
+0 0 1 0 0 20 48 64 0
+0 0 1 0 0 22 48 64 0
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+0 0 1 0 0 52 48 64 0
+0 0 1 0 0 54 48 64 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 0
+0 0 0 0 0 4 48 64 0
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+0 0 0 0 0 64 48 64 0
+0 0 0 0 0 68 48 64 0
+0 0 0 0 0 72 48 64 0
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0
+1 0 2 0 0 28 48 64 0
+1 0 2 0 0 29 48 64 0
+1 0 2 0 0 30 48 64 0
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+1 0 2 0 0 43 48 64 0
+1 0 2 0 0 44 48 64 0
+1 0 2 0 0 45 48 64 0
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0
+2 0 2 0 0 28 48 64 0
+2 0 2 0 0 29 48 64 0
+2 0 2 0 0 30 48 64 0
+2 0 2 0 0 31 48 64 0
+2 0 2 0 0 32 48 64 0
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+2 0 2 0 0 42 48 64 0
+2 0 2 0 0 43 48 64 0
+2 0 2 0 0 44 48 64 0
+2 0 2 0 0 45 48 64 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 0
+2 0 1 0 0 20 48 64 0
+2 0 1 0 0 22 48 64 0
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+2 0 1 0 0 54 48 64 0
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0
+3 0 2 0 0 28 48 64 0
+3 0 2 0 0 29 48 64 0
+3 0 2 0 0 30 48 64 0
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+3 0 2 0 0 43 48 64 0
+3 0 2 0 0 44 48 64 0
+3 0 2 0 0 45 48 64 0
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0
+4 0 2 0 0 28 48 64 0
+4 0 2 0 0 29 48 64 0
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+4 0 2 0 0 44 48 64 0
+4 0 2 0 0 45 48 64 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0
+4 0 1 0 0 20 48 64 0
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+4 0 1 0 0 52 48 64 0
+4 0 1 0 0 54 48 64 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 0
+4 0 0 0 0 4 48 64 0
+4 0 0 0 0 8 48 64 0
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+4 0 0 0 0 68 48 64 0
+4 0 0 0 0 72 48 64 0
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0
+5 0 2 0 0 28 48 64 0
+5 0 2 0 0 29 48 64 0
+5 0 2 0 0 30 48 64 0
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+5 0 2 0 0 44 48 64 0
+5 0 2 0 0 45 48 64 0
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0
+6 0 2 0 0 28 48 64 0
+6 0 2 0 0 29 48 64 0
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+6 0 2 0 0 44 48 64 0
+6 0 2 0 0 45 48 64 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0
+6 0 1 0 0 20 48 64 0
+6 0 1 0 0 22 48 64 0
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+6 0 1 0 0 50 48 64 0
+6 0 1 0 0 52 48 64 0
+6 0 1 0 0 54 48 64 0
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0
+7 0 2 0 0 28 48 64 0
+7 0 2 0 0 29 48 64 0
+7 0 2 0 0 30 48 64 0
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+7 0 2 0 0 44 48 64 0
+7 0 2 0 0 45 48 64 0
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0
+8 0 2 0 0 28 48 64 0
+8 0 2 0 0 29 48 64 0
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+8 0 2 0 0 43 48 64 0
+8 0 2 0 0 44 48 64 0
+8 0 2 0 0 45 48 64 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0
+8 0 1 0 0 20 48 64 0
+8 0 1 0 0 22 48 64 0
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+8 0 1 0 0 50 48 64 0
+8 0 1 0 0 52 48 64 0
+8 0 1 0 0 54 48 64 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 0
+8 0 0 0 0 4 48 64 0
+8 0 0 0 0 8 48 64 0
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+8 0 0 0 0 68 48 64 0
+8 0 0 0 0 72 48 64 0
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0
+9 0 2 0 0 28 48 64 0
+9 0 2 0 0 29 48 64 0
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+9 0 2 0 0 44 48 64 0
+9 0 2 0 0 45 48 64 0
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0
+10 0 2 0 0 28 48 64 0
+10 0 2 0 0 29 48 64 0
+10 0 2 0 0 30 48 64 0
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+10 0 2 0 0 43 48 64 0
+10 0 2 0 0 44 48 64 0
+10 0 2 0 0 45 48 64 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0
+10 0 1 0 0 20 48 64 0
+10 0 1 0 0 22 48 64 0
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+10 0 1 0 0 50 48 64 0
+10 0 1 0 0 52 48 64 0
+10 0 1 0 0 54 48 64 0
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0
+11 0 2 0 0 28 48 64 0
+11 0 2 0 0 29 48 64 0
+11 0 2 0 0 30 48 64 0
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+11 0 2 0 0 42 48 64 0
+11 0 2 0 0 43 48 64 0
+11 0 2 0 0 44 48 64 0
+11 0 2 0 0 45 48 64 0
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0
+12 0 2 0 0 28 48 64 0
+12 0 2 0 0 29 48 64 0
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+12 0 2 0 0 42 48 64 0
+12 0 2 0 0 43 48 64 0
+12 0 2 0 0 44 48 64 0
+12 0 2 0 0 45 48 64 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0
+12 0 1 0 0 20 48 64 0
+12 0 1 0 0 22 48 64 0
+12 0 1 0 0 24 48 64 0
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+12 0 1 0 0 48 48 64 0
+12 0 1 0 0 50 48 64 0
+12 0 1 0 0 52 48 64 0
+12 0 1 0 0 54 48 64 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 0
+12 0 0 0 0 4 48 64 0
+12 0 0 0 0 8 48 64 0
+12 0 0 0 0 12 48 64 0
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+12 0 0 0 0 60 48 64 0
+12 0 0 0 0 64 48 64 0
+12 0 0 0 0 68 48 64 0
+12 0 0 0 0 72 48 64 0
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0
+13 0 2 0 0 28 48 64 0
+13 0 2 0 0 29 48 64 0
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+13 0 2 0 0 43 48 64 0
+13 0 2 0 0 44 48 64 0
+13 0 2 0 0 45 48 64 0
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0
+14 0 2 0 0 28 48 64 0
+14 0 2 0 0 29 48 64 0
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+14 0 2 0 0 42 48 64 0
+14 0 2 0 0 43 48 64 0
+14 0 2 0 0 44 48 64 0
+14 0 2 0 0 45 48 64 0
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0
+14 0 1 0 0 20 48 64 0
+14 0 1 0 0 22 48 64 0
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+14 0 1 0 0 26 48 64 0
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+14 0 1 0 0 50 48 64 0
+14 0 1 0 0 52 48 64 0
+14 0 1 0 0 54 48 64 0
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0
+15 0 2 0 0 28 48 64 0
+15 0 2 0 0 29 48 64 0
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+15 0 2 0 0 43 48 64 0
+15 0 2 0 0 44 48 64 0
+15 0 2 0 0 45 48 64 0
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0
+16 0 2 0 0 28 48 64 0
+16 0 2 0 0 29 48 64 0
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+16 0 2 0 0 43 48 64 0
+16 0 2 0 0 44 48 64 0
+16 0 2 0 0 45 48 64 0
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0
+16 0 1 0 0 20 48 64 0
+16 0 1 0 0 22 48 64 0
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+16 0 1 0 0 48 48 64 0
+16 0 1 0 0 50 48 64 0
+16 0 1 0 0 52 48 64 0
+16 0 1 0 0 54 48 64 0
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 0
+16 0 0 0 0 4 48 64 0
+16 0 0 0 0 8 48 64 0
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+16 0 0 0 0 64 48 64 0
+16 0 0 0 0 68 48 64 0
+16 0 0 0 0 72 48 64 0
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0
+17 0 2 0 0 28 48 64 0
+17 0 2 0 0 29 48 64 0
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+17 0 2 0 0 43 48 64 0
+17 0 2 0 0 44 48 64 0
+17 0 2 0 0 45 48 64 0
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0
+18 0 2 0 0 28 48 64 0
+18 0 2 0 0 29 48 64 0
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+18 0 2 0 0 43 48 64 0
+18 0 2 0 0 44 48 64 0
+18 0 2 0 0 45 48 64 0
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0
+18 0 1 0 0 20 48 64 0
+18 0 1 0 0 22 48 64 0
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+18 0 1 0 0 50 48 64 0
+18 0 1 0 0 52 48 64 0
+18 0 1 0 0 54 48 64 0
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0
+19 0 2 0 0 28 48 64 0
+19 0 2 0 0 29 48 64 0
+19 0 2 0 0 30 48 64 0
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+19 0 2 0 0 43 48 64 0
+19 0 2 0 0 44 48 64 0
+19 0 2 0 0 45 48 64 0
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0
+20 0 2 0 0 28 48 64 0
+20 0 2 0 0 29 48 64 0
+20 0 2 0 0 30 48 64 0
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+20 0 2 0 0 42 48 64 0
+20 0 2 0 0 43 48 64 0
+20 0 2 0 0 44 48 64 0
+20 0 2 0 0 45 48 64 0
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0
+20 0 1 0 0 20 48 64 0
+20 0 1 0 0 22 48 64 0
+20 0 1 0 0 24 48 64 0
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+20 0 1 0 0 50 48 64 0
+20 0 1 0 0 52 48 64 0
+20 0 1 0 0 54 48 64 0
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 0
+20 0 0 0 0 4 48 64 0
+20 0 0 0 0 8 48 64 0
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+20 0 0 0 0 60 48 64 0
+20 0 0 0 0 64 48 64 0
+20 0 0 0 0 68 48 64 0
+20 0 0 0 0 72 48 64 0
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0
+21 0 2 0 0 28 48 64 0
+21 0 2 0 0 29 48 64 0
+21 0 2 0 0 30 48 64 0
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+21 0 2 0 0 43 48 64 0
+21 0 2 0 0 44 48 64 0
+21 0 2 0 0 45 48 64 0
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0
+22 0 2 0 0 28 48 64 0
+22 0 2 0 0 29 48 64 0
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+22 0 2 0 0 43 48 64 0
+22 0 2 0 0 44 48 64 0
+22 0 2 0 0 45 48 64 0
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0
+22 0 1 0 0 20 48 64 0
+22 0 1 0 0 22 48 64 0
+22 0 1 0 0 24 48 64 0
+22 0 1 0 0 26 48 64 0
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+22 0 1 0 0 48 48 64 0
+22 0 1 0 0 50 48 64 0
+22 0 1 0 0 52 48 64 0
+22 0 1 0 0 54 48 64 0
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0
+23 0 2 0 0 28 48 64 0
+23 0 2 0 0 29 48 64 0
+23 0 2 0 0 30 48 64 0
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+23 0 2 0 0 43 48 64 0
+23 0 2 0 0 44 48 64 0
+23 0 2 0 0 45 48 64 0
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0
+24 0 2 0 0 28 48 64 0
+24 0 2 0 0 29 48 64 0
+24 0 2 0 0 30 48 64 0
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+24 0 2 0 0 42 48 64 0
+24 0 2 0 0 43 48 64 0
+24 0 2 0 0 44 48 64 0
+24 0 2 0 0 45 48 64 0
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0
+24 0 1 0 0 20 48 64 0
+24 0 1 0 0 22 48 64 0
+24 0 1 0 0 24 48 64 0
+24 0 1 0 0 26 48 64 0
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+24 0 1 0 0 48 48 64 0
+24 0 1 0 0 50 48 64 0
+24 0 1 0 0 52 48 64 0
+24 0 1 0 0 54 48 64 0
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 0
+24 0 0 0 0 4 48 64 0
+24 0 0 0 0 8 48 64 0
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+24 0 0 0 0 60 48 64 0
+24 0 0 0 0 64 48 64 0
+24 0 0 0 0 68 48 64 0
+24 0 0 0 0 72 48 64 0
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.yl
new file mode 100644
index 000000000..436f68412
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.yl
@@ -0,0 +1,1397 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0
+0 0 2 0 0 36 40 64 0
+0 0 2 0 0 36 41 64 0
+0 0 2 0 0 36 42 64 0
+0 0 2 0 0 36 43 64 0
+0 0 2 0 0 36 44 64 0
+0 0 2 0 0 36 45 64 0
+0 0 2 0 0 36 46 64 0
+0 0 2 0 0 36 47 64 0
+0 0 2 0 0 36 48 64 0
+0 0 2 0 0 36 49 64 0
+0 0 2 0 0 36 50 64 0
+0 0 2 0 0 36 51 64 0
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+0 0 2 0 0 36 57 64 0
+0 0 2 0 0 36 58 64 0
+0 0 2 0 0 36 59 64 0
+0 0 2 0 0 36 60 64 0
+0 0 2 0 0 36 61 64 0
+0 0 2 0 0 36 62 64 0
+0 0 2 0 0 36 63 64 0
+0 0 2 0 0 36 64 64 0
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 0
+0 0 1 0 0 36 28 64 0
+0 0 1 0 0 36 30 64 0
+0 0 1 0 0 36 32 64 0
+0 0 1 0 0 36 34 64 0
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+0 0 1 0 0 36 50 64 0
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+0 0 1 0 0 36 64 64 0
+0 0 1 0 0 36 66 64 0
+0 0 1 0 0 36 68 64 0
+0 0 1 0 0 36 70 64 0
+0 0 1 0 0 36 72 64 0
+0 0 1 0 0 36 74 64 0
+0 0 1 0 0 36 76 64 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 0
+0 0 0 0 0 36 4 64 0
+0 0 0 0 0 36 8 64 0
+0 0 0 0 0 36 12 64 0
+0 0 0 0 0 36 16 64 0
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+0 0 0 0 0 36 48 64 0
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+0 0 0 0 0 36 88 64 0
+0 0 0 0 0 36 92 64 0
+0 0 0 0 0 36 96 64 0
+0 0 0 0 0 36 100 64 0
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0
+1 0 2 0 0 36 40 64 0
+1 0 2 0 0 36 41 64 0
+1 0 2 0 0 36 42 64 0
+1 0 2 0 0 36 43 64 0
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+1 0 2 0 0 36 64 64 0
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0
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+2 0 2 0 0 36 64 64 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0
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+2 0 1 0 0 36 76 64 0
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0
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+3 0 2 0 0 36 64 64 0
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0
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+4 0 2 0 0 36 64 64 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0
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+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 0
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+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0
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+5 0 2 0 0 36 64 64 0
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0
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+6 0 2 0 0 36 64 64 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0
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+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0
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+7 0 2 0 0 36 64 64 0
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 0
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+8 0 2 0 0 36 64 64 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0
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+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 0
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+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0
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+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0
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+10 0 2 0 0 36 64 64 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0
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+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0
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+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0
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+12 0 2 0 0 36 64 64 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0
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+12 0 1 0 0 36 76 64 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 0
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+12 0 0 0 0 36 100 64 0
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0
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+13 0 2 0 0 36 64 64 0
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0
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+14 0 2 0 0 36 64 64 0
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0
+14 0 1 0 0 36 28 64 0
+14 0 1 0 0 36 30 64 0
+14 0 1 0 0 36 32 64 0
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+14 0 1 0 0 36 70 64 0
+14 0 1 0 0 36 72 64 0
+14 0 1 0 0 36 74 64 0
+14 0 1 0 0 36 76 64 0
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0
+15 0 2 0 0 36 40 64 0
+15 0 2 0 0 36 41 64 0
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+15 0 2 0 0 36 61 64 0
+15 0 2 0 0 36 62 64 0
+15 0 2 0 0 36 63 64 0
+15 0 2 0 0 36 64 64 0
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0
+16 0 2 0 0 36 40 64 0
+16 0 2 0 0 36 41 64 0
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+16 0 2 0 0 36 61 64 0
+16 0 2 0 0 36 62 64 0
+16 0 2 0 0 36 63 64 0
+16 0 2 0 0 36 64 64 0
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0
+16 0 1 0 0 36 28 64 0
+16 0 1 0 0 36 30 64 0
+16 0 1 0 0 36 32 64 0
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+16 0 1 0 0 36 70 64 0
+16 0 1 0 0 36 72 64 0
+16 0 1 0 0 36 74 64 0
+16 0 1 0 0 36 76 64 0
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 0
+16 0 0 0 0 36 4 64 0
+16 0 0 0 0 36 8 64 0
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+16 0 0 0 0 36 88 64 0
+16 0 0 0 0 36 92 64 0
+16 0 0 0 0 36 96 64 0
+16 0 0 0 0 36 100 64 0
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0
+17 0 2 0 0 36 40 64 0
+17 0 2 0 0 36 41 64 0
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+17 0 2 0 0 36 61 64 0
+17 0 2 0 0 36 62 64 0
+17 0 2 0 0 36 63 64 0
+17 0 2 0 0 36 64 64 0
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0
+18 0 2 0 0 36 40 64 0
+18 0 2 0 0 36 41 64 0
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+18 0 2 0 0 36 60 64 0
+18 0 2 0 0 36 61 64 0
+18 0 2 0 0 36 62 64 0
+18 0 2 0 0 36 63 64 0
+18 0 2 0 0 36 64 64 0
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0
+18 0 1 0 0 36 28 64 0
+18 0 1 0 0 36 30 64 0
+18 0 1 0 0 36 32 64 0
+18 0 1 0 0 36 34 64 0
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+18 0 1 0 0 36 70 64 0
+18 0 1 0 0 36 72 64 0
+18 0 1 0 0 36 74 64 0
+18 0 1 0 0 36 76 64 0
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0
+19 0 2 0 0 36 40 64 0
+19 0 2 0 0 36 41 64 0
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+19 0 2 0 0 36 61 64 0
+19 0 2 0 0 36 62 64 0
+19 0 2 0 0 36 63 64 0
+19 0 2 0 0 36 64 64 0
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0
+20 0 2 0 0 36 40 64 0
+20 0 2 0 0 36 41 64 0
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+20 0 2 0 0 36 61 64 0
+20 0 2 0 0 36 62 64 0
+20 0 2 0 0 36 63 64 0
+20 0 2 0 0 36 64 64 0
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0
+20 0 1 0 0 36 28 64 0
+20 0 1 0 0 36 30 64 0
+20 0 1 0 0 36 32 64 0
+20 0 1 0 0 36 34 64 0
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+20 0 1 0 0 36 70 64 0
+20 0 1 0 0 36 72 64 0
+20 0 1 0 0 36 74 64 0
+20 0 1 0 0 36 76 64 0
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 0
+20 0 0 0 0 36 4 64 0
+20 0 0 0 0 36 8 64 0
+20 0 0 0 0 36 12 64 0
+20 0 0 0 0 36 16 64 0
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+20 0 0 0 0 36 48 64 0
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+20 0 0 0 0 36 88 64 0
+20 0 0 0 0 36 92 64 0
+20 0 0 0 0 36 96 64 0
+20 0 0 0 0 36 100 64 0
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0
+21 0 2 0 0 36 40 64 0
+21 0 2 0 0 36 41 64 0
+21 0 2 0 0 36 42 64 0
+21 0 2 0 0 36 43 64 0
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+21 0 2 0 0 36 61 64 0
+21 0 2 0 0 36 62 64 0
+21 0 2 0 0 36 63 64 0
+21 0 2 0 0 36 64 64 0
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0
+22 0 2 0 0 36 40 64 0
+22 0 2 0 0 36 41 64 0
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+22 0 2 0 0 36 60 64 0
+22 0 2 0 0 36 61 64 0
+22 0 2 0 0 36 62 64 0
+22 0 2 0 0 36 63 64 0
+22 0 2 0 0 36 64 64 0
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0
+22 0 1 0 0 36 28 64 0
+22 0 1 0 0 36 30 64 0
+22 0 1 0 0 36 32 64 0
+22 0 1 0 0 36 34 64 0
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+22 0 1 0 0 36 70 64 0
+22 0 1 0 0 36 72 64 0
+22 0 1 0 0 36 74 64 0
+22 0 1 0 0 36 76 64 0
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0
+23 0 2 0 0 36 40 64 0
+23 0 2 0 0 36 41 64 0
+23 0 2 0 0 36 42 64 0
+23 0 2 0 0 36 43 64 0
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+23 0 2 0 0 36 61 64 0
+23 0 2 0 0 36 62 64 0
+23 0 2 0 0 36 63 64 0
+23 0 2 0 0 36 64 64 0
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0
+24 0 2 0 0 36 40 64 0
+24 0 2 0 0 36 41 64 0
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+24 0 2 0 0 36 61 64 0
+24 0 2 0 0 36 62 64 0
+24 0 2 0 0 36 63 64 0
+24 0 2 0 0 36 64 64 0
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0
+24 0 1 0 0 36 28 64 0
+24 0 1 0 0 36 30 64 0
+24 0 1 0 0 36 32 64 0
+24 0 1 0 0 36 34 64 0
+24 0 1 0 0 36 36 64 0
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+24 0 1 0 0 36 70 64 0
+24 0 1 0 0 36 72 64 0
+24 0 1 0 0 36 74 64 0
+24 0 1 0 0 36 76 64 0
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0
+24 0 0 0 0 36 4 64 0
+24 0 0 0 0 36 8 64 0
+24 0 0 0 0 36 12 64 0
+24 0 0 0 0 36 16 64 0
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+24 0 0 0 0 36 56 64 0
+24 0 0 0 0 36 60 64 0
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+24 0 0 0 0 36 68 64 0
+24 0 0 0 0 36 72 64 0
+24 0 0 0 0 36 76 64 0
+24 0 0 0 0 36 80 64 0
+24 0 0 0 0 36 84 64 0
+24 0 0 0 0 36 88 64 0
+24 0 0 0 0 36 92 64 0
+24 0 0 0 0 36 96 64 0
+24 0 0 0 0 36 100 64 0
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.zl
new file mode 100644
index 000000000..e10c9f932
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.zl
@@ -0,0 +1,1757 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 -1.95
+0 0 2 0 0 36 48 52 -1.8
+0 0 2 0 0 36 48 53 -1.65
+0 0 2 0 0 36 48 54 -1.5
+0 0 2 0 0 36 48 55 -1.35
+0 0 2 0 0 36 48 56 -1.2
+0 0 2 0 0 36 48 57 -1.05
+0 0 2 0 0 36 48 58 -0.9
+0 0 2 0 0 36 48 59 -0.75
+0 0 2 0 0 36 48 60 -0.6
+0 0 2 0 0 36 48 61 -0.45
+0 0 2 0 0 36 48 62 -0.3
+0 0 2 0 0 36 48 63 -0.15
+0 0 2 0 0 36 48 64 0
+0 0 2 0 0 36 48 65 0.15
+0 0 2 0 0 36 48 66 0.3
+0 0 2 0 0 36 48 67 0.45
+0 0 2 0 0 36 48 68 0.6
+0 0 2 0 0 36 48 69 0.75
+0 0 2 0 0 36 48 70 0.9
+0 0 2 0 0 36 48 71 1.05
+0 0 2 0 0 36 48 72 1.2
+0 0 2 0 0 36 48 73 1.35
+0 0 2 0 0 36 48 74 1.5
+0 0 2 0 0 36 48 75 1.65
+0 0 2 0 0 36 48 76 1.8
+0 0 2 0 0 36 48 77 1.95
+0 0 2 0 0 36 48 78 2.1
+0 0 2 0 0 36 48 79 2.25
+0 0 2 0 0 36 48 80 2.4
+0 0 2 0 0 36 48 81 2.55
+0 0 2 0 0 36 48 82 2.7
+0 0 2 0 0 36 48 83 2.85
+0 0 2 0 0 36 48 84 3
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -4.5
+0 0 1 0 0 36 48 36 -4.2
+0 0 1 0 0 36 48 38 -3.9
+0 0 1 0 0 36 48 40 -3.6
+0 0 1 0 0 36 48 42 -3.3
+0 0 1 0 0 36 48 44 -3
+0 0 1 0 0 36 48 46 -2.7
+0 0 1 0 0 36 48 48 -2.4
+0 0 1 0 0 36 48 50 -2.1
+0 0 1 0 0 36 48 52 -1.8
+0 0 1 0 0 36 48 54 -1.5
+0 0 1 0 0 36 48 56 -1.2
+0 0 1 0 0 36 48 58 -0.9
+0 0 1 0 0 36 48 60 -0.6
+0 0 1 0 0 36 48 62 -0.3
+0 0 1 0 0 36 48 64 0
+0 0 1 0 0 36 48 66 0.3
+0 0 1 0 0 36 48 68 0.6
+0 0 1 0 0 36 48 70 0.9
+0 0 1 0 0 36 48 72 1.2
+0 0 1 0 0 36 48 74 1.5
+0 0 1 0 0 36 48 76 1.8
+0 0 1 0 0 36 48 78 2.1
+0 0 1 0 0 36 48 80 2.4
+0 0 1 0 0 36 48 82 2.7
+0 0 1 0 0 36 48 84 3
+0 0 1 0 0 36 48 86 3.3
+0 0 1 0 0 36 48 88 3.6
+0 0 1 0 0 36 48 90 3.9
+0 0 1 0 0 36 48 92 4.2
+0 0 1 0 0 36 48 94 4.5
+0 0 1 0 0 36 48 96 4.8
+0 0 1 0 0 36 48 98 5.1
+0 0 1 0 0 36 48 100 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 -9.6
+0 0 0 0 0 36 48 4 -9
+0 0 0 0 0 36 48 8 -8.4
+0 0 0 0 0 36 48 12 -7.8
+0 0 0 0 0 36 48 16 -7.2
+0 0 0 0 0 36 48 20 -6.6
+0 0 0 0 0 36 48 24 -6
+0 0 0 0 0 36 48 28 -5.4
+0 0 0 0 0 36 48 32 -4.8
+0 0 0 0 0 36 48 36 -4.2
+0 0 0 0 0 36 48 40 -3.6
+0 0 0 0 0 36 48 44 -3
+0 0 0 0 0 36 48 48 -2.4
+0 0 0 0 0 36 48 52 -1.8
+0 0 0 0 0 36 48 56 -1.2
+0 0 0 0 0 36 48 60 -0.6
+0 0 0 0 0 36 48 64 0
+0 0 0 0 0 36 48 68 0.6
+0 0 0 0 0 36 48 72 1.2
+0 0 0 0 0 36 48 76 1.8
+0 0 0 0 0 36 48 80 2.4
+0 0 0 0 0 36 48 84 3
+0 0 0 0 0 36 48 88 3.6
+0 0 0 0 0 36 48 92 4.2
+0 0 0 0 0 36 48 96 4.8
+0 0 0 0 0 36 48 100 5.4
+0 0 0 0 0 36 48 104 6
+0 0 0 0 0 36 48 108 6.6
+0 0 0 0 0 36 48 112 7.2
+0 0 0 0 0 36 48 116 7.8
+0 0 0 0 0 36 48 120 8.4
+0 0 0 0 0 36 48 124 9
+0 0 0 0 0 36 48 128 9.6
+0 0 0 0 0 36 48 132 10.2
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 -1.95
+1 0 2 0 0 36 48 52 -1.8
+1 0 2 0 0 36 48 53 -1.65
+1 0 2 0 0 36 48 54 -1.5
+1 0 2 0 0 36 48 55 -1.35
+1 0 2 0 0 36 48 56 -1.2
+1 0 2 0 0 36 48 57 -1.05
+1 0 2 0 0 36 48 58 -0.9
+1 0 2 0 0 36 48 59 -0.75
+1 0 2 0 0 36 48 60 -0.6
+1 0 2 0 0 36 48 61 -0.45
+1 0 2 0 0 36 48 62 -0.3
+1 0 2 0 0 36 48 63 -0.15
+1 0 2 0 0 36 48 64 0
+1 0 2 0 0 36 48 65 0.15
+1 0 2 0 0 36 48 66 0.3
+1 0 2 0 0 36 48 67 0.45
+1 0 2 0 0 36 48 68 0.6
+1 0 2 0 0 36 48 69 0.75
+1 0 2 0 0 36 48 70 0.9
+1 0 2 0 0 36 48 71 1.05
+1 0 2 0 0 36 48 72 1.2
+1 0 2 0 0 36 48 73 1.35
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+1 0 2 0 0 36 48 75 1.65
+1 0 2 0 0 36 48 76 1.8
+1 0 2 0 0 36 48 77 1.95
+1 0 2 0 0 36 48 78 2.1
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+1 0 2 0 0 36 48 80 2.4
+1 0 2 0 0 36 48 81 2.55
+1 0 2 0 0 36 48 82 2.7
+1 0 2 0 0 36 48 83 2.85
+1 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 -1.95
+2 0 2 0 0 36 48 52 -1.8
+2 0 2 0 0 36 48 53 -1.65
+2 0 2 0 0 36 48 54 -1.5
+2 0 2 0 0 36 48 55 -1.35
+2 0 2 0 0 36 48 56 -1.2
+2 0 2 0 0 36 48 57 -1.05
+2 0 2 0 0 36 48 58 -0.9
+2 0 2 0 0 36 48 59 -0.75
+2 0 2 0 0 36 48 60 -0.6
+2 0 2 0 0 36 48 61 -0.45
+2 0 2 0 0 36 48 62 -0.3
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+2 0 2 0 0 36 48 64 0
+2 0 2 0 0 36 48 65 0.15
+2 0 2 0 0 36 48 66 0.3
+2 0 2 0 0 36 48 67 0.45
+2 0 2 0 0 36 48 68 0.6
+2 0 2 0 0 36 48 69 0.75
+2 0 2 0 0 36 48 70 0.9
+2 0 2 0 0 36 48 71 1.05
+2 0 2 0 0 36 48 72 1.2
+2 0 2 0 0 36 48 73 1.35
+2 0 2 0 0 36 48 74 1.5
+2 0 2 0 0 36 48 75 1.65
+2 0 2 0 0 36 48 76 1.8
+2 0 2 0 0 36 48 77 1.95
+2 0 2 0 0 36 48 78 2.1
+2 0 2 0 0 36 48 79 2.25
+2 0 2 0 0 36 48 80 2.4
+2 0 2 0 0 36 48 81 2.55
+2 0 2 0 0 36 48 82 2.7
+2 0 2 0 0 36 48 83 2.85
+2 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -4.5
+2 0 1 0 0 36 48 36 -4.2
+2 0 1 0 0 36 48 38 -3.9
+2 0 1 0 0 36 48 40 -3.6
+2 0 1 0 0 36 48 42 -3.3
+2 0 1 0 0 36 48 44 -3
+2 0 1 0 0 36 48 46 -2.7
+2 0 1 0 0 36 48 48 -2.4
+2 0 1 0 0 36 48 50 -2.1
+2 0 1 0 0 36 48 52 -1.8
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+2 0 1 0 0 36 48 56 -1.2
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+2 0 1 0 0 36 48 62 -0.3
+2 0 1 0 0 36 48 64 0
+2 0 1 0 0 36 48 66 0.3
+2 0 1 0 0 36 48 68 0.6
+2 0 1 0 0 36 48 70 0.9
+2 0 1 0 0 36 48 72 1.2
+2 0 1 0 0 36 48 74 1.5
+2 0 1 0 0 36 48 76 1.8
+2 0 1 0 0 36 48 78 2.1
+2 0 1 0 0 36 48 80 2.4
+2 0 1 0 0 36 48 82 2.7
+2 0 1 0 0 36 48 84 3
+2 0 1 0 0 36 48 86 3.3
+2 0 1 0 0 36 48 88 3.6
+2 0 1 0 0 36 48 90 3.9
+2 0 1 0 0 36 48 92 4.2
+2 0 1 0 0 36 48 94 4.5
+2 0 1 0 0 36 48 96 4.8
+2 0 1 0 0 36 48 98 5.1
+2 0 1 0 0 36 48 100 5.4
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 -1.95
+3 0 2 0 0 36 48 52 -1.8
+3 0 2 0 0 36 48 53 -1.65
+3 0 2 0 0 36 48 54 -1.5
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+3 0 2 0 0 36 48 56 -1.2
+3 0 2 0 0 36 48 57 -1.05
+3 0 2 0 0 36 48 58 -0.9
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+3 0 2 0 0 36 48 60 -0.6
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+3 0 2 0 0 36 48 62 -0.3
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+3 0 2 0 0 36 48 64 0
+3 0 2 0 0 36 48 65 0.15
+3 0 2 0 0 36 48 66 0.3
+3 0 2 0 0 36 48 67 0.45
+3 0 2 0 0 36 48 68 0.6
+3 0 2 0 0 36 48 69 0.75
+3 0 2 0 0 36 48 70 0.9
+3 0 2 0 0 36 48 71 1.05
+3 0 2 0 0 36 48 72 1.2
+3 0 2 0 0 36 48 73 1.35
+3 0 2 0 0 36 48 74 1.5
+3 0 2 0 0 36 48 75 1.65
+3 0 2 0 0 36 48 76 1.8
+3 0 2 0 0 36 48 77 1.95
+3 0 2 0 0 36 48 78 2.1
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+3 0 2 0 0 36 48 80 2.4
+3 0 2 0 0 36 48 81 2.55
+3 0 2 0 0 36 48 82 2.7
+3 0 2 0 0 36 48 83 2.85
+3 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 -1.95
+4 0 2 0 0 36 48 52 -1.8
+4 0 2 0 0 36 48 53 -1.65
+4 0 2 0 0 36 48 54 -1.5
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+4 0 2 0 0 36 48 57 -1.05
+4 0 2 0 0 36 48 58 -0.9
+4 0 2 0 0 36 48 59 -0.75
+4 0 2 0 0 36 48 60 -0.6
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+4 0 2 0 0 36 48 62 -0.3
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+4 0 2 0 0 36 48 64 0
+4 0 2 0 0 36 48 65 0.15
+4 0 2 0 0 36 48 66 0.3
+4 0 2 0 0 36 48 67 0.45
+4 0 2 0 0 36 48 68 0.6
+4 0 2 0 0 36 48 69 0.75
+4 0 2 0 0 36 48 70 0.9
+4 0 2 0 0 36 48 71 1.05
+4 0 2 0 0 36 48 72 1.2
+4 0 2 0 0 36 48 73 1.35
+4 0 2 0 0 36 48 74 1.5
+4 0 2 0 0 36 48 75 1.65
+4 0 2 0 0 36 48 76 1.8
+4 0 2 0 0 36 48 77 1.95
+4 0 2 0 0 36 48 78 2.1
+4 0 2 0 0 36 48 79 2.25
+4 0 2 0 0 36 48 80 2.4
+4 0 2 0 0 36 48 81 2.55
+4 0 2 0 0 36 48 82 2.7
+4 0 2 0 0 36 48 83 2.85
+4 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -4.5
+4 0 1 0 0 36 48 36 -4.2
+4 0 1 0 0 36 48 38 -3.9
+4 0 1 0 0 36 48 40 -3.6
+4 0 1 0 0 36 48 42 -3.3
+4 0 1 0 0 36 48 44 -3
+4 0 1 0 0 36 48 46 -2.7
+4 0 1 0 0 36 48 48 -2.4
+4 0 1 0 0 36 48 50 -2.1
+4 0 1 0 0 36 48 52 -1.8
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+4 0 1 0 0 36 48 56 -1.2
+4 0 1 0 0 36 48 58 -0.9
+4 0 1 0 0 36 48 60 -0.6
+4 0 1 0 0 36 48 62 -0.3
+4 0 1 0 0 36 48 64 0
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+4 0 1 0 0 36 48 68 0.6
+4 0 1 0 0 36 48 70 0.9
+4 0 1 0 0 36 48 72 1.2
+4 0 1 0 0 36 48 74 1.5
+4 0 1 0 0 36 48 76 1.8
+4 0 1 0 0 36 48 78 2.1
+4 0 1 0 0 36 48 80 2.4
+4 0 1 0 0 36 48 82 2.7
+4 0 1 0 0 36 48 84 3
+4 0 1 0 0 36 48 86 3.3
+4 0 1 0 0 36 48 88 3.6
+4 0 1 0 0 36 48 90 3.9
+4 0 1 0 0 36 48 92 4.2
+4 0 1 0 0 36 48 94 4.5
+4 0 1 0 0 36 48 96 4.8
+4 0 1 0 0 36 48 98 5.1
+4 0 1 0 0 36 48 100 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 -9.6
+4 0 0 0 0 36 48 4 -9
+4 0 0 0 0 36 48 8 -8.4
+4 0 0 0 0 36 48 12 -7.8
+4 0 0 0 0 36 48 16 -7.2
+4 0 0 0 0 36 48 20 -6.6
+4 0 0 0 0 36 48 24 -6
+4 0 0 0 0 36 48 28 -5.4
+4 0 0 0 0 36 48 32 -4.8
+4 0 0 0 0 36 48 36 -4.2
+4 0 0 0 0 36 48 40 -3.6
+4 0 0 0 0 36 48 44 -3
+4 0 0 0 0 36 48 48 -2.4
+4 0 0 0 0 36 48 52 -1.8
+4 0 0 0 0 36 48 56 -1.2
+4 0 0 0 0 36 48 60 -0.6
+4 0 0 0 0 36 48 64 0
+4 0 0 0 0 36 48 68 0.6
+4 0 0 0 0 36 48 72 1.2
+4 0 0 0 0 36 48 76 1.8
+4 0 0 0 0 36 48 80 2.4
+4 0 0 0 0 36 48 84 3
+4 0 0 0 0 36 48 88 3.6
+4 0 0 0 0 36 48 92 4.2
+4 0 0 0 0 36 48 96 4.8
+4 0 0 0 0 36 48 100 5.4
+4 0 0 0 0 36 48 104 6
+4 0 0 0 0 36 48 108 6.6
+4 0 0 0 0 36 48 112 7.2
+4 0 0 0 0 36 48 116 7.8
+4 0 0 0 0 36 48 120 8.4
+4 0 0 0 0 36 48 124 9
+4 0 0 0 0 36 48 128 9.6
+4 0 0 0 0 36 48 132 10.2
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 -1.95
+5 0 2 0 0 36 48 52 -1.8
+5 0 2 0 0 36 48 53 -1.65
+5 0 2 0 0 36 48 54 -1.5
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+5 0 2 0 0 36 48 57 -1.05
+5 0 2 0 0 36 48 58 -0.9
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+5 0 2 0 0 36 48 63 -0.15
+5 0 2 0 0 36 48 64 0
+5 0 2 0 0 36 48 65 0.15
+5 0 2 0 0 36 48 66 0.3
+5 0 2 0 0 36 48 67 0.45
+5 0 2 0 0 36 48 68 0.6
+5 0 2 0 0 36 48 69 0.75
+5 0 2 0 0 36 48 70 0.9
+5 0 2 0 0 36 48 71 1.05
+5 0 2 0 0 36 48 72 1.2
+5 0 2 0 0 36 48 73 1.35
+5 0 2 0 0 36 48 74 1.5
+5 0 2 0 0 36 48 75 1.65
+5 0 2 0 0 36 48 76 1.8
+5 0 2 0 0 36 48 77 1.95
+5 0 2 0 0 36 48 78 2.1
+5 0 2 0 0 36 48 79 2.25
+5 0 2 0 0 36 48 80 2.4
+5 0 2 0 0 36 48 81 2.55
+5 0 2 0 0 36 48 82 2.7
+5 0 2 0 0 36 48 83 2.85
+5 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 -1.95
+6 0 2 0 0 36 48 52 -1.8
+6 0 2 0 0 36 48 53 -1.65
+6 0 2 0 0 36 48 54 -1.5
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+6 0 2 0 0 36 48 68 0.6
+6 0 2 0 0 36 48 69 0.75
+6 0 2 0 0 36 48 70 0.9
+6 0 2 0 0 36 48 71 1.05
+6 0 2 0 0 36 48 72 1.2
+6 0 2 0 0 36 48 73 1.35
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+6 0 2 0 0 36 48 75 1.65
+6 0 2 0 0 36 48 76 1.8
+6 0 2 0 0 36 48 77 1.95
+6 0 2 0 0 36 48 78 2.1
+6 0 2 0 0 36 48 79 2.25
+6 0 2 0 0 36 48 80 2.4
+6 0 2 0 0 36 48 81 2.55
+6 0 2 0 0 36 48 82 2.7
+6 0 2 0 0 36 48 83 2.85
+6 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -4.5
+6 0 1 0 0 36 48 36 -4.2
+6 0 1 0 0 36 48 38 -3.9
+6 0 1 0 0 36 48 40 -3.6
+6 0 1 0 0 36 48 42 -3.3
+6 0 1 0 0 36 48 44 -3
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+6 0 1 0 0 36 48 48 -2.4
+6 0 1 0 0 36 48 50 -2.1
+6 0 1 0 0 36 48 52 -1.8
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+6 0 1 0 0 36 48 56 -1.2
+6 0 1 0 0 36 48 58 -0.9
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+6 0 1 0 0 36 48 62 -0.3
+6 0 1 0 0 36 48 64 0
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+6 0 1 0 0 36 48 68 0.6
+6 0 1 0 0 36 48 70 0.9
+6 0 1 0 0 36 48 72 1.2
+6 0 1 0 0 36 48 74 1.5
+6 0 1 0 0 36 48 76 1.8
+6 0 1 0 0 36 48 78 2.1
+6 0 1 0 0 36 48 80 2.4
+6 0 1 0 0 36 48 82 2.7
+6 0 1 0 0 36 48 84 3
+6 0 1 0 0 36 48 86 3.3
+6 0 1 0 0 36 48 88 3.6
+6 0 1 0 0 36 48 90 3.9
+6 0 1 0 0 36 48 92 4.2
+6 0 1 0 0 36 48 94 4.5
+6 0 1 0 0 36 48 96 4.8
+6 0 1 0 0 36 48 98 5.1
+6 0 1 0 0 36 48 100 5.4
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 -1.95
+7 0 2 0 0 36 48 52 -1.8
+7 0 2 0 0 36 48 53 -1.65
+7 0 2 0 0 36 48 54 -1.5
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+7 0 2 0 0 36 48 58 -0.9
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+7 0 2 0 0 36 48 66 0.3
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+7 0 2 0 0 36 48 68 0.6
+7 0 2 0 0 36 48 69 0.75
+7 0 2 0 0 36 48 70 0.9
+7 0 2 0 0 36 48 71 1.05
+7 0 2 0 0 36 48 72 1.2
+7 0 2 0 0 36 48 73 1.35
+7 0 2 0 0 36 48 74 1.5
+7 0 2 0 0 36 48 75 1.65
+7 0 2 0 0 36 48 76 1.8
+7 0 2 0 0 36 48 77 1.95
+7 0 2 0 0 36 48 78 2.1
+7 0 2 0 0 36 48 79 2.25
+7 0 2 0 0 36 48 80 2.4
+7 0 2 0 0 36 48 81 2.55
+7 0 2 0 0 36 48 82 2.7
+7 0 2 0 0 36 48 83 2.85
+7 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 -1.95
+8 0 2 0 0 36 48 52 -1.8
+8 0 2 0 0 36 48 53 -1.65
+8 0 2 0 0 36 48 54 -1.5
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+8 0 2 0 0 36 48 56 -1.2
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+8 0 2 0 0 36 48 58 -0.9
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+8 0 2 0 0 36 48 66 0.3
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+8 0 2 0 0 36 48 68 0.6
+8 0 2 0 0 36 48 69 0.75
+8 0 2 0 0 36 48 70 0.9
+8 0 2 0 0 36 48 71 1.05
+8 0 2 0 0 36 48 72 1.2
+8 0 2 0 0 36 48 73 1.35
+8 0 2 0 0 36 48 74 1.5
+8 0 2 0 0 36 48 75 1.65
+8 0 2 0 0 36 48 76 1.8
+8 0 2 0 0 36 48 77 1.95
+8 0 2 0 0 36 48 78 2.1
+8 0 2 0 0 36 48 79 2.25
+8 0 2 0 0 36 48 80 2.4
+8 0 2 0 0 36 48 81 2.55
+8 0 2 0 0 36 48 82 2.7
+8 0 2 0 0 36 48 83 2.85
+8 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -4.5
+8 0 1 0 0 36 48 36 -4.2
+8 0 1 0 0 36 48 38 -3.9
+8 0 1 0 0 36 48 40 -3.6
+8 0 1 0 0 36 48 42 -3.3
+8 0 1 0 0 36 48 44 -3
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+8 0 1 0 0 36 48 48 -2.4
+8 0 1 0 0 36 48 50 -2.1
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+8 0 1 0 0 36 48 62 -0.3
+8 0 1 0 0 36 48 64 0
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+8 0 1 0 0 36 48 68 0.6
+8 0 1 0 0 36 48 70 0.9
+8 0 1 0 0 36 48 72 1.2
+8 0 1 0 0 36 48 74 1.5
+8 0 1 0 0 36 48 76 1.8
+8 0 1 0 0 36 48 78 2.1
+8 0 1 0 0 36 48 80 2.4
+8 0 1 0 0 36 48 82 2.7
+8 0 1 0 0 36 48 84 3
+8 0 1 0 0 36 48 86 3.3
+8 0 1 0 0 36 48 88 3.6
+8 0 1 0 0 36 48 90 3.9
+8 0 1 0 0 36 48 92 4.2
+8 0 1 0 0 36 48 94 4.5
+8 0 1 0 0 36 48 96 4.8
+8 0 1 0 0 36 48 98 5.1
+8 0 1 0 0 36 48 100 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 -9.6
+8 0 0 0 0 36 48 4 -9
+8 0 0 0 0 36 48 8 -8.4
+8 0 0 0 0 36 48 12 -7.8
+8 0 0 0 0 36 48 16 -7.2
+8 0 0 0 0 36 48 20 -6.6
+8 0 0 0 0 36 48 24 -6
+8 0 0 0 0 36 48 28 -5.4
+8 0 0 0 0 36 48 32 -4.8
+8 0 0 0 0 36 48 36 -4.2
+8 0 0 0 0 36 48 40 -3.6
+8 0 0 0 0 36 48 44 -3
+8 0 0 0 0 36 48 48 -2.4
+8 0 0 0 0 36 48 52 -1.8
+8 0 0 0 0 36 48 56 -1.2
+8 0 0 0 0 36 48 60 -0.6
+8 0 0 0 0 36 48 64 0
+8 0 0 0 0 36 48 68 0.6
+8 0 0 0 0 36 48 72 1.2
+8 0 0 0 0 36 48 76 1.8
+8 0 0 0 0 36 48 80 2.4
+8 0 0 0 0 36 48 84 3
+8 0 0 0 0 36 48 88 3.6
+8 0 0 0 0 36 48 92 4.2
+8 0 0 0 0 36 48 96 4.8
+8 0 0 0 0 36 48 100 5.4
+8 0 0 0 0 36 48 104 6
+8 0 0 0 0 36 48 108 6.6
+8 0 0 0 0 36 48 112 7.2
+8 0 0 0 0 36 48 116 7.8
+8 0 0 0 0 36 48 120 8.4
+8 0 0 0 0 36 48 124 9
+8 0 0 0 0 36 48 128 9.6
+8 0 0 0 0 36 48 132 10.2
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 -1.95
+9 0 2 0 0 36 48 52 -1.8
+9 0 2 0 0 36 48 53 -1.65
+9 0 2 0 0 36 48 54 -1.5
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+9 0 2 0 0 36 48 56 -1.2
+9 0 2 0 0 36 48 57 -1.05
+9 0 2 0 0 36 48 58 -0.9
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+9 0 2 0 0 36 48 62 -0.3
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+9 0 2 0 0 36 48 64 0
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+9 0 2 0 0 36 48 66 0.3
+9 0 2 0 0 36 48 67 0.45
+9 0 2 0 0 36 48 68 0.6
+9 0 2 0 0 36 48 69 0.75
+9 0 2 0 0 36 48 70 0.9
+9 0 2 0 0 36 48 71 1.05
+9 0 2 0 0 36 48 72 1.2
+9 0 2 0 0 36 48 73 1.35
+9 0 2 0 0 36 48 74 1.5
+9 0 2 0 0 36 48 75 1.65
+9 0 2 0 0 36 48 76 1.8
+9 0 2 0 0 36 48 77 1.95
+9 0 2 0 0 36 48 78 2.1
+9 0 2 0 0 36 48 79 2.25
+9 0 2 0 0 36 48 80 2.4
+9 0 2 0 0 36 48 81 2.55
+9 0 2 0 0 36 48 82 2.7
+9 0 2 0 0 36 48 83 2.85
+9 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 -1.95
+10 0 2 0 0 36 48 52 -1.8
+10 0 2 0 0 36 48 53 -1.65
+10 0 2 0 0 36 48 54 -1.5
+10 0 2 0 0 36 48 55 -1.35
+10 0 2 0 0 36 48 56 -1.2
+10 0 2 0 0 36 48 57 -1.05
+10 0 2 0 0 36 48 58 -0.9
+10 0 2 0 0 36 48 59 -0.75
+10 0 2 0 0 36 48 60 -0.6
+10 0 2 0 0 36 48 61 -0.45
+10 0 2 0 0 36 48 62 -0.3
+10 0 2 0 0 36 48 63 -0.15
+10 0 2 0 0 36 48 64 0
+10 0 2 0 0 36 48 65 0.15
+10 0 2 0 0 36 48 66 0.3
+10 0 2 0 0 36 48 67 0.45
+10 0 2 0 0 36 48 68 0.6
+10 0 2 0 0 36 48 69 0.75
+10 0 2 0 0 36 48 70 0.9
+10 0 2 0 0 36 48 71 1.05
+10 0 2 0 0 36 48 72 1.2
+10 0 2 0 0 36 48 73 1.35
+10 0 2 0 0 36 48 74 1.5
+10 0 2 0 0 36 48 75 1.65
+10 0 2 0 0 36 48 76 1.8
+10 0 2 0 0 36 48 77 1.95
+10 0 2 0 0 36 48 78 2.1
+10 0 2 0 0 36 48 79 2.25
+10 0 2 0 0 36 48 80 2.4
+10 0 2 0 0 36 48 81 2.55
+10 0 2 0 0 36 48 82 2.7
+10 0 2 0 0 36 48 83 2.85
+10 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -4.5
+10 0 1 0 0 36 48 36 -4.2
+10 0 1 0 0 36 48 38 -3.9
+10 0 1 0 0 36 48 40 -3.6
+10 0 1 0 0 36 48 42 -3.3
+10 0 1 0 0 36 48 44 -3
+10 0 1 0 0 36 48 46 -2.7
+10 0 1 0 0 36 48 48 -2.4
+10 0 1 0 0 36 48 50 -2.1
+10 0 1 0 0 36 48 52 -1.8
+10 0 1 0 0 36 48 54 -1.5
+10 0 1 0 0 36 48 56 -1.2
+10 0 1 0 0 36 48 58 -0.9
+10 0 1 0 0 36 48 60 -0.6
+10 0 1 0 0 36 48 62 -0.3
+10 0 1 0 0 36 48 64 0
+10 0 1 0 0 36 48 66 0.3
+10 0 1 0 0 36 48 68 0.6
+10 0 1 0 0 36 48 70 0.9
+10 0 1 0 0 36 48 72 1.2
+10 0 1 0 0 36 48 74 1.5
+10 0 1 0 0 36 48 76 1.8
+10 0 1 0 0 36 48 78 2.1
+10 0 1 0 0 36 48 80 2.4
+10 0 1 0 0 36 48 82 2.7
+10 0 1 0 0 36 48 84 3
+10 0 1 0 0 36 48 86 3.3
+10 0 1 0 0 36 48 88 3.6
+10 0 1 0 0 36 48 90 3.9
+10 0 1 0 0 36 48 92 4.2
+10 0 1 0 0 36 48 94 4.5
+10 0 1 0 0 36 48 96 4.8
+10 0 1 0 0 36 48 98 5.1
+10 0 1 0 0 36 48 100 5.4
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 -1.95
+11 0 2 0 0 36 48 52 -1.8
+11 0 2 0 0 36 48 53 -1.65
+11 0 2 0 0 36 48 54 -1.5
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+11 0 2 0 0 36 48 57 -1.05
+11 0 2 0 0 36 48 58 -0.9
+11 0 2 0 0 36 48 59 -0.75
+11 0 2 0 0 36 48 60 -0.6
+11 0 2 0 0 36 48 61 -0.45
+11 0 2 0 0 36 48 62 -0.3
+11 0 2 0 0 36 48 63 -0.15
+11 0 2 0 0 36 48 64 0
+11 0 2 0 0 36 48 65 0.15
+11 0 2 0 0 36 48 66 0.3
+11 0 2 0 0 36 48 67 0.45
+11 0 2 0 0 36 48 68 0.6
+11 0 2 0 0 36 48 69 0.75
+11 0 2 0 0 36 48 70 0.9
+11 0 2 0 0 36 48 71 1.05
+11 0 2 0 0 36 48 72 1.2
+11 0 2 0 0 36 48 73 1.35
+11 0 2 0 0 36 48 74 1.5
+11 0 2 0 0 36 48 75 1.65
+11 0 2 0 0 36 48 76 1.8
+11 0 2 0 0 36 48 77 1.95
+11 0 2 0 0 36 48 78 2.1
+11 0 2 0 0 36 48 79 2.25
+11 0 2 0 0 36 48 80 2.4
+11 0 2 0 0 36 48 81 2.55
+11 0 2 0 0 36 48 82 2.7
+11 0 2 0 0 36 48 83 2.85
+11 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 -1.95
+12 0 2 0 0 36 48 52 -1.8
+12 0 2 0 0 36 48 53 -1.65
+12 0 2 0 0 36 48 54 -1.5
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+12 0 2 0 0 36 48 56 -1.2
+12 0 2 0 0 36 48 57 -1.05
+12 0 2 0 0 36 48 58 -0.9
+12 0 2 0 0 36 48 59 -0.75
+12 0 2 0 0 36 48 60 -0.6
+12 0 2 0 0 36 48 61 -0.45
+12 0 2 0 0 36 48 62 -0.3
+12 0 2 0 0 36 48 63 -0.15
+12 0 2 0 0 36 48 64 0
+12 0 2 0 0 36 48 65 0.15
+12 0 2 0 0 36 48 66 0.3
+12 0 2 0 0 36 48 67 0.45
+12 0 2 0 0 36 48 68 0.6
+12 0 2 0 0 36 48 69 0.75
+12 0 2 0 0 36 48 70 0.9
+12 0 2 0 0 36 48 71 1.05
+12 0 2 0 0 36 48 72 1.2
+12 0 2 0 0 36 48 73 1.35
+12 0 2 0 0 36 48 74 1.5
+12 0 2 0 0 36 48 75 1.65
+12 0 2 0 0 36 48 76 1.8
+12 0 2 0 0 36 48 77 1.95
+12 0 2 0 0 36 48 78 2.1
+12 0 2 0 0 36 48 79 2.25
+12 0 2 0 0 36 48 80 2.4
+12 0 2 0 0 36 48 81 2.55
+12 0 2 0 0 36 48 82 2.7
+12 0 2 0 0 36 48 83 2.85
+12 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -4.5
+12 0 1 0 0 36 48 36 -4.2
+12 0 1 0 0 36 48 38 -3.9
+12 0 1 0 0 36 48 40 -3.6
+12 0 1 0 0 36 48 42 -3.3
+12 0 1 0 0 36 48 44 -3
+12 0 1 0 0 36 48 46 -2.7
+12 0 1 0 0 36 48 48 -2.4
+12 0 1 0 0 36 48 50 -2.1
+12 0 1 0 0 36 48 52 -1.8
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+12 0 1 0 0 36 48 56 -1.2
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+12 0 1 0 0 36 48 62 -0.3
+12 0 1 0 0 36 48 64 0
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+12 0 1 0 0 36 48 68 0.6
+12 0 1 0 0 36 48 70 0.9
+12 0 1 0 0 36 48 72 1.2
+12 0 1 0 0 36 48 74 1.5
+12 0 1 0 0 36 48 76 1.8
+12 0 1 0 0 36 48 78 2.1
+12 0 1 0 0 36 48 80 2.4
+12 0 1 0 0 36 48 82 2.7
+12 0 1 0 0 36 48 84 3
+12 0 1 0 0 36 48 86 3.3
+12 0 1 0 0 36 48 88 3.6
+12 0 1 0 0 36 48 90 3.9
+12 0 1 0 0 36 48 92 4.2
+12 0 1 0 0 36 48 94 4.5
+12 0 1 0 0 36 48 96 4.8
+12 0 1 0 0 36 48 98 5.1
+12 0 1 0 0 36 48 100 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 -9.6
+12 0 0 0 0 36 48 4 -9
+12 0 0 0 0 36 48 8 -8.4
+12 0 0 0 0 36 48 12 -7.8
+12 0 0 0 0 36 48 16 -7.2
+12 0 0 0 0 36 48 20 -6.6
+12 0 0 0 0 36 48 24 -6
+12 0 0 0 0 36 48 28 -5.4
+12 0 0 0 0 36 48 32 -4.8
+12 0 0 0 0 36 48 36 -4.2
+12 0 0 0 0 36 48 40 -3.6
+12 0 0 0 0 36 48 44 -3
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+12 0 0 0 0 36 48 52 -1.8
+12 0 0 0 0 36 48 56 -1.2
+12 0 0 0 0 36 48 60 -0.6
+12 0 0 0 0 36 48 64 0
+12 0 0 0 0 36 48 68 0.6
+12 0 0 0 0 36 48 72 1.2
+12 0 0 0 0 36 48 76 1.8
+12 0 0 0 0 36 48 80 2.4
+12 0 0 0 0 36 48 84 3
+12 0 0 0 0 36 48 88 3.6
+12 0 0 0 0 36 48 92 4.2
+12 0 0 0 0 36 48 96 4.8
+12 0 0 0 0 36 48 100 5.4
+12 0 0 0 0 36 48 104 6
+12 0 0 0 0 36 48 108 6.6
+12 0 0 0 0 36 48 112 7.2
+12 0 0 0 0 36 48 116 7.8
+12 0 0 0 0 36 48 120 8.4
+12 0 0 0 0 36 48 124 9
+12 0 0 0 0 36 48 128 9.6
+12 0 0 0 0 36 48 132 10.2
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 -1.95
+13 0 2 0 0 36 48 52 -1.8
+13 0 2 0 0 36 48 53 -1.65
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+13 0 2 0 0 36 48 64 0
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+13 0 2 0 0 36 48 69 0.75
+13 0 2 0 0 36 48 70 0.9
+13 0 2 0 0 36 48 71 1.05
+13 0 2 0 0 36 48 72 1.2
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+13 0 2 0 0 36 48 74 1.5
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+13 0 2 0 0 36 48 78 2.1
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+13 0 2 0 0 36 48 81 2.55
+13 0 2 0 0 36 48 82 2.7
+13 0 2 0 0 36 48 83 2.85
+13 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 -1.95
+14 0 2 0 0 36 48 52 -1.8
+14 0 2 0 0 36 48 53 -1.65
+14 0 2 0 0 36 48 54 -1.5
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+14 0 2 0 0 36 48 68 0.6
+14 0 2 0 0 36 48 69 0.75
+14 0 2 0 0 36 48 70 0.9
+14 0 2 0 0 36 48 71 1.05
+14 0 2 0 0 36 48 72 1.2
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+14 0 2 0 0 36 48 76 1.8
+14 0 2 0 0 36 48 77 1.95
+14 0 2 0 0 36 48 78 2.1
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+14 0 2 0 0 36 48 80 2.4
+14 0 2 0 0 36 48 81 2.55
+14 0 2 0 0 36 48 82 2.7
+14 0 2 0 0 36 48 83 2.85
+14 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -4.5
+14 0 1 0 0 36 48 36 -4.2
+14 0 1 0 0 36 48 38 -3.9
+14 0 1 0 0 36 48 40 -3.6
+14 0 1 0 0 36 48 42 -3.3
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+14 0 1 0 0 36 48 48 -2.4
+14 0 1 0 0 36 48 50 -2.1
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+14 0 1 0 0 36 48 70 0.9
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+14 0 1 0 0 36 48 74 1.5
+14 0 1 0 0 36 48 76 1.8
+14 0 1 0 0 36 48 78 2.1
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+14 0 1 0 0 36 48 82 2.7
+14 0 1 0 0 36 48 84 3
+14 0 1 0 0 36 48 86 3.3
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+14 0 1 0 0 36 48 92 4.2
+14 0 1 0 0 36 48 94 4.5
+14 0 1 0 0 36 48 96 4.8
+14 0 1 0 0 36 48 98 5.1
+14 0 1 0 0 36 48 100 5.4
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 -1.95
+15 0 2 0 0 36 48 52 -1.8
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+15 0 2 0 0 36 48 71 1.05
+15 0 2 0 0 36 48 72 1.2
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+15 0 2 0 0 36 48 80 2.4
+15 0 2 0 0 36 48 81 2.55
+15 0 2 0 0 36 48 82 2.7
+15 0 2 0 0 36 48 83 2.85
+15 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 -1.95
+16 0 2 0 0 36 48 52 -1.8
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+16 0 2 0 0 36 48 81 2.55
+16 0 2 0 0 36 48 82 2.7
+16 0 2 0 0 36 48 83 2.85
+16 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -4.5
+16 0 1 0 0 36 48 36 -4.2
+16 0 1 0 0 36 48 38 -3.9
+16 0 1 0 0 36 48 40 -3.6
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+16 0 1 0 0 36 48 48 -2.4
+16 0 1 0 0 36 48 50 -2.1
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+16 0 1 0 0 36 48 72 1.2
+16 0 1 0 0 36 48 74 1.5
+16 0 1 0 0 36 48 76 1.8
+16 0 1 0 0 36 48 78 2.1
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+16 0 1 0 0 36 48 82 2.7
+16 0 1 0 0 36 48 84 3
+16 0 1 0 0 36 48 86 3.3
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+16 0 1 0 0 36 48 90 3.9
+16 0 1 0 0 36 48 92 4.2
+16 0 1 0 0 36 48 94 4.5
+16 0 1 0 0 36 48 96 4.8
+16 0 1 0 0 36 48 98 5.1
+16 0 1 0 0 36 48 100 5.4
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 -9.6
+16 0 0 0 0 36 48 4 -9
+16 0 0 0 0 36 48 8 -8.4
+16 0 0 0 0 36 48 12 -7.8
+16 0 0 0 0 36 48 16 -7.2
+16 0 0 0 0 36 48 20 -6.6
+16 0 0 0 0 36 48 24 -6
+16 0 0 0 0 36 48 28 -5.4
+16 0 0 0 0 36 48 32 -4.8
+16 0 0 0 0 36 48 36 -4.2
+16 0 0 0 0 36 48 40 -3.6
+16 0 0 0 0 36 48 44 -3
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+16 0 0 0 0 36 48 52 -1.8
+16 0 0 0 0 36 48 56 -1.2
+16 0 0 0 0 36 48 60 -0.6
+16 0 0 0 0 36 48 64 0
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+16 0 0 0 0 36 48 72 1.2
+16 0 0 0 0 36 48 76 1.8
+16 0 0 0 0 36 48 80 2.4
+16 0 0 0 0 36 48 84 3
+16 0 0 0 0 36 48 88 3.6
+16 0 0 0 0 36 48 92 4.2
+16 0 0 0 0 36 48 96 4.8
+16 0 0 0 0 36 48 100 5.4
+16 0 0 0 0 36 48 104 6
+16 0 0 0 0 36 48 108 6.6
+16 0 0 0 0 36 48 112 7.2
+16 0 0 0 0 36 48 116 7.8
+16 0 0 0 0 36 48 120 8.4
+16 0 0 0 0 36 48 124 9
+16 0 0 0 0 36 48 128 9.6
+16 0 0 0 0 36 48 132 10.2
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 -1.95
+17 0 2 0 0 36 48 52 -1.8
+17 0 2 0 0 36 48 53 -1.65
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+17 0 2 0 0 36 48 68 0.6
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+17 0 2 0 0 36 48 70 0.9
+17 0 2 0 0 36 48 71 1.05
+17 0 2 0 0 36 48 72 1.2
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+17 0 2 0 0 36 48 74 1.5
+17 0 2 0 0 36 48 75 1.65
+17 0 2 0 0 36 48 76 1.8
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+17 0 2 0 0 36 48 78 2.1
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+17 0 2 0 0 36 48 80 2.4
+17 0 2 0 0 36 48 81 2.55
+17 0 2 0 0 36 48 82 2.7
+17 0 2 0 0 36 48 83 2.85
+17 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 -1.95
+18 0 2 0 0 36 48 52 -1.8
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+18 0 2 0 0 36 48 70 0.9
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+18 0 2 0 0 36 48 72 1.2
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+18 0 2 0 0 36 48 74 1.5
+18 0 2 0 0 36 48 75 1.65
+18 0 2 0 0 36 48 76 1.8
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+18 0 2 0 0 36 48 78 2.1
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+18 0 2 0 0 36 48 80 2.4
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+18 0 2 0 0 36 48 82 2.7
+18 0 2 0 0 36 48 83 2.85
+18 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -4.5
+18 0 1 0 0 36 48 36 -4.2
+18 0 1 0 0 36 48 38 -3.9
+18 0 1 0 0 36 48 40 -3.6
+18 0 1 0 0 36 48 42 -3.3
+18 0 1 0 0 36 48 44 -3
+18 0 1 0 0 36 48 46 -2.7
+18 0 1 0 0 36 48 48 -2.4
+18 0 1 0 0 36 48 50 -2.1
+18 0 1 0 0 36 48 52 -1.8
+18 0 1 0 0 36 48 54 -1.5
+18 0 1 0 0 36 48 56 -1.2
+18 0 1 0 0 36 48 58 -0.9
+18 0 1 0 0 36 48 60 -0.6
+18 0 1 0 0 36 48 62 -0.3
+18 0 1 0 0 36 48 64 0
+18 0 1 0 0 36 48 66 0.3
+18 0 1 0 0 36 48 68 0.6
+18 0 1 0 0 36 48 70 0.9
+18 0 1 0 0 36 48 72 1.2
+18 0 1 0 0 36 48 74 1.5
+18 0 1 0 0 36 48 76 1.8
+18 0 1 0 0 36 48 78 2.1
+18 0 1 0 0 36 48 80 2.4
+18 0 1 0 0 36 48 82 2.7
+18 0 1 0 0 36 48 84 3
+18 0 1 0 0 36 48 86 3.3
+18 0 1 0 0 36 48 88 3.6
+18 0 1 0 0 36 48 90 3.9
+18 0 1 0 0 36 48 92 4.2
+18 0 1 0 0 36 48 94 4.5
+18 0 1 0 0 36 48 96 4.8
+18 0 1 0 0 36 48 98 5.1
+18 0 1 0 0 36 48 100 5.4
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 -1.95
+19 0 2 0 0 36 48 52 -1.8
+19 0 2 0 0 36 48 53 -1.65
+19 0 2 0 0 36 48 54 -1.5
+19 0 2 0 0 36 48 55 -1.35
+19 0 2 0 0 36 48 56 -1.2
+19 0 2 0 0 36 48 57 -1.05
+19 0 2 0 0 36 48 58 -0.9
+19 0 2 0 0 36 48 59 -0.75
+19 0 2 0 0 36 48 60 -0.6
+19 0 2 0 0 36 48 61 -0.45
+19 0 2 0 0 36 48 62 -0.3
+19 0 2 0 0 36 48 63 -0.15
+19 0 2 0 0 36 48 64 0
+19 0 2 0 0 36 48 65 0.15
+19 0 2 0 0 36 48 66 0.3
+19 0 2 0 0 36 48 67 0.45
+19 0 2 0 0 36 48 68 0.6
+19 0 2 0 0 36 48 69 0.75
+19 0 2 0 0 36 48 70 0.9
+19 0 2 0 0 36 48 71 1.05
+19 0 2 0 0 36 48 72 1.2
+19 0 2 0 0 36 48 73 1.35
+19 0 2 0 0 36 48 74 1.5
+19 0 2 0 0 36 48 75 1.65
+19 0 2 0 0 36 48 76 1.8
+19 0 2 0 0 36 48 77 1.95
+19 0 2 0 0 36 48 78 2.1
+19 0 2 0 0 36 48 79 2.25
+19 0 2 0 0 36 48 80 2.4
+19 0 2 0 0 36 48 81 2.55
+19 0 2 0 0 36 48 82 2.7
+19 0 2 0 0 36 48 83 2.85
+19 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 -1.95
+20 0 2 0 0 36 48 52 -1.8
+20 0 2 0 0 36 48 53 -1.65
+20 0 2 0 0 36 48 54 -1.5
+20 0 2 0 0 36 48 55 -1.35
+20 0 2 0 0 36 48 56 -1.2
+20 0 2 0 0 36 48 57 -1.05
+20 0 2 0 0 36 48 58 -0.9
+20 0 2 0 0 36 48 59 -0.75
+20 0 2 0 0 36 48 60 -0.6
+20 0 2 0 0 36 48 61 -0.45
+20 0 2 0 0 36 48 62 -0.3
+20 0 2 0 0 36 48 63 -0.15
+20 0 2 0 0 36 48 64 0
+20 0 2 0 0 36 48 65 0.15
+20 0 2 0 0 36 48 66 0.3
+20 0 2 0 0 36 48 67 0.45
+20 0 2 0 0 36 48 68 0.6
+20 0 2 0 0 36 48 69 0.75
+20 0 2 0 0 36 48 70 0.9
+20 0 2 0 0 36 48 71 1.05
+20 0 2 0 0 36 48 72 1.2
+20 0 2 0 0 36 48 73 1.35
+20 0 2 0 0 36 48 74 1.5
+20 0 2 0 0 36 48 75 1.65
+20 0 2 0 0 36 48 76 1.8
+20 0 2 0 0 36 48 77 1.95
+20 0 2 0 0 36 48 78 2.1
+20 0 2 0 0 36 48 79 2.25
+20 0 2 0 0 36 48 80 2.4
+20 0 2 0 0 36 48 81 2.55
+20 0 2 0 0 36 48 82 2.7
+20 0 2 0 0 36 48 83 2.85
+20 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 -4.5
+20 0 1 0 0 36 48 36 -4.2
+20 0 1 0 0 36 48 38 -3.9
+20 0 1 0 0 36 48 40 -3.6
+20 0 1 0 0 36 48 42 -3.3
+20 0 1 0 0 36 48 44 -3
+20 0 1 0 0 36 48 46 -2.7
+20 0 1 0 0 36 48 48 -2.4
+20 0 1 0 0 36 48 50 -2.1
+20 0 1 0 0 36 48 52 -1.8
+20 0 1 0 0 36 48 54 -1.5
+20 0 1 0 0 36 48 56 -1.2
+20 0 1 0 0 36 48 58 -0.9
+20 0 1 0 0 36 48 60 -0.6
+20 0 1 0 0 36 48 62 -0.3
+20 0 1 0 0 36 48 64 0
+20 0 1 0 0 36 48 66 0.3
+20 0 1 0 0 36 48 68 0.6
+20 0 1 0 0 36 48 70 0.9
+20 0 1 0 0 36 48 72 1.2
+20 0 1 0 0 36 48 74 1.5
+20 0 1 0 0 36 48 76 1.8
+20 0 1 0 0 36 48 78 2.1
+20 0 1 0 0 36 48 80 2.4
+20 0 1 0 0 36 48 82 2.7
+20 0 1 0 0 36 48 84 3
+20 0 1 0 0 36 48 86 3.3
+20 0 1 0 0 36 48 88 3.6
+20 0 1 0 0 36 48 90 3.9
+20 0 1 0 0 36 48 92 4.2
+20 0 1 0 0 36 48 94 4.5
+20 0 1 0 0 36 48 96 4.8
+20 0 1 0 0 36 48 98 5.1
+20 0 1 0 0 36 48 100 5.4
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 -9.6
+20 0 0 0 0 36 48 4 -9
+20 0 0 0 0 36 48 8 -8.4
+20 0 0 0 0 36 48 12 -7.8
+20 0 0 0 0 36 48 16 -7.2
+20 0 0 0 0 36 48 20 -6.6
+20 0 0 0 0 36 48 24 -6
+20 0 0 0 0 36 48 28 -5.4
+20 0 0 0 0 36 48 32 -4.8
+20 0 0 0 0 36 48 36 -4.2
+20 0 0 0 0 36 48 40 -3.6
+20 0 0 0 0 36 48 44 -3
+20 0 0 0 0 36 48 48 -2.4
+20 0 0 0 0 36 48 52 -1.8
+20 0 0 0 0 36 48 56 -1.2
+20 0 0 0 0 36 48 60 -0.6
+20 0 0 0 0 36 48 64 0
+20 0 0 0 0 36 48 68 0.6
+20 0 0 0 0 36 48 72 1.2
+20 0 0 0 0 36 48 76 1.8
+20 0 0 0 0 36 48 80 2.4
+20 0 0 0 0 36 48 84 3
+20 0 0 0 0 36 48 88 3.6
+20 0 0 0 0 36 48 92 4.2
+20 0 0 0 0 36 48 96 4.8
+20 0 0 0 0 36 48 100 5.4
+20 0 0 0 0 36 48 104 6
+20 0 0 0 0 36 48 108 6.6
+20 0 0 0 0 36 48 112 7.2
+20 0 0 0 0 36 48 116 7.8
+20 0 0 0 0 36 48 120 8.4
+20 0 0 0 0 36 48 124 9
+20 0 0 0 0 36 48 128 9.6
+20 0 0 0 0 36 48 132 10.2
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 -1.95
+21 0 2 0 0 36 48 52 -1.8
+21 0 2 0 0 36 48 53 -1.65
+21 0 2 0 0 36 48 54 -1.5
+21 0 2 0 0 36 48 55 -1.35
+21 0 2 0 0 36 48 56 -1.2
+21 0 2 0 0 36 48 57 -1.05
+21 0 2 0 0 36 48 58 -0.9
+21 0 2 0 0 36 48 59 -0.75
+21 0 2 0 0 36 48 60 -0.6
+21 0 2 0 0 36 48 61 -0.45
+21 0 2 0 0 36 48 62 -0.3
+21 0 2 0 0 36 48 63 -0.15
+21 0 2 0 0 36 48 64 0
+21 0 2 0 0 36 48 65 0.15
+21 0 2 0 0 36 48 66 0.3
+21 0 2 0 0 36 48 67 0.45
+21 0 2 0 0 36 48 68 0.6
+21 0 2 0 0 36 48 69 0.75
+21 0 2 0 0 36 48 70 0.9
+21 0 2 0 0 36 48 71 1.05
+21 0 2 0 0 36 48 72 1.2
+21 0 2 0 0 36 48 73 1.35
+21 0 2 0 0 36 48 74 1.5
+21 0 2 0 0 36 48 75 1.65
+21 0 2 0 0 36 48 76 1.8
+21 0 2 0 0 36 48 77 1.95
+21 0 2 0 0 36 48 78 2.1
+21 0 2 0 0 36 48 79 2.25
+21 0 2 0 0 36 48 80 2.4
+21 0 2 0 0 36 48 81 2.55
+21 0 2 0 0 36 48 82 2.7
+21 0 2 0 0 36 48 83 2.85
+21 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 -1.95
+22 0 2 0 0 36 48 52 -1.8
+22 0 2 0 0 36 48 53 -1.65
+22 0 2 0 0 36 48 54 -1.5
+22 0 2 0 0 36 48 55 -1.35
+22 0 2 0 0 36 48 56 -1.2
+22 0 2 0 0 36 48 57 -1.05
+22 0 2 0 0 36 48 58 -0.9
+22 0 2 0 0 36 48 59 -0.75
+22 0 2 0 0 36 48 60 -0.6
+22 0 2 0 0 36 48 61 -0.45
+22 0 2 0 0 36 48 62 -0.3
+22 0 2 0 0 36 48 63 -0.15
+22 0 2 0 0 36 48 64 0
+22 0 2 0 0 36 48 65 0.15
+22 0 2 0 0 36 48 66 0.3
+22 0 2 0 0 36 48 67 0.45
+22 0 2 0 0 36 48 68 0.6
+22 0 2 0 0 36 48 69 0.75
+22 0 2 0 0 36 48 70 0.9
+22 0 2 0 0 36 48 71 1.05
+22 0 2 0 0 36 48 72 1.2
+22 0 2 0 0 36 48 73 1.35
+22 0 2 0 0 36 48 74 1.5
+22 0 2 0 0 36 48 75 1.65
+22 0 2 0 0 36 48 76 1.8
+22 0 2 0 0 36 48 77 1.95
+22 0 2 0 0 36 48 78 2.1
+22 0 2 0 0 36 48 79 2.25
+22 0 2 0 0 36 48 80 2.4
+22 0 2 0 0 36 48 81 2.55
+22 0 2 0 0 36 48 82 2.7
+22 0 2 0 0 36 48 83 2.85
+22 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 -4.5
+22 0 1 0 0 36 48 36 -4.2
+22 0 1 0 0 36 48 38 -3.9
+22 0 1 0 0 36 48 40 -3.6
+22 0 1 0 0 36 48 42 -3.3
+22 0 1 0 0 36 48 44 -3
+22 0 1 0 0 36 48 46 -2.7
+22 0 1 0 0 36 48 48 -2.4
+22 0 1 0 0 36 48 50 -2.1
+22 0 1 0 0 36 48 52 -1.8
+22 0 1 0 0 36 48 54 -1.5
+22 0 1 0 0 36 48 56 -1.2
+22 0 1 0 0 36 48 58 -0.9
+22 0 1 0 0 36 48 60 -0.6
+22 0 1 0 0 36 48 62 -0.3
+22 0 1 0 0 36 48 64 0
+22 0 1 0 0 36 48 66 0.3
+22 0 1 0 0 36 48 68 0.6
+22 0 1 0 0 36 48 70 0.9
+22 0 1 0 0 36 48 72 1.2
+22 0 1 0 0 36 48 74 1.5
+22 0 1 0 0 36 48 76 1.8
+22 0 1 0 0 36 48 78 2.1
+22 0 1 0 0 36 48 80 2.4
+22 0 1 0 0 36 48 82 2.7
+22 0 1 0 0 36 48 84 3
+22 0 1 0 0 36 48 86 3.3
+22 0 1 0 0 36 48 88 3.6
+22 0 1 0 0 36 48 90 3.9
+22 0 1 0 0 36 48 92 4.2
+22 0 1 0 0 36 48 94 4.5
+22 0 1 0 0 36 48 96 4.8
+22 0 1 0 0 36 48 98 5.1
+22 0 1 0 0 36 48 100 5.4
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 -1.95
+23 0 2 0 0 36 48 52 -1.8
+23 0 2 0 0 36 48 53 -1.65
+23 0 2 0 0 36 48 54 -1.5
+23 0 2 0 0 36 48 55 -1.35
+23 0 2 0 0 36 48 56 -1.2
+23 0 2 0 0 36 48 57 -1.05
+23 0 2 0 0 36 48 58 -0.9
+23 0 2 0 0 36 48 59 -0.75
+23 0 2 0 0 36 48 60 -0.6
+23 0 2 0 0 36 48 61 -0.45
+23 0 2 0 0 36 48 62 -0.3
+23 0 2 0 0 36 48 63 -0.15
+23 0 2 0 0 36 48 64 0
+23 0 2 0 0 36 48 65 0.15
+23 0 2 0 0 36 48 66 0.3
+23 0 2 0 0 36 48 67 0.45
+23 0 2 0 0 36 48 68 0.6
+23 0 2 0 0 36 48 69 0.75
+23 0 2 0 0 36 48 70 0.9
+23 0 2 0 0 36 48 71 1.05
+23 0 2 0 0 36 48 72 1.2
+23 0 2 0 0 36 48 73 1.35
+23 0 2 0 0 36 48 74 1.5
+23 0 2 0 0 36 48 75 1.65
+23 0 2 0 0 36 48 76 1.8
+23 0 2 0 0 36 48 77 1.95
+23 0 2 0 0 36 48 78 2.1
+23 0 2 0 0 36 48 79 2.25
+23 0 2 0 0 36 48 80 2.4
+23 0 2 0 0 36 48 81 2.55
+23 0 2 0 0 36 48 82 2.7
+23 0 2 0 0 36 48 83 2.85
+23 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 -1.95
+24 0 2 0 0 36 48 52 -1.8
+24 0 2 0 0 36 48 53 -1.65
+24 0 2 0 0 36 48 54 -1.5
+24 0 2 0 0 36 48 55 -1.35
+24 0 2 0 0 36 48 56 -1.2
+24 0 2 0 0 36 48 57 -1.05
+24 0 2 0 0 36 48 58 -0.9
+24 0 2 0 0 36 48 59 -0.75
+24 0 2 0 0 36 48 60 -0.6
+24 0 2 0 0 36 48 61 -0.45
+24 0 2 0 0 36 48 62 -0.3
+24 0 2 0 0 36 48 63 -0.15
+24 0 2 0 0 36 48 64 0
+24 0 2 0 0 36 48 65 0.15
+24 0 2 0 0 36 48 66 0.3
+24 0 2 0 0 36 48 67 0.45
+24 0 2 0 0 36 48 68 0.6
+24 0 2 0 0 36 48 69 0.75
+24 0 2 0 0 36 48 70 0.9
+24 0 2 0 0 36 48 71 1.05
+24 0 2 0 0 36 48 72 1.2
+24 0 2 0 0 36 48 73 1.35
+24 0 2 0 0 36 48 74 1.5
+24 0 2 0 0 36 48 75 1.65
+24 0 2 0 0 36 48 76 1.8
+24 0 2 0 0 36 48 77 1.95
+24 0 2 0 0 36 48 78 2.1
+24 0 2 0 0 36 48 79 2.25
+24 0 2 0 0 36 48 80 2.4
+24 0 2 0 0 36 48 81 2.55
+24 0 2 0 0 36 48 82 2.7
+24 0 2 0 0 36 48 83 2.85
+24 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 -4.5
+24 0 1 0 0 36 48 36 -4.2
+24 0 1 0 0 36 48 38 -3.9
+24 0 1 0 0 36 48 40 -3.6
+24 0 1 0 0 36 48 42 -3.3
+24 0 1 0 0 36 48 44 -3
+24 0 1 0 0 36 48 46 -2.7
+24 0 1 0 0 36 48 48 -2.4
+24 0 1 0 0 36 48 50 -2.1
+24 0 1 0 0 36 48 52 -1.8
+24 0 1 0 0 36 48 54 -1.5
+24 0 1 0 0 36 48 56 -1.2
+24 0 1 0 0 36 48 58 -0.9
+24 0 1 0 0 36 48 60 -0.6
+24 0 1 0 0 36 48 62 -0.3
+24 0 1 0 0 36 48 64 0
+24 0 1 0 0 36 48 66 0.3
+24 0 1 0 0 36 48 68 0.6
+24 0 1 0 0 36 48 70 0.9
+24 0 1 0 0 36 48 72 1.2
+24 0 1 0 0 36 48 74 1.5
+24 0 1 0 0 36 48 76 1.8
+24 0 1 0 0 36 48 78 2.1
+24 0 1 0 0 36 48 80 2.4
+24 0 1 0 0 36 48 82 2.7
+24 0 1 0 0 36 48 84 3
+24 0 1 0 0 36 48 86 3.3
+24 0 1 0 0 36 48 88 3.6
+24 0 1 0 0 36 48 90 3.9
+24 0 1 0 0 36 48 92 4.2
+24 0 1 0 0 36 48 94 4.5
+24 0 1 0 0 36 48 96 4.8
+24 0 1 0 0 36 48 98 5.1
+24 0 1 0 0 36 48 100 5.4
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 -9.6
+24 0 0 0 0 36 48 4 -9
+24 0 0 0 0 36 48 8 -8.4
+24 0 0 0 0 36 48 12 -7.8
+24 0 0 0 0 36 48 16 -7.2
+24 0 0 0 0 36 48 20 -6.6
+24 0 0 0 0 36 48 24 -6
+24 0 0 0 0 36 48 28 -5.4
+24 0 0 0 0 36 48 32 -4.8
+24 0 0 0 0 36 48 36 -4.2
+24 0 0 0 0 36 48 40 -3.6
+24 0 0 0 0 36 48 44 -3
+24 0 0 0 0 36 48 48 -2.4
+24 0 0 0 0 36 48 52 -1.8
+24 0 0 0 0 36 48 56 -1.2
+24 0 0 0 0 36 48 60 -0.6
+24 0 0 0 0 36 48 64 0
+24 0 0 0 0 36 48 68 0.6
+24 0 0 0 0 36 48 72 1.2
+24 0 0 0 0 36 48 76 1.8
+24 0 0 0 0 36 48 80 2.4
+24 0 0 0 0 36 48 84 3
+24 0 0 0 0 36 48 88 3.6
+24 0 0 0 0 36 48 92 4.2
+24 0 0 0 0 36 48 96 4.8
+24 0 0 0 0 36 48 100 5.4
+24 0 0 0 0 36 48 104 6
+24 0 0 0 0 36 48 108 6.6
+24 0 0 0 0 36 48 112 7.2
+24 0 0 0 0 36 48 116 7.8
+24 0 0 0 0 36 48 120 8.4
+24 0 0 0 0 36 48 124 9
+24 0 0 0 0 36 48 128 9.6
+24 0 0 0 0 36 48 132 10.2
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.xl
new file mode 100644
index 000000000..c3584db3f
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.xl
@@ -0,0 +1,1082 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 1.35
+0 0 2 0 0 28 48 64 1.2
+0 0 2 0 0 29 48 64 1.05
+0 0 2 0 0 30 48 64 0.9
+0 0 2 0 0 31 48 64 0.75
+0 0 2 0 0 32 48 64 0.6
+0 0 2 0 0 33 48 64 0.45
+0 0 2 0 0 34 48 64 0.3
+0 0 2 0 0 35 48 64 0.15
+0 0 2 0 0 36 48 64 6.2803698347351e-16
+0 0 2 0 0 37 48 64 0.15
+0 0 2 0 0 38 48 64 0.3
+0 0 2 0 0 39 48 64 0.450000000000001
+0 0 2 0 0 40 48 64 0.600000000000001
+0 0 2 0 0 41 48 64 0.750000000000001
+0 0 2 0 0 42 48 64 0.900000000000001
+0 0 2 0 0 43 48 64 1.05
+0 0 2 0 0 44 48 64 1.2
+0 0 2 0 0 45 48 64 1.35
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 2.7
+0 0 1 0 0 20 48 64 2.4
+0 0 1 0 0 22 48 64 2.1
+0 0 1 0 0 24 48 64 1.8
+0 0 1 0 0 26 48 64 1.5
+0 0 1 0 0 28 48 64 1.2
+0 0 1 0 0 30 48 64 0.9
+0 0 1 0 0 32 48 64 0.6
+0 0 1 0 0 34 48 64 0.3
+0 0 1 0 0 36 48 64 6.2803698347351e-16
+0 0 1 0 0 38 48 64 0.3
+0 0 1 0 0 40 48 64 0.600000000000001
+0 0 1 0 0 42 48 64 0.900000000000001
+0 0 1 0 0 44 48 64 1.2
+0 0 1 0 0 46 48 64 1.5
+0 0 1 0 0 48 48 64 1.8
+0 0 1 0 0 50 48 64 2.1
+0 0 1 0 0 52 48 64 2.4
+0 0 1 0 0 54 48 64 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 5.4
+0 0 0 0 0 4 48 64 4.8
+0 0 0 0 0 8 48 64 4.2
+0 0 0 0 0 12 48 64 3.6
+0 0 0 0 0 16 48 64 3
+0 0 0 0 0 20 48 64 2.4
+0 0 0 0 0 24 48 64 1.8
+0 0 0 0 0 28 48 64 1.2
+0 0 0 0 0 32 48 64 0.6
+0 0 0 0 0 36 48 64 6.2803698347351e-16
+0 0 0 0 0 40 48 64 0.600000000000001
+0 0 0 0 0 44 48 64 1.2
+0 0 0 0 0 48 48 64 1.8
+0 0 0 0 0 52 48 64 2.4
+0 0 0 0 0 56 48 64 3
+0 0 0 0 0 60 48 64 3.6
+0 0 0 0 0 64 48 64 4.2
+0 0 0 0 0 68 48 64 4.8
+0 0 0 0 0 72 48 64 5.4
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 1.35
+1 0 2 0 0 28 48 64 1.2
+1 0 2 0 0 29 48 64 1.05
+1 0 2 0 0 30 48 64 0.9
+1 0 2 0 0 31 48 64 0.75
+1 0 2 0 0 32 48 64 0.6
+1 0 2 0 0 33 48 64 0.45
+1 0 2 0 0 34 48 64 0.3
+1 0 2 0 0 35 48 64 0.15
+1 0 2 0 0 36 48 64 6.2803698347351e-16
+1 0 2 0 0 37 48 64 0.15
+1 0 2 0 0 38 48 64 0.3
+1 0 2 0 0 39 48 64 0.450000000000001
+1 0 2 0 0 40 48 64 0.600000000000001
+1 0 2 0 0 41 48 64 0.750000000000001
+1 0 2 0 0 42 48 64 0.900000000000001
+1 0 2 0 0 43 48 64 1.05
+1 0 2 0 0 44 48 64 1.2
+1 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 1.35
+2 0 2 0 0 28 48 64 1.2
+2 0 2 0 0 29 48 64 1.05
+2 0 2 0 0 30 48 64 0.9
+2 0 2 0 0 31 48 64 0.75
+2 0 2 0 0 32 48 64 0.6
+2 0 2 0 0 33 48 64 0.45
+2 0 2 0 0 34 48 64 0.3
+2 0 2 0 0 35 48 64 0.15
+2 0 2 0 0 36 48 64 6.2803698347351e-16
+2 0 2 0 0 37 48 64 0.15
+2 0 2 0 0 38 48 64 0.3
+2 0 2 0 0 39 48 64 0.450000000000001
+2 0 2 0 0 40 48 64 0.600000000000001
+2 0 2 0 0 41 48 64 0.750000000000001
+2 0 2 0 0 42 48 64 0.900000000000001
+2 0 2 0 0 43 48 64 1.05
+2 0 2 0 0 44 48 64 1.2
+2 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 2.7
+2 0 1 0 0 20 48 64 2.4
+2 0 1 0 0 22 48 64 2.1
+2 0 1 0 0 24 48 64 1.8
+2 0 1 0 0 26 48 64 1.5
+2 0 1 0 0 28 48 64 1.2
+2 0 1 0 0 30 48 64 0.9
+2 0 1 0 0 32 48 64 0.6
+2 0 1 0 0 34 48 64 0.3
+2 0 1 0 0 36 48 64 6.2803698347351e-16
+2 0 1 0 0 38 48 64 0.3
+2 0 1 0 0 40 48 64 0.600000000000001
+2 0 1 0 0 42 48 64 0.900000000000001
+2 0 1 0 0 44 48 64 1.2
+2 0 1 0 0 46 48 64 1.5
+2 0 1 0 0 48 48 64 1.8
+2 0 1 0 0 50 48 64 2.1
+2 0 1 0 0 52 48 64 2.4
+2 0 1 0 0 54 48 64 2.7
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 1.35
+3 0 2 0 0 28 48 64 1.2
+3 0 2 0 0 29 48 64 1.05
+3 0 2 0 0 30 48 64 0.9
+3 0 2 0 0 31 48 64 0.75
+3 0 2 0 0 32 48 64 0.6
+3 0 2 0 0 33 48 64 0.45
+3 0 2 0 0 34 48 64 0.3
+3 0 2 0 0 35 48 64 0.15
+3 0 2 0 0 36 48 64 6.2803698347351e-16
+3 0 2 0 0 37 48 64 0.15
+3 0 2 0 0 38 48 64 0.3
+3 0 2 0 0 39 48 64 0.450000000000001
+3 0 2 0 0 40 48 64 0.600000000000001
+3 0 2 0 0 41 48 64 0.750000000000001
+3 0 2 0 0 42 48 64 0.900000000000001
+3 0 2 0 0 43 48 64 1.05
+3 0 2 0 0 44 48 64 1.2
+3 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 1.35
+4 0 2 0 0 28 48 64 1.2
+4 0 2 0 0 29 48 64 1.05
+4 0 2 0 0 30 48 64 0.9
+4 0 2 0 0 31 48 64 0.75
+4 0 2 0 0 32 48 64 0.6
+4 0 2 0 0 33 48 64 0.45
+4 0 2 0 0 34 48 64 0.3
+4 0 2 0 0 35 48 64 0.15
+4 0 2 0 0 36 48 64 6.2803698347351e-16
+4 0 2 0 0 37 48 64 0.15
+4 0 2 0 0 38 48 64 0.3
+4 0 2 0 0 39 48 64 0.450000000000001
+4 0 2 0 0 40 48 64 0.600000000000001
+4 0 2 0 0 41 48 64 0.750000000000001
+4 0 2 0 0 42 48 64 0.900000000000001
+4 0 2 0 0 43 48 64 1.05
+4 0 2 0 0 44 48 64 1.2
+4 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 2.7
+4 0 1 0 0 20 48 64 2.4
+4 0 1 0 0 22 48 64 2.1
+4 0 1 0 0 24 48 64 1.8
+4 0 1 0 0 26 48 64 1.5
+4 0 1 0 0 28 48 64 1.2
+4 0 1 0 0 30 48 64 0.9
+4 0 1 0 0 32 48 64 0.6
+4 0 1 0 0 34 48 64 0.3
+4 0 1 0 0 36 48 64 6.2803698347351e-16
+4 0 1 0 0 38 48 64 0.3
+4 0 1 0 0 40 48 64 0.600000000000001
+4 0 1 0 0 42 48 64 0.900000000000001
+4 0 1 0 0 44 48 64 1.2
+4 0 1 0 0 46 48 64 1.5
+4 0 1 0 0 48 48 64 1.8
+4 0 1 0 0 50 48 64 2.1
+4 0 1 0 0 52 48 64 2.4
+4 0 1 0 0 54 48 64 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 5.4
+4 0 0 0 0 4 48 64 4.8
+4 0 0 0 0 8 48 64 4.2
+4 0 0 0 0 12 48 64 3.6
+4 0 0 0 0 16 48 64 3
+4 0 0 0 0 20 48 64 2.4
+4 0 0 0 0 24 48 64 1.8
+4 0 0 0 0 28 48 64 1.2
+4 0 0 0 0 32 48 64 0.6
+4 0 0 0 0 36 48 64 6.2803698347351e-16
+4 0 0 0 0 40 48 64 0.600000000000001
+4 0 0 0 0 44 48 64 1.2
+4 0 0 0 0 48 48 64 1.8
+4 0 0 0 0 52 48 64 2.4
+4 0 0 0 0 56 48 64 3
+4 0 0 0 0 60 48 64 3.6
+4 0 0 0 0 64 48 64 4.2
+4 0 0 0 0 68 48 64 4.8
+4 0 0 0 0 72 48 64 5.4
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 1.35
+5 0 2 0 0 28 48 64 1.2
+5 0 2 0 0 29 48 64 1.05
+5 0 2 0 0 30 48 64 0.9
+5 0 2 0 0 31 48 64 0.75
+5 0 2 0 0 32 48 64 0.6
+5 0 2 0 0 33 48 64 0.45
+5 0 2 0 0 34 48 64 0.3
+5 0 2 0 0 35 48 64 0.15
+5 0 2 0 0 36 48 64 6.2803698347351e-16
+5 0 2 0 0 37 48 64 0.15
+5 0 2 0 0 38 48 64 0.3
+5 0 2 0 0 39 48 64 0.450000000000001
+5 0 2 0 0 40 48 64 0.600000000000001
+5 0 2 0 0 41 48 64 0.750000000000001
+5 0 2 0 0 42 48 64 0.900000000000001
+5 0 2 0 0 43 48 64 1.05
+5 0 2 0 0 44 48 64 1.2
+5 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 1.35
+6 0 2 0 0 28 48 64 1.2
+6 0 2 0 0 29 48 64 1.05
+6 0 2 0 0 30 48 64 0.9
+6 0 2 0 0 31 48 64 0.75
+6 0 2 0 0 32 48 64 0.6
+6 0 2 0 0 33 48 64 0.45
+6 0 2 0 0 34 48 64 0.3
+6 0 2 0 0 35 48 64 0.15
+6 0 2 0 0 36 48 64 6.2803698347351e-16
+6 0 2 0 0 37 48 64 0.15
+6 0 2 0 0 38 48 64 0.3
+6 0 2 0 0 39 48 64 0.450000000000001
+6 0 2 0 0 40 48 64 0.600000000000001
+6 0 2 0 0 41 48 64 0.750000000000001
+6 0 2 0 0 42 48 64 0.900000000000001
+6 0 2 0 0 43 48 64 1.05
+6 0 2 0 0 44 48 64 1.2
+6 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 2.7
+6 0 1 0 0 20 48 64 2.4
+6 0 1 0 0 22 48 64 2.1
+6 0 1 0 0 24 48 64 1.8
+6 0 1 0 0 26 48 64 1.5
+6 0 1 0 0 28 48 64 1.2
+6 0 1 0 0 30 48 64 0.9
+6 0 1 0 0 32 48 64 0.6
+6 0 1 0 0 34 48 64 0.3
+6 0 1 0 0 36 48 64 6.2803698347351e-16
+6 0 1 0 0 38 48 64 0.3
+6 0 1 0 0 40 48 64 0.600000000000001
+6 0 1 0 0 42 48 64 0.900000000000001
+6 0 1 0 0 44 48 64 1.2
+6 0 1 0 0 46 48 64 1.5
+6 0 1 0 0 48 48 64 1.8
+6 0 1 0 0 50 48 64 2.1
+6 0 1 0 0 52 48 64 2.4
+6 0 1 0 0 54 48 64 2.7
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 1.35
+7 0 2 0 0 28 48 64 1.2
+7 0 2 0 0 29 48 64 1.05
+7 0 2 0 0 30 48 64 0.9
+7 0 2 0 0 31 48 64 0.75
+7 0 2 0 0 32 48 64 0.6
+7 0 2 0 0 33 48 64 0.45
+7 0 2 0 0 34 48 64 0.3
+7 0 2 0 0 35 48 64 0.15
+7 0 2 0 0 36 48 64 6.2803698347351e-16
+7 0 2 0 0 37 48 64 0.15
+7 0 2 0 0 38 48 64 0.3
+7 0 2 0 0 39 48 64 0.450000000000001
+7 0 2 0 0 40 48 64 0.600000000000001
+7 0 2 0 0 41 48 64 0.750000000000001
+7 0 2 0 0 42 48 64 0.900000000000001
+7 0 2 0 0 43 48 64 1.05
+7 0 2 0 0 44 48 64 1.2
+7 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 1.35
+8 0 2 0 0 28 48 64 1.2
+8 0 2 0 0 29 48 64 1.05
+8 0 2 0 0 30 48 64 0.9
+8 0 2 0 0 31 48 64 0.75
+8 0 2 0 0 32 48 64 0.6
+8 0 2 0 0 33 48 64 0.45
+8 0 2 0 0 34 48 64 0.3
+8 0 2 0 0 35 48 64 0.15
+8 0 2 0 0 36 48 64 6.2803698347351e-16
+8 0 2 0 0 37 48 64 0.15
+8 0 2 0 0 38 48 64 0.3
+8 0 2 0 0 39 48 64 0.450000000000001
+8 0 2 0 0 40 48 64 0.600000000000001
+8 0 2 0 0 41 48 64 0.750000000000001
+8 0 2 0 0 42 48 64 0.900000000000001
+8 0 2 0 0 43 48 64 1.05
+8 0 2 0 0 44 48 64 1.2
+8 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 2.7
+8 0 1 0 0 20 48 64 2.4
+8 0 1 0 0 22 48 64 2.1
+8 0 1 0 0 24 48 64 1.8
+8 0 1 0 0 26 48 64 1.5
+8 0 1 0 0 28 48 64 1.2
+8 0 1 0 0 30 48 64 0.9
+8 0 1 0 0 32 48 64 0.6
+8 0 1 0 0 34 48 64 0.3
+8 0 1 0 0 36 48 64 6.2803698347351e-16
+8 0 1 0 0 38 48 64 0.3
+8 0 1 0 0 40 48 64 0.600000000000001
+8 0 1 0 0 42 48 64 0.900000000000001
+8 0 1 0 0 44 48 64 1.2
+8 0 1 0 0 46 48 64 1.5
+8 0 1 0 0 48 48 64 1.8
+8 0 1 0 0 50 48 64 2.1
+8 0 1 0 0 52 48 64 2.4
+8 0 1 0 0 54 48 64 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 5.4
+8 0 0 0 0 4 48 64 4.8
+8 0 0 0 0 8 48 64 4.2
+8 0 0 0 0 12 48 64 3.6
+8 0 0 0 0 16 48 64 3
+8 0 0 0 0 20 48 64 2.4
+8 0 0 0 0 24 48 64 1.8
+8 0 0 0 0 28 48 64 1.2
+8 0 0 0 0 32 48 64 0.6
+8 0 0 0 0 36 48 64 6.2803698347351e-16
+8 0 0 0 0 40 48 64 0.600000000000001
+8 0 0 0 0 44 48 64 1.2
+8 0 0 0 0 48 48 64 1.8
+8 0 0 0 0 52 48 64 2.4
+8 0 0 0 0 56 48 64 3
+8 0 0 0 0 60 48 64 3.6
+8 0 0 0 0 64 48 64 4.2
+8 0 0 0 0 68 48 64 4.8
+8 0 0 0 0 72 48 64 5.4
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 1.35
+9 0 2 0 0 28 48 64 1.2
+9 0 2 0 0 29 48 64 1.05
+9 0 2 0 0 30 48 64 0.9
+9 0 2 0 0 31 48 64 0.75
+9 0 2 0 0 32 48 64 0.6
+9 0 2 0 0 33 48 64 0.45
+9 0 2 0 0 34 48 64 0.3
+9 0 2 0 0 35 48 64 0.15
+9 0 2 0 0 36 48 64 6.2803698347351e-16
+9 0 2 0 0 37 48 64 0.15
+9 0 2 0 0 38 48 64 0.3
+9 0 2 0 0 39 48 64 0.450000000000001
+9 0 2 0 0 40 48 64 0.600000000000001
+9 0 2 0 0 41 48 64 0.750000000000001
+9 0 2 0 0 42 48 64 0.900000000000001
+9 0 2 0 0 43 48 64 1.05
+9 0 2 0 0 44 48 64 1.2
+9 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 1.35
+10 0 2 0 0 28 48 64 1.2
+10 0 2 0 0 29 48 64 1.05
+10 0 2 0 0 30 48 64 0.9
+10 0 2 0 0 31 48 64 0.75
+10 0 2 0 0 32 48 64 0.6
+10 0 2 0 0 33 48 64 0.45
+10 0 2 0 0 34 48 64 0.3
+10 0 2 0 0 35 48 64 0.15
+10 0 2 0 0 36 48 64 6.2803698347351e-16
+10 0 2 0 0 37 48 64 0.15
+10 0 2 0 0 38 48 64 0.3
+10 0 2 0 0 39 48 64 0.450000000000001
+10 0 2 0 0 40 48 64 0.600000000000001
+10 0 2 0 0 41 48 64 0.750000000000001
+10 0 2 0 0 42 48 64 0.900000000000001
+10 0 2 0 0 43 48 64 1.05
+10 0 2 0 0 44 48 64 1.2
+10 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 2.7
+10 0 1 0 0 20 48 64 2.4
+10 0 1 0 0 22 48 64 2.1
+10 0 1 0 0 24 48 64 1.8
+10 0 1 0 0 26 48 64 1.5
+10 0 1 0 0 28 48 64 1.2
+10 0 1 0 0 30 48 64 0.9
+10 0 1 0 0 32 48 64 0.6
+10 0 1 0 0 34 48 64 0.3
+10 0 1 0 0 36 48 64 6.2803698347351e-16
+10 0 1 0 0 38 48 64 0.3
+10 0 1 0 0 40 48 64 0.600000000000001
+10 0 1 0 0 42 48 64 0.900000000000001
+10 0 1 0 0 44 48 64 1.2
+10 0 1 0 0 46 48 64 1.5
+10 0 1 0 0 48 48 64 1.8
+10 0 1 0 0 50 48 64 2.1
+10 0 1 0 0 52 48 64 2.4
+10 0 1 0 0 54 48 64 2.7
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 1.35
+11 0 2 0 0 28 48 64 1.2
+11 0 2 0 0 29 48 64 1.05
+11 0 2 0 0 30 48 64 0.9
+11 0 2 0 0 31 48 64 0.75
+11 0 2 0 0 32 48 64 0.6
+11 0 2 0 0 33 48 64 0.45
+11 0 2 0 0 34 48 64 0.3
+11 0 2 0 0 35 48 64 0.15
+11 0 2 0 0 36 48 64 6.2803698347351e-16
+11 0 2 0 0 37 48 64 0.15
+11 0 2 0 0 38 48 64 0.3
+11 0 2 0 0 39 48 64 0.450000000000001
+11 0 2 0 0 40 48 64 0.600000000000001
+11 0 2 0 0 41 48 64 0.750000000000001
+11 0 2 0 0 42 48 64 0.900000000000001
+11 0 2 0 0 43 48 64 1.05
+11 0 2 0 0 44 48 64 1.2
+11 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 1.35
+12 0 2 0 0 28 48 64 1.2
+12 0 2 0 0 29 48 64 1.05
+12 0 2 0 0 30 48 64 0.9
+12 0 2 0 0 31 48 64 0.75
+12 0 2 0 0 32 48 64 0.6
+12 0 2 0 0 33 48 64 0.45
+12 0 2 0 0 34 48 64 0.3
+12 0 2 0 0 35 48 64 0.15
+12 0 2 0 0 36 48 64 6.2803698347351e-16
+12 0 2 0 0 37 48 64 0.15
+12 0 2 0 0 38 48 64 0.3
+12 0 2 0 0 39 48 64 0.450000000000001
+12 0 2 0 0 40 48 64 0.600000000000001
+12 0 2 0 0 41 48 64 0.750000000000001
+12 0 2 0 0 42 48 64 0.900000000000001
+12 0 2 0 0 43 48 64 1.05
+12 0 2 0 0 44 48 64 1.2
+12 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 2.7
+12 0 1 0 0 20 48 64 2.4
+12 0 1 0 0 22 48 64 2.1
+12 0 1 0 0 24 48 64 1.8
+12 0 1 0 0 26 48 64 1.5
+12 0 1 0 0 28 48 64 1.2
+12 0 1 0 0 30 48 64 0.9
+12 0 1 0 0 32 48 64 0.6
+12 0 1 0 0 34 48 64 0.3
+12 0 1 0 0 36 48 64 6.2803698347351e-16
+12 0 1 0 0 38 48 64 0.3
+12 0 1 0 0 40 48 64 0.600000000000001
+12 0 1 0 0 42 48 64 0.900000000000001
+12 0 1 0 0 44 48 64 1.2
+12 0 1 0 0 46 48 64 1.5
+12 0 1 0 0 48 48 64 1.8
+12 0 1 0 0 50 48 64 2.1
+12 0 1 0 0 52 48 64 2.4
+12 0 1 0 0 54 48 64 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 5.4
+12 0 0 0 0 4 48 64 4.8
+12 0 0 0 0 8 48 64 4.2
+12 0 0 0 0 12 48 64 3.6
+12 0 0 0 0 16 48 64 3
+12 0 0 0 0 20 48 64 2.4
+12 0 0 0 0 24 48 64 1.8
+12 0 0 0 0 28 48 64 1.2
+12 0 0 0 0 32 48 64 0.6
+12 0 0 0 0 36 48 64 6.2803698347351e-16
+12 0 0 0 0 40 48 64 0.600000000000001
+12 0 0 0 0 44 48 64 1.2
+12 0 0 0 0 48 48 64 1.8
+12 0 0 0 0 52 48 64 2.4
+12 0 0 0 0 56 48 64 3
+12 0 0 0 0 60 48 64 3.6
+12 0 0 0 0 64 48 64 4.2
+12 0 0 0 0 68 48 64 4.8
+12 0 0 0 0 72 48 64 5.4
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 1.35
+13 0 2 0 0 28 48 64 1.2
+13 0 2 0 0 29 48 64 1.05
+13 0 2 0 0 30 48 64 0.9
+13 0 2 0 0 31 48 64 0.75
+13 0 2 0 0 32 48 64 0.6
+13 0 2 0 0 33 48 64 0.45
+13 0 2 0 0 34 48 64 0.3
+13 0 2 0 0 35 48 64 0.15
+13 0 2 0 0 36 48 64 6.2803698347351e-16
+13 0 2 0 0 37 48 64 0.15
+13 0 2 0 0 38 48 64 0.3
+13 0 2 0 0 39 48 64 0.450000000000001
+13 0 2 0 0 40 48 64 0.600000000000001
+13 0 2 0 0 41 48 64 0.750000000000001
+13 0 2 0 0 42 48 64 0.900000000000001
+13 0 2 0 0 43 48 64 1.05
+13 0 2 0 0 44 48 64 1.2
+13 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 1.35
+14 0 2 0 0 28 48 64 1.2
+14 0 2 0 0 29 48 64 1.05
+14 0 2 0 0 30 48 64 0.9
+14 0 2 0 0 31 48 64 0.75
+14 0 2 0 0 32 48 64 0.6
+14 0 2 0 0 33 48 64 0.45
+14 0 2 0 0 34 48 64 0.3
+14 0 2 0 0 35 48 64 0.15
+14 0 2 0 0 36 48 64 6.2803698347351e-16
+14 0 2 0 0 37 48 64 0.15
+14 0 2 0 0 38 48 64 0.3
+14 0 2 0 0 39 48 64 0.450000000000001
+14 0 2 0 0 40 48 64 0.600000000000001
+14 0 2 0 0 41 48 64 0.750000000000001
+14 0 2 0 0 42 48 64 0.900000000000001
+14 0 2 0 0 43 48 64 1.05
+14 0 2 0 0 44 48 64 1.2
+14 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 2.7
+14 0 1 0 0 20 48 64 2.4
+14 0 1 0 0 22 48 64 2.1
+14 0 1 0 0 24 48 64 1.8
+14 0 1 0 0 26 48 64 1.5
+14 0 1 0 0 28 48 64 1.2
+14 0 1 0 0 30 48 64 0.9
+14 0 1 0 0 32 48 64 0.6
+14 0 1 0 0 34 48 64 0.3
+14 0 1 0 0 36 48 64 6.2803698347351e-16
+14 0 1 0 0 38 48 64 0.3
+14 0 1 0 0 40 48 64 0.600000000000001
+14 0 1 0 0 42 48 64 0.900000000000001
+14 0 1 0 0 44 48 64 1.2
+14 0 1 0 0 46 48 64 1.5
+14 0 1 0 0 48 48 64 1.8
+14 0 1 0 0 50 48 64 2.1
+14 0 1 0 0 52 48 64 2.4
+14 0 1 0 0 54 48 64 2.7
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 1.35
+15 0 2 0 0 28 48 64 1.2
+15 0 2 0 0 29 48 64 1.05
+15 0 2 0 0 30 48 64 0.9
+15 0 2 0 0 31 48 64 0.75
+15 0 2 0 0 32 48 64 0.6
+15 0 2 0 0 33 48 64 0.45
+15 0 2 0 0 34 48 64 0.3
+15 0 2 0 0 35 48 64 0.15
+15 0 2 0 0 36 48 64 6.2803698347351e-16
+15 0 2 0 0 37 48 64 0.15
+15 0 2 0 0 38 48 64 0.3
+15 0 2 0 0 39 48 64 0.450000000000001
+15 0 2 0 0 40 48 64 0.600000000000001
+15 0 2 0 0 41 48 64 0.750000000000001
+15 0 2 0 0 42 48 64 0.900000000000001
+15 0 2 0 0 43 48 64 1.05
+15 0 2 0 0 44 48 64 1.2
+15 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 1.35
+16 0 2 0 0 28 48 64 1.2
+16 0 2 0 0 29 48 64 1.05
+16 0 2 0 0 30 48 64 0.9
+16 0 2 0 0 31 48 64 0.75
+16 0 2 0 0 32 48 64 0.6
+16 0 2 0 0 33 48 64 0.45
+16 0 2 0 0 34 48 64 0.3
+16 0 2 0 0 35 48 64 0.15
+16 0 2 0 0 36 48 64 6.2803698347351e-16
+16 0 2 0 0 37 48 64 0.15
+16 0 2 0 0 38 48 64 0.3
+16 0 2 0 0 39 48 64 0.450000000000001
+16 0 2 0 0 40 48 64 0.600000000000001
+16 0 2 0 0 41 48 64 0.750000000000001
+16 0 2 0 0 42 48 64 0.900000000000001
+16 0 2 0 0 43 48 64 1.05
+16 0 2 0 0 44 48 64 1.2
+16 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 2.7
+16 0 1 0 0 20 48 64 2.4
+16 0 1 0 0 22 48 64 2.1
+16 0 1 0 0 24 48 64 1.8
+16 0 1 0 0 26 48 64 1.5
+16 0 1 0 0 28 48 64 1.2
+16 0 1 0 0 30 48 64 0.9
+16 0 1 0 0 32 48 64 0.6
+16 0 1 0 0 34 48 64 0.3
+16 0 1 0 0 36 48 64 6.2803698347351e-16
+16 0 1 0 0 38 48 64 0.3
+16 0 1 0 0 40 48 64 0.600000000000001
+16 0 1 0 0 42 48 64 0.900000000000001
+16 0 1 0 0 44 48 64 1.2
+16 0 1 0 0 46 48 64 1.5
+16 0 1 0 0 48 48 64 1.8
+16 0 1 0 0 50 48 64 2.1
+16 0 1 0 0 52 48 64 2.4
+16 0 1 0 0 54 48 64 2.7
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 5.4
+16 0 0 0 0 4 48 64 4.8
+16 0 0 0 0 8 48 64 4.2
+16 0 0 0 0 12 48 64 3.6
+16 0 0 0 0 16 48 64 3
+16 0 0 0 0 20 48 64 2.4
+16 0 0 0 0 24 48 64 1.8
+16 0 0 0 0 28 48 64 1.2
+16 0 0 0 0 32 48 64 0.6
+16 0 0 0 0 36 48 64 6.2803698347351e-16
+16 0 0 0 0 40 48 64 0.600000000000001
+16 0 0 0 0 44 48 64 1.2
+16 0 0 0 0 48 48 64 1.8
+16 0 0 0 0 52 48 64 2.4
+16 0 0 0 0 56 48 64 3
+16 0 0 0 0 60 48 64 3.6
+16 0 0 0 0 64 48 64 4.2
+16 0 0 0 0 68 48 64 4.8
+16 0 0 0 0 72 48 64 5.4
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 1.35
+17 0 2 0 0 28 48 64 1.2
+17 0 2 0 0 29 48 64 1.05
+17 0 2 0 0 30 48 64 0.9
+17 0 2 0 0 31 48 64 0.75
+17 0 2 0 0 32 48 64 0.6
+17 0 2 0 0 33 48 64 0.45
+17 0 2 0 0 34 48 64 0.3
+17 0 2 0 0 35 48 64 0.15
+17 0 2 0 0 36 48 64 6.2803698347351e-16
+17 0 2 0 0 37 48 64 0.15
+17 0 2 0 0 38 48 64 0.3
+17 0 2 0 0 39 48 64 0.450000000000001
+17 0 2 0 0 40 48 64 0.600000000000001
+17 0 2 0 0 41 48 64 0.750000000000001
+17 0 2 0 0 42 48 64 0.900000000000001
+17 0 2 0 0 43 48 64 1.05
+17 0 2 0 0 44 48 64 1.2
+17 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 1.35
+18 0 2 0 0 28 48 64 1.2
+18 0 2 0 0 29 48 64 1.05
+18 0 2 0 0 30 48 64 0.9
+18 0 2 0 0 31 48 64 0.75
+18 0 2 0 0 32 48 64 0.6
+18 0 2 0 0 33 48 64 0.45
+18 0 2 0 0 34 48 64 0.3
+18 0 2 0 0 35 48 64 0.15
+18 0 2 0 0 36 48 64 6.2803698347351e-16
+18 0 2 0 0 37 48 64 0.15
+18 0 2 0 0 38 48 64 0.3
+18 0 2 0 0 39 48 64 0.450000000000001
+18 0 2 0 0 40 48 64 0.600000000000001
+18 0 2 0 0 41 48 64 0.750000000000001
+18 0 2 0 0 42 48 64 0.900000000000001
+18 0 2 0 0 43 48 64 1.05
+18 0 2 0 0 44 48 64 1.2
+18 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 2.7
+18 0 1 0 0 20 48 64 2.4
+18 0 1 0 0 22 48 64 2.1
+18 0 1 0 0 24 48 64 1.8
+18 0 1 0 0 26 48 64 1.5
+18 0 1 0 0 28 48 64 1.2
+18 0 1 0 0 30 48 64 0.9
+18 0 1 0 0 32 48 64 0.6
+18 0 1 0 0 34 48 64 0.3
+18 0 1 0 0 36 48 64 6.2803698347351e-16
+18 0 1 0 0 38 48 64 0.3
+18 0 1 0 0 40 48 64 0.600000000000001
+18 0 1 0 0 42 48 64 0.900000000000001
+18 0 1 0 0 44 48 64 1.2
+18 0 1 0 0 46 48 64 1.5
+18 0 1 0 0 48 48 64 1.8
+18 0 1 0 0 50 48 64 2.1
+18 0 1 0 0 52 48 64 2.4
+18 0 1 0 0 54 48 64 2.7
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 1.35
+19 0 2 0 0 28 48 64 1.2
+19 0 2 0 0 29 48 64 1.05
+19 0 2 0 0 30 48 64 0.9
+19 0 2 0 0 31 48 64 0.75
+19 0 2 0 0 32 48 64 0.6
+19 0 2 0 0 33 48 64 0.45
+19 0 2 0 0 34 48 64 0.3
+19 0 2 0 0 35 48 64 0.15
+19 0 2 0 0 36 48 64 6.2803698347351e-16
+19 0 2 0 0 37 48 64 0.15
+19 0 2 0 0 38 48 64 0.3
+19 0 2 0 0 39 48 64 0.450000000000001
+19 0 2 0 0 40 48 64 0.600000000000001
+19 0 2 0 0 41 48 64 0.750000000000001
+19 0 2 0 0 42 48 64 0.900000000000001
+19 0 2 0 0 43 48 64 1.05
+19 0 2 0 0 44 48 64 1.2
+19 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 1.35
+20 0 2 0 0 28 48 64 1.2
+20 0 2 0 0 29 48 64 1.05
+20 0 2 0 0 30 48 64 0.9
+20 0 2 0 0 31 48 64 0.75
+20 0 2 0 0 32 48 64 0.6
+20 0 2 0 0 33 48 64 0.45
+20 0 2 0 0 34 48 64 0.3
+20 0 2 0 0 35 48 64 0.15
+20 0 2 0 0 36 48 64 6.2803698347351e-16
+20 0 2 0 0 37 48 64 0.15
+20 0 2 0 0 38 48 64 0.3
+20 0 2 0 0 39 48 64 0.450000000000001
+20 0 2 0 0 40 48 64 0.600000000000001
+20 0 2 0 0 41 48 64 0.750000000000001
+20 0 2 0 0 42 48 64 0.900000000000001
+20 0 2 0 0 43 48 64 1.05
+20 0 2 0 0 44 48 64 1.2
+20 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 2.7
+20 0 1 0 0 20 48 64 2.4
+20 0 1 0 0 22 48 64 2.1
+20 0 1 0 0 24 48 64 1.8
+20 0 1 0 0 26 48 64 1.5
+20 0 1 0 0 28 48 64 1.2
+20 0 1 0 0 30 48 64 0.9
+20 0 1 0 0 32 48 64 0.6
+20 0 1 0 0 34 48 64 0.3
+20 0 1 0 0 36 48 64 6.2803698347351e-16
+20 0 1 0 0 38 48 64 0.3
+20 0 1 0 0 40 48 64 0.600000000000001
+20 0 1 0 0 42 48 64 0.900000000000001
+20 0 1 0 0 44 48 64 1.2
+20 0 1 0 0 46 48 64 1.5
+20 0 1 0 0 48 48 64 1.8
+20 0 1 0 0 50 48 64 2.1
+20 0 1 0 0 52 48 64 2.4
+20 0 1 0 0 54 48 64 2.7
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 5.4
+20 0 0 0 0 4 48 64 4.8
+20 0 0 0 0 8 48 64 4.2
+20 0 0 0 0 12 48 64 3.6
+20 0 0 0 0 16 48 64 3
+20 0 0 0 0 20 48 64 2.4
+20 0 0 0 0 24 48 64 1.8
+20 0 0 0 0 28 48 64 1.2
+20 0 0 0 0 32 48 64 0.6
+20 0 0 0 0 36 48 64 6.2803698347351e-16
+20 0 0 0 0 40 48 64 0.600000000000001
+20 0 0 0 0 44 48 64 1.2
+20 0 0 0 0 48 48 64 1.8
+20 0 0 0 0 52 48 64 2.4
+20 0 0 0 0 56 48 64 3
+20 0 0 0 0 60 48 64 3.6
+20 0 0 0 0 64 48 64 4.2
+20 0 0 0 0 68 48 64 4.8
+20 0 0 0 0 72 48 64 5.4
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 1.35
+21 0 2 0 0 28 48 64 1.2
+21 0 2 0 0 29 48 64 1.05
+21 0 2 0 0 30 48 64 0.9
+21 0 2 0 0 31 48 64 0.75
+21 0 2 0 0 32 48 64 0.6
+21 0 2 0 0 33 48 64 0.45
+21 0 2 0 0 34 48 64 0.3
+21 0 2 0 0 35 48 64 0.15
+21 0 2 0 0 36 48 64 6.2803698347351e-16
+21 0 2 0 0 37 48 64 0.15
+21 0 2 0 0 38 48 64 0.3
+21 0 2 0 0 39 48 64 0.450000000000001
+21 0 2 0 0 40 48 64 0.600000000000001
+21 0 2 0 0 41 48 64 0.750000000000001
+21 0 2 0 0 42 48 64 0.900000000000001
+21 0 2 0 0 43 48 64 1.05
+21 0 2 0 0 44 48 64 1.2
+21 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 1.35
+22 0 2 0 0 28 48 64 1.2
+22 0 2 0 0 29 48 64 1.05
+22 0 2 0 0 30 48 64 0.9
+22 0 2 0 0 31 48 64 0.75
+22 0 2 0 0 32 48 64 0.6
+22 0 2 0 0 33 48 64 0.45
+22 0 2 0 0 34 48 64 0.3
+22 0 2 0 0 35 48 64 0.15
+22 0 2 0 0 36 48 64 6.2803698347351e-16
+22 0 2 0 0 37 48 64 0.15
+22 0 2 0 0 38 48 64 0.3
+22 0 2 0 0 39 48 64 0.450000000000001
+22 0 2 0 0 40 48 64 0.600000000000001
+22 0 2 0 0 41 48 64 0.750000000000001
+22 0 2 0 0 42 48 64 0.900000000000001
+22 0 2 0 0 43 48 64 1.05
+22 0 2 0 0 44 48 64 1.2
+22 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 2.7
+22 0 1 0 0 20 48 64 2.4
+22 0 1 0 0 22 48 64 2.1
+22 0 1 0 0 24 48 64 1.8
+22 0 1 0 0 26 48 64 1.5
+22 0 1 0 0 28 48 64 1.2
+22 0 1 0 0 30 48 64 0.9
+22 0 1 0 0 32 48 64 0.6
+22 0 1 0 0 34 48 64 0.3
+22 0 1 0 0 36 48 64 6.2803698347351e-16
+22 0 1 0 0 38 48 64 0.3
+22 0 1 0 0 40 48 64 0.600000000000001
+22 0 1 0 0 42 48 64 0.900000000000001
+22 0 1 0 0 44 48 64 1.2
+22 0 1 0 0 46 48 64 1.5
+22 0 1 0 0 48 48 64 1.8
+22 0 1 0 0 50 48 64 2.1
+22 0 1 0 0 52 48 64 2.4
+22 0 1 0 0 54 48 64 2.7
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 1.35
+23 0 2 0 0 28 48 64 1.2
+23 0 2 0 0 29 48 64 1.05
+23 0 2 0 0 30 48 64 0.9
+23 0 2 0 0 31 48 64 0.75
+23 0 2 0 0 32 48 64 0.6
+23 0 2 0 0 33 48 64 0.45
+23 0 2 0 0 34 48 64 0.3
+23 0 2 0 0 35 48 64 0.15
+23 0 2 0 0 36 48 64 6.2803698347351e-16
+23 0 2 0 0 37 48 64 0.15
+23 0 2 0 0 38 48 64 0.3
+23 0 2 0 0 39 48 64 0.450000000000001
+23 0 2 0 0 40 48 64 0.600000000000001
+23 0 2 0 0 41 48 64 0.750000000000001
+23 0 2 0 0 42 48 64 0.900000000000001
+23 0 2 0 0 43 48 64 1.05
+23 0 2 0 0 44 48 64 1.2
+23 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 1.35
+24 0 2 0 0 28 48 64 1.2
+24 0 2 0 0 29 48 64 1.05
+24 0 2 0 0 30 48 64 0.9
+24 0 2 0 0 31 48 64 0.75
+24 0 2 0 0 32 48 64 0.6
+24 0 2 0 0 33 48 64 0.45
+24 0 2 0 0 34 48 64 0.3
+24 0 2 0 0 35 48 64 0.15
+24 0 2 0 0 36 48 64 6.2803698347351e-16
+24 0 2 0 0 37 48 64 0.15
+24 0 2 0 0 38 48 64 0.3
+24 0 2 0 0 39 48 64 0.450000000000001
+24 0 2 0 0 40 48 64 0.600000000000001
+24 0 2 0 0 41 48 64 0.750000000000001
+24 0 2 0 0 42 48 64 0.900000000000001
+24 0 2 0 0 43 48 64 1.05
+24 0 2 0 0 44 48 64 1.2
+24 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 2.7
+24 0 1 0 0 20 48 64 2.4
+24 0 1 0 0 22 48 64 2.1
+24 0 1 0 0 24 48 64 1.8
+24 0 1 0 0 26 48 64 1.5
+24 0 1 0 0 28 48 64 1.2
+24 0 1 0 0 30 48 64 0.9
+24 0 1 0 0 32 48 64 0.6
+24 0 1 0 0 34 48 64 0.3
+24 0 1 0 0 36 48 64 6.2803698347351e-16
+24 0 1 0 0 38 48 64 0.3
+24 0 1 0 0 40 48 64 0.600000000000001
+24 0 1 0 0 42 48 64 0.900000000000001
+24 0 1 0 0 44 48 64 1.2
+24 0 1 0 0 46 48 64 1.5
+24 0 1 0 0 48 48 64 1.8
+24 0 1 0 0 50 48 64 2.1
+24 0 1 0 0 52 48 64 2.4
+24 0 1 0 0 54 48 64 2.7
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 5.4
+24 0 0 0 0 4 48 64 4.8
+24 0 0 0 0 8 48 64 4.2
+24 0 0 0 0 12 48 64 3.6
+24 0 0 0 0 16 48 64 3
+24 0 0 0 0 20 48 64 2.4
+24 0 0 0 0 24 48 64 1.8
+24 0 0 0 0 28 48 64 1.2
+24 0 0 0 0 32 48 64 0.6
+24 0 0 0 0 36 48 64 6.2803698347351e-16
+24 0 0 0 0 40 48 64 0.600000000000001
+24 0 0 0 0 44 48 64 1.2
+24 0 0 0 0 48 48 64 1.8
+24 0 0 0 0 52 48 64 2.4
+24 0 0 0 0 56 48 64 3
+24 0 0 0 0 60 48 64 3.6
+24 0 0 0 0 64 48 64 4.2
+24 0 0 0 0 68 48 64 4.8
+24 0 0 0 0 72 48 64 5.4
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.yl
new file mode 100644
index 000000000..f281181d4
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.yl
@@ -0,0 +1,1397 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 1.35
+0 0 2 0 0 36 40 64 1.2
+0 0 2 0 0 36 41 64 1.05
+0 0 2 0 0 36 42 64 0.9
+0 0 2 0 0 36 43 64 0.75
+0 0 2 0 0 36 44 64 0.6
+0 0 2 0 0 36 45 64 0.45
+0 0 2 0 0 36 46 64 0.3
+0 0 2 0 0 36 47 64 0.15
+0 0 2 0 0 36 48 64 6.2803698347351e-16
+0 0 2 0 0 36 49 64 0.15
+0 0 2 0 0 36 50 64 0.3
+0 0 2 0 0 36 51 64 0.45
+0 0 2 0 0 36 52 64 0.6
+0 0 2 0 0 36 53 64 0.75
+0 0 2 0 0 36 54 64 0.899999999999999
+0 0 2 0 0 36 55 64 1.05
+0 0 2 0 0 36 56 64 1.2
+0 0 2 0 0 36 57 64 1.35
+0 0 2 0 0 36 58 64 1.5
+0 0 2 0 0 36 59 64 1.65
+0 0 2 0 0 36 60 64 1.8
+0 0 2 0 0 36 61 64 1.95
+0 0 2 0 0 36 62 64 2.1
+0 0 2 0 0 36 63 64 2.25
+0 0 2 0 0 36 64 64 2.4
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 3.3
+0 0 1 0 0 36 28 64 3
+0 0 1 0 0 36 30 64 2.7
+0 0 1 0 0 36 32 64 2.4
+0 0 1 0 0 36 34 64 2.1
+0 0 1 0 0 36 36 64 1.8
+0 0 1 0 0 36 38 64 1.5
+0 0 1 0 0 36 40 64 1.2
+0 0 1 0 0 36 42 64 0.9
+0 0 1 0 0 36 44 64 0.6
+0 0 1 0 0 36 46 64 0.3
+0 0 1 0 0 36 48 64 6.2803698347351e-16
+0 0 1 0 0 36 50 64 0.3
+0 0 1 0 0 36 52 64 0.6
+0 0 1 0 0 36 54 64 0.899999999999999
+0 0 1 0 0 36 56 64 1.2
+0 0 1 0 0 36 58 64 1.5
+0 0 1 0 0 36 60 64 1.8
+0 0 1 0 0 36 62 64 2.1
+0 0 1 0 0 36 64 64 2.4
+0 0 1 0 0 36 66 64 2.7
+0 0 1 0 0 36 68 64 3
+0 0 1 0 0 36 70 64 3.3
+0 0 1 0 0 36 72 64 3.6
+0 0 1 0 0 36 74 64 3.9
+0 0 1 0 0 36 76 64 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 7.2
+0 0 0 0 0 36 4 64 6.6
+0 0 0 0 0 36 8 64 6
+0 0 0 0 0 36 12 64 5.4
+0 0 0 0 0 36 16 64 4.8
+0 0 0 0 0 36 20 64 4.2
+0 0 0 0 0 36 24 64 3.6
+0 0 0 0 0 36 28 64 3
+0 0 0 0 0 36 32 64 2.4
+0 0 0 0 0 36 36 64 1.8
+0 0 0 0 0 36 40 64 1.2
+0 0 0 0 0 36 44 64 0.6
+0 0 0 0 0 36 48 64 6.2803698347351e-16
+0 0 0 0 0 36 52 64 0.6
+0 0 0 0 0 36 56 64 1.2
+0 0 0 0 0 36 60 64 1.8
+0 0 0 0 0 36 64 64 2.4
+0 0 0 0 0 36 68 64 3
+0 0 0 0 0 36 72 64 3.6
+0 0 0 0 0 36 76 64 4.2
+0 0 0 0 0 36 80 64 4.8
+0 0 0 0 0 36 84 64 5.4
+0 0 0 0 0 36 88 64 6
+0 0 0 0 0 36 92 64 6.6
+0 0 0 0 0 36 96 64 7.2
+0 0 0 0 0 36 100 64 7.8
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 1.35
+1 0 2 0 0 36 40 64 1.2
+1 0 2 0 0 36 41 64 1.05
+1 0 2 0 0 36 42 64 0.9
+1 0 2 0 0 36 43 64 0.75
+1 0 2 0 0 36 44 64 0.6
+1 0 2 0 0 36 45 64 0.45
+1 0 2 0 0 36 46 64 0.3
+1 0 2 0 0 36 47 64 0.15
+1 0 2 0 0 36 48 64 6.2803698347351e-16
+1 0 2 0 0 36 49 64 0.15
+1 0 2 0 0 36 50 64 0.3
+1 0 2 0 0 36 51 64 0.45
+1 0 2 0 0 36 52 64 0.6
+1 0 2 0 0 36 53 64 0.75
+1 0 2 0 0 36 54 64 0.899999999999999
+1 0 2 0 0 36 55 64 1.05
+1 0 2 0 0 36 56 64 1.2
+1 0 2 0 0 36 57 64 1.35
+1 0 2 0 0 36 58 64 1.5
+1 0 2 0 0 36 59 64 1.65
+1 0 2 0 0 36 60 64 1.8
+1 0 2 0 0 36 61 64 1.95
+1 0 2 0 0 36 62 64 2.1
+1 0 2 0 0 36 63 64 2.25
+1 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 1.35
+2 0 2 0 0 36 40 64 1.2
+2 0 2 0 0 36 41 64 1.05
+2 0 2 0 0 36 42 64 0.9
+2 0 2 0 0 36 43 64 0.75
+2 0 2 0 0 36 44 64 0.6
+2 0 2 0 0 36 45 64 0.45
+2 0 2 0 0 36 46 64 0.3
+2 0 2 0 0 36 47 64 0.15
+2 0 2 0 0 36 48 64 6.2803698347351e-16
+2 0 2 0 0 36 49 64 0.15
+2 0 2 0 0 36 50 64 0.3
+2 0 2 0 0 36 51 64 0.45
+2 0 2 0 0 36 52 64 0.6
+2 0 2 0 0 36 53 64 0.75
+2 0 2 0 0 36 54 64 0.899999999999999
+2 0 2 0 0 36 55 64 1.05
+2 0 2 0 0 36 56 64 1.2
+2 0 2 0 0 36 57 64 1.35
+2 0 2 0 0 36 58 64 1.5
+2 0 2 0 0 36 59 64 1.65
+2 0 2 0 0 36 60 64 1.8
+2 0 2 0 0 36 61 64 1.95
+2 0 2 0 0 36 62 64 2.1
+2 0 2 0 0 36 63 64 2.25
+2 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 3.3
+2 0 1 0 0 36 28 64 3
+2 0 1 0 0 36 30 64 2.7
+2 0 1 0 0 36 32 64 2.4
+2 0 1 0 0 36 34 64 2.1
+2 0 1 0 0 36 36 64 1.8
+2 0 1 0 0 36 38 64 1.5
+2 0 1 0 0 36 40 64 1.2
+2 0 1 0 0 36 42 64 0.9
+2 0 1 0 0 36 44 64 0.6
+2 0 1 0 0 36 46 64 0.3
+2 0 1 0 0 36 48 64 6.2803698347351e-16
+2 0 1 0 0 36 50 64 0.3
+2 0 1 0 0 36 52 64 0.6
+2 0 1 0 0 36 54 64 0.899999999999999
+2 0 1 0 0 36 56 64 1.2
+2 0 1 0 0 36 58 64 1.5
+2 0 1 0 0 36 60 64 1.8
+2 0 1 0 0 36 62 64 2.1
+2 0 1 0 0 36 64 64 2.4
+2 0 1 0 0 36 66 64 2.7
+2 0 1 0 0 36 68 64 3
+2 0 1 0 0 36 70 64 3.3
+2 0 1 0 0 36 72 64 3.6
+2 0 1 0 0 36 74 64 3.9
+2 0 1 0 0 36 76 64 4.2
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 1.35
+3 0 2 0 0 36 40 64 1.2
+3 0 2 0 0 36 41 64 1.05
+3 0 2 0 0 36 42 64 0.9
+3 0 2 0 0 36 43 64 0.75
+3 0 2 0 0 36 44 64 0.6
+3 0 2 0 0 36 45 64 0.45
+3 0 2 0 0 36 46 64 0.3
+3 0 2 0 0 36 47 64 0.15
+3 0 2 0 0 36 48 64 6.2803698347351e-16
+3 0 2 0 0 36 49 64 0.15
+3 0 2 0 0 36 50 64 0.3
+3 0 2 0 0 36 51 64 0.45
+3 0 2 0 0 36 52 64 0.6
+3 0 2 0 0 36 53 64 0.75
+3 0 2 0 0 36 54 64 0.899999999999999
+3 0 2 0 0 36 55 64 1.05
+3 0 2 0 0 36 56 64 1.2
+3 0 2 0 0 36 57 64 1.35
+3 0 2 0 0 36 58 64 1.5
+3 0 2 0 0 36 59 64 1.65
+3 0 2 0 0 36 60 64 1.8
+3 0 2 0 0 36 61 64 1.95
+3 0 2 0 0 36 62 64 2.1
+3 0 2 0 0 36 63 64 2.25
+3 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 1.35
+4 0 2 0 0 36 40 64 1.2
+4 0 2 0 0 36 41 64 1.05
+4 0 2 0 0 36 42 64 0.9
+4 0 2 0 0 36 43 64 0.75
+4 0 2 0 0 36 44 64 0.6
+4 0 2 0 0 36 45 64 0.45
+4 0 2 0 0 36 46 64 0.3
+4 0 2 0 0 36 47 64 0.15
+4 0 2 0 0 36 48 64 6.2803698347351e-16
+4 0 2 0 0 36 49 64 0.15
+4 0 2 0 0 36 50 64 0.3
+4 0 2 0 0 36 51 64 0.45
+4 0 2 0 0 36 52 64 0.6
+4 0 2 0 0 36 53 64 0.75
+4 0 2 0 0 36 54 64 0.899999999999999
+4 0 2 0 0 36 55 64 1.05
+4 0 2 0 0 36 56 64 1.2
+4 0 2 0 0 36 57 64 1.35
+4 0 2 0 0 36 58 64 1.5
+4 0 2 0 0 36 59 64 1.65
+4 0 2 0 0 36 60 64 1.8
+4 0 2 0 0 36 61 64 1.95
+4 0 2 0 0 36 62 64 2.1
+4 0 2 0 0 36 63 64 2.25
+4 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 3.3
+4 0 1 0 0 36 28 64 3
+4 0 1 0 0 36 30 64 2.7
+4 0 1 0 0 36 32 64 2.4
+4 0 1 0 0 36 34 64 2.1
+4 0 1 0 0 36 36 64 1.8
+4 0 1 0 0 36 38 64 1.5
+4 0 1 0 0 36 40 64 1.2
+4 0 1 0 0 36 42 64 0.9
+4 0 1 0 0 36 44 64 0.6
+4 0 1 0 0 36 46 64 0.3
+4 0 1 0 0 36 48 64 6.2803698347351e-16
+4 0 1 0 0 36 50 64 0.3
+4 0 1 0 0 36 52 64 0.6
+4 0 1 0 0 36 54 64 0.899999999999999
+4 0 1 0 0 36 56 64 1.2
+4 0 1 0 0 36 58 64 1.5
+4 0 1 0 0 36 60 64 1.8
+4 0 1 0 0 36 62 64 2.1
+4 0 1 0 0 36 64 64 2.4
+4 0 1 0 0 36 66 64 2.7
+4 0 1 0 0 36 68 64 3
+4 0 1 0 0 36 70 64 3.3
+4 0 1 0 0 36 72 64 3.6
+4 0 1 0 0 36 74 64 3.9
+4 0 1 0 0 36 76 64 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 7.2
+4 0 0 0 0 36 4 64 6.6
+4 0 0 0 0 36 8 64 6
+4 0 0 0 0 36 12 64 5.4
+4 0 0 0 0 36 16 64 4.8
+4 0 0 0 0 36 20 64 4.2
+4 0 0 0 0 36 24 64 3.6
+4 0 0 0 0 36 28 64 3
+4 0 0 0 0 36 32 64 2.4
+4 0 0 0 0 36 36 64 1.8
+4 0 0 0 0 36 40 64 1.2
+4 0 0 0 0 36 44 64 0.6
+4 0 0 0 0 36 48 64 6.2803698347351e-16
+4 0 0 0 0 36 52 64 0.6
+4 0 0 0 0 36 56 64 1.2
+4 0 0 0 0 36 60 64 1.8
+4 0 0 0 0 36 64 64 2.4
+4 0 0 0 0 36 68 64 3
+4 0 0 0 0 36 72 64 3.6
+4 0 0 0 0 36 76 64 4.2
+4 0 0 0 0 36 80 64 4.8
+4 0 0 0 0 36 84 64 5.4
+4 0 0 0 0 36 88 64 6
+4 0 0 0 0 36 92 64 6.6
+4 0 0 0 0 36 96 64 7.2
+4 0 0 0 0 36 100 64 7.8
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 1.35
+5 0 2 0 0 36 40 64 1.2
+5 0 2 0 0 36 41 64 1.05
+5 0 2 0 0 36 42 64 0.9
+5 0 2 0 0 36 43 64 0.75
+5 0 2 0 0 36 44 64 0.6
+5 0 2 0 0 36 45 64 0.45
+5 0 2 0 0 36 46 64 0.3
+5 0 2 0 0 36 47 64 0.15
+5 0 2 0 0 36 48 64 6.2803698347351e-16
+5 0 2 0 0 36 49 64 0.15
+5 0 2 0 0 36 50 64 0.3
+5 0 2 0 0 36 51 64 0.45
+5 0 2 0 0 36 52 64 0.6
+5 0 2 0 0 36 53 64 0.75
+5 0 2 0 0 36 54 64 0.899999999999999
+5 0 2 0 0 36 55 64 1.05
+5 0 2 0 0 36 56 64 1.2
+5 0 2 0 0 36 57 64 1.35
+5 0 2 0 0 36 58 64 1.5
+5 0 2 0 0 36 59 64 1.65
+5 0 2 0 0 36 60 64 1.8
+5 0 2 0 0 36 61 64 1.95
+5 0 2 0 0 36 62 64 2.1
+5 0 2 0 0 36 63 64 2.25
+5 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 1.35
+6 0 2 0 0 36 40 64 1.2
+6 0 2 0 0 36 41 64 1.05
+6 0 2 0 0 36 42 64 0.9
+6 0 2 0 0 36 43 64 0.75
+6 0 2 0 0 36 44 64 0.6
+6 0 2 0 0 36 45 64 0.45
+6 0 2 0 0 36 46 64 0.3
+6 0 2 0 0 36 47 64 0.15
+6 0 2 0 0 36 48 64 6.2803698347351e-16
+6 0 2 0 0 36 49 64 0.15
+6 0 2 0 0 36 50 64 0.3
+6 0 2 0 0 36 51 64 0.45
+6 0 2 0 0 36 52 64 0.6
+6 0 2 0 0 36 53 64 0.75
+6 0 2 0 0 36 54 64 0.899999999999999
+6 0 2 0 0 36 55 64 1.05
+6 0 2 0 0 36 56 64 1.2
+6 0 2 0 0 36 57 64 1.35
+6 0 2 0 0 36 58 64 1.5
+6 0 2 0 0 36 59 64 1.65
+6 0 2 0 0 36 60 64 1.8
+6 0 2 0 0 36 61 64 1.95
+6 0 2 0 0 36 62 64 2.1
+6 0 2 0 0 36 63 64 2.25
+6 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 3.3
+6 0 1 0 0 36 28 64 3
+6 0 1 0 0 36 30 64 2.7
+6 0 1 0 0 36 32 64 2.4
+6 0 1 0 0 36 34 64 2.1
+6 0 1 0 0 36 36 64 1.8
+6 0 1 0 0 36 38 64 1.5
+6 0 1 0 0 36 40 64 1.2
+6 0 1 0 0 36 42 64 0.9
+6 0 1 0 0 36 44 64 0.6
+6 0 1 0 0 36 46 64 0.3
+6 0 1 0 0 36 48 64 6.2803698347351e-16
+6 0 1 0 0 36 50 64 0.3
+6 0 1 0 0 36 52 64 0.6
+6 0 1 0 0 36 54 64 0.899999999999999
+6 0 1 0 0 36 56 64 1.2
+6 0 1 0 0 36 58 64 1.5
+6 0 1 0 0 36 60 64 1.8
+6 0 1 0 0 36 62 64 2.1
+6 0 1 0 0 36 64 64 2.4
+6 0 1 0 0 36 66 64 2.7
+6 0 1 0 0 36 68 64 3
+6 0 1 0 0 36 70 64 3.3
+6 0 1 0 0 36 72 64 3.6
+6 0 1 0 0 36 74 64 3.9
+6 0 1 0 0 36 76 64 4.2
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 1.35
+7 0 2 0 0 36 40 64 1.2
+7 0 2 0 0 36 41 64 1.05
+7 0 2 0 0 36 42 64 0.9
+7 0 2 0 0 36 43 64 0.75
+7 0 2 0 0 36 44 64 0.6
+7 0 2 0 0 36 45 64 0.45
+7 0 2 0 0 36 46 64 0.3
+7 0 2 0 0 36 47 64 0.15
+7 0 2 0 0 36 48 64 6.2803698347351e-16
+7 0 2 0 0 36 49 64 0.15
+7 0 2 0 0 36 50 64 0.3
+7 0 2 0 0 36 51 64 0.45
+7 0 2 0 0 36 52 64 0.6
+7 0 2 0 0 36 53 64 0.75
+7 0 2 0 0 36 54 64 0.899999999999999
+7 0 2 0 0 36 55 64 1.05
+7 0 2 0 0 36 56 64 1.2
+7 0 2 0 0 36 57 64 1.35
+7 0 2 0 0 36 58 64 1.5
+7 0 2 0 0 36 59 64 1.65
+7 0 2 0 0 36 60 64 1.8
+7 0 2 0 0 36 61 64 1.95
+7 0 2 0 0 36 62 64 2.1
+7 0 2 0 0 36 63 64 2.25
+7 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 1.35
+8 0 2 0 0 36 40 64 1.2
+8 0 2 0 0 36 41 64 1.05
+8 0 2 0 0 36 42 64 0.9
+8 0 2 0 0 36 43 64 0.75
+8 0 2 0 0 36 44 64 0.6
+8 0 2 0 0 36 45 64 0.45
+8 0 2 0 0 36 46 64 0.3
+8 0 2 0 0 36 47 64 0.15
+8 0 2 0 0 36 48 64 6.2803698347351e-16
+8 0 2 0 0 36 49 64 0.15
+8 0 2 0 0 36 50 64 0.3
+8 0 2 0 0 36 51 64 0.45
+8 0 2 0 0 36 52 64 0.6
+8 0 2 0 0 36 53 64 0.75
+8 0 2 0 0 36 54 64 0.899999999999999
+8 0 2 0 0 36 55 64 1.05
+8 0 2 0 0 36 56 64 1.2
+8 0 2 0 0 36 57 64 1.35
+8 0 2 0 0 36 58 64 1.5
+8 0 2 0 0 36 59 64 1.65
+8 0 2 0 0 36 60 64 1.8
+8 0 2 0 0 36 61 64 1.95
+8 0 2 0 0 36 62 64 2.1
+8 0 2 0 0 36 63 64 2.25
+8 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 3.3
+8 0 1 0 0 36 28 64 3
+8 0 1 0 0 36 30 64 2.7
+8 0 1 0 0 36 32 64 2.4
+8 0 1 0 0 36 34 64 2.1
+8 0 1 0 0 36 36 64 1.8
+8 0 1 0 0 36 38 64 1.5
+8 0 1 0 0 36 40 64 1.2
+8 0 1 0 0 36 42 64 0.9
+8 0 1 0 0 36 44 64 0.6
+8 0 1 0 0 36 46 64 0.3
+8 0 1 0 0 36 48 64 6.2803698347351e-16
+8 0 1 0 0 36 50 64 0.3
+8 0 1 0 0 36 52 64 0.6
+8 0 1 0 0 36 54 64 0.899999999999999
+8 0 1 0 0 36 56 64 1.2
+8 0 1 0 0 36 58 64 1.5
+8 0 1 0 0 36 60 64 1.8
+8 0 1 0 0 36 62 64 2.1
+8 0 1 0 0 36 64 64 2.4
+8 0 1 0 0 36 66 64 2.7
+8 0 1 0 0 36 68 64 3
+8 0 1 0 0 36 70 64 3.3
+8 0 1 0 0 36 72 64 3.6
+8 0 1 0 0 36 74 64 3.9
+8 0 1 0 0 36 76 64 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 7.2
+8 0 0 0 0 36 4 64 6.6
+8 0 0 0 0 36 8 64 6
+8 0 0 0 0 36 12 64 5.4
+8 0 0 0 0 36 16 64 4.8
+8 0 0 0 0 36 20 64 4.2
+8 0 0 0 0 36 24 64 3.6
+8 0 0 0 0 36 28 64 3
+8 0 0 0 0 36 32 64 2.4
+8 0 0 0 0 36 36 64 1.8
+8 0 0 0 0 36 40 64 1.2
+8 0 0 0 0 36 44 64 0.6
+8 0 0 0 0 36 48 64 6.2803698347351e-16
+8 0 0 0 0 36 52 64 0.6
+8 0 0 0 0 36 56 64 1.2
+8 0 0 0 0 36 60 64 1.8
+8 0 0 0 0 36 64 64 2.4
+8 0 0 0 0 36 68 64 3
+8 0 0 0 0 36 72 64 3.6
+8 0 0 0 0 36 76 64 4.2
+8 0 0 0 0 36 80 64 4.8
+8 0 0 0 0 36 84 64 5.4
+8 0 0 0 0 36 88 64 6
+8 0 0 0 0 36 92 64 6.6
+8 0 0 0 0 36 96 64 7.2
+8 0 0 0 0 36 100 64 7.8
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 1.35
+9 0 2 0 0 36 40 64 1.2
+9 0 2 0 0 36 41 64 1.05
+9 0 2 0 0 36 42 64 0.9
+9 0 2 0 0 36 43 64 0.75
+9 0 2 0 0 36 44 64 0.6
+9 0 2 0 0 36 45 64 0.45
+9 0 2 0 0 36 46 64 0.3
+9 0 2 0 0 36 47 64 0.15
+9 0 2 0 0 36 48 64 6.2803698347351e-16
+9 0 2 0 0 36 49 64 0.15
+9 0 2 0 0 36 50 64 0.3
+9 0 2 0 0 36 51 64 0.45
+9 0 2 0 0 36 52 64 0.6
+9 0 2 0 0 36 53 64 0.75
+9 0 2 0 0 36 54 64 0.899999999999999
+9 0 2 0 0 36 55 64 1.05
+9 0 2 0 0 36 56 64 1.2
+9 0 2 0 0 36 57 64 1.35
+9 0 2 0 0 36 58 64 1.5
+9 0 2 0 0 36 59 64 1.65
+9 0 2 0 0 36 60 64 1.8
+9 0 2 0 0 36 61 64 1.95
+9 0 2 0 0 36 62 64 2.1
+9 0 2 0 0 36 63 64 2.25
+9 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 1.35
+10 0 2 0 0 36 40 64 1.2
+10 0 2 0 0 36 41 64 1.05
+10 0 2 0 0 36 42 64 0.9
+10 0 2 0 0 36 43 64 0.75
+10 0 2 0 0 36 44 64 0.6
+10 0 2 0 0 36 45 64 0.45
+10 0 2 0 0 36 46 64 0.3
+10 0 2 0 0 36 47 64 0.15
+10 0 2 0 0 36 48 64 6.2803698347351e-16
+10 0 2 0 0 36 49 64 0.15
+10 0 2 0 0 36 50 64 0.3
+10 0 2 0 0 36 51 64 0.45
+10 0 2 0 0 36 52 64 0.6
+10 0 2 0 0 36 53 64 0.75
+10 0 2 0 0 36 54 64 0.899999999999999
+10 0 2 0 0 36 55 64 1.05
+10 0 2 0 0 36 56 64 1.2
+10 0 2 0 0 36 57 64 1.35
+10 0 2 0 0 36 58 64 1.5
+10 0 2 0 0 36 59 64 1.65
+10 0 2 0 0 36 60 64 1.8
+10 0 2 0 0 36 61 64 1.95
+10 0 2 0 0 36 62 64 2.1
+10 0 2 0 0 36 63 64 2.25
+10 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 3.3
+10 0 1 0 0 36 28 64 3
+10 0 1 0 0 36 30 64 2.7
+10 0 1 0 0 36 32 64 2.4
+10 0 1 0 0 36 34 64 2.1
+10 0 1 0 0 36 36 64 1.8
+10 0 1 0 0 36 38 64 1.5
+10 0 1 0 0 36 40 64 1.2
+10 0 1 0 0 36 42 64 0.9
+10 0 1 0 0 36 44 64 0.6
+10 0 1 0 0 36 46 64 0.3
+10 0 1 0 0 36 48 64 6.2803698347351e-16
+10 0 1 0 0 36 50 64 0.3
+10 0 1 0 0 36 52 64 0.6
+10 0 1 0 0 36 54 64 0.899999999999999
+10 0 1 0 0 36 56 64 1.2
+10 0 1 0 0 36 58 64 1.5
+10 0 1 0 0 36 60 64 1.8
+10 0 1 0 0 36 62 64 2.1
+10 0 1 0 0 36 64 64 2.4
+10 0 1 0 0 36 66 64 2.7
+10 0 1 0 0 36 68 64 3
+10 0 1 0 0 36 70 64 3.3
+10 0 1 0 0 36 72 64 3.6
+10 0 1 0 0 36 74 64 3.9
+10 0 1 0 0 36 76 64 4.2
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 1.35
+11 0 2 0 0 36 40 64 1.2
+11 0 2 0 0 36 41 64 1.05
+11 0 2 0 0 36 42 64 0.9
+11 0 2 0 0 36 43 64 0.75
+11 0 2 0 0 36 44 64 0.6
+11 0 2 0 0 36 45 64 0.45
+11 0 2 0 0 36 46 64 0.3
+11 0 2 0 0 36 47 64 0.15
+11 0 2 0 0 36 48 64 6.2803698347351e-16
+11 0 2 0 0 36 49 64 0.15
+11 0 2 0 0 36 50 64 0.3
+11 0 2 0 0 36 51 64 0.45
+11 0 2 0 0 36 52 64 0.6
+11 0 2 0 0 36 53 64 0.75
+11 0 2 0 0 36 54 64 0.899999999999999
+11 0 2 0 0 36 55 64 1.05
+11 0 2 0 0 36 56 64 1.2
+11 0 2 0 0 36 57 64 1.35
+11 0 2 0 0 36 58 64 1.5
+11 0 2 0 0 36 59 64 1.65
+11 0 2 0 0 36 60 64 1.8
+11 0 2 0 0 36 61 64 1.95
+11 0 2 0 0 36 62 64 2.1
+11 0 2 0 0 36 63 64 2.25
+11 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 1.35
+12 0 2 0 0 36 40 64 1.2
+12 0 2 0 0 36 41 64 1.05
+12 0 2 0 0 36 42 64 0.9
+12 0 2 0 0 36 43 64 0.75
+12 0 2 0 0 36 44 64 0.6
+12 0 2 0 0 36 45 64 0.45
+12 0 2 0 0 36 46 64 0.3
+12 0 2 0 0 36 47 64 0.15
+12 0 2 0 0 36 48 64 6.2803698347351e-16
+12 0 2 0 0 36 49 64 0.15
+12 0 2 0 0 36 50 64 0.3
+12 0 2 0 0 36 51 64 0.45
+12 0 2 0 0 36 52 64 0.6
+12 0 2 0 0 36 53 64 0.75
+12 0 2 0 0 36 54 64 0.899999999999999
+12 0 2 0 0 36 55 64 1.05
+12 0 2 0 0 36 56 64 1.2
+12 0 2 0 0 36 57 64 1.35
+12 0 2 0 0 36 58 64 1.5
+12 0 2 0 0 36 59 64 1.65
+12 0 2 0 0 36 60 64 1.8
+12 0 2 0 0 36 61 64 1.95
+12 0 2 0 0 36 62 64 2.1
+12 0 2 0 0 36 63 64 2.25
+12 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 3.3
+12 0 1 0 0 36 28 64 3
+12 0 1 0 0 36 30 64 2.7
+12 0 1 0 0 36 32 64 2.4
+12 0 1 0 0 36 34 64 2.1
+12 0 1 0 0 36 36 64 1.8
+12 0 1 0 0 36 38 64 1.5
+12 0 1 0 0 36 40 64 1.2
+12 0 1 0 0 36 42 64 0.9
+12 0 1 0 0 36 44 64 0.6
+12 0 1 0 0 36 46 64 0.3
+12 0 1 0 0 36 48 64 6.2803698347351e-16
+12 0 1 0 0 36 50 64 0.3
+12 0 1 0 0 36 52 64 0.6
+12 0 1 0 0 36 54 64 0.899999999999999
+12 0 1 0 0 36 56 64 1.2
+12 0 1 0 0 36 58 64 1.5
+12 0 1 0 0 36 60 64 1.8
+12 0 1 0 0 36 62 64 2.1
+12 0 1 0 0 36 64 64 2.4
+12 0 1 0 0 36 66 64 2.7
+12 0 1 0 0 36 68 64 3
+12 0 1 0 0 36 70 64 3.3
+12 0 1 0 0 36 72 64 3.6
+12 0 1 0 0 36 74 64 3.9
+12 0 1 0 0 36 76 64 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 7.2
+12 0 0 0 0 36 4 64 6.6
+12 0 0 0 0 36 8 64 6
+12 0 0 0 0 36 12 64 5.4
+12 0 0 0 0 36 16 64 4.8
+12 0 0 0 0 36 20 64 4.2
+12 0 0 0 0 36 24 64 3.6
+12 0 0 0 0 36 28 64 3
+12 0 0 0 0 36 32 64 2.4
+12 0 0 0 0 36 36 64 1.8
+12 0 0 0 0 36 40 64 1.2
+12 0 0 0 0 36 44 64 0.6
+12 0 0 0 0 36 48 64 6.2803698347351e-16
+12 0 0 0 0 36 52 64 0.6
+12 0 0 0 0 36 56 64 1.2
+12 0 0 0 0 36 60 64 1.8
+12 0 0 0 0 36 64 64 2.4
+12 0 0 0 0 36 68 64 3
+12 0 0 0 0 36 72 64 3.6
+12 0 0 0 0 36 76 64 4.2
+12 0 0 0 0 36 80 64 4.8
+12 0 0 0 0 36 84 64 5.4
+12 0 0 0 0 36 88 64 6
+12 0 0 0 0 36 92 64 6.6
+12 0 0 0 0 36 96 64 7.2
+12 0 0 0 0 36 100 64 7.8
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 1.35
+13 0 2 0 0 36 40 64 1.2
+13 0 2 0 0 36 41 64 1.05
+13 0 2 0 0 36 42 64 0.9
+13 0 2 0 0 36 43 64 0.75
+13 0 2 0 0 36 44 64 0.6
+13 0 2 0 0 36 45 64 0.45
+13 0 2 0 0 36 46 64 0.3
+13 0 2 0 0 36 47 64 0.15
+13 0 2 0 0 36 48 64 6.2803698347351e-16
+13 0 2 0 0 36 49 64 0.15
+13 0 2 0 0 36 50 64 0.3
+13 0 2 0 0 36 51 64 0.45
+13 0 2 0 0 36 52 64 0.6
+13 0 2 0 0 36 53 64 0.75
+13 0 2 0 0 36 54 64 0.899999999999999
+13 0 2 0 0 36 55 64 1.05
+13 0 2 0 0 36 56 64 1.2
+13 0 2 0 0 36 57 64 1.35
+13 0 2 0 0 36 58 64 1.5
+13 0 2 0 0 36 59 64 1.65
+13 0 2 0 0 36 60 64 1.8
+13 0 2 0 0 36 61 64 1.95
+13 0 2 0 0 36 62 64 2.1
+13 0 2 0 0 36 63 64 2.25
+13 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 1.35
+14 0 2 0 0 36 40 64 1.2
+14 0 2 0 0 36 41 64 1.05
+14 0 2 0 0 36 42 64 0.9
+14 0 2 0 0 36 43 64 0.75
+14 0 2 0 0 36 44 64 0.6
+14 0 2 0 0 36 45 64 0.45
+14 0 2 0 0 36 46 64 0.3
+14 0 2 0 0 36 47 64 0.15
+14 0 2 0 0 36 48 64 6.2803698347351e-16
+14 0 2 0 0 36 49 64 0.15
+14 0 2 0 0 36 50 64 0.3
+14 0 2 0 0 36 51 64 0.45
+14 0 2 0 0 36 52 64 0.6
+14 0 2 0 0 36 53 64 0.75
+14 0 2 0 0 36 54 64 0.899999999999999
+14 0 2 0 0 36 55 64 1.05
+14 0 2 0 0 36 56 64 1.2
+14 0 2 0 0 36 57 64 1.35
+14 0 2 0 0 36 58 64 1.5
+14 0 2 0 0 36 59 64 1.65
+14 0 2 0 0 36 60 64 1.8
+14 0 2 0 0 36 61 64 1.95
+14 0 2 0 0 36 62 64 2.1
+14 0 2 0 0 36 63 64 2.25
+14 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 3.3
+14 0 1 0 0 36 28 64 3
+14 0 1 0 0 36 30 64 2.7
+14 0 1 0 0 36 32 64 2.4
+14 0 1 0 0 36 34 64 2.1
+14 0 1 0 0 36 36 64 1.8
+14 0 1 0 0 36 38 64 1.5
+14 0 1 0 0 36 40 64 1.2
+14 0 1 0 0 36 42 64 0.9
+14 0 1 0 0 36 44 64 0.6
+14 0 1 0 0 36 46 64 0.3
+14 0 1 0 0 36 48 64 6.2803698347351e-16
+14 0 1 0 0 36 50 64 0.3
+14 0 1 0 0 36 52 64 0.6
+14 0 1 0 0 36 54 64 0.899999999999999
+14 0 1 0 0 36 56 64 1.2
+14 0 1 0 0 36 58 64 1.5
+14 0 1 0 0 36 60 64 1.8
+14 0 1 0 0 36 62 64 2.1
+14 0 1 0 0 36 64 64 2.4
+14 0 1 0 0 36 66 64 2.7
+14 0 1 0 0 36 68 64 3
+14 0 1 0 0 36 70 64 3.3
+14 0 1 0 0 36 72 64 3.6
+14 0 1 0 0 36 74 64 3.9
+14 0 1 0 0 36 76 64 4.2
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 1.35
+15 0 2 0 0 36 40 64 1.2
+15 0 2 0 0 36 41 64 1.05
+15 0 2 0 0 36 42 64 0.9
+15 0 2 0 0 36 43 64 0.75
+15 0 2 0 0 36 44 64 0.6
+15 0 2 0 0 36 45 64 0.45
+15 0 2 0 0 36 46 64 0.3
+15 0 2 0 0 36 47 64 0.15
+15 0 2 0 0 36 48 64 6.2803698347351e-16
+15 0 2 0 0 36 49 64 0.15
+15 0 2 0 0 36 50 64 0.3
+15 0 2 0 0 36 51 64 0.45
+15 0 2 0 0 36 52 64 0.6
+15 0 2 0 0 36 53 64 0.75
+15 0 2 0 0 36 54 64 0.899999999999999
+15 0 2 0 0 36 55 64 1.05
+15 0 2 0 0 36 56 64 1.2
+15 0 2 0 0 36 57 64 1.35
+15 0 2 0 0 36 58 64 1.5
+15 0 2 0 0 36 59 64 1.65
+15 0 2 0 0 36 60 64 1.8
+15 0 2 0 0 36 61 64 1.95
+15 0 2 0 0 36 62 64 2.1
+15 0 2 0 0 36 63 64 2.25
+15 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 1.35
+16 0 2 0 0 36 40 64 1.2
+16 0 2 0 0 36 41 64 1.05
+16 0 2 0 0 36 42 64 0.9
+16 0 2 0 0 36 43 64 0.75
+16 0 2 0 0 36 44 64 0.6
+16 0 2 0 0 36 45 64 0.45
+16 0 2 0 0 36 46 64 0.3
+16 0 2 0 0 36 47 64 0.15
+16 0 2 0 0 36 48 64 6.2803698347351e-16
+16 0 2 0 0 36 49 64 0.15
+16 0 2 0 0 36 50 64 0.3
+16 0 2 0 0 36 51 64 0.45
+16 0 2 0 0 36 52 64 0.6
+16 0 2 0 0 36 53 64 0.75
+16 0 2 0 0 36 54 64 0.899999999999999
+16 0 2 0 0 36 55 64 1.05
+16 0 2 0 0 36 56 64 1.2
+16 0 2 0 0 36 57 64 1.35
+16 0 2 0 0 36 58 64 1.5
+16 0 2 0 0 36 59 64 1.65
+16 0 2 0 0 36 60 64 1.8
+16 0 2 0 0 36 61 64 1.95
+16 0 2 0 0 36 62 64 2.1
+16 0 2 0 0 36 63 64 2.25
+16 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 3.3
+16 0 1 0 0 36 28 64 3
+16 0 1 0 0 36 30 64 2.7
+16 0 1 0 0 36 32 64 2.4
+16 0 1 0 0 36 34 64 2.1
+16 0 1 0 0 36 36 64 1.8
+16 0 1 0 0 36 38 64 1.5
+16 0 1 0 0 36 40 64 1.2
+16 0 1 0 0 36 42 64 0.9
+16 0 1 0 0 36 44 64 0.6
+16 0 1 0 0 36 46 64 0.3
+16 0 1 0 0 36 48 64 6.2803698347351e-16
+16 0 1 0 0 36 50 64 0.3
+16 0 1 0 0 36 52 64 0.6
+16 0 1 0 0 36 54 64 0.899999999999999
+16 0 1 0 0 36 56 64 1.2
+16 0 1 0 0 36 58 64 1.5
+16 0 1 0 0 36 60 64 1.8
+16 0 1 0 0 36 62 64 2.1
+16 0 1 0 0 36 64 64 2.4
+16 0 1 0 0 36 66 64 2.7
+16 0 1 0 0 36 68 64 3
+16 0 1 0 0 36 70 64 3.3
+16 0 1 0 0 36 72 64 3.6
+16 0 1 0 0 36 74 64 3.9
+16 0 1 0 0 36 76 64 4.2
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 7.2
+16 0 0 0 0 36 4 64 6.6
+16 0 0 0 0 36 8 64 6
+16 0 0 0 0 36 12 64 5.4
+16 0 0 0 0 36 16 64 4.8
+16 0 0 0 0 36 20 64 4.2
+16 0 0 0 0 36 24 64 3.6
+16 0 0 0 0 36 28 64 3
+16 0 0 0 0 36 32 64 2.4
+16 0 0 0 0 36 36 64 1.8
+16 0 0 0 0 36 40 64 1.2
+16 0 0 0 0 36 44 64 0.6
+16 0 0 0 0 36 48 64 6.2803698347351e-16
+16 0 0 0 0 36 52 64 0.6
+16 0 0 0 0 36 56 64 1.2
+16 0 0 0 0 36 60 64 1.8
+16 0 0 0 0 36 64 64 2.4
+16 0 0 0 0 36 68 64 3
+16 0 0 0 0 36 72 64 3.6
+16 0 0 0 0 36 76 64 4.2
+16 0 0 0 0 36 80 64 4.8
+16 0 0 0 0 36 84 64 5.4
+16 0 0 0 0 36 88 64 6
+16 0 0 0 0 36 92 64 6.6
+16 0 0 0 0 36 96 64 7.2
+16 0 0 0 0 36 100 64 7.8
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 1.35
+17 0 2 0 0 36 40 64 1.2
+17 0 2 0 0 36 41 64 1.05
+17 0 2 0 0 36 42 64 0.9
+17 0 2 0 0 36 43 64 0.75
+17 0 2 0 0 36 44 64 0.6
+17 0 2 0 0 36 45 64 0.45
+17 0 2 0 0 36 46 64 0.3
+17 0 2 0 0 36 47 64 0.15
+17 0 2 0 0 36 48 64 6.2803698347351e-16
+17 0 2 0 0 36 49 64 0.15
+17 0 2 0 0 36 50 64 0.3
+17 0 2 0 0 36 51 64 0.45
+17 0 2 0 0 36 52 64 0.6
+17 0 2 0 0 36 53 64 0.75
+17 0 2 0 0 36 54 64 0.899999999999999
+17 0 2 0 0 36 55 64 1.05
+17 0 2 0 0 36 56 64 1.2
+17 0 2 0 0 36 57 64 1.35
+17 0 2 0 0 36 58 64 1.5
+17 0 2 0 0 36 59 64 1.65
+17 0 2 0 0 36 60 64 1.8
+17 0 2 0 0 36 61 64 1.95
+17 0 2 0 0 36 62 64 2.1
+17 0 2 0 0 36 63 64 2.25
+17 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 1.35
+18 0 2 0 0 36 40 64 1.2
+18 0 2 0 0 36 41 64 1.05
+18 0 2 0 0 36 42 64 0.9
+18 0 2 0 0 36 43 64 0.75
+18 0 2 0 0 36 44 64 0.6
+18 0 2 0 0 36 45 64 0.45
+18 0 2 0 0 36 46 64 0.3
+18 0 2 0 0 36 47 64 0.15
+18 0 2 0 0 36 48 64 6.2803698347351e-16
+18 0 2 0 0 36 49 64 0.15
+18 0 2 0 0 36 50 64 0.3
+18 0 2 0 0 36 51 64 0.45
+18 0 2 0 0 36 52 64 0.6
+18 0 2 0 0 36 53 64 0.75
+18 0 2 0 0 36 54 64 0.899999999999999
+18 0 2 0 0 36 55 64 1.05
+18 0 2 0 0 36 56 64 1.2
+18 0 2 0 0 36 57 64 1.35
+18 0 2 0 0 36 58 64 1.5
+18 0 2 0 0 36 59 64 1.65
+18 0 2 0 0 36 60 64 1.8
+18 0 2 0 0 36 61 64 1.95
+18 0 2 0 0 36 62 64 2.1
+18 0 2 0 0 36 63 64 2.25
+18 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 3.3
+18 0 1 0 0 36 28 64 3
+18 0 1 0 0 36 30 64 2.7
+18 0 1 0 0 36 32 64 2.4
+18 0 1 0 0 36 34 64 2.1
+18 0 1 0 0 36 36 64 1.8
+18 0 1 0 0 36 38 64 1.5
+18 0 1 0 0 36 40 64 1.2
+18 0 1 0 0 36 42 64 0.9
+18 0 1 0 0 36 44 64 0.6
+18 0 1 0 0 36 46 64 0.3
+18 0 1 0 0 36 48 64 6.2803698347351e-16
+18 0 1 0 0 36 50 64 0.3
+18 0 1 0 0 36 52 64 0.6
+18 0 1 0 0 36 54 64 0.899999999999999
+18 0 1 0 0 36 56 64 1.2
+18 0 1 0 0 36 58 64 1.5
+18 0 1 0 0 36 60 64 1.8
+18 0 1 0 0 36 62 64 2.1
+18 0 1 0 0 36 64 64 2.4
+18 0 1 0 0 36 66 64 2.7
+18 0 1 0 0 36 68 64 3
+18 0 1 0 0 36 70 64 3.3
+18 0 1 0 0 36 72 64 3.6
+18 0 1 0 0 36 74 64 3.9
+18 0 1 0 0 36 76 64 4.2
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 1.35
+19 0 2 0 0 36 40 64 1.2
+19 0 2 0 0 36 41 64 1.05
+19 0 2 0 0 36 42 64 0.9
+19 0 2 0 0 36 43 64 0.75
+19 0 2 0 0 36 44 64 0.6
+19 0 2 0 0 36 45 64 0.45
+19 0 2 0 0 36 46 64 0.3
+19 0 2 0 0 36 47 64 0.15
+19 0 2 0 0 36 48 64 6.2803698347351e-16
+19 0 2 0 0 36 49 64 0.15
+19 0 2 0 0 36 50 64 0.3
+19 0 2 0 0 36 51 64 0.45
+19 0 2 0 0 36 52 64 0.6
+19 0 2 0 0 36 53 64 0.75
+19 0 2 0 0 36 54 64 0.899999999999999
+19 0 2 0 0 36 55 64 1.05
+19 0 2 0 0 36 56 64 1.2
+19 0 2 0 0 36 57 64 1.35
+19 0 2 0 0 36 58 64 1.5
+19 0 2 0 0 36 59 64 1.65
+19 0 2 0 0 36 60 64 1.8
+19 0 2 0 0 36 61 64 1.95
+19 0 2 0 0 36 62 64 2.1
+19 0 2 0 0 36 63 64 2.25
+19 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 1.35
+20 0 2 0 0 36 40 64 1.2
+20 0 2 0 0 36 41 64 1.05
+20 0 2 0 0 36 42 64 0.9
+20 0 2 0 0 36 43 64 0.75
+20 0 2 0 0 36 44 64 0.6
+20 0 2 0 0 36 45 64 0.45
+20 0 2 0 0 36 46 64 0.3
+20 0 2 0 0 36 47 64 0.15
+20 0 2 0 0 36 48 64 6.2803698347351e-16
+20 0 2 0 0 36 49 64 0.15
+20 0 2 0 0 36 50 64 0.3
+20 0 2 0 0 36 51 64 0.45
+20 0 2 0 0 36 52 64 0.6
+20 0 2 0 0 36 53 64 0.75
+20 0 2 0 0 36 54 64 0.899999999999999
+20 0 2 0 0 36 55 64 1.05
+20 0 2 0 0 36 56 64 1.2
+20 0 2 0 0 36 57 64 1.35
+20 0 2 0 0 36 58 64 1.5
+20 0 2 0 0 36 59 64 1.65
+20 0 2 0 0 36 60 64 1.8
+20 0 2 0 0 36 61 64 1.95
+20 0 2 0 0 36 62 64 2.1
+20 0 2 0 0 36 63 64 2.25
+20 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 3.3
+20 0 1 0 0 36 28 64 3
+20 0 1 0 0 36 30 64 2.7
+20 0 1 0 0 36 32 64 2.4
+20 0 1 0 0 36 34 64 2.1
+20 0 1 0 0 36 36 64 1.8
+20 0 1 0 0 36 38 64 1.5
+20 0 1 0 0 36 40 64 1.2
+20 0 1 0 0 36 42 64 0.9
+20 0 1 0 0 36 44 64 0.6
+20 0 1 0 0 36 46 64 0.3
+20 0 1 0 0 36 48 64 6.2803698347351e-16
+20 0 1 0 0 36 50 64 0.3
+20 0 1 0 0 36 52 64 0.6
+20 0 1 0 0 36 54 64 0.899999999999999
+20 0 1 0 0 36 56 64 1.2
+20 0 1 0 0 36 58 64 1.5
+20 0 1 0 0 36 60 64 1.8
+20 0 1 0 0 36 62 64 2.1
+20 0 1 0 0 36 64 64 2.4
+20 0 1 0 0 36 66 64 2.7
+20 0 1 0 0 36 68 64 3
+20 0 1 0 0 36 70 64 3.3
+20 0 1 0 0 36 72 64 3.6
+20 0 1 0 0 36 74 64 3.9
+20 0 1 0 0 36 76 64 4.2
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 7.2
+20 0 0 0 0 36 4 64 6.6
+20 0 0 0 0 36 8 64 6
+20 0 0 0 0 36 12 64 5.4
+20 0 0 0 0 36 16 64 4.8
+20 0 0 0 0 36 20 64 4.2
+20 0 0 0 0 36 24 64 3.6
+20 0 0 0 0 36 28 64 3
+20 0 0 0 0 36 32 64 2.4
+20 0 0 0 0 36 36 64 1.8
+20 0 0 0 0 36 40 64 1.2
+20 0 0 0 0 36 44 64 0.6
+20 0 0 0 0 36 48 64 6.2803698347351e-16
+20 0 0 0 0 36 52 64 0.6
+20 0 0 0 0 36 56 64 1.2
+20 0 0 0 0 36 60 64 1.8
+20 0 0 0 0 36 64 64 2.4
+20 0 0 0 0 36 68 64 3
+20 0 0 0 0 36 72 64 3.6
+20 0 0 0 0 36 76 64 4.2
+20 0 0 0 0 36 80 64 4.8
+20 0 0 0 0 36 84 64 5.4
+20 0 0 0 0 36 88 64 6
+20 0 0 0 0 36 92 64 6.6
+20 0 0 0 0 36 96 64 7.2
+20 0 0 0 0 36 100 64 7.8
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 1.35
+21 0 2 0 0 36 40 64 1.2
+21 0 2 0 0 36 41 64 1.05
+21 0 2 0 0 36 42 64 0.9
+21 0 2 0 0 36 43 64 0.75
+21 0 2 0 0 36 44 64 0.6
+21 0 2 0 0 36 45 64 0.45
+21 0 2 0 0 36 46 64 0.3
+21 0 2 0 0 36 47 64 0.15
+21 0 2 0 0 36 48 64 6.2803698347351e-16
+21 0 2 0 0 36 49 64 0.15
+21 0 2 0 0 36 50 64 0.3
+21 0 2 0 0 36 51 64 0.45
+21 0 2 0 0 36 52 64 0.6
+21 0 2 0 0 36 53 64 0.75
+21 0 2 0 0 36 54 64 0.899999999999999
+21 0 2 0 0 36 55 64 1.05
+21 0 2 0 0 36 56 64 1.2
+21 0 2 0 0 36 57 64 1.35
+21 0 2 0 0 36 58 64 1.5
+21 0 2 0 0 36 59 64 1.65
+21 0 2 0 0 36 60 64 1.8
+21 0 2 0 0 36 61 64 1.95
+21 0 2 0 0 36 62 64 2.1
+21 0 2 0 0 36 63 64 2.25
+21 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 1.35
+22 0 2 0 0 36 40 64 1.2
+22 0 2 0 0 36 41 64 1.05
+22 0 2 0 0 36 42 64 0.9
+22 0 2 0 0 36 43 64 0.75
+22 0 2 0 0 36 44 64 0.6
+22 0 2 0 0 36 45 64 0.45
+22 0 2 0 0 36 46 64 0.3
+22 0 2 0 0 36 47 64 0.15
+22 0 2 0 0 36 48 64 6.2803698347351e-16
+22 0 2 0 0 36 49 64 0.15
+22 0 2 0 0 36 50 64 0.3
+22 0 2 0 0 36 51 64 0.45
+22 0 2 0 0 36 52 64 0.6
+22 0 2 0 0 36 53 64 0.75
+22 0 2 0 0 36 54 64 0.899999999999999
+22 0 2 0 0 36 55 64 1.05
+22 0 2 0 0 36 56 64 1.2
+22 0 2 0 0 36 57 64 1.35
+22 0 2 0 0 36 58 64 1.5
+22 0 2 0 0 36 59 64 1.65
+22 0 2 0 0 36 60 64 1.8
+22 0 2 0 0 36 61 64 1.95
+22 0 2 0 0 36 62 64 2.1
+22 0 2 0 0 36 63 64 2.25
+22 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 3.3
+22 0 1 0 0 36 28 64 3
+22 0 1 0 0 36 30 64 2.7
+22 0 1 0 0 36 32 64 2.4
+22 0 1 0 0 36 34 64 2.1
+22 0 1 0 0 36 36 64 1.8
+22 0 1 0 0 36 38 64 1.5
+22 0 1 0 0 36 40 64 1.2
+22 0 1 0 0 36 42 64 0.9
+22 0 1 0 0 36 44 64 0.6
+22 0 1 0 0 36 46 64 0.3
+22 0 1 0 0 36 48 64 6.2803698347351e-16
+22 0 1 0 0 36 50 64 0.3
+22 0 1 0 0 36 52 64 0.6
+22 0 1 0 0 36 54 64 0.899999999999999
+22 0 1 0 0 36 56 64 1.2
+22 0 1 0 0 36 58 64 1.5
+22 0 1 0 0 36 60 64 1.8
+22 0 1 0 0 36 62 64 2.1
+22 0 1 0 0 36 64 64 2.4
+22 0 1 0 0 36 66 64 2.7
+22 0 1 0 0 36 68 64 3
+22 0 1 0 0 36 70 64 3.3
+22 0 1 0 0 36 72 64 3.6
+22 0 1 0 0 36 74 64 3.9
+22 0 1 0 0 36 76 64 4.2
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 1.35
+23 0 2 0 0 36 40 64 1.2
+23 0 2 0 0 36 41 64 1.05
+23 0 2 0 0 36 42 64 0.9
+23 0 2 0 0 36 43 64 0.75
+23 0 2 0 0 36 44 64 0.6
+23 0 2 0 0 36 45 64 0.45
+23 0 2 0 0 36 46 64 0.3
+23 0 2 0 0 36 47 64 0.15
+23 0 2 0 0 36 48 64 6.2803698347351e-16
+23 0 2 0 0 36 49 64 0.15
+23 0 2 0 0 36 50 64 0.3
+23 0 2 0 0 36 51 64 0.45
+23 0 2 0 0 36 52 64 0.6
+23 0 2 0 0 36 53 64 0.75
+23 0 2 0 0 36 54 64 0.899999999999999
+23 0 2 0 0 36 55 64 1.05
+23 0 2 0 0 36 56 64 1.2
+23 0 2 0 0 36 57 64 1.35
+23 0 2 0 0 36 58 64 1.5
+23 0 2 0 0 36 59 64 1.65
+23 0 2 0 0 36 60 64 1.8
+23 0 2 0 0 36 61 64 1.95
+23 0 2 0 0 36 62 64 2.1
+23 0 2 0 0 36 63 64 2.25
+23 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 1.35
+24 0 2 0 0 36 40 64 1.2
+24 0 2 0 0 36 41 64 1.05
+24 0 2 0 0 36 42 64 0.9
+24 0 2 0 0 36 43 64 0.75
+24 0 2 0 0 36 44 64 0.6
+24 0 2 0 0 36 45 64 0.45
+24 0 2 0 0 36 46 64 0.3
+24 0 2 0 0 36 47 64 0.15
+24 0 2 0 0 36 48 64 6.2803698347351e-16
+24 0 2 0 0 36 49 64 0.15
+24 0 2 0 0 36 50 64 0.3
+24 0 2 0 0 36 51 64 0.45
+24 0 2 0 0 36 52 64 0.6
+24 0 2 0 0 36 53 64 0.75
+24 0 2 0 0 36 54 64 0.899999999999999
+24 0 2 0 0 36 55 64 1.05
+24 0 2 0 0 36 56 64 1.2
+24 0 2 0 0 36 57 64 1.35
+24 0 2 0 0 36 58 64 1.5
+24 0 2 0 0 36 59 64 1.65
+24 0 2 0 0 36 60 64 1.8
+24 0 2 0 0 36 61 64 1.95
+24 0 2 0 0 36 62 64 2.1
+24 0 2 0 0 36 63 64 2.25
+24 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 3.3
+24 0 1 0 0 36 28 64 3
+24 0 1 0 0 36 30 64 2.7
+24 0 1 0 0 36 32 64 2.4
+24 0 1 0 0 36 34 64 2.1
+24 0 1 0 0 36 36 64 1.8
+24 0 1 0 0 36 38 64 1.5
+24 0 1 0 0 36 40 64 1.2
+24 0 1 0 0 36 42 64 0.9
+24 0 1 0 0 36 44 64 0.6
+24 0 1 0 0 36 46 64 0.3
+24 0 1 0 0 36 48 64 6.2803698347351e-16
+24 0 1 0 0 36 50 64 0.3
+24 0 1 0 0 36 52 64 0.6
+24 0 1 0 0 36 54 64 0.899999999999999
+24 0 1 0 0 36 56 64 1.2
+24 0 1 0 0 36 58 64 1.5
+24 0 1 0 0 36 60 64 1.8
+24 0 1 0 0 36 62 64 2.1
+24 0 1 0 0 36 64 64 2.4
+24 0 1 0 0 36 66 64 2.7
+24 0 1 0 0 36 68 64 3
+24 0 1 0 0 36 70 64 3.3
+24 0 1 0 0 36 72 64 3.6
+24 0 1 0 0 36 74 64 3.9
+24 0 1 0 0 36 76 64 4.2
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 7.2
+24 0 0 0 0 36 4 64 6.6
+24 0 0 0 0 36 8 64 6
+24 0 0 0 0 36 12 64 5.4
+24 0 0 0 0 36 16 64 4.8
+24 0 0 0 0 36 20 64 4.2
+24 0 0 0 0 36 24 64 3.6
+24 0 0 0 0 36 28 64 3
+24 0 0 0 0 36 32 64 2.4
+24 0 0 0 0 36 36 64 1.8
+24 0 0 0 0 36 40 64 1.2
+24 0 0 0 0 36 44 64 0.6
+24 0 0 0 0 36 48 64 6.2803698347351e-16
+24 0 0 0 0 36 52 64 0.6
+24 0 0 0 0 36 56 64 1.2
+24 0 0 0 0 36 60 64 1.8
+24 0 0 0 0 36 64 64 2.4
+24 0 0 0 0 36 68 64 3
+24 0 0 0 0 36 72 64 3.6
+24 0 0 0 0 36 76 64 4.2
+24 0 0 0 0 36 80 64 4.8
+24 0 0 0 0 36 84 64 5.4
+24 0 0 0 0 36 88 64 6
+24 0 0 0 0 36 92 64 6.6
+24 0 0 0 0 36 96 64 7.2
+24 0 0 0 0 36 100 64 7.8
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.zl
new file mode 100644
index 000000000..6577f6504
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.zl
@@ -0,0 +1,1757 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 1.95
+0 0 2 0 0 36 48 52 1.8
+0 0 2 0 0 36 48 53 1.65
+0 0 2 0 0 36 48 54 1.5
+0 0 2 0 0 36 48 55 1.35
+0 0 2 0 0 36 48 56 1.2
+0 0 2 0 0 36 48 57 1.05
+0 0 2 0 0 36 48 58 0.9
+0 0 2 0 0 36 48 59 0.75
+0 0 2 0 0 36 48 60 0.6
+0 0 2 0 0 36 48 61 0.45
+0 0 2 0 0 36 48 62 0.3
+0 0 2 0 0 36 48 63 0.15
+0 0 2 0 0 36 48 64 6.2803698347351e-16
+0 0 2 0 0 36 48 65 0.15
+0 0 2 0 0 36 48 66 0.3
+0 0 2 0 0 36 48 67 0.45
+0 0 2 0 0 36 48 68 0.6
+0 0 2 0 0 36 48 69 0.75
+0 0 2 0 0 36 48 70 0.9
+0 0 2 0 0 36 48 71 1.05
+0 0 2 0 0 36 48 72 1.2
+0 0 2 0 0 36 48 73 1.35
+0 0 2 0 0 36 48 74 1.5
+0 0 2 0 0 36 48 75 1.65
+0 0 2 0 0 36 48 76 1.8
+0 0 2 0 0 36 48 77 1.95
+0 0 2 0 0 36 48 78 2.1
+0 0 2 0 0 36 48 79 2.25
+0 0 2 0 0 36 48 80 2.4
+0 0 2 0 0 36 48 81 2.55
+0 0 2 0 0 36 48 82 2.7
+0 0 2 0 0 36 48 83 2.85
+0 0 2 0 0 36 48 84 3
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 4.5
+0 0 1 0 0 36 48 36 4.2
+0 0 1 0 0 36 48 38 3.9
+0 0 1 0 0 36 48 40 3.6
+0 0 1 0 0 36 48 42 3.3
+0 0 1 0 0 36 48 44 3
+0 0 1 0 0 36 48 46 2.7
+0 0 1 0 0 36 48 48 2.4
+0 0 1 0 0 36 48 50 2.1
+0 0 1 0 0 36 48 52 1.8
+0 0 1 0 0 36 48 54 1.5
+0 0 1 0 0 36 48 56 1.2
+0 0 1 0 0 36 48 58 0.9
+0 0 1 0 0 36 48 60 0.6
+0 0 1 0 0 36 48 62 0.3
+0 0 1 0 0 36 48 64 6.2803698347351e-16
+0 0 1 0 0 36 48 66 0.3
+0 0 1 0 0 36 48 68 0.6
+0 0 1 0 0 36 48 70 0.9
+0 0 1 0 0 36 48 72 1.2
+0 0 1 0 0 36 48 74 1.5
+0 0 1 0 0 36 48 76 1.8
+0 0 1 0 0 36 48 78 2.1
+0 0 1 0 0 36 48 80 2.4
+0 0 1 0 0 36 48 82 2.7
+0 0 1 0 0 36 48 84 3
+0 0 1 0 0 36 48 86 3.3
+0 0 1 0 0 36 48 88 3.6
+0 0 1 0 0 36 48 90 3.9
+0 0 1 0 0 36 48 92 4.2
+0 0 1 0 0 36 48 94 4.5
+0 0 1 0 0 36 48 96 4.8
+0 0 1 0 0 36 48 98 5.1
+0 0 1 0 0 36 48 100 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 9.6
+0 0 0 0 0 36 48 4 9
+0 0 0 0 0 36 48 8 8.4
+0 0 0 0 0 36 48 12 7.8
+0 0 0 0 0 36 48 16 7.2
+0 0 0 0 0 36 48 20 6.6
+0 0 0 0 0 36 48 24 6
+0 0 0 0 0 36 48 28 5.4
+0 0 0 0 0 36 48 32 4.8
+0 0 0 0 0 36 48 36 4.2
+0 0 0 0 0 36 48 40 3.6
+0 0 0 0 0 36 48 44 3
+0 0 0 0 0 36 48 48 2.4
+0 0 0 0 0 36 48 52 1.8
+0 0 0 0 0 36 48 56 1.2
+0 0 0 0 0 36 48 60 0.6
+0 0 0 0 0 36 48 64 6.2803698347351e-16
+0 0 0 0 0 36 48 68 0.6
+0 0 0 0 0 36 48 72 1.2
+0 0 0 0 0 36 48 76 1.8
+0 0 0 0 0 36 48 80 2.4
+0 0 0 0 0 36 48 84 3
+0 0 0 0 0 36 48 88 3.6
+0 0 0 0 0 36 48 92 4.2
+0 0 0 0 0 36 48 96 4.8
+0 0 0 0 0 36 48 100 5.4
+0 0 0 0 0 36 48 104 6
+0 0 0 0 0 36 48 108 6.6
+0 0 0 0 0 36 48 112 7.2
+0 0 0 0 0 36 48 116 7.8
+0 0 0 0 0 36 48 120 8.4
+0 0 0 0 0 36 48 124 9
+0 0 0 0 0 36 48 128 9.6
+0 0 0 0 0 36 48 132 10.2
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 1.95
+1 0 2 0 0 36 48 52 1.8
+1 0 2 0 0 36 48 53 1.65
+1 0 2 0 0 36 48 54 1.5
+1 0 2 0 0 36 48 55 1.35
+1 0 2 0 0 36 48 56 1.2
+1 0 2 0 0 36 48 57 1.05
+1 0 2 0 0 36 48 58 0.9
+1 0 2 0 0 36 48 59 0.75
+1 0 2 0 0 36 48 60 0.6
+1 0 2 0 0 36 48 61 0.45
+1 0 2 0 0 36 48 62 0.3
+1 0 2 0 0 36 48 63 0.15
+1 0 2 0 0 36 48 64 6.2803698347351e-16
+1 0 2 0 0 36 48 65 0.15
+1 0 2 0 0 36 48 66 0.3
+1 0 2 0 0 36 48 67 0.45
+1 0 2 0 0 36 48 68 0.6
+1 0 2 0 0 36 48 69 0.75
+1 0 2 0 0 36 48 70 0.9
+1 0 2 0 0 36 48 71 1.05
+1 0 2 0 0 36 48 72 1.2
+1 0 2 0 0 36 48 73 1.35
+1 0 2 0 0 36 48 74 1.5
+1 0 2 0 0 36 48 75 1.65
+1 0 2 0 0 36 48 76 1.8
+1 0 2 0 0 36 48 77 1.95
+1 0 2 0 0 36 48 78 2.1
+1 0 2 0 0 36 48 79 2.25
+1 0 2 0 0 36 48 80 2.4
+1 0 2 0 0 36 48 81 2.55
+1 0 2 0 0 36 48 82 2.7
+1 0 2 0 0 36 48 83 2.85
+1 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 1.95
+2 0 2 0 0 36 48 52 1.8
+2 0 2 0 0 36 48 53 1.65
+2 0 2 0 0 36 48 54 1.5
+2 0 2 0 0 36 48 55 1.35
+2 0 2 0 0 36 48 56 1.2
+2 0 2 0 0 36 48 57 1.05
+2 0 2 0 0 36 48 58 0.9
+2 0 2 0 0 36 48 59 0.75
+2 0 2 0 0 36 48 60 0.6
+2 0 2 0 0 36 48 61 0.45
+2 0 2 0 0 36 48 62 0.3
+2 0 2 0 0 36 48 63 0.15
+2 0 2 0 0 36 48 64 6.2803698347351e-16
+2 0 2 0 0 36 48 65 0.15
+2 0 2 0 0 36 48 66 0.3
+2 0 2 0 0 36 48 67 0.45
+2 0 2 0 0 36 48 68 0.6
+2 0 2 0 0 36 48 69 0.75
+2 0 2 0 0 36 48 70 0.9
+2 0 2 0 0 36 48 71 1.05
+2 0 2 0 0 36 48 72 1.2
+2 0 2 0 0 36 48 73 1.35
+2 0 2 0 0 36 48 74 1.5
+2 0 2 0 0 36 48 75 1.65
+2 0 2 0 0 36 48 76 1.8
+2 0 2 0 0 36 48 77 1.95
+2 0 2 0 0 36 48 78 2.1
+2 0 2 0 0 36 48 79 2.25
+2 0 2 0 0 36 48 80 2.4
+2 0 2 0 0 36 48 81 2.55
+2 0 2 0 0 36 48 82 2.7
+2 0 2 0 0 36 48 83 2.85
+2 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 4.5
+2 0 1 0 0 36 48 36 4.2
+2 0 1 0 0 36 48 38 3.9
+2 0 1 0 0 36 48 40 3.6
+2 0 1 0 0 36 48 42 3.3
+2 0 1 0 0 36 48 44 3
+2 0 1 0 0 36 48 46 2.7
+2 0 1 0 0 36 48 48 2.4
+2 0 1 0 0 36 48 50 2.1
+2 0 1 0 0 36 48 52 1.8
+2 0 1 0 0 36 48 54 1.5
+2 0 1 0 0 36 48 56 1.2
+2 0 1 0 0 36 48 58 0.9
+2 0 1 0 0 36 48 60 0.6
+2 0 1 0 0 36 48 62 0.3
+2 0 1 0 0 36 48 64 6.2803698347351e-16
+2 0 1 0 0 36 48 66 0.3
+2 0 1 0 0 36 48 68 0.6
+2 0 1 0 0 36 48 70 0.9
+2 0 1 0 0 36 48 72 1.2
+2 0 1 0 0 36 48 74 1.5
+2 0 1 0 0 36 48 76 1.8
+2 0 1 0 0 36 48 78 2.1
+2 0 1 0 0 36 48 80 2.4
+2 0 1 0 0 36 48 82 2.7
+2 0 1 0 0 36 48 84 3
+2 0 1 0 0 36 48 86 3.3
+2 0 1 0 0 36 48 88 3.6
+2 0 1 0 0 36 48 90 3.9
+2 0 1 0 0 36 48 92 4.2
+2 0 1 0 0 36 48 94 4.5
+2 0 1 0 0 36 48 96 4.8
+2 0 1 0 0 36 48 98 5.1
+2 0 1 0 0 36 48 100 5.4
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 1.95
+3 0 2 0 0 36 48 52 1.8
+3 0 2 0 0 36 48 53 1.65
+3 0 2 0 0 36 48 54 1.5
+3 0 2 0 0 36 48 55 1.35
+3 0 2 0 0 36 48 56 1.2
+3 0 2 0 0 36 48 57 1.05
+3 0 2 0 0 36 48 58 0.9
+3 0 2 0 0 36 48 59 0.75
+3 0 2 0 0 36 48 60 0.6
+3 0 2 0 0 36 48 61 0.45
+3 0 2 0 0 36 48 62 0.3
+3 0 2 0 0 36 48 63 0.15
+3 0 2 0 0 36 48 64 6.2803698347351e-16
+3 0 2 0 0 36 48 65 0.15
+3 0 2 0 0 36 48 66 0.3
+3 0 2 0 0 36 48 67 0.45
+3 0 2 0 0 36 48 68 0.6
+3 0 2 0 0 36 48 69 0.75
+3 0 2 0 0 36 48 70 0.9
+3 0 2 0 0 36 48 71 1.05
+3 0 2 0 0 36 48 72 1.2
+3 0 2 0 0 36 48 73 1.35
+3 0 2 0 0 36 48 74 1.5
+3 0 2 0 0 36 48 75 1.65
+3 0 2 0 0 36 48 76 1.8
+3 0 2 0 0 36 48 77 1.95
+3 0 2 0 0 36 48 78 2.1
+3 0 2 0 0 36 48 79 2.25
+3 0 2 0 0 36 48 80 2.4
+3 0 2 0 0 36 48 81 2.55
+3 0 2 0 0 36 48 82 2.7
+3 0 2 0 0 36 48 83 2.85
+3 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 1.95
+4 0 2 0 0 36 48 52 1.8
+4 0 2 0 0 36 48 53 1.65
+4 0 2 0 0 36 48 54 1.5
+4 0 2 0 0 36 48 55 1.35
+4 0 2 0 0 36 48 56 1.2
+4 0 2 0 0 36 48 57 1.05
+4 0 2 0 0 36 48 58 0.9
+4 0 2 0 0 36 48 59 0.75
+4 0 2 0 0 36 48 60 0.6
+4 0 2 0 0 36 48 61 0.45
+4 0 2 0 0 36 48 62 0.3
+4 0 2 0 0 36 48 63 0.15
+4 0 2 0 0 36 48 64 6.2803698347351e-16
+4 0 2 0 0 36 48 65 0.15
+4 0 2 0 0 36 48 66 0.3
+4 0 2 0 0 36 48 67 0.45
+4 0 2 0 0 36 48 68 0.6
+4 0 2 0 0 36 48 69 0.75
+4 0 2 0 0 36 48 70 0.9
+4 0 2 0 0 36 48 71 1.05
+4 0 2 0 0 36 48 72 1.2
+4 0 2 0 0 36 48 73 1.35
+4 0 2 0 0 36 48 74 1.5
+4 0 2 0 0 36 48 75 1.65
+4 0 2 0 0 36 48 76 1.8
+4 0 2 0 0 36 48 77 1.95
+4 0 2 0 0 36 48 78 2.1
+4 0 2 0 0 36 48 79 2.25
+4 0 2 0 0 36 48 80 2.4
+4 0 2 0 0 36 48 81 2.55
+4 0 2 0 0 36 48 82 2.7
+4 0 2 0 0 36 48 83 2.85
+4 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 4.5
+4 0 1 0 0 36 48 36 4.2
+4 0 1 0 0 36 48 38 3.9
+4 0 1 0 0 36 48 40 3.6
+4 0 1 0 0 36 48 42 3.3
+4 0 1 0 0 36 48 44 3
+4 0 1 0 0 36 48 46 2.7
+4 0 1 0 0 36 48 48 2.4
+4 0 1 0 0 36 48 50 2.1
+4 0 1 0 0 36 48 52 1.8
+4 0 1 0 0 36 48 54 1.5
+4 0 1 0 0 36 48 56 1.2
+4 0 1 0 0 36 48 58 0.9
+4 0 1 0 0 36 48 60 0.6
+4 0 1 0 0 36 48 62 0.3
+4 0 1 0 0 36 48 64 6.2803698347351e-16
+4 0 1 0 0 36 48 66 0.3
+4 0 1 0 0 36 48 68 0.6
+4 0 1 0 0 36 48 70 0.9
+4 0 1 0 0 36 48 72 1.2
+4 0 1 0 0 36 48 74 1.5
+4 0 1 0 0 36 48 76 1.8
+4 0 1 0 0 36 48 78 2.1
+4 0 1 0 0 36 48 80 2.4
+4 0 1 0 0 36 48 82 2.7
+4 0 1 0 0 36 48 84 3
+4 0 1 0 0 36 48 86 3.3
+4 0 1 0 0 36 48 88 3.6
+4 0 1 0 0 36 48 90 3.9
+4 0 1 0 0 36 48 92 4.2
+4 0 1 0 0 36 48 94 4.5
+4 0 1 0 0 36 48 96 4.8
+4 0 1 0 0 36 48 98 5.1
+4 0 1 0 0 36 48 100 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 9.6
+4 0 0 0 0 36 48 4 9
+4 0 0 0 0 36 48 8 8.4
+4 0 0 0 0 36 48 12 7.8
+4 0 0 0 0 36 48 16 7.2
+4 0 0 0 0 36 48 20 6.6
+4 0 0 0 0 36 48 24 6
+4 0 0 0 0 36 48 28 5.4
+4 0 0 0 0 36 48 32 4.8
+4 0 0 0 0 36 48 36 4.2
+4 0 0 0 0 36 48 40 3.6
+4 0 0 0 0 36 48 44 3
+4 0 0 0 0 36 48 48 2.4
+4 0 0 0 0 36 48 52 1.8
+4 0 0 0 0 36 48 56 1.2
+4 0 0 0 0 36 48 60 0.6
+4 0 0 0 0 36 48 64 6.2803698347351e-16
+4 0 0 0 0 36 48 68 0.6
+4 0 0 0 0 36 48 72 1.2
+4 0 0 0 0 36 48 76 1.8
+4 0 0 0 0 36 48 80 2.4
+4 0 0 0 0 36 48 84 3
+4 0 0 0 0 36 48 88 3.6
+4 0 0 0 0 36 48 92 4.2
+4 0 0 0 0 36 48 96 4.8
+4 0 0 0 0 36 48 100 5.4
+4 0 0 0 0 36 48 104 6
+4 0 0 0 0 36 48 108 6.6
+4 0 0 0 0 36 48 112 7.2
+4 0 0 0 0 36 48 116 7.8
+4 0 0 0 0 36 48 120 8.4
+4 0 0 0 0 36 48 124 9
+4 0 0 0 0 36 48 128 9.6
+4 0 0 0 0 36 48 132 10.2
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 1.95
+5 0 2 0 0 36 48 52 1.8
+5 0 2 0 0 36 48 53 1.65
+5 0 2 0 0 36 48 54 1.5
+5 0 2 0 0 36 48 55 1.35
+5 0 2 0 0 36 48 56 1.2
+5 0 2 0 0 36 48 57 1.05
+5 0 2 0 0 36 48 58 0.9
+5 0 2 0 0 36 48 59 0.75
+5 0 2 0 0 36 48 60 0.6
+5 0 2 0 0 36 48 61 0.45
+5 0 2 0 0 36 48 62 0.3
+5 0 2 0 0 36 48 63 0.15
+5 0 2 0 0 36 48 64 6.2803698347351e-16
+5 0 2 0 0 36 48 65 0.15
+5 0 2 0 0 36 48 66 0.3
+5 0 2 0 0 36 48 67 0.45
+5 0 2 0 0 36 48 68 0.6
+5 0 2 0 0 36 48 69 0.75
+5 0 2 0 0 36 48 70 0.9
+5 0 2 0 0 36 48 71 1.05
+5 0 2 0 0 36 48 72 1.2
+5 0 2 0 0 36 48 73 1.35
+5 0 2 0 0 36 48 74 1.5
+5 0 2 0 0 36 48 75 1.65
+5 0 2 0 0 36 48 76 1.8
+5 0 2 0 0 36 48 77 1.95
+5 0 2 0 0 36 48 78 2.1
+5 0 2 0 0 36 48 79 2.25
+5 0 2 0 0 36 48 80 2.4
+5 0 2 0 0 36 48 81 2.55
+5 0 2 0 0 36 48 82 2.7
+5 0 2 0 0 36 48 83 2.85
+5 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 1.95
+6 0 2 0 0 36 48 52 1.8
+6 0 2 0 0 36 48 53 1.65
+6 0 2 0 0 36 48 54 1.5
+6 0 2 0 0 36 48 55 1.35
+6 0 2 0 0 36 48 56 1.2
+6 0 2 0 0 36 48 57 1.05
+6 0 2 0 0 36 48 58 0.9
+6 0 2 0 0 36 48 59 0.75
+6 0 2 0 0 36 48 60 0.6
+6 0 2 0 0 36 48 61 0.45
+6 0 2 0 0 36 48 62 0.3
+6 0 2 0 0 36 48 63 0.15
+6 0 2 0 0 36 48 64 6.2803698347351e-16
+6 0 2 0 0 36 48 65 0.15
+6 0 2 0 0 36 48 66 0.3
+6 0 2 0 0 36 48 67 0.45
+6 0 2 0 0 36 48 68 0.6
+6 0 2 0 0 36 48 69 0.75
+6 0 2 0 0 36 48 70 0.9
+6 0 2 0 0 36 48 71 1.05
+6 0 2 0 0 36 48 72 1.2
+6 0 2 0 0 36 48 73 1.35
+6 0 2 0 0 36 48 74 1.5
+6 0 2 0 0 36 48 75 1.65
+6 0 2 0 0 36 48 76 1.8
+6 0 2 0 0 36 48 77 1.95
+6 0 2 0 0 36 48 78 2.1
+6 0 2 0 0 36 48 79 2.25
+6 0 2 0 0 36 48 80 2.4
+6 0 2 0 0 36 48 81 2.55
+6 0 2 0 0 36 48 82 2.7
+6 0 2 0 0 36 48 83 2.85
+6 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 4.5
+6 0 1 0 0 36 48 36 4.2
+6 0 1 0 0 36 48 38 3.9
+6 0 1 0 0 36 48 40 3.6
+6 0 1 0 0 36 48 42 3.3
+6 0 1 0 0 36 48 44 3
+6 0 1 0 0 36 48 46 2.7
+6 0 1 0 0 36 48 48 2.4
+6 0 1 0 0 36 48 50 2.1
+6 0 1 0 0 36 48 52 1.8
+6 0 1 0 0 36 48 54 1.5
+6 0 1 0 0 36 48 56 1.2
+6 0 1 0 0 36 48 58 0.9
+6 0 1 0 0 36 48 60 0.6
+6 0 1 0 0 36 48 62 0.3
+6 0 1 0 0 36 48 64 6.2803698347351e-16
+6 0 1 0 0 36 48 66 0.3
+6 0 1 0 0 36 48 68 0.6
+6 0 1 0 0 36 48 70 0.9
+6 0 1 0 0 36 48 72 1.2
+6 0 1 0 0 36 48 74 1.5
+6 0 1 0 0 36 48 76 1.8
+6 0 1 0 0 36 48 78 2.1
+6 0 1 0 0 36 48 80 2.4
+6 0 1 0 0 36 48 82 2.7
+6 0 1 0 0 36 48 84 3
+6 0 1 0 0 36 48 86 3.3
+6 0 1 0 0 36 48 88 3.6
+6 0 1 0 0 36 48 90 3.9
+6 0 1 0 0 36 48 92 4.2
+6 0 1 0 0 36 48 94 4.5
+6 0 1 0 0 36 48 96 4.8
+6 0 1 0 0 36 48 98 5.1
+6 0 1 0 0 36 48 100 5.4
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 1.95
+7 0 2 0 0 36 48 52 1.8
+7 0 2 0 0 36 48 53 1.65
+7 0 2 0 0 36 48 54 1.5
+7 0 2 0 0 36 48 55 1.35
+7 0 2 0 0 36 48 56 1.2
+7 0 2 0 0 36 48 57 1.05
+7 0 2 0 0 36 48 58 0.9
+7 0 2 0 0 36 48 59 0.75
+7 0 2 0 0 36 48 60 0.6
+7 0 2 0 0 36 48 61 0.45
+7 0 2 0 0 36 48 62 0.3
+7 0 2 0 0 36 48 63 0.15
+7 0 2 0 0 36 48 64 6.2803698347351e-16
+7 0 2 0 0 36 48 65 0.15
+7 0 2 0 0 36 48 66 0.3
+7 0 2 0 0 36 48 67 0.45
+7 0 2 0 0 36 48 68 0.6
+7 0 2 0 0 36 48 69 0.75
+7 0 2 0 0 36 48 70 0.9
+7 0 2 0 0 36 48 71 1.05
+7 0 2 0 0 36 48 72 1.2
+7 0 2 0 0 36 48 73 1.35
+7 0 2 0 0 36 48 74 1.5
+7 0 2 0 0 36 48 75 1.65
+7 0 2 0 0 36 48 76 1.8
+7 0 2 0 0 36 48 77 1.95
+7 0 2 0 0 36 48 78 2.1
+7 0 2 0 0 36 48 79 2.25
+7 0 2 0 0 36 48 80 2.4
+7 0 2 0 0 36 48 81 2.55
+7 0 2 0 0 36 48 82 2.7
+7 0 2 0 0 36 48 83 2.85
+7 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 1.95
+8 0 2 0 0 36 48 52 1.8
+8 0 2 0 0 36 48 53 1.65
+8 0 2 0 0 36 48 54 1.5
+8 0 2 0 0 36 48 55 1.35
+8 0 2 0 0 36 48 56 1.2
+8 0 2 0 0 36 48 57 1.05
+8 0 2 0 0 36 48 58 0.9
+8 0 2 0 0 36 48 59 0.75
+8 0 2 0 0 36 48 60 0.6
+8 0 2 0 0 36 48 61 0.45
+8 0 2 0 0 36 48 62 0.3
+8 0 2 0 0 36 48 63 0.15
+8 0 2 0 0 36 48 64 6.2803698347351e-16
+8 0 2 0 0 36 48 65 0.15
+8 0 2 0 0 36 48 66 0.3
+8 0 2 0 0 36 48 67 0.45
+8 0 2 0 0 36 48 68 0.6
+8 0 2 0 0 36 48 69 0.75
+8 0 2 0 0 36 48 70 0.9
+8 0 2 0 0 36 48 71 1.05
+8 0 2 0 0 36 48 72 1.2
+8 0 2 0 0 36 48 73 1.35
+8 0 2 0 0 36 48 74 1.5
+8 0 2 0 0 36 48 75 1.65
+8 0 2 0 0 36 48 76 1.8
+8 0 2 0 0 36 48 77 1.95
+8 0 2 0 0 36 48 78 2.1
+8 0 2 0 0 36 48 79 2.25
+8 0 2 0 0 36 48 80 2.4
+8 0 2 0 0 36 48 81 2.55
+8 0 2 0 0 36 48 82 2.7
+8 0 2 0 0 36 48 83 2.85
+8 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 4.5
+8 0 1 0 0 36 48 36 4.2
+8 0 1 0 0 36 48 38 3.9
+8 0 1 0 0 36 48 40 3.6
+8 0 1 0 0 36 48 42 3.3
+8 0 1 0 0 36 48 44 3
+8 0 1 0 0 36 48 46 2.7
+8 0 1 0 0 36 48 48 2.4
+8 0 1 0 0 36 48 50 2.1
+8 0 1 0 0 36 48 52 1.8
+8 0 1 0 0 36 48 54 1.5
+8 0 1 0 0 36 48 56 1.2
+8 0 1 0 0 36 48 58 0.9
+8 0 1 0 0 36 48 60 0.6
+8 0 1 0 0 36 48 62 0.3
+8 0 1 0 0 36 48 64 6.2803698347351e-16
+8 0 1 0 0 36 48 66 0.3
+8 0 1 0 0 36 48 68 0.6
+8 0 1 0 0 36 48 70 0.9
+8 0 1 0 0 36 48 72 1.2
+8 0 1 0 0 36 48 74 1.5
+8 0 1 0 0 36 48 76 1.8
+8 0 1 0 0 36 48 78 2.1
+8 0 1 0 0 36 48 80 2.4
+8 0 1 0 0 36 48 82 2.7
+8 0 1 0 0 36 48 84 3
+8 0 1 0 0 36 48 86 3.3
+8 0 1 0 0 36 48 88 3.6
+8 0 1 0 0 36 48 90 3.9
+8 0 1 0 0 36 48 92 4.2
+8 0 1 0 0 36 48 94 4.5
+8 0 1 0 0 36 48 96 4.8
+8 0 1 0 0 36 48 98 5.1
+8 0 1 0 0 36 48 100 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 9.6
+8 0 0 0 0 36 48 4 9
+8 0 0 0 0 36 48 8 8.4
+8 0 0 0 0 36 48 12 7.8
+8 0 0 0 0 36 48 16 7.2
+8 0 0 0 0 36 48 20 6.6
+8 0 0 0 0 36 48 24 6
+8 0 0 0 0 36 48 28 5.4
+8 0 0 0 0 36 48 32 4.8
+8 0 0 0 0 36 48 36 4.2
+8 0 0 0 0 36 48 40 3.6
+8 0 0 0 0 36 48 44 3
+8 0 0 0 0 36 48 48 2.4
+8 0 0 0 0 36 48 52 1.8
+8 0 0 0 0 36 48 56 1.2
+8 0 0 0 0 36 48 60 0.6
+8 0 0 0 0 36 48 64 6.2803698347351e-16
+8 0 0 0 0 36 48 68 0.6
+8 0 0 0 0 36 48 72 1.2
+8 0 0 0 0 36 48 76 1.8
+8 0 0 0 0 36 48 80 2.4
+8 0 0 0 0 36 48 84 3
+8 0 0 0 0 36 48 88 3.6
+8 0 0 0 0 36 48 92 4.2
+8 0 0 0 0 36 48 96 4.8
+8 0 0 0 0 36 48 100 5.4
+8 0 0 0 0 36 48 104 6
+8 0 0 0 0 36 48 108 6.6
+8 0 0 0 0 36 48 112 7.2
+8 0 0 0 0 36 48 116 7.8
+8 0 0 0 0 36 48 120 8.4
+8 0 0 0 0 36 48 124 9
+8 0 0 0 0 36 48 128 9.6
+8 0 0 0 0 36 48 132 10.2
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 1.95
+9 0 2 0 0 36 48 52 1.8
+9 0 2 0 0 36 48 53 1.65
+9 0 2 0 0 36 48 54 1.5
+9 0 2 0 0 36 48 55 1.35
+9 0 2 0 0 36 48 56 1.2
+9 0 2 0 0 36 48 57 1.05
+9 0 2 0 0 36 48 58 0.9
+9 0 2 0 0 36 48 59 0.75
+9 0 2 0 0 36 48 60 0.6
+9 0 2 0 0 36 48 61 0.45
+9 0 2 0 0 36 48 62 0.3
+9 0 2 0 0 36 48 63 0.15
+9 0 2 0 0 36 48 64 6.2803698347351e-16
+9 0 2 0 0 36 48 65 0.15
+9 0 2 0 0 36 48 66 0.3
+9 0 2 0 0 36 48 67 0.45
+9 0 2 0 0 36 48 68 0.6
+9 0 2 0 0 36 48 69 0.75
+9 0 2 0 0 36 48 70 0.9
+9 0 2 0 0 36 48 71 1.05
+9 0 2 0 0 36 48 72 1.2
+9 0 2 0 0 36 48 73 1.35
+9 0 2 0 0 36 48 74 1.5
+9 0 2 0 0 36 48 75 1.65
+9 0 2 0 0 36 48 76 1.8
+9 0 2 0 0 36 48 77 1.95
+9 0 2 0 0 36 48 78 2.1
+9 0 2 0 0 36 48 79 2.25
+9 0 2 0 0 36 48 80 2.4
+9 0 2 0 0 36 48 81 2.55
+9 0 2 0 0 36 48 82 2.7
+9 0 2 0 0 36 48 83 2.85
+9 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 1.95
+10 0 2 0 0 36 48 52 1.8
+10 0 2 0 0 36 48 53 1.65
+10 0 2 0 0 36 48 54 1.5
+10 0 2 0 0 36 48 55 1.35
+10 0 2 0 0 36 48 56 1.2
+10 0 2 0 0 36 48 57 1.05
+10 0 2 0 0 36 48 58 0.9
+10 0 2 0 0 36 48 59 0.75
+10 0 2 0 0 36 48 60 0.6
+10 0 2 0 0 36 48 61 0.45
+10 0 2 0 0 36 48 62 0.3
+10 0 2 0 0 36 48 63 0.15
+10 0 2 0 0 36 48 64 6.2803698347351e-16
+10 0 2 0 0 36 48 65 0.15
+10 0 2 0 0 36 48 66 0.3
+10 0 2 0 0 36 48 67 0.45
+10 0 2 0 0 36 48 68 0.6
+10 0 2 0 0 36 48 69 0.75
+10 0 2 0 0 36 48 70 0.9
+10 0 2 0 0 36 48 71 1.05
+10 0 2 0 0 36 48 72 1.2
+10 0 2 0 0 36 48 73 1.35
+10 0 2 0 0 36 48 74 1.5
+10 0 2 0 0 36 48 75 1.65
+10 0 2 0 0 36 48 76 1.8
+10 0 2 0 0 36 48 77 1.95
+10 0 2 0 0 36 48 78 2.1
+10 0 2 0 0 36 48 79 2.25
+10 0 2 0 0 36 48 80 2.4
+10 0 2 0 0 36 48 81 2.55
+10 0 2 0 0 36 48 82 2.7
+10 0 2 0 0 36 48 83 2.85
+10 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 4.5
+10 0 1 0 0 36 48 36 4.2
+10 0 1 0 0 36 48 38 3.9
+10 0 1 0 0 36 48 40 3.6
+10 0 1 0 0 36 48 42 3.3
+10 0 1 0 0 36 48 44 3
+10 0 1 0 0 36 48 46 2.7
+10 0 1 0 0 36 48 48 2.4
+10 0 1 0 0 36 48 50 2.1
+10 0 1 0 0 36 48 52 1.8
+10 0 1 0 0 36 48 54 1.5
+10 0 1 0 0 36 48 56 1.2
+10 0 1 0 0 36 48 58 0.9
+10 0 1 0 0 36 48 60 0.6
+10 0 1 0 0 36 48 62 0.3
+10 0 1 0 0 36 48 64 6.2803698347351e-16
+10 0 1 0 0 36 48 66 0.3
+10 0 1 0 0 36 48 68 0.6
+10 0 1 0 0 36 48 70 0.9
+10 0 1 0 0 36 48 72 1.2
+10 0 1 0 0 36 48 74 1.5
+10 0 1 0 0 36 48 76 1.8
+10 0 1 0 0 36 48 78 2.1
+10 0 1 0 0 36 48 80 2.4
+10 0 1 0 0 36 48 82 2.7
+10 0 1 0 0 36 48 84 3
+10 0 1 0 0 36 48 86 3.3
+10 0 1 0 0 36 48 88 3.6
+10 0 1 0 0 36 48 90 3.9
+10 0 1 0 0 36 48 92 4.2
+10 0 1 0 0 36 48 94 4.5
+10 0 1 0 0 36 48 96 4.8
+10 0 1 0 0 36 48 98 5.1
+10 0 1 0 0 36 48 100 5.4
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 1.95
+11 0 2 0 0 36 48 52 1.8
+11 0 2 0 0 36 48 53 1.65
+11 0 2 0 0 36 48 54 1.5
+11 0 2 0 0 36 48 55 1.35
+11 0 2 0 0 36 48 56 1.2
+11 0 2 0 0 36 48 57 1.05
+11 0 2 0 0 36 48 58 0.9
+11 0 2 0 0 36 48 59 0.75
+11 0 2 0 0 36 48 60 0.6
+11 0 2 0 0 36 48 61 0.45
+11 0 2 0 0 36 48 62 0.3
+11 0 2 0 0 36 48 63 0.15
+11 0 2 0 0 36 48 64 6.2803698347351e-16
+11 0 2 0 0 36 48 65 0.15
+11 0 2 0 0 36 48 66 0.3
+11 0 2 0 0 36 48 67 0.45
+11 0 2 0 0 36 48 68 0.6
+11 0 2 0 0 36 48 69 0.75
+11 0 2 0 0 36 48 70 0.9
+11 0 2 0 0 36 48 71 1.05
+11 0 2 0 0 36 48 72 1.2
+11 0 2 0 0 36 48 73 1.35
+11 0 2 0 0 36 48 74 1.5
+11 0 2 0 0 36 48 75 1.65
+11 0 2 0 0 36 48 76 1.8
+11 0 2 0 0 36 48 77 1.95
+11 0 2 0 0 36 48 78 2.1
+11 0 2 0 0 36 48 79 2.25
+11 0 2 0 0 36 48 80 2.4
+11 0 2 0 0 36 48 81 2.55
+11 0 2 0 0 36 48 82 2.7
+11 0 2 0 0 36 48 83 2.85
+11 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 1.95
+12 0 2 0 0 36 48 52 1.8
+12 0 2 0 0 36 48 53 1.65
+12 0 2 0 0 36 48 54 1.5
+12 0 2 0 0 36 48 55 1.35
+12 0 2 0 0 36 48 56 1.2
+12 0 2 0 0 36 48 57 1.05
+12 0 2 0 0 36 48 58 0.9
+12 0 2 0 0 36 48 59 0.75
+12 0 2 0 0 36 48 60 0.6
+12 0 2 0 0 36 48 61 0.45
+12 0 2 0 0 36 48 62 0.3
+12 0 2 0 0 36 48 63 0.15
+12 0 2 0 0 36 48 64 6.2803698347351e-16
+12 0 2 0 0 36 48 65 0.15
+12 0 2 0 0 36 48 66 0.3
+12 0 2 0 0 36 48 67 0.45
+12 0 2 0 0 36 48 68 0.6
+12 0 2 0 0 36 48 69 0.75
+12 0 2 0 0 36 48 70 0.9
+12 0 2 0 0 36 48 71 1.05
+12 0 2 0 0 36 48 72 1.2
+12 0 2 0 0 36 48 73 1.35
+12 0 2 0 0 36 48 74 1.5
+12 0 2 0 0 36 48 75 1.65
+12 0 2 0 0 36 48 76 1.8
+12 0 2 0 0 36 48 77 1.95
+12 0 2 0 0 36 48 78 2.1
+12 0 2 0 0 36 48 79 2.25
+12 0 2 0 0 36 48 80 2.4
+12 0 2 0 0 36 48 81 2.55
+12 0 2 0 0 36 48 82 2.7
+12 0 2 0 0 36 48 83 2.85
+12 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 4.5
+12 0 1 0 0 36 48 36 4.2
+12 0 1 0 0 36 48 38 3.9
+12 0 1 0 0 36 48 40 3.6
+12 0 1 0 0 36 48 42 3.3
+12 0 1 0 0 36 48 44 3
+12 0 1 0 0 36 48 46 2.7
+12 0 1 0 0 36 48 48 2.4
+12 0 1 0 0 36 48 50 2.1
+12 0 1 0 0 36 48 52 1.8
+12 0 1 0 0 36 48 54 1.5
+12 0 1 0 0 36 48 56 1.2
+12 0 1 0 0 36 48 58 0.9
+12 0 1 0 0 36 48 60 0.6
+12 0 1 0 0 36 48 62 0.3
+12 0 1 0 0 36 48 64 6.2803698347351e-16
+12 0 1 0 0 36 48 66 0.3
+12 0 1 0 0 36 48 68 0.6
+12 0 1 0 0 36 48 70 0.9
+12 0 1 0 0 36 48 72 1.2
+12 0 1 0 0 36 48 74 1.5
+12 0 1 0 0 36 48 76 1.8
+12 0 1 0 0 36 48 78 2.1
+12 0 1 0 0 36 48 80 2.4
+12 0 1 0 0 36 48 82 2.7
+12 0 1 0 0 36 48 84 3
+12 0 1 0 0 36 48 86 3.3
+12 0 1 0 0 36 48 88 3.6
+12 0 1 0 0 36 48 90 3.9
+12 0 1 0 0 36 48 92 4.2
+12 0 1 0 0 36 48 94 4.5
+12 0 1 0 0 36 48 96 4.8
+12 0 1 0 0 36 48 98 5.1
+12 0 1 0 0 36 48 100 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 9.6
+12 0 0 0 0 36 48 4 9
+12 0 0 0 0 36 48 8 8.4
+12 0 0 0 0 36 48 12 7.8
+12 0 0 0 0 36 48 16 7.2
+12 0 0 0 0 36 48 20 6.6
+12 0 0 0 0 36 48 24 6
+12 0 0 0 0 36 48 28 5.4
+12 0 0 0 0 36 48 32 4.8
+12 0 0 0 0 36 48 36 4.2
+12 0 0 0 0 36 48 40 3.6
+12 0 0 0 0 36 48 44 3
+12 0 0 0 0 36 48 48 2.4
+12 0 0 0 0 36 48 52 1.8
+12 0 0 0 0 36 48 56 1.2
+12 0 0 0 0 36 48 60 0.6
+12 0 0 0 0 36 48 64 6.2803698347351e-16
+12 0 0 0 0 36 48 68 0.6
+12 0 0 0 0 36 48 72 1.2
+12 0 0 0 0 36 48 76 1.8
+12 0 0 0 0 36 48 80 2.4
+12 0 0 0 0 36 48 84 3
+12 0 0 0 0 36 48 88 3.6
+12 0 0 0 0 36 48 92 4.2
+12 0 0 0 0 36 48 96 4.8
+12 0 0 0 0 36 48 100 5.4
+12 0 0 0 0 36 48 104 6
+12 0 0 0 0 36 48 108 6.6
+12 0 0 0 0 36 48 112 7.2
+12 0 0 0 0 36 48 116 7.8
+12 0 0 0 0 36 48 120 8.4
+12 0 0 0 0 36 48 124 9
+12 0 0 0 0 36 48 128 9.6
+12 0 0 0 0 36 48 132 10.2
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 1.95
+13 0 2 0 0 36 48 52 1.8
+13 0 2 0 0 36 48 53 1.65
+13 0 2 0 0 36 48 54 1.5
+13 0 2 0 0 36 48 55 1.35
+13 0 2 0 0 36 48 56 1.2
+13 0 2 0 0 36 48 57 1.05
+13 0 2 0 0 36 48 58 0.9
+13 0 2 0 0 36 48 59 0.75
+13 0 2 0 0 36 48 60 0.6
+13 0 2 0 0 36 48 61 0.45
+13 0 2 0 0 36 48 62 0.3
+13 0 2 0 0 36 48 63 0.15
+13 0 2 0 0 36 48 64 6.2803698347351e-16
+13 0 2 0 0 36 48 65 0.15
+13 0 2 0 0 36 48 66 0.3
+13 0 2 0 0 36 48 67 0.45
+13 0 2 0 0 36 48 68 0.6
+13 0 2 0 0 36 48 69 0.75
+13 0 2 0 0 36 48 70 0.9
+13 0 2 0 0 36 48 71 1.05
+13 0 2 0 0 36 48 72 1.2
+13 0 2 0 0 36 48 73 1.35
+13 0 2 0 0 36 48 74 1.5
+13 0 2 0 0 36 48 75 1.65
+13 0 2 0 0 36 48 76 1.8
+13 0 2 0 0 36 48 77 1.95
+13 0 2 0 0 36 48 78 2.1
+13 0 2 0 0 36 48 79 2.25
+13 0 2 0 0 36 48 80 2.4
+13 0 2 0 0 36 48 81 2.55
+13 0 2 0 0 36 48 82 2.7
+13 0 2 0 0 36 48 83 2.85
+13 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 1.95
+14 0 2 0 0 36 48 52 1.8
+14 0 2 0 0 36 48 53 1.65
+14 0 2 0 0 36 48 54 1.5
+14 0 2 0 0 36 48 55 1.35
+14 0 2 0 0 36 48 56 1.2
+14 0 2 0 0 36 48 57 1.05
+14 0 2 0 0 36 48 58 0.9
+14 0 2 0 0 36 48 59 0.75
+14 0 2 0 0 36 48 60 0.6
+14 0 2 0 0 36 48 61 0.45
+14 0 2 0 0 36 48 62 0.3
+14 0 2 0 0 36 48 63 0.15
+14 0 2 0 0 36 48 64 6.2803698347351e-16
+14 0 2 0 0 36 48 65 0.15
+14 0 2 0 0 36 48 66 0.3
+14 0 2 0 0 36 48 67 0.45
+14 0 2 0 0 36 48 68 0.6
+14 0 2 0 0 36 48 69 0.75
+14 0 2 0 0 36 48 70 0.9
+14 0 2 0 0 36 48 71 1.05
+14 0 2 0 0 36 48 72 1.2
+14 0 2 0 0 36 48 73 1.35
+14 0 2 0 0 36 48 74 1.5
+14 0 2 0 0 36 48 75 1.65
+14 0 2 0 0 36 48 76 1.8
+14 0 2 0 0 36 48 77 1.95
+14 0 2 0 0 36 48 78 2.1
+14 0 2 0 0 36 48 79 2.25
+14 0 2 0 0 36 48 80 2.4
+14 0 2 0 0 36 48 81 2.55
+14 0 2 0 0 36 48 82 2.7
+14 0 2 0 0 36 48 83 2.85
+14 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 4.5
+14 0 1 0 0 36 48 36 4.2
+14 0 1 0 0 36 48 38 3.9
+14 0 1 0 0 36 48 40 3.6
+14 0 1 0 0 36 48 42 3.3
+14 0 1 0 0 36 48 44 3
+14 0 1 0 0 36 48 46 2.7
+14 0 1 0 0 36 48 48 2.4
+14 0 1 0 0 36 48 50 2.1
+14 0 1 0 0 36 48 52 1.8
+14 0 1 0 0 36 48 54 1.5
+14 0 1 0 0 36 48 56 1.2
+14 0 1 0 0 36 48 58 0.9
+14 0 1 0 0 36 48 60 0.6
+14 0 1 0 0 36 48 62 0.3
+14 0 1 0 0 36 48 64 6.2803698347351e-16
+14 0 1 0 0 36 48 66 0.3
+14 0 1 0 0 36 48 68 0.6
+14 0 1 0 0 36 48 70 0.9
+14 0 1 0 0 36 48 72 1.2
+14 0 1 0 0 36 48 74 1.5
+14 0 1 0 0 36 48 76 1.8
+14 0 1 0 0 36 48 78 2.1
+14 0 1 0 0 36 48 80 2.4
+14 0 1 0 0 36 48 82 2.7
+14 0 1 0 0 36 48 84 3
+14 0 1 0 0 36 48 86 3.3
+14 0 1 0 0 36 48 88 3.6
+14 0 1 0 0 36 48 90 3.9
+14 0 1 0 0 36 48 92 4.2
+14 0 1 0 0 36 48 94 4.5
+14 0 1 0 0 36 48 96 4.8
+14 0 1 0 0 36 48 98 5.1
+14 0 1 0 0 36 48 100 5.4
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 1.95
+15 0 2 0 0 36 48 52 1.8
+15 0 2 0 0 36 48 53 1.65
+15 0 2 0 0 36 48 54 1.5
+15 0 2 0 0 36 48 55 1.35
+15 0 2 0 0 36 48 56 1.2
+15 0 2 0 0 36 48 57 1.05
+15 0 2 0 0 36 48 58 0.9
+15 0 2 0 0 36 48 59 0.75
+15 0 2 0 0 36 48 60 0.6
+15 0 2 0 0 36 48 61 0.45
+15 0 2 0 0 36 48 62 0.3
+15 0 2 0 0 36 48 63 0.15
+15 0 2 0 0 36 48 64 6.2803698347351e-16
+15 0 2 0 0 36 48 65 0.15
+15 0 2 0 0 36 48 66 0.3
+15 0 2 0 0 36 48 67 0.45
+15 0 2 0 0 36 48 68 0.6
+15 0 2 0 0 36 48 69 0.75
+15 0 2 0 0 36 48 70 0.9
+15 0 2 0 0 36 48 71 1.05
+15 0 2 0 0 36 48 72 1.2
+15 0 2 0 0 36 48 73 1.35
+15 0 2 0 0 36 48 74 1.5
+15 0 2 0 0 36 48 75 1.65
+15 0 2 0 0 36 48 76 1.8
+15 0 2 0 0 36 48 77 1.95
+15 0 2 0 0 36 48 78 2.1
+15 0 2 0 0 36 48 79 2.25
+15 0 2 0 0 36 48 80 2.4
+15 0 2 0 0 36 48 81 2.55
+15 0 2 0 0 36 48 82 2.7
+15 0 2 0 0 36 48 83 2.85
+15 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 1.95
+16 0 2 0 0 36 48 52 1.8
+16 0 2 0 0 36 48 53 1.65
+16 0 2 0 0 36 48 54 1.5
+16 0 2 0 0 36 48 55 1.35
+16 0 2 0 0 36 48 56 1.2
+16 0 2 0 0 36 48 57 1.05
+16 0 2 0 0 36 48 58 0.9
+16 0 2 0 0 36 48 59 0.75
+16 0 2 0 0 36 48 60 0.6
+16 0 2 0 0 36 48 61 0.45
+16 0 2 0 0 36 48 62 0.3
+16 0 2 0 0 36 48 63 0.15
+16 0 2 0 0 36 48 64 6.2803698347351e-16
+16 0 2 0 0 36 48 65 0.15
+16 0 2 0 0 36 48 66 0.3
+16 0 2 0 0 36 48 67 0.45
+16 0 2 0 0 36 48 68 0.6
+16 0 2 0 0 36 48 69 0.75
+16 0 2 0 0 36 48 70 0.9
+16 0 2 0 0 36 48 71 1.05
+16 0 2 0 0 36 48 72 1.2
+16 0 2 0 0 36 48 73 1.35
+16 0 2 0 0 36 48 74 1.5
+16 0 2 0 0 36 48 75 1.65
+16 0 2 0 0 36 48 76 1.8
+16 0 2 0 0 36 48 77 1.95
+16 0 2 0 0 36 48 78 2.1
+16 0 2 0 0 36 48 79 2.25
+16 0 2 0 0 36 48 80 2.4
+16 0 2 0 0 36 48 81 2.55
+16 0 2 0 0 36 48 82 2.7
+16 0 2 0 0 36 48 83 2.85
+16 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 4.5
+16 0 1 0 0 36 48 36 4.2
+16 0 1 0 0 36 48 38 3.9
+16 0 1 0 0 36 48 40 3.6
+16 0 1 0 0 36 48 42 3.3
+16 0 1 0 0 36 48 44 3
+16 0 1 0 0 36 48 46 2.7
+16 0 1 0 0 36 48 48 2.4
+16 0 1 0 0 36 48 50 2.1
+16 0 1 0 0 36 48 52 1.8
+16 0 1 0 0 36 48 54 1.5
+16 0 1 0 0 36 48 56 1.2
+16 0 1 0 0 36 48 58 0.9
+16 0 1 0 0 36 48 60 0.6
+16 0 1 0 0 36 48 62 0.3
+16 0 1 0 0 36 48 64 6.2803698347351e-16
+16 0 1 0 0 36 48 66 0.3
+16 0 1 0 0 36 48 68 0.6
+16 0 1 0 0 36 48 70 0.9
+16 0 1 0 0 36 48 72 1.2
+16 0 1 0 0 36 48 74 1.5
+16 0 1 0 0 36 48 76 1.8
+16 0 1 0 0 36 48 78 2.1
+16 0 1 0 0 36 48 80 2.4
+16 0 1 0 0 36 48 82 2.7
+16 0 1 0 0 36 48 84 3
+16 0 1 0 0 36 48 86 3.3
+16 0 1 0 0 36 48 88 3.6
+16 0 1 0 0 36 48 90 3.9
+16 0 1 0 0 36 48 92 4.2
+16 0 1 0 0 36 48 94 4.5
+16 0 1 0 0 36 48 96 4.8
+16 0 1 0 0 36 48 98 5.1
+16 0 1 0 0 36 48 100 5.4
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 9.6
+16 0 0 0 0 36 48 4 9
+16 0 0 0 0 36 48 8 8.4
+16 0 0 0 0 36 48 12 7.8
+16 0 0 0 0 36 48 16 7.2
+16 0 0 0 0 36 48 20 6.6
+16 0 0 0 0 36 48 24 6
+16 0 0 0 0 36 48 28 5.4
+16 0 0 0 0 36 48 32 4.8
+16 0 0 0 0 36 48 36 4.2
+16 0 0 0 0 36 48 40 3.6
+16 0 0 0 0 36 48 44 3
+16 0 0 0 0 36 48 48 2.4
+16 0 0 0 0 36 48 52 1.8
+16 0 0 0 0 36 48 56 1.2
+16 0 0 0 0 36 48 60 0.6
+16 0 0 0 0 36 48 64 6.2803698347351e-16
+16 0 0 0 0 36 48 68 0.6
+16 0 0 0 0 36 48 72 1.2
+16 0 0 0 0 36 48 76 1.8
+16 0 0 0 0 36 48 80 2.4
+16 0 0 0 0 36 48 84 3
+16 0 0 0 0 36 48 88 3.6
+16 0 0 0 0 36 48 92 4.2
+16 0 0 0 0 36 48 96 4.8
+16 0 0 0 0 36 48 100 5.4
+16 0 0 0 0 36 48 104 6
+16 0 0 0 0 36 48 108 6.6
+16 0 0 0 0 36 48 112 7.2
+16 0 0 0 0 36 48 116 7.8
+16 0 0 0 0 36 48 120 8.4
+16 0 0 0 0 36 48 124 9
+16 0 0 0 0 36 48 128 9.6
+16 0 0 0 0 36 48 132 10.2
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 1.95
+17 0 2 0 0 36 48 52 1.8
+17 0 2 0 0 36 48 53 1.65
+17 0 2 0 0 36 48 54 1.5
+17 0 2 0 0 36 48 55 1.35
+17 0 2 0 0 36 48 56 1.2
+17 0 2 0 0 36 48 57 1.05
+17 0 2 0 0 36 48 58 0.9
+17 0 2 0 0 36 48 59 0.75
+17 0 2 0 0 36 48 60 0.6
+17 0 2 0 0 36 48 61 0.45
+17 0 2 0 0 36 48 62 0.3
+17 0 2 0 0 36 48 63 0.15
+17 0 2 0 0 36 48 64 6.2803698347351e-16
+17 0 2 0 0 36 48 65 0.15
+17 0 2 0 0 36 48 66 0.3
+17 0 2 0 0 36 48 67 0.45
+17 0 2 0 0 36 48 68 0.6
+17 0 2 0 0 36 48 69 0.75
+17 0 2 0 0 36 48 70 0.9
+17 0 2 0 0 36 48 71 1.05
+17 0 2 0 0 36 48 72 1.2
+17 0 2 0 0 36 48 73 1.35
+17 0 2 0 0 36 48 74 1.5
+17 0 2 0 0 36 48 75 1.65
+17 0 2 0 0 36 48 76 1.8
+17 0 2 0 0 36 48 77 1.95
+17 0 2 0 0 36 48 78 2.1
+17 0 2 0 0 36 48 79 2.25
+17 0 2 0 0 36 48 80 2.4
+17 0 2 0 0 36 48 81 2.55
+17 0 2 0 0 36 48 82 2.7
+17 0 2 0 0 36 48 83 2.85
+17 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 1.95
+18 0 2 0 0 36 48 52 1.8
+18 0 2 0 0 36 48 53 1.65
+18 0 2 0 0 36 48 54 1.5
+18 0 2 0 0 36 48 55 1.35
+18 0 2 0 0 36 48 56 1.2
+18 0 2 0 0 36 48 57 1.05
+18 0 2 0 0 36 48 58 0.9
+18 0 2 0 0 36 48 59 0.75
+18 0 2 0 0 36 48 60 0.6
+18 0 2 0 0 36 48 61 0.45
+18 0 2 0 0 36 48 62 0.3
+18 0 2 0 0 36 48 63 0.15
+18 0 2 0 0 36 48 64 6.2803698347351e-16
+18 0 2 0 0 36 48 65 0.15
+18 0 2 0 0 36 48 66 0.3
+18 0 2 0 0 36 48 67 0.45
+18 0 2 0 0 36 48 68 0.6
+18 0 2 0 0 36 48 69 0.75
+18 0 2 0 0 36 48 70 0.9
+18 0 2 0 0 36 48 71 1.05
+18 0 2 0 0 36 48 72 1.2
+18 0 2 0 0 36 48 73 1.35
+18 0 2 0 0 36 48 74 1.5
+18 0 2 0 0 36 48 75 1.65
+18 0 2 0 0 36 48 76 1.8
+18 0 2 0 0 36 48 77 1.95
+18 0 2 0 0 36 48 78 2.1
+18 0 2 0 0 36 48 79 2.25
+18 0 2 0 0 36 48 80 2.4
+18 0 2 0 0 36 48 81 2.55
+18 0 2 0 0 36 48 82 2.7
+18 0 2 0 0 36 48 83 2.85
+18 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 4.5
+18 0 1 0 0 36 48 36 4.2
+18 0 1 0 0 36 48 38 3.9
+18 0 1 0 0 36 48 40 3.6
+18 0 1 0 0 36 48 42 3.3
+18 0 1 0 0 36 48 44 3
+18 0 1 0 0 36 48 46 2.7
+18 0 1 0 0 36 48 48 2.4
+18 0 1 0 0 36 48 50 2.1
+18 0 1 0 0 36 48 52 1.8
+18 0 1 0 0 36 48 54 1.5
+18 0 1 0 0 36 48 56 1.2
+18 0 1 0 0 36 48 58 0.9
+18 0 1 0 0 36 48 60 0.6
+18 0 1 0 0 36 48 62 0.3
+18 0 1 0 0 36 48 64 6.2803698347351e-16
+18 0 1 0 0 36 48 66 0.3
+18 0 1 0 0 36 48 68 0.6
+18 0 1 0 0 36 48 70 0.9
+18 0 1 0 0 36 48 72 1.2
+18 0 1 0 0 36 48 74 1.5
+18 0 1 0 0 36 48 76 1.8
+18 0 1 0 0 36 48 78 2.1
+18 0 1 0 0 36 48 80 2.4
+18 0 1 0 0 36 48 82 2.7
+18 0 1 0 0 36 48 84 3
+18 0 1 0 0 36 48 86 3.3
+18 0 1 0 0 36 48 88 3.6
+18 0 1 0 0 36 48 90 3.9
+18 0 1 0 0 36 48 92 4.2
+18 0 1 0 0 36 48 94 4.5
+18 0 1 0 0 36 48 96 4.8
+18 0 1 0 0 36 48 98 5.1
+18 0 1 0 0 36 48 100 5.4
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 1.95
+19 0 2 0 0 36 48 52 1.8
+19 0 2 0 0 36 48 53 1.65
+19 0 2 0 0 36 48 54 1.5
+19 0 2 0 0 36 48 55 1.35
+19 0 2 0 0 36 48 56 1.2
+19 0 2 0 0 36 48 57 1.05
+19 0 2 0 0 36 48 58 0.9
+19 0 2 0 0 36 48 59 0.75
+19 0 2 0 0 36 48 60 0.6
+19 0 2 0 0 36 48 61 0.45
+19 0 2 0 0 36 48 62 0.3
+19 0 2 0 0 36 48 63 0.15
+19 0 2 0 0 36 48 64 6.2803698347351e-16
+19 0 2 0 0 36 48 65 0.15
+19 0 2 0 0 36 48 66 0.3
+19 0 2 0 0 36 48 67 0.45
+19 0 2 0 0 36 48 68 0.6
+19 0 2 0 0 36 48 69 0.75
+19 0 2 0 0 36 48 70 0.9
+19 0 2 0 0 36 48 71 1.05
+19 0 2 0 0 36 48 72 1.2
+19 0 2 0 0 36 48 73 1.35
+19 0 2 0 0 36 48 74 1.5
+19 0 2 0 0 36 48 75 1.65
+19 0 2 0 0 36 48 76 1.8
+19 0 2 0 0 36 48 77 1.95
+19 0 2 0 0 36 48 78 2.1
+19 0 2 0 0 36 48 79 2.25
+19 0 2 0 0 36 48 80 2.4
+19 0 2 0 0 36 48 81 2.55
+19 0 2 0 0 36 48 82 2.7
+19 0 2 0 0 36 48 83 2.85
+19 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 1.95
+20 0 2 0 0 36 48 52 1.8
+20 0 2 0 0 36 48 53 1.65
+20 0 2 0 0 36 48 54 1.5
+20 0 2 0 0 36 48 55 1.35
+20 0 2 0 0 36 48 56 1.2
+20 0 2 0 0 36 48 57 1.05
+20 0 2 0 0 36 48 58 0.9
+20 0 2 0 0 36 48 59 0.75
+20 0 2 0 0 36 48 60 0.6
+20 0 2 0 0 36 48 61 0.45
+20 0 2 0 0 36 48 62 0.3
+20 0 2 0 0 36 48 63 0.15
+20 0 2 0 0 36 48 64 6.2803698347351e-16
+20 0 2 0 0 36 48 65 0.15
+20 0 2 0 0 36 48 66 0.3
+20 0 2 0 0 36 48 67 0.45
+20 0 2 0 0 36 48 68 0.6
+20 0 2 0 0 36 48 69 0.75
+20 0 2 0 0 36 48 70 0.9
+20 0 2 0 0 36 48 71 1.05
+20 0 2 0 0 36 48 72 1.2
+20 0 2 0 0 36 48 73 1.35
+20 0 2 0 0 36 48 74 1.5
+20 0 2 0 0 36 48 75 1.65
+20 0 2 0 0 36 48 76 1.8
+20 0 2 0 0 36 48 77 1.95
+20 0 2 0 0 36 48 78 2.1
+20 0 2 0 0 36 48 79 2.25
+20 0 2 0 0 36 48 80 2.4
+20 0 2 0 0 36 48 81 2.55
+20 0 2 0 0 36 48 82 2.7
+20 0 2 0 0 36 48 83 2.85
+20 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 4.5
+20 0 1 0 0 36 48 36 4.2
+20 0 1 0 0 36 48 38 3.9
+20 0 1 0 0 36 48 40 3.6
+20 0 1 0 0 36 48 42 3.3
+20 0 1 0 0 36 48 44 3
+20 0 1 0 0 36 48 46 2.7
+20 0 1 0 0 36 48 48 2.4
+20 0 1 0 0 36 48 50 2.1
+20 0 1 0 0 36 48 52 1.8
+20 0 1 0 0 36 48 54 1.5
+20 0 1 0 0 36 48 56 1.2
+20 0 1 0 0 36 48 58 0.9
+20 0 1 0 0 36 48 60 0.6
+20 0 1 0 0 36 48 62 0.3
+20 0 1 0 0 36 48 64 6.2803698347351e-16
+20 0 1 0 0 36 48 66 0.3
+20 0 1 0 0 36 48 68 0.6
+20 0 1 0 0 36 48 70 0.9
+20 0 1 0 0 36 48 72 1.2
+20 0 1 0 0 36 48 74 1.5
+20 0 1 0 0 36 48 76 1.8
+20 0 1 0 0 36 48 78 2.1
+20 0 1 0 0 36 48 80 2.4
+20 0 1 0 0 36 48 82 2.7
+20 0 1 0 0 36 48 84 3
+20 0 1 0 0 36 48 86 3.3
+20 0 1 0 0 36 48 88 3.6
+20 0 1 0 0 36 48 90 3.9
+20 0 1 0 0 36 48 92 4.2
+20 0 1 0 0 36 48 94 4.5
+20 0 1 0 0 36 48 96 4.8
+20 0 1 0 0 36 48 98 5.1
+20 0 1 0 0 36 48 100 5.4
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 9.6
+20 0 0 0 0 36 48 4 9
+20 0 0 0 0 36 48 8 8.4
+20 0 0 0 0 36 48 12 7.8
+20 0 0 0 0 36 48 16 7.2
+20 0 0 0 0 36 48 20 6.6
+20 0 0 0 0 36 48 24 6
+20 0 0 0 0 36 48 28 5.4
+20 0 0 0 0 36 48 32 4.8
+20 0 0 0 0 36 48 36 4.2
+20 0 0 0 0 36 48 40 3.6
+20 0 0 0 0 36 48 44 3
+20 0 0 0 0 36 48 48 2.4
+20 0 0 0 0 36 48 52 1.8
+20 0 0 0 0 36 48 56 1.2
+20 0 0 0 0 36 48 60 0.6
+20 0 0 0 0 36 48 64 6.2803698347351e-16
+20 0 0 0 0 36 48 68 0.6
+20 0 0 0 0 36 48 72 1.2
+20 0 0 0 0 36 48 76 1.8
+20 0 0 0 0 36 48 80 2.4
+20 0 0 0 0 36 48 84 3
+20 0 0 0 0 36 48 88 3.6
+20 0 0 0 0 36 48 92 4.2
+20 0 0 0 0 36 48 96 4.8
+20 0 0 0 0 36 48 100 5.4
+20 0 0 0 0 36 48 104 6
+20 0 0 0 0 36 48 108 6.6
+20 0 0 0 0 36 48 112 7.2
+20 0 0 0 0 36 48 116 7.8
+20 0 0 0 0 36 48 120 8.4
+20 0 0 0 0 36 48 124 9
+20 0 0 0 0 36 48 128 9.6
+20 0 0 0 0 36 48 132 10.2
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 1.95
+21 0 2 0 0 36 48 52 1.8
+21 0 2 0 0 36 48 53 1.65
+21 0 2 0 0 36 48 54 1.5
+21 0 2 0 0 36 48 55 1.35
+21 0 2 0 0 36 48 56 1.2
+21 0 2 0 0 36 48 57 1.05
+21 0 2 0 0 36 48 58 0.9
+21 0 2 0 0 36 48 59 0.75
+21 0 2 0 0 36 48 60 0.6
+21 0 2 0 0 36 48 61 0.45
+21 0 2 0 0 36 48 62 0.3
+21 0 2 0 0 36 48 63 0.15
+21 0 2 0 0 36 48 64 6.2803698347351e-16
+21 0 2 0 0 36 48 65 0.15
+21 0 2 0 0 36 48 66 0.3
+21 0 2 0 0 36 48 67 0.45
+21 0 2 0 0 36 48 68 0.6
+21 0 2 0 0 36 48 69 0.75
+21 0 2 0 0 36 48 70 0.9
+21 0 2 0 0 36 48 71 1.05
+21 0 2 0 0 36 48 72 1.2
+21 0 2 0 0 36 48 73 1.35
+21 0 2 0 0 36 48 74 1.5
+21 0 2 0 0 36 48 75 1.65
+21 0 2 0 0 36 48 76 1.8
+21 0 2 0 0 36 48 77 1.95
+21 0 2 0 0 36 48 78 2.1
+21 0 2 0 0 36 48 79 2.25
+21 0 2 0 0 36 48 80 2.4
+21 0 2 0 0 36 48 81 2.55
+21 0 2 0 0 36 48 82 2.7
+21 0 2 0 0 36 48 83 2.85
+21 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 1.95
+22 0 2 0 0 36 48 52 1.8
+22 0 2 0 0 36 48 53 1.65
+22 0 2 0 0 36 48 54 1.5
+22 0 2 0 0 36 48 55 1.35
+22 0 2 0 0 36 48 56 1.2
+22 0 2 0 0 36 48 57 1.05
+22 0 2 0 0 36 48 58 0.9
+22 0 2 0 0 36 48 59 0.75
+22 0 2 0 0 36 48 60 0.6
+22 0 2 0 0 36 48 61 0.45
+22 0 2 0 0 36 48 62 0.3
+22 0 2 0 0 36 48 63 0.15
+22 0 2 0 0 36 48 64 6.2803698347351e-16
+22 0 2 0 0 36 48 65 0.15
+22 0 2 0 0 36 48 66 0.3
+22 0 2 0 0 36 48 67 0.45
+22 0 2 0 0 36 48 68 0.6
+22 0 2 0 0 36 48 69 0.75
+22 0 2 0 0 36 48 70 0.9
+22 0 2 0 0 36 48 71 1.05
+22 0 2 0 0 36 48 72 1.2
+22 0 2 0 0 36 48 73 1.35
+22 0 2 0 0 36 48 74 1.5
+22 0 2 0 0 36 48 75 1.65
+22 0 2 0 0 36 48 76 1.8
+22 0 2 0 0 36 48 77 1.95
+22 0 2 0 0 36 48 78 2.1
+22 0 2 0 0 36 48 79 2.25
+22 0 2 0 0 36 48 80 2.4
+22 0 2 0 0 36 48 81 2.55
+22 0 2 0 0 36 48 82 2.7
+22 0 2 0 0 36 48 83 2.85
+22 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 4.5
+22 0 1 0 0 36 48 36 4.2
+22 0 1 0 0 36 48 38 3.9
+22 0 1 0 0 36 48 40 3.6
+22 0 1 0 0 36 48 42 3.3
+22 0 1 0 0 36 48 44 3
+22 0 1 0 0 36 48 46 2.7
+22 0 1 0 0 36 48 48 2.4
+22 0 1 0 0 36 48 50 2.1
+22 0 1 0 0 36 48 52 1.8
+22 0 1 0 0 36 48 54 1.5
+22 0 1 0 0 36 48 56 1.2
+22 0 1 0 0 36 48 58 0.9
+22 0 1 0 0 36 48 60 0.6
+22 0 1 0 0 36 48 62 0.3
+22 0 1 0 0 36 48 64 6.2803698347351e-16
+22 0 1 0 0 36 48 66 0.3
+22 0 1 0 0 36 48 68 0.6
+22 0 1 0 0 36 48 70 0.9
+22 0 1 0 0 36 48 72 1.2
+22 0 1 0 0 36 48 74 1.5
+22 0 1 0 0 36 48 76 1.8
+22 0 1 0 0 36 48 78 2.1
+22 0 1 0 0 36 48 80 2.4
+22 0 1 0 0 36 48 82 2.7
+22 0 1 0 0 36 48 84 3
+22 0 1 0 0 36 48 86 3.3
+22 0 1 0 0 36 48 88 3.6
+22 0 1 0 0 36 48 90 3.9
+22 0 1 0 0 36 48 92 4.2
+22 0 1 0 0 36 48 94 4.5
+22 0 1 0 0 36 48 96 4.8
+22 0 1 0 0 36 48 98 5.1
+22 0 1 0 0 36 48 100 5.4
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 1.95
+23 0 2 0 0 36 48 52 1.8
+23 0 2 0 0 36 48 53 1.65
+23 0 2 0 0 36 48 54 1.5
+23 0 2 0 0 36 48 55 1.35
+23 0 2 0 0 36 48 56 1.2
+23 0 2 0 0 36 48 57 1.05
+23 0 2 0 0 36 48 58 0.9
+23 0 2 0 0 36 48 59 0.75
+23 0 2 0 0 36 48 60 0.6
+23 0 2 0 0 36 48 61 0.45
+23 0 2 0 0 36 48 62 0.3
+23 0 2 0 0 36 48 63 0.15
+23 0 2 0 0 36 48 64 6.2803698347351e-16
+23 0 2 0 0 36 48 65 0.15
+23 0 2 0 0 36 48 66 0.3
+23 0 2 0 0 36 48 67 0.45
+23 0 2 0 0 36 48 68 0.6
+23 0 2 0 0 36 48 69 0.75
+23 0 2 0 0 36 48 70 0.9
+23 0 2 0 0 36 48 71 1.05
+23 0 2 0 0 36 48 72 1.2
+23 0 2 0 0 36 48 73 1.35
+23 0 2 0 0 36 48 74 1.5
+23 0 2 0 0 36 48 75 1.65
+23 0 2 0 0 36 48 76 1.8
+23 0 2 0 0 36 48 77 1.95
+23 0 2 0 0 36 48 78 2.1
+23 0 2 0 0 36 48 79 2.25
+23 0 2 0 0 36 48 80 2.4
+23 0 2 0 0 36 48 81 2.55
+23 0 2 0 0 36 48 82 2.7
+23 0 2 0 0 36 48 83 2.85
+23 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 1.95
+24 0 2 0 0 36 48 52 1.8
+24 0 2 0 0 36 48 53 1.65
+24 0 2 0 0 36 48 54 1.5
+24 0 2 0 0 36 48 55 1.35
+24 0 2 0 0 36 48 56 1.2
+24 0 2 0 0 36 48 57 1.05
+24 0 2 0 0 36 48 58 0.9
+24 0 2 0 0 36 48 59 0.75
+24 0 2 0 0 36 48 60 0.6
+24 0 2 0 0 36 48 61 0.45
+24 0 2 0 0 36 48 62 0.3
+24 0 2 0 0 36 48 63 0.15
+24 0 2 0 0 36 48 64 6.2803698347351e-16
+24 0 2 0 0 36 48 65 0.15
+24 0 2 0 0 36 48 66 0.3
+24 0 2 0 0 36 48 67 0.45
+24 0 2 0 0 36 48 68 0.6
+24 0 2 0 0 36 48 69 0.75
+24 0 2 0 0 36 48 70 0.9
+24 0 2 0 0 36 48 71 1.05
+24 0 2 0 0 36 48 72 1.2
+24 0 2 0 0 36 48 73 1.35
+24 0 2 0 0 36 48 74 1.5
+24 0 2 0 0 36 48 75 1.65
+24 0 2 0 0 36 48 76 1.8
+24 0 2 0 0 36 48 77 1.95
+24 0 2 0 0 36 48 78 2.1
+24 0 2 0 0 36 48 79 2.25
+24 0 2 0 0 36 48 80 2.4
+24 0 2 0 0 36 48 81 2.55
+24 0 2 0 0 36 48 82 2.7
+24 0 2 0 0 36 48 83 2.85
+24 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 4.5
+24 0 1 0 0 36 48 36 4.2
+24 0 1 0 0 36 48 38 3.9
+24 0 1 0 0 36 48 40 3.6
+24 0 1 0 0 36 48 42 3.3
+24 0 1 0 0 36 48 44 3
+24 0 1 0 0 36 48 46 2.7
+24 0 1 0 0 36 48 48 2.4
+24 0 1 0 0 36 48 50 2.1
+24 0 1 0 0 36 48 52 1.8
+24 0 1 0 0 36 48 54 1.5
+24 0 1 0 0 36 48 56 1.2
+24 0 1 0 0 36 48 58 0.9
+24 0 1 0 0 36 48 60 0.6
+24 0 1 0 0 36 48 62 0.3
+24 0 1 0 0 36 48 64 6.2803698347351e-16
+24 0 1 0 0 36 48 66 0.3
+24 0 1 0 0 36 48 68 0.6
+24 0 1 0 0 36 48 70 0.9
+24 0 1 0 0 36 48 72 1.2
+24 0 1 0 0 36 48 74 1.5
+24 0 1 0 0 36 48 76 1.8
+24 0 1 0 0 36 48 78 2.1
+24 0 1 0 0 36 48 80 2.4
+24 0 1 0 0 36 48 82 2.7
+24 0 1 0 0 36 48 84 3
+24 0 1 0 0 36 48 86 3.3
+24 0 1 0 0 36 48 88 3.6
+24 0 1 0 0 36 48 90 3.9
+24 0 1 0 0 36 48 92 4.2
+24 0 1 0 0 36 48 94 4.5
+24 0 1 0 0 36 48 96 4.8
+24 0 1 0 0 36 48 98 5.1
+24 0 1 0 0 36 48 100 5.4
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 9.6
+24 0 0 0 0 36 48 4 9
+24 0 0 0 0 36 48 8 8.4
+24 0 0 0 0 36 48 12 7.8
+24 0 0 0 0 36 48 16 7.2
+24 0 0 0 0 36 48 20 6.6
+24 0 0 0 0 36 48 24 6
+24 0 0 0 0 36 48 28 5.4
+24 0 0 0 0 36 48 32 4.8
+24 0 0 0 0 36 48 36 4.2
+24 0 0 0 0 36 48 40 3.6
+24 0 0 0 0 36 48 44 3
+24 0 0 0 0 36 48 48 2.4
+24 0 0 0 0 36 48 52 1.8
+24 0 0 0 0 36 48 56 1.2
+24 0 0 0 0 36 48 60 0.6
+24 0 0 0 0 36 48 64 6.2803698347351e-16
+24 0 0 0 0 36 48 68 0.6
+24 0 0 0 0 36 48 72 1.2
+24 0 0 0 0 36 48 76 1.8
+24 0 0 0 0 36 48 80 2.4
+24 0 0 0 0 36 48 84 3
+24 0 0 0 0 36 48 88 3.6
+24 0 0 0 0 36 48 92 4.2
+24 0 0 0 0 36 48 96 4.8
+24 0 0 0 0 36 48 100 5.4
+24 0 0 0 0 36 48 104 6
+24 0 0 0 0 36 48 108 6.6
+24 0 0 0 0 36 48 112 7.2
+24 0 0 0 0 36 48 116 7.8
+24 0 0 0 0 36 48 120 8.4
+24 0 0 0 0 36 48 124 9
+24 0 0 0 0 36 48 128 9.6
+24 0 0 0 0 36 48 132 10.2
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.xl
new file mode 100644
index 000000000..c33fc0c78
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.xl
@@ -0,0 +1,1082 @@
+# HYDROTOY::u x (u)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.587785252292474
+0 0 2 0 0 28 48 64 0.669130606358859
+0 0 2 0 0 29 48 64 0.743144825477395
+0 0 2 0 0 30 48 64 0.809016994374948
+0 0 2 0 0 31 48 64 0.866025403784439
+0 0 2 0 0 32 48 64 0.913545457642601
+0 0 2 0 0 33 48 64 0.951056516295154
+0 0 2 0 0 34 48 64 0.978147600733806
+0 0 2 0 0 35 48 64 0.994521895368273
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 37 48 64 0.994521895368273
+0 0 2 0 0 38 48 64 0.978147600733806
+0 0 2 0 0 39 48 64 0.951056516295154
+0 0 2 0 0 40 48 64 0.913545457642601
+0 0 2 0 0 41 48 64 0.866025403784439
+0 0 2 0 0 42 48 64 0.809016994374948
+0 0 2 0 0 43 48 64 0.743144825477395
+0 0 2 0 0 44 48 64 0.669130606358859
+0 0 2 0 0 45 48 64 0.587785252292474
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -0.309016994374946
+0 0 1 0 0 20 48 64 -0.104528463267652
+0 0 1 0 0 22 48 64 0.104528463267655
+0 0 1 0 0 24 48 64 0.309016994374949
+0 0 1 0 0 26 48 64 0.500000000000001
+0 0 1 0 0 28 48 64 0.669130606358859
+0 0 1 0 0 30 48 64 0.809016994374948
+0 0 1 0 0 32 48 64 0.913545457642601
+0 0 1 0 0 34 48 64 0.978147600733806
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 38 48 64 0.978147600733806
+0 0 1 0 0 40 48 64 0.913545457642601
+0 0 1 0 0 42 48 64 0.809016994374948
+0 0 1 0 0 44 48 64 0.669130606358859
+0 0 1 0 0 46 48 64 0.500000000000001
+0 0 1 0 0 48 48 64 0.309016994374949
+0 0 1 0 0 50 48 64 0.104528463267655
+0 0 1 0 0 52 48 64 -0.104528463267652
+0 0 1 0 0 54 48 64 -0.309016994374946
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.80901699437495
+0 0 0 0 0 4 48 64 -0.978147600733806
+0 0 0 0 0 8 48 64 -0.978147600733805
+0 0 0 0 0 12 48 64 -0.809016994374946
+0 0 0 0 0 16 48 64 -0.499999999999998
+0 0 0 0 0 20 48 64 -0.104528463267652
+0 0 0 0 0 24 48 64 0.309016994374949
+0 0 0 0 0 28 48 64 0.669130606358859
+0 0 0 0 0 32 48 64 0.913545457642601
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 40 48 64 0.913545457642601
+0 0 0 0 0 44 48 64 0.669130606358859
+0 0 0 0 0 48 48 64 0.309016994374949
+0 0 0 0 0 52 48 64 -0.104528463267652
+0 0 0 0 0 56 48 64 -0.499999999999998
+0 0 0 0 0 60 48 64 -0.809016994374946
+0 0 0 0 0 64 48 64 -0.978147600733805
+0 0 0 0 0 68 48 64 -0.978147600733806
+0 0 0 0 0 72 48 64 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.651909615077598
+1 0 2 0 0 28 48 64 0.727632226861757
+1 0 2 0 0 29 48 64 0.795757084641662
+1 0 2 0 0 30 48 64 0.85453175813475
+1 0 2 0 0 31 48 64 0.904143679572001
+1 0 2 0 0 32 48 64 0.943849613651632
+1 0 2 0 0 33 48 64 0.973214533850867
+1 0 2 0 0 34 48 64 0.991916711958997
+1 0 2 0 0 35 48 64 0.999751242998988
+1 0 2 0 0 36 48 64 0.996632290209284
+1 0 2 0 0 37 48 64 0.982594025489333
+1 0 2 0 0 38 48 64 0.957790255005101
+1 0 2 0 0 39 48 64 0.922492734056538
+1 0 2 0 0 40 48 64 0.877088189669635
+1 0 2 0 0 41 48 64 0.822074083534209
+1 0 2 0 0 42 48 64 0.758053161709521
+1 0 2 0 0 43 48 64 0.685573567098755
+1 0 2 0 0 44 48 64 0.60619085304572
+1 0 2 0 0 45 48 64 0.519709648987857
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.712050473931948
+2 0 2 0 0 28 48 64 0.781583843698094
+2 0 2 0 0 29 48 64 0.843025259774963
+2 0 2 0 0 30 48 64 0.894196637999352
+2 0 2 0 0 31 48 64 0.936168586212415
+2 0 2 0 0 32 48 64 0.967786185543245
+2 0 2 0 0 33 48 64 0.988806756800127
+2 0 2 0 0 34 48 64 0.998993754308389
+2 0 2 0 0 35 48 64 0.998235567191566
+2 0 2 0 0 36 48 64 0.98654050230637
+2 0 2 0 0 37 48 64 0.964036693231034
+2 0 2 0 0 38 48 64 0.93097069640701
+2 0 2 0 0 39 48 64 0.887704789815009
+2 0 2 0 0 40 48 64 0.834713003781624
+2 0 2 0 0 41 48 64 0.772571137287833
+2 0 2 0 0 42 48 64 0.701922882566005
+2 0 2 0 0 43 48 64 0.623424606511313
+2 0 2 0 0 44 48 64 0.538826962541212
+2 0 2 0 0 45 48 64 0.447787558843344
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -0.152431492460527
+2 0 1 0 0 20 48 64 0.0563600193614062
+2 0 1 0 0 22 48 64 0.265712841995523
+2 0 1 0 0 24 48 64 0.460231992899264
+2 0 1 0 0 26 48 64 0.634779370549878
+2 0 1 0 0 28 48 64 0.781583843698094
+2 0 1 0 0 30 48 64 0.894196637999352
+2 0 1 0 0 32 48 64 0.967786185543245
+2 0 1 0 0 34 48 64 0.998993754308389
+2 0 1 0 0 36 48 64 0.98654050230637
+2 0 1 0 0 38 48 64 0.93097069640701
+2 0 1 0 0 40 48 64 0.834713003781624
+2 0 1 0 0 42 48 64 0.701922882566005
+2 0 1 0 0 44 48 64 0.538826962541212
+2 0 1 0 0 46 48 64 0.351882122506354
+2 0 1 0 0 48 48 64 0.149558345200208
+2 0 1 0 0 50 48 64 -0.0589516342688979
+2 0 1 0 0 52 48 64 -0.26279679501044
+2 0 1 0 0 54 48 64 -0.457422597155463
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.767040935107942
+3 0 2 0 0 28 48 64 0.829947667915722
+3 0 2 0 0 29 48 64 0.884612806838293
+3 0 2 0 0 30 48 64 0.927755552365676
+3 0 2 0 0 31 48 64 0.961898089154164
+3 0 2 0 0 32 48 64 0.98518851840189
+3 0 2 0 0 33 48 64 0.997728108671474
+3 0 2 0 0 34 48 64 0.999330904770413
+3 0 2 0 0 35 48 64 0.989985017350036
+3 0 2 0 0 36 48 64 0.969792646911889
+3 0 2 0 0 37 48 64 0.938975025292017
+3 0 2 0 0 38 48 64 0.89786979680189
+3 0 2 0 0 39 48 64 0.84692716923554
+3 0 2 0 0 40 48 64 0.786702215384492
+3 0 2 0 0 41 48 64 0.717844357478858
+3 0 2 0 0 42 48 64 0.641016332962757
+3 0 2 0 0 43 48 64 0.557134770865079
+3 0 2 0 0 44 48 64 0.468258963521186
+3 0 2 0 0 45 48 64 0.373308857576257
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.8172570703812
+4 0 2 0 0 28 48 64 0.873069629165358
+4 0 2 0 0 29 48 64 0.920222577097198
+4 0 2 0 0 30 48 64 0.954984230800394
+4 0 2 0 0 31 48 64 0.981168854858724
+4 0 2 0 0 32 48 64 0.995929410946638
+4 0 2 0 0 33 48 64 0.999919766215497
+4 0 2 0 0 34 48 64 0.992925577292746
+4 0 2 0 0 35 48 64 0.975055187672998
+4 0 2 0 0 36 48 64 0.946501642314714
+4 0 2 0 0 37 48 64 0.907578028310829
+4 0 2 0 0 38 48 64 0.858710639523405
+4 0 2 0 0 39 48 64 0.800434041884727
+4 0 2 0 0 40 48 64 0.733374241117431
+4 0 2 0 0 41 48 64 0.658260598145681
+4 0 2 0 0 42 48 64 0.575787440470886
+4 0 2 0 0 43 48 64 0.487155903121006
+4 0 2 0 0 44 48 64 0.394080179760359
+4 0 2 0 0 45 48 64 0.295797333588946
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0.0113922603551225
+4 0 1 0 0 20 48 64 0.219322218933327
+4 0 1 0 0 22 48 64 0.420199068973527
+4 0 1 0 0 24 48 64 0.598974103207183
+4 0 1 0 0 26 48 64 0.752539198221478
+4 0 1 0 0 28 48 64 0.873069629165358
+4 0 1 0 0 30 48 64 0.954984230800394
+4 0 1 0 0 32 48 64 0.995929410946638
+4 0 1 0 0 34 48 64 0.992925577292746
+4 0 1 0 0 36 48 64 0.946501642314714
+4 0 1 0 0 38 48 64 0.858710639523405
+4 0 1 0 0 40 48 64 0.733374241117431
+4 0 1 0 0 42 48 64 0.575787440470886
+4 0 1 0 0 44 48 64 0.394080179760359
+4 0 1 0 0 46 48 64 0.194289704704288
+4 0 1 0 0 48 48 64 -0.0137281404892237
+4 0 1 0 0 50 48 64 -0.220507844906553
+4 0 1 0 0 52 48 64 -0.417658637620938
+4 0 1 0 0 54 48 64 -0.597316331665305
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.955765485796519
+4 0 0 0 0 4 48 64 -0.994570500607911
+4 0 0 0 0 8 48 64 -0.861405240474848
+4 0 0 0 0 12 48 64 -0.579295188642749
+4 0 0 0 0 16 48 64 -0.197019735962746
+4 0 0 0 0 20 48 64 0.219322218933327
+4 0 0 0 0 24 48 64 0.598974103207183
+4 0 0 0 0 28 48 64 0.873069629165358
+4 0 0 0 0 32 48 64 0.995929410946638
+4 0 0 0 0 36 48 64 0.946501642314714
+4 0 0 0 0 40 48 64 0.733374241117431
+4 0 0 0 0 44 48 64 0.394080179760359
+4 0 0 0 0 48 48 64 -0.0137281404892237
+4 0 0 0 0 52 48 64 -0.417658637620938
+4 0 0 0 0 56 48 64 -0.751699935634057
+4 0 0 0 0 60 48 64 -0.955765485796519
+4 0 0 0 0 64 48 64 -0.994570500607911
+4 0 0 0 0 68 48 64 -0.861405240474848
+4 0 0 0 0 72 48 64 -0.579295188642749
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.861658331762277
+5 0 2 0 0 28 48 64 0.909998273199635
+5 0 2 0 0 29 48 64 0.949601042191555
+5 0 2 0 0 30 48 64 0.975731408642226
+5 0 2 0 0 31 48 64 0.993858181934711
+5 0 2 0 0 32 48 64 0.99992407886453
+5 0 2 0 0 33 48 64 0.99537007996143
+5 0 2 0 0 34 48 64 0.979819821685853
+5 0 2 0 0 35 48 64 0.953546807750284
+5 0 2 0 0 36 48 64 0.916824524749787
+5 0 2 0 0 37 48 64 0.870057388101803
+5 0 2 0 0 38 48 64 0.813756658981732
+5 0 2 0 0 39 48 64 0.748537326577747
+5 0 2 0 0 40 48 64 0.675084140622609
+5 0 2 0 0 41 48 64 0.594227982314214
+5 0 2 0 0 42 48 64 0.506691213415168
+5 0 2 0 0 43 48 64 0.413964673419675
+5 0 2 0 0 44 48 64 0.317758281790492
+5 0 2 0 0 45 48 64 0.216855205439183
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.900541251834603
+6 0 2 0 0 28 48 64 0.941050751434342
+6 0 2 0 0 29 48 64 0.972551770952971
+6 0 2 0 0 30 48 64 0.989874876870108
+6 0 2 0 0 31 48 64 0.999879728730812
+6 0 2 0 0 32 48 64 0.997133631057299
+6 0 2 0 0 33 48 64 0.984114697608935
+6 0 2 0 0 34 48 64 0.960099314199465
+6 0 2 0 0 35 48 64 0.925605181205367
+6 0 2 0 0 36 48 64 0.880961227748025
+6 0 2 0 0 37 48 64 0.826665876324329
+6 0 2 0 0 38 48 64 0.763309525825212
+6 0 2 0 0 39 48 64 0.6915851057022
+6 0 2 0 0 40 48 64 0.61222371262752
+6 0 2 0 0 41 48 64 0.526187860248386
+6 0 2 0 0 42 48 64 0.434236809637141
+6 0 2 0 0 43 48 64 0.338054099405671
+6 0 2 0 0 44 48 64 0.238804046100998
+6 0 2 0 0 45 48 64 0.135890601514092
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.171349925732333
+6 0 1 0 0 20 48 64 0.373029970686084
+6 0 1 0 0 22 48 64 0.563783792969253
+6 0 1 0 0 24 48 64 0.721500034583382
+6 0 1 0 0 26 48 64 0.850136413408487
+6 0 1 0 0 28 48 64 0.941050751434342
+6 0 1 0 0 30 48 64 0.989874876870108
+6 0 1 0 0 32 48 64 0.997133631057299
+6 0 1 0 0 34 48 64 0.960099314199465
+6 0 1 0 0 36 48 64 0.880961227748025
+6 0 1 0 0 38 48 64 0.763309525825212
+6 0 1 0 0 40 48 64 0.61222371262752
+6 0 1 0 0 42 48 64 0.434236809637141
+6 0 1 0 0 44 48 64 0.238804046100998
+6 0 1 0 0 46 48 64 0.0314784031143814
+6 0 1 0 0 48 48 64 -0.1764639913692
+6 0 1 0 0 50 48 64 -0.375858270808843
+6 0 1 0 0 52 48 64 -0.557908474529556
+6 0 1 0 0 54 48 64 -0.718087004621101
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.933137943726491
+7 0 2 0 0 28 48 64 0.965516178555924
+7 0 2 0 0 29 48 64 0.988919288782494
+7 0 2 0 0 30 48 64 0.997353020655858
+7 0 2 0 0 31 48 64 0.999187577316258
+7 0 2 0 0 32 48 64 0.98756853001275
+7 0 2 0 0 33 48 64 0.966235531674265
+7 0 2 0 0 34 48 64 0.933892145473313
+7 0 2 0 0 35 48 64 0.89141931131326
+7 0 2 0 0 36 48 64 0.839152841904983
+7 0 2 0 0 37 48 64 0.777695386779001
+7 0 2 0 0 38 48 64 0.707707009052102
+7 0 2 0 0 39 48 64 0.629959953010167
+7 0 2 0 0 40 48 64 0.545220593623263
+7 0 2 0 0 41 48 64 0.454615185550141
+7 0 2 0 0 42 48 64 0.35891740960853
+7 0 2 0 0 43 48 64 0.259928645169979
+7 0 2 0 0 44 48 64 0.158778820620099
+7 0 2 0 0 45 48 64 0.0545929645868534
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.959631676597353
+8 0 2 0 0 28 48 64 0.983631516335565
+8 0 2 0 0 29 48 64 0.998606063574724
+8 0 2 0 0 30 48 64 0.998129861445735
+8 0 2 0 0 31 48 64 0.99177465614636
+8 0 2 0 0 32 48 64 0.971290760850531
+8 0 2 0 0 33 48 64 0.941858854460701
+8 0 2 0 0 34 48 64 0.9013677138982
+8 0 2 0 0 35 48 64 0.851220626947235
+8 0 2 0 0 36 48 64 0.791679348020936
+8 0 2 0 0 37 48 64 0.723474691733677
+8 0 2 0 0 38 48 64 0.647320872908433
+8 0 2 0 0 39 48 64 0.564077261940211
+8 0 2 0 0 40 48 64 0.474535901291738
+8 0 2 0 0 41 48 64 0.380007285149932
+8 0 2 0 0 42 48 64 0.281268385646936
+8 0 2 0 0 43 48 64 0.180103631479668
+8 0 2 0 0 44 48 64 0.0771621560383866
+8 0 2 0 0 45 48 64 -0.0276551295980301
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.331370286068853
+8 0 1 0 0 20 48 64 0.521259329540353
+8 0 1 0 0 22 48 64 0.692452524847431
+8 0 1 0 0 24 48 64 0.824315235529456
+8 0 1 0 0 26 48 64 0.924950709115942
+8 0 1 0 0 28 48 64 0.983631516335565
+8 0 1 0 0 30 48 64 0.998129861445735
+8 0 1 0 0 32 48 64 0.971290760850531
+8 0 1 0 0 34 48 64 0.9013677138982
+8 0 1 0 0 36 48 64 0.791679348020936
+8 0 1 0 0 38 48 64 0.647320872908433
+8 0 1 0 0 40 48 64 0.474535901291738
+8 0 1 0 0 42 48 64 0.281268385646936
+8 0 1 0 0 44 48 64 0.0771621560383866
+8 0 1 0 0 46 48 64 -0.132157376793459
+8 0 1 0 0 48 48 64 -0.334104514474491
+8 0 1 0 0 50 48 64 -0.52093722953661
+8 0 1 0 0 52 48 64 -0.687281477926158
+8 0 1 0 0 54 48 64 -0.823489407559468
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -1.00236259183865
+8 0 0 0 0 4 48 64 -0.906417389262528
+8 0 0 0 0 8 48 64 -0.653744385539442
+8 0 0 0 0 12 48 64 -0.288033038475295
+8 0 0 0 0 16 48 64 0.127520360561461
+8 0 0 0 0 20 48 64 0.521259329540353
+8 0 0 0 0 24 48 64 0.824315235529456
+8 0 0 0 0 28 48 64 0.983631516335565
+8 0 0 0 0 32 48 64 0.971290760850531
+8 0 0 0 0 36 48 64 0.791679348020936
+8 0 0 0 0 40 48 64 0.474535901291738
+8 0 0 0 0 44 48 64 0.0771621560383866
+8 0 0 0 0 48 48 64 -0.334104514474491
+8 0 0 0 0 52 48 64 -0.687281477926158
+8 0 0 0 0 56 48 64 -0.925062939033713
+8 0 0 0 0 60 48 64 -1.00236259183865
+8 0 0 0 0 64 48 64 -0.906417389262528
+8 0 0 0 0 68 48 64 -0.653744385539442
+8 0 0 0 0 72 48 64 -0.288033038475295
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.979522394926427
+9 0 2 0 0 28 48 64 0.994949058957819
+9 0 2 0 0 29 48 64 1.00155306469829
+9 0 2 0 0 30 48 64 0.992216994579214
+9 0 2 0 0 31 48 64 0.977677520574414
+9 0 2 0 0 32 48 64 0.948414545015055
+9 0 2 0 0 33 48 64 0.911152651183213
+9 0 2 0 0 34 48 64 0.862735877450767
+9 0 2 0 0 35 48 64 0.805281240591704
+9 0 2 0 0 36 48 64 0.738856948924592
+9 0 2 0 0 37 48 64 0.66436706921524
+9 0 2 0 0 38 48 64 0.582554908456244
+9 0 2 0 0 39 48 64 0.494383006914857
+9 0 2 0 0 40 48 64 0.400660090715143
+9 0 2 0 0 41 48 64 0.302882590818387
+9 0 2 0 0 42 48 64 0.201796369353135
+9 0 2 0 0 43 48 64 0.0990996681789885
+9 0 2 0 0 44 48 64 -0.00442825670899079
+9 0 2 0 0 45 48 64 -0.109126883534929
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.992904302712177
+10 0 2 0 0 28 48 64 0.9996180416945
+10 0 2 0 0 29 48 64 0.997755089593378
+10 0 2 0 0 30 48 64 0.979651844901972
+10 0 2 0 0 31 48 64 0.956976452768149
+10 0 2 0 0 32 48 64 0.919104812878963
+10 0 2 0 0 33 48 64 0.874323824069922
+10 0 2 0 0 34 48 64 0.818246477106666
+10 0 2 0 0 35 48 64 0.753911735704131
+10 0 2 0 0 36 48 64 0.681035265045959
+10 0 2 0 0 37 48 64 0.600767976552479
+10 0 2 0 0 38 48 64 0.51384297211578
+10 0 2 0 0 39 48 64 0.421351068910341
+10 0 2 0 0 40 48 64 0.324107406337792
+10 0 2 0 0 41 48 64 0.223768574727125
+10 0 2 0 0 42 48 64 0.121043340206438
+10 0 2 0 0 43 48 64 0.0174448294102601
+10 0 2 0 0 44 48 64 -0.0865316479337494
+10 0 2 0 0 45 48 64 -0.190432223333164
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.478675681166316
+10 0 1 0 0 20 48 64 0.651880289281464
+10 0 1 0 0 22 48 64 0.802598547195325
+10 0 1 0 0 24 48 64 0.904770631644155
+10 0 1 0 0 26 48 64 0.974991013671792
+10 0 1 0 0 28 48 64 0.9996180416945
+10 0 1 0 0 30 48 64 0.979651844901972
+10 0 1 0 0 32 48 64 0.919104812878963
+10 0 1 0 0 34 48 64 0.818246477106666
+10 0 1 0 0 36 48 64 0.681035265045959
+10 0 1 0 0 38 48 64 0.51384297211578
+10 0 1 0 0 40 48 64 0.324107406337792
+10 0 1 0 0 42 48 64 0.121043340206438
+10 0 1 0 0 44 48 64 -0.0865316479337494
+10 0 1 0 0 46 48 64 -0.29216271855061
+10 0 1 0 0 48 48 64 -0.482538973279383
+10 0 1 0 0 50 48 64 -0.652033248997704
+10 0 1 0 0 52 48 64 -0.795233029341178
+10 0 1 0 0 54 48 64 -0.904340984014868
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0.999535428486159
+11 0 2 0 0 28 48 64 0.99746273059071
+11 0 2 0 0 29 48 64 0.987241529667667
+11 0 2 0 0 30 48 64 0.960511736002182
+11 0 2 0 0 31 48 64 0.929798915717165
+11 0 2 0 0 32 48 64 0.883574041207677
+11 0 2 0 0 33 48 64 0.831615641441191
+11 0 2 0 0 34 48 64 0.768189126243368
+11 0 2 0 0 35 48 64 0.697458571236934
+11 0 2 0 0 36 48 64 0.618594748559011
+11 0 2 0 0 37 48 64 0.533102912358249
+11 0 2 0 0 38 48 64 0.441646964417054
+11 0 2 0 0 39 48 64 0.345479731407788
+11 0 2 0 0 40 48 64 0.245409311811909
+11 0 2 0 0 41 48 64 0.143201473159837
+11 0 2 0 0 42 48 64 0.0395176267061775
+11 0 2 0 0 43 48 64 -0.0643310341699245
+11 0 2 0 0 44 48 64 -0.167506965192302
+11 0 2 0 0 45 48 64 -0.26988295581939
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0.999436992662785
+12 0 2 0 0 28 48 64 0.988541703631413
+12 0 2 0 0 29 48 64 0.970090714268273
+12 0 2 0 0 30 48 64 0.934906903001621
+12 0 2 0 0 31 48 64 0.896319326599637
+12 0 2 0 0 32 48 64 0.842077537695202
+12 0 2 0 0 33 48 64 0.783305934799337
+12 0 2 0 0 34 48 64 0.712893079881278
+12 0 2 0 0 35 48 64 0.636301281456171
+12 0 2 0 0 36 48 64 0.551944666175462
+12 0 2 0 0 37 48 64 0.461825518383063
+12 0 2 0 0 38 48 64 0.366454505356591
+12 0 2 0 0 39 48 64 0.26728776070265
+12 0 2 0 0 40 48 64 0.165107946626902
+12 0 2 0 0 41 48 64 0.0617163140466486
+12 0 2 0 0 42 48 64 -0.0422376137522719
+12 0 2 0 0 43 48 64 -0.145692624164484
+12 0 2 0 0 44 48 64 -0.247901225965844
+12 0 2 0 0 45 48 64 -0.348054525231922
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.617398344547631
+12 0 1 0 0 20 48 64 0.768936185314308
+12 0 1 0 0 22 48 64 0.891195300052413
+12 0 1 0 0 24 48 64 0.960623829901699
+12 0 1 0 0 26 48 64 0.998906711813427
+12 0 1 0 0 28 48 64 0.988541703631413
+12 0 1 0 0 30 48 64 0.934906903001621
+12 0 1 0 0 32 48 64 0.842077537695202
+12 0 1 0 0 34 48 64 0.712893079881278
+12 0 1 0 0 36 48 64 0.551944666175462
+12 0 1 0 0 38 48 64 0.366454505356591
+12 0 1 0 0 40 48 64 0.165107946626902
+12 0 1 0 0 42 48 64 -0.0422376137522719
+12 0 1 0 0 44 48 64 -0.247901225965844
+12 0 1 0 0 46 48 64 -0.444190208182154
+12 0 1 0 0 48 48 64 -0.617761157312865
+12 0 1 0 0 50 48 64 -0.765740694800315
+12 0 1 0 0 52 48 64 -0.885278001597805
+12 0 1 0 0 54 48 64 -0.963803825186627
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -0.943615878124977
+12 0 0 0 0 4 48 64 -0.722688394071916
+12 0 0 0 0 8 48 64 -0.37676865988688
+12 0 0 0 0 12 48 64 0.0343121543287696
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+12 0 0 0 0 20 48 64 0.768936185314308
+12 0 0 0 0 24 48 64 0.960623829901699
+12 0 0 0 0 28 48 64 0.988541703631413
+12 0 0 0 0 32 48 64 0.842077537695202
+12 0 0 0 0 36 48 64 0.551944666175462
+12 0 0 0 0 40 48 64 0.165107946626902
+12 0 0 0 0 44 48 64 -0.247901225965844
+12 0 0 0 0 48 48 64 -0.617761157312865
+12 0 0 0 0 52 48 64 -0.885278001597805
+12 0 0 0 0 56 48 64 -1.00170639800334
+12 0 0 0 0 60 48 64 -0.943615878124977
+12 0 0 0 0 64 48 64 -0.722688394071916
+12 0 0 0 0 68 48 64 -0.37676865988688
+12 0 0 0 0 72 48 64 0.0343121543287696
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0.992618037219795
+13 0 2 0 0 28 48 64 0.97295073382607
+13 0 2 0 0 29 48 64 0.946413901489816
+13 0 2 0 0 30 48 64 0.902986090763508
+13 0 2 0 0 31 48 64 0.856759457871654
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+13 0 2 0 0 33 48 64 0.729706221368073
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+13 0 2 0 0 35 48 64 0.57084969800343
+13 0 2 0 0 36 48 64 0.481521872851975
+13 0 2 0 0 37 48 64 0.387415836629884
+13 0 2 0 0 38 48 64 0.288776218631638
+13 0 2 0 0 39 48 64 0.187309950861999
+13 0 2 0 0 40 48 64 0.0837501776551233
+13 0 2 0 0 41 48 64 -0.020150143408944
+13 0 2 0 0 42 48 64 -0.123711738284042
+13 0 2 0 0 43 48 64 -0.226106076297873
+13 0 2 0 0 44 48 64 -0.326085347288115
+13 0 2 0 0 45 48 64 -0.423321837019524
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0.979023703110058
+14 0 2 0 0 28 48 64 0.950657896838194
+14 0 2 0 0 29 48 64 0.916369327760328
+14 0 2 0 0 30 48 64 0.864942478490123
+14 0 2 0 0 31 48 64 0.811386863896716
+14 0 2 0 0 32 48 64 0.742392769572438
+14 0 2 0 0 33 48 64 0.671161727448693
+14 0 2 0 0 34 48 64 0.588097269560414
+14 0 2 0 0 35 48 64 0.50154140770362
+14 0 2 0 0 36 48 64 0.407790367582084
+14 0 2 0 0 37 48 64 0.310378494900831
+14 0 2 0 0 38 48 64 0.209142447318002
+14 0 2 0 0 39 48 64 0.106092744099612
+14 0 2 0 0 40 48 64 0.00188311909249167
+14 0 2 0 0 41 48 64 -0.101866117550044
+14 0 2 0 0 42 48 64 -0.204358085888387
+14 0 2 0 0 43 48 64 -0.305034606454932
+14 0 2 0 0 44 48 64 -0.402602356814535
+14 0 2 0 0 45 48 64 -0.496229249712174
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.736324766009443
+14 0 1 0 0 20 48 64 0.862372428160186
+14 0 1 0 0 22 48 64 0.955735241570573
+14 0 1 0 0 24 48 64 0.990561419079397
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+14 0 1 0 0 28 48 64 0.950657896838194
+14 0 1 0 0 30 48 64 0.864942478490123
+14 0 1 0 0 32 48 64 0.742392769572438
+14 0 1 0 0 34 48 64 0.588097269560414
+14 0 1 0 0 36 48 64 0.407790367582084
+14 0 1 0 0 38 48 64 0.209142447318002
+14 0 1 0 0 40 48 64 0.00188311909249167
+14 0 1 0 0 42 48 64 -0.204358085888387
+14 0 1 0 0 44 48 64 -0.402602356814535
+14 0 1 0 0 46 48 64 -0.584101674265515
+14 0 1 0 0 48 48 64 -0.736366075521613
+14 0 1 0 0 50 48 64 -0.859223397121987
+14 0 1 0 0 52 48 64 -0.949713933987447
+14 0 1 0 0 54 48 64 -0.99626770991879
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0.958927399240332
+15 0 2 0 0 28 48 64 0.922025459193271
+15 0 2 0 0 29 48 64 0.880149981028036
+15 0 2 0 0 30 48 64 0.821007997531328
+15 0 2 0 0 31 48 64 0.760512182976108
+15 0 2 0 0 32 48 64 0.684885977163543
+15 0 2 0 0 33 48 64 0.608051996146486
+15 0 2 0 0 34 48 64 0.519447618037372
+15 0 2 0 0 35 48 64 0.428839568407387
+15 0 2 0 0 36 48 64 0.33124132959367
+15 0 2 0 0 37 48 64 0.23124048163125
+15 0 2 0 0 38 48 64 0.128099443464029
+15 0 2 0 0 39 48 64 0.0241898388195493
+15 0 2 0 0 40 48 64 -0.0799490081055107
+15 0 2 0 0 41 48 64 -0.182899114370567
+15 0 2 0 0 42 48 64 -0.283661546088099
+15 0 2 0 0 43 48 64 -0.381948706254511
+15 0 2 0 0 44 48 64 -0.47587710032362
+15 0 2 0 0 45 48 64 -0.565262245816008
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0.932173668542882
+16 0 2 0 0 28 48 64 0.886932665382805
+16 0 2 0 0 29 48 64 0.837996963975109
+16 0 2 0 0 30 48 64 0.771468628383565
+16 0 2 0 0 31 48 64 0.704486830599887
+16 0 2 0 0 32 48 64 0.622770373351595
+16 0 2 0 0 33 48 64 0.540791504955769
+16 0 2 0 0 34 48 64 0.447254749195197
+16 0 2 0 0 35 48 64 0.353231058532879
+16 0 2 0 0 36 48 64 0.252393062663056
+16 0 2 0 0 37 48 64 0.150548134389386
+16 0 2 0 0 38 48 64 0.0462049942665864
+16 0 2 0 0 39 48 64 -0.0578417448001501
+16 0 2 0 0 40 48 64 -0.161206617928903
+16 0 2 0 0 41 48 64 -0.262721198364199
+16 0 2 0 0 42 48 64 -0.361074842815271
+16 0 2 0 0 43 48 64 -0.456321083548988
+16 0 2 0 0 44 48 64 -0.54643462922253
+16 0 2 0 0 45 48 64 -0.630931643559442
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.838850933362769
+16 0 1 0 0 20 48 64 0.935540547645333
+16 0 1 0 0 22 48 64 0.994488866820748
+16 0 1 0 0 24 48 64 0.993790164123184
+16 0 1 0 0 26 48 64 0.966504094686268
+16 0 1 0 0 28 48 64 0.886932665382805
+16 0 1 0 0 30 48 64 0.771468628383565
+16 0 1 0 0 32 48 64 0.622770373351595
+16 0 1 0 0 34 48 64 0.447254749195197
+16 0 1 0 0 36 48 64 0.252393062663056
+16 0 1 0 0 38 48 64 0.0462049942665864
+16 0 1 0 0 40 48 64 -0.161206617928903
+16 0 1 0 0 42 48 64 -0.361074842815271
+16 0 1 0 0 44 48 64 -0.54643462922253
+16 0 1 0 0 46 48 64 -0.708139165976353
+16 0 1 0 0 48 48 64 -0.835293556349929
+16 0 1 0 0 50 48 64 -0.930066233899338
+16 0 1 0 0 52 48 64 -0.991108313412968
+16 0 1 0 0 54 48 64 -1.00350008646033
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -0.785400983552274
+16 0 0 0 0 4 48 64 -0.462470086885686
+16 0 0 0 0 8 48 64 -0.0594243413235221
+16 0 0 0 0 12 48 64 0.353919660461266
+16 0 0 0 0 16 48 64 0.705944092909414
+16 0 0 0 0 20 48 64 0.935540547645333
+16 0 0 0 0 24 48 64 0.993790164123184
+16 0 0 0 0 28 48 64 0.886932665382805
+16 0 0 0 0 32 48 64 0.622770373351595
+16 0 0 0 0 36 48 64 0.252393062663056
+16 0 0 0 0 40 48 64 -0.161206617928903
+16 0 0 0 0 44 48 64 -0.54643462922253
+16 0 0 0 0 48 48 64 -0.835293556349929
+16 0 0 0 0 52 48 64 -0.991108313412968
+16 0 0 0 0 56 48 64 -0.973203114289668
+16 0 0 0 0 60 48 64 -0.785400983552274
+16 0 0 0 0 64 48 64 -0.462470086885686
+16 0 0 0 0 68 48 64 -0.0594243413235221
+16 0 0 0 0 72 48 64 0.353919660461266
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0.899324307121523
+17 0 2 0 0 28 48 64 0.846003214645581
+17 0 2 0 0 29 48 64 0.790188721684464
+17 0 2 0 0 30 48 64 0.716644650041448
+17 0 2 0 0 31 48 64 0.643698445325655
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+17 0 2 0 0 33 48 64 0.46982971593134
+17 0 2 0 0 34 48 64 0.37202502627459
+17 0 2 0 0 35 48 64 0.27522476493405
+17 0 2 0 0 36 48 64 0.171790094564383
+17 0 2 0 0 37 48 64 0.0688630215260225
+17 0 2 0 0 38 48 64 -0.0359763670390406
+17 0 2 0 0 39 48 64 -0.139445497497659
+17 0 2 0 0 40 48 64 -0.241356076837281
+17 0 2 0 0 41 48 64 -0.340803674736286
+17 0 2 0 0 42 48 64 -0.436086526937216
+17 0 2 0 0 43 48 64 -0.527641942562843
+17 0 2 0 0 44 48 64 -0.612804928497989
+17 0 2 0 0 45 48 64 -0.691858880950144
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0.860092882486103
+18 0 2 0 0 28 48 64 0.799029207235338
+18 0 2 0 0 29 48 64 0.737052229006281
+18 0 2 0 0 30 48 64 0.656913092287482
+18 0 2 0 0 31 48 64 0.578569011674145
+18 0 2 0 0 32 48 64 0.486371620434245
+18 0 2 0 0 33 48 64 0.395649882967159
+18 0 2 0 0 34 48 64 0.294289212076919
+18 0 2 0 0 35 48 64 0.195349675174987
+18 0 2 0 0 36 48 64 0.0900006603758642
+18 0 2 0 0 37 48 64 -0.0132434457000006
+18 0 2 0 0 38 48 64 -0.117878543798558
+18 0 2 0 0 39 48 64 -0.22006898926752
+18 0 2 0 0 40 48 64 -0.319870916984534
+18 0 2 0 0 41 48 64 -0.416624093619561
+18 0 2 0 0 42 48 64 -0.508164727742772
+18 0 2 0 0 43 48 64 -0.595412266996054
+18 0 2 0 0 44 48 64 -0.675478003154424
+18 0 2 0 0 45 48 64 -0.748516131962092
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.916538031052666
+18 0 1 0 0 20 48 64 0.981617002960029
+18 0 1 0 0 22 48 64 1.00633759825742
+18 0 1 0 0 24 48 64 0.9704033382268
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+18 0 1 0 0 34 48 64 0.294289212076919
+18 0 1 0 0 36 48 64 0.0900006603758642
+18 0 1 0 0 38 48 64 -0.117878543798558
+18 0 1 0 0 40 48 64 -0.319870916984534
+18 0 1 0 0 42 48 64 -0.508164727742772
+18 0 1 0 0 44 48 64 -0.675478003154424
+18 0 1 0 0 46 48 64 -0.813018686978476
+18 0 1 0 0 48 48 64 -0.912146339764763
+18 0 1 0 0 50 48 64 -0.976532058482793
+18 0 1 0 0 52 48 64 -1.00530824702886
+18 0 1 0 0 54 48 64 -0.984035770728606
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0.815350440001792
+19 0 2 0 0 28 48 64 0.746886467214306
+19 0 2 0 0 29 48 64 0.678950926931599
+19 0 2 0 0 30 48 64 0.592673535172691
+19 0 2 0 0 31 48 64 0.509549360583464
+19 0 2 0 0 32 48 64 0.412982046240835
+19 0 2 0 0 33 48 64 0.318766312142662
+19 0 2 0 0 34 48 64 0.214596499523822
+19 0 2 0 0 35 48 64 0.114152374351124
+19 0 2 0 0 36 48 64 0.00761195522317316
+19 0 2 0 0 37 48 64 -0.0951966033307777
+19 0 2 0 0 38 48 64 -0.198939267276875
+19 0 2 0 0 39 48 64 -0.2991677121192
+19 0 2 0 0 40 48 64 -0.396233898084331
+19 0 2 0 0 41 48 64 -0.489664323791891
+19 0 2 0 0 42 48 64 -0.57682233971736
+19 0 2 0 0 43 48 64 -0.659163628006995
+19 0 2 0 0 44 48 64 -0.733141485930393
+19 0 2 0 0 45 48 64 -0.799716353424731
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0.764659415205309
+20 0 2 0 0 28 48 64 0.68928305322841
+20 0 2 0 0 29 48 64 0.616292153577239
+20 0 2 0 0 30 48 64 0.524378149893508
+20 0 2 0 0 31 48 64 0.437118042561305
+20 0 2 0 0 32 48 64 0.336769951560306
+20 0 2 0 0 33 48 64 0.239719792306721
+20 0 2 0 0 34 48 64 0.133507959147627
+20 0 2 0 0 35 48 64 0.0321935884716705
+20 0 2 0 0 36 48 64 -0.0747771250552153
+20 0 2 0 0 37 48 64 -0.176425985313932
+20 0 2 0 0 38 48 64 -0.278605592089514
+20 0 2 0 0 39 48 64 -0.376209049318906
+20 0 2 0 0 40 48 64 -0.469939630960516
+20 0 2 0 0 41 48 64 -0.55942056590355
+20 0 2 0 0 42 48 64 -0.641568233167656
+20 0 2 0 0 43 48 64 -0.718448687753992
+20 0 2 0 0 44 48 64 -0.78623283257971
+20 0 2 0 0 45 48 64 -0.845865294455396
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.971754160609055
+20 0 1 0 0 20 48 64 1.00287630770751
+20 0 1 0 0 22 48 64 0.991032382870175
+20 0 1 0 0 24 48 64 0.921059037677398
+20 0 1 0 0 26 48 64 0.830915264822186
+20 0 1 0 0 28 48 64 0.68928305322841
+20 0 1 0 0 30 48 64 0.524378149893508
+20 0 1 0 0 32 48 64 0.336769951560306
+20 0 1 0 0 34 48 64 0.133507959147627
+20 0 1 0 0 36 48 64 -0.0747771250552153
+20 0 1 0 0 38 48 64 -0.278605592089514
+20 0 1 0 0 40 48 64 -0.469939630960516
+20 0 1 0 0 42 48 64 -0.641568233167656
+20 0 1 0 0 44 48 64 -0.78623283257971
+20 0 1 0 0 46 48 64 -0.896042765882623
+20 0 1 0 0 48 48 64 -0.965033194132403
+20 0 1 0 0 50 48 64 -0.997378067034926
+20 0 1 0 0 52 48 64 -0.993698032450287
+20 0 1 0 0 54 48 64 -0.938112736618853
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -0.544109835381725
+20 0 0 0 0 4 48 64 -0.152945249728061
+20 0 0 0 0 8 48 64 0.265013709557117
+20 0 0 0 0 12 48 64 0.637111051807843
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+20 0 0 0 0 20 48 64 1.00287630770751
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+20 0 0 0 0 28 48 64 0.68928305322841
+20 0 0 0 0 32 48 64 0.336769951560306
+20 0 0 0 0 36 48 64 -0.0747771250552153
+20 0 0 0 0 40 48 64 -0.469939630960516
+20 0 0 0 0 44 48 64 -0.78623283257971
+20 0 0 0 0 48 48 64 -0.965033194132403
+20 0 0 0 0 52 48 64 -0.993698032450287
+20 0 0 0 0 56 48 64 -0.842019057183894
+20 0 0 0 0 60 48 64 -0.544109835381725
+20 0 0 0 0 64 48 64 -0.152945249728061
+20 0 0 0 0 68 48 64 0.265013709557117
+20 0 0 0 0 72 48 64 0.637111051807843
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0.709203494041008
+21 0 2 0 0 28 48 64 0.627330757603175
+21 0 2 0 0 29 48 64 0.549512948480864
+21 0 2 0 0 30 48 64 0.452485519340991
+21 0 2 0 0 31 48 64 0.36177470774553
+21 0 2 0 0 32 48 64 0.258242800743338
+21 0 2 0 0 33 48 64 0.159071500153849
+21 0 2 0 0 34 48 64 0.0515897937181005
+21 0 2 0 0 35 48 64 -0.0499564413421491
+21 0 2 0 0 36 48 64 -0.156565590174413
+21 0 2 0 0 37 48 64 -0.256373034911693
+21 0 2 0 0 38 48 64 -0.356339147733442
+21 0 2 0 0 39 48 64 -0.450676633790786
+21 0 2 0 0 40 48 64 -0.540497986480735
+21 0 2 0 0 41 48 64 -0.62540490230332
+21 0 2 0 0 42 48 64 -0.701964897675098
+21 0 2 0 0 43 48 64 -0.772863103225423
+21 0 2 0 0 44 48 64 -0.833644915998117
+21 0 2 0 0 45 48 64 -0.886011731494551
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0.648391123493553
+22 0 2 0 0 28 48 64 0.56065898289676
+22 0 2 0 0 29 48 64 0.479083411508102
+22 0 2 0 0 30 48 64 0.377500286121423
+22 0 2 0 0 31 48 64 0.284039325741387
+22 0 2 0 0 32 48 64 0.177928041599695
+22 0 2 0 0 33 48 64 0.0773956073089265
+22 0 2 0 0 34 48 64 -0.0305932199269395
+22 0 2 0 0 35 48 64 -0.131723748711327
+22 0 2 0 0 36 48 64 -0.237161635947279
+22 0 2 0 0 37 48 64 -0.334498276862467
+22 0 2 0 0 38 48 64 -0.43162079257845
+22 0 2 0 0 39 48 64 -0.522074569828438
+22 0 2 0 0 40 48 64 -0.607437306927062
+22 0 2 0 0 41 48 64 -0.687156338965408
+22 0 2 0 0 42 48 64 -0.757586796906891
+22 0 2 0 0 43 48 64 -0.822032717413413
+22 0 2 0 0 44 48 64 -0.875746778553701
+22 0 2 0 0 45 48 64 -0.920466396288029
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0.999688374688144
+22 0 1 0 0 20 48 64 0.996503878030569
+22 0 1 0 0 22 48 64 0.948945107646476
+22 0 1 0 0 24 48 64 0.847164689235263
+22 0 1 0 0 26 48 64 0.728359837769123
+22 0 1 0 0 28 48 64 0.56065898289676
+22 0 1 0 0 30 48 64 0.377500286121423
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+22 0 1 0 0 34 48 64 -0.0305932199269395
+22 0 1 0 0 36 48 64 -0.237161635947279
+22 0 1 0 0 38 48 64 -0.43162079257845
+22 0 1 0 0 40 48 64 -0.607437306927062
+22 0 1 0 0 42 48 64 -0.757586796906891
+22 0 1 0 0 44 48 64 -0.875746778553701
+22 0 1 0 0 46 48 64 -0.955141416195149
+22 0 1 0 0 48 48 64 -0.992694621011917
+22 0 1 0 0 50 48 64 -0.992095985435333
+22 0 1 0 0 52 48 64 -0.956028900094727
+22 0 1 0 0 54 48 64 -0.868466644121628
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0.58369914321658
+23 0 2 0 0 28 48 64 0.490586722464473
+23 0 2 0 0 29 48 64 0.405492653058136
+23 0 2 0 0 30 48 64 0.299918530418444
+23 0 2 0 0 31 48 64 0.204444187419277
+23 0 2 0 0 32 48 64 0.0963691133605442
+23 0 2 0 0 33 48 64 -0.00472859299936251
+23 0 2 0 0 34 48 64 -0.112483627903193
+23 0 2 0 0 35 48 64 -0.212537346998359
+23 0 2 0 0 36 48 64 -0.315994455858404
+23 0 2 0 0 37 48 64 -0.410287074779038
+23 0 2 0 0 38 48 64 -0.503954114665762
+23 0 2 0 0 39 48 64 -0.589931315461796
+23 0 2 0 0 40 48 64 -0.670307460773245
+23 0 2 0 0 41 48 64 -0.744243274973077
+23 0 2 0 0 42 48 64 -0.808067023392194
+23 0 2 0 0 43 48 64 -0.8656345080958
+23 0 2 0 0 44 48 64 -0.911670686754033
+23 0 2 0 0 45 48 64 -0.948554466665273
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0.514391907141441
+24 0 2 0 0 28 48 64 0.416674311854545
+24 0 2 0 0 29 48 64 0.329249127477285
+24 0 2 0 0 30 48 64 0.220278045107541
+24 0 2 0 0 31 48 64 0.123533660079348
+24 0 2 0 0 32 48 64 0.0141208557721461
+24 0 2 0 0 33 48 64 -0.0867245584335367
+24 0 2 0 0 34 48 64 -0.193536156657562
+24 0 2 0 0 35 48 64 -0.291836378113338
+24 0 2 0 0 36 48 64 -0.392525077038734
+24 0 2 0 0 37 48 64 -0.483253178769624
+24 0 2 0 0 38 48 64 -0.572867406785824
+24 0 2 0 0 39 48 64 -0.653802522298804
+24 0 2 0 0 40 48 64 -0.7286820695403
+24 0 2 0 0 41 48 64 -0.796272394753295
+24 0 2 0 0 42 48 64 -0.853063348150294
+24 0 2 0 0 43 48 64 -0.903381016592451
+24 0 2 0 0 44 48 64 -0.94170588509659
+24 0 2 0 0 45 48 64 -0.970470347564392
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 1.00152501754253
+24 0 1 0 0 20 48 64 0.963437908548268
+24 0 1 0 0 22 48 64 0.881297734535772
+24 0 1 0 0 24 48 64 0.75069641656794
+24 0 1 0 0 26 48 64 0.605984870431305
+24 0 1 0 0 28 48 64 0.416674311854545
+24 0 1 0 0 30 48 64 0.220278045107541
+24 0 1 0 0 32 48 64 0.0141208557721461
+24 0 1 0 0 34 48 64 -0.193536156657562
+24 0 1 0 0 36 48 64 -0.392525077038734
+24 0 1 0 0 38 48 64 -0.572867406785824
+24 0 1 0 0 40 48 64 -0.7286820695403
+24 0 1 0 0 42 48 64 -0.853063348150294
+24 0 1 0 0 44 48 64 -0.94170588509659
+24 0 1 0 0 46 48 64 -0.988907594669129
+24 0 1 0 0 48 48 64 -0.994481385639361
+24 0 1 0 0 50 48 64 -0.960715984679717
+24 0 1 0 0 52 48 64 -0.892383773156353
+24 0 1 0 0 54 48 64 -0.77391612695477
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -0.244974042026764
+24 0 0 0 0 4 48 64 0.173462004643304
+24 0 0 0 0 8 48 64 0.562406504720607
+24 0 0 0 0 12 48 64 0.853869709580458
+24 0 0 0 0 16 48 64 0.995679115573382
+24 0 0 0 0 20 48 64 0.963437908548268
+24 0 0 0 0 24 48 64 0.75069641656794
+24 0 0 0 0 28 48 64 0.416674311854545
+24 0 0 0 0 32 48 64 0.0141208557721461
+24 0 0 0 0 36 48 64 -0.392525077038734
+24 0 0 0 0 40 48 64 -0.7286820695403
+24 0 0 0 0 44 48 64 -0.94170588509659
+24 0 0 0 0 48 48 64 -0.994481385639361
+24 0 0 0 0 52 48 64 -0.892383773156353
+24 0 0 0 0 56 48 64 -0.621405683333826
+24 0 0 0 0 60 48 64 -0.244974042026764
+24 0 0 0 0 64 48 64 0.173462004643304
+24 0 0 0 0 68 48 64 0.562406504720607
+24 0 0 0 0 72 48 64 0.853869709580458
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.yl
new file mode 100644
index 000000000..52548611d
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.yl
@@ -0,0 +1,1397 @@
+# HYDROTOY::u y (u)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.800541240924359
+0 0 2 0 0 36 40 64 0.84125353283118
+0 0 2 0 0 36 41 64 0.877678989567255
+0 0 2 0 0 36 42 64 0.909631995354518
+0 0 2 0 0 36 43 64 0.936949724999761
+0 0 2 0 0 36 44 64 0.959492973614497
+0 0 2 0 0 36 45 64 0.977146865971159
+0 0 2 0 0 36 46 64 0.989821441880933
+0 0 2 0 0 36 47 64 0.997452114610254
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 36 49 64 0.997452114610254
+0 0 2 0 0 36 50 64 0.989821441880933
+0 0 2 0 0 36 51 64 0.977146865971159
+0 0 2 0 0 36 52 64 0.959492973614497
+0 0 2 0 0 36 53 64 0.936949724999761
+0 0 2 0 0 36 54 64 0.909631995354518
+0 0 2 0 0 36 55 64 0.877678989567255
+0 0 2 0 0 36 56 64 0.84125353283118
+0 0 2 0 0 36 57 64 0.800541240924359
+0 0 2 0 0 36 58 64 0.755749574354257
+0 0 2 0 0 36 59 64 0.707106781186546
+0 0 2 0 0 36 60 64 0.654860733945283
+0 0 2 0 0 36 61 64 0.599277666511345
+0 0 2 0 0 36 62 64 0.540640817455595
+0 0 2 0 0 36 63 64 0.479248986720054
+0 0 2 0 0 36 64 64 0.415415013001883
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -4.60170638573454e-15
+0 0 1 0 0 36 28 64 0.142314838273281
+0 0 1 0 0 36 30 64 0.281732556841426
+0 0 1 0 0 36 32 64 0.415415013001883
+0 0 1 0 0 36 34 64 0.540640817455595
+0 0 1 0 0 36 36 64 0.654860733945283
+0 0 1 0 0 36 38 64 0.755749574354257
+0 0 1 0 0 36 40 64 0.84125353283118
+0 0 1 0 0 36 42 64 0.909631995354518
+0 0 1 0 0 36 44 64 0.959492973614497
+0 0 1 0 0 36 46 64 0.989821441880933
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 36 50 64 0.989821441880933
+0 0 1 0 0 36 52 64 0.959492973614497
+0 0 1 0 0 36 54 64 0.909631995354518
+0 0 1 0 0 36 56 64 0.84125353283118
+0 0 1 0 0 36 58 64 0.755749574354257
+0 0 1 0 0 36 60 64 0.654860733945283
+0 0 1 0 0 36 62 64 0.540640817455595
+0 0 1 0 0 36 64 64 0.415415013001883
+0 0 1 0 0 36 66 64 0.281732556841426
+0 0 1 0 0 36 68 64 0.142314838273281
+0 0 1 0 0 36 70 64 -4.82375099065957e-15
+0 0 1 0 0 36 72 64 -0.142314838273291
+0 0 1 0 0 36 74 64 -0.281732556841435
+0 0 1 0 0 36 76 64 -0.415415013001892
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.959492973614494
+0 0 0 0 0 36 4 64 -1
+0 0 0 0 0 36 8 64 -0.9594929736145
+0 0 0 0 0 36 12 64 -0.841253532831185
+0 0 0 0 0 36 16 64 -0.65486073394529
+0 0 0 0 0 36 20 64 -0.415415013001892
+0 0 0 0 0 36 24 64 -0.14231483827329
+0 0 0 0 0 36 28 64 0.142314838273281
+0 0 0 0 0 36 32 64 0.415415013001883
+0 0 0 0 0 36 36 64 0.654860733945283
+0 0 0 0 0 36 40 64 0.84125353283118
+0 0 0 0 0 36 44 64 0.959492973614497
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 36 52 64 0.959492973614497
+0 0 0 0 0 36 56 64 0.84125353283118
+0 0 0 0 0 36 60 64 0.654860733945283
+0 0 0 0 0 36 64 64 0.415415013001883
+0 0 0 0 0 36 68 64 0.142314838273281
+0 0 0 0 0 36 72 64 -0.142314838273291
+0 0 0 0 0 36 76 64 -0.415415013001892
+0 0 0 0 0 36 80 64 -0.65486073394529
+0 0 0 0 0 36 84 64 -0.841253532831186
+0 0 0 0 0 36 88 64 -0.9594929736145
+0 0 0 0 0 36 92 64 -1
+0 0 0 0 0 36 96 64 -0.959492973614494
+0 0 0 0 0 36 100 64 -0.841253532831175
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.846843758495474
+1 0 2 0 0 36 40 64 0.882638189143393
+1 0 2 0 0 36 41 64 0.914213976110396
+1 0 2 0 0 36 42 64 0.940661561082913
+1 0 2 0 0 36 43 64 0.962474734286847
+1 0 2 0 0 36 44 64 0.979383356863803
+1 0 2 0 0 36 45 64 0.99130126634893
+1 0 2 0 0 36 46 64 0.998167731807322
+1 0 2 0 0 36 47 64 0.999947763304937
+1 0 2 0 0 36 48 64 0.996632290209284
+1 0 2 0 0 36 49 64 0.988238207411283
+1 0 2 0 0 36 50 64 0.974808289232777
+1 0 2 0 0 36 51 64 0.956410971458392
+1 0 2 0 0 36 52 64 0.933140002602462
+1 0 2 0 0 36 53 64 0.905113966188094
+1 0 2 0 0 36 54 64 0.872475676472715
+1 0 2 0 0 36 55 64 0.835391450699347
+1 0 2 0 0 36 56 64 0.794050261582068
+1 0 2 0 0 36 57 64 0.748662774344369
+1 0 2 0 0 36 58 64 0.699460273217473
+1 0 2 0 0 36 59 64 0.646693482868899
+1 0 2 0 0 36 60 64 0.590631290767033
+1 0 2 0 0 36 61 64 0.531559376992222
+1 0 2 0 0 36 62 64 0.469702903155495
+1 0 2 0 0 36 63 64 0.405942513358111
+1 0 2 0 0 36 64 64 0.339713376545664
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.887735080968129
+2 0 2 0 0 36 40 64 0.918335765219103
+2 0 2 0 0 36 41 64 0.944576634541874
+2 0 2 0 0 36 42 64 0.965246999431349
+2 0 2 0 0 36 43 64 0.981511414263247
+2 0 2 0 0 36 44 64 0.992666300213519
+2 0 2 0 0 36 45 64 0.998767754485118
+2 0 2 0 0 36 46 64 0.999779717217912
+2 0 2 0 0 36 47 64 0.995697031681777
+2 0 2 0 0 36 48 64 0.98654050230637
+2 0 2 0 0 36 49 64 0.972356788666525
+2 0 2 0 0 36 50 64 0.953218167715751
+2 0 2 0 0 36 51 64 0.929222165479449
+2 0 2 0 0 36 52 64 0.90049106008464
+2 0 2 0 0 36 53 64 0.867171258658657
+2 0 2 0 0 36 54 64 0.829432551271984
+2 0 2 0 0 36 55 64 0.78746724572698
+2 0 2 0 0 36 56 64 0.741489187601393
+2 0 2 0 0 36 57 64 0.691732670540316
+2 0 2 0 0 36 58 64 0.63845124234948
+2 0 2 0 0 36 59 64 0.581916412973748
+2 0 2 0 0 36 60 64 0.522413900465893
+2 0 2 0 0 36 61 64 0.460224719879587
+2 0 2 0 0 36 62 64 0.395606483106318
+2 0 2 0 0 36 63 64 0.329501301393974
+2 0 2 0 0 36 64 64 0.261303073357463
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.160432558454101
+2 0 1 0 0 36 28 64 0.299355363480423
+2 0 1 0 0 36 30 64 0.434887450436028
+2 0 1 0 0 36 32 64 0.55844492057536
+2 0 1 0 0 36 34 64 0.670832090622102
+2 0 1 0 0 36 36 64 0.76956305382378
+2 0 1 0 0 36 38 64 0.852627932486192
+2 0 1 0 0 36 40 64 0.918335765219103
+2 0 1 0 0 36 42 64 0.965246999431349
+2 0 1 0 0 36 44 64 0.992666300213519
+2 0 1 0 0 36 46 64 0.999779717217912
+2 0 1 0 0 36 48 64 0.98654050230637
+2 0 1 0 0 36 50 64 0.953218167715751
+2 0 1 0 0 36 52 64 0.90049106008464
+2 0 1 0 0 36 54 64 0.829432551271984
+2 0 1 0 0 36 56 64 0.741489187601393
+2 0 1 0 0 36 58 64 0.63845124234948
+2 0 1 0 0 36 60 64 0.522413900465893
+2 0 1 0 0 36 62 64 0.395606483106318
+2 0 1 0 0 36 64 64 0.261303073357463
+2 0 1 0 0 36 66 64 0.121259907983552
+2 0 1 0 0 36 68 64 -0.0212517594322059
+2 0 1 0 0 36 70 64 -0.163330802310938
+2 0 1 0 0 36 72 64 -0.301789547539521
+2 0 1 0 0 36 74 64 -0.432092373697179
+2 0 1 0 0 36 76 64 -0.556165730036812
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.922403923088012
+3 0 2 0 0 36 40 64 0.947623889687703
+3 0 2 0 0 36 41 64 0.96854865179105
+3 0 2 0 0 36 42 64 0.983237066340403
+3 0 2 0 0 36 43 64 0.993941035760071
+3 0 2 0 0 36 44 64 0.999246131945411
+3 0 2 0 0 36 45 64 0.999496035175371
+3 0 2 0 0 36 46 64 0.994646446055412
+3 0 2 0 0 36 47 64 0.98472852189746
+3 0 2 0 0 36 48 64 0.969792646911889
+3 0 2 0 0 36 49 64 0.949914930894018
+3 0 2 0 0 36 50 64 0.925196666128293
+3 0 2 0 0 36 51 64 0.895763811226027
+3 0 2 0 0 36 52 64 0.861766349269188
+3 0 2 0 0 36 53 64 0.823377523530993
+3 0 2 0 0 36 54 64 0.780792954667897
+3 0 2 0 0 36 55 64 0.734229643881571
+3 0 2 0 0 36 56 64 0.683924867130515
+3 0 2 0 0 36 57 64 0.630134966026168
+3 0 2 0 0 36 58 64 0.573133967497345
+3 0 2 0 0 36 59 64 0.51321039612458
+3 0 2 0 0 36 60 64 0.45066526947718
+3 0 2 0 0 36 61 64 0.385763301048234
+3 0 2 0 0 36 62 64 0.318843048487129
+3 0 2 0 0 36 63 64 0.251068361548999
+3 0 2 0 0 36 64 64 0.181622729233937
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.95110537570999
+4 0 2 0 0 36 40 64 0.970743353006063
+4 0 2 0 0 36 41 64 0.985965479541082
+4 0 2 0 0 36 42 64 0.994523194095754
+4 0 2 0 0 36 43 64 0.999685297051554
+4 0 2 0 0 36 44 64 0.999067312823913
+4 0 2 0 0 36 45 64 0.993482200155461
+4 0 2 0 0 36 46 64 0.982802196788913
+4 0 2 0 0 36 47 64 0.967116164528913
+4 0 2 0 0 36 48 64 0.946501642314714
+4 0 2 0 0 36 49 64 0.921063969540669
+4 0 2 0 0 36 50 64 0.890932765904596
+4 0 2 0 0 36 51 64 0.856261573113533
+4 0 2 0 0 36 52 64 0.817227067618596
+4 0 2 0 0 36 53 64 0.774028160312276
+4 0 2 0 0 36 54 64 0.726884982924133
+4 0 2 0 0 36 55 64 0.676037766279953
+4 0 2 0 0 36 56 64 0.621745613825609
+4 0 2 0 0 36 57 64 0.564285086385888
+4 0 2 0 0 36 58 64 0.503948628181959
+4 0 2 0 0 36 59 64 0.441036010021081
+4 0 2 0 0 36 60 64 0.37586556784684
+4 0 2 0 0 36 61 64 0.308702283180952
+4 0 2 0 0 36 62 64 0.239944774644492
+4 0 2 0 0 36 63 64 0.170699713817812
+4 0 2 0 0 36 64 64 0.100192802242866
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.320195163949167
+4 0 1 0 0 36 28 64 0.452002019295973
+4 0 1 0 0 36 30 64 0.576437219105059
+4 0 1 0 0 36 32 64 0.686273359409448
+4 0 1 0 0 36 34 64 0.783037566642035
+4 0 1 0 0 36 36 64 0.863619219378005
+4 0 1 0 0 36 38 64 0.926623078325413
+4 0 1 0 0 36 40 64 0.970743353006063
+4 0 1 0 0 36 42 64 0.994523194095754
+4 0 1 0 0 36 44 64 0.999067312823913
+4 0 1 0 0 36 46 64 0.982802196788913
+4 0 1 0 0 36 48 64 0.946501642314714
+4 0 1 0 0 36 50 64 0.890932765904596
+4 0 1 0 0 36 52 64 0.817227067618596
+4 0 1 0 0 36 54 64 0.726884982924133
+4 0 1 0 0 36 56 64 0.621745613825609
+4 0 1 0 0 36 58 64 0.503948628181959
+4 0 1 0 0 36 60 64 0.37586556784684
+4 0 1 0 0 36 62 64 0.239944774644492
+4 0 1 0 0 36 64 64 0.100192802242866
+4 0 1 0 0 36 66 64 -0.0425108546185317
+4 0 1 0 0 36 68 64 -0.184267513912292
+4 0 1 0 0 36 70 64 -0.322024676883886
+4 0 1 0 0 36 72 64 -0.453152121957099
+4 0 1 0 0 36 74 64 -0.574468832385415
+4 0 1 0 0 36 76 64 -0.685417277112103
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -1.00051323460778
+4 0 0 0 0 36 4 64 -0.948719671596804
+4 0 0 0 0 36 8 64 -0.820066483046201
+4 0 0 0 0 36 12 64 -0.624976385162354
+4 0 0 0 0 36 16 64 -0.379254417430333
+4 0 0 0 0 36 20 64 -0.102807512310972
+4 0 0 0 0 36 24 64 0.181968246036004
+4 0 0 0 0 36 28 64 0.452002019295973
+4 0 0 0 0 36 32 64 0.686273359409448
+4 0 0 0 0 36 36 64 0.863619219378005
+4 0 0 0 0 36 40 64 0.970743353006063
+4 0 0 0 0 36 44 64 0.999067312823913
+4 0 0 0 0 36 48 64 0.946501642314714
+4 0 0 0 0 36 52 64 0.817227067618596
+4 0 0 0 0 36 56 64 0.621745613825609
+4 0 0 0 0 36 60 64 0.37586556784684
+4 0 0 0 0 36 64 64 0.100192802242866
+4 0 0 0 0 36 68 64 -0.184267513912292
+4 0 0 0 0 36 72 64 -0.453152121957099
+4 0 0 0 0 36 76 64 -0.685417277112103
+4 0 0 0 0 36 80 64 -0.863304103470106
+4 0 0 0 0 36 84 64 -0.971251165632156
+4 0 0 0 0 36 88 64 -1.00051323460778
+4 0 0 0 0 36 92 64 -0.948719671596804
+4 0 0 0 0 36 96 64 -0.820066483046201
+4 0 0 0 0 36 100 64 -0.624976385162354
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.973228802297975
+5 0 2 0 0 36 40 64 0.987151003241097
+5 0 2 0 0 36 41 64 0.996707485026946
+5 0 2 0 0 36 42 64 0.999064156677068
+5 0 2 0 0 36 43 64 0.998707772465216
+5 0 2 0 0 36 44 64 0.99211759371913
+5 0 2 0 0 36 45 64 0.980769001191977
+5 0 2 0 0 36 46 64 0.96432553625048
+5 0 2 0 0 36 47 64 0.942978761301711
+5 0 2 0 0 36 48 64 0.916824524749787
+5 0 2 0 0 36 49 64 0.885998465893542
+5 0 2 0 0 36 50 64 0.850657550229862
+5 0 2 0 0 36 51 64 0.810981878709236
+5 0 2 0 0 36 52 64 0.767173629546858
+5 0 2 0 0 36 53 64 0.719456039304644
+5 0 2 0 0 36 54 64 0.668072266039995
+5 0 2 0 0 36 55 64 0.613284145135827
+5 0 2 0 0 36 56 64 0.555370841525989
+5 0 2 0 0 36 57 64 0.494626846043916
+5 0 2 0 0 36 58 64 0.431360928885677
+5 0 2 0 0 36 59 64 0.365877828867326
+5 0 2 0 0 36 60 64 0.298518577417631
+5 0 2 0 0 36 61 64 0.229571055089493
+5 0 2 0 0 36 62 64 0.159465190271741
+5 0 2 0 0 36 63 64 0.0894514189251538
+5 0 2 0 0 36 64 64 0.0186097545022283
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.988921189774504
+6 0 2 0 0 36 40 64 0.997027891037166
+6 0 2 0 0 36 41 64 1.00071187800735
+6 0 2 0 0 36 42 64 0.996857442814982
+6 0 2 0 0 36 43 64 0.9910121114486
+6 0 2 0 0 36 44 64 0.978431547898393
+6 0 2 0 0 36 45 64 0.961445343459516
+6 0 2 0 0 36 46 64 0.939337964980308
+6 0 2 0 0 36 47 64 0.912479219823803
+6 0 2 0 0 36 48 64 0.880961227748025
+6 0 2 0 0 36 49 64 0.844954804480292
+6 0 2 0 0 36 50 64 0.804642553902948
+6 0 2 0 0 36 51 64 0.760230032618729
+6 0 2 0 0 36 52 64 0.711943554387565
+6 0 2 0 0 36 53 64 0.660029173361655
+6 0 2 0 0 36 54 64 0.604751434975068
+6 0 2 0 0 36 55 64 0.546391979273503
+6 0 2 0 0 36 56 64 0.485248107455337
+6 0 2 0 0 36 57 64 0.421629260462816
+6 0 2 0 0 36 58 64 0.355858949998583
+6 0 2 0 0 36 59 64 0.288242553423156
+6 0 2 0 0 36 60 64 0.219148037400001
+6 0 2 0 0 36 61 64 0.148927242040753
+6 0 2 0 0 36 62 64 0.0779501376618205
+6 0 2 0 0 36 63 64 0.00731235311659914
+6 0 2 0 0 36 64 64 -0.0636585680273028
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.467911509348912
+6 0 1 0 0 36 28 64 0.589255846106157
+6 0 1 0 0 36 30 64 0.702501806054214
+6 0 1 0 0 36 32 64 0.795479566795861
+6 0 1 0 0 36 34 64 0.87425996779985
+6 0 1 0 0 36 36 64 0.934486367144312
+6 0 1 0 0 36 38 64 0.975722588986564
+6 0 1 0 0 36 40 64 0.997027891037166
+6 0 1 0 0 36 42 64 0.996857442814982
+6 0 1 0 0 36 44 64 0.978431547898393
+6 0 1 0 0 36 46 64 0.939337964980308
+6 0 1 0 0 36 48 64 0.880961227748025
+6 0 1 0 0 36 50 64 0.804642553902948
+6 0 1 0 0 36 52 64 0.711943554387565
+6 0 1 0 0 36 54 64 0.604751434975068
+6 0 1 0 0 36 56 64 0.485248107455337
+6 0 1 0 0 36 58 64 0.355858949998583
+6 0 1 0 0 36 60 64 0.219148037400001
+6 0 1 0 0 36 62 64 0.0779501376618205
+6 0 1 0 0 36 64 64 -0.0636585680273028
+6 0 1 0 0 36 66 64 -0.205192341027414
+6 0 1 0 0 36 68 64 -0.342326808268247
+6 0 1 0 0 36 70 64 -0.471849963327002
+6 0 1 0 0 36 72 64 -0.592212577838032
+6 0 1 0 0 36 74 64 -0.699113028947863
+6 0 1 0 0 36 76 64 -0.793912736129098
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0.997876882997989
+7 0 2 0 0 36 40 64 1.00010255933115
+7 0 2 0 0 36 41 64 0.997958341750875
+7 0 2 0 0 36 42 64 0.987951833905678
+7 0 2 0 0 36 43 64 0.976644277459009
+7 0 2 0 0 36 44 64 0.95809386944128
+7 0 2 0 0 36 45 64 0.935644858876132
+7 0 2 0 0 36 46 64 0.908002407075992
+7 0 2 0 0 36 47 64 0.875823404375184
+7 0 2 0 0 36 48 64 0.839152841904983
+7 0 2 0 0 36 49 64 0.798209388867865
+7 0 2 0 0 36 50 64 0.753197710472579
+7 0 2 0 0 36 51 64 0.704347945817723
+7 0 2 0 0 36 52 64 0.651908987178792
+7 0 2 0 0 36 53 64 0.596148039146837
+7 0 2 0 0 36 54 64 0.537349256265124
+7 0 2 0 0 36 55 64 0.475812058733377
+7 0 2 0 0 36 56 64 0.411849847673253
+7 0 2 0 0 36 57 64 0.345783304453782
+7 0 2 0 0 36 58 64 0.277950018731586
+7 0 2 0 0 36 59 64 0.208656492510936
+7 0 2 0 0 36 60 64 0.138296343395024
+7 0 2 0 0 36 61 64 0.0673157785608875
+7 0 2 0 0 36 62 64 -0.00404024110071891
+7 0 2 0 0 36 63 64 -0.0745317055590793
+7 0 2 0 0 36 64 64 -0.144985028983082
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 1.00012361314013
+8 0 2 0 0 36 40 64 0.996465493810756
+8 0 2 0 0 36 41 64 0.988479605630784
+8 0 2 0 0 36 42 64 0.972429476548153
+8 0 2 0 0 36 43 64 0.955692364465681
+8 0 2 0 0 36 44 64 0.931241073851453
+8 0 2 0 0 36 45 64 0.903543785435992
+8 0 2 0 0 36 46 64 0.87052187761938
+8 0 2 0 0 36 47 64 0.833258544121521
+8 0 2 0 0 36 48 64 0.791679348020936
+8 0 2 0 0 36 49 64 0.746076454448277
+8 0 2 0 0 36 50 64 0.696668899390138
+8 0 2 0 0 36 51 64 0.643711496251945
+8 0 2 0 0 36 52 64 0.587473870194757
+8 0 2 0 0 36 53 64 0.528242566704537
+8 0 2 0 0 36 54 64 0.466319453871886
+8 0 2 0 0 36 55 64 0.402019394782116
+8 0 2 0 0 36 56 64 0.335669865516839
+8 0 2 0 0 36 57 64 0.26759867800249
+8 0 2 0 0 36 58 64 0.198157758234811
+8 0 2 0 0 36 59 64 0.127662104910621
+8 0 2 0 0 36 60 64 0.0565169969397587
+8 0 2 0 0 36 61 64 -0.0146965980972927
+8 0 2 0 0 36 62 64 -0.0859595183429788
+8 0 2 0 0 36 63 64 -0.156253862809014
+8 0 2 0 0 36 64 64 -0.225912007152656
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.607480707319265
+8 0 1 0 0 36 28 64 0.714783163782234
+8 0 1 0 0 36 30 64 0.809665280266265
+8 0 1 0 0 36 32 64 0.882977660552486
+8 0 1 0 0 36 34 64 0.942044115260511
+8 0 1 0 0 36 36 64 0.980223890750315
+8 0 1 0 0 36 38 64 0.998565812355346
+8 0 1 0 0 36 40 64 0.996465493810756
+8 0 1 0 0 36 42 64 0.972429476548153
+8 0 1 0 0 36 44 64 0.931241073851453
+8 0 1 0 0 36 46 64 0.87052187761938
+8 0 1 0 0 36 48 64 0.791679348020936
+8 0 1 0 0 36 50 64 0.696668899390138
+8 0 1 0 0 36 52 64 0.587473870194757
+8 0 1 0 0 36 54 64 0.466319453871886
+8 0 1 0 0 36 56 64 0.335669865516839
+8 0 1 0 0 36 58 64 0.198157758234811
+8 0 1 0 0 36 60 64 0.0565169969397587
+8 0 1 0 0 36 62 64 -0.0859595183429788
+8 0 1 0 0 36 64 64 -0.225912007152656
+8 0 1 0 0 36 66 64 -0.362395082717802
+8 0 1 0 0 36 68 64 -0.49117334425683
+8 0 1 0 0 36 70 64 -0.608714801652168
+8 0 1 0 0 36 72 64 -0.715255215606285
+8 0 1 0 0 36 74 64 -0.808253596368512
+8 0 1 0 0 36 76 64 -0.88473774645402
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -0.936397049231443
+8 0 0 0 0 36 4 64 -0.79750835846836
+8 0 0 0 0 36 8 64 -0.594010283467016
+8 0 0 0 0 36 12 64 -0.342389028014344
+8 0 0 0 0 36 16 64 -0.0630294497779055
+8 0 0 0 0 36 20 64 0.221436399628968
+8 0 0 0 0 36 24 64 0.487989541442671
+8 0 0 0 0 36 28 64 0.714783163782234
+8 0 0 0 0 36 32 64 0.882977660552486
+8 0 0 0 0 36 36 64 0.980223890750315
+8 0 0 0 0 36 40 64 0.996465493810756
+8 0 0 0 0 36 44 64 0.931241073851453
+8 0 0 0 0 36 48 64 0.791679348020936
+8 0 0 0 0 36 52 64 0.587473870194757
+8 0 0 0 0 36 56 64 0.335669865516839
+8 0 0 0 0 36 60 64 0.0565169969397587
+8 0 0 0 0 36 64 64 -0.225912007152656
+8 0 0 0 0 36 68 64 -0.49117334425683
+8 0 0 0 0 36 72 64 -0.715255215606285
+8 0 0 0 0 36 76 64 -0.88473774645402
+8 0 0 0 0 36 80 64 -0.981520308838447
+8 0 0 0 0 36 84 64 -0.999424420033477
+8 0 0 0 0 36 88 64 -0.936397049231443
+8 0 0 0 0 36 92 64 -0.79750835846836
+8 0 0 0 0 36 96 64 -0.594010283467016
+8 0 0 0 0 36 100 64 -0.342389028014344
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0.99564526118844
+9 0 2 0 0 36 40 64 0.986122783685051
+9 0 2 0 0 36 41 64 0.972345190814497
+9 0 2 0 0 36 42 64 0.950408467240474
+9 0 2 0 0 36 43 64 0.928288357137386
+9 0 2 0 0 36 44 64 0.898061426654031
+9 0 2 0 0 36 45 64 0.865358414248757
+9 0 2 0 0 36 46 64 0.827138540512787
+9 0 2 0 0 36 47 64 0.785071201342183
+9 0 2 0 0 36 48 64 0.738856948924592
+9 0 2 0 0 36 49 64 0.688905591835302
+9 0 2 0 0 36 50 64 0.635435165774977
+9 0 2 0 0 36 51 64 0.578727611423503
+9 0 2 0 0 36 52 64 0.519070852858996
+9 0 2 0 0 36 53 64 0.456768883924643
+9 0 2 0 0 36 54 64 0.392139304082019
+9 0 2 0 0 36 55 64 0.32550967094504
+9 0 2 0 0 36 56 64 0.257219711906155
+9 0 2 0 0 36 57 64 0.187600677025044
+9 0 2 0 0 36 58 64 0.117019050102702
+9 0 2 0 0 36 59 64 0.0458136956565921
+9 0 2 0 0 36 60 64 -0.0256266854169147
+9 0 2 0 0 36 61 64 -0.0965710059928109
+9 0 2 0 0 36 62 64 -0.167258880875404
+9 0 2 0 0 36 63 64 -0.23648348635284
+9 0 2 0 0 36 64 64 -0.304819907472975
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0.984379866941581
+10 0 2 0 0 36 40 64 0.969072399217679
+10 0 2 0 0 36 41 64 0.949670724680464
+10 0 2 0 0 36 42 64 0.922039652287847
+10 0 2 0 0 36 43 64 0.894608239372265
+10 0 2 0 0 36 44 64 0.85879250380239
+10 0 2 0 0 36 45 64 0.821342566539966
+10 0 2 0 0 36 46 64 0.778133286402444
+10 0 2 0 0 36 47 64 0.731584896839627
+10 0 2 0 0 36 48 64 0.681035265045959
+10 0 2 0 0 36 49 64 0.627079145144834
+10 0 2 0 0 36 50 64 0.569905760549735
+10 0 2 0 0 36 51 64 0.509831239205338
+10 0 2 0 0 36 52 64 0.447158096152821
+10 0 2 0 0 36 53 64 0.382205971571669
+10 0 2 0 0 36 54 64 0.315306157207676
+10 0 2 0 0 36 55 64 0.24679570505839
+10 0 2 0 0 36 56 64 0.177025151534019
+10 0 2 0 0 36 57 64 0.106327159793763
+10 0 2 0 0 36 58 64 0.035081106932853
+10 0 2 0 0 36 59 64 -0.036327720076201
+10 0 2 0 0 36 60 64 -0.107572262197683
+10 0 2 0 0 36 61 64 -0.177747915864361
+10 0 2 0 0 36 62 64 -0.247404470866525
+10 0 2 0 0 36 63 64 -0.315612999181864
+10 0 2 0 0 36 64 64 -0.382248594965054
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.727469521208016
+10 0 1 0 0 36 28 64 0.818097137883854
+10 0 1 0 0 36 30 64 0.894997844852756
+10 0 1 0 0 36 32 64 0.946563225649328
+10 0 1 0 0 36 34 64 0.984566141284841
+10 0 1 0 0 36 36 64 0.999547186670635
+10 0 1 0 0 36 38 64 0.994500807920236
+10 0 1 0 0 36 40 64 0.969072399217679
+10 0 1 0 0 36 42 64 0.922039652287847
+10 0 1 0 0 36 44 64 0.85879250380239
+10 0 1 0 0 36 46 64 0.778133286402444
+10 0 1 0 0 36 48 64 0.681035265045959
+10 0 1 0 0 36 50 64 0.569905760549735
+10 0 1 0 0 36 52 64 0.447158096152821
+10 0 1 0 0 36 54 64 0.315306157207676
+10 0 1 0 0 36 56 64 0.177025151534019
+10 0 1 0 0 36 58 64 0.035081106932853
+10 0 1 0 0 36 60 64 -0.107572262197683
+10 0 1 0 0 36 62 64 -0.247404470866525
+10 0 1 0 0 36 64 64 -0.382248594965054
+10 0 1 0 0 36 66 64 -0.509844044462548
+10 0 1 0 0 36 68 64 -0.626775167785522
+10 0 1 0 0 36 70 64 -0.729120636278362
+10 0 1 0 0 36 72 64 -0.819042573270245
+10 0 1 0 0 36 74 64 -0.893050665572054
+10 0 1 0 0 36 76 64 -0.950033346883877
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0.966575388769545
+11 0 2 0 0 36 40 64 0.945591493027616
+11 0 2 0 0 36 41 64 0.920604143940765
+11 0 2 0 0 36 42 64 0.887501912374433
+11 0 2 0 0 36 43 64 0.854871826339012
+11 0 2 0 0 36 44 64 0.813717165249233
+11 0 2 0 0 36 45 64 0.771785520109452
+11 0 2 0 0 36 46 64 0.723825759912968
+11 0 2 0 0 36 47 64 0.673157575241775
+11 0 2 0 0 36 48 64 0.618594748559011
+11 0 2 0 0 36 49 64 0.56100968011875
+11 0 2 0 0 36 50 64 0.500517195956499
+11 0 2 0 0 36 51 64 0.437482411186147
+11 0 2 0 0 36 52 64 0.372216158335044
+11 0 2 0 0 36 53 64 0.305052419235552
+11 0 2 0 0 36 54 64 0.23633407380446
+11 0 2 0 0 36 55 64 0.16640413460913
+11 0 2 0 0 36 56 64 0.0956229109683331
+11 0 2 0 0 36 57 64 0.0243256282106452
+11 0 2 0 0 36 58 64 -0.0471017519047041
+11 0 2 0 0 36 59 64 -0.11819978394936
+11 0 2 0 0 36 60 64 -0.188758344856516
+11 0 2 0 0 36 61 64 -0.257707727745404
+11 0 2 0 0 36 62 64 -0.32586995701771
+11 0 2 0 0 36 63 64 -0.392098671973768
+11 0 2 0 0 36 64 64 -0.456623770243661
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0.942100958312533
+12 0 2 0 0 36 40 64 0.915587680908537
+12 0 2 0 0 36 41 64 0.885334708294217
+12 0 2 0 0 36 42 64 0.847014469496933
+12 0 2 0 0 36 43 64 0.809342230353222
+12 0 2 0 0 36 44 64 0.763158343663227
+12 0 2 0 0 36 45 64 0.717010679093189
+12 0 2 0 0 36 46 64 0.664574615630126
+12 0 2 0 0 36 47 64 0.610179140762682
+12 0 2 0 0 36 48 64 0.551944666175462
+12 0 2 0 0 36 49 64 0.491137689845277
+12 0 2 0 0 36 50 64 0.427730512806188
+12 0 2 0 0 36 51 64 0.362163584336475
+12 0 2 0 0 36 52 64 0.294745126618399
+12 0 2 0 0 36 53 64 0.225823457972725
+12 0 2 0 0 36 54 64 0.155750748127458
+12 0 2 0 0 36 55 64 0.0848724981164916
+12 0 2 0 0 36 56 64 0.0135578391525371
+12 0 2 0 0 36 57 64 -0.0578496982298213
+12 0 2 0 0 36 58 64 -0.1289713486189
+12 0 2 0 0 36 59 64 -0.199244142897201
+12 0 2 0 0 36 60 64 -0.268636022243678
+12 0 2 0 0 36 61 64 -0.335908549676416
+12 0 2 0 0 36 62 64 -0.402141671948713
+12 0 2 0 0 36 63 64 -0.466517248778773
+12 0 2 0 0 36 64 64 -0.528470199770539
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.831565073634567
+12 0 1 0 0 36 28 64 0.902693379891134
+12 0 1 0 0 36 30 64 0.956250421988218
+12 0 1 0 0 36 32 64 0.984520650643352
+12 0 1 0 0 36 34 64 1.0006502611233
+12 0 1 0 0 36 36 64 0.99187204443809
+12 0 1 0 0 36 38 64 0.963620165398048
+12 0 1 0 0 36 40 64 0.915587680908537
+12 0 1 0 0 36 42 64 0.847014469496933
+12 0 1 0 0 36 44 64 0.763158343663227
+12 0 1 0 0 36 46 64 0.664574615630126
+12 0 1 0 0 36 48 64 0.551944666175462
+12 0 1 0 0 36 50 64 0.427730512806188
+12 0 1 0 0 36 52 64 0.294745126618399
+12 0 1 0 0 36 54 64 0.155750748127458
+12 0 1 0 0 36 56 64 0.0135578391525371
+12 0 1 0 0 36 58 64 -0.1289713486189
+12 0 1 0 0 36 60 64 -0.268636022243678
+12 0 1 0 0 36 62 64 -0.402141671948713
+12 0 1 0 0 36 64 64 -0.528470199770539
+12 0 1 0 0 36 66 64 -0.643505567629453
+12 0 1 0 0 36 68 64 -0.745496136247591
+12 0 1 0 0 36 70 64 -0.829870761124515
+12 0 1 0 0 36 72 64 -0.900844894712798
+12 0 1 0 0 36 74 64 -0.957220419474552
+12 0 1 0 0 36 76 64 -0.992419191153
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -0.773613468881637
+12 0 0 0 0 36 4 64 -0.562009242653593
+12 0 0 0 0 36 8 64 -0.30487549313056
+12 0 0 0 0 36 12 64 -0.0230425443184478
+12 0 0 0 0 36 16 64 0.260658010412923
+12 0 0 0 0 36 20 64 0.523228805596429
+12 0 0 0 0 36 24 64 0.743447772794316
+12 0 0 0 0 36 28 64 0.902693379891134
+12 0 0 0 0 36 32 64 0.984520650643352
+12 0 0 0 0 36 36 64 0.99187204443809
+12 0 0 0 0 36 40 64 0.915587680908537
+12 0 0 0 0 36 44 64 0.763158343663227
+12 0 0 0 0 36 48 64 0.551944666175462
+12 0 0 0 0 36 52 64 0.294745126618399
+12 0 0 0 0 36 56 64 0.0135578391525371
+12 0 0 0 0 36 60 64 -0.268636022243678
+12 0 0 0 0 36 64 64 -0.528470199770539
+12 0 0 0 0 36 68 64 -0.745496136247591
+12 0 0 0 0 36 72 64 -0.900844894712798
+12 0 0 0 0 36 76 64 -0.992419191153
+12 0 0 0 0 36 80 64 -0.996830366738477
+12 0 0 0 0 36 84 64 -0.922583948073783
+12 0 0 0 0 36 88 64 -0.773613468881637
+12 0 0 0 0 36 92 64 -0.562009242653593
+12 0 0 0 0 36 96 64 -0.30487549313056
+12 0 0 0 0 36 100 64 -0.0230425443184478
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0.91145204455148
+13 0 2 0 0 36 40 64 0.879596050903145
+13 0 2 0 0 36 41 64 0.844084414663597
+13 0 2 0 0 36 42 64 0.800824222704196
+13 0 2 0 0 36 43 64 0.75832355490384
+13 0 2 0 0 36 44 64 0.707473969847541
+13 0 2 0 0 36 45 64 0.657375104102707
+13 0 2 0 0 36 46 64 0.600777635716768
+13 0 2 0 0 36 47 64 0.543069264164743
+13 0 2 0 0 36 48 64 0.481521872851975
+13 0 2 0 0 36 49 64 0.417929608584173
+13 0 2 0 0 36 50 64 0.352028892578069
+13 0 2 0 0 36 51 64 0.284377354671461
+13 0 2 0 0 36 52 64 0.215262070460869
+13 0 2 0 0 36 53 64 0.145048364409759
+13 0 2 0 0 36 54 64 0.0740948100312152
+13 0 2 0 0 36 55 64 0.00274676535632109
+13 0 2 0 0 36 56 64 -0.0686195219131816
+13 0 2 0 0 36 57 64 -0.139640885597512
+13 0 2 0 0 36 58 64 -0.209969376507041
+13 0 2 0 0 36 59 64 -0.278911245905794
+13 0 2 0 0 36 60 64 -0.346666588524817
+13 0 2 0 0 36 61 64 -0.411855626159897
+13 0 2 0 0 36 62 64 -0.475719739217014
+13 0 2 0 0 36 63 64 -0.537251971525801
+13 0 2 0 0 36 64 64 -0.5963006854668
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0.874427689810973
+14 0 2 0 0 36 40 64 0.837438240330539
+14 0 2 0 0 36 41 64 0.797116899938817
+14 0 2 0 0 36 42 64 0.749230082273791
+14 0 2 0 0 36 43 64 0.702160004911102
+14 0 2 0 0 36 44 64 0.647052542014833
+14 0 2 0 0 36 45 64 0.593269647740114
+14 0 2 0 0 36 46 64 0.532871258309489
+14 0 2 0 0 36 47 64 0.472275555752007
+14 0 2 0 0 36 48 64 0.407790367582084
+14 0 2 0 0 36 49 64 0.34187605959363
+14 0 2 0 0 36 50 64 0.273915633344723
+14 0 2 0 0 36 51 64 0.20464449187104
+14 0 2 0 0 36 52 64 0.134298760497876
+14 0 2 0 0 36 53 64 0.0632682037084588
+14 0 2 0 0 36 54 64 -0.00808653193152906
+14 0 2 0 0 36 55 64 -0.0794207926528167
+14 0 2 0 0 36 56 64 -0.150355122555041
+14 0 2 0 0 36 57 64 -0.220489592909785
+14 0 2 0 0 36 58 64 -0.289541258282965
+14 0 2 0 0 36 59 64 -0.356664387198486
+14 0 2 0 0 36 60 64 -0.422331576814773
+14 0 2 0 0 36 61 64 -0.485032550599544
+14 0 2 0 0 36 62 64 -0.546116741210131
+14 0 2 0 0 36 63 64 -0.604948377240119
+14 0 2 0 0 36 64 64 -0.660610960025408
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.911030998994562
+14 0 1 0 0 36 28 64 0.961039400009255
+14 0 1 0 0 36 30 64 0.991772711443212
+14 0 1 0 0 36 32 64 0.996040805687703
+14 0 1 0 0 36 34 64 0.989830811745744
+14 0 1 0 0 36 36 64 0.95734790294541
+14 0 1 0 0 36 38 64 0.90676362875294
+14 0 1 0 0 36 40 64 0.837438240330539
+14 0 1 0 0 36 42 64 0.749230082273791
+14 0 1 0 0 36 44 64 0.647052542014833
+14 0 1 0 0 36 46 64 0.532871258309489
+14 0 1 0 0 36 48 64 0.407790367582084
+14 0 1 0 0 36 50 64 0.273915633344723
+14 0 1 0 0 36 52 64 0.134298760497876
+14 0 1 0 0 36 54 64 -0.00808653193152906
+14 0 1 0 0 36 56 64 -0.150355122555041
+14 0 1 0 0 36 58 64 -0.289541258282965
+14 0 1 0 0 36 60 64 -0.422331576814773
+14 0 1 0 0 36 62 64 -0.546116741210131
+14 0 1 0 0 36 64 64 -0.660610960025408
+14 0 1 0 0 36 66 64 -0.759719839756493
+14 0 1 0 0 36 68 64 -0.844145865202899
+14 0 1 0 0 36 70 64 -0.90850575576593
+14 0 1 0 0 36 72 64 -0.958645824422787
+14 0 1 0 0 36 74 64 -0.993141946553099
+14 0 1 0 0 36 76 64 -1.0074586778693
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0.83177058555084
+15 0 2 0 0 36 40 64 0.789892434463176
+15 0 2 0 0 36 41 64 0.744732886377291
+15 0 2 0 0 36 42 64 0.692558769823357
+15 0 2 0 0 36 43 64 0.641232339010255
+15 0 2 0 0 36 44 64 0.582310044136302
+15 0 2 0 0 36 45 64 0.525119308200204
+15 0 2 0 0 36 46 64 0.461329067538008
+15 0 2 0 0 36 47 64 0.39827202533234
+15 0 2 0 0 36 48 64 0.33124132959367
+15 0 2 0 0 36 49 64 0.263490099030802
+15 0 2 0 0 36 50 64 0.193912360021438
+15 0 2 0 0 36 51 64 0.123502072434889
+15 0 2 0 0 36 52 64 0.0523994485218639
+15 0 2 0 0 36 53 64 -0.0189662748526438
+15 0 2 0 0 36 54 64 -0.0902396981301373
+15 0 2 0 0 36 55 64 -0.1610736822119
+15 0 2 0 0 36 56 64 -0.231093672866556
+15 0 2 0 0 36 57 64 -0.299840794696942
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+15 0 2 0 0 36 59 64 -0.431983127537628
+15 0 2 0 0 36 60 64 -0.495128021444162
+15 0 2 0 0 36 61 64 -0.554973040858944
+15 0 2 0 0 36 62 64 -0.612863106882389
+15 0 2 0 0 36 63 64 -0.668071174957014
+15 0 2 0 0 36 64 64 -0.720044315987105
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0.783191375711233
+16 0 2 0 0 36 40 64 0.736699238210237
+16 0 2 0 0 36 41 64 0.687277464317392
+16 0 2 0 0 36 42 64 0.63119623285195
+16 0 2 0 0 36 43 64 0.575957220068435
+16 0 2 0 0 36 44 64 0.513687824134701
+16 0 2 0 0 36 45 64 0.453383070893106
+16 0 2 0 0 36 46 64 0.386658816045655
+16 0 2 0 0 36 47 64 0.321557564095214
+16 0 2 0 0 36 48 64 0.252393062663056
+16 0 2 0 0 36 49 64 0.18330509128069
+16 0 2 0 0 36 50 64 0.112557204165378
+16 0 2 0 0 36 51 64 0.0415013493406832
+16 0 2 0 0 36 52 64 -0.0298816058531054
+16 0 2 0 0 36 53 64 -0.10109690334767
+16 0 2 0 0 36 54 64 -0.171807116042869
+16 0 2 0 0 36 55 64 -0.24165362668591
+16 0 2 0 0 36 56 64 -0.310281409496596
+16 0 2 0 0 36 57 64 -0.377147153170629
+16 0 2 0 0 36 58 64 -0.442233636345672
+16 0 2 0 0 36 59 64 -0.504365980207776
+16 0 2 0 0 36 60 64 -0.564577166090972
+16 0 2 0 0 36 61 64 -0.621195922260606
+16 0 2 0 0 36 62 64 -0.675507190423302
+16 0 2 0 0 36 63 64 -0.727197672558467
+16 0 2 0 0 36 64 64 -0.775052989171644
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.968487138553562
+16 0 1 0 0 36 28 64 0.995646028169825
+16 0 1 0 0 36 30 64 1.00070730210588
+16 0 1 0 0 36 32 64 0.980893937095706
+16 0 1 0 0 36 34 64 0.952349650779876
+16 0 1 0 0 36 36 64 0.896869441156949
+16 0 1 0 0 36 38 64 0.825488989764358
+16 0 1 0 0 36 40 64 0.736699238210237
+16 0 1 0 0 36 42 64 0.63119623285195
+16 0 1 0 0 36 44 64 0.513687824134701
+16 0 1 0 0 36 46 64 0.386658816045655
+16 0 1 0 0 36 48 64 0.252393062663056
+16 0 1 0 0 36 50 64 0.112557204165378
+16 0 1 0 0 36 52 64 -0.0298816058531054
+16 0 1 0 0 36 54 64 -0.171807116042869
+16 0 1 0 0 36 56 64 -0.310281409496596
+16 0 1 0 0 36 58 64 -0.442233636345672
+16 0 1 0 0 36 60 64 -0.564577166090972
+16 0 1 0 0 36 62 64 -0.675507190423302
+16 0 1 0 0 36 64 64 -0.775052989171644
+16 0 1 0 0 36 66 64 -0.855326177010438
+16 0 1 0 0 36 68 64 -0.920124501379095
+16 0 1 0 0 36 70 64 -0.962973388919305
+16 0 1 0 0 36 72 64 -0.990945372488538
+16 0 1 0 0 36 74 64 -1.00556480302932
+16 0 1 0 0 36 76 64 -0.996630674163465
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -0.529031091543943
+16 0 0 0 0 36 4 64 -0.266774836606918
+16 0 0 0 0 36 8 64 0.017089571311092
+16 0 0 0 0 36 12 64 0.299567039224753
+16 0 0 0 0 36 16 64 0.55777999571593
+16 0 0 0 0 36 20 64 0.770733483919514
+16 0 0 0 0 36 24 64 0.921092547208896
+16 0 0 0 0 36 28 64 0.995646028169825
+16 0 0 0 0 36 32 64 0.980893937095706
+16 0 0 0 0 36 36 64 0.896869441156949
+16 0 0 0 0 36 40 64 0.736699238210237
+16 0 0 0 0 36 44 64 0.513687824134701
+16 0 0 0 0 36 48 64 0.252393062663056
+16 0 0 0 0 36 52 64 -0.0298816058531054
+16 0 0 0 0 36 56 64 -0.310281409496596
+16 0 0 0 0 36 60 64 -0.564577166090972
+16 0 0 0 0 36 64 64 -0.775052989171644
+16 0 0 0 0 36 68 64 -0.920124501379095
+16 0 0 0 0 36 72 64 -0.990945372488538
+16 0 0 0 0 36 76 64 -0.996630674163465
+16 0 0 0 0 36 80 64 -0.907210235408711
+16 0 0 0 0 36 84 64 -0.748631860263825
+16 0 0 0 0 36 88 64 -0.529031091543943
+16 0 0 0 0 36 92 64 -0.266774836606918
+16 0 0 0 0 36 96 64 0.017089571311092
+16 0 0 0 0 36 100 64 0.299567039224753
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0.729684694849813
+17 0 2 0 0 36 40 64 0.678863683950643
+17 0 2 0 0 36 41 64 0.625135462424381
+17 0 2 0 0 36 42 64 0.565549179257903
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+17 0 2 0 0 36 44 64 0.441651044248147
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+17 0 2 0 0 36 46 64 0.309397690912566
+17 0 2 0 0 36 47 64 0.242654034696447
+17 0 2 0 0 36 48 64 0.171790094564383
+17 0 2 0 0 36 49 64 0.101871799927275
+17 0 2 0 0 36 50 64 0.0304025997236437
+17 0 2 0 0 36 51 64 -0.0407950710769353
+17 0 2 0 0 36 52 64 -0.111983213266695
+17 0 2 0 0 36 53 64 -0.182560903419483
+17 0 2 0 0 36 54 64 -0.252230154692951
+17 0 2 0 0 36 55 64 -0.320603820637825
+17 0 2 0 0 36 56 64 -0.387369774691674
+17 0 2 0 0 36 57 64 -0.451874050371163
+17 0 2 0 0 36 58 64 -0.514304583491303
+17 0 2 0 0 36 59 64 -0.573333100997025
+17 0 2 0 0 36 60 64 -0.630218778631179
+17 0 2 0 0 36 61 64 -0.683270642227876
+17 0 2 0 0 36 62 64 -0.73362027292085
+17 0 2 0 0 36 63 64 -0.781014070341721
+17 0 2 0 0 36 64 64 -0.824454202390865
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0.67085644814028
+18 0 2 0 0 36 40 64 0.616050760891421
+18 0 2 0 0 36 41 64 0.558734852304547
+18 0 2 0 0 36 42 64 0.496081362396619
+18 0 2 0 0 36 43 64 0.434187758327185
+18 0 2 0 0 36 44 64 0.366686688861237
+18 0 2 0 0 36 45 64 0.301149528044676
+18 0 2 0 0 36 46 64 0.230105643033947
+18 0 2 0 0 36 47 64 0.162103512276363
+18 0 2 0 0 36 48 64 0.0900006603758642
+18 0 2 0 0 36 49 64 0.0197543459067325
+18 0 2 0 0 36 50 64 -0.0519876573849883
+18 0 2 0 0 36 51 64 -0.122817122278124
+18 0 2 0 0 36 52 64 -0.193341214629303
+18 0 2 0 0 36 53 64 -0.262794584619954
+18 0 2 0 0 36 54 64 -0.330952960808579
+18 0 2 0 0 36 55 64 -0.397373358453665
+18 0 2 0 0 36 56 64 -0.461820285446147
+18 0 2 0 0 36 57 64 -0.523505307589167
+18 0 2 0 0 36 58 64 -0.58286044709149
+18 0 2 0 0 36 59 64 -0.638428602930574
+18 0 2 0 0 36 60 64 -0.691620321557532
+18 0 2 0 0 36 61 64 -0.740764081558319
+18 0 2 0 0 36 62 64 -0.786801612924153
+18 0 2 0 0 36 63 64 -0.829947276224382
+18 0 2 0 0 36 64 64 -0.868642214707487
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0.998805210966102
+18 0 1 0 0 36 28 64 1.00274617550723
+18 0 1 0 0 36 30 64 0.982827915743948
+18 0 1 0 0 36 32 64 0.939663666519965
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+18 0 1 0 0 36 36 64 0.812067916146587
+18 0 1 0 0 36 38 64 0.722018145321156
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+18 0 1 0 0 36 42 64 0.496081362396619
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+18 0 1 0 0 36 46 64 0.230105643033947
+18 0 1 0 0 36 48 64 0.0900006603758642
+18 0 1 0 0 36 50 64 -0.0519876573849883
+18 0 1 0 0 36 52 64 -0.193341214629303
+18 0 1 0 0 36 54 64 -0.330952960808579
+18 0 1 0 0 36 56 64 -0.461820285446147
+18 0 1 0 0 36 58 64 -0.58286044709149
+18 0 1 0 0 36 60 64 -0.691620321557532
+18 0 1 0 0 36 62 64 -0.786801612924153
+18 0 1 0 0 36 64 64 -0.868642214707487
+18 0 1 0 0 36 66 64 -0.927770208357986
+18 0 1 0 0 36 68 64 -0.971440760643792
+18 0 1 0 0 36 70 64 -0.992014085505431
+18 0 1 0 0 36 72 64 -0.997060910457042
+18 0 1 0 0 36 74 64 -0.988891701531029
+18 0 1 0 0 36 76 64 -0.959464532003943
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0.607944785940564
+19 0 2 0 0 36 40 64 0.549471672949069
+19 0 2 0 0 36 41 64 0.488538834953271
+19 0 2 0 0 36 42 64 0.423262148237771
+19 0 2 0 0 36 43 64 0.35867506075918
+19 0 2 0 0 36 44 64 0.289300614086621
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+19 0 2 0 0 36 47 64 0.080464303460526
+19 0 2 0 0 36 48 64 0.00761195522317316
+19 0 2 0 0 36 49 64 -0.0624751328951415
+19 0 2 0 0 36 50 64 -0.134042343340832
+19 0 2 0 0 36 51 64 -0.203992447511657
+19 0 2 0 0 36 52 64 -0.273393425166161
+19 0 2 0 0 36 53 64 -0.341238145397653
+19 0 2 0 0 36 54 64 -0.407427395734569
+19 0 2 0 0 36 55 64 -0.47142298940292
+19 0 2 0 0 36 56 64 -0.533110631984101
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+19 0 2 0 0 36 58 64 -0.647436411018724
+19 0 2 0 0 36 59 64 -0.699223250091715
+19 0 2 0 0 36 60 64 -0.748371688253029
+19 0 2 0 0 36 61 64 -0.79329364697919
+19 0 2 0 0 36 62 64 -0.834680771008608
+19 0 2 0 0 36 63 64 -0.87296781205848
+19 0 2 0 0 36 64 64 -0.906647724617768
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0.540452827373641
+20 0 2 0 0 36 40 64 0.478722685484755
+20 0 2 0 0 36 41 64 0.415044394718739
+20 0 2 0 0 36 42 64 0.347609167928502
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+20 0 2 0 0 36 44 64 0.210013305074373
+20 0 2 0 0 36 45 64 0.140827431393812
+20 0 2 0 0 36 46 64 0.0677299944788781
+20 0 2 0 0 36 47 64 -0.00169441069045509
+20 0 2 0 0 36 48 64 -0.0747771250552153
+20 0 2 0 0 36 49 64 -0.144243003292005
+20 0 2 0 0 36 50 64 -0.215187808189491
+20 0 2 0 0 36 51 64 -0.28375277786489
+20 0 2 0 0 36 52 64 -0.35158540942634
+20 0 2 0 0 36 53 64 -0.417341561997572
+20 0 2 0 0 36 54 64 -0.481119028681885
+20 0 2 0 0 36 55 64 -0.542232039244533
+20 0 2 0 0 36 56 64 -0.600741728071833
+20 0 2 0 0 36 57 64 -0.655544886068228
+20 0 2 0 0 36 58 64 -0.707600463717883
+20 0 2 0 0 36 59 64 -0.755316713709935
+20 0 2 0 0 36 60 64 -0.800095934232819
+20 0 2 0 0 36 61 64 -0.840488165439442
+20 0 2 0 0 36 62 64 -0.876925392191905
+20 0 2 0 0 36 63 64 -0.910362389669231
+20 0 2 0 0 36 64 64 -0.938793832622956
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 1.00334311202564
+20 0 1 0 0 36 28 64 0.98359553831002
+20 0 1 0 0 36 30 64 0.938712185598956
+20 0 1 0 0 36 32 64 0.873537576710319
+20 0 1 0 0 36 34 64 0.802012335323821
+20 0 1 0 0 36 36 64 0.705273038766166
+20 0 1 0 0 36 38 64 0.599168114427681
+20 0 1 0 0 36 40 64 0.478722685484755
+20 0 1 0 0 36 42 64 0.347609167928502
+20 0 1 0 0 36 44 64 0.210013305074373
+20 0 1 0 0 36 46 64 0.0677299944788781
+20 0 1 0 0 36 48 64 -0.0747771250552153
+20 0 1 0 0 36 50 64 -0.215187808189491
+20 0 1 0 0 36 52 64 -0.35158540942634
+20 0 1 0 0 36 54 64 -0.481119028681885
+20 0 1 0 0 36 56 64 -0.600741728071833
+20 0 1 0 0 36 58 64 -0.707600463717883
+20 0 1 0 0 36 60 64 -0.800095934232819
+20 0 1 0 0 36 62 64 -0.876925392191905
+20 0 1 0 0 36 64 64 -0.938793832622956
+20 0 1 0 0 36 66 64 -0.975180320089048
+20 0 1 0 0 36 68 64 -0.996801732679076
+20 0 1 0 0 36 70 64 -0.994849345466784
+20 0 1 0 0 36 72 64 -0.976834026002591
+20 0 1 0 0 36 74 64 -0.948126874318678
+20 0 1 0 0 36 76 64 -0.896117134067917
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -0.228161080184811
+20 0 0 0 0 36 4 64 0.057286610735005
+20 0 0 0 0 36 8 64 0.338103443471547
+20 0 0 0 0 36 12 64 0.591510017486203
+20 0 0 0 0 36 16 64 0.79699794130943
+20 0 0 0 0 36 20 64 0.937718625554042
+20 0 0 0 0 36 24 64 1.0016928386688
+20 0 0 0 0 36 28 64 0.98359553831002
+20 0 0 0 0 36 32 64 0.873537576710319
+20 0 0 0 0 36 36 64 0.705273038766166
+20 0 0 0 0 36 40 64 0.478722685484755
+20 0 0 0 0 36 44 64 0.210013305074373
+20 0 0 0 0 36 48 64 -0.0747771250552153
+20 0 0 0 0 36 52 64 -0.35158540942634
+20 0 0 0 0 36 56 64 -0.600741728071833
+20 0 0 0 0 36 60 64 -0.800095934232819
+20 0 0 0 0 36 64 64 -0.938793832622956
+20 0 0 0 0 36 68 64 -0.996801732679076
+20 0 0 0 0 36 72 64 -0.976834026002591
+20 0 0 0 0 36 76 64 -0.896117134067917
+20 0 0 0 0 36 80 64 -0.721596576702223
+20 0 0 0 0 36 84 64 -0.495724862252206
+20 0 0 0 0 36 88 64 -0.228161080184811
+20 0 0 0 0 36 92 64 0.057286610735005
+20 0 0 0 0 36 96 64 0.338103443471547
+20 0 0 0 0 36 100 64 0.591510017486203
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0.469829736217281
+21 0 2 0 0 36 40 64 0.405192124950755
+21 0 2 0 0 36 41 64 0.338771709661843
+21 0 2 0 0 36 42 64 0.269628178008999
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+21 0 2 0 0 36 44 64 0.129354812235975
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+21 0 2 0 0 36 46 64 -0.0142027131395383
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+21 0 2 0 0 36 48 64 -0.156565590174413
+21 0 2 0 0 36 49 64 -0.224981407545722
+21 0 2 0 0 36 50 64 -0.294853900362932
+21 0 2 0 0 36 51 64 -0.361541136404065
+21 0 2 0 0 36 52 64 -0.42737667109742
+21 0 2 0 0 36 53 64 -0.490571288254171
+21 0 2 0 0 36 54 64 -0.551513860141101
+21 0 2 0 0 36 55 64 -0.6093059998913
+21 0 2 0 0 36 56 64 -0.664245120196717
+21 0 2 0 0 36 57 64 -0.715066946780324
+21 0 2 0 0 36 58 64 -0.762957472440645
+21 0 2 0 0 36 59 64 -0.806339847904751
+21 0 2 0 0 36 60 64 -0.846443945082863
+21 0 2 0 0 36 61 64 -0.882027897594942
+21 0 2 0 0 36 62 64 -0.913241368161086
+21 0 2 0 0 36 63 64 -0.941367065939037
+21 0 2 0 0 36 64 64 -0.964358758957947
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0.395497232459968
+22 0 2 0 0 36 40 64 0.328417215862977
+22 0 2 0 0 36 41 64 0.260259096446963
+22 0 2 0 0 36 42 64 0.189864182116941
+22 0 2 0 0 36 43 64 0.119940465733407
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+22 0 2 0 0 36 46 64 -0.0958850154370283
+22 0 2 0 0 36 47 64 -0.165279573617279
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+22 0 2 0 0 36 50 64 -0.372480462648226
+22 0 2 0 0 36 51 64 -0.436819202589213
+22 0 2 0 0 36 52 64 -0.500246636607088
+22 0 2 0 0 36 53 64 -0.560417243692501
+22 0 2 0 0 36 54 64 -0.618125186813188
+22 0 2 0 0 36 55 64 -0.672183983620824
+22 0 2 0 0 36 56 64 -0.723189909567979
+22 0 2 0 0 36 57 64 -0.769729951259001
+22 0 2 0 0 36 58 64 -0.813151674063614
+22 0 2 0 0 36 59 64 -0.851956198549985
+22 0 2 0 0 36 60 64 -0.887105879557308
+22 0 2 0 0 36 61 64 -0.91761667449276
+22 0 2 0 0 36 62 64 -0.943378917541593
+22 0 2 0 0 36 63 64 -0.966195994685308
+22 0 2 0 0 36 64 64 -0.983583096877776
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0.98104764784377
+22 0 1 0 0 36 28 64 0.938582162359778
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+22 0 1 0 0 36 48 64 -0.237161635947279
+22 0 1 0 0 36 50 64 -0.372480462648226
+22 0 1 0 0 36 52 64 -0.500246636607088
+22 0 1 0 0 36 54 64 -0.618125186813188
+22 0 1 0 0 36 56 64 -0.723189909567979
+22 0 1 0 0 36 58 64 -0.813151674063614
+22 0 1 0 0 36 60 64 -0.887105879557308
+22 0 1 0 0 36 62 64 -0.943378917541593
+22 0 1 0 0 36 64 64 -0.983583096877776
+22 0 1 0 0 36 66 64 -0.996411802069847
+22 0 1 0 0 36 68 64 -0.995600433718993
+22 0 1 0 0 36 70 64 -0.971479329009369
+22 0 1 0 0 36 72 64 -0.930911227889686
+22 0 1 0 0 36 74 64 -0.880645554149957
+22 0 1 0 0 36 76 64 -0.810228200736522
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0.319064432058653
+23 0 2 0 0 36 40 64 0.249924403256166
+23 0 2 0 0 36 41 64 0.180053424324629
+23 0 2 0 0 36 42 64 0.108836468779133
+23 0 2 0 0 36 43 64 0.0381119620962767
+23 0 2 0 0 36 44 64 -0.033937357178523
+23 0 2 0 0 36 45 64 -0.104907937764324
+23 0 2 0 0 36 46 64 -0.176784551291528
+23 0 2 0 0 36 47 64 -0.245575787971705
+23 0 2 0 0 36 48 64 -0.315994455858404
+23 0 2 0 0 36 49 64 -0.381170307966255
+23 0 2 0 0 36 50 64 -0.447523923671051
+23 0 2 0 0 36 51 64 -0.509074009520185
+23 0 2 0 0 36 52 64 -0.5696997506144
+23 0 2 0 0 36 53 64 -0.62639941395139
+23 0 2 0 0 36 54 64 -0.680499857390749
+23 0 2 0 0 36 55 64 -0.730445065990235
+23 0 2 0 0 36 56 64 -0.777188236205734
+23 0 2 0 0 36 57 64 -0.81918972836386
+23 0 2 0 0 36 58 64 -0.857867700228464
+23 0 2 0 0 36 59 64 -0.891863211508091
+23 0 2 0 0 36 60 64 -0.921804164359329
+23 0 2 0 0 36 61 64 -0.947011801587499
+23 0 2 0 0 36 62 64 -0.967132616727471
+23 0 2 0 0 36 63 64 -0.984308305112391
+23 0 2 0 0 36 64 64 -0.996017843255125
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0.239899482791285
+24 0 2 0 0 36 40 64 0.16920487211874
+24 0 2 0 0 36 41 64 0.0987039997176098
+24 0 2 0 0 36 42 64 0.0270980607747371
+24 0 2 0 0 36 43 64 -0.0439305089058636
+24 0 2 0 0 36 44 64 -0.115503679973907
+24 0 2 0 0 36 45 64 -0.185969559999884
+24 0 2 0 0 36 46 64 -0.256396846624298
+24 0 2 0 0 36 47 64 -0.324145233563623
+24 0 2 0 0 36 48 64 -0.392525077038734
+24 0 2 0 0 36 49 64 -0.455574869010376
+24 0 2 0 0 36 50 64 -0.519463490944382
+24 0 2 0 0 36 51 64 -0.577823159697607
+24 0 2 0 0 36 52 64 -0.635269122336685
+24 0 2 0 0 36 53 64 -0.688073363767503
+24 0 2 0 0 36 54 64 -0.73822315357651
+24 0 2 0 0 36 55 64 -0.783712559761183
+24 0 2 0 0 36 56 64 -0.825898460305315
+24 0 2 0 0 36 57 64 -0.863142650973185
+24 0 2 0 0 36 58 64 -0.896829427009213
+24 0 2 0 0 36 59 64 -0.925792936740862
+24 0 2 0 0 36 60 64 -0.950304506740336
+24 0 2 0 0 36 61 64 -0.97000347175428
+24 0 2 0 0 36 62 64 -0.984342796227201
+24 0 2 0 0 36 63 64 -0.995892023635728
+24 0 2 0 0 36 64 64 -1.0018126657991
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0.931980907044291
+24 0 1 0 0 36 28 64 0.867576699062644
+24 0 1 0 0 36 30 64 0.777199853129743
+24 0 1 0 0 36 32 64 0.674525979865385
+24 0 1 0 0 36 34 64 0.565723687046236
+24 0 1 0 0 36 36 64 0.43811387485623
+24 0 1 0 0 36 38 64 0.309074348145442
+24 0 1 0 0 36 40 64 0.16920487211874
+24 0 1 0 0 36 42 64 0.0270980607747371
+24 0 1 0 0 36 44 64 -0.115503679973907
+24 0 1 0 0 36 46 64 -0.256396846624298
+24 0 1 0 0 36 48 64 -0.392525077038734
+24 0 1 0 0 36 50 64 -0.519463490944382
+24 0 1 0 0 36 52 64 -0.635269122336685
+24 0 1 0 0 36 54 64 -0.73822315357651
+24 0 1 0 0 36 56 64 -0.825898460305315
+24 0 1 0 0 36 58 64 -0.896829427009213
+24 0 1 0 0 36 60 64 -0.950304506740336
+24 0 1 0 0 36 62 64 -0.984342796227201
+24 0 1 0 0 36 64 64 -1.0018126657991
+24 0 1 0 0 36 66 64 -0.99105479718569
+24 0 1 0 0 36 68 64 -0.96794661252943
+24 0 1 0 0 36 70 64 -0.922459335278033
+24 0 1 0 0 36 72 64 -0.860459695668713
+24 0 1 0 0 36 74 64 -0.790718913057396
+24 0 1 0 0 36 76 64 -0.700584491882711
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0.0975184837032076
+24 0 0 0 0 36 4 64 0.376139498517471
+24 0 0 0 0 36 8 64 0.624395008878164
+24 0 0 0 0 36 12 64 0.821987576391212
+24 0 0 0 0 36 16 64 0.952945479737797
+24 0 0 0 0 36 20 64 1.00634054736431
+24 0 0 0 0 36 24 64 0.976240017051093
+24 0 0 0 0 36 28 64 0.867576699062644
+24 0 0 0 0 36 32 64 0.674525979865385
+24 0 0 0 0 36 36 64 0.43811387485623
+24 0 0 0 0 36 40 64 0.16920487211874
+24 0 0 0 0 36 44 64 -0.115503679973907
+24 0 0 0 0 36 48 64 -0.392525077038734
+24 0 0 0 0 36 52 64 -0.635269122336685
+24 0 0 0 0 36 56 64 -0.825898460305315
+24 0 0 0 0 36 60 64 -0.950304506740336
+24 0 0 0 0 36 64 64 -1.0018126657991
+24 0 0 0 0 36 68 64 -0.96794661252943
+24 0 0 0 0 36 72 64 -0.860459695668713
+24 0 0 0 0 36 76 64 -0.700584491882711
+24 0 0 0 0 36 80 64 -0.459086983436625
+24 0 0 0 0 36 84 64 -0.190332030021651
+24 0 0 0 0 36 88 64 0.0975184837032076
+24 0 0 0 0 36 92 64 0.376139498517471
+24 0 0 0 0 36 96 64 0.624395008878164
+24 0 0 0 0 36 100 64 0.821987576391212
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.zl
new file mode 100644
index 000000000..72fde0fca
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.zl
@@ -0,0 +1,1757 @@
+# HYDROTOY::u z (u)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.207911690817761
+0 0 2 0 0 36 48 52 0.309016994374949
+0 0 2 0 0 36 48 53 0.406736643075802
+0 0 2 0 0 36 48 54 0.500000000000001
+0 0 2 0 0 36 48 55 0.587785252292474
+0 0 2 0 0 36 48 56 0.669130606358859
+0 0 2 0 0 36 48 57 0.743144825477395
+0 0 2 0 0 36 48 58 0.809016994374948
+0 0 2 0 0 36 48 59 0.866025403784439
+0 0 2 0 0 36 48 60 0.913545457642601
+0 0 2 0 0 36 48 61 0.951056516295154
+0 0 2 0 0 36 48 62 0.978147600733806
+0 0 2 0 0 36 48 63 0.994521895368273
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 36 48 65 0.994521895368273
+0 0 2 0 0 36 48 66 0.978147600733806
+0 0 2 0 0 36 48 67 0.951056516295154
+0 0 2 0 0 36 48 68 0.913545457642601
+0 0 2 0 0 36 48 69 0.866025403784439
+0 0 2 0 0 36 48 70 0.809016994374948
+0 0 2 0 0 36 48 71 0.743144825477395
+0 0 2 0 0 36 48 72 0.669130606358859
+0 0 2 0 0 36 48 73 0.587785252292474
+0 0 2 0 0 36 48 74 0.500000000000001
+0 0 2 0 0 36 48 75 0.406736643075801
+0 0 2 0 0 36 48 76 0.309016994374949
+0 0 2 0 0 36 48 77 0.207911690817761
+0 0 2 0 0 36 48 78 0.104528463267655
+0 0 2 0 0 36 48 79 1.61554255216634e-15
+0 0 2 0 0 36 48 80 -0.104528463267652
+0 0 2 0 0 36 48 81 -0.207911690817757
+0 0 2 0 0 36 48 82 -0.309016994374945
+0 0 2 0 0 36 48 83 -0.406736643075798
+0 0 2 0 0 36 48 84 -0.499999999999998
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -1
+0 0 1 0 0 36 48 36 -0.978147600733805
+0 0 1 0 0 36 48 38 -0.9135454576426
+0 0 1 0 0 36 48 40 -0.809016994374946
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+0 0 1 0 0 36 48 44 -0.499999999999998
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+0 0 1 0 0 36 48 48 -0.104528463267652
+0 0 1 0 0 36 48 50 0.104528463267655
+0 0 1 0 0 36 48 52 0.309016994374949
+0 0 1 0 0 36 48 54 0.500000000000001
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+0 0 1 0 0 36 48 58 0.809016994374948
+0 0 1 0 0 36 48 60 0.913545457642601
+0 0 1 0 0 36 48 62 0.978147600733806
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 36 48 66 0.978147600733806
+0 0 1 0 0 36 48 68 0.913545457642601
+0 0 1 0 0 36 48 70 0.809016994374948
+0 0 1 0 0 36 48 72 0.669130606358859
+0 0 1 0 0 36 48 74 0.500000000000001
+0 0 1 0 0 36 48 76 0.309016994374949
+0 0 1 0 0 36 48 78 0.104528463267655
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+0 0 1 0 0 36 48 82 -0.309016994374945
+0 0 1 0 0 36 48 84 -0.499999999999998
+0 0 1 0 0 36 48 86 -0.669130606358856
+0 0 1 0 0 36 48 88 -0.809016994374946
+0 0 1 0 0 36 48 90 -0.9135454576426
+0 0 1 0 0 36 48 92 -0.978147600733805
+0 0 1 0 0 36 48 94 -1
+0 0 1 0 0 36 48 96 -0.978147600733806
+0 0 1 0 0 36 48 98 -0.913545457642603
+0 0 1 0 0 36 48 100 -0.80901699437495
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.913545457642604
+0 0 0 0 0 36 48 4 1
+0 0 0 0 0 36 48 8 0.913545457642598
+0 0 0 0 0 36 48 12 0.669130606358854
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+0 0 0 0 0 36 48 56 0.669130606358859
+0 0 0 0 0 36 48 60 0.913545457642601
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 36 48 68 0.913545457642601
+0 0 0 0 0 36 48 72 0.669130606358859
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+0 0 0 0 0 36 48 84 -0.499999999999998
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+0 0 0 0 0 36 48 92 -0.978147600733805
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+0 0 0 0 0 36 48 100 -0.80901699437495
+0 0 0 0 0 36 48 104 -0.500000000000004
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+0 0 0 0 0 36 48 112 0.309016994374942
+0 0 0 0 0 36 48 116 0.669130606358854
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+0 0 0 0 0 36 48 124 1
+0 0 0 0 0 36 48 128 0.913545457642604
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+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.287131515784396
+1 0 2 0 0 36 48 52 0.385700870166775
+1 0 2 0 0 36 48 53 0.480452366870658
+1 0 2 0 0 36 48 54 0.569390500151697
+1 0 2 0 0 36 48 55 0.652201460059551
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+1 0 2 0 0 36 48 61 0.973214533850867
+1 0 2 0 0 36 48 62 0.991916711958997
+1 0 2 0 0 36 48 63 0.999751242998988
+1 0 2 0 0 36 48 64 0.996632290209284
+1 0 2 0 0 36 48 65 0.982594025489333
+1 0 2 0 0 36 48 66 0.957790255005101
+1 0 2 0 0 36 48 67 0.922492734056538
+1 0 2 0 0 36 48 68 0.877088189669636
+1 0 2 0 0 36 48 69 0.822074083534209
+1 0 2 0 0 36 48 70 0.758053161709521
+1 0 2 0 0 36 48 71 0.68572685081232
+1 0 2 0 0 36 48 72 0.605887573040051
+1 0 2 0 0 36 48 73 0.51941006422743
+1 0 2 0 0 36 48 74 0.427241790057588
+1 0 2 0 0 36 48 75 0.330392565429784
+1 0 2 0 0 36 48 76 0.229923490716042
+1 0 2 0 0 36 48 77 0.126935326123431
+1 0 2 0 0 36 48 78 0.0225564315348867
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+1 0 2 0 0 36 48 83 -0.480009934164087
+1 0 2 0 0 36 48 84 -0.569102810349535
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.3648836959112
+2 0 2 0 0 36 48 52 0.460231992899264
+2 0 2 0 0 36 48 53 0.550968192230083
+2 0 2 0 0 36 48 54 0.634887207611392
+2 0 2 0 0 36 48 55 0.712221625621245
+2 0 2 0 0 36 48 56 0.781692845238212
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+2 0 2 0 0 36 48 61 0.988806756800127
+2 0 2 0 0 36 48 62 0.998993754308389
+2 0 2 0 0 36 48 63 0.998235567191566
+2 0 2 0 0 36 48 64 0.98654050230637
+2 0 2 0 0 36 48 65 0.964036693231034
+2 0 2 0 0 36 48 66 0.93097069640701
+2 0 2 0 0 36 48 67 0.887704789815009
+2 0 2 0 0 36 48 68 0.834713003781624
+2 0 2 0 0 36 48 69 0.772575927403883
+2 0 2 0 0 36 48 70 0.701974347493597
+2 0 2 0 0 36 48 71 0.623681789734596
+2 0 2 0 0 36 48 72 0.538556043773458
+2 0 2 0 0 36 48 73 0.44752976509664
+2 0 2 0 0 36 48 74 0.351600256661799
+2 0 2 0 0 36 48 75 0.251818542237888
+2 0 2 0 0 36 48 76 0.1492778511688
+2 0 2 0 0 36 48 77 0.0451016407239086
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+2 0 2 0 0 36 48 83 -0.550496759913957
+2 0 2 0 0 36 48 84 -0.634779370549876
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -0.986764645176802
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+2 0 1 0 0 36 48 98 -0.836236858633532
+2 0 1 0 0 36 48 100 -0.70456292892012
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.439710115392275
+3 0 2 0 0 36 48 52 0.531226852602592
+3 0 2 0 0 36 48 53 0.617797117535352
+3 0 2 0 0 36 48 54 0.696053565389475
+3 0 2 0 0 36 48 55 0.767450528026307
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+3 0 2 0 0 36 48 62 0.999330904770413
+3 0 2 0 0 36 48 63 0.989985017350036
+3 0 2 0 0 36 48 64 0.969792646911889
+3 0 2 0 0 36 48 65 0.938975025292017
+3 0 2 0 0 36 48 66 0.89786979680189
+3 0 2 0 0 36 48 67 0.846927318926666
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+3 0 2 0 0 36 48 69 0.71786482471605
+3 0 2 0 0 36 48 70 0.641158844075291
+3 0 2 0 0 36 48 71 0.557428192967729
+3 0 2 0 0 36 48 72 0.467590241928664
+3 0 2 0 0 36 48 73 0.372629274349481
+3 0 2 0 0 36 48 74 0.273585702462835
+3 0 2 0 0 36 48 75 0.171544668368518
+3 0 2 0 0 36 48 76 0.0676241549895258
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+3 0 2 0 0 36 48 83 -0.61677695687822
+3 0 2 0 0 36 48 84 -0.695815520319614
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.512107178482421
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+4 0 2 0 0 36 48 61 0.999917739901133
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+4 0 2 0 0 36 48 63 0.975055181579348
+4 0 2 0 0 36 48 64 0.946501642314714
+4 0 2 0 0 36 48 65 0.907578032988677
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+4 0 2 0 0 36 48 67 0.800435369313813
+4 0 2 0 0 36 48 68 0.733390192409252
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+4 0 2 0 0 36 48 71 0.487413009966875
+4 0 2 0 0 36 48 72 0.393468915595497
+4 0 2 0 0 36 48 73 0.295213893446191
+4 0 2 0 0 36 48 74 0.19372444610281
+4 0 2 0 0 36 48 75 0.0901125131884797
+4 0 2 0 0 36 48 76 -0.0144867070812038
+4 0 2 0 0 36 48 77 -0.118927050461971
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+4 0 2 0 0 36 48 83 -0.679468370553804
+4 0 2 0 0 36 48 84 -0.752615979752553
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -0.948045062206597
+4 0 1 0 0 36 48 36 -0.861405240474847
+4 0 1 0 0 36 48 38 -0.735425071804322
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+4 0 1 0 0 36 48 56 0.873182318649142
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+4 0 1 0 0 36 48 66 0.858710808810302
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+4 0 1 0 0 36 48 70 0.576016905403326
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+4 0 1 0 0 36 48 74 0.19372444610281
+4 0 1 0 0 36 48 76 -0.0144867070812038
+4 0 1 0 0 36 48 78 -0.222063255863752
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+4 0 1 0 0 36 48 90 -0.996059682562471
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+4 0 1 0 0 36 48 98 -0.735919601592987
+4 0 1 0 0 36 48 100 -0.579295188642754
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 0.996953826263689
+4 0 0 0 0 36 48 4 0.948719671596808
+4 0 0 0 0 36 48 8 0.73644326686319
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+4 0 0 0 0 36 48 64 0.946501642314714
+4 0 0 0 0 36 48 68 0.733390192409252
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+4 0 0 0 0 36 48 124 0.948719671596808
+4 0 0 0 0 36 48 128 0.73644326686319
+4 0 0 0 0 36 48 132 0.396829130911887
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.580583049744437
+5 0 2 0 0 36 48 52 0.662570430575527
+5 0 2 0 0 36 48 53 0.738551479545431
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+5 0 2 0 0 36 48 60 0.999995738088377
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+5 0 2 0 0 36 48 62 0.979821586709078
+5 0 2 0 0 36 48 63 0.953546683772714
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+5 0 2 0 0 36 48 66 0.813757831646755
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+5 0 2 0 0 36 48 72 0.316692086592302
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+5 0 2 0 0 36 48 76 -0.0965007051978509
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+5 0 2 0 0 36 48 83 -0.736987804217344
+5 0 2 0 0 36 48 84 -0.804006297955056
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.645609808935192
+6 0 2 0 0 36 48 52 0.721971907301092
+6 0 2 0 0 36 48 53 0.791643841422777
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+6 0 2 0 0 36 48 55 0.900913659429769
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+6 0 2 0 0 36 48 61 0.984089228941505
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+6 0 2 0 0 36 48 63 0.925604341726627
+6 0 2 0 0 36 48 64 0.880961227748025
+6 0 2 0 0 36 48 65 0.826666106213437
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+6 0 2 0 0 36 48 67 0.691598595077947
+6 0 2 0 0 36 48 68 0.61230603325522
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+6 0 2 0 0 36 48 71 0.338009168367613
+6 0 2 0 0 36 48 72 0.237777562991005
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+6 0 2 0 0 36 48 74 0.0306256243836891
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+6 0 2 0 0 36 48 83 -0.790192443804674
+6 0 2 0 0 36 48 84 -0.850377958558336
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -0.88504128396079
+6 0 1 0 0 36 48 36 -0.768694090603434
+6 0 1 0 0 36 48 38 -0.614841343239414
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+6 0 1 0 0 36 48 60 0.997290160024014
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+6 0 1 0 0 36 48 66 0.763313869953265
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+6 0 1 0 0 36 48 100 -0.441706291557492
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 0.705873049433289
+7 0 2 0 0 36 48 52 0.776093486808575
+7 0 2 0 0 36 48 53 0.83938284105889
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+7 0 2 0 0 36 48 63 0.891415791426648
+7 0 2 0 0 36 48 64 0.839152841904983
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+7 0 2 0 0 36 48 84 -0.890740129771738
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 0.761760613469106
+8 0 2 0 0 36 48 52 0.825354356642917
+8 0 2 0 0 36 48 53 0.881451072967609
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+8 0 2 0 0 36 48 84 -0.925423088858812
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -0.796733086189038
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+8 0 1 0 0 36 48 100 -0.288965398326121
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 0.97571163067272
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+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 0.812164882070232
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+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+10 0 2 0 0 36 48 83 -0.945807024718416
+10 0 2 0 0 36 48 84 -0.975679302876179
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -0.689419435292566
+10 0 1 0 0 36 48 36 -0.522687921978599
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+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.896564354410758
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+11 0 2 0 0 36 48 84 -0.990976586156896
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.929912371085209
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+12 0 2 0 0 36 48 84 -0.9997199869523
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -0.560635847083225
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+12 0 1 0 0 36 48 100 0.0320404806638068
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 0.851778147743213
+12 0 0 0 0 36 48 4 0.562009242653597
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 0.956782451444275
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 0.977344963657999
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+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -0.420092463718798
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+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 0.99119267448296
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 0.99841005058544
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+16 0 1 0 0 36 48 100 0.35073389016784
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 0.637920049169408
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 0.998868098422963
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 0.979607004080386
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+19 0 2 0 0 36 48 84 -0.873894585537769
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 0.959914570838227
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+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 0.0608359186189312
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+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 0.356398201603562
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+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 0.933949599621597
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+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 0.901447052158971
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+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 0.221370160939068
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+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+23 0 2 0 0 36 48 63 -0.214755570924165
+23 0 2 0 0 36 48 64 -0.315994455858404
+23 0 2 0 0 36 48 65 -0.413107766908253
+23 0 2 0 0 36 48 66 -0.505947682000826
+23 0 2 0 0 36 48 67 -0.59322274251793
+23 0 2 0 0 36 48 68 -0.6739245796014
+23 0 2 0 0 36 48 69 -0.74731991401765
+23 0 2 0 0 36 48 70 -0.812414828958825
+23 0 2 0 0 36 48 71 -0.868574111649488
+23 0 2 0 0 36 48 72 -0.915176236620246
+23 0 2 0 0 36 48 73 -0.951488393730963
+23 0 2 0 0 36 48 74 -0.97762929481556
+23 0 2 0 0 36 48 75 -0.992780624838163
+23 0 2 0 0 36 48 76 -0.997743127317775
+23 0 2 0 0 36 48 77 -0.991890539526515
+23 0 2 0 0 36 48 78 -0.975649720944747
+23 0 2 0 0 36 48 79 -0.948746820429724
+23 0 2 0 0 36 48 80 -0.911434111276648
+23 0 2 0 0 36 48 81 -0.863862066375786
+23 0 2 0 0 36 48 82 -0.806859413847678
+23 0 2 0 0 36 48 83 -0.742267904933205
+23 0 2 0 0 36 48 84 -0.668790166484739
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 0.818788698958798
+24 0 2 0 0 36 48 52 0.754714518429059
+24 0 2 0 0 36 48 53 0.680465254625992
+24 0 2 0 0 36 48 54 0.599588224982294
+24 0 2 0 0 36 48 55 0.513481082494148
+24 0 2 0 0 36 48 56 0.419894640214535
+24 0 2 0 0 36 48 57 0.324019812535404
+24 0 2 0 0 36 48 58 0.221675016655828
+24 0 2 0 0 36 48 59 0.120611745410776
+24 0 2 0 0 36 48 60 0.0139474788050337
+24 0 2 0 0 36 48 61 -0.0883812368479551
+24 0 2 0 0 36 48 62 -0.193558271506239
+24 0 2 0 0 36 48 63 -0.293731763802725
+24 0 2 0 0 36 48 64 -0.392525077038734
+24 0 2 0 0 36 48 65 -0.486028882200957
+24 0 2 0 0 36 48 66 -0.574665024344734
+24 0 2 0 0 36 48 67 -0.656865823379861
+24 0 2 0 0 36 48 68 -0.731860912054079
+24 0 2 0 0 36 48 69 -0.798860355641502
+24 0 2 0 0 36 48 70 -0.8570273876731
+24 0 2 0 0 36 48 71 -0.905704098617557
+24 0 2 0 0 36 48 72 -0.94447954695528
+24 0 2 0 0 36 48 73 -0.972599254603057
+24 0 2 0 0 36 48 74 -0.990437872009896
+24 0 2 0 0 36 48 75 -0.997230854300112
+24 0 2 0 0 36 48 76 -0.993814110325832
+24 0 2 0 0 36 48 77 -0.979706832086416
+24 0 2 0 0 36 48 78 -0.95516233596095
+24 0 2 0 0 36 48 79 -0.920091161864515
+24 0 2 0 0 36 48 80 -0.874878027713492
+24 0 2 0 0 36 48 81 -0.819797745702844
+24 0 2 0 0 36 48 82 -0.755782455628652
+24 0 2 0 0 36 48 83 -0.684792263752992
+24 0 2 0 0 36 48 84 -0.605088732289122
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 0.380272199381859
+24 0 1 0 0 36 48 36 0.566674667764393
+24 0 1 0 0 36 48 38 0.734135960660039
+24 0 1 0 0 36 48 40 0.850165102399568
+24 0 1 0 0 36 48 42 0.946809089589225
+24 0 1 0 0 36 48 44 0.992807440780675
+24 0 1 0 0 36 48 46 0.996305790932355
+24 0 1 0 0 36 48 48 0.957900154946224
+24 0 1 0 0 36 48 50 0.874046270217942
+24 0 1 0 0 36 48 52 0.754714518429059
+24 0 1 0 0 36 48 54 0.599588224982294
+24 0 1 0 0 36 48 56 0.419894640214535
+24 0 1 0 0 36 48 58 0.221675016655828
+24 0 1 0 0 36 48 60 0.0139474788050337
+24 0 1 0 0 36 48 62 -0.193558271506239
+24 0 1 0 0 36 48 64 -0.392525077038734
+24 0 1 0 0 36 48 66 -0.574665024344734
+24 0 1 0 0 36 48 68 -0.731860912054079
+24 0 1 0 0 36 48 70 -0.8570273876731
+24 0 1 0 0 36 48 72 -0.94447954695528
+24 0 1 0 0 36 48 74 -0.990437872009896
+24 0 1 0 0 36 48 76 -0.993814110325832
+24 0 1 0 0 36 48 78 -0.95516233596095
+24 0 1 0 0 36 48 80 -0.874878027713492
+24 0 1 0 0 36 48 82 -0.755782455628652
+24 0 1 0 0 36 48 84 -0.605088732289122
+24 0 1 0 0 36 48 86 -0.424445214822042
+24 0 1 0 0 36 48 88 -0.229476850807541
+24 0 1 0 0 36 48 90 -0.0210421646096429
+24 0 1 0 0 36 48 92 0.183357686682359
+24 0 1 0 0 36 48 94 0.379173438218408
+24 0 1 0 0 36 48 96 0.558967039599973
+24 0 1 0 0 36 48 98 0.720674708047907
+24 0 1 0 0 36 48 100 0.852945626096245
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 0.0366537871850513
+24 0 0 0 0 36 48 4 -0.376202192315102
+24 0 0 0 0 36 48 8 -0.723996248719048
+24 0 0 0 0 36 48 12 -0.946605480875112
+24 0 0 0 0 36 48 16 -1.00552927590843
+24 0 0 0 0 36 48 20 -0.890551632610173
+24 0 0 0 0 36 48 24 -0.621312470557276
+24 0 0 0 0 36 48 28 -0.244181071425793
+24 0 0 0 0 36 48 32 0.177040547373138
+24 0 0 0 0 36 48 36 0.566674667764393
+24 0 0 0 0 36 48 40 0.850165102399568
+24 0 0 0 0 36 48 44 0.992807440780675
+24 0 0 0 0 36 48 48 0.957900154946224
+24 0 0 0 0 36 48 52 0.754714518429059
+24 0 0 0 0 36 48 56 0.419894640214535
+24 0 0 0 0 36 48 60 0.0139474788050337
+24 0 0 0 0 36 48 64 -0.392525077038734
+24 0 0 0 0 36 48 68 -0.731860912054079
+24 0 0 0 0 36 48 72 -0.94447954695528
+24 0 0 0 0 36 48 76 -0.993814110325832
+24 0 0 0 0 36 48 80 -0.874878027713492
+24 0 0 0 0 36 48 84 -0.605088732289122
+24 0 0 0 0 36 48 88 -0.229476850807541
+24 0 0 0 0 36 48 92 0.183357686682359
+24 0 0 0 0 36 48 96 0.558967039599973
+24 0 0 0 0 36 48 100 0.852945626096245
+24 0 0 0 0 36 48 104 1.00081194158219
+24 0 0 0 0 36 48 108 0.968171917919814
+24 0 0 0 0 36 48 112 0.773393940921524
+24 0 0 0 0 36 48 116 0.4430810419628
+24 0 0 0 0 36 48 120 0.0366537871850513
+24 0 0 0 0 36 48 124 -0.376202192315102
+24 0 0 0 0 36 48 128 -0.723996248719048
+24 0 0 0 0 36 48 132 -0.946605480875112
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.xl
new file mode 100644
index 000000000..7341851a8
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.xl
@@ -0,0 +1,1082 @@
+# HYDROTOY::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.374387331157387
+0 0 2 0 0 28 48 64 0.426199910483233
+0 0 2 0 0 29 48 64 0.473342954401761
+0 0 2 0 0 30 48 64 0.515299953858481
+0 0 2 0 0 31 48 64 0.55161121918728
+0 0 2 0 0 32 48 64 0.581878916566594
+0 0 2 0 0 33 48 64 0.605771426770014
+0 0 2 0 0 34 48 64 0.62302697845592
+0 0 2 0 0 35 48 64 0.633456516189086
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 37 48 64 0.633456516189086
+0 0 2 0 0 38 48 64 0.62302697845592
+0 0 2 0 0 39 48 64 0.605771426770014
+0 0 2 0 0 40 48 64 0.581878916566594
+0 0 2 0 0 41 48 64 0.55161121918728
+0 0 2 0 0 42 48 64 0.515299953858481
+0 0 2 0 0 43 48 64 0.47334295440176
+0 0 2 0 0 44 48 64 0.426199910483233
+0 0 2 0 0 45 48 64 0.374387331157387
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -0.196827067972686
+0 0 1 0 0 20 48 64 -0.0665789627081124
+0 0 1 0 0 22 48 64 0.0665789627081145
+0 0 1 0 0 24 48 64 0.196827067972688
+0 0 1 0 0 26 48 64 0.318472885885794
+0 0 1 0 0 28 48 64 0.426199910483233
+0 0 1 0 0 30 48 64 0.515299953858481
+0 0 1 0 0 32 48 64 0.581878916566594
+0 0 1 0 0 34 48 64 0.62302697845592
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 38 48 64 0.62302697845592
+0 0 1 0 0 40 48 64 0.581878916566594
+0 0 1 0 0 42 48 64 0.515299953858481
+0 0 1 0 0 44 48 64 0.426199910483233
+0 0 1 0 0 46 48 64 0.318472885885794
+0 0 1 0 0 48 48 64 0.196827067972688
+0 0 1 0 0 50 48 64 0.0665789627081145
+0 0 1 0 0 52 48 64 -0.0665789627081126
+0 0 1 0 0 54 48 64 -0.196827067972686
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.515299953858482
+0 0 0 0 0 4 48 64 -0.62302697845592
+0 0 0 0 0 8 48 64 -0.62302697845592
+0 0 0 0 0 12 48 64 -0.51529995385848
+0 0 0 0 0 16 48 64 -0.318472885885792
+0 0 0 0 0 20 48 64 -0.0665789627081124
+0 0 0 0 0 24 48 64 0.196827067972688
+0 0 0 0 0 28 48 64 0.426199910483233
+0 0 0 0 0 32 48 64 0.581878916566594
+0 0 0 0 0 36 48 64 0.636945771771587
+0 0 0 0 0 40 48 64 0.581878916566594
+0 0 0 0 0 44 48 64 0.426199910483233
+0 0 0 0 0 48 48 64 0.196827067972688
+0 0 0 0 0 52 48 64 -0.0665789627081126
+0 0 0 0 0 56 48 64 -0.318472885885792
+0 0 0 0 0 60 48 64 -0.51529995385848
+0 0 0 0 0 64 48 64 -0.62302697845592
+0 0 0 0 0 68 48 64 -0.62302697845592
+0 0 0 0 0 72 48 64 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.415209098701788
+1 0 2 0 0 28 48 64 0.463442390111039
+1 0 2 0 0 29 48 64 0.507031761119497
+1 0 2 0 0 30 48 64 0.544285038367555
+1 0 2 0 0 31 48 64 0.575886011726491
+1 0 2 0 0 32 48 64 0.601177457429056
+1 0 2 0 0 33 48 64 0.619882277103558
+1 0 2 0 0 34 48 64 0.631795536831408
+1 0 2 0 0 35 48 64 0.636786712446016
+1 0 2 0 0 36 48 64 0.63480111958288
+1 0 2 0 0 37 48 64 0.625860512812919
+1 0 2 0 0 38 48 64 0.610062847294848
+1 0 2 0 0 39 48 64 0.587581205557956
+1 0 2 0 0 40 48 64 0.558661901173699
+1 0 2 0 0 41 48 64 0.523621780092664
+1 0 2 0 0 42 48 64 0.482844749214032
+1 0 2 0 0 43 48 64 0.436533800510173
+1 0 2 0 0 44 48 64 0.386133747478479
+1 0 2 0 0 45 48 64 0.331051619143378
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.453478940794559
+2 0 2 0 0 28 48 64 0.497773510679683
+2 0 2 0 0 29 48 64 0.537331444849148
+2 0 2 0 0 30 48 64 0.569543939890536
+2 0 2 0 0 31 48 64 0.596286120524326
+2 0 2 0 0 32 48 64 0.616420941848547
+2 0 2 0 0 33 48 64 0.62981184499232
+2 0 2 0 0 34 48 64 0.636302397765754
+2 0 2 0 0 35 48 64 0.63582148831443
+2 0 2 0 0 36 48 64 0.628374385582933
+2 0 2 0 0 37 48 64 0.614042681587195
+2 0 2 0 0 38 48 64 0.592983397475296
+2 0 2 0 0 39 48 64 0.565427263170904
+2 0 2 0 0 40 48 64 0.53167618944795
+2 0 2 0 0 41 48 64 0.492092342329538
+2 0 2 0 0 42 48 64 0.447100384207639
+2 0 2 0 0 43 48 64 0.396846093729799
+2 0 2 0 0 44 48 64 0.343265013492209
+2 0 2 0 0 45 48 64 0.285282407381633
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -0.0973195350500494
+2 0 1 0 0 20 48 64 0.0356668155049764
+2 0 1 0 0 22 48 64 0.169271369771323
+2 0 1 0 0 24 48 64 0.293071522772708
+2 0 1 0 0 26 48 64 0.404256490972886
+2 0 1 0 0 28 48 64 0.497773510679683
+2 0 1 0 0 30 48 64 0.569543939890536
+2 0 1 0 0 32 48 64 0.616420941848547
+2 0 1 0 0 34 48 64 0.636302397765754
+2 0 1 0 0 36 48 64 0.628374385582933
+2 0 1 0 0 38 48 64 0.592983397475296
+2 0 1 0 0 40 48 64 0.53167618944795
+2 0 1 0 0 42 48 64 0.447100384207639
+2 0 1 0 0 44 48 64 0.343265013492209
+2 0 1 0 0 46 48 64 0.22419968498093
+2 0 1 0 0 48 48 64 0.0953357544065354
+2 0 1 0 0 50 48 64 -0.0371738401891932
+2 0 1 0 0 52 48 64 -0.167163605655932
+2 0 1 0 0 54 48 64 -0.291147369612687
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.488475431137181
+3 0 2 0 0 28 48 64 0.528551497962156
+3 0 2 0 0 29 48 64 0.56401022967574
+3 0 2 0 0 30 48 64 0.590911982676096
+3 0 2 0 0 31 48 64 0.612695469953653
+3 0 2 0 0 32 48 64 0.627503201183333
+3 0 2 0 0 33 48 64 0.63549339430043
+3 0 2 0 0 34 48 64 0.636517106211236
+3 0 2 0 0 35 48 64 0.630567307214526
+3 0 2 0 0 36 48 64 0.617708880845281
+3 0 2 0 0 37 48 64 0.598082706713601
+3 0 2 0 0 38 48 64 0.571903813290315
+3 0 2 0 0 39 48 64 0.539458783953694
+3 0 2 0 0 40 48 64 0.501101613626932
+3 0 2 0 0 41 48 64 0.457225289456085
+3 0 2 0 0 42 48 64 0.408317144889896
+3 0 2 0 0 43 48 64 0.354570400036005
+3 0 2 0 0 44 48 64 0.29836488536318
+3 0 2 0 0 45 48 64 0.237890132355784
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.520434500370626
+4 0 2 0 0 28 48 64 0.555990276700794
+4 0 2 0 0 29 48 64 0.586865418231431
+4 0 2 0 0 30 48 64 0.60824536703471
+4 0 2 0 0 31 48 64 0.625018499660168
+4 0 2 0 0 32 48 64 0.634343056557034
+4 0 2 0 0 33 48 64 0.636890776096436
+4 0 2 0 0 34 48 64 0.6324380136995
+4 0 2 0 0 35 48 64 0.6210595786985
+4 0 2 0 0 36 48 64 0.602876514907985
+4 0 2 0 0 37 48 64 0.578088211911727
+4 0 2 0 0 38 48 64 0.546966162393243
+4 0 2 0 0 39 48 64 0.509849505075659
+4 0 2 0 0 40 48 64 0.46714115406134
+4 0 2 0 0 41 48 64 0.41925065825002
+4 0 2 0 0 42 48 64 0.366786151089624
+4 0 2 0 0 43 48 64 0.30999616415485
+4 0 2 0 0 44 48 64 0.25117630414514
+4 0 2 0 0 45 48 64 0.188570587524289
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0.00664574421749244
+4 0 1 0 0 20 48 64 0.139079131940516
+4 0 1 0 0 22 48 64 0.267990694475707
+4 0 1 0 0 24 48 64 0.381367593493265
+4 0 1 0 0 26 48 64 0.479211741412849
+4 0 1 0 0 28 48 64 0.555990276700794
+4 0 1 0 0 30 48 64 0.60824536703471
+4 0 1 0 0 32 48 64 0.634343056557034
+4 0 1 0 0 34 48 64 0.6324380136995
+4 0 1 0 0 36 48 64 0.602876514907985
+4 0 1 0 0 38 48 64 0.546966162393243
+4 0 1 0 0 40 48 64 0.46714115406134
+4 0 1 0 0 42 48 64 0.366786151089624
+4 0 1 0 0 44 48 64 0.25117630414514
+4 0 1 0 0 46 48 64 0.123904363243549
+4 0 1 0 0 48 48 64 -0.00858254917153948
+4 0 1 0 0 50 48 64 -0.139448071603551
+4 0 1 0 0 52 48 64 -0.265429365246958
+4 0 1 0 0 54 48 64 -0.379908726375628
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.608492170320791
+4 0 0 0 0 4 48 64 -0.633457407715208
+4 0 0 0 0 8 48 64 -0.548892104535778
+4 0 0 0 0 12 48 64 -0.369418369953888
+4 0 0 0 0 16 48 64 -0.126068843146438
+4 0 0 0 0 20 48 64 0.139079131940516
+4 0 0 0 0 24 48 64 0.381367593493265
+4 0 0 0 0 28 48 64 0.555990276700794
+4 0 0 0 0 32 48 64 0.634343056557034
+4 0 0 0 0 36 48 64 0.602876514907985
+4 0 0 0 0 40 48 64 0.46714115406134
+4 0 0 0 0 44 48 64 0.25117630414514
+4 0 0 0 0 48 48 64 -0.00858254917153948
+4 0 0 0 0 52 48 64 -0.265429365246958
+4 0 0 0 0 56 48 64 -0.478313108700085
+4 0 0 0 0 60 48 64 -0.608492170320791
+4 0 0 0 0 64 48 64 -0.633457407715208
+4 0 0 0 0 68 48 64 -0.548892104535778
+4 0 0 0 0 72 48 64 -0.369418369953888
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.548686506758381
+5 0 2 0 0 28 48 64 0.579463692406803
+5 0 2 0 0 29 48 64 0.605720399782691
+5 0 2 0 0 30 48 64 0.621447170667601
+5 0 2 0 0 31 48 64 0.633182616389233
+5 0 2 0 0 32 48 64 0.636886147540174
+5 0 2 0 0 33 48 64 0.633999447161221
+5 0 2 0 0 34 48 64 0.624091892734295
+5 0 2 0 0 35 48 64 0.607362537961676
+5 0 2 0 0 36 48 64 0.583977300176662
+5 0 2 0 0 37 48 64 0.554193956030146
+5 0 2 0 0 38 48 64 0.518338229818814
+5 0 2 0 0 39 48 64 0.476796342527192
+5 0 2 0 0 40 48 64 0.43002140669958
+5 0 2 0 0 41 48 64 0.378431999844101
+5 0 2 0 0 42 48 64 0.322799302131819
+5 0 2 0 0 43 48 64 0.263427832280763
+5 0 2 0 0 44 48 64 0.202641291298467
+5 0 2 0 0 45 48 64 0.138363126149247
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.573422837548203
+6 0 2 0 0 28 48 64 0.599180463243114
+6 0 2 0 0 29 48 64 0.620446498163252
+6 0 2 0 0 30 48 64 0.630438162711563
+6 0 2 0 0 31 48 64 0.637130867392252
+6 0 2 0 0 32 48 64 0.635107190001493
+6 0 2 0 0 33 48 64 0.62684660391392
+6 0 2 0 0 34 48 64 0.611533309659952
+6 0 2 0 0 35 48 64 0.589569092195076
+6 0 2 0 0 36 48 64 0.561138616584436
+6 0 2 0 0 37 48 64 0.526560765894301
+6 0 2 0 0 38 48 64 0.486212242678149
+6 0 2 0 0 39 48 64 0.440518864230281
+6 0 2 0 0 40 48 64 0.389992767818748
+6 0 2 0 0 41 48 64 0.335056520735826
+6 0 2 0 0 42 48 64 0.276683325782886
+6 0 2 0 0 43 48 64 0.215175082359304
+6 0 2 0 0 44 48 64 0.152445839669701
+6 0 2 0 0 45 48 64 0.0868769139013946
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.108210058799784
+6 0 1 0 0 20 48 64 0.236717959365883
+6 0 1 0 0 22 48 64 0.3600123823013
+6 0 1 0 0 24 48 64 0.459313830815673
+6 0 1 0 0 26 48 64 0.541367828724082
+6 0 1 0 0 28 48 64 0.599180463243114
+6 0 1 0 0 30 48 64 0.630438162711563
+6 0 1 0 0 32 48 64 0.635107190001493
+6 0 1 0 0 34 48 64 0.611533309659952
+6 0 1 0 0 36 48 64 0.561138616584436
+6 0 1 0 0 38 48 64 0.486212242678149
+6 0 1 0 0 40 48 64 0.389992767818748
+6 0 1 0 0 42 48 64 0.276683325782886
+6 0 1 0 0 44 48 64 0.152445839669701
+6 0 1 0 0 46 48 64 0.0203325370825568
+6 0 1 0 0 48 48 64 -0.112120882211486
+6 0 1 0 0 50 48 64 -0.237591179625909
+6 0 1 0 0 52 48 64 -0.354405853631302
+6 0 1 0 0 54 48 64 -0.456529014462486
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.594154195646264
+7 0 2 0 0 28 48 64 0.614677675028154
+7 0 2 0 0 29 48 64 0.63093920983079
+7 0 2 0 0 30 48 64 0.635177474641797
+7 0 2 0 0 31 48 64 0.636827627983999
+7 0 2 0 0 32 48 64 0.629012254088869
+7 0 2 0 0 33 48 64 0.615489951204166
+7 0 2 0 0 34 48 64 0.594843913206988
+7 0 2 0 0 35 48 64 0.567800593952105
+7 0 2 0 0 36 48 64 0.534514205498578
+7 0 2 0 0 37 48 64 0.495374292680557
+7 0 2 0 0 38 48 64 0.450803661538569
+7 0 2 0 0 39 48 64 0.401259008387553
+7 0 2 0 0 40 48 64 0.347329017218279
+7 0 2 0 0 41 48 64 0.289438782518521
+7 0 2 0 0 42 48 64 0.228754807211214
+7 0 2 0 0 43 48 64 0.165551820417876
+7 0 2 0 0 44 48 64 0.101577702436304
+7 0 2 0 0 45 48 64 0.0352004202873024
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.610996800836489
+8 0 2 0 0 28 48 64 0.626109632489114
+8 0 2 0 0 29 48 64 0.63714332142111
+8 0 2 0 0 30 48 64 0.635639981337724
+8 0 2 0 0 31 48 64 0.632256118313554
+8 0 2 0 0 32 48 64 0.618640243284
+8 0 2 0 0 33 48 64 0.600015551552471
+8 0 2 0 0 34 48 64 0.574131846907294
+8 0 2 0 0 35 48 64 0.542206418816047
+8 0 2 0 0 36 48 64 0.504282895512788
+8 0 2 0 0 37 48 64 0.460843732862034
+8 0 2 0 0 38 48 64 0.412350078110963
+8 0 2 0 0 39 48 64 0.359281206261346
+8 0 2 0 0 40 48 64 0.302325998136408
+8 0 2 0 0 41 48 64 0.241906821171052
+8 0 2 0 0 42 48 64 0.179356720474397
+8 0 2 0 0 43 48 64 0.114877276798828
+8 0 2 0 0 44 48 64 0.0497076285391217
+8 0 2 0 0 45 48 64 -0.0170725308716397
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.20985486502644
+8 0 1 0 0 20 48 64 0.330896640191952
+8 0 1 0 0 22 48 64 0.442672366425865
+8 0 1 0 0 24 48 64 0.524673947428263
+8 0 1 0 0 26 48 64 0.589078941048663
+8 0 1 0 0 28 48 64 0.626109632489114
+8 0 1 0 0 30 48 64 0.635639981337724
+8 0 1 0 0 32 48 64 0.618640243284
+8 0 1 0 0 34 48 64 0.574131846907294
+8 0 1 0 0 36 48 64 0.504282895512788
+8 0 1 0 0 38 48 64 0.412350078110963
+8 0 1 0 0 40 48 64 0.302325998136408
+8 0 1 0 0 42 48 64 0.179356720474397
+8 0 1 0 0 44 48 64 0.0497076285391217
+8 0 1 0 0 46 48 64 -0.0836918070834078
+8 0 1 0 0 48 48 64 -0.212367107318281
+8 0 1 0 0 50 48 64 -0.329111704809241
+8 0 1 0 0 52 48 64 -0.436416533425594
+8 0 1 0 0 54 48 64 -0.523397131801485
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -0.638086200378305
+8 0 0 0 0 4 48 64 -0.57748024821656
+8 0 0 0 0 8 48 64 -0.417022714894814
+8 0 0 0 0 12 48 64 -0.184458165635327
+8 0 0 0 0 16 48 64 0.0800380178333529
+8 0 0 0 0 20 48 64 0.330896640191952
+8 0 0 0 0 24 48 64 0.524673947428263
+8 0 0 0 0 28 48 64 0.626109632489114
+8 0 0 0 0 32 48 64 0.618640243284
+8 0 0 0 0 36 48 64 0.504282895512788
+8 0 0 0 0 40 48 64 0.302325998136408
+8 0 0 0 0 44 48 64 0.0497076285391217
+8 0 0 0 0 48 48 64 -0.212367107318281
+8 0 0 0 0 52 48 64 -0.436416533425594
+8 0 0 0 0 56 48 64 -0.588421629037836
+8 0 0 0 0 60 48 64 -0.638086200378305
+8 0 0 0 0 64 48 64 -0.57748024821656
+8 0 0 0 0 68 48 64 -0.417022714894814
+8 0 0 0 0 72 48 64 -0.184458165635327
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.62364387953835
+9 0 2 0 0 28 48 64 0.633195382228976
+9 0 2 0 0 29 48 64 0.639025467998563
+9 0 2 0 0 30 48 64 0.63183082327273
+9 0 2 0 0 31 48 64 0.623426075194888
+9 0 2 0 0 32 48 64 0.604063470489263
+9 0 2 0 0 33 48 64 0.580534902401887
+9 0 2 0 0 34 48 64 0.549531363045302
+9 0 2 0 0 35 48 64 0.512963172831788
+9 0 2 0 0 36 48 64 0.470647115210927
+9 0 2 0 0 37 48 64 0.423200663520515
+9 0 2 0 0 38 48 64 0.371110246532723
+9 0 2 0 0 39 48 64 0.314871961422551
+9 0 2 0 0 40 48 64 0.255299102049644
+9 0 2 0 0 41 48 64 0.192804340017126
+9 0 2 0 0 42 48 64 0.128813391830755
+9 0 2 0 0 43 48 64 0.0634730293136266
+9 0 2 0 0 44 48 64 -0.00215037860468994
+9 0 2 0 0 45 48 64 -0.0688302673926655
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.632152079513381
+10 0 2 0 0 28 48 64 0.63602857538008
+10 0 2 0 0 29 48 64 0.636597125522463
+10 0 2 0 0 30 48 64 0.623772178708004
+10 0 2 0 0 31 48 64 0.610374669884799
+10 0 2 0 0 32 48 64 0.585386784084873
+10 0 2 0 0 33 48 64 0.557182026404185
+10 0 2 0 0 34 48 64 0.521202660393054
+10 0 2 0 0 35 48 64 0.480273369405516
+10 0 2 0 0 36 48 64 0.433831303041527
+10 0 2 0 0 37 48 64 0.382698091138149
+10 0 2 0 0 38 48 64 0.327363087100221
+10 0 2 0 0 39 48 64 0.268338948070378
+10 0 2 0 0 40 48 64 0.206579724390037
+10 0 2 0 0 41 48 64 0.142475968616333
+10 0 2 0 0 42 48 64 0.0774703479636887
+10 0 2 0 0 43 48 64 0.0116685379972373
+10 0 2 0 0 44 48 64 -0.0543343201341828
+10 0 2 0 0 45 48 64 -0.120473915806961
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.30336785861772
+10 0 1 0 0 20 48 64 0.413778146486712
+10 0 1 0 0 22 48 64 0.513544759174267
+10 0 1 0 0 24 48 64 0.575751422339111
+10 0 1 0 0 26 48 64 0.62111653907505
+10 0 1 0 0 28 48 64 0.63602857538008
+10 0 1 0 0 30 48 64 0.623772178708004
+10 0 1 0 0 32 48 64 0.585386784084873
+10 0 1 0 0 34 48 64 0.521202660393054
+10 0 1 0 0 36 48 64 0.433831303041527
+10 0 1 0 0 38 48 64 0.327363087100221
+10 0 1 0 0 40 48 64 0.206579724390037
+10 0 1 0 0 42 48 64 0.0774703479636887
+10 0 1 0 0 44 48 64 -0.0543343201341828
+10 0 1 0 0 46 48 64 -0.185290255741073
+10 0 1 0 0 48 48 64 -0.306686678659708
+10 0 1 0 0 50 48 64 -0.41178727631377
+10 0 1 0 0 52 48 64 -0.504881223259613
+10 0 1 0 0 54 48 64 -0.574672119963842
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0.636374286550646
+11 0 2 0 0 28 48 64 0.634510981108849
+11 0 2 0 0 29 48 64 0.629886501255216
+11 0 2 0 0 30 48 64 0.611512362118719
+11 0 2 0 0 31 48 64 0.593173046494493
+11 0 2 0 0 32 48 64 0.562745613680561
+11 0 2 0 0 33 48 64 0.530111000349898
+11 0 2 0 0 34 48 64 0.489331804612862
+11 0 2 0 0 35 48 64 0.444363491529422
+11 0 2 0 0 36 48 64 0.394080357695485
+11 0 2 0 0 37 48 64 0.339609705596599
+11 0 2 0 0 38 48 64 0.281406509528054
+11 0 2 0 0 39 48 64 0.220008786956906
+11 0 2 0 0 40 48 64 0.156510820155268
+11 0 2 0 0 41 48 64 0.0912710311738245
+11 0 2 0 0 42 48 64 0.0256508186909056
+11 0 2 0 0 43 48 64 -0.0402047494937049
+11 0 2 0 0 44 48 64 -0.105814765113838
+11 0 2 0 0 45 48 64 -0.170922666701598
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0.636324944526299
+12 0 2 0 0 28 48 64 0.628675343026474
+12 0 2 0 0 29 48 64 0.618960360684131
+12 0 2 0 0 30 48 64 0.595122249123747
+12 0 2 0 0 31 48 64 0.571927180083293
+12 0 2 0 0 32 48 64 0.536302930786077
+12 0 2 0 0 33 48 64 0.499494526516962
+12 0 2 0 0 34 48 64 0.454130538797766
+12 0 2 0 0 35 48 64 0.405481488220927
+12 0 2 0 0 36 48 64 0.351658267237628
+12 0 2 0 0 37 48 64 0.294229197326839
+12 0 2 0 0 38 48 64 0.233555787006129
+12 0 2 0 0 39 48 64 0.170223930310464
+12 0 2 0 0 40 48 64 0.105442160421705
+12 0 2 0 0 41 48 64 0.039531201328439
+12 0 2 0 0 42 48 64 -0.026301479926341
+12 0 2 0 0 43 48 64 -0.0918056487809362
+12 0 2 0 0 44 48 64 -0.156934857188829
+12 0 2 0 0 45 48 64 -0.220552488432741
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.391396925751387
+12 0 1 0 0 20 48 64 0.487974820894167
+12 0 1 0 0 22 48 64 0.570631800016311
+12 0 1 0 0 24 48 64 0.611104769043014
+12 0 1 0 0 26 48 64 0.6366240759287
+12 0 1 0 0 28 48 64 0.628675343026474
+12 0 1 0 0 30 48 64 0.595122249123747
+12 0 1 0 0 32 48 64 0.536302930786077
+12 0 1 0 0 34 48 64 0.454130538797766
+12 0 1 0 0 36 48 64 0.351658267237628
+12 0 1 0 0 38 48 64 0.233555787006129
+12 0 1 0 0 40 48 64 0.105442160421705
+12 0 1 0 0 42 48 64 -0.026301479926341
+12 0 1 0 0 44 48 64 -0.156934857188829
+12 0 1 0 0 46 48 64 -0.281685036436353
+12 0 1 0 0 48 48 64 -0.392526319849238
+12 0 1 0 0 50 48 64 -0.483509581282904
+12 0 1 0 0 52 48 64 -0.561993316923433
+12 0 1 0 0 54 48 64 -0.612418707803274
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -0.600768398793927
+12 0 0 0 0 4 48 64 -0.460811012388645
+12 0 0 0 0 8 48 64 -0.241137210479794
+12 0 0 0 0 12 48 64 0.0202454540744
+12 0 0 0 0 16 48 64 0.278224107838708
+12 0 0 0 0 20 48 64 0.487974820894167
+12 0 0 0 0 24 48 64 0.611104769043014
+12 0 0 0 0 28 48 64 0.628675343026474
+12 0 0 0 0 32 48 64 0.536302930786077
+12 0 0 0 0 36 48 64 0.351658267237628
+12 0 0 0 0 40 48 64 0.105442160421705
+12 0 0 0 0 44 48 64 -0.156934857188829
+12 0 0 0 0 48 48 64 -0.392526319849238
+12 0 0 0 0 52 48 64 -0.561993316923433
+12 0 0 0 0 56 48 64 -0.637141484623479
+12 0 0 0 0 60 48 64 -0.600768398793927
+12 0 0 0 0 64 48 64 -0.460811012388645
+12 0 0 0 0 68 48 64 -0.241137210479794
+12 0 0 0 0 72 48 64 0.0202454540744
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0.632010077454931
+13 0 2 0 0 28 48 64 0.618595039651473
+13 0 2 0 0 29 48 64 0.603898187142523
+13 0 2 0 0 30 48 64 0.574698276565232
+13 0 2 0 0 31 48 64 0.546779898569795
+13 0 2 0 0 32 48 64 0.506245901884982
+13 0 2 0 0 33 48 64 0.46552369214518
+13 0 2 0 0 34 48 64 0.415835726145361
+13 0 2 0 0 35 48 64 0.363893898140501
+13 0 2 0 0 36 48 64 0.306846999516293
+13 0 2 0 0 37 48 64 0.246869370974485
+13 0 2 0 0 38 48 64 0.184141342645286
+13 0 2 0 0 39 48 64 0.119338292191821
+13 0 2 0 0 40 48 64 0.0537256660721423
+13 0 2 0 0 41 48 64 -0.0124021770236127
+13 0 2 0 0 42 48 64 -0.0780646959265949
+13 0 2 0 0 43 48 64 -0.142793802789504
+13 0 2 0 0 44 48 64 -0.206662511365369
+13 0 2 0 0 45 48 64 -0.268319342742164
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0.623401371431278
+14 0 2 0 0 28 48 64 0.604245611477673
+14 0 2 0 0 29 48 64 0.584813870278042
+14 0 2 0 0 30 48 64 0.550366429037226
+14 0 2 0 0 31 48 64 0.517909330179937
+14 0 2 0 0 32 48 64 0.472782517682753
+14 0 2 0 0 33 48 64 0.428408878498691
+14 0 2 0 0 34 48 64 0.374708220847661
+14 0 2 0 0 35 48 64 0.319882913562155
+14 0 2 0 0 36 48 64 0.259945639810918
+14 0 2 0 0 37 48 64 0.197860722301568
+14 0 2 0 0 38 48 64 0.133505822766152
+14 0 2 0 0 39 48 64 0.0677125511877773
+14 0 2 0 0 40 48 64 0.00171148802469069
+14 0 2 0 0 41 48 64 -0.0641971045540408
+14 0 2 0 0 42 48 64 -0.129295218791797
+14 0 2 0 0 43 48 64 -0.192820843948804
+14 0 2 0 0 44 48 64 -0.255341755974721
+14 0 2 0 0 45 48 64 -0.31457860970983
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.466774302531391
+14 0 1 0 0 20 48 64 0.546970017442211
+14 0 1 0 0 22 48 64 0.612208958514015
+14 0 1 0 0 24 48 64 0.629886344943028
+14 0 1 0 0 26 48 64 0.635195272095683
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+14 0 1 0 0 30 48 64 0.550366429037226
+14 0 1 0 0 32 48 64 0.472782517682753
+14 0 1 0 0 34 48 64 0.374708220847661
+14 0 1 0 0 36 48 64 0.259945639810918
+14 0 1 0 0 38 48 64 0.133505822766152
+14 0 1 0 0 40 48 64 0.00171148802469069
+14 0 1 0 0 42 48 64 -0.129295218791797
+14 0 1 0 0 44 48 64 -0.255341755974721
+14 0 1 0 0 46 48 64 -0.37023673627477
+14 0 1 0 0 48 48 64 -0.467730752217817
+14 0 1 0 0 50 48 64 -0.54260518474101
+14 0 1 0 0 52 48 64 -0.602991317616119
+14 0 1 0 0 54 48 64 -0.633087948771736
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0.610652050833014
+15 0 2 0 0 28 48 64 0.585859431894837
+15 0 2 0 0 29 48 64 0.561833518679241
+15 0 2 0 0 30 48 64 0.522277626070751
+15 0 2 0 0 31 48 64 0.485525489719229
+15 0 2 0 0 32 48 64 0.436138923534539
+15 0 2 0 0 33 48 64 0.388381451556427
+15 0 2 0 0 34 48 64 0.331031041806566
+15 0 2 0 0 35 48 64 0.273743743762132
+15 0 2 0 0 36 48 64 0.211269641245549
+15 0 2 0 0 37 48 64 0.147549161007142
+15 0 2 0 0 38 48 64 0.0820005669589072
+15 0 2 0 0 39 48 64 0.0157091126424057
+15 0 2 0 0 40 48 64 -0.0502549908832164
+15 0 2 0 0 41 48 64 -0.115521027649002
+15 0 2 0 0 42 48 64 -0.179670222654115
+15 0 2 0 0 43 48 64 -0.241546483858453
+15 0 2 0 0 44 48 64 -0.301962232207357
+15 0 2 0 0 45 48 64 -0.358360747329471
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0.593679983124497
+16 0 2 0 0 28 48 64 0.563359043106377
+16 0 2 0 0 29 48 64 0.535116828347324
+16 0 2 0 0 30 48 64 0.490616796646616
+16 0 2 0 0 31 48 64 0.449866986271758
+16 0 2 0 0 32 48 64 0.396557533136505
+16 0 2 0 0 33 48 64 0.345695608829203
+16 0 2 0 0 34 48 64 0.285106857117024
+16 0 2 0 0 35 48 64 0.225782593515193
+16 0 2 0 0 36 48 64 0.161149945420153
+16 0 2 0 0 37 48 64 0.0962926759536991
+16 0 2 0 0 38 48 64 0.0299816390777281
+16 0 2 0 0 39 48 64 -0.0363122359411705
+16 0 2 0 0 40 48 64 -0.1018349077744
+16 0 2 0 0 41 48 64 -0.166048372853894
+16 0 2 0 0 42 48 64 -0.228846202057964
+16 0 2 0 0 43 48 64 -0.288627850028269
+16 0 2 0 0 44 48 64 -0.34686072633312
+16 0 2 0 0 45 48 64 -0.399996753033512
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.531638876074628
+16 0 1 0 0 20 48 64 0.59293595145488
+16 0 1 0 0 22 48 64 0.637152972171547
+16 0 1 0 0 24 48 64 0.631578578547155
+16 0 1 0 0 26 48 64 0.616811926320397
+16 0 1 0 0 28 48 64 0.563359043106377
+16 0 1 0 0 30 48 64 0.490616796646616
+16 0 1 0 0 32 48 64 0.396557533136505
+16 0 1 0 0 34 48 64 0.285106857117024
+16 0 1 0 0 36 48 64 0.161149945420153
+16 0 1 0 0 38 48 64 0.0299816390777281
+16 0 1 0 0 40 48 64 -0.1018349077744
+16 0 1 0 0 42 48 64 -0.228846202057964
+16 0 1 0 0 44 48 64 -0.34686072633312
+16 0 1 0 0 46 48 64 -0.448590826956242
+16 0 1 0 0 48 48 64 -0.530387210762682
+16 0 1 0 0 50 48 64 -0.587549879878981
+16 0 1 0 0 52 48 64 -0.629462390937985
+16 0 1 0 0 54 48 64 -0.637809096366296
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -0.500259662214564
+16 0 0 0 0 4 48 64 -0.295572052456995
+16 0 0 0 0 8 48 64 -0.0396132748656795
+16 0 0 0 0 12 48 64 0.223203594768137
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+16 0 0 0 0 20 48 64 0.59293595145488
+16 0 0 0 0 24 48 64 0.631578578547155
+16 0 0 0 0 28 48 64 0.563359043106377
+16 0 0 0 0 32 48 64 0.396557533136505
+16 0 0 0 0 36 48 64 0.161149945420153
+16 0 0 0 0 40 48 64 -0.1018349077744
+16 0 0 0 0 44 48 64 -0.34686072633312
+16 0 0 0 0 48 48 64 -0.530387210762682
+16 0 0 0 0 52 48 64 -0.629462390937985
+16 0 0 0 0 56 48 64 -0.619123738384079
+16 0 0 0 0 60 48 64 -0.500259662214564
+16 0 0 0 0 64 48 64 -0.295572052456995
+16 0 0 0 0 68 48 64 -0.0396132748656795
+16 0 0 0 0 72 48 64 0.223203594768137
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0.57280876980627
+17 0 2 0 0 28 48 64 0.537130678541673
+17 0 2 0 0 29 48 64 0.504837679738059
+17 0 2 0 0 30 48 64 0.455589695853013
+17 0 2 0 0 31 48 64 0.411194252368365
+17 0 2 0 0 32 48 64 0.354296179130201
+17 0 2 0 0 33 48 64 0.300629827436657
+17 0 2 0 0 34 48 64 0.23725491712634
+17 0 2 0 0 35 48 64 0.176315433342237
+17 0 2 0 0 36 48 64 0.109931662990679
+17 0 2 0 0 37 48 64 0.0444569241207062
+17 0 2 0 0 38 48 64 -0.022194215063768
+17 0 2 0 0 39 48 64 -0.08799812161367
+17 0 2 0 0 40 48 64 -0.152696746727093
+17 0 2 0 0 41 48 64 -0.215451016068538
+17 0 2 0 0 42 48 64 -0.276502067393265
+17 0 2 0 0 43 48 64 -0.333740674948586
+17 0 2 0 0 44 48 64 -0.389088159343108
+17 0 2 0 0 45 48 64 -0.438605425891383
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0.547878700322903
+18 0 2 0 0 28 48 64 0.507045593724263
+18 0 2 0 0 29 48 64 0.471203699676383
+18 0 2 0 0 30 48 64 0.417436275059436
+18 0 2 0 0 31 48 64 0.369787330365473
+18 0 2 0 0 32 48 64 0.309627941754117
+18 0 2 0 0 33 48 64 0.253487212219433
+18 0 2 0 0 34 48 64 0.18780765847886
+18 0 2 0 0 35 48 64 0.125667538508018
+18 0 2 0 0 36 48 64 0.0579720073070356
+18 0 2 0 0 37 48 64 -0.00759005080479268
+18 0 2 0 0 38 48 64 -0.0741733685673566
+18 0 2 0 0 39 48 64 -0.139004157148443
+18 0 2 0 0 40 48 64 -0.202516308954455
+18 0 2 0 0 41 48 64 -0.263406741170151
+18 0 2 0 0 42 48 64 -0.322302305040265
+18 0 2 0 0 43 48 64 -0.376564946462355
+18 0 2 0 0 44 48 64 -0.428960890906954
+18 0 2 0 0 45 48 64 -0.474493574429816
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.580642612839312
+18 0 1 0 0 20 48 64 0.621484669932099
+18 0 1 0 0 22 48 64 0.644663227554631
+18 0 1 0 0 24 48 64 0.616231375997801
+18 0 1 0 0 26 48 64 0.581896739484881
+18 0 1 0 0 28 48 64 0.507045593724263
+18 0 1 0 0 30 48 64 0.417436275059436
+18 0 1 0 0 32 48 64 0.309627941754117
+18 0 1 0 0 34 48 64 0.18780765847886
+18 0 1 0 0 36 48 64 0.0579720073070356
+18 0 1 0 0 38 48 64 -0.0741733685673566
+18 0 1 0 0 40 48 64 -0.202516308954455
+18 0 1 0 0 42 48 64 -0.322302305040265
+18 0 1 0 0 44 48 64 -0.428960890906954
+18 0 1 0 0 46 48 64 -0.514712829470309
+18 0 1 0 0 48 48 64 -0.579018909287172
+18 0 1 0 0 50 48 64 -0.617324064415187
+18 0 1 0 0 52 48 64 -0.638839998040339
+18 0 1 0 0 54 48 64 -0.625692177049446
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0.519399841480367
+19 0 2 0 0 28 48 64 0.473643829538867
+19 0 2 0 0 29 48 64 0.434438285569518
+19 0 2 0 0 30 48 64 0.376409349641492
+19 0 2 0 0 31 48 64 0.32593868682846
+19 0 2 0 0 32 48 64 0.262841460771339
+19 0 2 0 0 33 48 64 0.204594547637326
+19 0 2 0 0 34 48 64 0.137107254663402
+19 0 2 0 0 35 48 64 0.074173553104729
+19 0 2 0 0 36 48 64 0.00563725261128618
+19 0 2 0 0 37 48 64 -0.0594835572367437
+19 0 2 0 0 38 48 64 -0.125608503350086
+19 0 2 0 0 39 48 64 -0.18899680237659
+19 0 2 0 0 40 48 64 -0.250976495279037
+19 0 2 0 0 41 48 64 -0.309592303793746
+19 0 2 0 0 42 48 64 -0.365938770211918
+19 0 2 0 0 43 48 64 -0.416809419991196
+19 0 2 0 0 44 48 64 -0.46563569906987
+19 0 2 0 0 45 48 64 -0.506909215123702
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0.487117561920495
+20 0 2 0 0 28 48 64 0.436745372357245
+20 0 2 0 0 29 48 64 0.394796369153486
+20 0 2 0 0 30 48 64 0.332793264028232
+20 0 2 0 0 31 48 64 0.279954359482625
+20 0 2 0 0 32 48 64 0.214241148858735
+20 0 2 0 0 33 48 64 0.154299714900351
+20 0 2 0 0 34 48 64 0.0855023397672424
+20 0 2 0 0 35 48 64 0.0221776519975054
+20 0 2 0 0 36 48 64 -0.0467013601747625
+20 0 2 0 0 37 48 64 -0.110867880585332
+20 0 2 0 0 38 48 64 -0.176161013051275
+20 0 2 0 0 39 48 64 -0.237654203210091
+20 0 2 0 0 40 48 64 -0.297767017103527
+20 0 2 0 0 41 48 64 -0.35369342141193
+20 0 2 0 0 42 48 64 -0.407099375228689
+20 0 2 0 0 43 48 64 -0.45419258045396
+20 0 2 0 0 44 48 64 -0.499393657816785
+20 0 2 0 0 45 48 64 -0.536119926837706
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.615258994675805
+20 0 1 0 0 20 48 64 0.634078823873893
+20 0 1 0 0 22 48 64 0.634622619715491
+20 0 1 0 0 24 48 64 0.584254397550866
+20 0 1 0 0 26 48 64 0.531259229203141
+20 0 1 0 0 28 48 64 0.436745372357245
+20 0 1 0 0 30 48 64 0.332793264028232
+20 0 1 0 0 32 48 64 0.214241148858735
+20 0 1 0 0 34 48 64 0.0855023397672424
+20 0 1 0 0 36 48 64 -0.0467013601747625
+20 0 1 0 0 38 48 64 -0.176161013051275
+20 0 1 0 0 40 48 64 -0.297767017103527
+20 0 1 0 0 42 48 64 -0.407099375228689
+20 0 1 0 0 44 48 64 -0.499393657816785
+20 0 1 0 0 46 48 64 -0.566978190577507
+20 0 1 0 0 48 48 64 -0.612480737340643
+20 0 1 0 0 50 48 64 -0.631087706658271
+20 0 1 0 0 52 48 64 -0.631979651872747
+20 0 1 0 0 54 48 64 -0.596828071085002
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -0.346990423109404
+20 0 0 0 0 4 48 64 -0.0990291511949936
+20 0 0 0 0 8 48 64 0.166426312108815
+20 0 0 0 0 12 48 64 0.402977776273659
+20 0 0 0 0 16 48 64 0.569682024116209
+20 0 0 0 0 20 48 64 0.634078823873893
+20 0 0 0 0 24 48 64 0.584254397550866
+20 0 0 0 0 28 48 64 0.436745372357245
+20 0 0 0 0 32 48 64 0.214241148858735
+20 0 0 0 0 36 48 64 -0.0467013601747625
+20 0 0 0 0 40 48 64 -0.297767017103527
+20 0 0 0 0 44 48 64 -0.499393657816785
+20 0 0 0 0 48 48 64 -0.612480737340643
+20 0 0 0 0 52 48 64 -0.631979651872747
+20 0 0 0 0 56 48 64 -0.535916682093567
+20 0 0 0 0 60 48 64 -0.346990423109404
+20 0 0 0 0 64 48 64 -0.0990291511949936
+20 0 0 0 0 68 48 64 0.166426312108815
+20 0 0 0 0 72 48 64 0.402977776273659
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0.451748518579474
+21 0 2 0 0 28 48 64 0.397042144271505
+21 0 2 0 0 29 48 64 0.352547193513141
+21 0 2 0 0 30 48 64 0.286875807067109
+21 0 2 0 0 31 48 64 0.232147658179273
+21 0 2 0 0 32 48 64 0.164147034903423
+21 0 2 0 0 33 48 64 0.10296785614638
+21 0 2 0 0 34 48 64 0.0333450863995681
+21 0 2 0 0 35 48 64 -0.0299667329883256
+21 0 2 0 0 36 48 64 -0.0986726523738491
+21 0 2 0 0 37 48 64 -0.161401150157179
+21 0 2 0 0 38 48 64 -0.225502496907958
+21 0 2 0 0 39 48 64 -0.284666653125526
+21 0 2 0 0 40 48 64 -0.342584658596902
+21 0 2 0 0 41 48 64 -0.395400616019616
+21 0 2 0 0 42 48 64 -0.445505260085937
+21 0 2 0 0 43 48 64 -0.488468990601671
+21 0 2 0 0 44 48 64 -0.529535139649887
+21 0 2 0 0 45 48 64 -0.561523941538042
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0.41293044190024
+22 0 2 0 0 28 48 64 0.354303504584276
+22 0 2 0 0 29 48 64 0.307985181304401
+22 0 2 0 0 30 48 64 0.23897353569758
+22 0 2 0 0 31 48 64 0.182843662713924
+22 0 2 0 0 32 48 64 0.112893813303211
+22 0 2 0 0 33 48 64 0.0509762900833298
+22 0 2 0 0 34 48 64 -0.0190113200144317
+22 0 2 0 0 35 48 64 -0.0818981519242918
+22 0 2 0 0 36 48 64 -0.149911142137151
+22 0 2 0 0 37 48 64 -0.210758816193874
+22 0 2 0 0 38 48 64 -0.27331545264464
+22 0 2 0 0 39 48 64 -0.329736447042306
+22 0 2 0 0 40 48 64 -0.385133946678812
+22 0 2 0 0 41 48 64 -0.434419719478681
+22 0 2 0 0 42 48 64 -0.480884895870209
+22 0 2 0 0 43 48 64 -0.519406113897492
+22 0 2 0 0 44 48 64 -0.556293353735113
+22 0 2 0 0 45 48 64 -0.583337659334616
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0.632465561016379
+22 0 1 0 0 20 48 64 0.628979026143002
+22 0 1 0 0 22 48 64 0.607227503933747
+22 0 1 0 0 24 48 64 0.536534266260751
+22 0 1 0 0 26 48 64 0.466129493312181
+22 0 1 0 0 28 48 64 0.354303504584276
+22 0 1 0 0 30 48 64 0.23897353569758
+22 0 1 0 0 32 48 64 0.112893813303211
+22 0 1 0 0 34 48 64 -0.0190113200144317
+22 0 1 0 0 36 48 64 -0.149911142137151
+22 0 1 0 0 38 48 64 -0.27331545264464
+22 0 1 0 0 40 48 64 -0.385133946678812
+22 0 1 0 0 42 48 64 -0.480884895870209
+22 0 1 0 0 44 48 64 -0.556293353735113
+22 0 1 0 0 46 48 64 -0.60417367695848
+22 0 1 0 0 48 48 64 -0.630028505523031
+22 0 1 0 0 50 48 64 -0.628544900321218
+22 0 1 0 0 52 48 64 -0.608695333338602
+22 0 1 0 0 54 48 64 -0.553009903623264
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0.371582659093864
+23 0 2 0 0 28 48 64 0.309359633756838
+23 0 2 0 0 29 48 64 0.261414794069652
+23 0 2 0 0 30 48 64 0.189398291838572
+23 0 2 0 0 31 48 64 0.132372924671357
+23 0 2 0 0 32 48 64 0.0608290445831618
+23 0 2 0 0 33 48 64 -0.00129108324319935
+23 0 2 0 0 34 48 64 -0.0712148259370554
+23 0 2 0 0 35 48 64 -0.133249749434109
+23 0 2 0 0 36 48 64 -0.200062770889001
+23 0 2 0 0 37 48 64 -0.258635219368492
+23 0 2 0 0 38 48 64 -0.319293322490498
+23 0 2 0 0 39 48 64 -0.372577676352137
+23 0 2 0 0 40 48 64 -0.425128637191649
+23 0 2 0 0 41 48 64 -0.470469859174163
+23 0 2 0 0 42 48 64 -0.513003755739642
+23 0 2 0 0 43 48 64 -0.546811141937519
+23 0 2 0 0 44 48 64 -0.579133509433772
+23 0 2 0 0 45 48 64 -0.601129209486232
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0.327234146704591
+24 0 2 0 0 28 48 64 0.261933804968766
+24 0 2 0 0 29 48 64 0.213156557324983
+24 0 2 0 0 30 48 64 0.138489305407164
+24 0 2 0 0 31 48 64 0.0810776329660576
+24 0 2 0 0 32 48 64 0.00831040253642024
+24 0 2 0 0 33 48 64 -0.0534498436954148
+24 0 2 0 0 34 48 64 -0.122916418722234
+24 0 2 0 0 35 48 64 -0.183653430536456
+24 0 2 0 0 36 48 64 -0.248790078811333
+24 0 2 0 0 37 48 64 -0.304742945220641
+24 0 2 0 0 38 48 64 -0.36314021329459
+24 0 2 0 0 39 48 64 -0.412915818536878
+24 0 2 0 0 40 48 64 -0.462293674349265
+24 0 2 0 0 41 48 64 -0.503293481249763
+24 0 2 0 0 42 48 64 -0.541643668811888
+24 0 2 0 0 43 48 64 -0.570505382591704
+24 0 2 0 0 44 48 64 -0.598233870292096
+24 0 2 0 0 45 48 64 -0.615053460169217
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0.633019643069239
+24 0 1 0 0 20 48 64 0.606765072451846
+24 0 1 0 0 22 48 64 0.563343513843962
+24 0 1 0 0 24 48 64 0.474322355625836
+24 0 1 0 0 26 48 64 0.388118304456474
+24 0 1 0 0 28 48 64 0.261933804968766
+24 0 1 0 0 30 48 64 0.138489305407164
+24 0 1 0 0 32 48 64 0.00831040253642024
+24 0 1 0 0 34 48 64 -0.122916418722234
+24 0 1 0 0 36 48 64 -0.248790078811333
+24 0 1 0 0 38 48 64 -0.36314021329459
+24 0 1 0 0 40 48 64 -0.462293674349265
+24 0 1 0 0 42 48 64 -0.541643668811888
+24 0 1 0 0 44 48 64 -0.598233870292096
+24 0 1 0 0 46 48 64 -0.625512998220374
+24 0 1 0 0 48 48 64 -0.631296572979177
+24 0 1 0 0 50 48 64 -0.609616072683049
+24 0 1 0 0 52 48 64 -0.569049048803441
+24 0 1 0 0 54 48 64 -0.493381685067051
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -0.157045364880277
+24 0 0 0 0 4 48 64 0.108220298915116
+24 0 0 0 0 8 48 64 0.355308232251184
+24 0 0 0 0 12 48 64 0.540412989478295
+24 0 0 0 0 16 48 64 0.631494341227216
+24 0 0 0 0 20 48 64 0.606765072451846
+24 0 0 0 0 24 48 64 0.474322355625836
+24 0 0 0 0 28 48 64 0.261933804968766
+24 0 0 0 0 32 48 64 0.00831040253642024
+24 0 0 0 0 36 48 64 -0.248790078811333
+24 0 0 0 0 40 48 64 -0.462293674349265
+24 0 0 0 0 44 48 64 -0.598233870292096
+24 0 0 0 0 48 48 64 -0.631296572979177
+24 0 0 0 0 52 48 64 -0.569049048803441
+24 0 0 0 0 56 48 64 -0.395909862016148
+24 0 0 0 0 60 48 64 -0.157045364880277
+24 0 0 0 0 64 48 64 0.108220298915116
+24 0 0 0 0 68 48 64 0.355308232251184
+24 0 0 0 0 72 48 64 0.540412989478295
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.yl
new file mode 100644
index 000000000..ad9c0d698
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.yl
@@ -0,0 +1,1397 @@
+# HYDROTOY::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.50990135853555
+0 0 2 0 0 36 40 64 0.53583288072473
+0 0 2 0 0 36 41 64 0.559033921377622
+0 0 2 0 0 36 42 64 0.579386253309212
+0 0 2 0 0 36 43 64 0.596786165701149
+0 0 2 0 0 36 44 64 0.611144992588301
+0 0 2 0 0 36 45 64 0.622389564680188
+0 0 2 0 0 36 46 64 0.630462582214916
+0 0 2 0 0 36 47 64 0.635322906945629
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 36 49 64 0.635322906945629
+0 0 2 0 0 36 50 64 0.630462582214916
+0 0 2 0 0 36 51 64 0.622389564680188
+0 0 2 0 0 36 52 64 0.611144992588301
+0 0 2 0 0 36 53 64 0.596786165701149
+0 0 2 0 0 36 54 64 0.579386253309212
+0 0 2 0 0 36 55 64 0.559033921377622
+0 0 2 0 0 36 56 64 0.53583288072473
+0 0 2 0 0 36 57 64 0.50990135853555
+0 0 2 0 0 36 58 64 0.48137149590312
+0 0 2 0 0 36 59 64 0.450388674467787
+0 0 2 0 0 36 60 64 0.417110775585686
+0 0 2 0 0 36 61 64 0.381707375801544
+0 0 2 0 0 36 62 64 0.344358882725476
+0 0 2 0 0 36 63 64 0.305255615717156
+0 0 2 0 0 36 64 64 0.264596836061988
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -2.93103742532793e-15
+0 0 1 0 0 36 28 64 0.0906468344985235
+0 0 1 0 0 36 30 64 0.179448360850545
+0 0 1 0 0 36 32 64 0.264596836061988
+0 0 1 0 0 36 34 64 0.344358882725476
+0 0 1 0 0 36 36 64 0.417110775585686
+0 0 1 0 0 36 38 64 0.481371495903121
+0 0 1 0 0 36 40 64 0.53583288072473
+0 0 1 0 0 36 42 64 0.579386253309212
+0 0 1 0 0 36 44 64 0.611144992588301
+0 0 1 0 0 36 46 64 0.630462582214916
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 36 50 64 0.630462582214916
+0 0 1 0 0 36 52 64 0.611144992588301
+0 0 1 0 0 36 54 64 0.579386253309212
+0 0 1 0 0 36 56 64 0.53583288072473
+0 0 1 0 0 36 58 64 0.48137149590312
+0 0 1 0 0 36 60 64 0.417110775585686
+0 0 1 0 0 36 62 64 0.344358882725476
+0 0 1 0 0 36 64 64 0.264596836061988
+0 0 1 0 0 36 66 64 0.179448360850545
+0 0 1 0 0 36 68 64 0.0906468344985234
+0 0 1 0 0 36 70 64 -3.07246779757962e-15
+0 0 1 0 0 36 72 64 -0.0906468344985296
+0 0 1 0 0 36 74 64 -0.17944836085055
+0 0 1 0 0 36 76 64 -0.264596836061994
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.611144992588299
+0 0 0 0 0 36 4 64 -0.636945771771587
+0 0 0 0 0 36 8 64 -0.611144992588303
+0 0 0 0 0 36 12 64 -0.535832880724733
+0 0 0 0 0 36 16 64 -0.417110775585691
+0 0 0 0 0 36 20 64 -0.264596836061994
+0 0 0 0 0 36 24 64 -0.0906468344985295
+0 0 0 0 0 36 28 64 0.0906468344985235
+0 0 0 0 0 36 32 64 0.264596836061988
+0 0 0 0 0 36 36 64 0.417110775585686
+0 0 0 0 0 36 40 64 0.53583288072473
+0 0 0 0 0 36 44 64 0.611144992588301
+0 0 0 0 0 36 48 64 0.636945771771587
+0 0 0 0 0 36 52 64 0.611144992588301
+0 0 0 0 0 36 56 64 0.53583288072473
+0 0 0 0 0 36 60 64 0.417110775585686
+0 0 0 0 0 36 64 64 0.264596836061988
+0 0 0 0 0 36 68 64 0.0906468344985234
+0 0 0 0 0 36 72 64 -0.0906468344985296
+0 0 0 0 0 36 76 64 -0.264596836061994
+0 0 0 0 0 36 80 64 -0.417110775585691
+0 0 0 0 0 36 84 64 -0.535832880724734
+0 0 0 0 0 36 88 64 -0.611144992588303
+0 0 0 0 0 36 92 64 -0.636945771771587
+0 0 0 0 0 36 96 64 -0.611144992588299
+0 0 0 0 0 36 100 64 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.539378137384722
+1 0 2 0 0 36 40 64 0.562179038367364
+1 0 2 0 0 36 41 64 0.582199185263878
+1 0 2 0 0 36 42 64 0.599146755523157
+1 0 2 0 0 36 43 64 0.613041211253013
+1 0 2 0 0 36 44 64 0.62381174949194
+1 0 2 0 0 36 45 64 0.631403486045903
+1 0 2 0 0 36 46 64 0.635777735165602
+1 0 2 0 0 36 47 64 0.636912206680193
+1 0 2 0 0 36 48 64 0.63480111958288
+1 0 2 0 0 36 49 64 0.629455231489608
+1 0 2 0 0 36 50 64 0.620901783820711
+1 0 2 0 0 36 51 64 0.609184362984886
+1 0 2 0 0 36 52 64 0.594362678272839
+1 0 2 0 0 36 53 64 0.576512257592428
+1 0 2 0 0 36 54 64 0.555724062595757
+1 0 2 0 0 36 55 64 0.53210402515945
+1 0 2 0 0 36 56 64 0.505772507580086
+1 0 2 0 0 36 57 64 0.476863689235523
+1 0 2 0 0 36 58 64 0.445524882837553
+1 0 2 0 0 36 59 64 0.411915783760082
+1 0 2 0 0 36 60 64 0.376207656268115
+1 0 2 0 0 36 61 64 0.338582460794316
+1 0 2 0 0 36 62 64 0.299231926710351
+1 0 2 0 0 36 63 64 0.258589850269154
+1 0 2 0 0 36 64 64 0.216406253689122
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.565398002435612
+2 0 2 0 0 36 40 64 0.584893751491865
+2 0 2 0 0 36 41 64 0.60144151536923
+2 0 2 0 0 36 42 64 0.614864671252107
+2 0 2 0 0 36 43 64 0.625161142514521
+2 0 2 0 0 36 44 64 0.632270703059781
+2 0 2 0 0 36 45 64 0.636158357031659
+2 0 2 0 0 36 46 64 0.636804293836645
+2 0 2 0 0 36 47 64 0.634205221928842
+2 0 2 0 0 36 48 64 0.628374385582933
+2 0 2 0 0 36 49 64 0.619341497404389
+2 0 2 0 0 36 50 64 0.607152586920843
+2 0 2 0 0 36 51 64 0.591869766026173
+2 0 2 0 0 36 52 64 0.573570912472522
+2 0 2 0 0 36 53 64 0.552349273023126
+2 0 2 0 0 36 54 64 0.528312988288184
+2 0 2 0 0 36 55 64 0.501584541665097
+2 0 2 0 0 36 56 64 0.472300135191147
+2 0 2 0 0 36 57 64 0.44060899548914
+2 0 2 0 0 36 58 64 0.406672613342738
+2 0 2 0 0 36 59 64 0.370663920776444
+2 0 2 0 0 36 60 64 0.332766409833644
+2 0 2 0 0 36 61 64 0.293175756904635
+2 0 2 0 0 36 62 64 0.252095158941335
+2 0 2 0 0 36 63 64 0.209945081525125
+2 0 2 0 0 36 64 64 0.166508567416923
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.101958040479921
+2 0 1 0 0 36 28 64 0.19045190926366
+2 0 1 0 0 36 30 64 0.276801468550228
+2 0 1 0 0 36 32 64 0.355631693593013
+2 0 1 0 0 36 34 64 0.42722228291136
+2 0 1 0 0 36 36 64 0.490115858556959
+2 0 1 0 0 36 38 64 0.543032088699761
+2 0 1 0 0 36 40 64 0.584893751491865
+2 0 1 0 0 36 42 64 0.614864671252107
+2 0 1 0 0 36 44 64 0.632270703059781
+2 0 1 0 0 36 46 64 0.636804293836645
+2 0 1 0 0 36 48 64 0.628374385582933
+2 0 1 0 0 36 50 64 0.607152586920843
+2 0 1 0 0 36 52 64 0.573570912472522
+2 0 1 0 0 36 54 64 0.528312988288184
+2 0 1 0 0 36 56 64 0.472300135191147
+2 0 1 0 0 36 58 64 0.406672613342738
+2 0 1 0 0 36 60 64 0.332766409833644
+2 0 1 0 0 36 62 64 0.252095158941335
+2 0 1 0 0 36 64 64 0.166508567416923
+2 0 1 0 0 36 66 64 0.0773116620782785
+2 0 1 0 0 36 68 64 -0.0134590857518569
+2 0 1 0 0 36 70 64 -0.103955845408883
+2 0 1 0 0 36 72 64 -0.192336363837286
+2 0 1 0 0 36 74 64 -0.275010333503837
+2 0 1 0 0 36 76 64 -0.354054672129119
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.587462116960227
+3 0 2 0 0 36 40 64 0.603541326410646
+3 0 2 0 0 36 41 64 0.616631672885353
+3 0 2 0 0 36 42 64 0.626432433484778
+3 0 2 0 0 36 43 64 0.633064413651825
+3 0 2 0 0 36 44 64 0.636464696504605
+3 0 2 0 0 36 45 64 0.636622049355199
+3 0 2 0 0 36 46 64 0.633535283643025
+3 0 2 0 0 36 47 64 0.627220167344685
+3 0 2 0 0 36 48 64 0.617708880845281
+3 0 2 0 0 36 49 64 0.605049891480632
+3 0 2 0 0 36 50 64 0.589307706558841
+3 0 2 0 0 36 51 64 0.570562544645838
+3 0 2 0 0 36 52 64 0.548909926789954
+3 0 2 0 0 36 53 64 0.524460189768562
+3 0 2 0 0 36 54 64 0.497337923837139
+3 0 2 0 0 36 55 64 0.467681337845893
+3 0 2 0 0 36 56 64 0.435641554959138
+3 0 2 0 0 36 57 64 0.40138184256629
+3 0 2 0 0 36 58 64 0.365076780308672
+3 0 2 0 0 36 59 64 0.326911450441731
+3 0 2 0 0 36 60 64 0.287080653705414
+3 0 2 0 0 36 61 64 0.245799002149099
+3 0 2 0 0 36 62 64 0.203265136979522
+3 0 2 0 0 36 63 64 0.160052956823864
+3 0 2 0 0 36 64 64 0.11577891465481
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.605737107086903
+4 0 2 0 0 36 40 64 0.618266994352901
+4 0 2 0 0 36 41 64 0.627665055153521
+4 0 2 0 0 36 42 64 0.633771152144637
+4 0 2 0 0 36 43 64 0.63669815557565
+4 0 2 0 0 36 44 64 0.636365165213341
+4 0 2 0 0 36 45 64 0.632791398915848
+4 0 2 0 0 36 46 64 0.625992709893389
+4 0 2 0 0 36 47 64 0.616004120902327
+4 0 2 0 0 36 48 64 0.602876514907985
+4 0 2 0 0 36 49 64 0.586676788385331
+4 0 2 0 0 36 50 64 0.567487491427417
+4 0 2 0 0 36 51 64 0.545406408292959
+4 0 2 0 0 36 52 64 0.520546059120174
+4 0 2 0 0 36 53 64 0.493033126549944
+4 0 2 0 0 36 54 64 0.463007810180118
+4 0 2 0 0 36 55 64 0.4306231121405
+4 0 2 0 0 36 56 64 0.396044057429062
+4 0 2 0 0 36 57 64 0.359446855481761
+4 0 2 0 0 36 58 64 0.321018015768317
+4 0 2 0 0 36 59 64 0.280954104881963
+4 0 2 0 0 36 60 64 0.239459617669995
+4 0 2 0 0 36 61 64 0.196776087767296
+4 0 2 0 0 36 62 64 0.153077116399109
+4 0 2 0 0 36 63 64 0.108889333629815
+4 0 2 0 0 36 64 64 0.0639255829329775
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.203336824400688
+4 0 1 0 0 36 28 64 0.287310844989877
+4 0 1 0 0 36 30 64 0.366814710346517
+4 0 1 0 0 36 32 64 0.437116971964769
+4 0 1 0 0 36 34 64 0.49863426960122
+4 0 1 0 0 36 36 64 0.54998022255102
+4 0 1 0 0 36 38 64 0.590130164181673
+4 0 1 0 0 36 40 64 0.618266994352901
+4 0 1 0 0 36 42 64 0.633771152144637
+4 0 1 0 0 36 44 64 0.636365165213341
+4 0 1 0 0 36 46 64 0.625992709893389
+4 0 1 0 0 36 48 64 0.602876514907985
+4 0 1 0 0 36 50 64 0.567487491427417
+4 0 1 0 0 36 52 64 0.520546059120174
+4 0 1 0 0 36 54 64 0.463007810180118
+4 0 1 0 0 36 56 64 0.396044057429062
+4 0 1 0 0 36 58 64 0.321018015768317
+4 0 1 0 0 36 60 64 0.239459617669995
+4 0 1 0 0 36 62 64 0.153077116399109
+4 0 1 0 0 36 64 64 0.0639255829329775
+4 0 1 0 0 36 66 64 -0.0269158286163637
+4 0 1 0 0 36 68 64 -0.117220277357043
+4 0 1 0 0 36 70 64 -0.205118972117534
+4 0 1 0 0 36 72 64 -0.288811734351734
+4 0 1 0 0 36 74 64 -0.365347955302905
+4 0 1 0 0 36 76 64 -0.436059668496852
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -0.637195713383579
+4 0 0 0 0 36 4 64 -0.604381951846523
+4 0 0 0 0 36 8 64 -0.522604758968737
+4 0 0 0 0 36 12 64 -0.398489236569475
+4 0 0 0 0 36 16 64 -0.242090486130096
+4 0 0 0 0 36 20 64 -0.0660790042720144
+4 0 0 0 0 36 24 64 0.115285805525215
+4 0 0 0 0 36 28 64 0.287310844989877
+4 0 0 0 0 36 32 64 0.437116971964769
+4 0 0 0 0 36 36 64 0.54998022255102
+4 0 0 0 0 36 40 64 0.618266994352901
+4 0 0 0 0 36 44 64 0.636365165213341
+4 0 0 0 0 36 48 64 0.602876514907985
+4 0 0 0 0 36 52 64 0.520546059120174
+4 0 0 0 0 36 56 64 0.396044057429062
+4 0 0 0 0 36 60 64 0.239459617669995
+4 0 0 0 0 36 64 64 0.0639255829329775
+4 0 0 0 0 36 68 64 -0.117220277357043
+4 0 0 0 0 36 72 64 -0.288811734351734
+4 0 0 0 0 36 76 64 -0.436059668496852
+4 0 0 0 0 36 80 64 -0.54948153100891
+4 0 0 0 0 36 84 64 -0.618387667771118
+4 0 0 0 0 36 88 64 -0.637195713383579
+4 0 0 0 0 36 92 64 -0.604381951846523
+4 0 0 0 0 36 96 64 -0.522604758968737
+4 0 0 0 0 36 100 64 -0.398489236569475
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.619815886877807
+5 0 2 0 0 36 40 64 0.628733178451717
+5 0 2 0 0 36 41 64 0.634468108110349
+5 0 2 0 0 36 42 64 0.636832586997563
+5 0 2 0 0 36 43 64 0.63603840841541
+5 0 2 0 0 36 44 64 0.631972289690598
+5 0 2 0 0 36 45 64 0.624692246671273
+5 0 2 0 0 36 46 64 0.614227386477732
+5 0 2 0 0 36 47 64 0.600632696295091
+5 0 2 0 0 36 48 64 0.583977300176662
+5 0 2 0 0 36 49 64 0.564346090139355
+5 0 2 0 0 36 50 64 0.541839101826738
+5 0 2 0 0 36 51 64 0.516571025574936
+5 0 2 0 0 36 52 64 0.488670621860938
+5 0 2 0 0 36 53 64 0.458280064597636
+5 0 2 0 0 36 54 64 0.425554217243752
+5 0 2 0 0 36 55 64 0.390659843153808
+5 0 2 0 0 36 56 64 0.353774757040274
+5 0 2 0 0 36 57 64 0.31508695672396
+5 0 2 0 0 36 58 64 0.274793655000646
+5 0 2 0 0 36 59 64 0.23310319538701
+5 0 2 0 0 36 60 64 0.190226123696334
+5 0 2 0 0 36 61 64 0.14644121790105
+5 0 2 0 0 36 62 64 0.101865930923136
+5 0 2 0 0 36 63 64 0.0571942942533359
+5 0 2 0 0 36 64 64 0.0119733841163162
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.62983015082462
+6 0 2 0 0 36 40 64 0.635052404329397
+6 0 2 0 0 36 41 64 0.636993013804279
+6 0 2 0 0 36 42 64 0.635597608138749
+6 0 2 0 0 36 43 64 0.631090107030999
+6 0 2 0 0 36 44 64 0.623315071397883
+6 0 2 0 0 36 45 64 0.61237923790045
+6 0 2 0 0 36 46 64 0.598318506773418
+6 0 2 0 0 36 47 64 0.581209474837006
+6 0 2 0 0 36 48 64 0.561138616584436
+6 0 2 0 0 36 49 64 0.538208331099852
+6 0 2 0 0 36 50 64 0.51253545937864
+6 0 2 0 0 36 51 64 0.484250823489581
+6 0 2 0 0 36 52 64 0.45349855735856
+6 0 2 0 0 36 53 64 0.420435365601054
+6 0 2 0 0 36 54 64 0.385229732533422
+6 0 2 0 0 36 55 64 0.348061058150187
+6 0 2 0 0 36 56 64 0.30911875280769
+6 0 2 0 0 36 57 64 0.268601490505991
+6 0 2 0 0 36 58 64 0.226715774515568
+6 0 2 0 0 36 59 64 0.183683548543471
+6 0 2 0 0 36 60 64 0.139714220272255
+6 0 2 0 0 36 61 64 0.0951348641397391
+6 0 2 0 0 36 62 64 0.0499803034989445
+6 0 2 0 0 36 63 64 0.00490296041934368
+6 0 2 0 0 36 64 64 -0.0404192857501374
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.297122722560746
+6 0 1 0 0 36 28 64 0.374509240180489
+6 0 1 0 0 36 30 64 0.447057640236956
+6 0 1 0 0 36 32 64 0.506827467675778
+6 0 1 0 0 36 34 64 0.556679618070835
+6 0 1 0 0 36 36 64 0.595093240342499
+6 0 1 0 0 36 38 64 0.621396256826992
+6 0 1 0 0 36 40 64 0.635052404329397
+6 0 1 0 0 36 42 64 0.635597608138749
+6 0 1 0 0 36 44 64 0.623315071397883
+6 0 1 0 0 36 46 64 0.598318506773418
+6 0 1 0 0 36 48 64 0.561138616584436
+6 0 1 0 0 36 50 64 0.51253545937864
+6 0 1 0 0 36 52 64 0.45349855735856
+6 0 1 0 0 36 54 64 0.385229732533422
+6 0 1 0 0 36 56 64 0.30911875280769
+6 0 1 0 0 36 58 64 0.226715774515568
+6 0 1 0 0 36 60 64 0.139714220272255
+6 0 1 0 0 36 62 64 0.0499803034989445
+6 0 1 0 0 36 64 64 -0.0404192857501374
+6 0 1 0 0 36 66 64 -0.130432939352435
+6 0 1 0 0 36 68 64 -0.217846161358475
+6 0 1 0 0 36 70 64 -0.300740709184171
+6 0 1 0 0 36 72 64 -0.377490025456466
+6 0 1 0 0 36 74 64 -0.4447927573626
+6 0 1 0 0 36 76 64 -0.504818975199184
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0.635541814474585
+7 0 2 0 0 36 40 64 0.637053798547796
+7 0 2 0 0 36 41 64 0.635223978161289
+7 0 2 0 0 36 42 64 0.630077596779582
+7 0 2 0 0 36 43 64 0.621886805327677
+7 0 2 0 0 36 44 64 0.610451161735986
+7 0 2 0 0 36 45 64 0.59593532618713
+7 0 2 0 0 36 46 64 0.578372933786984
+7 0 2 0 0 36 47 64 0.557865167010414
+7 0 2 0 0 36 48 64 0.534514205498578
+7 0 2 0 0 36 49 64 0.50843952109643
+7 0 2 0 0 36 50 64 0.479773943603996
+7 0 2 0 0 36 51 64 0.448663542759907
+7 0 2 0 0 36 52 64 0.415266860888379
+7 0 2 0 0 36 53 64 0.379754068928494
+7 0 2 0 0 36 54 64 0.342306142992595
+7 0 2 0 0 36 55 64 0.303113914189935
+7 0 2 0 0 36 56 64 0.262377121022836
+7 0 2 0 0 36 57 64 0.220304222790979
+7 0 2 0 0 36 58 64 0.177109097416333
+7 0 2 0 0 36 59 64 0.133031046020747
+7 0 2 0 0 36 60 64 0.0882665547822213
+7 0 2 0 0 36 61 64 0.0432026363395562
+7 0 2 0 0 36 62 64 -0.0022353479909682
+7 0 2 0 0 36 63 64 -0.0472096268183642
+7 0 2 0 0 36 64 64 -0.0922066719540544
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 0.637022764443851
+8 0 2 0 0 36 40 64 0.634794318919629
+8 0 2 0 0 36 41 64 0.629170822834932
+8 0 2 0 0 36 42 64 0.620311944049419
+8 0 2 0 0 36 43 64 0.608490147074774
+8 0 2 0 0 36 44 64 0.593466497140219
+8 0 2 0 0 36 45 64 0.575470975692125
+8 0 2 0 0 36 46 64 0.554524225966198
+8 0 2 0 0 36 47 64 0.530756506050169
+8 0 2 0 0 36 48 64 0.504282895512788
+8 0 2 0 0 36 49 64 0.475239733596221
+8 0 2 0 0 36 50 64 0.443774844042711
+8 0 2 0 0 36 51 64 0.410048560301108
+8 0 2 0 0 36 52 64 0.374232784470004
+8 0 2 0 0 36 53 64 0.336509983863942
+8 0 2 0 0 36 54 64 0.297072428471587
+8 0 2 0 0 36 55 64 0.256121117456294
+8 0 2 0 0 36 56 64 0.213864765415619
+8 0 2 0 0 36 57 64 0.170521214655696
+8 0 2 0 0 36 58 64 0.126308742346096
+8 0 2 0 0 36 59 64 0.0814898989568597
+8 0 2 0 0 36 60 64 0.0362316531196102
+8 0 2 0 0 36 61 64 -0.00900841431808859
+8 0 2 0 0 36 62 64 -0.0544289428269975
+8 0 2 0 0 36 63 64 -0.0992283125152526
+8 0 2 0 0 36 64 64 -0.143737359399544
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.385785774294104
+8 0 1 0 0 36 28 64 0.454285228667723
+8 0 1 0 0 36 30 64 0.515349182687446
+8 0 1 0 0 36 32 64 0.562872587840816
+8 0 1 0 0 36 34 64 0.599805067555074
+8 0 1 0 0 36 36 64 0.624236534857673
+8 0 1 0 0 36 38 64 0.635983763013118
+8 0 1 0 0 36 40 64 0.634794318919629
+8 0 1 0 0 36 42 64 0.620311944049419
+8 0 1 0 0 36 44 64 0.593466497140219
+8 0 1 0 0 36 46 64 0.554524225966198
+8 0 1 0 0 36 48 64 0.504282895512788
+8 0 1 0 0 36 50 64 0.443774844042711
+8 0 1 0 0 36 52 64 0.374232784470004
+8 0 1 0 0 36 54 64 0.297072428471587
+8 0 1 0 0 36 56 64 0.213864765415619
+8 0 1 0 0 36 58 64 0.126308742346096
+8 0 1 0 0 36 60 64 0.0362316531196102
+8 0 1 0 0 36 62 64 -0.0544289428269975
+8 0 1 0 0 36 64 64 -0.143737359399544
+8 0 1 0 0 36 66 64 -0.230450789159106
+8 0 1 0 0 36 68 64 -0.312628563905212
+8 0 1 0 0 36 70 64 -0.388236239019665
+8 0 1 0 0 36 72 64 -0.455985012315432
+8 0 1 0 0 36 74 64 -0.513778273598799
+8 0 1 0 0 36 76 64 -0.562263542224784
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -0.59648290094983
+8 0 0 0 0 36 4 64 -0.508360375451156
+8 0 0 0 0 36 8 64 -0.379053515669004
+8 0 0 0 0 36 12 64 -0.2190379943654
+8 0 0 0 0 36 16 64 -0.0412773174274225
+8 0 0 0 0 36 20 64 0.139827402282866
+8 0 0 0 0 36 24 64 0.309604137445777
+8 0 0 0 0 36 28 64 0.454285228667723
+8 0 0 0 0 36 32 64 0.562872587840816
+8 0 0 0 0 36 36 64 0.624236534857673
+8 0 0 0 0 36 40 64 0.634794318919629
+8 0 0 0 0 36 44 64 0.593466497140219
+8 0 0 0 0 36 48 64 0.504282895512788
+8 0 0 0 0 36 52 64 0.374232784470004
+8 0 0 0 0 36 56 64 0.213864765415619
+8 0 0 0 0 36 60 64 0.0362316531196102
+8 0 0 0 0 36 64 64 -0.143737359399544
+8 0 0 0 0 36 68 64 -0.312628563905212
+8 0 0 0 0 36 72 64 -0.455985012315432
+8 0 0 0 0 36 76 64 -0.562263542224784
+8 0 0 0 0 36 80 64 -0.624533179725877
+8 0 0 0 0 36 84 64 -0.636281929233952
+8 0 0 0 0 36 88 64 -0.59648290094983
+8 0 0 0 0 36 92 64 -0.508360375451156
+8 0 0 0 0 36 96 64 -0.379053515669004
+8 0 0 0 0 36 100 64 -0.2190379943654
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0.634209812828432
+9 0 2 0 0 36 40 64 0.628274918729509
+9 0 2 0 0 36 41 64 0.61887493262963
+9 0 2 0 0 36 42 64 0.606368956701179
+9 0 2 0 0 36 43 64 0.59098914383795
+9 0 2 0 0 36 44 64 0.572474620733552
+9 0 2 0 0 36 45 64 0.551123101534418
+9 0 2 0 0 36 46 64 0.526931468192858
+9 0 2 0 0 36 47 64 0.500064926280474
+9 0 2 0 0 36 48 64 0.470647115210927
+9 0 2 0 0 36 49 64 0.43883149642244
+9 0 2 0 0 36 50 64 0.404779625224306
+9 0 2 0 0 36 51 64 0.368665037535563
+9 0 2 0 0 36 52 64 0.3306718804883
+9 0 2 0 0 36 53 64 0.290993637198959
+9 0 2 0 0 36 54 64 0.249832627319507
+9 0 2 0 0 36 55 64 0.207398745216068
+9 0 2 0 0 36 56 64 0.163908182805421
+9 0 2 0 0 36 57 64 0.119588585038016
+9 0 2 0 0 36 58 64 0.074657858907391
+9 0 2 0 0 36 59 64 0.0294096955212991
+9 0 2 0 0 36 60 64 -0.0160389277239629
+9 0 2 0 0 36 61 64 -0.0611503732010811
+9 0 2 0 0 36 62 64 -0.106255188722756
+9 0 2 0 0 36 63 64 -0.150365657983652
+9 0 2 0 0 36 64 64 -0.193969842291678
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0.627114116521662
+10 0 2 0 0 36 40 64 0.617495280215898
+10 0 2 0 0 36 41 64 0.6044021373935
+10 0 2 0 0 36 42 64 0.588343083867872
+10 0 2 0 0 36 43 64 0.569499345632583
+10 0 2 0 0 36 44 64 0.547615860102001
+10 0 2 0 0 36 45 64 0.523053863668176
+10 0 2 0 0 36 46 64 0.495778027533365
+10 0 2 0 0 36 47 64 0.465995130854847
+10 0 2 0 0 36 48 64 0.433831303041527
+10 0 2 0 0 36 49 64 0.39945809396702
+10 0 2 0 0 36 50 64 0.363049110752814
+10 0 2 0 0 36 51 64 0.32479000080591
+10 0 2 0 0 36 52 64 0.284875988971724
+10 0 2 0 0 36 53 64 0.24351017996565
+10 0 2 0 0 36 54 64 0.200903674654662
+10 0 2 0 0 36 55 64 0.157274067722605
+10 0 2 0 0 36 56 64 0.112843230668311
+10 0 2 0 0 36 57 64 0.0678502045955367
+10 0 2 0 0 36 58 64 0.02250519043084
+10 0 2 0 0 36 59 64 -0.0228575087096431
+10 0 2 0 0 36 60 64 -0.0681932870472046
+10 0 2 0 0 36 61 64 -0.112877327228559
+10 0 2 0 0 36 62 64 -0.157367969690047
+10 0 2 0 0 36 63 64 -0.200716059147744
+10 0 2 0 0 36 64 64 -0.243251289228765
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.461982037492504
+10 0 1 0 0 36 28 64 0.520003487161111
+10 0 1 0 0 36 30 64 0.5698549298115
+10 0 1 0 0 36 32 64 0.603755785951431
+10 0 1 0 0 36 34 64 0.626858149242049
+10 0 1 0 0 36 36 64 0.636615967276566
+10 0 1 0 0 36 38 64 0.63349365000997
+10 0 1 0 0 36 40 64 0.617495280215898
+10 0 1 0 0 36 42 64 0.588343083867872
+10 0 1 0 0 36 44 64 0.547615860102001
+10 0 1 0 0 36 46 64 0.495778027533365
+10 0 1 0 0 36 48 64 0.433831303041527
+10 0 1 0 0 36 50 64 0.363049110752814
+10 0 1 0 0 36 52 64 0.284875988971724
+10 0 1 0 0 36 54 64 0.200903674654662
+10 0 1 0 0 36 56 64 0.112843230668311
+10 0 1 0 0 36 58 64 0.02250519043084
+10 0 1 0 0 36 60 64 -0.0681932870472046
+10 0 1 0 0 36 62 64 -0.157367969690047
+10 0 1 0 0 36 64 64 -0.243251289228765
+10 0 1 0 0 36 66 64 -0.324266855522901
+10 0 1 0 0 36 68 64 -0.399016282798785
+10 0 1 0 0 36 70 64 -0.465256872294347
+10 0 1 0 0 36 72 64 -0.522215657762104
+10 0 1 0 0 36 74 64 -0.567907294560717
+10 0 1 0 0 36 76 64 -0.603405764286277
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0.615849546643938
+11 0 2 0 0 36 40 64 0.602628638793061
+11 0 2 0 0 36 41 64 0.585848400498483
+11 0 2 0 0 36 42 64 0.566356039852578
+11 0 2 0 0 36 43 64 0.544162040655804
+11 0 2 0 0 36 44 64 0.519056371659523
+11 0 2 0 0 36 45 64 0.491449458480274
+11 0 2 0 0 36 46 64 0.461270378135533
+11 0 2 0 0 36 47 64 0.428773684701065
+11 0 2 0 0 36 48 64 0.394080357695485
+11 0 2 0 0 36 49 64 0.357381917639525
+11 0 2 0 0 36 50 64 0.31886171816411
+11 0 2 0 0 36 51 64 0.278716483514466
+11 0 2 0 0 36 52 64 0.237151292814672
+11 0 2 0 0 36 53 64 0.194377375663291
+11 0 2 0 0 36 54 64 0.150613328574047
+11 0 2 0 0 36 55 64 0.106083472292893
+11 0 2 0 0 36 56 64 0.0610129850943412
+11 0 2 0 0 36 57 64 0.0156553768397236
+11 0 2 0 0 36 58 64 -0.0297973491570258
+11 0 2 0 0 36 59 64 -0.0749599192875811
+11 0 2 0 0 36 60 64 -0.119881814833069
+11 0 2 0 0 36 61 64 -0.16384554200693
+11 0 2 0 0 36 62 64 -0.207430100938029
+11 0 2 0 0 36 63 64 -0.249510956127024
+11 0 2 0 0 36 64 64 -0.290570727132891
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0.600365589657947
+12 0 2 0 0 36 40 64 0.58361724932291
+12 0 2 0 0 36 41 64 0.563332660793948
+12 0 2 0 0 36 42 64 0.540554476893825
+12 0 2 0 0 36 43 64 0.515143570328633
+12 0 2 0 0 36 44 64 0.486987313516523
+12 0 2 0 0 36 45 64 0.456519066299318
+12 0 2 0 0 36 46 64 0.423637126413331
+12 0 2 0 0 36 47 64 0.388647762074525
+12 0 2 0 0 36 48 64 0.351658267237628
+12 0 2 0 0 36 49 64 0.312882991003019
+12 0 2 0 0 36 50 64 0.272511865172628
+12 0 2 0 0 36 51 64 0.230751846904073
+12 0 2 0 0 36 52 64 0.187816550685928
+12 0 2 0 0 36 53 64 0.143923776231565
+12 0 2 0 0 36 54 64 0.0992982808099042
+12 0 2 0 0 36 55 64 0.0541705637482062
+12 0 2 0 0 36 56 64 0.0087657515407526
+12 0 2 0 0 36 57 64 -0.036643435500451
+12 0 2 0 0 36 58 64 -0.0818970386343291
+12 0 2 0 0 36 59 64 -0.126548308225414
+12 0 2 0 0 36 60 64 -0.17075953632946
+12 0 2 0 0 36 61 64 -0.213715859869445
+12 0 2 0 0 36 62 64 -0.256110314666263
+12 0 2 0 0 36 63 64 -0.296833350876319
+12 0 2 0 0 36 64 64 -0.336265147030029
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.528170976179098
+12 0 1 0 0 36 28 64 0.573875790090809
+12 0 1 0 0 36 30 64 0.609087287276532
+12 0 1 0 0 36 32 64 0.628402642711963
+12 0 1 0 0 36 34 64 0.637116109241284
+12 0 1 0 0 36 36 64 0.631884907893327
+12 0 1 0 0 36 38 64 0.61398839170146
+12 0 1 0 0 36 40 64 0.58361724932291
+12 0 1 0 0 36 42 64 0.540554476893825
+12 0 1 0 0 36 44 64 0.486987313516523
+12 0 1 0 0 36 46 64 0.423637126413331
+12 0 1 0 0 36 48 64 0.351658267237628
+12 0 1 0 0 36 50 64 0.272511865172628
+12 0 1 0 0 36 52 64 0.187816550685928
+12 0 1 0 0 36 54 64 0.0992982808099042
+12 0 1 0 0 36 56 64 0.0087657515407526
+12 0 1 0 0 36 58 64 -0.0818970386343291
+12 0 1 0 0 36 60 64 -0.17075953632946
+12 0 1 0 0 36 62 64 -0.256110314666263
+12 0 1 0 0 36 64 64 -0.336265147030029
+12 0 1 0 0 36 66 64 -0.40933948294002
+12 0 1 0 0 36 68 64 -0.47468527241232
+12 0 1 0 0 36 70 64 -0.529752353702159
+12 0 1 0 0 36 72 64 -0.574440164216586
+12 0 1 0 0 36 74 64 -0.608058813284539
+12 0 1 0 0 36 76 64 -0.629908176479455
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -0.493113583217527
+12 0 0 0 0 36 4 64 -0.358814710696291
+12 0 0 0 0 36 8 64 -0.195446804267703
+12 0 0 0 0 36 12 64 -0.0162449601242362
+12 0 0 0 0 36 16 64 0.164272954075997
+12 0 0 0 0 36 20 64 0.331482033068
+12 0 0 0 0 36 24 64 0.471798630517263
+12 0 0 0 0 36 28 64 0.573875790090809
+12 0 0 0 0 36 32 64 0.628402642711963
+12 0 0 0 0 36 36 64 0.631884907893327
+12 0 0 0 0 36 40 64 0.58361724932291
+12 0 0 0 0 36 44 64 0.486987313516523
+12 0 0 0 0 36 48 64 0.351658267237628
+12 0 0 0 0 36 52 64 0.187816550685928
+12 0 0 0 0 36 56 64 0.0087657515407526
+12 0 0 0 0 36 60 64 -0.17075953632946
+12 0 0 0 0 36 64 64 -0.336265147030029
+12 0 0 0 0 36 68 64 -0.47468527241232
+12 0 0 0 0 36 72 64 -0.574440164216586
+12 0 0 0 0 36 76 64 -0.629908176479455
+12 0 0 0 0 36 80 64 -0.634176468120291
+12 0 0 0 0 36 84 64 -0.587465672010459
+12 0 0 0 0 36 88 64 -0.493113583217527
+12 0 0 0 0 36 92 64 -0.358814710696291
+12 0 0 0 0 36 96 64 -0.195446804267703
+12 0 0 0 0 36 100 64 -0.0162449601242362
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0.580953045201843
+13 0 2 0 0 36 40 64 0.560802428381677
+13 0 2 0 0 36 41 64 0.537002593720358
+13 0 2 0 0 36 42 64 0.511111583972052
+13 0 2 0 0 36 43 64 0.48263482790769
+13 0 2 0 0 36 44 64 0.451624142138562
+13 0 2 0 0 36 45 64 0.418494043735675
+13 0 2 0 0 36 46 64 0.383128305709754
+13 0 2 0 0 36 47 64 0.345884123147333
+13 0 2 0 0 36 48 64 0.306846999516293
+13 0 2 0 0 36 49 64 0.266257736440141
+13 0 2 0 0 36 50 64 0.224308609795664
+13 0 2 0 0 36 51 64 0.181216337126694
+13 0 2 0 0 36 52 64 0.137201557979924
+13 0 2 0 0 36 53 64 0.0924871313922945
+13 0 2 0 0 36 54 64 0.0473024872422594
+13 0 2 0 0 36 55 64 0.00188444929115118
+13 0 2 0 0 36 56 64 -0.043546770919112
+13 0 2 0 0 36 57 64 -0.0886928049973438
+13 0 2 0 0 36 58 64 -0.13344262948099
+13 0 2 0 0 36 59 64 -0.177277904039775
+13 0 2 0 0 36 60 64 -0.220488347964984
+13 0 2 0 0 36 61 64 -0.262153788488394
+13 0 2 0 0 36 62 64 -0.303087957142435
+13 0 2 0 0 36 63 64 -0.341985198409177
+13 0 2 0 0 36 64 64 -0.379381845443558
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0.5574971416694
+14 0 2 0 0 36 40 64 0.534070403777286
+14 0 2 0 0 36 41 64 0.507028017561941
+14 0 2 0 0 36 42 64 0.478225029465731
+14 0 2 0 0 36 43 64 0.446850871657929
+14 0 2 0 0 36 44 64 0.413206133200578
+14 0 2 0 0 36 45 64 0.377627357728318
+14 0 2 0 0 36 46 64 0.340014907998268
+14 0 2 0 0 36 47 64 0.300768298570231
+14 0 2 0 0 36 48 64 0.259945639810918
+14 0 2 0 0 36 49 64 0.217817953094562
+14 0 2 0 0 36 50 64 0.17457449430838
+14 0 2 0 0 36 51 64 0.130441843886416
+14 0 2 0 0 36 52 64 0.0856457963832284
+14 0 2 0 0 36 53 64 0.0404129868425929
+14 0 2 0 0 36 54 64 -0.00502433368010441
+14 0 2 0 0 36 55 64 -0.0504218685036027
+14 0 2 0 0 36 56 64 -0.0955712494437229
+14 0 2 0 0 36 57 64 -0.140140462027633
+14 0 2 0 0 36 58 64 -0.184086593731865
+14 0 2 0 0 36 59 64 -0.22680985613064
+14 0 2 0 0 36 60 64 -0.268738951445579
+14 0 2 0 0 36 61 64 -0.308832890630447
+14 0 2 0 0 36 62 64 -0.348052979592333
+14 0 2 0 0 36 63 64 -0.384990370168563
+14 0 2 0 0 36 64 64 -0.42023839019902
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.578671141408102
+14 0 1 0 0 36 28 64 0.611120922399807
+14 0 1 0 0 36 30 64 0.632012915382089
+14 0 1 0 0 36 32 64 0.636200723451974
+14 0 1 0 0 36 34 64 0.630303783692811
+14 0 1 0 0 36 36 64 0.610157138657849
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+14 0 1 0 0 36 40 64 0.534070403777286
+14 0 1 0 0 36 42 64 0.478225029465731
+14 0 1 0 0 36 44 64 0.413206133200578
+14 0 1 0 0 36 46 64 0.340014907998268
+14 0 1 0 0 36 48 64 0.259945639810918
+14 0 1 0 0 36 50 64 0.17457449430838
+14 0 1 0 0 36 52 64 0.0856457963832284
+14 0 1 0 0 36 54 64 -0.00502433368010441
+14 0 1 0 0 36 56 64 -0.0955712494437229
+14 0 1 0 0 36 58 64 -0.184086593731865
+14 0 1 0 0 36 60 64 -0.268738951445579
+14 0 1 0 0 36 62 64 -0.348052979592333
+14 0 1 0 0 36 64 64 -0.42023839019902
+14 0 1 0 0 36 66 64 -0.483360644461239
+14 0 1 0 0 36 68 64 -0.537602528094023
+14 0 1 0 0 36 70 64 -0.580025497545688
+14 0 1 0 0 36 72 64 -0.611286050331741
+14 0 1 0 0 36 74 64 -0.631170582456802
+14 0 1 0 0 36 76 64 -0.639028110080958
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0.530463812429352
+15 0 2 0 0 36 40 64 0.503921835127714
+15 0 2 0 0 36 41 64 0.47360683512477
+15 0 2 0 0 36 42 64 0.442118233521132
+15 0 2 0 0 36 43 64 0.408030533616459
+15 0 2 0 0 36 44 64 0.37199583569295
+15 0 2 0 0 36 45 64 0.334193107741609
+15 0 2 0 0 36 46 64 0.294588489791101
+15 0 2 0 0 36 47 64 0.253603841719069
+15 0 2 0 0 36 48 64 0.211269641245549
+15 0 2 0 0 36 49 64 0.167889858589419
+15 0 2 0 0 36 50 64 0.123644452664183
+15 0 2 0 0 36 51 64 0.0787707167900749
+15 0 2 0 0 36 52 64 0.0334971284255998
+15 0 2 0 0 36 53 64 -0.0119466770279073
+15 0 2 0 0 36 54 64 -0.0573281848714071
+15 0 2 0 0 36 55 64 -0.102393152474453
+15 0 2 0 0 36 56 64 -0.146954559620603
+15 0 2 0 0 36 57 64 -0.19063740702926
+15 0 2 0 0 36 58 64 -0.233487421552762
+15 0 2 0 0 36 59 64 -0.274812612442646
+15 0 2 0 0 36 60 64 -0.315192585072238
+15 0 2 0 0 36 61 64 -0.353435008334149
+15 0 2 0 0 36 62 64 -0.390706873443907
+15 0 2 0 0 36 63 64 -0.425303597116819
+15 0 2 0 0 36 64 64 -0.457969722054716
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0.499670454273888
+16 0 2 0 0 36 40 64 0.470189835893635
+16 0 2 0 0 36 41 64 0.436959170255019
+16 0 2 0 0 36 42 64 0.403037561893438
+16 0 2 0 0 36 43 64 0.366435777111905
+16 0 2 0 0 36 44 64 0.328278218480088
+16 0 2 0 0 36 45 64 0.288485869409555
+16 0 2 0 0 36 46 64 0.247160562452306
+16 0 2 0 0 36 47 64 0.204711400290713
+16 0 2 0 0 36 48 64 0.161149945420153
+16 0 2 0 0 36 49 64 0.116812947371776
+16 0 2 0 0 36 50 64 0.0718645498378625
+16 0 2 0 0 36 51 64 0.0265544063829075
+16 0 2 0 0 36 52 64 -0.018889688925216
+16 0 2 0 0 36 53 64 -0.0642349950966005
+16 0 2 0 0 36 54 64 -0.109252480974133
+16 0 2 0 0 36 55 64 -0.153673859611725
+16 0 2 0 0 36 56 64 -0.197345915515742
+16 0 2 0 0 36 57 64 -0.239840122221483
+16 0 2 0 0 36 58 64 -0.281312051875033
+16 0 2 0 0 36 59 64 -0.320963369350937
+16 0 2 0 0 36 60 64 -0.359542400185396
+16 0 2 0 0 36 61 64 -0.395655569898129
+16 0 2 0 0 36 62 64 -0.43076317179995
+16 0 2 0 0 36 63 64 -0.462812586951206
+16 0 2 0 0 36 64 64 -0.492864194091212
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.615314578062058
+16 0 1 0 0 36 28 64 0.63333262244044
+16 0 1 0 0 36 30 64 0.638000771104766
+16 0 1 0 0 36 32 64 0.626988968023521
+16 0 1 0 0 36 34 64 0.606601429974022
+16 0 1 0 0 36 36 64 0.572009396606785
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+16 0 1 0 0 36 40 64 0.470189835893635
+16 0 1 0 0 36 42 64 0.403037561893438
+16 0 1 0 0 36 44 64 0.328278218480088
+16 0 1 0 0 36 46 64 0.247160562452306
+16 0 1 0 0 36 48 64 0.161149945420153
+16 0 1 0 0 36 50 64 0.0718645498378625
+16 0 1 0 0 36 52 64 -0.018889688925216
+16 0 1 0 0 36 54 64 -0.109252480974133
+16 0 1 0 0 36 56 64 -0.197345915515742
+16 0 1 0 0 36 58 64 -0.281312051875033
+16 0 1 0 0 36 60 64 -0.359542400185396
+16 0 1 0 0 36 62 64 -0.43076317179995
+16 0 1 0 0 36 64 64 -0.492864194091212
+16 0 1 0 0 36 66 64 -0.544324864652718
+16 0 1 0 0 36 68 64 -0.58607954732067
+16 0 1 0 0 36 70 64 -0.614765785117694
+16 0 1 0 0 36 72 64 -0.631826650591296
+16 0 1 0 0 36 74 64 -0.638234788485644
+16 0 1 0 0 36 76 64 -0.631679787998572
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -0.337794414256765
+16 0 0 0 0 36 4 64 -0.171335037756763
+16 0 0 0 0 36 8 64 0.00900705762306821
+16 0 0 0 0 36 12 64 0.188619368399998
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+16 0 0 0 0 36 28 64 0.63333262244044
+16 0 0 0 0 36 32 64 0.626988968023521
+16 0 0 0 0 36 36 64 0.572009396606785
+16 0 0 0 0 36 40 64 0.470189835893635
+16 0 0 0 0 36 44 64 0.328278218480088
+16 0 0 0 0 36 48 64 0.161149945420153
+16 0 0 0 0 36 52 64 -0.018889688925216
+16 0 0 0 0 36 56 64 -0.197345915515742
+16 0 0 0 0 36 60 64 -0.359542400185396
+16 0 0 0 0 36 64 64 -0.492864194091212
+16 0 0 0 0 36 68 64 -0.58607954732067
+16 0 0 0 0 36 72 64 -0.631826650591296
+16 0 0 0 0 36 76 64 -0.631679787998572
+16 0 0 0 0 36 80 64 -0.577133612149914
+16 0 0 0 0 36 84 64 -0.476912575527702
+16 0 0 0 0 36 88 64 -0.337794414256765
+16 0 0 0 0 36 92 64 -0.171335037756763
+16 0 0 0 0 36 96 64 0.00900705762306821
+16 0 0 0 0 36 100 64 0.188619368399998
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0.465752069015395
+17 0 2 0 0 36 40 64 0.433521306654
+17 0 2 0 0 36 41 64 0.397332792577396
+17 0 2 0 0 36 42 64 0.361252194866121
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+17 0 2 0 0 36 44 64 0.282358975062391
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+17 0 2 0 0 36 49 64 0.0649383649317441
+17 0 2 0 0 36 50 64 0.0195902757954509
+17 0 2 0 0 36 51 64 -0.0258483470298666
+17 0 2 0 0 36 52 64 -0.0711549344276928
+17 0 2 0 0 36 53 64 -0.116092220019037
+17 0 2 0 0 36 54 64 -0.16044019744405
+17 0 2 0 0 36 55 64 -0.203910554373971
+17 0 2 0 0 36 56 64 -0.246399486247402
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+17 0 2 0 0 36 58 64 -0.327238453376753
+17 0 2 0 0 36 59 64 -0.364950040589371
+17 0 2 0 0 36 60 64 -0.401494478721862
+17 0 2 0 0 36 61 64 -0.435203752388479
+17 0 2 0 0 36 62 64 -0.467948754604053
+17 0 2 0 0 36 63 64 -0.497218049087666
+17 0 2 0 0 36 64 64 -0.52417409581236
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0.428458050727856
+18 0 2 0 0 36 40 64 0.393700613882491
+18 0 2 0 0 36 41 64 0.354997471616255
+18 0 2 0 0 36 42 64 0.317049998714123
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+18 0 2 0 0 36 44 64 0.234561719555569
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+18 0 2 0 0 36 47 64 0.10310128429322
+18 0 2 0 0 36 48 64 0.0579720073070356
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+18 0 2 0 0 36 50 64 -0.0328158535458172
+18 0 2 0 0 36 51 64 -0.0780740225864195
+18 0 2 0 0 36 52 64 -0.122936522725971
+18 0 2 0 0 36 53 64 -0.167158401746077
+18 0 2 0 0 36 54 64 -0.210536686582854
+18 0 2 0 0 36 55 64 -0.252754956647743
+18 0 2 0 0 36 56 64 -0.29377761144696
+18 0 2 0 0 36 57 64 -0.333031193382851
+18 0 2 0 0 36 58 64 -0.370958258674203
+18 0 2 0 0 36 59 64 -0.406473689829667
+18 0 2 0 0 36 60 64 -0.440768613412204
+18 0 2 0 0 36 61 64 -0.471808534526938
+18 0 2 0 0 36 62 64 -0.502003142943992
+18 0 2 0 0 36 63 64 -0.528203309298804
+18 0 2 0 0 36 64 64 -0.552148664050208
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0.634683844838822
+18 0 1 0 0 36 28 64 0.638105385802741
+18 0 1 0 0 36 30 64 0.626926984313934
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+18 0 1 0 0 36 58 64 -0.370958258674203
+18 0 1 0 0 36 60 64 -0.440768613412204
+18 0 1 0 0 36 62 64 -0.502003142943992
+18 0 1 0 0 36 64 64 -0.552148664050208
+18 0 1 0 0 36 66 64 -0.590590661676418
+18 0 1 0 0 36 68 64 -0.618816839765151
+18 0 1 0 0 36 70 64 -0.633086346706732
+18 0 1 0 0 36 72 64 -0.635525051359897
+18 0 1 0 0 36 74 64 -0.627907768288701
+18 0 1 0 0 36 76 64 -0.607655959009872
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0.388576802839474
+19 0 2 0 0 36 40 64 0.35150354392877
+19 0 2 0 0 36 41 64 0.310248364482914
+19 0 2 0 0 36 42 64 0.270735958461872
+19 0 2 0 0 36 43 64 0.227943525658183
+19 0 2 0 0 36 44 64 0.18522385041631
+19 0 2 0 0 36 45 64 0.140947878962754
+19 0 2 0 0 36 46 64 0.0962493675233065
+19 0 2 0 0 36 47 64 0.0510933556081787
+19 0 2 0 0 36 48 64 0.00563725261128618
+19 0 2 0 0 36 49 64 -0.0397562238352576
+19 0 2 0 0 36 50 64 -0.0849875313762416
+19 0 2 0 0 36 51 64 -0.129757666221702
+19 0 2 0 0 36 52 64 -0.173873393061938
+19 0 2 0 0 36 53 64 -0.217076857875212
+19 0 2 0 0 36 54 64 -0.259193254987489
+19 0 2 0 0 36 55 64 -0.299867649372625
+19 0 2 0 0 36 56 64 -0.339154570456421
+19 0 2 0 0 36 57 64 -0.376383598724357
+19 0 2 0 0 36 58 64 -0.412179245708158
+19 0 2 0 0 36 59 64 -0.445251510794425
+19 0 2 0 0 36 60 64 -0.477098981850743
+19 0 2 0 0 36 61 64 -0.505218579291678
+19 0 2 0 0 36 62 64 -0.532684642911239
+19 0 2 0 0 36 63 64 -0.55576384792341
+19 0 2 0 0 36 64 64 -0.576184173677959
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0.345798095010917
+20 0 2 0 0 36 40 64 0.306671501342951
+20 0 2 0 0 36 41 64 0.263399635887557
+20 0 2 0 0 36 42 64 0.222627439139806
+20 0 2 0 0 36 43 64 0.178279795648154
+20 0 2 0 0 36 44 64 0.134691407083801
+20 0 2 0 0 36 45 64 0.0894429574096636
+20 0 2 0 0 36 46 64 0.0442640627302038
+20 0 2 0 0 36 47 64 -0.00123056428660078
+20 0 2 0 0 36 48 64 -0.0467013601747625
+20 0 2 0 0 36 49 64 -0.0918418043018431
+20 0 2 0 0 36 50 64 -0.136558703578935
+20 0 2 0 0 36 51 64 -0.180537043585014
+20 0 2 0 0 36 52 64 -0.223609634823214
+20 0 2 0 0 36 53 64 -0.2654983758581
+20 0 2 0 0 36 54 64 -0.306071419927379
+20 0 2 0 0 36 55 64 -0.34492230037356
+20 0 2 0 0 36 56 64 -0.382220652384781
+20 0 2 0 0 36 57 64 -0.417176348781705
+20 0 2 0 0 36 58 64 -0.450627402502857
+20 0 2 0 0 36 59 64 -0.481019882722765
+20 0 2 0 0 36 60 64 -0.510235224934435
+20 0 2 0 0 36 61 64 -0.535206596622855
+20 0 2 0 0 36 62 64 -0.559768691496586
+20 0 2 0 0 36 63 64 -0.579385617400496
+20 0 2 0 0 36 64 64 -0.596481866404545
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0.637802360310747
+20 0 1 0 0 36 28 64 0.626241047290031
+20 0 1 0 0 36 30 64 0.599078418668939
+20 0 1 0 0 36 32 64 0.559197234894141
+20 0 1 0 0 36 34 64 0.511498303814464
+20 0 1 0 0 36 36 64 0.451000620225603
+20 0 1 0 0 36 38 64 0.382978999656182
+20 0 1 0 0 36 40 64 0.306671501342951
+20 0 1 0 0 36 42 64 0.222627439139806
+20 0 1 0 0 36 44 64 0.134691407083801
+20 0 1 0 0 36 46 64 0.0442640627302038
+20 0 1 0 0 36 48 64 -0.0467013601747625
+20 0 1 0 0 36 50 64 -0.136558703578935
+20 0 1 0 0 36 52 64 -0.223609634823214
+20 0 1 0 0 36 54 64 -0.306071419927379
+20 0 1 0 0 36 56 64 -0.382220652384781
+20 0 1 0 0 36 58 64 -0.450627402502857
+20 0 1 0 0 36 60 64 -0.510235224934435
+20 0 1 0 0 36 62 64 -0.559768691496586
+20 0 1 0 0 36 64 64 -0.596481866404545
+20 0 1 0 0 36 66 64 -0.62093072533294
+20 0 1 0 0 36 68 64 -0.634938259581221
+20 0 1 0 0 36 70 64 -0.634527906156
+20 0 1 0 0 36 72 64 -0.622347630391839
+20 0 1 0 0 36 74 64 -0.601091644576168
+20 0 1 0 0 36 76 64 -0.567025706855666
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -0.14671730263796
+20 0 0 0 0 36 4 64 0.0344564120745607
+20 0 0 0 0 36 8 64 0.212856332547802
+20 0 0 0 0 36 12 64 0.374010450512215
+20 0 0 0 0 36 16 64 0.504851038756511
+20 0 0 0 0 36 20 64 0.594792863110573
+20 0 0 0 0 36 24 64 0.636004215315861
+20 0 0 0 0 36 28 64 0.626241047290031
+20 0 0 0 0 36 32 64 0.559197234894141
+20 0 0 0 0 36 36 64 0.451000620225603
+20 0 0 0 0 36 40 64 0.306671501342951
+20 0 0 0 0 36 44 64 0.134691407083801
+20 0 0 0 0 36 48 64 -0.0467013601747625
+20 0 0 0 0 36 52 64 -0.223609634823214
+20 0 0 0 0 36 56 64 -0.382220652384781
+20 0 0 0 0 36 60 64 -0.510235224934435
+20 0 0 0 0 36 64 64 -0.596481866404545
+20 0 0 0 0 36 68 64 -0.634938259581221
+20 0 0 0 0 36 72 64 -0.622347630391839
+20 0 0 0 0 36 76 64 -0.567025706855666
+20 0 0 0 0 36 80 64 -0.459118066564387
+20 0 0 0 0 36 84 64 -0.316110453209494
+20 0 0 0 0 36 88 64 -0.14671730263796
+20 0 0 0 0 36 92 64 0.0344564120745607
+20 0 0 0 0 36 96 64 0.212856332547802
+20 0 0 0 0 36 100 64 0.374010450512215
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0.301035368847648
+21 0 2 0 0 36 40 64 0.260087541303959
+21 0 2 0 0 36 41 64 0.214784508774168
+21 0 2 0 0 36 42 64 0.173052231181496
+21 0 2 0 0 36 43 64 0.127434741477095
+21 0 2 0 0 36 44 64 0.0833134611237447
+21 0 2 0 0 36 45 64 0.0373704417251504
+21 0 2 0 0 36 46 64 -0.00794862303432576
+21 0 2 0 0 36 47 64 -0.0535036888006757
+21 0 2 0 0 36 48 64 -0.0986726523738491
+21 0 2 0 0 36 49 64 -0.143265380497755
+21 0 2 0 0 36 50 64 -0.187168200674553
+21 0 2 0 0 36 51 64 -0.230057367831065
+21 0 2 0 0 36 52 64 -0.271799106771777
+21 0 2 0 0 36 53 64 -0.312085894975051
+21 0 2 0 0 36 54 64 -0.350847560640884
+21 0 2 0 0 36 55 64 -0.387610076636599
+21 0 2 0 0 36 56 64 -0.422686078084558
+21 0 2 0 0 36 57 64 -0.455136012042462
+21 0 2 0 0 36 58 64 -0.486048365467856
+21 0 2 0 0 36 59 64 -0.513537156281641
+21 0 2 0 0 36 60 64 -0.539944237010045
+21 0 2 0 0 36 61 64 -0.561569558556984
+21 0 2 0 0 36 62 64 -0.583058432451218
+21 0 2 0 0 36 63 64 -0.599310902678108
+21 0 2 0 0 36 64 64 -0.612601267499718
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0.253936156100823
+22 0 2 0 0 36 40 64 0.211457312085487
+22 0 2 0 0 36 41 64 0.164747736164364
+22 0 2 0 0 36 42 64 0.122344435256662
+22 0 2 0 0 36 43 64 0.0757613209685022
+22 0 2 0 0 36 44 64 0.031437007742338
+22 0 2 0 0 36 45 64 -0.014909809933721
+22 0 2 0 0 36 46 64 -0.0600241466229041
+22 0 2 0 0 36 47 64 -0.105363836379122
+22 0 2 0 0 36 48 64 -0.149911142137151
+22 0 2 0 0 36 49 64 -0.193670549162033
+22 0 2 0 0 36 50 64 -0.236464565564238
+22 0 2 0 0 36 51 64 -0.277976188917312
+22 0 2 0 0 36 52 64 -0.318110133363028
+22 0 2 0 0 36 53 64 -0.356519241625998
+22 0 2 0 0 36 54 64 -0.393217492798618
+22 0 2 0 0 36 55 64 -0.427643781536489
+22 0 2 0 0 36 56 64 -0.460284204960203
+22 0 2 0 0 36 57 64 -0.490012373576831
+22 0 2 0 0 36 58 64 -0.518208196967455
+22 0 2 0 0 36 59 64 -0.542585715506797
+22 0 2 0 0 36 60 64 -0.566013033747162
+22 0 2 0 0 36 61 64 -0.584130006050456
+22 0 2 0 0 36 62 64 -0.602383952724383
+22 0 2 0 0 36 63 64 -0.614943085533337
+22 0 2 0 0 36 64 64 -0.624689201873562
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0.623888581936971
+22 0 1 0 0 36 28 64 0.597977531134408
+22 0 1 0 0 36 30 64 0.555243925808794
+22 0 1 0 0 36 32 64 0.502517824091814
+22 0 1 0 0 36 34 64 0.442658439319717
+22 0 1 0 0 36 36 64 0.371448433940019
+22 0 1 0 0 36 38 64 0.294895163915066
+22 0 1 0 0 36 40 64 0.211457312085487
+22 0 1 0 0 36 42 64 0.122344435256662
+22 0 1 0 0 36 44 64 0.031437007742338
+22 0 1 0 0 36 46 64 -0.0600241466229041
+22 0 1 0 0 36 48 64 -0.149911142137151
+22 0 1 0 0 36 50 64 -0.236464565564238
+22 0 1 0 0 36 52 64 -0.318110133363028
+22 0 1 0 0 36 54 64 -0.393217492798618
+22 0 1 0 0 36 56 64 -0.460284204960203
+22 0 1 0 0 36 58 64 -0.518208196967455
+22 0 1 0 0 36 60 64 -0.566013033747162
+22 0 1 0 0 36 62 64 -0.602383952724383
+22 0 1 0 0 36 64 64 -0.624689201873562
+22 0 1 0 0 36 66 64 -0.634565225308887
+22 0 1 0 0 36 68 64 -0.634017627703373
+22 0 1 0 0 36 70 64 -0.619082282644098
+22 0 1 0 0 36 72 64 -0.592632670491392
+22 0 1 0 0 36 74 64 -0.558381869831187
+22 0 1 0 0 36 76 64 -0.51216106437629
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0.20550147368881
+23 0 2 0 0 36 40 64 0.161745529865327
+23 0 2 0 0 36 41 64 0.113642738359054
+23 0 2 0 0 36 42 64 0.0708430211332968
+23 0 2 0 0 36 43 64 0.023614534702693
+23 0 2 0 0 36 44 64 -0.020596797438725
+23 0 2 0 0 36 45 64 -0.0670429803258274
+23 0 2 0 0 36 46 64 -0.111609469776253
+23 0 2 0 0 36 47 64 -0.15645862564141
+23 0 2 0 0 36 48 64 -0.200062770889001
+23 0 2 0 0 36 49 64 -0.242714254456166
+23 0 2 0 0 36 50 64 -0.284110588561725
+23 0 2 0 0 36 51 64 -0.323967920868768
+23 0 2 0 0 36 52 64 -0.362229760691359
+23 0 2 0 0 36 53 64 -0.398499389383101
+23 0 2 0 0 36 54 64 -0.432900378932911
+23 0 2 0 0 36 55 64 -0.464761174715851
+23 0 2 0 0 36 56 64 -0.494773475572979
+23 0 2 0 0 36 57 64 -0.521580243554704
+23 0 2 0 0 36 58 64 -0.546893699869221
+23 0 2 0 0 36 59 64 -0.567973073022963
+23 0 2 0 0 36 60 64 -0.588252719915169
+23 0 2 0 0 36 61 64 -0.602737733526661
+23 0 2 0 0 36 62 64 -0.617610521740755
+23 0 2 0 0 36 63 64 -0.626637235771335
+23 0 2 0 0 36 64 64 -0.6324775536859
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0.155357054019681
+24 0 2 0 0 36 40 64 0.110630622584215
+24 0 2 0 0 36 41 64 0.061824096451542
+24 0 2 0 0 36 42 64 0.01888890225485
+24 0 2 0 0 36 43 64 -0.0286524300640415
+24 0 2 0 0 36 44 64 -0.0724543612904673
+24 0 2 0 0 36 45 64 -0.118683021333424
+24 0 2 0 0 36 46 64 -0.162368072299292
+24 0 2 0 0 36 47 64 -0.206449693169579
+24 0 2 0 0 36 48 64 -0.248790078811333
+24 0 2 0 0 36 49 64 -0.29007080399866
+24 0 2 0 0 36 50 64 -0.32978706828995
+24 0 2 0 0 36 51 64 -0.367727477514929
+24 0 2 0 0 36 52 64 -0.403867056010127
+24 0 2 0 0 36 53 64 -0.437751713651148
+24 0 2 0 0 36 54 64 -0.469641385416457
+24 0 2 0 0 36 55 64 -0.498726970210757
+24 0 2 0 0 36 56 64 -0.525937779421706
+24 0 2 0 0 36 57 64 -0.549639980438136
+24 0 2 0 0 36 58 64 -0.571912699977731
+24 0 2 0 0 36 59 64 -0.589532181973674
+24 0 2 0 0 36 60 64 -0.606503019086422
+24 0 2 0 0 36 61 64 -0.617268672707571
+24 0 2 0 0 36 62 64 -0.628640593754536
+24 0 2 0 0 36 63 64 -0.633878634492104
+24 0 2 0 0 36 64 64 -0.636055694883457
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0.593051435158336
+24 0 1 0 0 36 28 64 0.553235529258506
+24 0 1 0 0 36 30 64 0.496587153503386
+24 0 1 0 0 36 32 64 0.432568128179715
+24 0 1 0 0 36 34 64 0.361989164300813
+24 0 1 0 0 36 36 64 0.282004295076648
+24 0 1 0 0 36 38 64 0.199026677654447
+24 0 1 0 0 36 40 64 0.110630622584215
+24 0 1 0 0 36 42 64 0.01888890225485
+24 0 1 0 0 36 44 64 -0.0724543612904673
+24 0 1 0 0 36 46 64 -0.162368072299292
+24 0 1 0 0 36 48 64 -0.248790078811333
+24 0 1 0 0 36 50 64 -0.32978706828995
+24 0 1 0 0 36 52 64 -0.403867056010127
+24 0 1 0 0 36 54 64 -0.469641385416457
+24 0 1 0 0 36 56 64 -0.525937779421706
+24 0 1 0 0 36 58 64 -0.571912699977731
+24 0 1 0 0 36 60 64 -0.606503019086422
+24 0 1 0 0 36 62 64 -0.628640593754536
+24 0 1 0 0 36 64 64 -0.636055694883457
+24 0 1 0 0 36 66 64 -0.631176827555007
+24 0 1 0 0 36 68 64 -0.616095580436379
+24 0 1 0 0 36 70 64 -0.587171213882843
+24 0 1 0 0 36 72 64 -0.547225423875211
+24 0 1 0 0 36 74 64 -0.500404205661221
+24 0 1 0 0 36 76 64 -0.442271353958298
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0.0601352028871057
+24 0 0 0 0 36 4 64 0.236957458369474
+24 0 0 0 0 36 8 64 0.394656523128193
+24 0 0 0 0 36 12 64 0.520374609924172
+24 0 0 0 0 36 16 64 0.603881812260733
+24 0 0 0 0 36 20 64 0.638500078798993
+24 0 0 0 0 36 24 64 0.620271548205341
+24 0 0 0 0 36 28 64 0.553235529258506
+24 0 0 0 0 36 32 64 0.432568128179715
+24 0 0 0 0 36 36 64 0.282004295076648
+24 0 0 0 0 36 40 64 0.110630622584215
+24 0 0 0 0 36 44 64 -0.0724543612904673
+24 0 0 0 0 36 48 64 -0.248790078811333
+24 0 0 0 0 36 52 64 -0.403867056010127
+24 0 0 0 0 36 56 64 -0.525937779421706
+24 0 0 0 0 36 60 64 -0.606503019086422
+24 0 0 0 0 36 64 64 -0.636055694883457
+24 0 0 0 0 36 68 64 -0.616095580436379
+24 0 0 0 0 36 72 64 -0.547225423875211
+24 0 0 0 0 36 76 64 -0.442271353958298
+24 0 0 0 0 36 80 64 -0.292297261822056
+24 0 0 0 0 36 84 64 -0.121852628406663
+24 0 0 0 0 36 88 64 0.0601352028871057
+24 0 0 0 0 36 92 64 0.236957458369474
+24 0 0 0 0 36 96 64 0.394656523128193
+24 0 0 0 0 36 100 64 0.520374609924172
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.zl
new file mode 100644
index 000000000..98f566827
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.zl
@@ -0,0 +1,1757 @@
+# HYDROTOY::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.132428472368254
+0 0 2 0 0 36 48 52 0.196827067972688
+0 0 2 0 0 36 48 53 0.259069185031701
+0 0 2 0 0 36 48 54 0.318472885885794
+0 0 2 0 0 36 48 55 0.374387331157387
+0 0 2 0 0 36 48 56 0.426199910483233
+0 0 2 0 0 36 48 57 0.473342954401761
+0 0 2 0 0 36 48 58 0.515299953858481
+0 0 2 0 0 36 48 59 0.55161121918728
+0 0 2 0 0 36 48 60 0.581878916566594
+0 0 2 0 0 36 48 61 0.605771426770014
+0 0 2 0 0 36 48 62 0.62302697845592
+0 0 2 0 0 36 48 63 0.633456516189086
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 36 48 65 0.633456516189086
+0 0 2 0 0 36 48 66 0.62302697845592
+0 0 2 0 0 36 48 67 0.605771426770014
+0 0 2 0 0 36 48 68 0.581878916566594
+0 0 2 0 0 36 48 69 0.55161121918728
+0 0 2 0 0 36 48 70 0.515299953858481
+0 0 2 0 0 36 48 71 0.47334295440176
+0 0 2 0 0 36 48 72 0.426199910483233
+0 0 2 0 0 36 48 73 0.374387331157387
+0 0 2 0 0 36 48 74 0.318472885885794
+0 0 2 0 0 36 48 75 0.259069185031701
+0 0 2 0 0 36 48 76 0.196827067972688
+0 0 2 0 0 36 48 77 0.132428472368254
+0 0 2 0 0 36 48 78 0.0665789627081145
+0 0 2 0 0 36 48 79 1.02901299771943e-15
+0 0 2 0 0 36 48 80 -0.0665789627081124
+0 0 2 0 0 36 48 81 -0.132428472368252
+0 0 2 0 0 36 48 82 -0.196827067972686
+0 0 2 0 0 36 48 83 -0.259069185031699
+0 0 2 0 0 36 48 84 -0.318472885885792
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -0.636945771771587
+0 0 1 0 0 36 48 36 -0.62302697845592
+0 0 1 0 0 36 48 38 -0.581878916566593
+0 0 1 0 0 36 48 40 -0.515299953858479
+0 0 1 0 0 36 48 42 -0.426199910483232
+0 0 1 0 0 36 48 44 -0.318472885885792
+0 0 1 0 0 36 48 46 -0.196827067972686
+0 0 1 0 0 36 48 48 -0.0665789627081123
+0 0 1 0 0 36 48 50 0.0665789627081145
+0 0 1 0 0 36 48 52 0.196827067972688
+0 0 1 0 0 36 48 54 0.318472885885794
+0 0 1 0 0 36 48 56 0.426199910483233
+0 0 1 0 0 36 48 58 0.515299953858481
+0 0 1 0 0 36 48 60 0.581878916566594
+0 0 1 0 0 36 48 62 0.62302697845592
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 36 48 66 0.62302697845592
+0 0 1 0 0 36 48 68 0.581878916566594
+0 0 1 0 0 36 48 70 0.515299953858481
+0 0 1 0 0 36 48 72 0.426199910483233
+0 0 1 0 0 36 48 74 0.318472885885794
+0 0 1 0 0 36 48 76 0.196827067972688
+0 0 1 0 0 36 48 78 0.0665789627081145
+0 0 1 0 0 36 48 80 -0.0665789627081124
+0 0 1 0 0 36 48 82 -0.196827067972686
+0 0 1 0 0 36 48 84 -0.318472885885792
+0 0 1 0 0 36 48 86 -0.426199910483232
+0 0 1 0 0 36 48 88 -0.515299953858479
+0 0 1 0 0 36 48 90 -0.581878916566593
+0 0 1 0 0 36 48 92 -0.62302697845592
+0 0 1 0 0 36 48 94 -0.636945771771587
+0 0 1 0 0 36 48 96 -0.62302697845592
+0 0 1 0 0 36 48 98 -0.581878916566595
+0 0 1 0 0 36 48 100 -0.515299953858482
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.581878916566596
+0 0 0 0 0 36 48 4 0.636945771771587
+0 0 0 0 0 36 48 8 0.581878916566593
+0 0 0 0 0 36 48 12 0.42619991048323
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+0 0 0 0 0 36 48 64 0.636945771771587
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+0 0 0 0 0 36 48 72 0.426199910483233
+0 0 0 0 0 36 48 76 0.196827067972688
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+0 0 0 0 0 36 48 84 -0.318472885885792
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+0 0 0 0 0 36 48 100 -0.515299953858482
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+0 0 0 0 0 36 48 108 -0.0665789627081168
+0 0 0 0 0 36 48 112 0.196827067972684
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+0 0 0 0 0 36 48 128 0.581878916566596
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+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.182859447316177
+1 0 2 0 0 36 48 52 0.245643801244416
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+1 0 2 0 0 36 48 83 -0.305714876553033
+1 0 2 0 0 36 48 84 -0.362463799340455
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.232337107018868
+2 0 2 0 0 36 48 52 0.293071522772709
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+2 0 2 0 0 36 48 76 0.0951006802152019
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+2 0 2 0 0 36 48 82 -0.293244333001725
+2 0 2 0 0 36 48 83 -0.350568793144779
+2 0 2 0 0 36 48 84 -0.404256490972884
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -0.628552655248775
+2 0 1 0 0 36 48 36 -0.594053210778659
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+2 0 1 0 0 36 48 100 -0.448932909375275
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.279952111893795
+3 0 2 0 0 36 48 52 0.3382490782123
+3 0 2 0 0 36 48 53 0.393232345255641
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+3 0 2 0 0 36 48 83 -0.392885999087657
+3 0 2 0 0 36 48 84 -0.443089326490142
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.32602404527742
+4 0 2 0 0 36 48 52 0.381463519011613
+4 0 2 0 0 36 48 53 0.433054309923933
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+4 0 2 0 0 36 48 83 -0.432742869400785
+4 0 2 0 0 36 48 84 -0.479216183989874
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -0.603952191874012
+4 0 1 0 0 36 48 36 -0.548892104535778
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+4 0 1 0 0 36 48 100 -0.369418369953891
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 0.634847735200847
+4 0 0 0 0 36 48 4 0.604381951846527
+4 0 0 0 0 36 48 8 0.469413038380274
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+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.369587443098607
+5 0 2 0 0 36 48 52 0.421820541790477
+5 0 2 0 0 36 48 53 0.46996045780176
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+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.410973619219158
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+6 0 2 0 0 36 48 84 -0.541355614251067
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -0.56404500468142
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+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+7 0 2 0 0 36 48 66 0.45081051539665
+7 0 2 0 0 36 48 67 0.401305761481285
+7 0 2 0 0 36 48 68 0.347404242542955
+7 0 2 0 0 36 48 69 0.289696466484158
+7 0 2 0 0 36 48 70 0.228814737259622
+7 0 2 0 0 36 48 71 0.165426045783869
+7 0 2 0 0 36 48 72 0.100224929985292
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+7 0 2 0 0 36 48 83 -0.533528844610392
+7 0 2 0 0 36 48 84 -0.566994334380775
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 0.484892437889893
+8 0 2 0 0 36 48 52 0.525422968407688
+8 0 2 0 0 36 48 53 0.560773406238685
+8 0 2 0 0 36 48 54 0.588908721727004
+8 0 2 0 0 36 48 55 0.611264370167749
+8 0 2 0 0 36 48 56 0.626553333809615
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+8 0 2 0 0 36 48 62 0.574162266291851
+8 0 2 0 0 36 48 63 0.542192715899943
+8 0 2 0 0 36 48 64 0.504282895512788
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+8 0 2 0 0 36 48 67 0.359361896440874
+8 0 2 0 0 36 48 68 0.302422704438058
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+8 0 2 0 0 36 48 70 0.179264144037879
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+8 0 2 0 0 36 48 83 -0.560327936269043
+8 0 2 0 0 36 48 84 -0.589012391176558
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -0.50812143198451
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+8 0 1 0 0 36 48 98 -0.306499131785603
+8 0 1 0 0 36 48 100 -0.184433501239431
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 0.621361463077224
+8 0 0 0 0 36 48 4 0.508360375451162
+8 0 0 0 0 36 48 8 0.307459160600561
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+8 0 0 0 0 36 48 128 0.307459160600561
+8 0 0 0 0 36 48 132 0.0533954637033426
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 0.516964186045008
+9 0 2 0 0 36 48 52 0.55302708324319
+9 0 2 0 0 36 48 53 0.583723553491744
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+9 0 2 0 0 36 48 84 -0.606926190611094
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 0.545780821224189
+10 0 2 0 0 36 48 52 0.577099034391671
+10 0 2 0 0 36 48 53 0.60273034698985
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+10 0 2 0 0 36 48 84 -0.62089693069349
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -0.440215712565408
+10 0 1 0 0 36 48 36 -0.334569609426121
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+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.570720022387041
+11 0 2 0 0 36 48 52 0.597116654586575
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+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.591991082814849
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+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -0.358773165894115
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+12 0 1 0 0 36 48 100 0.0204108858108276
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 0.542663970499057
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 0.609124634295348
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 0.622276125686859
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+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -0.269958962469804
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+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 0.635826989009683
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -0.171541543883605
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+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 0.406861988467461
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 0.636205437546902
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 0.63229797075752
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+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 0.611817290212917
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+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 0.0338095630282553
+20 0 1 0 0 36 48 36 0.165695866849794
+20 0 1 0 0 36 48 38 0.302058424070421
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+20 0 1 0 0 36 48 58 0.334884012984824
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+20 0 1 0 0 36 48 96 0.171146825504394
+20 0 1 0 0 36 48 98 0.29296759525781
+20 0 1 0 0 36 48 100 0.404382643501672
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 0.228090403271795
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+20 0 0 0 0 36 48 96 0.171146825504394
+20 0 0 0 0 36 48 100 0.404382643501672
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+20 0 0 0 0 36 48 108 0.638331560568855
+20 0 0 0 0 36 48 112 0.596289674117497
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+20 0 0 0 0 36 48 128 -0.29104750334742
+20 0 0 0 0 36 48 132 -0.497312687543866
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 0.595460632754114
+21 0 2 0 0 36 48 52 0.568740638750186
+21 0 2 0 0 36 48 53 0.533960408252442
+21 0 2 0 0 36 48 54 0.49552469594431
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+21 0 2 0 0 36 48 63 -0.0324521089525642
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+21 0 2 0 0 36 48 83 -0.536188262811146
+21 0 2 0 0 36 48 84 -0.497418846386569
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 0.574981209208591
+22 0 2 0 0 36 48 52 0.543368345032831
+22 0 2 0 0 36 48 53 0.503507783567639
+22 0 2 0 0 36 48 54 0.461234405468379
+22 0 2 0 0 36 48 55 0.412044274695851
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+22 0 2 0 0 36 48 67 -0.333572449849914
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+22 0 2 0 0 36 48 82 -0.54349751594462
+22 0 2 0 0 36 48 83 -0.506050986031194
+22 0 2 0 0 36 48 84 -0.462891546778999
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 0.135071690480935
+22 0 1 0 0 36 48 36 0.261794221768533
+22 0 1 0 0 36 48 38 0.390431108100945
+22 0 1 0 0 36 48 40 0.479602223189791
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+22 0 1 0 0 36 48 96 0.26862865161921
+22 0 1 0 0 36 48 98 0.380814034714774
+22 0 1 0 0 36 48 100 0.479002776273453
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 0.550836844418093
+23 0 2 0 0 36 48 52 0.514536572929417
+23 0 2 0 0 36 48 53 0.469673701873706
+23 0 2 0 0 36 48 54 0.423896425359895
+23 0 2 0 0 36 48 55 0.370769458461255
+23 0 2 0 0 36 48 56 0.315283854885258
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+23 0 2 0 0 36 48 58 0.192963057861398
+23 0 2 0 0 36 48 59 0.128775390270353
+23 0 2 0 0 36 48 60 0.0625873523442642
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+23 0 2 0 0 36 48 83 -0.472637541894442
+23 0 2 0 0 36 48 84 -0.425496358259186
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 0.522829890802017
+24 0 2 0 0 36 48 52 0.482084033786055
+24 0 2 0 0 36 48 53 0.432708767823718
+24 0 2 0 0 36 48 54 0.383762014514687
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+24 0 2 0 0 36 48 56 0.269196789884849
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+24 0 2 0 0 36 48 83 -0.435929950421226
+24 0 2 0 0 36 48 84 -0.385003264005743
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 0.235487724822829
+24 0 1 0 0 36 48 36 0.353465326684183
+24 0 1 0 0 36 48 38 0.468381885469484
+24 0 1 0 0 36 48 40 0.540359126873652
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+24 0 1 0 0 36 48 58 0.142869004598368
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+24 0 1 0 0 36 48 98 0.460066733649372
+24 0 1 0 0 36 48 100 0.543167721423067
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 0.0250411599902423
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+24 0 0 0 0 36 48 128 -0.457995382209808
+24 0 0 0 0 36 48 132 -0.599835554460835
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.xl
new file mode 100644
index 000000000..efe727eca
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.xl
@@ -0,0 +1,1082 @@
+# HYDROTOY::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.255264089425492
+0 0 2 0 0 28 48 64 0.290590848056751
+0 0 2 0 0 29 48 64 0.322733832546656
+0 0 2 0 0 30 48 64 0.351340877630784
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+0 0 2 0 0 32 48 64 0.39673562493177
+0 0 2 0 0 33 48 64 0.413025972797738
+0 0 2 0 0 34 48 64 0.424791121674493
+0 0 2 0 0 35 48 64 0.431902170128924
+0 0 2 0 0 36 48 64 0.434281208026084
+0 0 2 0 0 37 48 64 0.431902170128924
+0 0 2 0 0 38 48 64 0.424791121674493
+0 0 2 0 0 39 48 64 0.413025972797738
+0 0 2 0 0 40 48 64 0.39673562493177
+0 0 2 0 0 41 48 64 0.376098558536783
+0 0 2 0 0 42 48 64 0.351340877630784
+0 0 2 0 0 43 48 64 0.322733832546656
+0 0 2 0 0 44 48 64 0.290590848056751
+0 0 2 0 0 45 48 64 0.255264089425492
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -0.134200273617741
+0 0 1 0 0 20 48 64 -0.045394747300986
+0 0 1 0 0 22 48 64 0.0453947473009874
+0 0 1 0 0 24 48 64 0.134200273617742
+0 0 1 0 0 26 48 64 0.217140604013042
+0 0 1 0 0 28 48 64 0.290590848056751
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+0 0 1 0 0 32 48 64 0.39673562493177
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+0 0 1 0 0 36 48 64 0.434281208026084
+0 0 1 0 0 38 48 64 0.424791121674493
+0 0 1 0 0 40 48 64 0.39673562493177
+0 0 1 0 0 42 48 64 0.351340877630784
+0 0 1 0 0 44 48 64 0.290590848056751
+0 0 1 0 0 46 48 64 0.217140604013042
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+0 0 1 0 0 50 48 64 0.0453947473009874
+0 0 1 0 0 52 48 64 -0.045394747300986
+0 0 1 0 0 54 48 64 -0.134200273617741
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.351340877630785
+0 0 0 0 0 4 48 64 -0.424791121674493
+0 0 0 0 0 8 48 64 -0.424791121674492
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+0 0 0 0 0 40 48 64 0.39673562493177
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+0 0 0 0 0 64 48 64 -0.424791121674492
+0 0 0 0 0 68 48 64 -0.424791121674493
+0 0 0 0 0 72 48 64 -0.351340877630785
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.283176568773253
+1 0 2 0 0 28 48 64 0.316055335886615
+1 0 2 0 0 29 48 64 0.345513711018404
+1 0 2 0 0 30 48 64 0.371122783814015
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+1 0 2 0 0 32 48 64 0.409906603429176
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+1 0 2 0 0 35 48 64 0.434174981509057
+1 0 2 0 0 36 48 64 0.432817513539377
+1 0 2 0 0 37 48 64 0.426718006318472
+1 0 2 0 0 38 48 64 0.415943287323858
+1 0 2 0 0 39 48 64 0.400611406631595
+1 0 2 0 0 40 48 64 0.38089034353495
+1 0 2 0 0 41 48 64 0.356996166128108
+1 0 2 0 0 42 48 64 0.329190664018915
+1 0 2 0 0 43 48 64 0.297778480107156
+1 0 2 0 0 44 48 64 0.263189710344193
+1 0 2 0 0 45 48 64 0.225627533511119
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.309402069630804
+2 0 2 0 0 28 48 64 0.33958273156523
+2 0 2 0 0 29 48 64 0.365966444549497
+2 0 2 0 0 30 48 64 0.388397912899832
+2 0 2 0 0 31 48 64 0.40658190776558
+2 0 2 0 0 32 48 64 0.420310063822659
+2 0 2 0 0 33 48 64 0.429433214864962
+2 0 2 0 0 34 48 64 0.433851405740526
+2 0 2 0 0 35 48 64 0.433516229825554
+2 0 2 0 0 36 48 64 0.42843135937751
+2 0 2 0 0 37 48 64 0.418652505301101
+2 0 2 0 0 38 48 64 0.404286806767943
+2 0 2 0 0 39 48 64 0.385491657377382
+2 0 2 0 0 40 48 64 0.36247298071928
+2 0 2 0 0 41 48 64 0.335482974232069
+2 0 2 0 0 42 48 64 0.304818858904521
+2 0 2 0 0 43 48 64 0.270820485587063
+2 0 2 0 0 44 48 64 0.233822195913786
+2 0 2 0 0 45 48 64 0.194272120195834
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -0.0655271005248178
+2 0 1 0 0 20 48 64 0.0251548699529308
+2 0 1 0 0 22 48 64 0.115554933383201
+2 0 1 0 0 24 48 64 0.200079272368088
+2 0 1 0 0 26 48 64 0.275859187063621
+2 0 1 0 0 28 48 64 0.33958273156523
+2 0 1 0 0 30 48 64 0.388397912899832
+2 0 1 0 0 32 48 64 0.420310063822659
+2 0 1 0 0 34 48 64 0.433851405740526
+2 0 1 0 0 36 48 64 0.42843135937751
+2 0 1 0 0 38 48 64 0.404286806767943
+2 0 1 0 0 40 48 64 0.36247298071928
+2 0 1 0 0 42 48 64 0.304818858904521
+2 0 1 0 0 44 48 64 0.233822195913786
+2 0 1 0 0 46 48 64 0.152610921783482
+2 0 1 0 0 48 48 64 0.064729818062789
+2 0 1 0 0 50 48 64 -0.0259802893153761
+2 0 1 0 0 52 48 64 -0.114784079645862
+2 0 1 0 0 54 48 64 -0.199254888577804
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.333361526506141
+3 0 2 0 0 28 48 64 0.360651945132077
+3 0 2 0 0 29 48 64 0.383952973983891
+3 0 2 0 0 30 48 64 0.403047827196931
+3 0 2 0 0 31 48 64 0.417753454940828
+3 0 2 0 0 32 48 64 0.42787574623986
+3 0 2 0 0 33 48 64 0.433310583841825
+3 0 2 0 0 34 48 64 0.433997941187885
+3 0 2 0 0 35 48 64 0.429930326270383
+3 0 2 0 0 36 48 64 0.421152304729559
+3 0 2 0 0 37 48 64 0.407760050406331
+3 0 2 0 0 38 48 64 0.389900291641575
+3 0 2 0 0 39 48 64 0.367768703689713
+3 0 2 0 0 40 48 64 0.341607812135605
+3 0 2 0 0 41 48 64 0.311704605139283
+3 0 2 0 0 42 48 64 0.278393190232293
+3 0 2 0 0 43 48 64 0.242041242350928
+3 0 2 0 0 44 48 64 0.203070278267531
+3 0 2 0 0 45 48 64 0.161812701517813
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.355235766996151
+4 0 2 0 0 28 48 64 0.379436673240662
+4 0 2 0 0 29 48 64 0.399348797331985
+4 0 2 0 0 30 48 64 0.414972413400282
+4 0 2 0 0 31 48 64 0.426105581045068
+4 0 2 0 0 32 48 64 0.432552334498561
+4 0 2 0 0 33 48 64 0.43426235850381
+4 0 2 0 0 34 48 64 0.431214120790632
+4 0 2 0 0 35 48 64 0.423441430879779
+4 0 2 0 0 36 48 64 0.411029426828164
+4 0 2 0 0 37 48 64 0.394114098362783
+4 0 2 0 0 38 48 64 0.372880774839434
+4 0 2 0 0 39 48 64 0.3475621119441
+4 0 2 0 0 40 48 64 0.318435926858005
+4 0 2 0 0 41 48 64 0.285822450403635
+4 0 2 0 0 42 48 64 0.250094542352784
+4 0 2 0 0 43 48 64 0.211635376807064
+4 0 2 0 0 44 48 64 0.170739966238095
+4 0 2 0 0 45 48 64 0.128041071204397
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0.0067368636882607
+4 0 1 0 0 20 48 64 0.0970575786127553
+4 0 1 0 0 22 48 64 0.182691419617382
+4 0 1 0 0 24 48 64 0.260571042573595
+4 0 1 0 0 26 48 64 0.327161478786347
+4 0 1 0 0 28 48 64 0.379436673240662
+4 0 1 0 0 30 48 64 0.414972413400282
+4 0 1 0 0 32 48 64 0.432552334498561
+4 0 1 0 0 34 48 64 0.431214120790632
+4 0 1 0 0 36 48 64 0.411029426828164
+4 0 1 0 0 38 48 64 0.372880774839434
+4 0 1 0 0 40 48 64 0.318435926858005
+4 0 1 0 0 42 48 64 0.250094542352784
+4 0 1 0 0 44 48 64 0.170739966238095
+4 0 1 0 0 46 48 64 0.0839528439105613
+4 0 1 0 0 48 48 64 -0.00648909154336562
+4 0 1 0 0 50 48 64 -0.0966107184904965
+4 0 1 0 0 52 48 64 -0.183131617804134
+4 0 1 0 0 54 48 64 -0.261016192773853
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.415891937557671
+4 0 0 0 0 4 48 64 -0.432015923162627
+4 0 0 0 0 8 48 64 -0.373440430911314
+4 0 0 0 0 12 48 64 -0.250293695555626
+4 0 0 0 0 16 48 64 -0.0838689063915308
+4 0 0 0 0 20 48 64 0.0970575786127553
+4 0 0 0 0 24 48 64 0.260571042573595
+4 0 0 0 0 28 48 64 0.379436673240662
+4 0 0 0 0 32 48 64 0.432552334498561
+4 0 0 0 0 36 48 64 0.411029426828164
+4 0 0 0 0 40 48 64 0.318435926858005
+4 0 0 0 0 44 48 64 0.170739966238095
+4 0 0 0 0 48 48 64 -0.00648909154336562
+4 0 0 0 0 52 48 64 -0.183131617804134
+4 0 0 0 0 56 48 64 -0.327856457689353
+4 0 0 0 0 60 48 64 -0.415891937557671
+4 0 0 0 0 64 48 64 -0.432015923162627
+4 0 0 0 0 68 48 64 -0.373440430911314
+4 0 0 0 0 72 48 64 -0.250293695555626
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.37457330761679
+5 0 2 0 0 28 48 64 0.395532448157436
+5 0 2 0 0 29 48 64 0.412049450282863
+5 0 2 0 0 30 48 64 0.424091414994913
+5 0 2 0 0 31 48 64 0.4315824828303
+5 0 2 0 0 32 48 64 0.434307743906934
+5 0 2 0 0 33 48 64 0.432282152192767
+5 0 2 0 0 34 48 64 0.42551867321535
+5 0 2 0 0 35 48 64 0.414093285823423
+5 0 2 0 0 36 48 64 0.398130985176334
+5 0 2 0 0 37 48 64 0.377806679667686
+5 0 2 0 0 38 48 64 0.353343069037434
+5 0 2 0 0 39 48 64 0.325008285579854
+5 0 2 0 0 40 48 64 0.293114403603077
+5 0 2 0 0 41 48 64 0.258012424736911
+5 0 2 0 0 42 48 64 0.220116031119362
+5 0 2 0 0 43 48 64 0.179806264318881
+5 0 2 0 0 44 48 64 0.137465698000383
+5 0 2 0 0 45 48 64 0.0936210045505963
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.391517582994284
+6 0 2 0 0 28 48 64 0.409074092460248
+6 0 2 0 0 29 48 64 0.421966449917568
+6 0 2 0 0 30 48 64 0.430343946508604
+6 0 2 0 0 31 48 64 0.434147542998717
+6 0 2 0 0 32 48 64 0.433129393605063
+6 0 2 0 0 33 48 64 0.427383419617106
+6 0 2 0 0 34 48 64 0.416949899559964
+6 0 2 0 0 35 48 64 0.401948897546469
+6 0 2 0 0 36 48 64 0.382543933581744
+6 0 2 0 0 37 48 64 0.358947753809314
+6 0 2 0 0 38 48 64 0.331419006632753
+6 0 2 0 0 39 48 64 0.300259585685352
+6 0 2 0 0 40 48 64 0.265815268912427
+6 0 2 0 0 41 48 64 0.228463521083312
+6 0 2 0 0 42 48 64 0.188660698999873
+6 0 2 0 0 43 48 64 0.146767542523327
+6 0 2 0 0 44 48 64 0.10303599416276
+6 0 2 0 0 45 48 64 0.0583345608669474
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.0771461572319428
+6 0 1 0 0 20 48 64 0.164605362121077
+6 0 1 0 0 22 48 64 0.244983780636046
+6 0 1 0 0 24 48 64 0.314024350992821
+6 0 1 0 0 26 48 64 0.36967136494162
+6 0 1 0 0 28 48 64 0.409074092460248
+6 0 1 0 0 30 48 64 0.430343946508604
+6 0 1 0 0 32 48 64 0.433129393605063
+6 0 1 0 0 34 48 64 0.416949899559964
+6 0 1 0 0 36 48 64 0.382543933581744
+6 0 1 0 0 38 48 64 0.331419006632753
+6 0 1 0 0 40 48 64 0.265815268912427
+6 0 1 0 0 42 48 64 0.188660698999873
+6 0 1 0 0 44 48 64 0.10303599416276
+6 0 1 0 0 46 48 64 0.0130134629970996
+6 0 1 0 0 48 48 64 -0.077522130263491
+6 0 1 0 0 50 48 64 -0.164618184676369
+6 0 1 0 0 52 48 64 -0.244894892163837
+6 0 1 0 0 54 48 64 -0.31425977339474
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.405711722968518
+7 0 2 0 0 28 48 64 0.41975904041542
+7 0 2 0 0 29 48 64 0.429033323321321
+7 0 2 0 0 30 48 64 0.433689662183315
+7 0 2 0 0 31 48 64 0.433783395208933
+7 0 2 0 0 32 48 64 0.429024375375599
+7 0 2 0 0 33 48 64 0.419599318484141
+7 0 2 0 0 34 48 64 0.405565319864247
+7 0 2 0 0 35 48 64 0.387090056552763
+7 0 2 0 0 36 48 64 0.364373268176164
+7 0 2 0 0 37 48 64 0.337664410638778
+7 0 2 0 0 38 48 64 0.30725654622162
+7 0 2 0 0 39 48 64 0.273483289221316
+7 0 2 0 0 40 48 64 0.236724164009264
+7 0 2 0 0 41 48 64 0.197376169649969
+7 0 2 0 0 42 48 64 0.155940546586053
+7 0 2 0 0 43 48 64 0.112739316901096
+7 0 2 0 0 44 48 64 0.0681314450654611
+7 0 2 0 0 45 48 64 0.0228784735318221
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.417268657032234
+8 0 2 0 0 28 48 64 0.427688147267513
+8 0 2 0 0 29 48 64 0.433200460796139
+8 0 2 0 0 30 48 64 0.434107556422177
+8 0 2 0 0 31 48 64 0.43049192038432
+8 0 2 0 0 32 48 64 0.422019543559196
+8 0 2 0 0 33 48 64 0.408982372488295
+8 0 2 0 0 34 48 64 0.391441159406557
+8 0 2 0 0 35 48 64 0.369616695178708
+8 0 2 0 0 36 48 64 0.343741214330307
+8 0 2 0 0 37 48 64 0.314099922724759
+8 0 2 0 0 38 48 64 0.281018734327645
+8 0 2 0 0 39 48 64 0.24486035896335
+8 0 2 0 0 40 48 64 0.206038766462716
+8 0 2 0 0 41 48 64 0.164960493436467
+8 0 2 0 0 42 48 64 0.12217454745716
+8 0 2 0 0 43 48 64 0.0779488163171648
+8 0 2 0 0 44 48 64 0.0325251872617414
+8 0 2 0 0 45 48 64 -0.0129742671169253
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.147468882292441
+8 0 1 0 0 20 48 64 0.229700892663699
+8 0 1 0 0 22 48 64 0.300732694945574
+8 0 1 0 0 24 48 64 0.358987854011449
+8 0 1 0 0 26 48 64 0.402249531828664
+8 0 1 0 0 28 48 64 0.427688147267513
+8 0 1 0 0 30 48 64 0.434107556422177
+8 0 1 0 0 32 48 64 0.422019543559196
+8 0 1 0 0 34 48 64 0.391441159406557
+8 0 1 0 0 36 48 64 0.343741214330307
+8 0 1 0 0 38 48 64 0.281018734327645
+8 0 1 0 0 40 48 64 0.206038766462716
+8 0 1 0 0 42 48 64 0.12217454745716
+8 0 1 0 0 44 48 64 0.0325251872617414
+8 0 1 0 0 46 48 64 -0.0582942915334041
+8 0 1 0 0 48 48 64 -0.146451373479217
+8 0 1 0 0 50 48 64 -0.228218142555362
+8 0 1 0 0 52 48 64 -0.301921392595625
+8 0 1 0 0 54 48 64 -0.360663721881204
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -0.436390709668035
+8 0 0 0 0 4 48 64 -0.393242459943245
+8 0 0 0 0 8 48 64 -0.282099016398671
+8 0 0 0 0 12 48 64 -0.122178090129659
+8 0 0 0 0 16 48 64 0.0588685378758739
+8 0 0 0 0 20 48 64 0.229700892663699
+8 0 0 0 0 24 48 64 0.358987854011449
+8 0 0 0 0 28 48 64 0.427688147267513
+8 0 0 0 0 32 48 64 0.422019543559196
+8 0 0 0 0 36 48 64 0.343741214330307
+8 0 0 0 0 40 48 64 0.206038766462716
+8 0 0 0 0 44 48 64 0.0325251872617414
+8 0 0 0 0 48 48 64 -0.146451373479217
+8 0 0 0 0 52 48 64 -0.301921392595625
+8 0 0 0 0 56 48 64 -0.404083041206084
+8 0 0 0 0 60 48 64 -0.436390709668035
+8 0 0 0 0 64 48 64 -0.393242459943245
+8 0 0 0 0 68 48 64 -0.282099016398671
+8 0 0 0 0 72 48 64 -0.122178090129659
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.425934883516877
+9 0 2 0 0 28 48 64 0.432669711612734
+9 0 2 0 0 29 48 64 0.434441189807956
+9 0 2 0 0 30 48 64 0.43159680365172
+9 0 2 0 0 31 48 64 0.424294191332907
+9 0 2 0 0 32 48 64 0.41216142147079
+9 0 2 0 0 33 48 64 0.395603947624351
+9 0 2 0 0 34 48 64 0.374671711622066
+9 0 2 0 0 35 48 64 0.349646103300171
+9 0 2 0 0 36 48 64 0.32078627833161
+9 0 2 0 0 37 48 64 0.288412673442137
+9 0 2 0 0 38 48 64 0.252882524808631
+9 0 2 0 0 39 48 64 0.214584036244235
+9 0 2 0 0 40 48 64 0.173967008140792
+9 0 2 0 0 41 48 64 0.131434509170246
+9 0 2 0 0 42 48 64 0.0875877416085126
+9 0 2 0 0 43 48 64 0.0426272774952725
+9 0 2 0 0 44 48 64 -0.00307270470850814
+9 0 2 0 0 45 48 64 -0.0485112621998974
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.431790493764246
+10 0 2 0 0 28 48 64 0.434767633919014
+10 0 2 0 0 29 48 64 0.432745568959535
+10 0 2 0 0 30 48 64 0.426175191604891
+10 0 2 0 0 31 48 64 0.415230372525705
+10 0 2 0 0 32 48 64 0.399515972420748
+10 0 2 0 0 33 48 64 0.379553593855065
+10 0 2 0 0 34 48 64 0.355368630971205
+10 0 2 0 0 35 48 64 0.32731204073914
+10 0 2 0 0 36 48 64 0.295662211288235
+10 0 2 0 0 37 48 64 0.260775003851313
+10 0 2 0 0 38 48 64 0.223037478621929
+10 0 2 0 0 39 48 64 0.182858298715126
+10 0 2 0 0 40 48 64 0.140725233342433
+10 0 2 0 0 41 48 64 0.0970223996362531
+10 0 2 0 0 42 48 64 0.0524097270246472
+10 0 2 0 0 43 48 64 0.00700954086728865
+10 0 2 0 0 44 48 64 -0.0388989223585846
+10 0 2 0 0 45 48 64 -0.0839638404447307
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.212244320883821
+10 0 1 0 0 20 48 64 0.287062795917972
+10 0 1 0 0 22 48 64 0.348423520218175
+10 0 1 0 0 24 48 64 0.394251255165844
+10 0 1 0 0 26 48 64 0.424022388841771
+10 0 1 0 0 28 48 64 0.434767633919014
+10 0 1 0 0 30 48 64 0.426175191604891
+10 0 1 0 0 32 48 64 0.399515972420748
+10 0 1 0 0 34 48 64 0.355368630971205
+10 0 1 0 0 36 48 64 0.295662211288235
+10 0 1 0 0 38 48 64 0.223037478621929
+10 0 1 0 0 40 48 64 0.140725233342433
+10 0 1 0 0 42 48 64 0.0524097270246472
+10 0 1 0 0 44 48 64 -0.0388989223585846
+10 0 1 0 0 46 48 64 -0.128045100755805
+10 0 1 0 0 48 48 64 -0.211433749093626
+10 0 1 0 0 50 48 64 -0.285728283735104
+10 0 1 0 0 52 48 64 -0.349528713853188
+10 0 1 0 0 54 48 64 -0.396349827924696
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0.43469289935829
+11 0 2 0 0 28 48 64 0.433906970883044
+11 0 2 0 0 29 48 64 0.428126386298831
+11 0 2 0 0 30 48 64 0.417879967187048
+11 0 2 0 0 31 48 64 0.403359566675564
+11 0 2 0 0 32 48 64 0.384168162779348
+11 0 2 0 0 33 48 64 0.360938311915024
+11 0 2 0 0 34 48 64 0.33366021308767
+11 0 2 0 0 35 48 64 0.30276379711669
+11 0 2 0 0 36 48 64 0.26853694471596
+11 0 2 0 0 37 48 64 0.231372030055151
+11 0 2 0 0 38 48 64 0.191684385083409
+11 0 2 0 0 39 48 64 0.149896259434438
+11 0 2 0 0 40 48 64 0.106536429933995
+11 0 2 0 0 41 48 64 0.0619529033342201
+11 0 2 0 0 42 48 64 0.0168738817225296
+11 0 2 0 0 43 48 64 -0.0286682371224603
+11 0 2 0 0 44 48 64 -0.0742314704839083
+11 0 2 0 0 45 48 64 -0.118621478665806
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0.434686088975731
+12 0 2 0 0 28 48 64 0.430112703605927
+12 0 2 0 0 29 48 64 0.420612272272028
+12 0 2 0 0 30 48 64 0.406766263928929
+12 0 2 0 0 31 48 64 0.388759574345379
+12 0 2 0 0 32 48 64 0.3662214116364
+12 0 2 0 0 33 48 64 0.339881815733634
+12 0 2 0 0 34 48 64 0.309690705507928
+12 0 2 0 0 35 48 64 0.276165246768692
+12 0 2 0 0 36 48 64 0.239591551821094
+12 0 2 0 0 37 48 64 0.200400475697186
+12 0 2 0 0 38 48 64 0.159033857048315
+12 0 2 0 0 39 48 64 0.11591859022218
+12 0 2 0 0 40 48 64 0.0716286855175668
+12 0 2 0 0 41 48 64 0.0264579146027253
+12 0 2 0 0 42 48 64 -0.018783713478881
+12 0 2 0 0 43 48 64 -0.0641699646928951
+12 0 2 0 0 44 48 64 -0.109311014152672
+12 0 2 0 0 45 48 64 -0.152715859705893
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.273204231463666
+12 0 1 0 0 20 48 64 0.338451529991446
+12 0 1 0 0 22 48 64 0.386740685172405
+12 0 1 0 0 24 48 64 0.418874863572788
+12 0 1 0 0 26 48 64 0.434405690317224
+12 0 1 0 0 28 48 64 0.430112703605927
+12 0 1 0 0 30 48 64 0.406766263928929
+12 0 1 0 0 32 48 64 0.3662214116364
+12 0 1 0 0 34 48 64 0.309690705507928
+12 0 1 0 0 36 48 64 0.239591551821094
+12 0 1 0 0 38 48 64 0.159033857048315
+12 0 1 0 0 40 48 64 0.0716286855175668
+12 0 1 0 0 42 48 64 -0.018783713478881
+12 0 1 0 0 44 48 64 -0.109311014152672
+12 0 1 0 0 46 48 64 -0.194356045439442
+12 0 1 0 0 48 48 64 -0.270743823780805
+12 0 1 0 0 50 48 64 -0.33566176024742
+12 0 1 0 0 52 48 64 -0.389277657685296
+12 0 1 0 0 54 48 64 -0.422543806214431
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -0.410565567330891
+12 0 0 0 0 4 48 64 -0.31242836501202
+12 0 0 0 0 8 48 64 -0.160269949080453
+12 0 0 0 0 12 48 64 0.0195994917971793
+12 0 0 0 0 16 48 64 0.196055572130858
+12 0 0 0 0 20 48 64 0.338451529991446
+12 0 0 0 0 24 48 64 0.418874863572788
+12 0 0 0 0 28 48 64 0.430112703605927
+12 0 0 0 0 32 48 64 0.3662214116364
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+12 0 0 0 0 40 48 64 0.0716286855175668
+12 0 0 0 0 44 48 64 -0.109311014152672
+12 0 0 0 0 48 48 64 -0.270743823780805
+12 0 0 0 0 52 48 64 -0.389277657685296
+12 0 0 0 0 56 48 64 -0.437697078001543
+12 0 0 0 0 60 48 64 -0.410565567330891
+12 0 0 0 0 64 48 64 -0.31242836501202
+12 0 0 0 0 68 48 64 -0.160269949080453
+12 0 0 0 0 72 48 64 0.0195994917971793
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0.431744712888967
+13 0 2 0 0 28 48 64 0.423428954257859
+13 0 2 0 0 29 48 64 0.410253746253536
+13 0 2 0 0 30 48 64 0.392908122775334
+13 0 2 0 0 31 48 64 0.37152654051524
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+13 0 2 0 0 34 48 64 0.283619661008409
+13 0 2 0 0 35 48 64 0.247693926382508
+13 0 2 0 0 36 48 64 0.20901926388887
+13 0 2 0 0 37 48 64 0.168067539675316
+13 0 2 0 0 38 48 64 0.125304949164543
+13 0 2 0 0 39 48 64 0.0811520401929853
+13 0 2 0 0 40 48 64 0.036233948326642
+13 0 2 0 0 41 48 64 -0.00922871894071429
+13 0 2 0 0 42 48 64 -0.0543251544263952
+13 0 2 0 0 43 48 64 -0.0992606083259572
+13 0 2 0 0 44 48 64 -0.14342245574997
+13 0 2 0 0 45 48 64 -0.185555210448071
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0.425872093771338
+14 0 2 0 0 28 48 64 0.413841015448775
+14 0 2 0 0 29 48 64 0.397116367921888
+14 0 2 0 0 30 48 64 0.376396973671367
+14 0 2 0 0 31 48 64 0.351774442969827
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+14 0 2 0 0 34 48 64 0.255621302677836
+14 0 2 0 0 35 48 64 0.21754012775328
+14 0 2 0 0 36 48 64 0.177024531996661
+14 0 2 0 0 37 48 64 0.134589782277612
+14 0 2 0 0 38 48 64 0.0907238308169727
+14 0 2 0 0 39 48 64 0.045828082883039
+14 0 2 0 0 40 48 64 0.000587086508150376
+14 0 2 0 0 41 48 64 -0.0448721770746427
+14 0 2 0 0 42 48 64 -0.0895117334515002
+14 0 2 0 0 43 48 64 -0.133708182182963
+14 0 2 0 0 44 48 64 -0.176804161147436
+14 0 2 0 0 45 48 64 -0.217368398518699
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.325463850480568
+14 0 1 0 0 20 48 64 0.379509377595187
+14 0 1 0 0 22 48 64 0.414651076841092
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+14 0 1 0 0 34 48 64 0.255621302677836
+14 0 1 0 0 36 48 64 0.177024531996661
+14 0 1 0 0 38 48 64 0.0907238308169727
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+14 0 1 0 0 42 48 64 -0.0895117334515002
+14 0 1 0 0 44 48 64 -0.176804161147436
+14 0 1 0 0 46 48 64 -0.255441932490912
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+14 0 1 0 0 50 48 64 -0.376699475627783
+14 0 1 0 0 52 48 64 -0.417719557564131
+14 0 1 0 0 54 48 64 -0.436878282706566
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0.417165312341414
+15 0 2 0 0 28 48 64 0.401510978360074
+15 0 2 0 0 29 48 64 0.381286949216041
+15 0 2 0 0 30 48 64 0.357342624381128
+15 0 2 0 0 31 48 64 0.329634433232424
+15 0 2 0 0 32 48 64 0.298082967889528
+15 0 2 0 0 33 48 64 0.263538151337431
+15 0 2 0 0 34 48 64 0.225883824850679
+15 0 2 0 0 35 48 64 0.185905956018735
+15 0 2 0 0 36 48 64 0.143822080275368
+15 0 2 0 0 37 48 64 0.100191972889086
+15 0 2 0 0 38 48 64 0.0555225130520526
+15 0 2 0 0 39 48 64 0.0101816802711077
+15 0 2 0 0 40 48 64 -0.0350748603746199
+15 0 2 0 0 41 48 64 -0.0802375018611138
+15 0 2 0 0 42 48 64 -0.1241054171134
+15 0 2 0 0 43 48 64 -0.167283229526431
+15 0 2 0 0 44 48 64 -0.20876881126166
+15 0 2 0 0 45 48 64 -0.247500765822712
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0.405582401660548
+16 0 2 0 0 28 48 64 0.386384812597958
+16 0 2 0 0 29 48 64 0.362867326652729
+16 0 2 0 0 30 48 64 0.335871535108534
+16 0 2 0 0 31 48 64 0.305254020379797
+16 0 2 0 0 32 48 64 0.271116892297903
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+16 0 2 0 0 34 48 64 0.194608520287155
+16 0 2 0 0 35 48 64 0.153004266977856
+16 0 2 0 0 36 48 64 0.109635861952211
+16 0 2 0 0 37 48 64 0.0651058140589195
+16 0 2 0 0 38 48 64 0.0199375914911922
+16 0 2 0 0 39 48 64 -0.0255498856463214
+16 0 2 0 0 40 48 64 -0.070513448318202
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+16 0 2 0 0 42 48 64 -0.157870236643364
+16 0 2 0 0 43 48 64 -0.199761482881125
+16 0 2 0 0 44 48 64 -0.239545512453778
+16 0 2 0 0 45 48 64 -0.276173411569371
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.370565637293802
+16 0 1 0 0 20 48 64 0.411688911158841
+16 0 1 0 0 22 48 64 0.431373571659464
+16 0 1 0 0 24 48 64 0.433949641908352
+16 0 1 0 0 26 48 64 0.420201152903132
+16 0 1 0 0 28 48 64 0.386384812597958
+16 0 1 0 0 30 48 64 0.335871535108534
+16 0 1 0 0 32 48 64 0.271116892297903
+16 0 1 0 0 34 48 64 0.194608520287155
+16 0 1 0 0 36 48 64 0.109635861952211
+16 0 1 0 0 38 48 64 0.0199375914911922
+16 0 1 0 0 40 48 64 -0.070513448318202
+16 0 1 0 0 42 48 64 -0.157870236643364
+16 0 1 0 0 44 48 64 -0.239545512453778
+16 0 1 0 0 46 48 64 -0.309668406813121
+16 0 1 0 0 48 48 64 -0.36632822189475
+16 0 1 0 0 50 48 64 -0.407793010675061
+16 0 1 0 0 52 48 64 -0.436003968998967
+16 0 1 0 0 54 48 64 -0.440059138064365
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -0.341015484805846
+16 0 0 0 0 4 48 64 -0.197963326722892
+16 0 0 0 0 8 48 64 -0.0206895262313792
+16 0 0 0 0 12 48 64 0.160152245544902
+16 0 0 0 0 16 48 64 0.313180251951943
+16 0 0 0 0 20 48 64 0.411688911158841
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+16 0 0 0 0 28 48 64 0.386384812597958
+16 0 0 0 0 32 48 64 0.271116892297903
+16 0 0 0 0 36 48 64 0.109635861952211
+16 0 0 0 0 40 48 64 -0.070513448318202
+16 0 0 0 0 44 48 64 -0.239545512453778
+16 0 0 0 0 48 48 64 -0.36632822189475
+16 0 0 0 0 52 48 64 -0.436003968998967
+16 0 0 0 0 56 48 64 -0.425003094521544
+16 0 0 0 0 60 48 64 -0.341015484805846
+16 0 0 0 0 64 48 64 -0.197963326722892
+16 0 0 0 0 68 48 64 -0.0206895262313792
+16 0 0 0 0 72 48 64 0.160152245544902
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0.39134304272441
+17 0 2 0 0 28 48 64 0.368738061312764
+17 0 2 0 0 29 48 64 0.341980371159684
+17 0 2 0 0 30 48 64 0.312127396603957
+17 0 2 0 0 31 48 64 0.278796165685139
+17 0 2 0 0 32 48 64 0.242317355921034
+17 0 2 0 0 33 48 64 0.203392000371337
+17 0 2 0 0 34 48 64 0.162008612297351
+17 0 2 0 0 35 48 64 0.119057379644057
+17 0 2 0 0 36 48 64 0.0746978142392145
+17 0 2 0 0 37 48 64 0.0295684519114299
+17 0 2 0 0 38 48 64 -0.0157910669659711
+17 0 2 0 0 39 48 64 -0.0611281841988074
+17 0 2 0 0 40 48 64 -0.105489823808469
+17 0 2 0 0 41 48 64 -0.149197699335967
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+17 0 2 0 0 43 48 64 -0.230922381186913
+17 0 2 0 0 44 48 64 -0.268497054390684
+17 0 2 0 0 45 48 64 -0.302789223238481
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0.374359012084731
+18 0 2 0 0 28 48 64 0.348478876787713
+18 0 2 0 0 29 48 64 0.318764230760094
+18 0 2 0 0 30 48 64 0.286268970692994
+18 0 2 0 0 31 48 64 0.250438285921286
+18 0 2 0 0 32 48 64 0.211879588068709
+18 0 2 0 0 33 48 64 0.171131067107516
+18 0 2 0 0 34 48 64 0.128307691794098
+18 0 2 0 0 35 48 64 0.084295474438677
+18 0 2 0 0 36 48 64 0.0392463211286308
+18 0 2 0 0 37 48 64 -0.00617928811521711
+18 0 2 0 0 38 48 64 -0.0514217798749837
+18 0 2 0 0 39 48 64 -0.0963148730747388
+18 0 2 0 0 40 48 64 -0.139766160762042
+18 0 2 0 0 41 48 64 -0.182328950460255
+18 0 2 0 0 42 48 64 -0.221993404529099
+18 0 2 0 0 43 48 64 -0.260553247385862
+18 0 2 0 0 44 48 64 -0.295835840516749
+18 0 2 0 0 45 48 64 -0.327552806878809
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.404719291942541
+18 0 1 0 0 20 48 64 0.432037777584612
+18 0 1 0 0 22 48 64 0.436473688812863
+18 0 1 0 0 24 48 64 0.424052444708008
+18 0 1 0 0 26 48 64 0.395991157203256
+18 0 1 0 0 28 48 64 0.348478876787713
+18 0 1 0 0 30 48 64 0.286268970692994
+18 0 1 0 0 32 48 64 0.211879588068709
+18 0 1 0 0 34 48 64 0.128307691794098
+18 0 1 0 0 36 48 64 0.0392463211286308
+18 0 1 0 0 38 48 64 -0.0514217798749837
+18 0 1 0 0 40 48 64 -0.139766160762042
+18 0 1 0 0 42 48 64 -0.221993404529099
+18 0 1 0 0 44 48 64 -0.295835840516749
+18 0 1 0 0 46 48 64 -0.355600155166712
+18 0 1 0 0 48 48 64 -0.400125011790563
+18 0 1 0 0 50 48 64 -0.428108459216808
+18 0 1 0 0 52 48 64 -0.442257297660652
+18 0 1 0 0 54 48 64 -0.431457305400707
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0.354966307839996
+19 0 2 0 0 28 48 64 0.325988824939209
+19 0 2 0 0 29 48 64 0.293377251719112
+19 0 2 0 0 30 48 64 0.258470110455077
+19 0 2 0 0 31 48 64 0.220371211714757
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+19 0 2 0 0 34 48 64 0.0937377145795731
+19 0 2 0 0 35 48 64 0.0489546386973851
+19 0 2 0 0 36 48 64 0.00352433304142839
+19 0 2 0 0 37 48 64 -0.0418949407460513
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+19 0 2 0 0 39 48 64 -0.130873047225217
+19 0 2 0 0 40 48 64 -0.17310758108868
+19 0 2 0 0 41 48 64 -0.21425709196197
+19 0 2 0 0 42 48 64 -0.251910373882237
+19 0 2 0 0 43 48 64 -0.288447701840928
+19 0 2 0 0 44 48 64 -0.320996943265514
+19 0 2 0 0 45 48 64 -0.349947857088531
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0.333035136935545
+20 0 2 0 0 28 48 64 0.301140717128451
+20 0 2 0 0 29 48 64 0.265991967270471
+20 0 2 0 0 30 48 64 0.228917270389827
+20 0 2 0 0 31 48 64 0.188798026696519
+20 0 2 0 0 32 48 64 0.146921833370521
+20 0 2 0 0 33 48 64 0.103319993073167
+20 0 2 0 0 34 48 64 0.0585366010503266
+20 0 2 0 0 35 48 64 0.0132746059869486
+20 0 2 0 0 36 48 64 -0.0322228453468568
+20 0 2 0 0 37 48 64 -0.0773366340282938
+20 0 2 0 0 38 48 64 -0.121423816542102
+20 0 2 0 0 39 48 64 -0.164568717405545
+20 0 2 0 0 40 48 64 -0.205284530724741
+20 0 2 0 0 41 48 64 -0.244760579737884
+20 0 2 0 0 42 48 64 -0.280120392333995
+20 0 2 0 0 43 48 64 -0.314412017139013
+20 0 2 0 0 44 48 64 -0.344168671825799
+20 0 2 0 0 45 48 64 -0.37015040110848
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.429121571856526
+20 0 1 0 0 20 48 64 0.441540094571765
+20 0 1 0 0 22 48 64 0.429791252849462
+20 0 1 0 0 24 48 64 0.402815901021404
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+20 0 1 0 0 28 48 64 0.301140717128451
+20 0 1 0 0 30 48 64 0.228917270389827
+20 0 1 0 0 32 48 64 0.146921833370521
+20 0 1 0 0 34 48 64 0.0585366010503266
+20 0 1 0 0 36 48 64 -0.0322228453468568
+20 0 1 0 0 38 48 64 -0.121423816542102
+20 0 1 0 0 40 48 64 -0.205284530724741
+20 0 1 0 0 42 48 64 -0.280120392333995
+20 0 1 0 0 44 48 64 -0.344168671825799
+20 0 1 0 0 46 48 64 -0.392039937043213
+20 0 1 0 0 48 48 64 -0.423343710230766
+20 0 1 0 0 50 48 64 -0.437132154082352
+20 0 1 0 0 52 48 64 -0.437104074992237
+20 0 1 0 0 54 48 64 -0.411201648572005
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -0.234954485803384
+20 0 0 0 0 4 48 64 -0.0617960557254878
+20 0 0 0 0 8 48 64 0.121999896650796
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+20 0 0 0 0 20 48 64 0.441540094571765
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+20 0 0 0 0 28 48 64 0.301140717128451
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+20 0 0 0 0 36 48 64 -0.0322228453468568
+20 0 0 0 0 40 48 64 -0.205284530724741
+20 0 0 0 0 44 48 64 -0.344168671825799
+20 0 0 0 0 48 48 64 -0.423343710230766
+20 0 0 0 0 52 48 64 -0.437104074992237
+20 0 0 0 0 56 48 64 -0.367140549038673
+20 0 0 0 0 60 48 64 -0.234954485803384
+20 0 0 0 0 64 48 64 -0.0617960557254878
+20 0 0 0 0 68 48 64 0.121999896650796
+20 0 0 0 0 72 48 64 0.284668319445805
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0.309003036179233
+21 0 2 0 0 28 48 64 0.274411583057177
+21 0 2 0 0 29 48 64 0.236798238040089
+21 0 2 0 0 30 48 64 0.19780916016644
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+21 0 2 0 0 32 48 64 0.112838548637857
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+21 0 2 0 0 36 48 64 -0.0677500155041685
+21 0 2 0 0 37 48 64 -0.112265355406333
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+21 0 2 0 0 39 48 64 -0.197172429622631
+21 0 2 0 0 40 48 64 -0.236075356789777
+21 0 2 0 0 41 48 64 -0.273625710710329
+21 0 2 0 0 42 48 64 -0.306432218906413
+21 0 2 0 0 43 48 64 -0.338263495433084
+21 0 2 0 0 44 48 64 -0.364876474386827
+21 0 2 0 0 45 48 64 -0.387744573082834
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0.282708767327214
+22 0 2 0 0 28 48 64 0.245642412824808
+22 0 2 0 0 29 48 64 0.205996618821947
+22 0 2 0 0 30 48 64 0.165354262120644
+22 0 2 0 0 31 48 64 0.121998781740226
+22 0 2 0 0 32 48 64 0.0779870335068694
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+22 0 2 0 0 35 48 64 -0.0581403262459008
+22 0 2 0 0 36 48 64 -0.102814638426952
+22 0 2 0 0 37 48 64 -0.146447039028812
+22 0 2 0 0 38 48 64 -0.188167562069166
+22 0 2 0 0 39 48 64 -0.228461029873022
+22 0 2 0 0 40 48 64 -0.265268862208556
+22 0 2 0 0 41 48 64 -0.300649507103266
+22 0 2 0 0 42 48 64 -0.330669453645467
+22 0 2 0 0 43 48 64 -0.359838203100725
+22 0 2 0 0 44 48 64 -0.383278534885523
+22 0 2 0 0 45 48 64 -0.402867304914504
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0.441489450239795
+22 0 1 0 0 20 48 64 0.438977531893734
+22 0 1 0 0 22 48 64 0.411534861160887
+22 0 1 0 0 24 48 64 0.370834190313155
+22 0 1 0 0 26 48 64 0.316537217292104
+22 0 1 0 0 28 48 64 0.245642412824808
+22 0 1 0 0 30 48 64 0.165354262120644
+22 0 1 0 0 32 48 64 0.0779870335068694
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+22 0 1 0 0 36 48 64 -0.102814638426952
+22 0 1 0 0 38 48 64 -0.188167562069166
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+22 0 1 0 0 42 48 64 -0.330669453645467
+22 0 1 0 0 44 48 64 -0.383278534885523
+22 0 1 0 0 46 48 64 -0.418055603086187
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+22 0 1 0 0 50 48 64 -0.434594788445937
+22 0 1 0 0 52 48 64 -0.420430740982592
+22 0 1 0 0 54 48 64 -0.380464024657473
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0.254673107135569
+23 0 2 0 0 28 48 64 0.215392861039694
+23 0 2 0 0 29 48 64 0.17380001765135
+23 0 2 0 0 30 48 64 0.131770403998458
+23 0 2 0 0 31 48 64 0.0872270146809531
+23 0 2 0 0 32 48 64 0.042598850485338
+23 0 2 0 0 33 48 64 -0.0031493215648717
+23 0 2 0 0 34 48 64 -0.0484404569548616
+23 0 2 0 0 35 48 64 -0.0933986381127961
+23 0 2 0 0 36 48 64 -0.137179270829701
+23 0 2 0 0 37 48 64 -0.179654266927552
+23 0 2 0 0 38 48 64 -0.219747665895254
+23 0 2 0 0 39 48 64 -0.258219590745416
+23 0 2 0 0 40 48 64 -0.292666508058862
+23 0 2 0 0 41 48 64 -0.325642874054789
+23 0 2 0 0 42 48 64 -0.352673003086396
+23 0 2 0 0 43 48 64 -0.37898825404383
+23 0 2 0 0 44 48 64 -0.399001903274136
+23 0 2 0 0 45 48 64 -0.41521599983112
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0.22471460798475
+24 0 2 0 0 28 48 64 0.183476376165719
+24 0 2 0 0 29 48 64 0.140427108501525
+24 0 2 0 0 30 48 64 0.0972825620515073
+24 0 2 0 0 31 48 64 0.0518537898277709
+24 0 2 0 0 32 48 64 0.00690875650120941
+24 0 2 0 0 33 48 64 -0.0389542765491126
+24 0 2 0 0 34 48 64 -0.0837588325941442
+24 0 2 0 0 35 48 64 -0.128046334784961
+24 0 2 0 0 36 48 64 -0.170613647350069
+24 0 2 0 0 37 48 64 -0.211667445614042
+24 0 2 0 0 38 48 64 -0.249846478510366
+24 0 2 0 0 39 48 64 -0.286243494024629
+24 0 2 0 0 40 48 64 -0.318084150236597
+24 0 2 0 0 41 48 64 -0.348433626203445
+24 0 2 0 0 42 48 64 -0.372300886393011
+24 0 2 0 0 43 48 64 -0.395588984743687
+24 0 2 0 0 44 48 64 -0.412170896235248
+24 0 2 0 0 45 48 64 -0.424882775982963
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0.4425452500337
+24 0 1 0 0 20 48 64 0.424756199626041
+24 0 1 0 0 22 48 64 0.38217622547823
+24 0 1 0 0 24 48 64 0.328969239292402
+24 0 1 0 0 26 48 64 0.263377174349093
+24 0 1 0 0 28 48 64 0.183476376165719
+24 0 1 0 0 30 48 64 0.0972825620515073
+24 0 1 0 0 32 48 64 0.00690875650120941
+24 0 1 0 0 34 48 64 -0.0837588325941442
+24 0 1 0 0 36 48 64 -0.170613647350069
+24 0 1 0 0 38 48 64 -0.249846478510366
+24 0 1 0 0 40 48 64 -0.318084150236597
+24 0 1 0 0 42 48 64 -0.372300886393011
+24 0 1 0 0 44 48 64 -0.412170896235248
+24 0 1 0 0 46 48 64 -0.432995425743506
+24 0 1 0 0 48 48 64 -0.435943918990766
+24 0 1 0 0 50 48 64 -0.420572845312688
+24 0 1 0 0 52 48 64 -0.392275148968761
+24 0 1 0 0 54 48 64 -0.33878530207659
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -0.103465582184932
+24 0 0 0 0 4 48 64 0.0818160617264103
+24 0 0 0 0 8 48 64 0.252779366311182
+24 0 0 0 0 12 48 64 0.379968044853965
+24 0 0 0 0 16 48 64 0.44077700077253
+24 0 0 0 0 20 48 64 0.424756199626041
+24 0 0 0 0 24 48 64 0.328969239292402
+24 0 0 0 0 28 48 64 0.183476376165719
+24 0 0 0 0 32 48 64 0.00690875650120941
+24 0 0 0 0 36 48 64 -0.170613647350069
+24 0 0 0 0 40 48 64 -0.318084150236597
+24 0 0 0 0 44 48 64 -0.412170896235248
+24 0 0 0 0 48 48 64 -0.435943918990766
+24 0 0 0 0 52 48 64 -0.392275148968761
+24 0 0 0 0 56 48 64 -0.270005707332115
+24 0 0 0 0 60 48 64 -0.103465582184932
+24 0 0 0 0 64 48 64 0.0818160617264103
+24 0 0 0 0 68 48 64 0.252779366311182
+24 0 0 0 0 72 48 64 0.379968044853965
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.yl
new file mode 100644
index 000000000..a807badd8
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.yl
@@ -0,0 +1,1397 @@
+# HYDROTOY::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.347660017183331
+0 0 2 0 0 36 40 64 0.365340600494136
+0 0 2 0 0 36 41 64 0.38115949184838
+0 0 2 0 0 36 42 64 0.395036081801737
+0 0 2 0 0 36 43 64 0.406899658432603
+0 0 2 0 0 36 44 64 0.416689767673843
+0 0 2 0 0 36 45 64 0.424356521372857
+0 0 2 0 0 36 46 64 0.429860851510172
+0 0 2 0 0 36 47 64 0.433174709281113
+0 0 2 0 0 36 48 64 0.434281208026084
+0 0 2 0 0 36 49 64 0.433174709281113
+0 0 2 0 0 36 50 64 0.429860851510172
+0 0 2 0 0 36 51 64 0.424356521372857
+0 0 2 0 0 36 52 64 0.416689767673843
+0 0 2 0 0 36 53 64 0.406899658432603
+0 0 2 0 0 36 54 64 0.395036081801737
+0 0 2 0 0 36 55 64 0.38115949184838
+0 0 2 0 0 36 56 64 0.365340600494136
+0 0 2 0 0 36 57 64 0.347660017183331
+0 0 2 0 0 36 58 64 0.328207838115765
+0 0 2 0 0 36 59 64 0.307083187137129
+0 0 2 0 0 36 60 64 0.284393710626605
+0 0 2 0 0 36 61 64 0.260255028955599
+0 0 2 0 0 36 62 64 0.234790147312825
+0 0 2 0 0 36 63 64 0.208128828898062
+0 0 2 0 0 36 64 64 0.180406933678629
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -1.99843460817814e-15
+0 0 1 0 0 36 28 64 0.0618046598853572
+0 0 1 0 0 36 30 64 0.122351155125372
+0 0 1 0 0 36 32 64 0.180406933678629
+0 0 1 0 0 36 34 64 0.234790147312825
+0 0 1 0 0 36 36 64 0.284393710626606
+0 0 1 0 0 36 38 64 0.328207838115765
+0 0 1 0 0 36 40 64 0.365340600494136
+0 0 1 0 0 36 42 64 0.395036081801737
+0 0 1 0 0 36 44 64 0.416689767673843
+0 0 1 0 0 36 46 64 0.429860851510172
+0 0 1 0 0 36 48 64 0.434281208026084
+0 0 1 0 0 36 50 64 0.429860851510172
+0 0 1 0 0 36 52 64 0.416689767673843
+0 0 1 0 0 36 54 64 0.395036081801737
+0 0 1 0 0 36 56 64 0.365340600494136
+0 0 1 0 0 36 58 64 0.328207838115765
+0 0 1 0 0 36 60 64 0.284393710626605
+0 0 1 0 0 36 62 64 0.234790147312825
+0 0 1 0 0 36 64 64 0.180406933678629
+0 0 1 0 0 36 66 64 0.122351155125372
+0 0 1 0 0 36 68 64 0.0618046598853571
+0 0 1 0 0 36 70 64 -2.09486440744066e-15
+0 0 1 0 0 36 72 64 -0.0618046598853614
+0 0 1 0 0 36 74 64 -0.122351155125376
+0 0 1 0 0 36 76 64 -0.180406933678633
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.416689767673842
+0 0 0 0 0 36 4 64 -0.434281208026084
+0 0 0 0 0 36 8 64 -0.416689767673844
+0 0 0 0 0 36 12 64 -0.365340600494138
+0 0 0 0 0 36 16 64 -0.284393710626609
+0 0 0 0 0 36 20 64 -0.180406933678633
+0 0 0 0 0 36 24 64 -0.0618046598853613
+0 0 0 0 0 36 28 64 0.0618046598853572
+0 0 0 0 0 36 32 64 0.180406933678629
+0 0 0 0 0 36 36 64 0.284393710626606
+0 0 0 0 0 36 40 64 0.365340600494136
+0 0 0 0 0 36 44 64 0.416689767673843
+0 0 0 0 0 36 48 64 0.434281208026084
+0 0 0 0 0 36 52 64 0.416689767673843
+0 0 0 0 0 36 56 64 0.365340600494136
+0 0 0 0 0 36 60 64 0.284393710626605
+0 0 0 0 0 36 64 64 0.180406933678629
+0 0 0 0 0 36 68 64 0.0618046598853571
+0 0 0 0 0 36 72 64 -0.0618046598853614
+0 0 0 0 0 36 76 64 -0.180406933678633
+0 0 0 0 0 36 80 64 -0.284393710626609
+0 0 0 0 0 36 84 64 -0.365340600494138
+0 0 0 0 0 36 88 64 -0.416689767673844
+0 0 0 0 0 36 92 64 -0.434281208026084
+0 0 0 0 0 36 96 64 -0.416689767673842
+0 0 0 0 0 36 100 64 -0.365340600494133
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.367813566414569
+1 0 2 0 0 36 40 64 0.38335316623265
+1 0 2 0 0 36 41 64 0.397342643228325
+1 0 2 0 0 36 42 64 0.408522342323331
+1 0 2 0 0 36 43 64 0.417993494850795
+1 0 2 0 0 36 44 64 0.425334648341179
+1 0 2 0 0 36 45 64 0.430508393959041
+1 0 2 0 0 36 46 64 0.43348836748264
+1 0 2 0 0 36 47 64 0.434259383649971
+1 0 2 0 0 36 48 64 0.432817513539377
+1 0 2 0 0 36 49 64 0.429170104590437
+1 0 2 0 0 36 50 64 0.423335743163093
+1 0 2 0 0 36 51 64 0.415344159825823
+1 0 2 0 0 36 52 64 0.40523607785548
+1 0 2 0 0 36 53 64 0.393063005720805
+1 0 2 0 0 36 54 64 0.378886974607078
+1 0 2 0 0 36 55 64 0.362780222319418
+1 0 2 0 0 36 56 64 0.344824825175484
+1 0 2 0 0 36 57 64 0.325112279763378
+1 0 2 0 0 36 58 64 0.303743036695999
+1 0 2 0 0 36 59 64 0.28082598873775
+1 0 2 0 0 36 60 64 0.256477915911969
+1 0 2 0 0 36 61 64 0.230822890416698
+1 0 2 0 0 36 62 64 0.203832180226542
+1 0 2 0 0 36 63 64 0.176215535216047
+1 0 2 0 0 36 64 64 0.147451199170928
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.38564729261212
+2 0 2 0 0 36 40 64 0.39892259803025
+2 0 2 0 0 36 41 64 0.410856048779277
+2 0 2 0 0 36 42 64 0.419209424054804
+2 0 2 0 0 36 43 64 0.426276837004168
+2 0 2 0 0 36 44 64 0.431107763331924
+2 0 2 0 0 36 45 64 0.433753525492956
+2 0 2 0 0 36 46 64 0.43418897911328
+2 0 2 0 0 36 47 64 0.43241190522106
+2 0 2 0 0 36 48 64 0.42843135937751
+2 0 2 0 0 36 49 64 0.422267625531826
+2 0 2 0 0 36 50 64 0.413952112658831
+2 0 2 0 0 36 51 64 0.403527194706039
+2 0 2 0 0 36 52 64 0.391045994665734
+2 0 2 0 0 36 53 64 0.376572113872373
+2 0 2 0 0 36 54 64 0.360179307904769
+2 0 2 0 0 36 55 64 0.341951110744567
+2 0 2 0 0 36 56 64 0.321980409106217
+2 0 2 0 0 36 57 64 0.300368969107574
+2 0 2 0 0 36 58 64 0.277226917693087
+2 0 2 0 0 36 59 64 0.25267218145213
+2 0 2 0 0 36 60 64 0.226824902437306
+2 0 2 0 0 36 61 64 0.199815710233799
+2 0 2 0 0 36 62 64 0.171567199068153
+2 0 2 0 0 36 63 64 0.142889103550853
+2 0 2 0 0 36 64 64 0.113265850684095
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.0703439898524511
+2 0 1 0 0 36 28 64 0.130653574550449
+2 0 1 0 0 36 30 64 0.189567498607748
+2 0 1 0 0 36 32 64 0.24271998099118
+2 0 1 0 0 36 34 64 0.291509860138235
+2 0 1 0 0 36 36 64 0.334365439177894
+2 0 1 0 0 36 38 64 0.370414302106194
+2 0 1 0 0 36 40 64 0.39892259803025
+2 0 1 0 0 36 42 64 0.419209424054804
+2 0 1 0 0 36 44 64 0.431107763331924
+2 0 1 0 0 36 46 64 0.43418897911328
+2 0 1 0 0 36 48 64 0.42843135937751
+2 0 1 0 0 36 50 64 0.413952112658831
+2 0 1 0 0 36 52 64 0.391045994665734
+2 0 1 0 0 36 54 64 0.360179307904769
+2 0 1 0 0 36 56 64 0.321980409106217
+2 0 1 0 0 36 58 64 0.277226917693087
+2 0 1 0 0 36 60 64 0.226824902437306
+2 0 1 0 0 36 62 64 0.171567199068153
+2 0 1 0 0 36 64 64 0.113265850684095
+2 0 1 0 0 36 66 64 0.0524389356134676
+2 0 1 0 0 36 68 64 -0.00945548496484734
+2 0 1 0 0 36 70 64 -0.0711574191366449
+2 0 1 0 0 36 72 64 -0.13061642591382
+2 0 1 0 0 36 74 64 -0.188263370629632
+2 0 1 0 0 36 76 64 -0.242098398209849
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.400750008105905
+3 0 2 0 0 36 40 64 0.411674290743992
+3 0 2 0 0 36 41 64 0.421577318046452
+3 0 2 0 0 36 42 64 0.427034830854303
+3 0 2 0 0 36 43 64 0.431717924444678
+3 0 2 0 0 36 44 64 0.433967606541536
+3 0 2 0 0 36 45 64 0.434070353323866
+3 0 2 0 0 36 46 64 0.431957926347435
+3 0 2 0 0 36 47 64 0.427644705234967
+3 0 2 0 0 36 48 64 0.421152304729559
+3 0 2 0 0 36 49 64 0.412513808615993
+3 0 2 0 0 36 50 64 0.401773236690344
+3 0 2 0 0 36 51 64 0.388985320445186
+3 0 2 0 0 36 52 64 0.374215224170453
+3 0 2 0 0 36 53 64 0.35753821289115
+3 0 2 0 0 36 54 64 0.339039268834044
+3 0 2 0 0 36 55 64 0.318812658377712
+3 0 2 0 0 36 56 64 0.296961451692688
+3 0 2 0 0 36 57 64 0.273596997519492
+3 0 2 0 0 36 58 64 0.248838200034265
+3 0 2 0 0 36 59 64 0.222810597954575
+3 0 2 0 0 36 60 64 0.195629894806635
+3 0 2 0 0 36 61 64 0.167440161568292
+3 0 2 0 0 36 62 64 0.138197483293815
+3 0 2 0 0 36 63 64 0.108721691823289
+3 0 2 0 0 36 64 64 0.0785844232104171
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.413245078430099
+4 0 2 0 0 36 40 64 0.421733112754857
+4 0 2 0 0 36 41 64 0.429413743962827
+4 0 2 0 0 36 42 64 0.431952035799124
+4 0 2 0 0 36 43 64 0.434296463058281
+4 0 2 0 0 36 44 64 0.433890386108
+4 0 2 0 0 36 45 64 0.431459297243664
+4 0 2 0 0 36 46 64 0.426810110635343
+4 0 2 0 0 36 47 64 0.419989925125791
+4 0 2 0 0 36 48 64 0.411029426828164
+4 0 2 0 0 36 49 64 0.399974428176639
+4 0 2 0 0 36 50 64 0.386881251521467
+4 0 2 0 0 36 51 64 0.371816616689659
+4 0 2 0 0 36 52 64 0.354857289607193
+4 0 2 0 0 36 53 64 0.336089691117457
+4 0 2 0 0 36 54 64 0.315609456600436
+4 0 2 0 0 36 55 64 0.293520948636738
+4 0 2 0 0 36 56 64 0.269936720333349
+4 0 2 0 0 36 57 64 0.244976913416123
+4 0 2 0 0 36 58 64 0.218767557936851
+4 0 2 0 0 36 59 64 0.191440732789211
+4 0 2 0 0 36 60 64 0.16310098433278
+4 0 2 0 0 36 61 64 0.133921913112964
+4 0 2 0 0 36 62 64 0.103950266330042
+4 0 2 0 0 36 63 64 0.0737709116299035
+4 0 2 0 0 36 64 64 0.0431624050857985
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.14084446143139
+4 0 1 0 0 36 28 64 0.198027091420972
+4 0 1 0 0 36 30 64 0.252179375696328
+4 0 1 0 0 36 32 64 0.298437297091646
+4 0 1 0 0 36 34 64 0.340409197119966
+4 0 1 0 0 36 36 64 0.375342390722267
+4 0 1 0 0 36 38 64 0.402649630629678
+4 0 1 0 0 36 40 64 0.421733112754857
+4 0 1 0 0 36 42 64 0.431952035799124
+4 0 1 0 0 36 44 64 0.433890386108
+4 0 1 0 0 36 46 64 0.426810110635343
+4 0 1 0 0 36 48 64 0.411029426828164
+4 0 1 0 0 36 50 64 0.386881251521467
+4 0 1 0 0 36 52 64 0.354857289607193
+4 0 1 0 0 36 54 64 0.315609456600436
+4 0 1 0 0 36 56 64 0.269936720333349
+4 0 1 0 0 36 58 64 0.218767557936851
+4 0 1 0 0 36 60 64 0.16310098433278
+4 0 1 0 0 36 62 64 0.103950266330042
+4 0 1 0 0 36 64 64 0.0431624050857985
+4 0 1 0 0 36 66 64 -0.018911292556989
+4 0 1 0 0 36 68 64 -0.080454840255729
+4 0 1 0 0 36 70 64 -0.140320055798339
+4 0 1 0 0 36 72 64 -0.195484673423327
+4 0 1 0 0 36 74 64 -0.251117745439173
+4 0 1 0 0 36 76 64 -0.29917337139087
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -0.434734210686685
+4 0 0 0 0 36 4 64 -0.411725364080886
+4 0 0 0 0 36 8 64 -0.355360977102279
+4 0 0 0 0 36 12 64 -0.270207357171949
+4 0 0 0 0 36 16 64 -0.163163144148577
+4 0 0 0 0 36 20 64 -0.0429004235548697
+4 0 0 0 0 36 24 64 0.0808378342166104
+4 0 0 0 0 36 28 64 0.198027091420972
+4 0 0 0 0 36 32 64 0.298437297091646
+4 0 0 0 0 36 36 64 0.375342390722267
+4 0 0 0 0 36 40 64 0.421733112754857
+4 0 0 0 0 36 44 64 0.433890386108
+4 0 0 0 0 36 48 64 0.411029426828164
+4 0 0 0 0 36 52 64 0.354857289607193
+4 0 0 0 0 36 56 64 0.269936720333349
+4 0 0 0 0 36 60 64 0.16310098433278
+4 0 0 0 0 36 64 64 0.0431624050857985
+4 0 0 0 0 36 68 64 -0.080454840255729
+4 0 0 0 0 36 72 64 -0.195484673423327
+4 0 0 0 0 36 76 64 -0.29917337139087
+4 0 0 0 0 36 80 64 -0.376082404063224
+4 0 0 0 0 36 84 64 -0.422523477006553
+4 0 0 0 0 36 88 64 -0.434734210686685
+4 0 0 0 0 36 92 64 -0.411725364080886
+4 0 0 0 0 36 96 64 -0.355360977102279
+4 0 0 0 0 36 100 64 -0.270207357171949
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.422855058898574
+5 0 2 0 0 36 40 64 0.428829635769532
+5 0 2 0 0 36 41 64 0.434290083068698
+5 0 2 0 0 36 42 64 0.433942267254891
+5 0 2 0 0 36 43 64 0.434003855671127
+5 0 2 0 0 36 44 64 0.430871472205293
+5 0 2 0 0 36 45 64 0.425943574307487
+5 0 2 0 0 36 46 64 0.418779711258063
+5 0 2 0 0 36 47 64 0.409499338216268
+5 0 2 0 0 36 48 64 0.398130985176334
+5 0 2 0 0 36 49 64 0.384734053194433
+5 0 2 0 0 36 50 64 0.369376599066006
+5 0 2 0 0 36 51 64 0.352136886813233
+5 0 2 0 0 36 52 64 0.333102765702384
+5 0 2 0 0 36 53 64 0.312371229251342
+5 0 2 0 0 36 54 64 0.290047920466038
+5 0 2 0 0 36 55 64 0.26624659204146
+5 0 2 0 0 36 56 64 0.241088464426799
+5 0 2 0 0 36 57 64 0.21470156609071
+5 0 2 0 0 36 58 64 0.187216292562911
+5 0 2 0 0 36 59 64 0.158771759137
+5 0 2 0 0 36 60 64 0.129462394101565
+5 0 2 0 0 36 61 64 0.099492948799418
+5 0 2 0 0 36 62 64 0.0690574414358041
+5 0 2 0 0 36 63 64 0.0385213455499006
+5 0 2 0 0 36 64 64 0.00769890270701742
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.429645899862006
+6 0 2 0 0 36 40 64 0.433053669219121
+6 0 2 0 0 36 41 64 0.436172727245
+6 0 2 0 0 36 42 64 0.433000215464868
+6 0 2 0 0 36 43 64 0.430837684058897
+6 0 2 0 0 36 44 64 0.424926812744102
+6 0 2 0 0 36 45 64 0.417568940283446
+6 0 2 0 0 36 46 64 0.407919678872793
+6 0 2 0 0 36 47 64 0.396244326340379
+6 0 2 0 0 36 48 64 0.382543933581744
+6 0 2 0 0 36 49 64 0.366895484841289
+6 0 2 0 0 36 50 64 0.349377349716012
+6 0 2 0 0 36 51 64 0.330078877405021
+6 0 2 0 0 36 52 64 0.309098398582461
+6 0 2 0 0 36 53 64 0.286542825099867
+6 0 2 0 0 36 54 64 0.262527091714485
+6 0 2 0 0 36 55 64 0.237173564341173
+6 0 2 0 0 36 56 64 0.210611095919684
+6 0 2 0 0 36 57 64 0.182974666635288
+6 0 2 0 0 36 58 64 0.154395466905076
+6 0 2 0 0 36 59 64 0.125022001716644
+6 0 2 0 0 36 60 64 0.0949484625110372
+6 0 2 0 0 36 61 64 0.0644042373712699
+6 0 2 0 0 36 62 64 0.0337473408762937
+6 0 2 0 0 36 63 64 0.00283374446471012
+6 0 2 0 0 36 64 64 -0.0280391193915189
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.205916837449536
+6 0 1 0 0 36 28 64 0.258465400073283
+6 0 1 0 0 36 30 64 0.308390677347601
+6 0 1 0 0 36 32 64 0.346120033028418
+6 0 1 0 0 36 34 64 0.380244786170709
+6 0 1 0 0 36 36 64 0.4062168645141
+6 0 1 0 0 36 38 64 0.424036056254411
+6 0 1 0 0 36 40 64 0.433053669219121
+6 0 1 0 0 36 42 64 0.433000215464868
+6 0 1 0 0 36 44 64 0.424926812744102
+6 0 1 0 0 36 46 64 0.407919678872793
+6 0 1 0 0 36 48 64 0.382543933581744
+6 0 1 0 0 36 50 64 0.349377349716012
+6 0 1 0 0 36 52 64 0.309098398582461
+6 0 1 0 0 36 54 64 0.262527091714485
+6 0 1 0 0 36 56 64 0.210611095919684
+6 0 1 0 0 36 58 64 0.154395466905076
+6 0 1 0 0 36 60 64 0.0949484625110372
+6 0 1 0 0 36 62 64 0.0337473408762937
+6 0 1 0 0 36 64 64 -0.0280391193915189
+6 0 1 0 0 36 66 64 -0.0897817949364614
+6 0 1 0 0 36 68 64 -0.149198102147098
+6 0 1 0 0 36 70 64 -0.205693198483574
+6 0 1 0 0 36 72 64 -0.254907327426771
+6 0 1 0 0 36 74 64 -0.303973155219985
+6 0 1 0 0 36 76 64 -0.346696931649922
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0.433478818475239
+7 0 2 0 0 36 40 64 0.434273355127741
+7 0 2 0 0 36 41 64 0.435044303382679
+7 0 2 0 0 36 42 64 0.429140832239875
+7 0 2 0 0 36 43 64 0.424805336525447
+7 0 2 0 0 36 44 64 0.416094117740989
+7 0 2 0 0 36 45 64 0.406402053108739
+7 0 2 0 0 36 46 64 0.394301226618114
+7 0 2 0 0 36 47 64 0.38031586617016
+7 0 2 0 0 36 48 64 0.364373268176164
+7 0 2 0 0 36 49 64 0.346579098833632
+7 0 2 0 0 36 50 64 0.327018406462887
+7 0 2 0 0 36 51 64 0.305791386022378
+7 0 2 0 0 36 52 64 0.283006119033189
+7 0 2 0 0 36 53 64 0.258778717181862
+7 0 2 0 0 36 54 64 0.233232613736268
+7 0 2 0 0 36 55 64 0.206497940329559
+7 0 2 0 0 36 56 64 0.178709786144474
+7 0 2 0 0 36 57 64 0.150009343439902
+7 0 2 0 0 36 58 64 0.12052519895749
+7 0 2 0 0 36 59 64 0.0904186703963865
+7 0 2 0 0 36 60 64 0.0598047081974233
+7 0 2 0 0 36 61 64 0.0288983762951675
+7 0 2 0 0 36 62 64 -0.00174530686518302
+7 0 2 0 0 36 63 64 -0.0325740921387936
+7 0 2 0 0 36 64 64 -0.0633515268610455
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 0.434372840272355
+8 0 2 0 0 36 40 64 0.432532646154021
+8 0 2 0 0 36 41 64 0.430927570611667
+8 0 2 0 0 36 42 64 0.422391724630785
+8 0 2 0 0 36 43 64 0.41592422891748
+8 0 2 0 0 36 44 64 0.404433247055529
+8 0 2 0 0 36 45 64 0.392527854082446
+8 0 2 0 0 36 46 64 0.378013440941589
+8 0 2 0 0 36 47 64 0.361824387926251
+8 0 2 0 0 36 48 64 0.343741214330307
+8 0 2 0 0 36 49 64 0.323922125276627
+8 0 2 0 0 36 50 64 0.302450594342216
+8 0 2 0 0 36 51 64 0.279438267762097
+8 0 2 0 0 36 52 64 0.255001958231656
+8 0 2 0 0 36 53 64 0.229266216250783
+8 0 2 0 0 36 54 64 0.202362076426732
+8 0 2 0 0 36 55 64 0.174426533651767
+8 0 2 0 0 36 56 64 0.145599056062501
+8 0 2 0 0 36 57 64 0.116026780087761
+8 0 2 0 0 36 58 64 0.0858341736116989
+8 0 2 0 0 36 59 64 0.0551971706071003
+8 0 2 0 0 36 60 64 0.0242795178040284
+8 0 2 0 0 36 61 64 -0.00676388477716365
+8 0 2 0 0 36 62 64 -0.0371959087893544
+8 0 2 0 0 36 63 64 -0.0680604874485249
+8 0 2 0 0 36 64 64 -0.0984716978178172
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.267330634381912
+8 0 1 0 0 36 28 64 0.313788437315263
+8 0 1 0 0 36 30 64 0.356530095967397
+8 0 1 0 0 36 32 64 0.384450277333466
+8 0 1 0 0 36 34 64 0.410000319025514
+8 0 1 0 0 36 36 64 0.426141158566491
+8 0 1 0 0 36 38 64 0.433986680467815
+8 0 1 0 0 36 40 64 0.432532646154021
+8 0 1 0 0 36 42 64 0.422391724630785
+8 0 1 0 0 36 44 64 0.404433247055529
+8 0 1 0 0 36 46 64 0.378013440941589
+8 0 1 0 0 36 48 64 0.343741214330307
+8 0 1 0 0 36 50 64 0.302450594342216
+8 0 1 0 0 36 52 64 0.255001958231656
+8 0 1 0 0 36 54 64 0.202362076426732
+8 0 1 0 0 36 56 64 0.145599056062501
+8 0 1 0 0 36 58 64 0.0858341736116989
+8 0 1 0 0 36 60 64 0.0242795178040284
+8 0 1 0 0 36 62 64 -0.0371959087893544
+8 0 1 0 0 36 64 64 -0.0984716978178172
+8 0 1 0 0 36 66 64 -0.158245723655572
+8 0 1 0 0 36 68 64 -0.213769972707794
+8 0 1 0 0 36 70 64 -0.26539076924557
+8 0 1 0 0 36 72 64 -0.307466275409382
+8 0 1 0 0 36 74 64 -0.351949337613331
+8 0 1 0 0 36 76 64 -0.386314052844263
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -0.406533838434933
+8 0 0 0 0 36 4 64 -0.345214503330214
+8 0 0 0 0 36 8 64 -0.255927942235384
+8 0 0 0 0 36 12 64 -0.145907621322717
+8 0 0 0 0 36 16 64 -0.0240667326765224
+8 0 0 0 0 36 20 64 0.0997238995207541
+8 0 0 0 0 36 24 64 0.215412492137875
+8 0 0 0 0 36 28 64 0.313788437315263
+8 0 0 0 0 36 32 64 0.384450277333466
+8 0 0 0 0 36 36 64 0.426141158566491
+8 0 0 0 0 36 40 64 0.432532646154021
+8 0 0 0 0 36 44 64 0.404433247055529
+8 0 0 0 0 36 48 64 0.343741214330307
+8 0 0 0 0 36 52 64 0.255001958231656
+8 0 0 0 0 36 56 64 0.145599056062501
+8 0 0 0 0 36 60 64 0.0242795178040284
+8 0 0 0 0 36 64 64 -0.0984716978178172
+8 0 0 0 0 36 68 64 -0.213769972707794
+8 0 0 0 0 36 72 64 -0.307466275409382
+8 0 0 0 0 36 76 64 -0.386314052844263
+8 0 0 0 0 36 80 64 -0.427988662799813
+8 0 0 0 0 36 84 64 -0.434918219699489
+8 0 0 0 0 36 88 64 -0.406533838434933
+8 0 0 0 0 36 92 64 -0.345214503330214
+8 0 0 0 0 36 96 64 -0.255927942235384
+8 0 0 0 0 36 100 64 -0.145907621322717
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0.432321501168764
+9 0 2 0 0 36 40 64 0.427846303559351
+9 0 2 0 0 36 41 64 0.423858044079535
+9 0 2 0 0 36 42 64 0.412795789556463
+9 0 2 0 0 36 43 64 0.404227572685189
+9 0 2 0 0 36 44 64 0.39002584029396
+9 0 2 0 0 36 45 64 0.376046363886879
+9 0 2 0 0 36 46 64 0.359163037697731
+9 0 2 0 0 36 47 64 0.340899306434881
+9 0 2 0 0 36 48 64 0.32078627833161
+9 0 2 0 0 36 49 64 0.299077894852464
+9 0 2 0 0 36 50 64 0.27583963839014
+9 0 2 0 0 36 51 64 0.251197355273185
+9 0 2 0 0 36 52 64 0.225274875124315
+9 0 2 0 0 36 53 64 0.198204453839694
+9 0 2 0 0 36 54 64 0.170123667184693
+9 0 2 0 0 36 55 64 0.141175464849902
+9 0 2 0 0 36 56 64 0.111501439649974
+9 0 2 0 0 36 57 64 0.0812550203033052
+9 0 2 0 0 36 58 64 0.0505588292519683
+9 0 2 0 0 36 59 64 0.0196000975915147
+9 0 2 0 0 36 60 64 -0.0113746633420454
+9 0 2 0 0 36 61 64 -0.0423443967608772
+9 0 2 0 0 36 62 64 -0.0723715630013384
+9 0 2 0 0 36 63 64 -0.102721353679706
+9 0 2 0 0 36 64 64 -0.13270896780609
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0.427310338760191
+10 0 2 0 0 36 40 64 0.420209406923267
+10 0 2 0 0 36 41 64 0.413904553885241
+10 0 2 0 0 36 42 64 0.400411763773032
+10 0 2 0 0 36 43 64 0.389768133676166
+10 0 2 0 0 36 44 64 0.372973970404396
+10 0 2 0 0 36 45 64 0.357069633428413
+10 0 2 0 0 36 46 64 0.337874224602926
+10 0 2 0 0 36 47 64 0.317688028605201
+10 0 2 0 0 36 48 64 0.295662211288235
+10 0 2 0 0 36 49 64 0.27221505887446
+10 0 2 0 0 36 50 64 0.247365032885297
+10 0 2 0 0 36 51 64 0.221259310159764
+10 0 2 0 0 36 52 64 0.194025502714529
+10 0 2 0 0 36 53 64 0.165803056191313
+10 0 2 0 0 36 54 64 0.136734759104073
+10 0 2 0 0 36 55 64 0.106968693632465
+10 0 2 0 0 36 56 64 0.0766462727585709
+10 0 2 0 0 36 57 64 0.0459279211053281
+10 0 2 0 0 36 58 64 0.0149423012470356
+10 0 2 0 0 36 59 64 -0.0161245764654625
+10 0 2 0 0 36 60 64 -0.0469110007117029
+10 0 2 0 0 36 61 64 -0.0775883122520762
+10 0 2 0 0 36 62 64 -0.107051260485374
+10 0 2 0 0 36 63 64 -0.137080675490334
+10 0 2 0 0 36 64 64 -0.166293558311113
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.320086323017277
+10 0 1 0 0 36 28 64 0.359139727516071
+10 0 1 0 0 36 30 64 0.395082582395981
+10 0 1 0 0 36 32 64 0.412477300873572
+10 0 1 0 0 36 34 64 0.428949740074707
+10 0 1 0 0 36 36 64 0.434551155052228
+10 0 1 0 0 36 38 64 0.432231255513113
+10 0 1 0 0 36 40 64 0.420209406923267
+10 0 1 0 0 36 42 64 0.400411763773032
+10 0 1 0 0 36 44 64 0.372973970404396
+10 0 1 0 0 36 46 64 0.337874224602926
+10 0 1 0 0 36 48 64 0.295662211288235
+10 0 1 0 0 36 50 64 0.247365032885297
+10 0 1 0 0 36 52 64 0.194025502714529
+10 0 1 0 0 36 54 64 0.136734759104073
+10 0 1 0 0 36 56 64 0.0766462727585709
+10 0 1 0 0 36 58 64 0.0149423012470356
+10 0 1 0 0 36 60 64 -0.0469110007117029
+10 0 1 0 0 36 62 64 -0.107051260485374
+10 0 1 0 0 36 64 64 -0.166293558311113
+10 0 1 0 0 36 66 64 -0.222421455094509
+10 0 1 0 0 36 68 64 -0.272367323567512
+10 0 1 0 0 36 70 64 -0.317899879344502
+10 0 1 0 0 36 72 64 -0.3518948567857
+10 0 1 0 0 36 74 64 -0.387259110709446
+10 0 1 0 0 36 76 64 -0.414743925264241
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0.419447640256245
+11 0 2 0 0 36 40 64 0.40977194017754
+11 0 2 0 0 36 41 64 0.40114304408373
+11 0 2 0 0 36 42 64 0.385312683694803
+11 0 2 0 0 36 43 64 0.372622474844027
+11 0 2 0 0 36 44 64 0.353398244150541
+11 0 2 0 0 36 45 64 0.335719478524477
+11 0 2 0 0 36 46 64 0.314288536923753
+11 0 2 0 0 36 47 64 0.292354310559842
+11 0 2 0 0 36 48 64 0.26853694471596
+11 0 2 0 0 36 49 64 0.24351675468482
+11 0 2 0 0 36 50 64 0.21721880593939
+11 0 2 0 0 36 51 64 0.189826424335937
+11 0 2 0 0 36 52 64 0.161464817264576
+11 0 2 0 0 36 53 64 0.132280751554729
+11 0 2 0 0 36 54 64 0.102420465062505
+11 0 2 0 0 36 55 64 0.0720365577105562
+11 0 2 0 0 36 56 64 0.0412686087939055
+11 0 2 0 0 36 57 64 0.0102842219780608
+11 0 2 0 0 36 58 64 -0.0207674309053518
+11 0 2 0 0 36 59 64 -0.0517259432111482
+11 0 2 0 0 36 60 64 -0.0820845709151323
+11 0 2 0 0 36 61 64 -0.112273131966783
+11 0 2 0 0 36 62 64 -0.141008865566358
+11 0 2 0 0 36 63 64 -0.170119946092403
+11 0 2 0 0 36 64 64 -0.198551487521802
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0.408696265637202
+12 0 2 0 0 36 40 64 0.396483908678247
+12 0 2 0 0 36 41 64 0.385675350422451
+12 0 2 0 0 36 42 64 0.367593246884816
+12 0 2 0 0 36 43 64 0.352894214486911
+12 0 2 0 0 36 44 64 0.331435499466935
+12 0 2 0 0 36 45 64 0.312126446779555
+12 0 2 0 0 36 46 64 0.288564477563604
+12 0 2 0 0 36 47 64 0.26507596973519
+12 0 2 0 0 36 48 64 0.239591551821094
+12 0 2 0 0 36 49 64 0.213179645671059
+12 0 2 0 0 36 50 64 0.185604186855542
+12 0 2 0 0 36 51 64 0.15711138528182
+12 0 2 0 0 36 52 64 0.127812730971522
+12 0 2 0 0 36 53 64 0.0978639197141443
+12 0 2 0 0 36 54 64 0.0674121894728842
+12 0 2 0 0 36 55 64 0.0366143584054066
+12 0 2 0 0 36 56 64 0.00560819727477353
+12 0 2 0 0 36 57 64 -0.0254334443803905
+12 0 2 0 0 36 58 64 -0.0563198087020092
+12 0 2 0 0 36 59 64 -0.0869532433913974
+12 0 2 0 0 36 60 64 -0.116662256590963
+12 0 2 0 0 36 61 64 -0.146159943168716
+12 0 2 0 0 36 62 64 -0.174026040732159
+12 0 2 0 0 36 63 64 -0.202453539026409
+12 0 2 0 0 36 64 64 -0.229707416041852
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.365697743209768
+12 0 1 0 0 36 28 64 0.396138095885988
+12 0 1 0 0 36 30 64 0.422942766309484
+12 0 1 0 0 36 32 64 0.429427157960137
+12 0 1 0 0 36 34 64 0.436594385013843
+12 0 1 0 0 36 36 64 0.4311885311223
+12 0 1 0 0 36 38 64 0.418830848519607
+12 0 1 0 0 36 40 64 0.396483908678247
+12 0 1 0 0 36 42 64 0.367593246884816
+12 0 1 0 0 36 44 64 0.331435499466935
+12 0 1 0 0 36 46 64 0.288564477563604
+12 0 1 0 0 36 48 64 0.239591551821094
+12 0 1 0 0 36 50 64 0.185604186855542
+12 0 1 0 0 36 52 64 0.127812730971522
+12 0 1 0 0 36 54 64 0.0674121894728842
+12 0 1 0 0 36 56 64 0.00560819727477353
+12 0 1 0 0 36 58 64 -0.0563198087020092
+12 0 1 0 0 36 60 64 -0.116662256590963
+12 0 1 0 0 36 62 64 -0.174026040732159
+12 0 1 0 0 36 64 64 -0.229707416041852
+12 0 1 0 0 36 66 64 -0.28053248065553
+12 0 1 0 0 36 68 64 -0.323416253202879
+12 0 1 0 0 36 70 64 -0.36171501058819
+12 0 1 0 0 36 72 64 -0.387103685512915
+12 0 1 0 0 36 74 64 -0.415645112857639
+12 0 1 0 0 36 76 64 -0.433080152146407
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -0.334930965820826
+12 0 0 0 0 36 4 64 -0.241629337810503
+12 0 0 0 0 36 8 64 -0.128749855045699
+12 0 0 0 0 36 12 64 -0.00543982472995432
+12 0 0 0 0 36 16 64 0.118310189010964
+12 0 0 0 0 36 20 64 0.232486440235383
+12 0 0 0 0 36 24 64 0.327679381133465
+12 0 0 0 0 36 28 64 0.396138095885988
+12 0 0 0 0 36 32 64 0.429427157960137
+12 0 0 0 0 36 36 64 0.4311885311223
+12 0 0 0 0 36 40 64 0.396483908678247
+12 0 0 0 0 36 44 64 0.331435499466935
+12 0 0 0 0 36 48 64 0.239591551821094
+12 0 0 0 0 36 52 64 0.127812730971522
+12 0 0 0 0 36 56 64 0.00560819727477353
+12 0 0 0 0 36 60 64 -0.116662256590963
+12 0 0 0 0 36 64 64 -0.229707416041852
+12 0 0 0 0 36 68 64 -0.323416253202879
+12 0 0 0 0 36 72 64 -0.387103685512915
+12 0 0 0 0 36 76 64 -0.433080152146407
+12 0 0 0 0 36 80 64 -0.434335366015119
+12 0 0 0 0 36 84 64 -0.401087245060013
+12 0 0 0 0 36 88 64 -0.334930965820826
+12 0 0 0 0 36 92 64 -0.241629337810503
+12 0 0 0 0 36 96 64 -0.128749855045699
+12 0 0 0 0 36 100 64 -0.00543982472995432
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0.395260794628372
+13 0 2 0 0 36 40 64 0.380607874361732
+13 0 2 0 0 36 41 64 0.367607059638018
+13 0 2 0 0 36 42 64 0.347363135662677
+13 0 2 0 0 36 43 64 0.330713283110544
+13 0 2 0 0 36 44 64 0.307236670928064
+13 0 2 0 0 36 45 64 0.286430237498793
+13 0 2 0 0 36 46 64 0.260876793743097
+13 0 2 0 0 36 47 64 0.236042109875164
+13 0 2 0 0 36 48 64 0.20901926388887
+13 0 2 0 0 36 49 64 0.181412731390146
+13 0 2 0 0 36 50 64 0.152734189062767
+13 0 2 0 0 36 51 64 0.12333600809208
+13 0 2 0 0 36 52 64 0.0932966071476417
+13 0 2 0 0 36 53 64 0.0627850956101566
+13 0 2 0 0 36 54 64 0.0319462046381489
+13 0 2 0 0 36 55 64 0.000941014939286108
+13 0 2 0 0 36 56 64 -0.0300915950067624
+13 0 2 0 0 36 57 64 -0.0609797262544247
+13 0 2 0 0 36 58 64 -0.091464767513337
+13 0 2 0 0 36 59 64 -0.121559310673963
+13 0 2 0 0 36 60 64 -0.150415589953783
+13 0 2 0 0 36 61 64 -0.1790455478672
+13 0 2 0 0 36 62 64 -0.205888513055886
+13 0 2 0 0 36 63 64 -0.233017644464004
+13 0 2 0 0 36 64 64 -0.25911567452684
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0.379084969476924
+14 0 2 0 0 36 40 64 0.362056316582548
+14 0 2 0 0 36 41 64 0.347065854692692
+14 0 2 0 0 36 42 64 0.324758299998051
+14 0 2 0 0 36 43 64 0.306236510292026
+14 0 2 0 0 36 44 64 0.280965013542393
+14 0 2 0 0 36 45 64 0.258781277352641
+14 0 2 0 0 36 46 64 0.231415272079719
+14 0 2 0 0 36 47 64 0.205450156734808
+14 0 2 0 0 36 48 64 0.177024531996661
+14 0 2 0 0 36 49 64 0.148435812574252
+14 0 2 0 0 36 50 64 0.118830127520427
+14 0 2 0 0 36 51 64 0.0887299200917209
+14 0 2 0 0 36 52 64 0.0581496990264546
+14 0 2 0 0 36 53 64 0.0272814434570535
+14 0 2 0 0 36 54 64 -0.00373773651374605
+14 0 2 0 0 36 55 64 -0.0347422180321576
+14 0 2 0 0 36 56 64 -0.0655850740248212
+14 0 2 0 0 36 57 64 -0.0961081334234368
+14 0 2 0 0 36 58 64 -0.125955882141733
+14 0 2 0 0 36 59 64 -0.15530396870236
+14 0 2 0 0 36 60 64 -0.183130263135407
+14 0 2 0 0 36 61 64 -0.210708788968009
+14 0 2 0 0 36 62 64 -0.236382550121585
+14 0 2 0 0 36 63 64 -0.262470649217438
+14 0 2 0 0 36 64 64 -0.286991486091575
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.400315736112123
+14 0 1 0 0 36 28 64 0.4212536990514
+14 0 1 0 0 36 30 64 0.439167193825273
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+14 0 1 0 0 36 42 64 0.324758299998051
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+14 0 1 0 0 36 48 64 0.177024531996661
+14 0 1 0 0 36 50 64 0.118830127520427
+14 0 1 0 0 36 52 64 0.0581496990264546
+14 0 1 0 0 36 54 64 -0.00373773651374605
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+14 0 1 0 0 36 58 64 -0.125955882141733
+14 0 1 0 0 36 60 64 -0.183130263135407
+14 0 1 0 0 36 62 64 -0.236382550121585
+14 0 1 0 0 36 64 64 -0.286991486091575
+14 0 1 0 0 36 66 64 -0.330969874587954
+14 0 1 0 0 36 68 64 -0.365577365668261
+14 0 1 0 0 36 70 64 -0.395791528830777
+14 0 1 0 0 36 72 64 -0.412250347962806
+14 0 1 0 0 36 74 64 -0.430388226258667
+14 0 1 0 0 36 76 64 -0.439604838704215
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0.360459693037627
+15 0 2 0 0 36 40 64 0.341184608893554
+15 0 2 0 0 36 41 64 0.324184216702234
+15 0 2 0 0 36 42 64 0.299928312421784
+15 0 2 0 0 36 43 64 0.279641675871136
+15 0 2 0 0 36 44 64 0.252794998549324
+15 0 2 0 0 36 45 64 0.229343120987531
+15 0 2 0 0 36 46 64 0.200383033250021
+15 0 2 0 0 36 47 64 0.173503081864189
+15 0 2 0 0 36 48 64 0.143822080275368
+15 0 2 0 0 36 49 64 0.114477519342405
+15 0 2 0 0 36 50 64 0.0841200947581495
+15 0 2 0 0 36 51 64 0.0535291639608645
+15 0 2 0 0 36 52 64 0.0226095201608515
+15 0 2 0 0 36 53 64 -0.00840677771206672
+15 0 2 0 0 36 54 64 -0.0393977624161185
+15 0 2 0 0 36 55 64 -0.0701930114481979
+15 0 2 0 0 36 56 64 -0.100625868527498
+15 0 2 0 0 36 57 64 -0.130573087402919
+15 0 2 0 0 36 58 64 -0.159553850893852
+15 0 2 0 0 36 59 64 -0.187957139765419
+15 0 2 0 0 36 60 64 -0.21459676439251
+15 0 2 0 0 36 61 64 -0.240963815141926
+15 0 2 0 0 36 62 64 -0.265310687819751
+15 0 2 0 0 36 63 64 -0.289732392165219
+15 0 2 0 0 36 64 64 -0.312735995508233
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0.33930658504727
+16 0 2 0 0 36 40 64 0.317874293443799
+16 0 2 0 0 36 41 64 0.299116853503872
+16 0 2 0 0 36 42 64 0.273049558779635
+16 0 2 0 0 36 43 64 0.251126813227492
+16 0 2 0 0 36 44 64 0.22291179194741
+16 0 2 0 0 36 45 64 0.198294852808321
+16 0 2 0 0 36 46 64 0.167994392439548
+16 0 2 0 0 36 47 64 0.140407195619687
+16 0 2 0 0 36 48 64 0.109635861952211
+16 0 2 0 0 36 49 64 0.0797728715726397
+16 0 2 0 0 36 50 64 0.0488374222728685
+16 0 2 0 0 36 51 64 0.0179746681612826
+16 0 2 0 0 36 52 64 -0.0130838346871138
+16 0 2 0 0 36 53 64 -0.0440377345521383
+16 0 2 0 0 36 54 64 -0.0747912575831165
+16 0 2 0 0 36 55 64 -0.105169272947961
+16 0 2 0 0 36 56 64 -0.13496904234174
+16 0 2 0 0 36 57 64 -0.164132521747891
+16 0 2 0 0 36 58 64 -0.192029457292777
+16 0 2 0 0 36 59 64 -0.219301205284766
+16 0 2 0 0 36 60 64 -0.244619362390793
+16 0 2 0 0 36 61 64 -0.269604460318403
+16 0 2 0 0 36 62 64 -0.292469918324434
+16 0 2 0 0 36 63 64 -0.315511571702025
+16 0 2 0 0 36 64 64 -0.33654882118609
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.425091380014551
+16 0 1 0 0 36 28 64 0.435663151470178
+16 0 1 0 0 36 30 64 0.443331670888888
+16 0 1 0 0 36 32 64 0.428687573152581
+16 0 1 0 0 36 34 64 0.417359731799212
+16 0 1 0 0 36 36 64 0.389740085010318
+16 0 1 0 0 36 38 64 0.358959670136259
+16 0 1 0 0 36 40 64 0.317874293443799
+16 0 1 0 0 36 42 64 0.273049558779635
+16 0 1 0 0 36 44 64 0.22291179194741
+16 0 1 0 0 36 46 64 0.167994392439548
+16 0 1 0 0 36 48 64 0.109635861952211
+16 0 1 0 0 36 50 64 0.0488374222728685
+16 0 1 0 0 36 52 64 -0.0130838346871138
+16 0 1 0 0 36 54 64 -0.0747912575831165
+16 0 1 0 0 36 56 64 -0.13496904234174
+16 0 1 0 0 36 58 64 -0.192029457292777
+16 0 1 0 0 36 60 64 -0.244619362390793
+16 0 1 0 0 36 62 64 -0.292469918324434
+16 0 1 0 0 36 64 64 -0.33654882118609
+16 0 1 0 0 36 66 64 -0.372349775795953
+16 0 1 0 0 36 68 64 -0.397829513123985
+16 0 1 0 0 36 70 64 -0.419194602298196
+16 0 1 0 0 36 72 64 -0.426675932375059
+16 0 1 0 0 36 74 64 -0.436427911699775
+16 0 1 0 0 36 76 64 -0.43489061653318
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -0.227324030912732
+16 0 0 0 0 36 4 64 -0.111767751151321
+16 0 0 0 0 36 8 64 0.0128683951627269
+16 0 0 0 0 36 12 64 0.136463206023583
+16 0 0 0 0 36 16 64 0.24899416844826
+16 0 0 0 0 36 20 64 0.341366168102806
+16 0 0 0 0 36 24 64 0.405670634539685
+16 0 0 0 0 36 28 64 0.435663151470178
+16 0 0 0 0 36 32 64 0.428687573152581
+16 0 0 0 0 36 36 64 0.389740085010318
+16 0 0 0 0 36 40 64 0.317874293443799
+16 0 0 0 0 36 44 64 0.22291179194741
+16 0 0 0 0 36 48 64 0.109635861952211
+16 0 0 0 0 36 52 64 -0.0130838346871138
+16 0 0 0 0 36 56 64 -0.13496904234174
+16 0 0 0 0 36 60 64 -0.244619362390793
+16 0 0 0 0 36 64 64 -0.33654882118609
+16 0 0 0 0 36 68 64 -0.397829513123985
+16 0 0 0 0 36 72 64 -0.426675932375059
+16 0 0 0 0 36 76 64 -0.43489061653318
+16 0 0 0 0 36 80 64 -0.394143483070937
+16 0 0 0 0 36 84 64 -0.324470918039926
+16 0 0 0 0 36 88 64 -0.227324030912732
+16 0 0 0 0 36 92 64 -0.111767751151321
+16 0 0 0 0 36 96 64 0.0128683951627269
+16 0 0 0 0 36 100 64 0.136463206023583
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0.316000742776145
+17 0 2 0 0 36 40 64 0.29256462407521
+17 0 2 0 0 36 41 64 0.272026824015082
+17 0 2 0 0 36 42 64 0.244306961686711
+17 0 2 0 0 36 43 64 0.220901786951846
+17 0 2 0 0 36 44 64 0.191511225800787
+17 0 2 0 0 36 45 64 0.165833088528777
+17 0 2 0 0 36 46 64 0.134472457980416
+17 0 2 0 0 36 47 64 0.106370811318945
+17 0 2 0 0 36 48 64 0.0746978142392145
+17 0 2 0 0 36 49 64 0.0445604314746672
+17 0 2 0 0 36 50 64 0.0132191528373189
+17 0 2 0 0 36 51 64 -0.0176894740134847
+17 0 2 0 0 36 52 64 -0.048689386463374
+17 0 2 0 0 36 53 64 -0.0793695077748062
+17 0 2 0 0 36 54 64 -0.109676310783414
+17 0 2 0 0 36 55 64 -0.139430598869192
+17 0 2 0 0 36 56 64 -0.168373693322737
+17 0 2 0 0 36 57 64 -0.196550883920878
+17 0 2 0 0 36 58 64 -0.223166278527153
+17 0 2 0 0 36 59 64 -0.249132599423903
+17 0 2 0 0 36 60 64 -0.273006878612547
+17 0 2 0 0 36 61 64 -0.296460286809649
+17 0 2 0 0 36 62 64 -0.317683386810327
+17 0 2 0 0 36 63 64 -0.338699800624455
+17 0 2 0 0 36 64 64 -0.357903764597354
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0.290437392680207
+18 0 2 0 0 36 40 64 0.26510918284048
+18 0 2 0 0 36 41 64 0.243099893468597
+18 0 2 0 0 36 42 64 0.21390917166487
+18 0 2 0 0 36 43 64 0.189189193885477
+18 0 2 0 0 36 44 64 0.158799924617818
+18 0 2 0 0 36 45 64 0.132172813089439
+18 0 2 0 0 36 46 64 0.100046665963641
+18 0 2 0 0 36 47 64 0.071603945384983
+18 0 2 0 0 36 48 64 0.0392463211286308
+18 0 2 0 0 36 49 64 0.00907921507461576
+18 0 2 0 0 36 50 64 -0.0224954560804742
+18 0 2 0 0 36 51 64 -0.0532179670224465
+18 0 2 0 0 36 52 64 -0.0839669441411925
+18 0 2 0 0 36 53 64 -0.114161542775436
+18 0 2 0 0 36 54 64 -0.14381330983234
+18 0 2 0 0 36 55 64 -0.172739952477655
+18 0 2 0 0 36 56 64 -0.200605959900457
+18 0 2 0 0 36 57 64 -0.227602391698592
+18 0 2 0 0 36 58 64 -0.252762417292916
+18 0 2 0 0 36 59 64 -0.277262444786662
+18 0 2 0 0 36 60 64 -0.299580825418749
+18 0 2 0 0 36 61 64 -0.32133901378108
+18 0 2 0 0 36 62 64 -0.340767865469091
+18 0 2 0 0 36 63 64 -0.360096740909948
+18 0 2 0 0 36 64 64 -0.376976225251287
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0.437715543753259
+18 0 1 0 0 36 28 64 0.437649333871927
+18 0 1 0 0 36 30 64 0.435197842719645
+18 0 1 0 0 36 32 64 0.410958618708142
+18 0 1 0 0 36 34 64 0.390820333194428
+18 0 1 0 0 36 36 64 0.352771899242602
+18 0 1 0 0 36 38 64 0.31416702271844
+18 0 1 0 0 36 40 64 0.26510918284048
+18 0 1 0 0 36 42 64 0.21390917166487
+18 0 1 0 0 36 44 64 0.158799924617818
+18 0 1 0 0 36 46 64 0.100046665963641
+18 0 1 0 0 36 48 64 0.0392463211286308
+18 0 1 0 0 36 50 64 -0.0224954560804742
+18 0 1 0 0 36 52 64 -0.0839669441411925
+18 0 1 0 0 36 54 64 -0.14381330983234
+18 0 1 0 0 36 56 64 -0.200605959900457
+18 0 1 0 0 36 58 64 -0.252762417292916
+18 0 1 0 0 36 60 64 -0.299580825418749
+18 0 1 0 0 36 62 64 -0.340767865469091
+18 0 1 0 0 36 64 64 -0.376976225251287
+18 0 1 0 0 36 66 64 -0.403564016776812
+18 0 1 0 0 36 68 64 -0.419433033393477
+18 0 1 0 0 36 70 64 -0.431443982954578
+18 0 1 0 0 36 72 64 -0.430054545372575
+18 0 1 0 0 36 74 64 -0.429267530630403
+18 0 1 0 0 36 76 64 -0.418889568062777
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0.263075076615305
+19 0 2 0 0 36 40 64 0.236029410526095
+19 0 2 0 0 36 41 64 0.212532232716649
+19 0 2 0 0 36 42 64 0.182065951720377
+19 0 2 0 0 36 43 64 0.156215956326248
+19 0 2 0 0 36 44 64 0.124995324743285
+19 0 2 0 0 36 45 64 0.097547057353612
+19 0 2 0 0 36 46 64 0.0649504857715557
+19 0 2 0 0 36 47 64 0.0363190468788562
+19 0 2 0 0 36 48 64 0.00352433304142839
+19 0 2 0 0 36 49 64 -0.0264343686997302
+19 0 2 0 0 36 50 64 -0.0580663864842809
+19 0 2 0 0 36 51 64 -0.0883665391494326
+19 0 2 0 0 36 52 64 -0.118678705960154
+19 0 2 0 0 36 53 64 -0.1481760779244
+19 0 2 0 0 36 54 64 -0.176966750953193
+19 0 2 0 0 36 55 64 -0.204865626939937
+19 0 2 0 0 36 56 64 -0.231442255428755
+19 0 2 0 0 36 57 64 -0.257074194143451
+19 0 2 0 0 36 58 64 -0.280631582033121
+19 0 2 0 0 36 59 64 -0.303516446259484
+19 0 2 0 0 36 60 64 -0.324168066858134
+19 0 2 0 0 36 61 64 -0.344088025967752
+19 0 2 0 0 36 62 64 -0.361570203584461
+19 0 2 0 0 36 63 64 -0.378540336971582
+19 0 2 0 0 36 64 64 -0.393339620173648
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0.233781190842765
+20 0 2 0 0 36 40 64 0.20515149353656
+20 0 2 0 0 36 41 64 0.180539677695616
+20 0 2 0 0 36 42 64 0.149006554262357
+20 0 2 0 0 36 43 64 0.122217004066036
+20 0 2 0 0 36 44 64 0.0903252736294497
+20 0 2 0 0 36 45 64 0.0622049560906578
+20 0 2 0 0 36 46 64 0.0294194676246579
+20 0 2 0 0 36 47 64 0.000732573068101559
+20 0 2 0 0 36 48 64 -0.0322228453468568
+20 0 2 0 0 36 49 64 -0.0617492067936641
+20 0 2 0 0 36 50 64 -0.0932542718054037
+20 0 2 0 0 36 51 64 -0.122894405505454
+20 0 2 0 0 36 52 64 -0.152590749854791
+20 0 2 0 0 36 53 64 -0.181179592750863
+20 0 2 0 0 36 54 64 -0.208907305672015
+20 0 2 0 0 36 55 64 -0.235583499379836
+20 0 2 0 0 36 56 64 -0.26067245370704
+20 0 2 0 0 36 57 64 -0.284769162518272
+20 0 2 0 0 36 58 64 -0.306603054337883
+20 0 2 0 0 36 59 64 -0.327734128297852
+20 0 2 0 0 36 60 64 -0.346607681590669
+20 0 2 0 0 36 61 64 -0.364532754245465
+20 0 2 0 0 36 62 64 -0.379936076596113
+20 0 2 0 0 36 63 64 -0.394959391750905
+20 0 2 0 0 36 64 64 -0.407136143689183
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0.438923568716591
+20 0 1 0 0 36 28 64 0.427784619346778
+20 0 1 0 0 36 30 64 0.415076348374685
+20 0 1 0 0 36 32 64 0.382114404962842
+20 0 1 0 0 36 34 64 0.353680279734636
+20 0 1 0 0 36 36 64 0.306236172242355
+20 0 1 0 0 36 38 64 0.261021009394695
+20 0 1 0 0 36 40 64 0.20515149353656
+20 0 1 0 0 36 42 64 0.149006554262357
+20 0 1 0 0 36 44 64 0.0903252736294497
+20 0 1 0 0 36 46 64 0.0294194676246579
+20 0 1 0 0 36 48 64 -0.0322228453468568
+20 0 1 0 0 36 50 64 -0.0932542718054037
+20 0 1 0 0 36 52 64 -0.152590749854791
+20 0 1 0 0 36 54 64 -0.208907305672015
+20 0 1 0 0 36 56 64 -0.26067245370704
+20 0 1 0 0 36 58 64 -0.306603054337883
+20 0 1 0 0 36 60 64 -0.346607681590669
+20 0 1 0 0 36 62 64 -0.379936076596113
+20 0 1 0 0 36 64 64 -0.407136143689183
+20 0 1 0 0 36 66 64 -0.423814522330388
+20 0 1 0 0 36 68 64 -0.429971956740233
+20 0 1 0 0 36 70 64 -0.432246689973577
+20 0 1 0 0 36 72 64 -0.422220627802645
+20 0 1 0 0 36 74 64 -0.412445649511087
+20 0 1 0 0 36 76 64 -0.391617665816516
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -0.094890862056454
+20 0 0 0 0 36 4 64 0.0307809845928025
+20 0 0 0 0 36 8 64 0.154068747108678
+20 0 0 0 0 36 12 64 0.264878272130144
+20 0 0 0 0 36 16 64 0.354192053446309
+20 0 0 0 0 36 20 64 0.414738079320684
+20 0 0 0 0 36 24 64 0.440984554283522
+20 0 0 0 0 36 28 64 0.427784619346778
+20 0 0 0 0 36 32 64 0.382114404962842
+20 0 0 0 0 36 36 64 0.306236172242355
+20 0 0 0 0 36 40 64 0.20515149353656
+20 0 0 0 0 36 44 64 0.0903252736294497
+20 0 0 0 0 36 48 64 -0.0322228453468568
+20 0 0 0 0 36 52 64 -0.152590749854791
+20 0 0 0 0 36 56 64 -0.26067245370704
+20 0 0 0 0 36 60 64 -0.346607681590669
+20 0 0 0 0 36 64 64 -0.407136143689183
+20 0 0 0 0 36 68 64 -0.429971956740233
+20 0 0 0 0 36 72 64 -0.422220627802645
+20 0 0 0 0 36 76 64 -0.391617665816516
+20 0 0 0 0 36 80 64 -0.311458660209474
+20 0 0 0 0 36 84 64 -0.213069775344911
+20 0 0 0 0 36 88 64 -0.094890862056454
+20 0 0 0 0 36 92 64 0.0307809845928025
+20 0 0 0 0 36 96 64 0.154068747108678
+20 0 0 0 0 36 100 64 0.264878272130144
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0.203091256356989
+21 0 2 0 0 36 40 64 0.173074196799605
+21 0 2 0 0 36 41 64 0.147346762844465
+21 0 2 0 0 36 42 64 0.114953970330314
+21 0 2 0 0 36 43 64 0.0874270699659643
+21 0 2 0 0 36 44 64 0.0550270431171146
+21 0 2 0 0 36 45 64 0.0264085759274269
+21 0 2 0 0 36 46 64 -0.00631021948917585
+21 0 2 0 0 36 47 64 -0.0349329434514331
+21 0 2 0 0 36 48 64 -0.0677500155041685
+21 0 2 0 0 36 49 64 -0.0966414259107335
+21 0 2 0 0 36 50 64 -0.127821779533446
+21 0 2 0 0 36 51 64 -0.156566877355865
+21 0 2 0 0 36 52 64 -0.185474393137036
+21 0 2 0 0 36 53 64 -0.212944344938184
+21 0 2 0 0 36 54 64 -0.239414141764173
+21 0 2 0 0 36 55 64 -0.264679519417985
+21 0 2 0 0 36 56 64 -0.288102689056526
+21 0 2 0 0 36 57 64 -0.310507922996571
+21 0 2 0 0 36 58 64 -0.330520940122539
+21 0 2 0 0 36 59 64 -0.349767731164821
+21 0 2 0 0 36 60 64 -0.366746090048961
+21 0 2 0 0 36 61 64 -0.382544973507294
+21 0 2 0 0 36 62 64 -0.395740443582679
+21 0 2 0 0 36 63 64 -0.408127434002801
+21 0 2 0 0 36 64 64 -0.418061135299103
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0.170846391532457
+22 0 2 0 0 36 40 64 0.139597932005986
+22 0 2 0 0 36 41 64 0.113190353788429
+22 0 2 0 0 36 42 64 0.0801470932337271
+22 0 2 0 0 36 43 64 0.0520862950053709
+22 0 2 0 0 36 44 64 0.0193456224634833
+22 0 2 0 0 36 45 64 -0.00957177986647998
+22 0 2 0 0 36 46 64 -0.0420027311618533
+22 0 2 0 0 36 47 64 -0.0704468463532279
+22 0 2 0 0 36 48 64 -0.102814638426952
+22 0 2 0 0 36 49 64 -0.130895256980618
+22 0 2 0 0 36 50 64 -0.161534989710577
+22 0 2 0 0 36 51 64 -0.189157956709252
+22 0 2 0 0 36 52 64 -0.217107433372312
+22 0 2 0 0 36 53 64 -0.243250082763068
+22 0 2 0 0 36 54 64 -0.268277430943818
+22 0 2 0 0 36 55 64 -0.291952305478566
+22 0 2 0 0 36 56 64 -0.313557409545062
+22 0 2 0 0 36 57 64 -0.33412993096264
+22 0 2 0 0 36 58 64 -0.352242579913134
+22 0 2 0 0 36 59 64 -0.369480955874834
+22 0 2 0 0 36 60 64 -0.384442862348077
+22 0 2 0 0 36 61 64 -0.397975282185172
+22 0 2 0 0 36 62 64 -0.408864720155674
+22 0 2 0 0 36 63 64 -0.419114517807639
+22 0 2 0 0 36 64 64 -0.426216148503005
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0.428141143987063
+22 0 1 0 0 36 28 64 0.406386966844606
+22 0 1 0 0 36 30 64 0.383446961096722
+22 0 1 0 0 36 32 64 0.342858885173416
+22 0 1 0 0 36 34 64 0.306807134995947
+22 0 1 0 0 36 36 64 0.251420157254741
+22 0 1 0 0 36 38 64 0.200952064821515
+22 0 1 0 0 36 40 64 0.139597932005986
+22 0 1 0 0 36 42 64 0.0801470932337271
+22 0 1 0 0 36 44 64 0.0193456224634833
+22 0 1 0 0 36 46 64 -0.0420027311618533
+22 0 1 0 0 36 48 64 -0.102814638426952
+22 0 1 0 0 36 50 64 -0.161534989710577
+22 0 1 0 0 36 52 64 -0.217107433372312
+22 0 1 0 0 36 54 64 -0.268277430943818
+22 0 1 0 0 36 56 64 -0.313557409545062
+22 0 1 0 0 36 58 64 -0.352242579913134
+22 0 1 0 0 36 60 64 -0.384442862348077
+22 0 1 0 0 36 62 64 -0.408864720155674
+22 0 1 0 0 36 64 64 -0.426216148503005
+22 0 1 0 0 36 66 64 -0.432634041462551
+22 0 1 0 0 36 68 64 -0.429292892018297
+22 0 1 0 0 36 70 64 -0.421700564683372
+22 0 1 0 0 36 72 64 -0.403422775289641
+22 0 1 0 0 36 74 64 -0.383931761486946
+22 0 1 0 0 36 76 64 -0.354696985428402
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0.137646806596271
+23 0 2 0 0 36 40 64 0.105383960291136
+23 0 2 0 0 36 41 64 0.0783115665256184
+23 0 2 0 0 36 42 64 0.0448126401298092
+23 0 2 0 0 36 43 64 0.0164314665615862
+23 0 2 0 0 36 44 64 -0.0164687369059106
+23 0 2 0 0 36 45 64 -0.0454631311792923
+23 0 2 0 0 36 46 64 -0.0774229950647567
+23 0 2 0 0 36 47 64 -0.105568964667222
+23 0 2 0 0 36 48 64 -0.137179270829701
+23 0 2 0 0 36 49 64 -0.164302606728185
+23 0 2 0 0 36 50 64 -0.194164804059769
+23 0 2 0 0 36 51 64 -0.220452691772051
+23 0 2 0 0 36 52 64 -0.247275321125827
+23 0 2 0 0 36 53 64 -0.27188601764302
+23 0 2 0 0 36 54 64 -0.295300900720013
+23 0 2 0 0 36 55 64 -0.317215664131767
+23 0 2 0 0 36 56 64 -0.336880367621778
+23 0 2 0 0 36 57 64 -0.355493364882442
+23 0 2 0 0 36 58 64 -0.371636698895632
+23 0 2 0 0 36 59 64 -0.386747914158686
+23 0 2 0 0 36 60 64 -0.399568214505137
+23 0 2 0 0 36 61 64 -0.410727804588891
+23 0 2 0 0 36 62 64 -0.419218756035739
+23 0 2 0 0 36 63 64 -0.426642249401669
+23 0 2 0 0 36 64 64 -0.43143045349846
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0.103308431634272
+24 0 2 0 0 36 40 64 0.0702118612765766
+24 0 2 0 0 36 41 64 0.0429545037457622
+24 0 2 0 0 36 42 64 0.00919079051279049
+24 0 2 0 0 36 43 64 -0.0192971829009936
+24 0 2 0 0 36 44 64 -0.0521636742785657
+24 0 2 0 0 36 45 64 -0.0809962992981119
+24 0 2 0 0 36 46 64 -0.112336843091001
+24 0 2 0 0 36 47 64 -0.140049584442482
+24 0 2 0 0 36 48 64 -0.170613647350069
+24 0 2 0 0 36 49 64 -0.196661333374275
+24 0 2 0 0 36 50 64 -0.22548842419816
+24 0 2 0 0 36 51 64 -0.250249030126683
+24 0 2 0 0 36 52 64 -0.275772351281318
+24 0 2 0 0 36 53 64 -0.298653109315406
+24 0 2 0 0 36 54 64 -0.320304214307567
+24 0 2 0 0 36 55 64 -0.340300805452524
+24 0 2 0 0 36 56 64 -0.357934348979451
+24 0 2 0 0 36 57 64 -0.374473914696896
+24 0 2 0 0 36 58 64 -0.388581555902285
+24 0 2 0 0 36 59 64 -0.401452487053308
+24 0 2 0 0 36 60 64 -0.41200852817173
+24 0 2 0 0 36 61 64 -0.420686736958015
+24 0 2 0 0 36 62 64 -0.426723517989053
+24 0 2 0 0 36 63 64 -0.431906879528236
+24 0 2 0 0 36 64 64 -0.433760960219611
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0.405658256100884
+24 0 1 0 0 36 28 64 0.373350390048786
+24 0 1 0 0 36 30 64 0.341293225210835
+24 0 1 0 0 36 32 64 0.294192068074441
+24 0 1 0 0 36 34 64 0.251347692584009
+24 0 1 0 0 36 36 64 0.189830674569251
+24 0 1 0 0 36 38 64 0.135553108981697
+24 0 1 0 0 36 40 64 0.0702118612765766
+24 0 1 0 0 36 42 64 0.00919079051279049
+24 0 1 0 0 36 44 64 -0.0521636742785657
+24 0 1 0 0 36 46 64 -0.112336843091001
+24 0 1 0 0 36 48 64 -0.170613647350069
+24 0 1 0 0 36 50 64 -0.22548842419816
+24 0 1 0 0 36 52 64 -0.275772351281318
+24 0 1 0 0 36 54 64 -0.320304214307567
+24 0 1 0 0 36 56 64 -0.357934348979451
+24 0 1 0 0 36 58 64 -0.388581555902285
+24 0 1 0 0 36 60 64 -0.41200852817173
+24 0 1 0 0 36 62 64 -0.426723517989053
+24 0 1 0 0 36 64 64 -0.433760960219611
+24 0 1 0 0 36 66 64 -0.429887139060718
+24 0 1 0 0 36 68 64 -0.417521672201071
+24 0 1 0 0 36 70 64 -0.400131804572189
+24 0 1 0 0 36 72 64 -0.374031293845633
+24 0 1 0 0 36 74 64 -0.345973067928579
+24 0 1 0 0 36 76 64 -0.307586835020433
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0.0485730189530789
+24 0 0 0 0 36 4 64 0.171055015627224
+24 0 0 0 0 36 8 64 0.280000570910959
+24 0 0 0 0 36 12 64 0.366254856111116
+24 0 0 0 0 36 16 64 0.422740833845206
+24 0 0 0 0 36 20 64 0.444602087603587
+24 0 0 0 0 36 24 64 0.429703975755115
+24 0 0 0 0 36 28 64 0.373350390048786
+24 0 0 0 0 36 32 64 0.294192068074441
+24 0 0 0 0 36 36 64 0.189830674569251
+24 0 0 0 0 36 40 64 0.0702118612765766
+24 0 0 0 0 36 44 64 -0.0521636742785657
+24 0 0 0 0 36 48 64 -0.170613647350069
+24 0 0 0 0 36 52 64 -0.275772351281318
+24 0 0 0 0 36 56 64 -0.357934348979451
+24 0 0 0 0 36 60 64 -0.41200852817173
+24 0 0 0 0 36 64 64 -0.433760960219611
+24 0 0 0 0 36 68 64 -0.417521672201071
+24 0 0 0 0 36 72 64 -0.374031293845633
+24 0 0 0 0 36 76 64 -0.307586835020433
+24 0 0 0 0 36 80 64 -0.194984338195384
+24 0 0 0 0 36 84 64 -0.0786177094875009
+24 0 0 0 0 36 88 64 0.0485730189530789
+24 0 0 0 0 36 92 64 0.171055015627224
+24 0 0 0 0 36 96 64 0.280000570910959
+24 0 0 0 0 36 100 64 0.366254856111116
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.zl
new file mode 100644
index 000000000..e017b8190
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.zl
@@ -0,0 +1,1757 @@
+# HYDROTOY::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.0902921402510829
+0 0 2 0 0 36 48 52 0.134200273617742
+0 0 2 0 0 36 48 53 0.176638080703433
+0 0 2 0 0 36 48 54 0.217140604013042
+0 0 2 0 0 36 48 55 0.255264089425492
+0 0 2 0 0 36 48 56 0.290590848056751
+0 0 2 0 0 36 48 57 0.322733832546656
+0 0 2 0 0 36 48 58 0.351340877630784
+0 0 2 0 0 36 48 59 0.376098558536783
+0 0 2 0 0 36 48 60 0.39673562493177
+0 0 2 0 0 36 48 61 0.413025972797738
+0 0 2 0 0 36 48 62 0.424791121674493
+0 0 2 0 0 36 48 63 0.431902170128924
+0 0 2 0 0 36 48 64 0.434281208026084
+0 0 2 0 0 36 48 65 0.431902170128924
+0 0 2 0 0 36 48 66 0.424791121674493
+0 0 2 0 0 36 48 67 0.413025972797738
+0 0 2 0 0 36 48 68 0.39673562493177
+0 0 2 0 0 36 48 69 0.376098558536783
+0 0 2 0 0 36 48 70 0.351340877630784
+0 0 2 0 0 36 48 71 0.322733832546656
+0 0 2 0 0 36 48 72 0.290590848056751
+0 0 2 0 0 36 48 73 0.255264089425492
+0 0 2 0 0 36 48 74 0.217140604013042
+0 0 2 0 0 36 48 75 0.176638080703433
+0 0 2 0 0 36 48 76 0.134200273617742
+0 0 2 0 0 36 48 77 0.0902921402510828
+0 0 2 0 0 36 48 78 0.0453947473009874
+0 0 2 0 0 36 48 79 7.0159977117234e-16
+0 0 2 0 0 36 48 80 -0.045394747300986
+0 0 2 0 0 36 48 81 -0.0902921402510813
+0 0 2 0 0 36 48 82 -0.134200273617741
+0 0 2 0 0 36 48 83 -0.176638080703432
+0 0 2 0 0 36 48 84 -0.217140604013041
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -0.434281208026084
+0 0 1 0 0 36 48 36 -0.424791121674492
+0 0 1 0 0 36 48 38 -0.39673562493177
+0 0 1 0 0 36 48 40 -0.351340877630783
+0 0 1 0 0 36 48 42 -0.29059084805675
+0 0 1 0 0 36 48 44 -0.217140604013041
+0 0 1 0 0 36 48 46 -0.134200273617741
+0 0 1 0 0 36 48 48 -0.0453947473009859
+0 0 1 0 0 36 48 50 0.0453947473009874
+0 0 1 0 0 36 48 52 0.134200273617742
+0 0 1 0 0 36 48 54 0.217140604013042
+0 0 1 0 0 36 48 56 0.290590848056751
+0 0 1 0 0 36 48 58 0.351340877630784
+0 0 1 0 0 36 48 60 0.39673562493177
+0 0 1 0 0 36 48 62 0.424791121674493
+0 0 1 0 0 36 48 64 0.434281208026084
+0 0 1 0 0 36 48 66 0.424791121674493
+0 0 1 0 0 36 48 68 0.39673562493177
+0 0 1 0 0 36 48 70 0.351340877630784
+0 0 1 0 0 36 48 72 0.290590848056751
+0 0 1 0 0 36 48 74 0.217140604013042
+0 0 1 0 0 36 48 76 0.134200273617742
+0 0 1 0 0 36 48 78 0.0453947473009874
+0 0 1 0 0 36 48 80 -0.045394747300986
+0 0 1 0 0 36 48 82 -0.134200273617741
+0 0 1 0 0 36 48 84 -0.217140604013041
+0 0 1 0 0 36 48 86 -0.29059084805675
+0 0 1 0 0 36 48 88 -0.351340877630783
+0 0 1 0 0 36 48 90 -0.39673562493177
+0 0 1 0 0 36 48 92 -0.424791121674492
+0 0 1 0 0 36 48 94 -0.434281208026084
+0 0 1 0 0 36 48 96 -0.424791121674493
+0 0 1 0 0 36 48 98 -0.396735624931771
+0 0 1 0 0 36 48 100 -0.351340877630785
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.396735624931772
+0 0 0 0 0 36 48 4 0.434281208026084
+0 0 0 0 0 36 48 8 0.396735624931769
+0 0 0 0 0 36 48 12 0.290590848056749
+0 0 0 0 0 36 48 16 0.134200273617739
+0 0 0 0 0 36 48 20 -0.0453947473009889
+0 0 0 0 0 36 48 24 -0.217140604013044
+0 0 0 0 0 36 48 28 -0.351340877630785
+0 0 0 0 0 36 48 32 -0.424791121674493
+0 0 0 0 0 36 48 36 -0.424791121674492
+0 0 0 0 0 36 48 40 -0.351340877630783
+0 0 0 0 0 36 48 44 -0.217140604013041
+0 0 0 0 0 36 48 48 -0.0453947473009859
+0 0 0 0 0 36 48 52 0.134200273617742
+0 0 0 0 0 36 48 56 0.290590848056751
+0 0 0 0 0 36 48 60 0.39673562493177
+0 0 0 0 0 36 48 64 0.434281208026084
+0 0 0 0 0 36 48 68 0.39673562493177
+0 0 0 0 0 36 48 72 0.290590848056751
+0 0 0 0 0 36 48 76 0.134200273617742
+0 0 0 0 0 36 48 80 -0.045394747300986
+0 0 0 0 0 36 48 84 -0.217140604013041
+0 0 0 0 0 36 48 88 -0.351340877630783
+0 0 0 0 0 36 48 92 -0.424791121674492
+0 0 0 0 0 36 48 96 -0.424791121674493
+0 0 0 0 0 36 48 100 -0.351340877630785
+0 0 0 0 0 36 48 104 -0.217140604013044
+0 0 0 0 0 36 48 108 -0.0453947473009889
+0 0 0 0 0 36 48 112 0.134200273617739
+0 0 0 0 0 36 48 116 0.290590848056749
+0 0 0 0 0 36 48 120 0.396735624931769
+0 0 0 0 0 36 48 124 0.434281208026084
+0 0 0 0 0 36 48 128 0.396735624931772
+0 0 0 0 0 36 48 132 0.290590848056754
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.124777249491736
+1 0 2 0 0 36 48 52 0.167581077277568
+1 0 2 0 0 36 48 53 0.208628535903218
+1 0 2 0 0 36 48 54 0.247299529237573
+1 0 2 0 0 36 48 55 0.283261057178848
+1 0 2 0 0 36 48 56 0.316119117701484
+1 0 2 0 0 36 48 57 0.345513711018404
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+1 0 2 0 0 36 48 59 0.392665757727724
+1 0 2 0 0 36 48 60 0.409906603429176
+1 0 2 0 0 36 48 61 0.422656426604986
+1 0 2 0 0 36 48 62 0.430775537524368
+1 0 2 0 0 36 48 63 0.434174981509057
+1 0 2 0 0 36 48 64 0.432817513539377
+1 0 2 0 0 36 48 65 0.426718006318472
+1 0 2 0 0 36 48 66 0.415943287323858
+1 0 2 0 0 36 48 67 0.400611406631595
+1 0 2 0 0 36 48 68 0.38089034353495
+1 0 2 0 0 36 48 69 0.356996166128108
+1 0 2 0 0 36 48 70 0.329190664018915
+1 0 2 0 0 36 48 71 0.297778480107156
+1 0 2 0 0 36 48 72 0.26310377285319
+1 0 2 0 0 36 48 73 0.225546445605841
+1 0 2 0 0 36 48 74 0.185517984301805
+1 0 2 0 0 36 48 75 0.143456949139625
+1 0 2 0 0 36 48 76 0.0998241696223751
+1 0 2 0 0 36 48 77 0.0550976956131916
+1 0 2 0 0 36 48 78 0.0097675597209359
+1 0 2 0 0 36 48 79 -0.0356695915996156
+1 0 2 0 0 36 48 80 -0.0807159394102598
+1 0 2 0 0 36 48 81 -0.124877946497829
+1 0 2 0 0 36 48 82 -0.167671764671178
+1 0 2 0 0 36 48 83 -0.208533874621243
+1 0 2 0 0 36 48 84 -0.247220569166329
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.158679273461413
+2 0 2 0 0 36 48 52 0.200079272368088
+2 0 2 0 0 36 48 53 0.239219003707111
+2 0 2 0 0 36 48 54 0.275787461769895
+2 0 2 0 0 36 48 55 0.309345880172263
+2 0 2 0 0 36 48 56 0.339513339835813
+2 0 2 0 0 36 48 57 0.365961020300389
+2 0 2 0 0 36 48 58 0.388399155244287
+2 0 2 0 0 36 48 59 0.40658190776558
+2 0 2 0 0 36 48 60 0.420310063822659
+2 0 2 0 0 36 48 61 0.429433214864962
+2 0 2 0 0 36 48 62 0.433851405740526
+2 0 2 0 0 36 48 63 0.433516229825554
+2 0 2 0 0 36 48 64 0.42843135937751
+2 0 2 0 0 36 48 65 0.418652505301101
+2 0 2 0 0 36 48 66 0.404286806767943
+2 0 2 0 0 36 48 67 0.385491657377382
+2 0 2 0 0 36 48 68 0.36247298071928
+2 0 2 0 0 36 48 69 0.335482974232069
+2 0 2 0 0 36 48 70 0.304817346074846
+2 0 2 0 0 36 48 71 0.270812075286897
+2 0 2 0 0 36 48 72 0.233839730731034
+2 0 2 0 0 36 48 73 0.194305389151172
+2 0 2 0 0 36 48 74 0.152642197066754
+2 0 2 0 0 36 48 75 0.109306625128839
+2 0 2 0 0 36 48 76 0.0647734669321304
+2 0 2 0 0 36 48 77 0.019530637076994
+2 0 2 0 0 36 48 78 -0.0259261745250065
+2 0 2 0 0 36 48 79 -0.0710989335335101
+2 0 2 0 0 36 48 80 -0.115492717747812
+2 0 2 0 0 36 48 81 -0.158619506354171
+2 0 2 0 0 36 48 82 -0.200003855279747
+2 0 2 0 0 36 48 83 -0.239269279371058
+2 0 2 0 0 36 48 84 -0.27585918706362
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -0.428426257976849
+2 0 1 0 0 36 48 36 -0.40473471039475
+2 0 1 0 0 36 48 38 -0.362484591883325
+2 0 1 0 0 36 48 40 -0.304814318079276
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+2 0 1 0 0 36 48 48 0.0259802893153777
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+2 0 1 0 0 36 48 54 0.275787461769895
+2 0 1 0 0 36 48 56 0.339513339835813
+2 0 1 0 0 36 48 58 0.388399155244287
+2 0 1 0 0 36 48 60 0.420310063822659
+2 0 1 0 0 36 48 62 0.433851405740526
+2 0 1 0 0 36 48 64 0.42843135937751
+2 0 1 0 0 36 48 66 0.404286806767943
+2 0 1 0 0 36 48 68 0.36247298071928
+2 0 1 0 0 36 48 70 0.304817346074846
+2 0 1 0 0 36 48 72 0.233839730731034
+2 0 1 0 0 36 48 74 0.152642197066754
+2 0 1 0 0 36 48 76 0.0647734669321304
+2 0 1 0 0 36 48 78 -0.0259261745250065
+2 0 1 0 0 36 48 80 -0.115492717747812
+2 0 1 0 0 36 48 82 -0.200003855279747
+2 0 1 0 0 36 48 84 -0.27585918706362
+2 0 1 0 0 36 48 86 -0.339582731565229
+2 0 1 0 0 36 48 88 -0.388464881198701
+2 0 1 0 0 36 48 90 -0.420369251462477
+2 0 1 0 0 36 48 92 -0.433901468281873
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+2 0 1 0 0 36 48 98 -0.36279129967605
+2 0 1 0 0 36 48 100 -0.305497195362384
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.191283729113762
+3 0 2 0 0 36 48 52 0.231003153900096
+3 0 2 0 0 36 48 53 0.26820198398608
+3 0 2 0 0 36 48 54 0.302409204582229
+3 0 2 0 0 36 48 55 0.333343073392695
+3 0 2 0 0 36 48 56 0.360615601887897
+3 0 2 0 0 36 48 57 0.383937780827994
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+3 0 2 0 0 36 48 59 0.417753089644507
+3 0 2 0 0 36 48 60 0.427875785063124
+3 0 2 0 0 36 48 61 0.433310583841825
+3 0 2 0 0 36 48 62 0.433997941187885
+3 0 2 0 0 36 48 63 0.429930326270383
+3 0 2 0 0 36 48 64 0.421152304729559
+3 0 2 0 0 36 48 65 0.407760050406331
+3 0 2 0 0 36 48 66 0.389900291641575
+3 0 2 0 0 36 48 67 0.367768703689713
+3 0 2 0 0 36 48 68 0.341607764859677
+3 0 2 0 0 36 48 69 0.311704099871819
+3 0 2 0 0 36 48 70 0.278385339537488
+3 0 2 0 0 36 48 71 0.242016531167307
+3 0 2 0 0 36 48 72 0.202996139036442
+3 0 2 0 0 36 48 73 0.16175167872662
+3 0 2 0 0 36 48 74 0.118735033175955
+3 0 2 0 0 36 48 75 0.0744175017549108
+3 0 2 0 0 36 48 76 0.0292846366117768
+3 0 2 0 0 36 48 77 -0.0161690771382804
+3 0 2 0 0 36 48 78 -0.0614456390956135
+3 0 2 0 0 36 48 79 -0.106048938734442
+3 0 2 0 0 36 48 80 -0.149489942481286
+3 0 2 0 0 36 48 81 -0.191286317353692
+3 0 2 0 0 36 48 82 -0.23097951810403
+3 0 2 0 0 36 48 83 -0.2681272044006
+3 0 2 0 0 36 48 84 -0.302440129600304
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.222818459459584
+4 0 2 0 0 36 48 52 0.260583290203328
+4 0 2 0 0 36 48 53 0.29537941818447
+4 0 2 0 0 36 48 54 0.32698297167594
+4 0 2 0 0 36 48 55 0.355091623968256
+4 0 2 0 0 36 48 56 0.379283155921082
+4 0 2 0 0 36 48 57 0.39932270449844
+4 0 2 0 0 36 48 58 0.41498662983319
+4 0 2 0 0 36 48 59 0.426103902937744
+4 0 2 0 0 36 48 60 0.432552690853054
+4 0 2 0 0 36 48 61 0.434262340969908
+4 0 2 0 0 36 48 62 0.431214122003859
+4 0 2 0 0 36 48 63 0.423441430879779
+4 0 2 0 0 36 48 64 0.411029426828164
+4 0 2 0 0 36 48 65 0.394114098362783
+4 0 2 0 0 36 48 66 0.372880773362061
+4 0 2 0 0 36 48 67 0.347562088578067
+4 0 2 0 0 36 48 68 0.318435440819568
+4 0 2 0 0 36 48 69 0.285819947734551
+4 0 2 0 0 36 48 70 0.250072951490484
+4 0 2 0 0 36 48 71 0.211586103658758
+4 0 2 0 0 36 48 72 0.170781074198108
+4 0 2 0 0 36 48 73 0.128104931550306
+4 0 2 0 0 36 48 74 0.0840252444647585
+4 0 2 0 0 36 48 75 0.0390249592174423
+4 0 2 0 0 36 48 76 -0.0064028916495577
+4 0 2 0 0 36 48 77 -0.051760589500809
+4 0 2 0 0 36 48 78 -0.0965511668704884
+4 0 2 0 0 36 48 79 -0.140283466666232
+4 0 2 0 0 36 48 80 -0.182477362665715
+4 0 2 0 0 36 48 81 -0.222655784585817
+4 0 2 0 0 36 48 82 -0.260388688551741
+4 0 2 0 0 36 48 83 -0.295421101581927
+4 0 2 0 0 36 48 84 -0.327168839477917
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -0.411432597097011
+4 0 1 0 0 36 48 36 -0.373440430911314
+4 0 1 0 0 36 48 38 -0.318410245310168
+4 0 1 0 0 36 48 40 -0.250069768711064
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+4 0 1 0 0 36 48 58 0.41498662983319
+4 0 1 0 0 36 48 60 0.432552690853054
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+4 0 1 0 0 36 48 64 0.411029426828164
+4 0 1 0 0 36 48 66 0.372880773362061
+4 0 1 0 0 36 48 68 0.318435440819568
+4 0 1 0 0 36 48 70 0.250072951490484
+4 0 1 0 0 36 48 72 0.170781074198108
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+4 0 1 0 0 36 48 76 -0.0064028916495577
+4 0 1 0 0 36 48 78 -0.0965511668704884
+4 0 1 0 0 36 48 80 -0.182477362665715
+4 0 1 0 0 36 48 82 -0.260388688551741
+4 0 1 0 0 36 48 84 -0.327168839477917
+4 0 1 0 0 36 48 86 -0.379439024041273
+4 0 1 0 0 36 48 88 -0.415133263195151
+4 0 1 0 0 36 48 90 -0.432684186716991
+4 0 1 0 0 36 48 92 -0.431324735030215
+4 0 1 0 0 36 48 94 -0.411123436804305
+4 0 1 0 0 36 48 96 -0.373000606906459
+4 0 1 0 0 36 48 98 -0.318607644290521
+4 0 1 0 0 36 48 100 -0.250293695555629
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 0.433425313359762
+4 0 0 0 0 36 48 4 0.411725364080886
+4 0 0 0 0 36 48 8 0.318834358944915
+4 0 0 0 0 36 48 12 0.17081399662815
+4 0 0 0 0 36 48 16 -0.00674165750206535
+4 0 0 0 0 36 48 20 -0.183131617804137
+4 0 0 0 0 36 48 24 -0.327856457689355
+4 0 0 0 0 36 48 28 -0.415891937557671
+4 0 0 0 0 36 48 32 -0.432015923162627
+4 0 0 0 0 36 48 36 -0.373440430911314
+4 0 0 0 0 36 48 40 -0.250069768711064
+4 0 0 0 0 36 48 44 -0.08395284391056
+4 0 0 0 0 36 48 48 0.0966742057689954
+4 0 0 0 0 36 48 52 0.260583290203328
+4 0 0 0 0 36 48 56 0.379283155921082
+4 0 0 0 0 36 48 60 0.432552690853054
+4 0 0 0 0 36 48 64 0.411029426828164
+4 0 0 0 0 36 48 68 0.318435440819568
+4 0 0 0 0 36 48 72 0.170781074198108
+4 0 0 0 0 36 48 76 -0.0064028916495577
+4 0 0 0 0 36 48 80 -0.182477362665715
+4 0 0 0 0 36 48 84 -0.327168839477917
+4 0 0 0 0 36 48 88 -0.415133263195151
+4 0 0 0 0 36 48 92 -0.431324735030215
+4 0 0 0 0 36 48 96 -0.373000606906459
+4 0 0 0 0 36 48 100 -0.250293695555629
+4 0 0 0 0 36 48 104 -0.0838689063915337
+4 0 0 0 0 36 48 108 0.0970575786127523
+4 0 0 0 0 36 48 112 0.261201926534473
+4 0 0 0 0 36 48 116 0.380182088413376
+4 0 0 0 0 36 48 120 0.433425313359762
+4 0 0 0 0 36 48 124 0.411725364080886
+4 0 0 0 0 36 48 128 0.318834358944915
+4 0 0 0 0 36 48 132 0.17081399662815
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.252648022955704
+5 0 2 0 0 36 48 52 0.288207534099786
+5 0 2 0 0 36 48 53 0.320566762548128
+5 0 2 0 0 36 48 54 0.349342242052138
+5 0 2 0 0 36 48 55 0.374445822049273
+5 0 2 0 0 36 48 56 0.395389277846979
+5 0 2 0 0 36 48 57 0.412012068289895
+5 0 2 0 0 36 48 58 0.424118266620723
+5 0 2 0 0 36 48 59 0.431577972725688
+5 0 2 0 0 36 48 60 0.43430919096651
+5 0 2 0 0 36 48 61 0.432282027853839
+5 0 2 0 0 36 48 62 0.425518692460241
+5 0 2 0 0 36 48 63 0.414093285084561
+5 0 2 0 0 36 48 64 0.398130985176334
+5 0 2 0 0 36 48 65 0.377806678717047
+5 0 2 0 0 36 48 66 0.353343043395795
+5 0 2 0 0 36 48 67 0.325008107572014
+5 0 2 0 0 36 48 68 0.293112315090821
+5 0 2 0 0 36 48 69 0.258005122564153
+5 0 2 0 0 36 48 70 0.220071172107441
+5 0 2 0 0 36 48 71 0.179726075654302
+5 0 2 0 0 36 48 72 0.137411862884318
+5 0 2 0 0 36 48 73 0.0935921368169621
+5 0 2 0 0 36 48 74 0.0487469958778765
+5 0 2 0 0 36 48 75 0.00336777254566351
+5 0 2 0 0 36 48 76 -0.0420483477659827
+5 0 2 0 0 36 48 77 -0.0870037534743259
+5 0 2 0 0 36 48 78 -0.131005805444931
+5 0 2 0 0 36 48 79 -0.173570817546252
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+5 0 2 0 0 36 48 81 -0.252515025011828
+5 0 2 0 0 36 48 82 -0.288036007407825
+5 0 2 0 0 36 48 83 -0.320490555135097
+5 0 2 0 0 36 48 84 -0.349532881341967
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.280975527005354
+6 0 2 0 0 36 48 52 0.314079934648802
+6 0 2 0 0 36 48 53 0.343591484954116
+6 0 2 0 0 36 48 54 0.369336390702066
+6 0 2 0 0 36 48 55 0.39127598356035
+6 0 2 0 0 36 48 56 0.408824159175228
+6 0 2 0 0 36 48 57 0.42192045950456
+6 0 2 0 0 36 48 58 0.43038656729507
+6 0 2 0 0 36 48 59 0.43413831772785
+6 0 2 0 0 36 48 60 0.433133373306025
+6 0 2 0 0 36 48 61 0.42738294110982
+6 0 2 0 0 36 48 62 0.416950012239033
+6 0 2 0 0 36 48 63 0.401948890009552
+6 0 2 0 0 36 48 64 0.382543933581744
+6 0 2 0 0 36 48 65 0.358947743691801
+6 0 2 0 0 36 48 66 0.331418849375855
+6 0 2 0 0 36 48 67 0.300258858552344
+6 0 2 0 0 36 48 68 0.265809171128159
+6 0 2 0 0 36 48 69 0.228447220492292
+6 0 2 0 0 36 48 70 0.188582356608245
+6 0 2 0 0 36 48 71 0.14665134268534
+6 0 2 0 0 36 48 72 0.103113588186005
+6 0 2 0 0 36 48 73 0.0584460974933783
+6 0 2 0 0 36 48 74 0.0131382612051783
+6 0 2 0 0 36 48 75 -0.0323135213593963
+6 0 2 0 0 36 48 76 -0.0774112604375
+6 0 2 0 0 36 48 77 -0.121660730400178
+6 0 2 0 0 36 48 78 -0.164576869455386
+6 0 2 0 0 36 48 79 -0.205685314701117
+6 0 2 0 0 36 48 80 -0.244536173829589
+6 0 2 0 0 36 48 81 -0.28066280863994
+6 0 2 0 0 36 48 82 -0.313736071630078
+6 0 2 0 0 36 48 83 -0.343622391577291
+6 0 2 0 0 36 48 84 -0.369703066977284
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -0.38370528771977
+6 0 1 0 0 36 48 36 -0.332765198746708
+6 0 1 0 0 36 48 38 -0.265690626503576
+6 0 1 0 0 36 48 40 -0.188598051330413
+6 0 1 0 0 36 48 42 -0.103032673568356
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+6 0 1 0 0 36 48 46 0.0775848945861849
+6 0 1 0 0 36 48 48 0.164788334574133
+6 0 1 0 0 36 48 50 0.244788358818127
+6 0 1 0 0 36 48 52 0.314079934648802
+6 0 1 0 0 36 48 54 0.369336390702066
+6 0 1 0 0 36 48 56 0.408824159175228
+6 0 1 0 0 36 48 58 0.43038656729507
+6 0 1 0 0 36 48 60 0.433133373306025
+6 0 1 0 0 36 48 62 0.416950012239033
+6 0 1 0 0 36 48 64 0.382543933581744
+6 0 1 0 0 36 48 66 0.331418849375855
+6 0 1 0 0 36 48 68 0.265809171128159
+6 0 1 0 0 36 48 70 0.188582356608245
+6 0 1 0 0 36 48 72 0.103113588186005
+6 0 1 0 0 36 48 74 0.0131382612051783
+6 0 1 0 0 36 48 76 -0.0774112604375
+6 0 1 0 0 36 48 78 -0.164576869455386
+6 0 1 0 0 36 48 80 -0.244536173829589
+6 0 1 0 0 36 48 82 -0.313736071630078
+6 0 1 0 0 36 48 84 -0.369703066977284
+6 0 1 0 0 36 48 86 -0.4090850150387
+6 0 1 0 0 36 48 88 -0.430628215899278
+6 0 1 0 0 36 48 90 -0.433347985017559
+6 0 1 0 0 36 48 92 -0.417131537612005
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+6 0 1 0 0 36 48 96 -0.331694928159683
+6 0 1 0 0 36 48 98 -0.266625098298104
+6 0 1 0 0 36 48 100 -0.189613039192801
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 0.307225125237869
+7 0 2 0 0 36 48 52 0.337658200448032
+7 0 2 0 0 36 48 53 0.364297968767006
+7 0 2 0 0 36 48 54 0.386832166353047
+7 0 2 0 0 36 48 55 0.405469079220054
+7 0 2 0 0 36 48 56 0.419495778632961
+7 0 2 0 0 36 48 57 0.428981352303738
+7 0 2 0 0 36 48 58 0.433748923663958
+7 0 2 0 0 36 48 59 0.433767569447544
+7 0 2 0 0 36 48 60 0.429033031035025
+7 0 2 0 0 36 48 61 0.419597987863378
+7 0 2 0 0 36 48 62 0.405565739323419
+7 0 2 0 0 36 48 63 0.387090017639399
+7 0 2 0 0 36 48 64 0.364373268176164
+7 0 2 0 0 36 48 65 0.337664356764532
+7 0 2 0 0 36 48 66 0.307255936694255
+7 0 2 0 0 36 48 67 0.273481143207233
+7 0 2 0 0 36 48 68 0.236710046401192
+7 0 2 0 0 36 48 69 0.197345491383654
+7 0 2 0 0 36 48 70 0.155818791219573
+7 0 2 0 0 36 48 71 0.112584894617925
+7 0 2 0 0 36 48 72 0.0681175071616086
+7 0 2 0 0 36 48 73 0.022903797771231
+7 0 2 0 0 36 48 74 -0.0225608382638878
+7 0 2 0 0 36 48 75 -0.0677782948563396
+7 0 2 0 0 36 48 76 -0.112253112113204
+7 0 2 0 0 36 48 77 -0.155497575462436
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+7 0 2 0 0 36 48 80 -0.273186757984108
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+7 0 2 0 0 36 48 82 -0.33731942014266
+7 0 2 0 0 36 48 83 -0.364236363958296
+7 0 2 0 0 36 48 84 -0.387252750109948
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 0.331580281083648
+8 0 2 0 0 36 48 52 0.359123095298256
+8 0 2 0 0 36 48 53 0.382544631886032
+8 0 2 0 0 36 48 54 0.401713513494341
+8 0 2 0 0 36 48 55 0.416929332693862
+8 0 2 0 0 36 48 56 0.427330750083864
+8 0 2 0 0 36 48 57 0.433147491387105
+8 0 2 0 0 36 48 58 0.434182032464664
+8 0 2 0 0 36 48 59 0.430468037937031
+8 0 2 0 0 36 48 60 0.422035518211888
+8 0 2 0 0 36 48 61 0.408979374748228
+8 0 2 0 0 36 48 62 0.391442346101417
+8 0 2 0 0 36 48 63 0.369616556046094
+8 0 2 0 0 36 48 64 0.343741214330307
+8 0 2 0 0 36 48 65 0.314099724201829
+8 0 2 0 0 36 48 66 0.281016941426478
+8 0 2 0 0 36 48 67 0.244855227221164
+8 0 2 0 0 36 48 68 0.20601087971094
+8 0 2 0 0 36 48 69 0.164909381865253
+8 0 2 0 0 36 48 70 0.122001154002207
+8 0 2 0 0 36 48 71 0.0777562052011989
+8 0 2 0 0 36 48 72 0.0326593924648049
+8 0 2 0 0 36 48 73 -0.0127952901572259
+8 0 2 0 0 36 48 74 -0.0581097374264967
+8 0 2 0 0 36 48 75 -0.102787521087397
+8 0 2 0 0 36 48 76 -0.146338993198073
+8 0 2 0 0 36 48 77 -0.188285814806328
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+8 0 2 0 0 36 48 79 -0.265533419041254
+8 0 2 0 0 36 48 80 -0.299989400913157
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+8 0 2 0 0 36 48 82 -0.358629914670557
+8 0 2 0 0 36 48 83 -0.382591033346541
+8 0 2 0 0 36 48 84 -0.402324146164598
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -0.34497838292978
+8 0 1 0 0 36 48 36 -0.282090042060091
+8 0 1 0 0 36 48 38 -0.205707553646603
+8 0 1 0 0 36 48 40 -0.122067288180389
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+8 0 1 0 0 36 48 56 0.427330750083864
+8 0 1 0 0 36 48 58 0.434182032464664
+8 0 1 0 0 36 48 60 0.422035518211888
+8 0 1 0 0 36 48 62 0.391442346101417
+8 0 1 0 0 36 48 64 0.343741214330307
+8 0 1 0 0 36 48 66 0.281016941426478
+8 0 1 0 0 36 48 68 0.20601087971094
+8 0 1 0 0 36 48 70 0.122001154002207
+8 0 1 0 0 36 48 72 0.0326593924648049
+8 0 1 0 0 36 48 74 -0.0581097374264967
+8 0 1 0 0 36 48 76 -0.146338993198073
+8 0 1 0 0 36 48 78 -0.228168198318799
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+8 0 1 0 0 36 48 98 -0.206344549287396
+8 0 1 0 0 36 48 100 -0.122161005946473
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 0.424083834070079
+8 0 0 0 0 36 48 4 0.345214503330213
+8 0 0 0 0 36 48 8 0.206654448789242
+8 0 0 0 0 36 48 12 0.0323619626558851
+8 0 0 0 0 36 48 16 -0.147526200819875
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+8 0 0 0 0 36 48 44 0.0583121216602564
+8 0 0 0 0 36 48 48 0.228492460117135
+8 0 0 0 0 36 48 52 0.359123095298256
+8 0 0 0 0 36 48 56 0.427330750083864
+8 0 0 0 0 36 48 60 0.422035518211888
+8 0 0 0 0 36 48 64 0.343741214330307
+8 0 0 0 0 36 48 68 0.20601087971094
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+8 0 0 0 0 36 48 76 -0.146338993198073
+8 0 0 0 0 36 48 80 -0.299989400913157
+8 0 0 0 0 36 48 84 -0.402324146164598
+8 0 0 0 0 36 48 88 -0.434533312464675
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+8 0 0 0 0 36 48 100 -0.122161005946473
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+8 0 0 0 0 36 48 112 0.360880497287356
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+8 0 0 0 0 36 48 128 0.206654448789242
+8 0 0 0 0 36 48 132 0.0323619626558851
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 0.353539927803168
+9 0 2 0 0 36 48 52 0.378018163971518
+9 0 2 0 0 36 48 53 0.398209321703248
+9 0 2 0 0 36 48 54 0.4138827204651
+9 0 2 0 0 36 48 55 0.425578788913877
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+9 0 2 0 0 36 48 62 0.374674488685556
+9 0 2 0 0 36 48 63 0.349645712520489
+9 0 2 0 0 36 48 64 0.32078627833161
+9 0 2 0 0 36 48 65 0.288412098122736
+9 0 2 0 0 36 48 66 0.25287816458903
+9 0 2 0 0 36 48 67 0.214573491329986
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+9 0 2 0 0 36 48 70 0.0873569047237375
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+9 0 2 0 0 36 48 72 -0.00302216781324817
+9 0 2 0 0 36 48 73 -0.0484109253107452
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+9 0 2 0 0 36 48 83 -0.398203170517988
+9 0 2 0 0 36 48 84 -0.414586785304429
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 0.373263848046011
+10 0 2 0 0 36 48 52 0.394495558210471
+10 0 2 0 0 36 48 53 0.411185012203604
+10 0 2 0 0 36 48 54 0.423259709532163
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+10 0 2 0 0 36 48 67 0.182839028703846
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+10 0 2 0 0 36 48 83 -0.411292915435026
+10 0 2 0 0 36 48 84 -0.424150824141709
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -0.297835430749768
+10 0 1 0 0 36 48 36 -0.224986563670818
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+10 0 1 0 0 36 48 58 0.426264011469108
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+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.390339818072221
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+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.404899343256152
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+12 0 2 0 0 36 48 84 -0.434582350659667
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -0.241434864484946
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+12 0 1 0 0 36 48 100 0.0197276725440023
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 0.369572773464889
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 0.416632132872062
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 0.425635612824738
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+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -0.179799551785551
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+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+16 0 0 0 0 36 48 128 -0.0712961175258543
+16 0 0 0 0 36 48 132 -0.242033020513044
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 0.435186528682669
+17 0 2 0 0 36 48 52 0.431064354313277
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 0.432519504282882
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+18 0 2 0 0 36 48 84 -0.396090025866516
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -0.0420118149836822
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+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 0.42697082128212
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+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 0.418506683983778
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+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 0.0306996031603672
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+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 0.151678426057518
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+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 0.407296493016967
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+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 0.39326727169751
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+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+23 0 2 0 0 36 48 81 -0.375959334211588
+23 0 2 0 0 36 48 82 -0.351180691692659
+23 0 2 0 0 36 48 83 -0.322878809452937
+23 0 2 0 0 36 48 84 -0.290871806603353
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 0.357476583788319
+24 0 2 0 0 36 48 52 0.329215826954613
+24 0 2 0 0 36 48 53 0.295603708754411
+24 0 2 0 0 36 48 54 0.261536533418475
+24 0 2 0 0 36 48 55 0.223233946360149
+24 0 2 0 0 36 48 56 0.183293813708747
+24 0 2 0 0 36 48 57 0.140991210531024
+24 0 2 0 0 36 48 58 0.0970861351112604
+24 0 2 0 0 36 48 59 0.052473790729879
+24 0 2 0 0 36 48 60 0.00676252120268886
+24 0 2 0 0 36 48 61 -0.0384779819576885
+24 0 2 0 0 36 48 62 -0.0837447006849023
+24 0 2 0 0 36 48 63 -0.127787502161366
+24 0 2 0 0 36 48 64 -0.170613647350069
+24 0 2 0 0 36 48 65 -0.211483969379697
+24 0 2 0 0 36 48 66 -0.250073767322059
+24 0 2 0 0 36 48 67 -0.285915625191215
+24 0 2 0 0 36 48 68 -0.318623368834956
+24 0 2 0 0 36 48 69 -0.347840707925321
+24 0 2 0 0 36 48 70 -0.373245361727959
+24 0 2 0 0 36 48 71 -0.394542526435674
+24 0 2 0 0 36 48 72 -0.411531906922821
+24 0 2 0 0 36 48 73 -0.423955779812406
+24 0 2 0 0 36 48 74 -0.431805098001031
+24 0 2 0 0 36 48 75 -0.434840006686559
+24 0 2 0 0 36 48 76 -0.433280559296053
+24 0 2 0 0 36 48 77 -0.426914583769374
+24 0 2 0 0 36 48 78 -0.416062701209922
+24 0 2 0 0 36 48 79 -0.400582382431662
+24 0 2 0 0 36 48 80 -0.380815244751685
+24 0 2 0 0 36 48 81 -0.356801327387062
+24 0 2 0 0 36 48 82 -0.328945405766233
+24 0 2 0 0 36 48 83 -0.297782181203324
+24 0 2 0 0 36 48 84 -0.263202801753093
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 0.170491292048904
+24 0 1 0 0 36 48 36 0.251606755694081
+24 0 1 0 0 36 48 38 0.322006357236001
+24 0 1 0 0 36 48 40 0.371463274265607
+24 0 1 0 0 36 48 42 0.414176212528562
+24 0 1 0 0 36 48 44 0.432282275166426
+24 0 1 0 0 36 48 46 0.435249989171102
+24 0 1 0 0 36 48 48 0.417242546342549
+24 0 1 0 0 36 48 50 0.381718698956742
+24 0 1 0 0 36 48 52 0.329215826954613
+24 0 1 0 0 36 48 54 0.261536533418475
+24 0 1 0 0 36 48 56 0.183293813708747
+24 0 1 0 0 36 48 58 0.0970861351112604
+24 0 1 0 0 36 48 60 0.00676252120268886
+24 0 1 0 0 36 48 62 -0.0837447006849023
+24 0 1 0 0 36 48 64 -0.170613647350069
+24 0 1 0 0 36 48 66 -0.250073767322059
+24 0 1 0 0 36 48 68 -0.318623368834956
+24 0 1 0 0 36 48 70 -0.373245361727959
+24 0 1 0 0 36 48 72 -0.411531906922821
+24 0 1 0 0 36 48 74 -0.431805098001031
+24 0 1 0 0 36 48 76 -0.433280559296053
+24 0 1 0 0 36 48 78 -0.416062701209922
+24 0 1 0 0 36 48 80 -0.380815244751685
+24 0 1 0 0 36 48 82 -0.328945405766233
+24 0 1 0 0 36 48 84 -0.263202801753093
+24 0 1 0 0 36 48 86 -0.184772987239782
+24 0 1 0 0 36 48 88 -0.0992013366563129
+24 0 1 0 0 36 48 90 -0.00903059492619241
+24 0 1 0 0 36 48 92 0.0812869943280549
+24 0 1 0 0 36 48 94 0.167369510089434
+24 0 1 0 0 36 48 96 0.247652638073146
+24 0 1 0 0 36 48 98 0.321742510395809
+24 0 1 0 0 36 48 100 0.381850314951685
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 0.0110331633677701
+24 0 0 0 0 36 48 4 -0.171045926354557
+24 0 0 0 0 36 48 8 -0.323549724262519
+24 0 0 0 0 36 48 12 -0.420108814412136
+24 0 0 0 0 36 48 16 -0.444027298248502
+24 0 0 0 0 36 48 20 -0.391169224766565
+24 0 0 0 0 36 48 24 -0.270682860524524
+24 0 0 0 0 36 48 28 -0.103408478079912
+24 0 0 0 0 36 48 32 0.081352136695322
+24 0 0 0 0 36 48 36 0.251606755694081
+24 0 0 0 0 36 48 40 0.371463274265607
+24 0 0 0 0 36 48 44 0.432282275166426
+24 0 0 0 0 36 48 48 0.417242546342549
+24 0 0 0 0 36 48 52 0.329215826954613
+24 0 0 0 0 36 48 56 0.183293813708747
+24 0 0 0 0 36 48 60 0.00676252120268886
+24 0 0 0 0 36 48 64 -0.170613647350069
+24 0 0 0 0 36 48 68 -0.318623368834956
+24 0 0 0 0 36 48 72 -0.411531906922821
+24 0 0 0 0 36 48 76 -0.433280559296053
+24 0 0 0 0 36 48 80 -0.380815244751685
+24 0 0 0 0 36 48 84 -0.263202801753093
+24 0 0 0 0 36 48 88 -0.0992013366563129
+24 0 0 0 0 36 48 92 0.0812869943280549
+24 0 0 0 0 36 48 96 0.247652638073146
+24 0 0 0 0 36 48 100 0.381850314951685
+24 0 0 0 0 36 48 104 0.44130787554242
+24 0 0 0 0 36 48 108 0.427042825663722
+24 0 0 0 0 36 48 112 0.338304334795428
+24 0 0 0 0 36 48 116 0.1912071158588
+24 0 0 0 0 36 48 120 0.0110331633677701
+24 0 0 0 0 36 48 124 -0.171045926354557
+24 0 0 0 0 36 48 128 -0.323549724262519
+24 0 0 0 0 36 48 132 -0.420108814412136
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.xl
new file mode 100644
index 000000000..2eadc8466
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.xl
@@ -0,0 +1,1082 @@
+# HYDROTOY::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.374387331157387
+0 0 2 0 0 28 48 64 0.426199910483233
+0 0 2 0 0 29 48 64 0.473342954401761
+0 0 2 0 0 30 48 64 0.515299953858481
+0 0 2 0 0 31 48 64 0.55161121918728
+0 0 2 0 0 32 48 64 0.581878916566594
+0 0 2 0 0 33 48 64 0.605771426770014
+0 0 2 0 0 34 48 64 0.62302697845592
+0 0 2 0 0 35 48 64 0.633456516189086
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 37 48 64 0.633456516189086
+0 0 2 0 0 38 48 64 0.62302697845592
+0 0 2 0 0 39 48 64 0.605771426770014
+0 0 2 0 0 40 48 64 0.581878916566594
+0 0 2 0 0 41 48 64 0.55161121918728
+0 0 2 0 0 42 48 64 0.515299953858481
+0 0 2 0 0 43 48 64 0.47334295440176
+0 0 2 0 0 44 48 64 0.426199910483233
+0 0 2 0 0 45 48 64 0.374387331157387
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -0.196827067972686
+0 0 1 0 0 20 48 64 -0.0665789627081124
+0 0 1 0 0 22 48 64 0.0665789627081145
+0 0 1 0 0 24 48 64 0.196827067972688
+0 0 1 0 0 26 48 64 0.318472885885794
+0 0 1 0 0 28 48 64 0.426199910483233
+0 0 1 0 0 30 48 64 0.515299953858481
+0 0 1 0 0 32 48 64 0.581878916566594
+0 0 1 0 0 34 48 64 0.62302697845592
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 38 48 64 0.62302697845592
+0 0 1 0 0 40 48 64 0.581878916566594
+0 0 1 0 0 42 48 64 0.515299953858481
+0 0 1 0 0 44 48 64 0.426199910483233
+0 0 1 0 0 46 48 64 0.318472885885794
+0 0 1 0 0 48 48 64 0.196827067972688
+0 0 1 0 0 50 48 64 0.0665789627081145
+0 0 1 0 0 52 48 64 -0.0665789627081126
+0 0 1 0 0 54 48 64 -0.196827067972686
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.515299953858482
+0 0 0 0 0 4 48 64 -0.62302697845592
+0 0 0 0 0 8 48 64 -0.62302697845592
+0 0 0 0 0 12 48 64 -0.51529995385848
+0 0 0 0 0 16 48 64 -0.318472885885792
+0 0 0 0 0 20 48 64 -0.0665789627081124
+0 0 0 0 0 24 48 64 0.196827067972688
+0 0 0 0 0 28 48 64 0.426199910483233
+0 0 0 0 0 32 48 64 0.581878916566594
+0 0 0 0 0 36 48 64 0.636945771771587
+0 0 0 0 0 40 48 64 0.581878916566594
+0 0 0 0 0 44 48 64 0.426199910483233
+0 0 0 0 0 48 48 64 0.196827067972688
+0 0 0 0 0 52 48 64 -0.0665789627081126
+0 0 0 0 0 56 48 64 -0.318472885885792
+0 0 0 0 0 60 48 64 -0.51529995385848
+0 0 0 0 0 64 48 64 -0.62302697845592
+0 0 0 0 0 68 48 64 -0.62302697845592
+0 0 0 0 0 72 48 64 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.415209098701788
+1 0 2 0 0 28 48 64 0.463442390111039
+1 0 2 0 0 29 48 64 0.506720764229297
+1 0 2 0 0 30 48 64 0.544285038367555
+1 0 2 0 0 31 48 64 0.575886011726491
+1 0 2 0 0 32 48 64 0.601177457429056
+1 0 2 0 0 33 48 64 0.619882277103558
+1 0 2 0 0 34 48 64 0.631795536831408
+1 0 2 0 0 35 48 64 0.636786712446016
+1 0 2 0 0 36 48 64 0.63480111958288
+1 0 2 0 0 37 48 64 0.625860512812919
+1 0 2 0 0 38 48 64 0.610062847294848
+1 0 2 0 0 39 48 64 0.587581205557956
+1 0 2 0 0 40 48 64 0.558661901173699
+1 0 2 0 0 41 48 64 0.523621780092664
+1 0 2 0 0 42 48 64 0.482844749214032
+1 0 2 0 0 43 48 64 0.436777570221252
+1 0 2 0 0 44 48 64 0.386133747478479
+1 0 2 0 0 45 48 64 0.331051619143378
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.453478940794559
+2 0 2 0 0 28 48 64 0.497773510679683
+2 0 2 0 0 29 48 64 0.536688967511857
+2 0 2 0 0 30 48 64 0.569597092812548
+2 0 2 0 0 31 48 64 0.596276401871507
+2 0 2 0 0 32 48 64 0.616420941848547
+2 0 2 0 0 33 48 64 0.62981184499232
+2 0 2 0 0 34 48 64 0.636302397765754
+2 0 2 0 0 35 48 64 0.63582148831443
+2 0 2 0 0 36 48 64 0.628374385582933
+2 0 2 0 0 37 48 64 0.614042681587195
+2 0 2 0 0 38 48 64 0.592983397475296
+2 0 2 0 0 39 48 64 0.565427263170904
+2 0 2 0 0 40 48 64 0.53167618944795
+2 0 2 0 0 41 48 64 0.492099960133009
+2 0 2 0 0 42 48 64 0.447134420187562
+2 0 2 0 0 43 48 64 0.397278083529842
+2 0 2 0 0 44 48 64 0.343265013492209
+2 0 2 0 0 45 48 64 0.285282407381633
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -0.0973195350500494
+2 0 1 0 0 20 48 64 0.0356668155049764
+2 0 1 0 0 22 48 64 0.169077922714169
+2 0 1 0 0 24 48 64 0.293071522772708
+2 0 1 0 0 26 48 64 0.404256490972886
+2 0 1 0 0 28 48 64 0.497773510679683
+2 0 1 0 0 30 48 64 0.569597092812548
+2 0 1 0 0 32 48 64 0.616420941848547
+2 0 1 0 0 34 48 64 0.636302397765754
+2 0 1 0 0 36 48 64 0.628374385582933
+2 0 1 0 0 38 48 64 0.592983397475296
+2 0 1 0 0 40 48 64 0.53167618944795
+2 0 1 0 0 42 48 64 0.447134420187562
+2 0 1 0 0 44 48 64 0.343265013492209
+2 0 1 0 0 46 48 64 0.22419968498093
+2 0 1 0 0 48 48 64 0.0953357544065353
+2 0 1 0 0 50 48 64 -0.0376948061071308
+2 0 1 0 0 52 48 64 -0.167163605655932
+2 0 1 0 0 54 48 64 -0.291147369612687
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.488470782327327
+3 0 2 0 0 28 48 64 0.528554108613341
+3 0 2 0 0 29 48 64 0.563043782114253
+3 0 2 0 0 30 48 64 0.591062482933432
+3 0 2 0 0 31 48 64 0.612645321142796
+3 0 2 0 0 32 48 64 0.627506422186431
+3 0 2 0 0 33 48 64 0.635493090592529
+3 0 2 0 0 34 48 64 0.636517106211236
+3 0 2 0 0 35 48 64 0.630567307214526
+3 0 2 0 0 36 48 64 0.617708880845281
+3 0 2 0 0 37 48 64 0.598082706713601
+3 0 2 0 0 38 48 64 0.571903813290315
+3 0 2 0 0 39 48 64 0.539459022010052
+3 0 2 0 0 40 48 64 0.501103874780317
+3 0 2 0 0 41 48 64 0.457259140689453
+3 0 2 0 0 42 48 64 0.40841484135673
+3 0 2 0 0 43 48 64 0.355110279896867
+3 0 2 0 0 44 48 64 0.298338684858483
+3 0 2 0 0 45 48 64 0.237875601223406
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.520428747659601
+4 0 2 0 0 28 48 64 0.555997238437288
+4 0 2 0 0 29 48 64 0.585602740906243
+4 0 2 0 0 30 48 64 0.608534466478922
+4 0 2 0 0 31 48 64 0.624883166541849
+4 0 2 0 0 32 48 64 0.634358701063624
+4 0 2 0 0 33 48 64 0.636887661799231
+4 0 2 0 0 34 48 64 0.632438163105044
+4 0 2 0 0 35 48 64 0.621059569207628
+4 0 2 0 0 36 48 64 0.602876514907985
+4 0 2 0 0 37 48 64 0.578088219350988
+4 0 2 0 0 38 48 64 0.546966270477068
+4 0 2 0 0 39 48 64 0.509851675025422
+4 0 2 0 0 40 48 64 0.467151693939592
+4 0 2 0 0 41 48 64 0.419335826201633
+4 0 2 0 0 42 48 64 0.366951132038764
+4 0 2 0 0 43 48 64 0.31055931651234
+4 0 2 0 0 44 48 64 0.251106436132613
+4 0 2 0 0 45 48 64 0.188536092335439
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0.00664574421749242
+4 0 1 0 0 20 48 64 0.139079131940516
+4 0 1 0 0 22 48 64 0.267168672263801
+4 0 1 0 0 24 48 64 0.381444723732171
+4 0 1 0 0 26 48 64 0.479205430551592
+4 0 1 0 0 28 48 64 0.555997238437288
+4 0 1 0 0 30 48 64 0.608534466478922
+4 0 1 0 0 32 48 64 0.634358701063624
+4 0 1 0 0 34 48 64 0.632438163105044
+4 0 1 0 0 36 48 64 0.602876514907985
+4 0 1 0 0 38 48 64 0.546966270477068
+4 0 1 0 0 40 48 64 0.467151693939592
+4 0 1 0 0 42 48 64 0.366951132038764
+4 0 1 0 0 44 48 64 0.251106436132613
+4 0 1 0 0 46 48 64 0.123895196481674
+4 0 1 0 0 48 48 64 -0.00870905206088087
+4 0 1 0 0 50 48 64 -0.140871868994753
+4 0 1 0 0 52 48 64 -0.265429365246958
+4 0 1 0 0 54 48 64 -0.379908726375628
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.608492170320791
+4 0 0 0 0 4 48 64 -0.633457407715208
+4 0 0 0 0 8 48 64 -0.548892104535778
+4 0 0 0 0 12 48 64 -0.369418369953888
+4 0 0 0 0 16 48 64 -0.126068843146438
+4 0 0 0 0 20 48 64 0.139079131940516
+4 0 0 0 0 24 48 64 0.381444723732171
+4 0 0 0 0 28 48 64 0.555997238437288
+4 0 0 0 0 32 48 64 0.634358701063624
+4 0 0 0 0 36 48 64 0.602876514907985
+4 0 0 0 0 40 48 64 0.467151693939592
+4 0 0 0 0 44 48 64 0.251106436132613
+4 0 0 0 0 48 48 64 -0.00870905206088087
+4 0 0 0 0 52 48 64 -0.265429365246958
+4 0 0 0 0 56 48 64 -0.478313108700085
+4 0 0 0 0 60 48 64 -0.608492170320791
+4 0 0 0 0 64 48 64 -0.633457407715208
+4 0 0 0 0 68 48 64 -0.548892104535778
+4 0 0 0 0 72 48 64 -0.369418369953888
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.548671716637726
+5 0 2 0 0 28 48 64 0.579511990105486
+5 0 2 0 0 29 48 64 0.604212729667995
+5 0 2 0 0 30 48 64 0.621895429381323
+5 0 2 0 0 31 48 64 0.632908205148661
+5 0 2 0 0 32 48 64 0.636930754567794
+5 0 2 0 0 33 48 64 0.633986208601161
+5 0 2 0 0 34 48 64 0.624093016065301
+5 0 2 0 0 35 48 64 0.607362373541029
+5 0 2 0 0 36 48 64 0.58397731091608
+5 0 2 0 0 37 48 64 0.554194073175253
+5 0 2 0 0 38 48 64 0.518339004494465
+5 0 2 0 0 39 48 64 0.476805095685047
+5 0 2 0 0 40 48 64 0.43004983326259
+5 0 2 0 0 41 48 64 0.378587818452475
+5 0 2 0 0 42 48 64 0.323026317797251
+5 0 2 0 0 43 48 64 0.263923161260514
+5 0 2 0 0 44 48 64 0.202495145593503
+5 0 2 0 0 45 48 64 0.138267322671338
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.573427336349663
+6 0 2 0 0 28 48 64 0.59929533363328
+6 0 2 0 0 29 48 64 0.618744058306444
+6 0 2 0 0 30 48 64 0.63105619572436
+6 0 2 0 0 31 48 64 0.636666841978703
+6 0 2 0 0 32 48 64 0.635204159619726
+6 0 2 0 0 33 48 64 0.626808494384442
+6 0 2 0 0 34 48 64 0.611537830338987
+6 0 2 0 0 35 48 64 0.589568091501506
+6 0 2 0 0 36 48 64 0.561138730770607
+6 0 2 0 0 37 48 64 0.526561442935419
+6 0 2 0 0 38 48 64 0.486215241910134
+6 0 2 0 0 39 48 64 0.440542597540113
+6 0 2 0 0 40 48 64 0.390050448904898
+6 0 2 0 0 41 48 64 0.335292139187568
+6 0 2 0 0 42 48 64 0.276937991261975
+6 0 2 0 0 43 48 64 0.215514844045134
+6 0 2 0 0 44 48 64 0.152195853814852
+6 0 2 0 0 45 48 64 0.0867144527560678
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.108142445428163
+6 0 1 0 0 20 48 64 0.236597711331569
+6 0 1 0 0 22 48 64 0.358190960248211
+6 0 1 0 0 24 48 64 0.459529909846979
+6 0 1 0 0 26 48 64 0.541309732279853
+6 0 1 0 0 28 48 64 0.59929533363328
+6 0 1 0 0 30 48 64 0.63105619572436
+6 0 1 0 0 32 48 64 0.635204159619726
+6 0 1 0 0 34 48 64 0.611537830338987
+6 0 1 0 0 36 48 64 0.561138730770607
+6 0 1 0 0 38 48 64 0.486215241910134
+6 0 1 0 0 40 48 64 0.390050448904898
+6 0 1 0 0 42 48 64 0.276937991261975
+6 0 1 0 0 44 48 64 0.152195853814852
+6 0 1 0 0 46 48 64 0.0202583057932263
+6 0 1 0 0 48 48 64 -0.112477193494334
+6 0 1 0 0 50 48 64 -0.240209113822161
+6 0 1 0 0 52 48 64 -0.354596862110213
+6 0 1 0 0 54 48 64 -0.456605980688555
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.594160091951463
+7 0 2 0 0 28 48 64 0.61490507221379
+7 0 2 0 0 29 48 64 0.629099330915044
+7 0 2 0 0 30 48 64 0.635957776881836
+7 0 2 0 0 31 48 64 0.636133762800463
+7 0 2 0 0 32 48 64 0.629189408707554
+7 0 2 0 0 33 48 64 0.615403268682931
+7 0 2 0 0 34 48 64 0.594857050277953
+7 0 2 0 0 35 48 64 0.567796753770568
+7 0 2 0 0 36 48 64 0.534514814654423
+7 0 2 0 0 37 48 64 0.495376757521015
+7 0 2 0 0 38 48 64 0.450811997724897
+7 0 2 0 0 39 48 64 0.401309520087472
+7 0 2 0 0 40 48 64 0.347425820508212
+7 0 2 0 0 41 48 64 0.289742729730598
+7 0 2 0 0 42 48 64 0.228996994068136
+7 0 2 0 0 43 48 64 0.16565701444677
+7 0 2 0 0 44 48 64 0.101202924513235
+7 0 2 0 0 45 48 64 0.0349342582130777
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.611045409887396
+8 0 2 0 0 28 48 64 0.626488604782643
+8 0 2 0 0 29 48 64 0.635205954932862
+8 0 2 0 0 30 48 64 0.63656965963862
+8 0 2 0 0 31 48 64 0.631312006545569
+8 0 2 0 0 32 48 64 0.618926146155333
+8 0 2 0 0 33 48 64 0.5998478902699
+8 0 2 0 0 34 48 64 0.574162773087344
+8 0 2 0 0 35 48 64 0.542195254708906
+8 0 2 0 0 36 48 64 0.504285141633512
+8 0 2 0 0 37 48 64 0.460850478128889
+8 0 2 0 0 38 48 64 0.412368725545547
+8 0 2 0 0 39 48 64 0.359371606917715
+8 0 2 0 0 40 48 64 0.302466210339293
+8 0 2 0 0 41 48 64 0.242248071258209
+8 0 2 0 0 42 48 64 0.179524651499154
+8 0 2 0 0 43 48 64 0.114683077073106
+8 0 2 0 0 44 48 64 0.0491849031164616
+8 0 2 0 0 45 48 64 -0.017445878487619
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.20968420398198
+8 0 1 0 0 20 48 64 0.330575978767116
+8 0 1 0 0 22 48 64 0.439660375301469
+8 0 1 0 0 24 48 64 0.525204060989606
+8 0 1 0 0 26 48 64 0.588905958761368
+8 0 1 0 0 28 48 64 0.626488604782643
+8 0 1 0 0 30 48 64 0.63656965963862
+8 0 1 0 0 32 48 64 0.618926146155333
+8 0 1 0 0 34 48 64 0.574162773087344
+8 0 1 0 0 36 48 64 0.504285141633512
+8 0 1 0 0 38 48 64 0.412368725545547
+8 0 1 0 0 40 48 64 0.302466210339293
+8 0 1 0 0 42 48 64 0.179524651499154
+8 0 1 0 0 44 48 64 0.0491849031164616
+8 0 1 0 0 46 48 64 -0.0839154065506538
+8 0 1 0 0 48 48 64 -0.213164280783148
+8 0 1 0 0 50 48 64 -0.333101480511354
+8 0 1 0 0 52 48 64 -0.436925889369356
+8 0 1 0 0 54 48 64 -0.52361818793217
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -0.638086200378305
+8 0 0 0 0 4 48 64 -0.577480248216561
+8 0 0 0 0 8 48 64 -0.417022714894814
+8 0 0 0 0 12 48 64 -0.184458165635327
+8 0 0 0 0 16 48 64 0.0800008762123353
+8 0 0 0 0 20 48 64 0.330575978767116
+8 0 0 0 0 24 48 64 0.525204060989606
+8 0 0 0 0 28 48 64 0.626488604782643
+8 0 0 0 0 32 48 64 0.618926146155333
+8 0 0 0 0 36 48 64 0.504285141633512
+8 0 0 0 0 40 48 64 0.302466210339293
+8 0 0 0 0 44 48 64 0.0491849031164616
+8 0 0 0 0 48 48 64 -0.213164280783148
+8 0 0 0 0 52 48 64 -0.436925889369356
+8 0 0 0 0 56 48 64 -0.588361251663493
+8 0 0 0 0 60 48 64 -0.638086200378305
+8 0 0 0 0 64 48 64 -0.577480248216561
+8 0 0 0 0 68 48 64 -0.417022714894814
+8 0 0 0 0 72 48 64 -0.184458165635327
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.623706319738857
+9 0 2 0 0 28 48 64 0.63376527138927
+9 0 2 0 0 29 48 64 0.637025157945825
+9 0 2 0 0 30 48 64 0.632891063854723
+9 0 2 0 0 31 48 64 0.622232974196344
+9 0 2 0 0 32 48 64 0.604483147556828
+9 0 2 0 0 33 48 64 0.580247693053203
+9 0 2 0 0 34 48 64 0.549593963782722
+9 0 2 0 0 35 48 64 0.512936375305374
+9 0 2 0 0 36 48 64 0.470653621489612
+9 0 2 0 0 37 48 64 0.423215728697588
+9 0 2 0 0 38 48 64 0.37114579462717
+9 0 2 0 0 39 48 64 0.315013162267719
+9 0 2 0 0 40 48 64 0.255477456121705
+9 0 2 0 0 41 48 64 0.193128772789227
+9 0 2 0 0 42 48 64 0.128851579171497
+9 0 2 0 0 43 48 64 0.0629329399379178
+9 0 2 0 0 44 48 64 -0.00282097332470717
+9 0 2 0 0 45 48 64 -0.0693425258313226
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.63226258972111
+10 0 2 0 0 28 48 64 0.636828625350526
+10 0 2 0 0 29 48 64 0.634543111298931
+10 0 2 0 0 30 48 64 0.624948639700647
+10 0 2 0 0 31 48 64 0.608956358353023
+10 0 2 0 0 32 48 64 0.58595806783613
+10 0 2 0 0 33 48 64 0.556735124905607
+10 0 2 0 0 34 48 64 0.521315540588543
+10 0 2 0 0 35 48 64 0.480217626748754
+10 0 2 0 0 36 48 64 0.433847130934919
+10 0 2 0 0 37 48 64 0.382726780761295
+10 0 2 0 0 38 48 64 0.327422764409982
+10 0 2 0 0 39 48 64 0.268534983861933
+10 0 2 0 0 40 48 64 0.206778434804553
+10 0 2 0 0 41 48 64 0.142715257625943
+10 0 2 0 0 42 48 64 0.0773155042236337
+10 0 2 0 0 43 48 64 0.0107528663652538
+10 0 2 0 0 44 48 64 -0.0551604504938584
+10 0 2 0 0 45 48 64 -0.121137651207538
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.303082592512178
+10 0 1 0 0 20 48 64 0.413389223059417
+10 0 1 0 0 22 48 64 0.509361614154467
+10 0 1 0 0 24 48 64 0.576697664824444
+10 0 1 0 0 26 48 64 0.620718598327536
+10 0 1 0 0 28 48 64 0.636828625350526
+10 0 1 0 0 30 48 64 0.624948639700647
+10 0 1 0 0 32 48 64 0.58595806783613
+10 0 1 0 0 34 48 64 0.521315540588543
+10 0 1 0 0 36 48 64 0.433847130934919
+10 0 1 0 0 38 48 64 0.327422764409982
+10 0 1 0 0 40 48 64 0.206778434804553
+10 0 1 0 0 42 48 64 0.0773155042236337
+10 0 1 0 0 44 48 64 -0.0551604504938584
+10 0 1 0 0 46 48 64 -0.185812767644383
+10 0 1 0 0 48 48 64 -0.30807669592035
+10 0 1 0 0 50 48 64 -0.417093885521473
+10 0 1 0 0 52 48 64 -0.505656467894159
+10 0 1 0 0 54 48 64 -0.574969914684432
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0.636505848718193
+11 0 2 0 0 28 48 64 0.635567916648392
+11 0 2 0 0 29 48 64 0.627779864399493
+11 0 2 0 0 30 48 64 0.612797626264639
+11 0 2 0 0 31 48 64 0.591569961709317
+11 0 2 0 0 32 48 64 0.563476798288332
+11 0 2 0 0 33 48 64 0.529468691615408
+11 0 2 0 0 34 48 64 0.489517352854757
+11 0 2 0 0 35 48 64 0.444259919171929
+11 0 2 0 0 36 48 64 0.394114008983325
+11 0 2 0 0 37 48 64 0.339657389339568
+11 0 2 0 0 38 48 64 0.281496433800044
+11 0 2 0 0 39 48 64 0.220252101357702
+11 0 2 0 0 40 48 64 0.156698490498616
+11 0 2 0 0 41 48 64 0.0913455520215617
+11 0 2 0 0 42 48 64 0.0252599806584213
+11 0 2 0 0 43 48 64 -0.0415076725744994
+11 0 2 0 0 44 48 64 -0.106779805947013
+11 0 2 0 0 45 48 64 -0.171749851824256
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0.636496952827747
+12 0 2 0 0 28 48 64 0.630020061955539
+12 0 2 0 0 29 48 64 0.616779625275
+12 0 2 0 0 30 48 64 0.596519428010902
+12 0 2 0 0 31 48 64 0.570189344535722
+12 0 2 0 0 32 48 64 0.537192529623516
+12 0 2 0 0 33 48 64 0.498631767023083
+12 0 2 0 0 34 48 64 0.454413060445946
+12 0 2 0 0 35 48 64 0.405306063187321
+12 0 2 0 0 36 48 64 0.351722424682695
+12 0 2 0 0 37 48 64 0.294298972138641
+12 0 2 0 0 38 48 64 0.233678660582467
+12 0 2 0 0 39 48 64 0.170491367042271
+12 0 2 0 0 40 48 64 0.105574950270094
+12 0 2 0 0 41 48 64 0.0393632346682347
+12 0 2 0 0 42 48 64 -0.0269675243232683
+12 0 2 0 0 43 48 64 -0.0934977504090493
+12 0 2 0 0 44 48 64 -0.158030280498831
+12 0 2 0 0 45 48 64 -0.221561027205077
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.391103401878387
+12 0 1 0 0 20 48 64 0.487579014604386
+12 0 1 0 0 22 48 64 0.565369798073024
+12 0 1 0 0 24 48 64 0.612638068689936
+12 0 1 0 0 26 48 64 0.635893019254917
+12 0 1 0 0 28 48 64 0.630020061955539
+12 0 1 0 0 30 48 64 0.596519428010902
+12 0 1 0 0 32 48 64 0.537192529623516
+12 0 1 0 0 34 48 64 0.454413060445946
+12 0 1 0 0 36 48 64 0.351722424682695
+12 0 1 0 0 38 48 64 0.233678660582467
+12 0 1 0 0 40 48 64 0.105574950270094
+12 0 1 0 0 42 48 64 -0.0269675243232683
+12 0 1 0 0 44 48 64 -0.158030280498831
+12 0 1 0 0 46 48 64 -0.282684492328197
+12 0 1 0 0 48 48 64 -0.394694398830679
+12 0 1 0 0 50 48 64 -0.490017090555419
+12 0 1 0 0 52 48 64 -0.563041924061363
+12 0 1 0 0 54 48 64 -0.61280473737383
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -0.600802501898698
+12 0 0 0 0 4 48 64 -0.460809125595699
+12 0 0 0 0 8 48 64 -0.241138371155451
+12 0 0 0 0 12 48 64 0.0202258026743178
+12 0 0 0 0 16 48 64 0.278057482399861
+12 0 0 0 0 20 48 64 0.487579014604386
+12 0 0 0 0 24 48 64 0.612638068689936
+12 0 0 0 0 28 48 64 0.630020061955539
+12 0 0 0 0 32 48 64 0.537192529623516
+12 0 0 0 0 36 48 64 0.351722424682695
+12 0 0 0 0 40 48 64 0.105574950270094
+12 0 0 0 0 44 48 64 -0.158030280498831
+12 0 0 0 0 48 48 64 -0.394694398830679
+12 0 0 0 0 52 48 64 -0.563041924061363
+12 0 0 0 0 56 48 64 -0.636889757172914
+12 0 0 0 0 60 48 64 -0.600802501898698
+12 0 0 0 0 64 48 64 -0.460809125595699
+12 0 0 0 0 68 48 64 -0.241138371155451
+12 0 0 0 0 72 48 64 0.0202258026743178
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0.632202373404891
+13 0 2 0 0 28 48 64 0.620247722431662
+13 0 2 0 0 29 48 64 0.601619516716176
+13 0 2 0 0 30 48 64 0.576222943416679
+13 0 2 0 0 31 48 64 0.54495727656921
+13 0 2 0 0 32 48 64 0.507284443009357
+13 0 2 0 0 33 48 64 0.464431310800696
+13 0 2 0 0 34 48 64 0.416238907051783
+13 0 2 0 0 35 48 64 0.363619115476454
+13 0 2 0 0 36 48 64 0.30695862581087
+13 0 2 0 0 37 48 64 0.24695862303276
+13 0 2 0 0 38 48 64 0.184293970961242
+13 0 2 0 0 39 48 64 0.119588965476545
+13 0 2 0 0 40 48 64 0.0537507941011856
+13 0 2 0 0 41 48 64 -0.0128845331948327
+13 0 2 0 0 42 48 64 -0.0790174279502527
+13 0 2 0 0 43 48 64 -0.144866998951517
+13 0 2 0 0 44 48 64 -0.20786993130457
+13 0 2 0 0 45 48 64 -0.269521915437951
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0.623621272900914
+14 0 2 0 0 28 48 64 0.606230011023529
+14 0 2 0 0 29 48 64 0.582399659901089
+14 0 2 0 0 30 48 64 0.55204222708419
+14 0 2 0 0 31 48 64 0.51604293839339
+14 0 2 0 0 32 48 64 0.473956212819899
+14 0 2 0 0 33 48 64 0.427096541106883
+14 0 2 0 0 34 48 64 0.37525236442905
+14 0 2 0 0 35 48 64 0.319480581300334
+14 0 2 0 0 36 48 64 0.260125069911505
+14 0 2 0 0 37 48 64 0.197956954046317
+14 0 2 0 0 38 48 64 0.133677006896174
+14 0 2 0 0 39 48 64 0.0678879098436288
+14 0 2 0 0 40 48 64 0.00157250430686549
+14 0 2 0 0 41 48 64 -0.0650489124107063
+14 0 2 0 0 42 48 64 -0.130540029272946
+14 0 2 0 0 43 48 64 -0.19526927389418
+14 0 2 0 0 44 48 64 -0.256646072645812
+14 0 2 0 0 45 48 64 -0.316003682372278
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.466481964760648
+14 0 1 0 0 20 48 64 0.546853865475707
+14 0 1 0 0 22 48 64 0.606172368933851
+14 0 1 0 0 24 48 64 0.632092569284521
+14 0 1 0 0 26 48 64 0.634017082978433
+14 0 1 0 0 28 48 64 0.606230011023529
+14 0 1 0 0 30 48 64 0.55204222708419
+14 0 1 0 0 32 48 64 0.473956212819899
+14 0 1 0 0 34 48 64 0.37525236442905
+14 0 1 0 0 36 48 64 0.260125069911505
+14 0 1 0 0 38 48 64 0.133677006896174
+14 0 1 0 0 40 48 64 0.00157250430686549
+14 0 1 0 0 42 48 64 -0.130540029272946
+14 0 1 0 0 44 48 64 -0.256646072645812
+14 0 1 0 0 46 48 64 -0.371926539347738
+14 0 1 0 0 48 48 64 -0.470750486569909
+14 0 1 0 0 50 48 64 -0.549947205575274
+14 0 1 0 0 52 48 64 -0.604103608026255
+14 0 1 0 0 54 48 64 -0.633352363771786
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0.610898162657094
+15 0 2 0 0 28 48 64 0.588202168451256
+15 0 2 0 0 29 48 64 0.559251661561707
+15 0 2 0 0 30 48 64 0.524137890277866
+15 0 2 0 0 31 48 64 0.483640894281557
+15 0 2 0 0 32 48 64 0.437434296877636
+15 0 2 0 0 33 48 64 0.386877566714143
+15 0 2 0 0 34 48 64 0.331730613198177
+15 0 2 0 0 35 48 64 0.27318848707141
+15 0 2 0 0 36 48 64 0.211538432062192
+15 0 2 0 0 37 48 64 0.14762576897733
+15 0 2 0 0 38 48 64 0.0821698821639728
+15 0 2 0 0 39 48 64 0.015735586188322
+15 0 2 0 0 40 48 64 -0.0506119154770919
+15 0 2 0 0 41 48 64 -0.116781358383583
+15 0 2 0 0 42 48 64 -0.181188098553843
+15 0 2 0 0 43 48 64 -0.244363345811633
+15 0 2 0 0 44 48 64 -0.303358673561193
+15 0 2 0 0 45 48 64 -0.360021035804323
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0.593968557425158
+16 0 2 0 0 28 48 64 0.566085781141471
+16 0 2 0 0 29 48 64 0.532328892663735
+16 0 2 0 0 30 48 64 0.492694664368078
+16 0 2 0 0 31 48 64 0.447969808483244
+16 0 2 0 0 32 48 64 0.397966208876159
+16 0 2 0 0 33 48 64 0.344043975926546
+16 0 2 0 0 34 48 64 0.285968822014199
+16 0 2 0 0 35 48 64 0.225055334080205
+16 0 2 0 0 36 48 64 0.161527479661504
+16 0 2 0 0 37 48 64 0.0963055859731685
+16 0 2 0 0 38 48 64 0.0301195338258017
+16 0 2 0 0 39 48 64 -0.0365186116284733
+16 0 2 0 0 40 48 64 -0.102454829400577
+16 0 2 0 0 41 48 64 -0.167735686528294
+16 0 2 0 0 42 48 64 -0.230619013424466
+16 0 2 0 0 43 48 64 -0.291818537058967
+16 0 2 0 0 44 48 64 -0.348341077704501
+16 0 2 0 0 45 48 64 -0.401922617971836
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.531603118307914
+16 0 1 0 0 20 48 64 0.593310938315484
+16 0 1 0 0 22 48 64 0.630624592034147
+16 0 1 0 0 24 48 64 0.634574273339818
+16 0 1 0 0 26 48 64 0.615131806016331
+16 0 1 0 0 28 48 64 0.566085781141471
+16 0 1 0 0 30 48 64 0.492694664368078
+16 0 1 0 0 32 48 64 0.397966208876159
+16 0 1 0 0 34 48 64 0.285968822014199
+16 0 1 0 0 36 48 64 0.161527479661504
+16 0 1 0 0 38 48 64 0.0301195338258017
+16 0 1 0 0 40 48 64 -0.102454829400577
+16 0 1 0 0 42 48 64 -0.230619013424466
+16 0 1 0 0 44 48 64 -0.348341077704501
+16 0 1 0 0 46 48 64 -0.451155527889091
+16 0 1 0 0 48 48 64 -0.534265783980402
+16 0 1 0 0 50 48 64 -0.595355927616416
+16 0 1 0 0 52 48 64 -0.630501069737072
+16 0 1 0 0 54 48 64 -0.637960561846835
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -0.500393207909176
+16 0 0 0 0 4 48 64 -0.295556213534704
+16 0 0 0 0 8 48 64 -0.0396264363127427
+16 0 0 0 0 12 48 64 0.223141489093588
+16 0 0 0 0 16 48 64 0.447150075883108
+16 0 0 0 0 20 48 64 0.593310938315484
+16 0 0 0 0 24 48 64 0.634574273339818
+16 0 0 0 0 28 48 64 0.566085781141471
+16 0 0 0 0 32 48 64 0.397966208876159
+16 0 0 0 0 36 48 64 0.161527479661504
+16 0 0 0 0 40 48 64 -0.102454829400577
+16 0 0 0 0 44 48 64 -0.348341077704501
+16 0 0 0 0 48 48 64 -0.534265783980402
+16 0 0 0 0 52 48 64 -0.630501069737072
+16 0 0 0 0 56 48 64 -0.618563509284066
+16 0 0 0 0 60 48 64 -0.500393207909176
+16 0 0 0 0 64 48 64 -0.295556213534704
+16 0 0 0 0 68 48 64 -0.0396264363127427
+16 0 0 0 0 72 48 64 0.223141489093588
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0.573152664278081
+17 0 2 0 0 28 48 64 0.540283459745804
+17 0 2 0 0 29 48 64 0.501814436937376
+17 0 2 0 0 30 48 64 0.457922471114267
+17 0 2 0 0 31 48 64 0.409270961111696
+17 0 2 0 0 32 48 64 0.355818714036642
+17 0 2 0 0 33 48 64 0.29888333569975
+17 0 2 0 0 34 48 64 0.238278190612704
+17 0 2 0 0 35 48 64 0.175405942988955
+17 0 2 0 0 36 48 64 0.110430806813117
+17 0 2 0 0 37 48 64 0.0443430446402389
+17 0 2 0 0 38 48 64 -0.022124840380498
+17 0 2 0 0 39 48 64 -0.0885255381027799
+17 0 2 0 0 40 48 64 -0.153610806864127
+17 0 2 0 0 41 48 64 -0.217570329262834
+17 0 2 0 0 42 48 64 -0.27849802709417
+17 0 2 0 0 43 48 64 -0.337313788332648
+17 0 2 0 0 44 48 64 -0.390665136447914
+17 0 2 0 0 45 48 64 -0.440816209803417
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0.54832279160353
+18 0 2 0 0 28 48 64 0.510661000713712
+18 0 2 0 0 29 48 64 0.467911520545676
+18 0 2 0 0 30 48 64 0.420053554941212
+18 0 2 0 0 31 48 64 0.367806536191394
+18 0 2 0 0 32 48 64 0.311276072433398
+18 0 2 0 0 33 48 64 0.251699558111786
+18 0 2 0 0 34 48 64 0.188983734364185
+18 0 2 0 0 35 48 64 0.124575198545098
+18 0 2 0 0 36 48 64 0.0585944307861043
+18 0 2 0 0 37 48 64 -0.0079117475989604
+18 0 2 0 0 38 48 64 -0.0742141752410136
+18 0 2 0 0 39 48 64 -0.139938443625143
+18 0 2 0 0 40 48 64 -0.20373851197721
+18 0 2 0 0 41 48 64 -0.265950738778782
+18 0 2 0 0 42 48 64 -0.324500243176147
+18 0 2 0 0 43 48 64 -0.38054492704935
+18 0 2 0 0 44 48 64 -0.430640232667373
+18 0 2 0 0 45 48 64 -0.477017290193992
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.580897038468168
+18 0 1 0 0 20 48 64 0.622686329213327
+18 0 1 0 0 22 48 64 0.638087199718044
+18 0 1 0 0 24 48 64 0.620065806580272
+18 0 1 0 0 26 48 64 0.579729882362324
+18 0 1 0 0 28 48 64 0.510661000713712
+18 0 1 0 0 30 48 64 0.420053554941212
+18 0 1 0 0 32 48 64 0.311276072433398
+18 0 1 0 0 34 48 64 0.188983734364185
+18 0 1 0 0 36 48 64 0.0585944307861043
+18 0 1 0 0 38 48 64 -0.0742141752410136
+18 0 1 0 0 40 48 64 -0.20373851197721
+18 0 1 0 0 42 48 64 -0.324500243176147
+18 0 1 0 0 44 48 64 -0.430640232667373
+18 0 1 0 0 46 48 64 -0.518274479953211
+18 0 1 0 0 48 48 64 -0.583612917574238
+18 0 1 0 0 50 48 64 -0.6250283578753
+18 0 1 0 0 52 48 64 -0.63953055083704
+18 0 1 0 0 54 48 64 -0.625432040746077
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0.519968679719117
+19 0 2 0 0 28 48 64 0.477779253509716
+19 0 2 0 0 29 48 64 0.430850499258588
+19 0 2 0 0 30 48 64 0.379342883250796
+19 0 2 0 0 31 48 64 0.323857729564015
+19 0 2 0 0 32 48 64 0.264638202445534
+19 0 2 0 0 33 48 64 0.202811068231496
+19 0 2 0 0 34 48 64 0.138421806503409
+19 0 2 0 0 35 48 64 0.0729057082532856
+19 0 2 0 0 36 48 64 0.00636927050226258
+19 0 2 0 0 37 48 64 -0.0601078583628118
+19 0 2 0 0 38 48 64 -0.125801696832981
+19 0 2 0 0 39 48 64 -0.190415033656778
+19 0 2 0 0 40 48 64 -0.252502632374234
+19 0 2 0 0 41 48 64 -0.312551928035932
+19 0 2 0 0 42 48 64 -0.368314151561159
+19 0 2 0 0 43 48 64 -0.421221795620533
+19 0 2 0 0 44 48 64 -0.467438205861365
+19 0 2 0 0 45 48 64 -0.509752468902151
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0.487901850703798
+20 0 2 0 0 28 48 64 0.441451268312309
+20 0 2 0 0 29 48 64 0.39087924492135
+20 0 2 0 0 30 48 64 0.33606474799889
+20 0 2 0 0 31 48 64 0.277722629586834
+20 0 2 0 0 32 48 64 0.216218835279807
+20 0 2 0 0 33 48 64 0.152548734478687
+20 0 2 0 0 34 48 64 0.0869373803926751
+20 0 2 0 0 35 48 64 0.0207453965184035
+20 0 2 0 0 36 48 64 -0.0458914513819466
+20 0 2 0 0 37 48 64 -0.111896080998752
+20 0 2 0 0 38 48 64 -0.176544809125482
+20 0 2 0 0 39 48 64 -0.239619457581095
+20 0 2 0 0 40 48 64 -0.299575914716971
+20 0 2 0 0 41 48 64 -0.357061011906351
+20 0 2 0 0 42 48 64 -0.409643043466137
+20 0 2 0 0 43 48 64 -0.459076465503556
+20 0 2 0 0 44 48 64 -0.501335109530394
+20 0 2 0 0 45 48 64 -0.539295524070909
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.616126777780748
+20 0 1 0 0 20 48 64 0.6364013394727
+20 0 1 0 0 22 48 64 0.628320529980046
+20 0 1 0 0 24 48 64 0.588991128883217
+20 0 1 0 0 26 48 64 0.528743913921968
+20 0 1 0 0 28 48 64 0.441451268312309
+20 0 1 0 0 30 48 64 0.33606474799889
+20 0 1 0 0 32 48 64 0.216218835279807
+20 0 1 0 0 34 48 64 0.0869373803926751
+20 0 1 0 0 36 48 64 -0.0458914513819466
+20 0 1 0 0 38 48 64 -0.176544809125482
+20 0 1 0 0 40 48 64 -0.299575914716971
+20 0 1 0 0 42 48 64 -0.409643043466137
+20 0 1 0 0 44 48 64 -0.501335109530394
+20 0 1 0 0 46 48 64 -0.571525937015653
+20 0 1 0 0 48 48 64 -0.617523605188194
+20 0 1 0 0 50 48 64 -0.63821610397173
+20 0 1 0 0 52 48 64 -0.63209330411175
+20 0 1 0 0 54 48 64 -0.596201169376521
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -0.3472732148882
+20 0 0 0 0 4 48 64 -0.0989718385252873
+20 0 0 0 0 8 48 64 0.166373953494248
+20 0 0 0 0 12 48 64 0.402905024754028
+20 0 0 0 0 16 48 64 0.569281091630753
+20 0 0 0 0 20 48 64 0.6364013394727
+20 0 0 0 0 24 48 64 0.588991128883217
+20 0 0 0 0 28 48 64 0.441451268312309
+20 0 0 0 0 32 48 64 0.216218835279807
+20 0 0 0 0 36 48 64 -0.0458914513819466
+20 0 0 0 0 40 48 64 -0.299575914716971
+20 0 0 0 0 44 48 64 -0.501335109530394
+20 0 0 0 0 48 48 64 -0.617523605188194
+20 0 0 0 0 52 48 64 -0.63209330411175
+20 0 0 0 0 56 48 64 -0.535028050589058
+20 0 0 0 0 60 48 64 -0.3472732148882
+20 0 0 0 0 64 48 64 -0.0989718385252873
+20 0 0 0 0 68 48 64 0.166373953494248
+20 0 0 0 0 72 48 64 0.402905024754028
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0.452769488176866
+21 0 2 0 0 28 48 64 0.402382274358224
+21 0 2 0 0 29 48 64 0.348268859065924
+21 0 2 0 0 30 48 64 0.290512488167699
+21 0 2 0 0 31 48 64 0.229713916424406
+21 0 2 0 0 32 48 64 0.166343533317261
+21 0 2 0 0 33 48 64 0.101253523729312
+21 0 2 0 0 34 48 64 0.0348811464504921
+21 0 2 0 0 35 48 64 -0.0315549334572121
+21 0 2 0 0 36 48 64 -0.0978348200593294
+21 0 2 0 0 37 48 64 -0.162931311722198
+21 0 2 0 0 38 48 64 -0.226106707337252
+21 0 2 0 0 39 48 64 -0.287224249305965
+21 0 2 0 0 40 48 64 -0.344641222895132
+21 0 2 0 0 41 48 64 -0.399179648344469
+21 0 2 0 0 42 48 64 -0.448208423113794
+21 0 2 0 0 43 48 64 -0.493858275984958
+21 0 2 0 0 44 48 64 -0.531626457484424
+21 0 2 0 0 45 48 64 -0.565010043836499
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0.414326843613403
+22 0 2 0 0 28 48 64 0.360337195235215
+22 0 2 0 0 29 48 64 0.303304151475136
+22 0 2 0 0 30 48 64 0.242994797903992
+22 0 2 0 0 31 48 64 0.180156357362558
+22 0 2 0 0 32 48 64 0.115347670508941
+22 0 2 0 0 33 48 64 0.0492738898606018
+22 0 2 0 0 34 48 64 -0.0173934826581931
+22 0 2 0 0 35 48 64 -0.0836440289380431
+22 0 2 0 0 36 48 64 -0.149110776595062
+22 0 2 0 0 37 48 64 -0.212874685044461
+22 0 2 0 0 38 48 64 -0.274157761529144
+22 0 2 0 0 39 48 64 -0.332912219928396
+22 0 2 0 0 40 48 64 -0.387393670216936
+22 0 2 0 0 41 48 64 -0.438626223594166
+22 0 2 0 0 42 48 64 -0.483750668069979
+22 0 2 0 0 43 48 64 -0.525342283027327
+22 0 2 0 0 44 48 64 -0.558547078453468
+22 0 2 0 0 45 48 64 -0.587123088382212
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0.634020152660697
+22 0 1 0 0 20 48 64 0.632693653886764
+22 0 1 0 0 22 48 64 0.60162293541873
+22 0 1 0 0 24 48 64 0.54222250661629
+22 0 1 0 0 26 48 64 0.463524483862377
+22 0 1 0 0 28 48 64 0.360337195235215
+22 0 1 0 0 30 48 64 0.242994797903992
+22 0 1 0 0 32 48 64 0.115347670508941
+22 0 1 0 0 34 48 64 -0.0173934826581931
+22 0 1 0 0 36 48 64 -0.149110776595062
+22 0 1 0 0 38 48 64 -0.274157761529144
+22 0 1 0 0 40 48 64 -0.387393670216936
+22 0 1 0 0 42 48 64 -0.483750668069979
+22 0 1 0 0 44 48 64 -0.558547078453468
+22 0 1 0 0 46 48 64 -0.609532189011429
+22 0 1 0 0 48 48 64 -0.635137561032824
+22 0 1 0 0 50 48 64 -0.634524295141995
+22 0 1 0 0 52 48 64 -0.608027171753909
+22 0 1 0 0 54 48 64 -0.55176282146569
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0.373363992040111
+23 0 2 0 0 28 48 64 0.316147417162652
+23 0 2 0 0 29 48 64 0.256288117698077
+23 0 2 0 0 30 48 64 0.193835000238068
+23 0 2 0 0 31 48 64 0.12938420919191
+23 0 2 0 0 32 48 64 0.0635743128091647
+23 0 2 0 0 33 48 64 -0.00303707610246827
+23 0 2 0 0 34 48 64 -0.0695333258428789
+23 0 2 0 0 35 48 64 -0.135172563437523
+23 0 2 0 0 36 48 64 -0.199374522387455
+23 0 2 0 0 37 48 64 -0.261395425768384
+23 0 2 0 0 38 48 64 -0.320376765073853
+23 0 2 0 0 39 48 64 -0.376378303638681
+23 0 2 0 0 40 48 64 -0.427542722970876
+23 0 2 0 0 41 48 64 -0.475137692488209
+23 0 2 0 0 42 48 64 -0.516032164461388
+23 0 2 0 0 43 48 64 -0.553322431425868
+23 0 2 0 0 44 48 64 -0.581534989990583
+23 0 2 0 0 45 48 64 -0.60514882789463
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0.329584685421092
+24 0 2 0 0 28 48 64 0.269535811400744
+24 0 2 0 0 29 48 64 0.207533182261098
+24 0 2 0 0 30 48 64 0.14336739936102
+24 0 2 0 0 31 48 64 0.0777385842886276
+24 0 2 0 0 32 48 64 0.0113721306899269
+24 0 2 0 0 33 48 64 -0.0553246470251094
+24 0 2 0 0 34 48 64 -0.121188182623471
+24 0 2 0 0 35 48 64 -0.185795420478696
+24 0 2 0 0 36 48 64 -0.248288712885692
+24 0 2 0 0 37 48 64 -0.308172415386301
+24 0 2 0 0 38 48 64 -0.364452193663696
+24 0 2 0 0 39 48 64 -0.41733133890793
+24 0 2 0 0 40 48 64 -0.464814357581596
+24 0 2 0 0 41 48 64 -0.508471025620041
+24 0 2 0 0 42 48 64 -0.54483728807451
+24 0 2 0 0 43 48 64 -0.577619906349684
+24 0 2 0 0 44 48 64 -0.600777519578084
+24 0 2 0 0 45 48 64 -0.61926420150594
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0.635532053086669
+24 0 1 0 0 20 48 64 0.6121507108578
+24 0 1 0 0 22 48 64 0.558678131064373
+24 0 1 0 0 24 48 64 0.481026512418809
+24 0 1 0 0 26 48 64 0.385808504594957
+24 0 1 0 0 28 48 64 0.269535811400744
+24 0 1 0 0 30 48 64 0.14336739936102
+24 0 1 0 0 32 48 64 0.0113721306899269
+24 0 1 0 0 34 48 64 -0.121188182623471
+24 0 1 0 0 36 48 64 -0.248288712885692
+24 0 1 0 0 38 48 64 -0.364452193663696
+24 0 1 0 0 40 48 64 -0.464814357581596
+24 0 1 0 0 42 48 64 -0.54483728807451
+24 0 1 0 0 44 48 64 -0.600777519578084
+24 0 1 0 0 46 48 64 -0.631323567438717
+24 0 1 0 0 48 48 64 -0.635989862385625
+24 0 1 0 0 50 48 64 -0.614056511291853
+24 0 1 0 0 52 48 64 -0.567386206365948
+24 0 1 0 0 54 48 64 -0.491599815281745
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -0.157443342737434
+24 0 0 0 0 4 48 64 0.108360623927445
+24 0 0 0 0 8 48 64 0.355179936414683
+24 0 0 0 0 12 48 64 0.540488575380666
+24 0 0 0 0 16 48 64 0.631357735618882
+24 0 0 0 0 20 48 64 0.6121507108578
+24 0 0 0 0 24 48 64 0.481026512418809
+24 0 0 0 0 28 48 64 0.269535811400744
+24 0 0 0 0 32 48 64 0.0113721306899269
+24 0 0 0 0 36 48 64 -0.248288712885692
+24 0 0 0 0 40 48 64 -0.464814357581596
+24 0 0 0 0 44 48 64 -0.600777519578084
+24 0 0 0 0 48 48 64 -0.635989862385625
+24 0 0 0 0 52 48 64 -0.567386206365948
+24 0 0 0 0 56 48 64 -0.394798194117444
+24 0 0 0 0 60 48 64 -0.157443342737434
+24 0 0 0 0 64 48 64 0.108360623927445
+24 0 0 0 0 68 48 64 0.355179936414683
+24 0 0 0 0 72 48 64 0.540488575380666
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.yl
new file mode 100644
index 000000000..7c48330f2
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.yl
@@ -0,0 +1,1397 @@
+# HYDROTOY::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.50990135853555
+0 0 2 0 0 36 40 64 0.53583288072473
+0 0 2 0 0 36 41 64 0.559033921377622
+0 0 2 0 0 36 42 64 0.579386253309212
+0 0 2 0 0 36 43 64 0.596786165701149
+0 0 2 0 0 36 44 64 0.611144992588301
+0 0 2 0 0 36 45 64 0.622389564680188
+0 0 2 0 0 36 46 64 0.630462582214916
+0 0 2 0 0 36 47 64 0.635322906945629
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 36 49 64 0.635322906945629
+0 0 2 0 0 36 50 64 0.630462582214916
+0 0 2 0 0 36 51 64 0.622389564680188
+0 0 2 0 0 36 52 64 0.611144992588301
+0 0 2 0 0 36 53 64 0.596786165701149
+0 0 2 0 0 36 54 64 0.579386253309212
+0 0 2 0 0 36 55 64 0.559033921377622
+0 0 2 0 0 36 56 64 0.53583288072473
+0 0 2 0 0 36 57 64 0.50990135853555
+0 0 2 0 0 36 58 64 0.48137149590312
+0 0 2 0 0 36 59 64 0.450388674467787
+0 0 2 0 0 36 60 64 0.417110775585686
+0 0 2 0 0 36 61 64 0.381707375801544
+0 0 2 0 0 36 62 64 0.344358882725476
+0 0 2 0 0 36 63 64 0.305255615717156
+0 0 2 0 0 36 64 64 0.264596836061988
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -2.93103742532793e-15
+0 0 1 0 0 36 28 64 0.0906468344985235
+0 0 1 0 0 36 30 64 0.179448360850545
+0 0 1 0 0 36 32 64 0.264596836061988
+0 0 1 0 0 36 34 64 0.344358882725476
+0 0 1 0 0 36 36 64 0.417110775585686
+0 0 1 0 0 36 38 64 0.481371495903121
+0 0 1 0 0 36 40 64 0.53583288072473
+0 0 1 0 0 36 42 64 0.579386253309212
+0 0 1 0 0 36 44 64 0.611144992588301
+0 0 1 0 0 36 46 64 0.630462582214916
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 36 50 64 0.630462582214916
+0 0 1 0 0 36 52 64 0.611144992588301
+0 0 1 0 0 36 54 64 0.579386253309212
+0 0 1 0 0 36 56 64 0.53583288072473
+0 0 1 0 0 36 58 64 0.48137149590312
+0 0 1 0 0 36 60 64 0.417110775585686
+0 0 1 0 0 36 62 64 0.344358882725476
+0 0 1 0 0 36 64 64 0.264596836061988
+0 0 1 0 0 36 66 64 0.179448360850545
+0 0 1 0 0 36 68 64 0.0906468344985234
+0 0 1 0 0 36 70 64 -3.07246779757962e-15
+0 0 1 0 0 36 72 64 -0.0906468344985296
+0 0 1 0 0 36 74 64 -0.17944836085055
+0 0 1 0 0 36 76 64 -0.264596836061994
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.611144992588299
+0 0 0 0 0 36 4 64 -0.636945771771587
+0 0 0 0 0 36 8 64 -0.611144992588303
+0 0 0 0 0 36 12 64 -0.535832880724733
+0 0 0 0 0 36 16 64 -0.417110775585691
+0 0 0 0 0 36 20 64 -0.264596836061994
+0 0 0 0 0 36 24 64 -0.0906468344985295
+0 0 0 0 0 36 28 64 0.0906468344985235
+0 0 0 0 0 36 32 64 0.264596836061988
+0 0 0 0 0 36 36 64 0.417110775585686
+0 0 0 0 0 36 40 64 0.53583288072473
+0 0 0 0 0 36 44 64 0.611144992588301
+0 0 0 0 0 36 48 64 0.636945771771587
+0 0 0 0 0 36 52 64 0.611144992588301
+0 0 0 0 0 36 56 64 0.53583288072473
+0 0 0 0 0 36 60 64 0.417110775585686
+0 0 0 0 0 36 64 64 0.264596836061988
+0 0 0 0 0 36 68 64 0.0906468344985234
+0 0 0 0 0 36 72 64 -0.0906468344985296
+0 0 0 0 0 36 76 64 -0.264596836061994
+0 0 0 0 0 36 80 64 -0.417110775585691
+0 0 0 0 0 36 84 64 -0.535832880724734
+0 0 0 0 0 36 88 64 -0.611144992588303
+0 0 0 0 0 36 92 64 -0.636945771771587
+0 0 0 0 0 36 96 64 -0.611144992588299
+0 0 0 0 0 36 100 64 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.539378137384722
+1 0 2 0 0 36 40 64 0.562179038367364
+1 0 2 0 0 36 41 64 0.582199185263878
+1 0 2 0 0 36 42 64 0.599146755523157
+1 0 2 0 0 36 43 64 0.613041211253013
+1 0 2 0 0 36 44 64 0.62381174949194
+1 0 2 0 0 36 45 64 0.631403486045903
+1 0 2 0 0 36 46 64 0.635777735165602
+1 0 2 0 0 36 47 64 0.636912206680193
+1 0 2 0 0 36 48 64 0.63480111958288
+1 0 2 0 0 36 49 64 0.629455231489608
+1 0 2 0 0 36 50 64 0.620901783820711
+1 0 2 0 0 36 51 64 0.609184362984886
+1 0 2 0 0 36 52 64 0.594362678272839
+1 0 2 0 0 36 53 64 0.576512257592428
+1 0 2 0 0 36 54 64 0.555724062595757
+1 0 2 0 0 36 55 64 0.53210402515945
+1 0 2 0 0 36 56 64 0.505772507580086
+1 0 2 0 0 36 57 64 0.476863689235523
+1 0 2 0 0 36 58 64 0.445524882837553
+1 0 2 0 0 36 59 64 0.411915783760082
+1 0 2 0 0 36 60 64 0.376207656268115
+1 0 2 0 0 36 61 64 0.338582460794316
+1 0 2 0 0 36 62 64 0.299231926710351
+1 0 2 0 0 36 63 64 0.258589850269154
+1 0 2 0 0 36 64 64 0.216406253689122
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.565398002435612
+2 0 2 0 0 36 40 64 0.584893751491865
+2 0 2 0 0 36 41 64 0.60144151536923
+2 0 2 0 0 36 42 64 0.614864671252107
+2 0 2 0 0 36 43 64 0.625161142514521
+2 0 2 0 0 36 44 64 0.632270703059781
+2 0 2 0 0 36 45 64 0.636158357031659
+2 0 2 0 0 36 46 64 0.636804293836645
+2 0 2 0 0 36 47 64 0.634205221928842
+2 0 2 0 0 36 48 64 0.628374385582933
+2 0 2 0 0 36 49 64 0.619341497404389
+2 0 2 0 0 36 50 64 0.607152586920843
+2 0 2 0 0 36 51 64 0.591869766026173
+2 0 2 0 0 36 52 64 0.573570912472521
+2 0 2 0 0 36 53 64 0.552349273023126
+2 0 2 0 0 36 54 64 0.528312988288184
+2 0 2 0 0 36 55 64 0.501584541665097
+2 0 2 0 0 36 56 64 0.472300135191147
+2 0 2 0 0 36 57 64 0.44060899548914
+2 0 2 0 0 36 58 64 0.406672613342738
+2 0 2 0 0 36 59 64 0.370663920776444
+2 0 2 0 0 36 60 64 0.332766409833644
+2 0 2 0 0 36 61 64 0.293175756904635
+2 0 2 0 0 36 62 64 0.252095158941335
+2 0 2 0 0 36 63 64 0.209945081525125
+2 0 2 0 0 36 64 64 0.166508567416923
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.101958040479921
+2 0 1 0 0 36 28 64 0.19045190926366
+2 0 1 0 0 36 30 64 0.276801468550229
+2 0 1 0 0 36 32 64 0.355631693593013
+2 0 1 0 0 36 34 64 0.42722228291136
+2 0 1 0 0 36 36 64 0.490115858556959
+2 0 1 0 0 36 38 64 0.543032088699761
+2 0 1 0 0 36 40 64 0.584893751491865
+2 0 1 0 0 36 42 64 0.614864671252107
+2 0 1 0 0 36 44 64 0.632270703059781
+2 0 1 0 0 36 46 64 0.636804293836645
+2 0 1 0 0 36 48 64 0.628374385582933
+2 0 1 0 0 36 50 64 0.607152586920843
+2 0 1 0 0 36 52 64 0.573570912472521
+2 0 1 0 0 36 54 64 0.528312988288184
+2 0 1 0 0 36 56 64 0.472300135191147
+2 0 1 0 0 36 58 64 0.406672613342738
+2 0 1 0 0 36 60 64 0.332766409833644
+2 0 1 0 0 36 62 64 0.252095158941335
+2 0 1 0 0 36 64 64 0.166508567416923
+2 0 1 0 0 36 66 64 0.0773116620782785
+2 0 1 0 0 36 68 64 -0.0134590857518569
+2 0 1 0 0 36 70 64 -0.103955845408883
+2 0 1 0 0 36 72 64 -0.192336363837286
+2 0 1 0 0 36 74 64 -0.275010333503837
+2 0 1 0 0 36 76 64 -0.354054672129119
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.587462116960227
+3 0 2 0 0 36 40 64 0.603541326410646
+3 0 2 0 0 36 41 64 0.616631672885353
+3 0 2 0 0 36 42 64 0.626432433484778
+3 0 2 0 0 36 43 64 0.633064413651825
+3 0 2 0 0 36 44 64 0.636464696504605
+3 0 2 0 0 36 45 64 0.636622049355199
+3 0 2 0 0 36 46 64 0.633535283643025
+3 0 2 0 0 36 47 64 0.627220167344685
+3 0 2 0 0 36 48 64 0.617708880845281
+3 0 2 0 0 36 49 64 0.605049891480632
+3 0 2 0 0 36 50 64 0.589307706558841
+3 0 2 0 0 36 51 64 0.570562544645838
+3 0 2 0 0 36 52 64 0.548909926789954
+3 0 2 0 0 36 53 64 0.524460189768562
+3 0 2 0 0 36 54 64 0.497337923837139
+3 0 2 0 0 36 55 64 0.467681337845893
+3 0 2 0 0 36 56 64 0.435641554959138
+3 0 2 0 0 36 57 64 0.401381842566289
+3 0 2 0 0 36 58 64 0.365076780308672
+3 0 2 0 0 36 59 64 0.326911450441731
+3 0 2 0 0 36 60 64 0.287080653705414
+3 0 2 0 0 36 61 64 0.245799002149099
+3 0 2 0 0 36 62 64 0.203265136979522
+3 0 2 0 0 36 63 64 0.160052956823864
+3 0 2 0 0 36 64 64 0.11577891465481
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.605737107086903
+4 0 2 0 0 36 40 64 0.618266994352902
+4 0 2 0 0 36 41 64 0.627665059164578
+4 0 2 0 0 36 42 64 0.633771152144637
+4 0 2 0 0 36 43 64 0.636698155575651
+4 0 2 0 0 36 44 64 0.636365165213341
+4 0 2 0 0 36 45 64 0.632791398915848
+4 0 2 0 0 36 46 64 0.625992709893389
+4 0 2 0 0 36 47 64 0.616004120902327
+4 0 2 0 0 36 48 64 0.602876514907985
+4 0 2 0 0 36 49 64 0.586676788385331
+4 0 2 0 0 36 50 64 0.567487491427417
+4 0 2 0 0 36 51 64 0.545406408292959
+4 0 2 0 0 36 52 64 0.520546059120174
+4 0 2 0 0 36 53 64 0.493033126549944
+4 0 2 0 0 36 54 64 0.463007810180118
+4 0 2 0 0 36 55 64 0.4306231121405
+4 0 2 0 0 36 56 64 0.396044057429062
+4 0 2 0 0 36 57 64 0.359446855481761
+4 0 2 0 0 36 58 64 0.321018015768317
+4 0 2 0 0 36 59 64 0.280954104881963
+4 0 2 0 0 36 60 64 0.239459617669995
+4 0 2 0 0 36 61 64 0.196776084762906
+4 0 2 0 0 36 62 64 0.153077118147342
+4 0 2 0 0 36 63 64 0.108889333629815
+4 0 2 0 0 36 64 64 0.0639255829329774
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.203336824400688
+4 0 1 0 0 36 28 64 0.287310844989877
+4 0 1 0 0 36 30 64 0.366814710346517
+4 0 1 0 0 36 32 64 0.437116971964769
+4 0 1 0 0 36 34 64 0.49863426960122
+4 0 1 0 0 36 36 64 0.54998022255102
+4 0 1 0 0 36 38 64 0.590130164181673
+4 0 1 0 0 36 40 64 0.618266994352902
+4 0 1 0 0 36 42 64 0.633771152144637
+4 0 1 0 0 36 44 64 0.636365165213341
+4 0 1 0 0 36 46 64 0.625992709893389
+4 0 1 0 0 36 48 64 0.602876514907985
+4 0 1 0 0 36 50 64 0.567487491427417
+4 0 1 0 0 36 52 64 0.520546059120174
+4 0 1 0 0 36 54 64 0.463007810180118
+4 0 1 0 0 36 56 64 0.396044057429062
+4 0 1 0 0 36 58 64 0.321018015768317
+4 0 1 0 0 36 60 64 0.239459617669995
+4 0 1 0 0 36 62 64 0.153077118147342
+4 0 1 0 0 36 64 64 0.0639255829329774
+4 0 1 0 0 36 66 64 -0.0269158286163637
+4 0 1 0 0 36 68 64 -0.117220277357043
+4 0 1 0 0 36 70 64 -0.205118972117534
+4 0 1 0 0 36 72 64 -0.288811734351734
+4 0 1 0 0 36 74 64 -0.365347955302905
+4 0 1 0 0 36 76 64 -0.436059668496852
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -0.637195713383579
+4 0 0 0 0 36 4 64 -0.604381951846523
+4 0 0 0 0 36 8 64 -0.522604758968737
+4 0 0 0 0 36 12 64 -0.398489236569475
+4 0 0 0 0 36 16 64 -0.242090486130096
+4 0 0 0 0 36 20 64 -0.0660790042720144
+4 0 0 0 0 36 24 64 0.115285805525215
+4 0 0 0 0 36 28 64 0.287310844989877
+4 0 0 0 0 36 32 64 0.437116971964769
+4 0 0 0 0 36 36 64 0.54998022255102
+4 0 0 0 0 36 40 64 0.618266994352902
+4 0 0 0 0 36 44 64 0.636365165213341
+4 0 0 0 0 36 48 64 0.602876514907985
+4 0 0 0 0 36 52 64 0.520546059120174
+4 0 0 0 0 36 56 64 0.396044057429062
+4 0 0 0 0 36 60 64 0.239459617669995
+4 0 0 0 0 36 64 64 0.0639255829329774
+4 0 0 0 0 36 68 64 -0.117220277357043
+4 0 0 0 0 36 72 64 -0.288811734351734
+4 0 0 0 0 36 76 64 -0.436059668496852
+4 0 0 0 0 36 80 64 -0.54948153100891
+4 0 0 0 0 36 84 64 -0.618387667771118
+4 0 0 0 0 36 88 64 -0.637195713383579
+4 0 0 0 0 36 92 64 -0.604381951846523
+4 0 0 0 0 36 96 64 -0.522604758968737
+4 0 0 0 0 36 100 64 -0.398489236569475
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.619815866784387
+5 0 2 0 0 36 40 64 0.628733177458112
+5 0 2 0 0 36 41 64 0.634468135143382
+5 0 2 0 0 36 42 64 0.636832597382819
+5 0 2 0 0 36 43 64 0.636038419221386
+5 0 2 0 0 36 44 64 0.63197230041235
+5 0 2 0 0 36 45 64 0.624692257519311
+5 0 2 0 0 36 46 64 0.614227397318661
+5 0 2 0 0 36 47 64 0.600632707152374
+5 0 2 0 0 36 48 64 0.58397731091608
+5 0 2 0 0 36 49 64 0.56434610078486
+5 0 2 0 0 36 50 64 0.541839112246019
+5 0 2 0 0 36 51 64 0.516571035791953
+5 0 2 0 0 36 52 64 0.488670631747976
+5 0 2 0 0 36 53 64 0.458280074178175
+5 0 2 0 0 36 54 64 0.425554226397277
+5 0 2 0 0 36 55 64 0.390659851902836
+5 0 2 0 0 36 56 64 0.353774765273945
+5 0 2 0 0 36 57 64 0.315086964463373
+5 0 2 0 0 36 58 64 0.27479366214685
+5 0 2 0 0 36 59 64 0.233103201865368
+5 0 2 0 0 36 60 64 0.190226129691542
+5 0 2 0 0 36 61 64 0.146441195516311
+5 0 2 0 0 36 62 64 0.101865937283776
+5 0 2 0 0 36 63 64 0.0571943167828904
+5 0 2 0 0 36 64 64 0.011973383302189
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.629830097242168
+6 0 2 0 0 36 40 64 0.635052401679783
+6 0 2 0 0 36 41 64 0.636993166349794
+6 0 2 0 0 36 42 64 0.635597717966417
+6 0 2 0 0 36 43 64 0.631090222023777
+6 0 2 0 0 36 44 64 0.623315186045125
+6 0 2 0 0 36 45 64 0.612379353818863
+6 0 2 0 0 36 46 64 0.598318622366667
+6 0 2 0 0 36 47 64 0.581209590522001
+6 0 2 0 0 36 48 64 0.561138730770607
+6 0 2 0 0 36 49 64 0.53820844420425
+6 0 2 0 0 36 50 64 0.512535569833231
+6 0 2 0 0 36 51 64 0.484250931710903
+6 0 2 0 0 36 52 64 0.453498661833035
+6 0 2 0 0 36 53 64 0.420435466736225
+6 0 2 0 0 36 54 64 0.38522982890098
+6 0 2 0 0 36 55 64 0.348061150140387
+6 0 2 0 0 36 56 64 0.309118839106567
+6 0 2 0 0 36 57 64 0.268601571475632
+6 0 2 0 0 36 58 64 0.226715848992383
+6 0 2 0 0 36 59 64 0.183683615371917
+6 0 2 0 0 36 60 64 0.139714281471845
+6 0 2 0 0 36 61 64 0.0951348262470591
+6 0 2 0 0 36 62 64 0.0499802810324689
+6 0 2 0 0 36 63 64 0.00490301853139381
+6 0 2 0 0 36 64 64 -0.0404192879211431
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.297122722560746
+6 0 1 0 0 36 28 64 0.374509240180489
+6 0 1 0 0 36 30 64 0.447057640236956
+6 0 1 0 0 36 32 64 0.506827467675778
+6 0 1 0 0 36 34 64 0.556679618070835
+6 0 1 0 0 36 36 64 0.595093240342499
+6 0 1 0 0 36 38 64 0.621396256826992
+6 0 1 0 0 36 40 64 0.635052401679783
+6 0 1 0 0 36 42 64 0.635597717966417
+6 0 1 0 0 36 44 64 0.623315186045125
+6 0 1 0 0 36 46 64 0.598318622366667
+6 0 1 0 0 36 48 64 0.561138730770607
+6 0 1 0 0 36 50 64 0.512535569833231
+6 0 1 0 0 36 52 64 0.453498661833035
+6 0 1 0 0 36 54 64 0.38522982890098
+6 0 1 0 0 36 56 64 0.309118839106567
+6 0 1 0 0 36 58 64 0.226715848992383
+6 0 1 0 0 36 60 64 0.139714281471845
+6 0 1 0 0 36 62 64 0.0499802810324689
+6 0 1 0 0 36 64 64 -0.0404192879211431
+6 0 1 0 0 36 66 64 -0.130432939352435
+6 0 1 0 0 36 68 64 -0.217846161358475
+6 0 1 0 0 36 70 64 -0.300740709184171
+6 0 1 0 0 36 72 64 -0.377490025456466
+6 0 1 0 0 36 74 64 -0.444792758034398
+6 0 1 0 0 36 76 64 -0.504818975199184
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0.635541681155819
+7 0 2 0 0 36 40 64 0.637053772412586
+7 0 2 0 0 36 41 64 0.635224637965066
+7 0 2 0 0 36 42 64 0.630078171977715
+7 0 2 0 0 36 43 64 0.6218874194724
+7 0 2 0 0 36 44 64 0.610451775565712
+7 0 2 0 0 36 45 64 0.595935946655088
+7 0 2 0 0 36 46 64 0.578373551639401
+7 0 2 0 0 36 47 64 0.557865785023267
+7 0 2 0 0 36 48 64 0.534514814654423
+7 0 2 0 0 36 49 64 0.508440124148401
+7 0 2 0 0 36 50 64 0.479774531662615
+7 0 2 0 0 36 51 64 0.448664118574827
+7 0 2 0 0 36 52 64 0.415267415878594
+7 0 2 0 0 36 53 64 0.379754605784431
+7 0 2 0 0 36 54 64 0.342306653616407
+7 0 2 0 0 36 55 64 0.303114401157909
+7 0 2 0 0 36 56 64 0.262377576885548
+7 0 2 0 0 36 57 64 0.2203046498839
+7 0 2 0 0 36 58 64 0.177109489243536
+7 0 2 0 0 36 59 64 0.133031397531304
+7 0 2 0 0 36 60 64 0.0882668692805401
+7 0 2 0 0 36 61 64 0.0432027240039613
+7 0 2 0 0 36 62 64 -0.00223538793525438
+7 0 2 0 0 36 63 64 -0.0472099610685687
+7 0 2 0 0 36 64 64 -0.0922067996660087
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 0.637022425636418
+8 0 2 0 0 36 40 64 0.634794254524964
+8 0 2 0 0 36 41 64 0.629173010314419
+8 0 2 0 0 36 42 64 0.620314007655792
+8 0 2 0 0 36 43 64 0.608492415386402
+8 0 2 0 0 36 44 64 0.593468766634332
+8 0 2 0 0 36 45 64 0.575473270544195
+8 0 2 0 0 36 46 64 0.554526508354797
+8 0 2 0 0 36 47 64 0.530758787621103
+8 0 2 0 0 36 48 64 0.504285141633512
+8 0 2 0 0 36 49 64 0.475241955776838
+8 0 2 0 0 36 50 64 0.443777008160821
+8 0 2 0 0 36 51 64 0.410050677857393
+8 0 2 0 0 36 52 64 0.374234822530294
+8 0 2 0 0 36 53 64 0.336511953688545
+8 0 2 0 0 36 54 64 0.297074298985034
+8 0 2 0 0 36 55 64 0.256122899444967
+8 0 2 0 0 36 56 64 0.213866430304459
+8 0 2 0 0 36 57 64 0.17052277202792
+8 0 2 0 0 36 58 64 0.126310167387866
+8 0 2 0 0 36 59 64 0.0814911815656163
+8 0 2 0 0 36 60 64 0.0362327753977346
+8 0 2 0 0 36 61 64 -0.0090077774966195
+8 0 2 0 0 36 62 64 -0.0544289615937023
+8 0 2 0 0 36 63 64 -0.0992291681542225
+8 0 2 0 0 36 64 64 -0.143737695622745
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.385785774294104
+8 0 1 0 0 36 28 64 0.454285228667723
+8 0 1 0 0 36 30 64 0.515349180689513
+8 0 1 0 0 36 32 64 0.562872587840816
+8 0 1 0 0 36 34 64 0.599805067555074
+8 0 1 0 0 36 36 64 0.624236534694581
+8 0 1 0 0 36 38 64 0.635983815583996
+8 0 1 0 0 36 40 64 0.634794254524964
+8 0 1 0 0 36 42 64 0.620314007655792
+8 0 1 0 0 36 44 64 0.593468766634332
+8 0 1 0 0 36 46 64 0.554526508354797
+8 0 1 0 0 36 48 64 0.504285141633512
+8 0 1 0 0 36 50 64 0.443777008160821
+8 0 1 0 0 36 52 64 0.374234822530294
+8 0 1 0 0 36 54 64 0.297074298985034
+8 0 1 0 0 36 56 64 0.213866430304459
+8 0 1 0 0 36 58 64 0.126310167387866
+8 0 1 0 0 36 60 64 0.0362327753977346
+8 0 1 0 0 36 62 64 -0.0544289615937023
+8 0 1 0 0 36 64 64 -0.143737695622745
+8 0 1 0 0 36 66 64 -0.230450897726081
+8 0 1 0 0 36 68 64 -0.312628564483326
+8 0 1 0 0 36 70 64 -0.388236257599029
+8 0 1 0 0 36 72 64 -0.455985001401903
+8 0 1 0 0 36 74 64 -0.513778275390261
+8 0 1 0 0 36 76 64 -0.562263542224784
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -0.59648290094983
+8 0 0 0 0 36 4 64 -0.508360375451156
+8 0 0 0 0 36 8 64 -0.379053515669004
+8 0 0 0 0 36 12 64 -0.2190379943654
+8 0 0 0 0 36 16 64 -0.0412773174274224
+8 0 0 0 0 36 20 64 0.139827402282866
+8 0 0 0 0 36 24 64 0.309604137445777
+8 0 0 0 0 36 28 64 0.454285228667723
+8 0 0 0 0 36 32 64 0.562872587840816
+8 0 0 0 0 36 36 64 0.624236534694581
+8 0 0 0 0 36 40 64 0.634794254524964
+8 0 0 0 0 36 44 64 0.593468766634332
+8 0 0 0 0 36 48 64 0.504285141633512
+8 0 0 0 0 36 52 64 0.374234822530294
+8 0 0 0 0 36 56 64 0.213866430304459
+8 0 0 0 0 36 60 64 0.0362327753977346
+8 0 0 0 0 36 64 64 -0.143737695622745
+8 0 0 0 0 36 68 64 -0.312628564483326
+8 0 0 0 0 36 72 64 -0.455985001401903
+8 0 0 0 0 36 76 64 -0.562263542224784
+8 0 0 0 0 36 80 64 -0.624533179725877
+8 0 0 0 0 36 84 64 -0.636281929233952
+8 0 0 0 0 36 88 64 -0.59648290094983
+8 0 0 0 0 36 92 64 -0.508360375451156
+8 0 0 0 0 36 96 64 -0.379053515669004
+8 0 0 0 0 36 100 64 -0.2190379943654
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0.634209307316538
+9 0 2 0 0 36 40 64 0.628274633191864
+9 0 2 0 0 36 41 64 0.618880962323979
+9 0 2 0 0 36 42 64 0.606374725532842
+9 0 2 0 0 36 43 64 0.590995724118689
+9 0 2 0 0 36 44 64 0.572481204104115
+9 0 2 0 0 36 45 64 0.551129768960463
+9 0 2 0 0 36 46 64 0.526938091768676
+9 0 2 0 0 36 47 64 0.500071543002118
+9 0 2 0 0 36 48 64 0.470653621489612
+9 0 2 0 0 36 49 64 0.438837928604366
+9 0 2 0 0 36 50 64 0.404785881507996
+9 0 2 0 0 36 51 64 0.368671154257462
+9 0 2 0 0 36 52 64 0.330677759416677
+9 0 2 0 0 36 53 64 0.290999313941686
+9 0 2 0 0 36 54 64 0.249838009214385
+9 0 2 0 0 36 55 64 0.207403866377264
+9 0 2 0 0 36 56 64 0.163912958090276
+9 0 2 0 0 36 57 64 0.119593044521439
+9 0 2 0 0 36 58 64 0.0746619274111935
+9 0 2 0 0 36 59 64 0.0294133634599718
+9 0 2 0 0 36 60 64 -0.0160357731489081
+9 0 2 0 0 36 61 64 -0.0611481311090316
+9 0 2 0 0 36 62 64 -0.106254554573781
+9 0 2 0 0 36 63 64 -0.15036884426168
+9 0 2 0 0 36 64 64 -0.193971445946896
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0.627113036937236
+10 0 2 0 0 36 40 64 0.617494646688305
+10 0 2 0 0 36 41 64 0.604416447098823
+10 0 2 0 0 36 42 64 0.588356522715237
+10 0 2 0 0 36 43 64 0.569515374275107
+10 0 2 0 0 36 44 64 0.547631867757324
+10 0 2 0 0 36 45 64 0.523070132217243
+10 0 2 0 0 36 46 64 0.495794170364243
+10 0 2 0 0 36 47 64 0.46601124628219
+10 0 2 0 0 36 48 64 0.433847130934919
+10 0 2 0 0 36 49 64 0.399473728774084
+10 0 2 0 0 36 50 64 0.363064298922632
+10 0 2 0 0 36 51 64 0.324804836791494
+10 0 2 0 0 36 52 64 0.284890228214365
+10 0 2 0 0 36 53 64 0.243523915108191
+10 0 2 0 0 36 54 64 0.200916675096805
+10 0 2 0 0 36 55 64 0.157286422205733
+10 0 2 0 0 36 56 64 0.112854727457975
+10 0 2 0 0 36 57 64 0.0678609220204759
+10 0 2 0 0 36 58 64 0.0225149358718501
+10 0 2 0 0 36 59 64 -0.0228487244282122
+10 0 2 0 0 36 60 64 -0.0681857976120786
+10 0 2 0 0 36 61 64 -0.112871820698518
+10 0 2 0 0 36 62 64 -0.15736464702915
+10 0 2 0 0 36 63 64 -0.200724035706136
+10 0 2 0 0 36 64 64 -0.243254893919947
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.461982031523405
+10 0 1 0 0 36 28 64 0.520003480589231
+10 0 1 0 0 36 30 64 0.569854926403488
+10 0 1 0 0 36 32 64 0.603755781655311
+10 0 1 0 0 36 34 64 0.626858147119501
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+10 0 1 0 0 36 40 64 0.617494646688305
+10 0 1 0 0 36 42 64 0.588356522715237
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+10 0 1 0 0 36 46 64 0.495794170364243
+10 0 1 0 0 36 48 64 0.433847130934919
+10 0 1 0 0 36 50 64 0.363064298922632
+10 0 1 0 0 36 52 64 0.284890228214365
+10 0 1 0 0 36 54 64 0.200916675096805
+10 0 1 0 0 36 56 64 0.112854727457975
+10 0 1 0 0 36 58 64 0.0225149358718501
+10 0 1 0 0 36 60 64 -0.0681857976120786
+10 0 1 0 0 36 62 64 -0.15736464702915
+10 0 1 0 0 36 64 64 -0.243254893919947
+10 0 1 0 0 36 66 64 -0.324268061042168
+10 0 1 0 0 36 68 64 -0.399016312565578
+10 0 1 0 0 36 70 64 -0.465257051318351
+10 0 1 0 0 36 72 64 -0.522215634847047
+10 0 1 0 0 36 74 64 -0.56790732346883
+10 0 1 0 0 36 76 64 -0.603405777278373
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0.615847786831143
+11 0 2 0 0 36 40 64 0.602626895084993
+11 0 2 0 0 36 41 64 0.585878594353199
+11 0 2 0 0 36 42 64 0.566383187078877
+11 0 2 0 0 36 43 64 0.544196162269302
+11 0 2 0 0 36 44 64 0.519090297875085
+11 0 2 0 0 36 45 64 0.491484149958726
+11 0 2 0 0 36 46 64 0.461304757971872
+11 0 2 0 0 36 47 64 0.428807988281219
+11 0 2 0 0 36 48 64 0.394114008983325
+11 0 2 0 0 36 49 64 0.357415128886202
+11 0 2 0 0 36 50 64 0.318893939229023
+11 0 2 0 0 36 51 64 0.278747926496674
+11 0 2 0 0 36 52 64 0.237181427508182
+11 0 2 0 0 36 53 64 0.194406410268435
+11 0 2 0 0 36 54 64 0.150640763410713
+11 0 2 0 0 36 55 64 0.106109506694644
+11 0 2 0 0 36 56 64 0.0610371604457141
+11 0 2 0 0 36 57 64 0.0156778695296591
+11 0 2 0 0 36 58 64 -0.029776966558851
+11 0 2 0 0 36 59 64 -0.0749416166336611
+11 0 2 0 0 36 60 64 -0.119866118190805
+11 0 2 0 0 36 61 64 -0.163834553170467
+11 0 2 0 0 36 62 64 -0.207419473570138
+11 0 2 0 0 36 63 64 -0.249522369161557
+11 0 2 0 0 36 64 64 -0.290580047889965
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0.600362728694348
+12 0 2 0 0 36 40 64 0.583613845025026
+12 0 2 0 0 36 41 64 0.563390524099401
+12 0 2 0 0 36 42 64 0.540603269836972
+12 0 2 0 0 36 43 64 0.515208726399884
+12 0 2 0 0 36 44 64 0.487051565280677
+12 0 2 0 0 36 45 64 0.45658540378857
+12 0 2 0 0 36 46 64 0.423702765989939
+12 0 2 0 0 36 47 64 0.388713244505759
+12 0 2 0 0 36 48 64 0.351722424682695
+12 0 2 0 0 36 49 64 0.312946249902045
+12 0 2 0 0 36 50 64 0.27257315615915
+12 0 2 0 0 36 51 64 0.230811594298089
+12 0 2 0 0 36 52 64 0.187873725758713
+12 0 2 0 0 36 53 64 0.143978795719796
+12 0 2 0 0 36 54 64 0.0993501758777369
+12 0 2 0 0 36 55 64 0.0542197329806349
+12 0 2 0 0 36 56 64 0.00881130618246116
+12 0 2 0 0 36 57 64 -0.0366011471462491
+12 0 2 0 0 36 58 64 -0.0818588302643655
+12 0 2 0 0 36 59 64 -0.126514316678739
+12 0 2 0 0 36 60 64 -0.170729650775611
+12 0 2 0 0 36 61 64 -0.213697209931898
+12 0 2 0 0 36 62 64 -0.256082906572
+12 0 2 0 0 36 63 64 -0.296862770541109
+12 0 2 0 0 36 64 64 -0.33628290507426
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.528170960261501
+12 0 1 0 0 36 28 64 0.573875772565795
+12 0 1 0 0 36 30 64 0.609087321150422
+12 0 1 0 0 36 32 64 0.628402596995659
+12 0 1 0 0 36 34 64 0.637116089161789
+12 0 1 0 0 36 36 64 0.631884788134024
+12 0 1 0 0 36 38 64 0.613990069259635
+12 0 1 0 0 36 40 64 0.583613845025026
+12 0 1 0 0 36 42 64 0.540603269836972
+12 0 1 0 0 36 44 64 0.487051565280677
+12 0 1 0 0 36 46 64 0.423702765989939
+12 0 1 0 0 36 48 64 0.351722424682695
+12 0 1 0 0 36 50 64 0.27257315615915
+12 0 1 0 0 36 52 64 0.187873725758713
+12 0 1 0 0 36 54 64 0.0993501758777369
+12 0 1 0 0 36 56 64 0.00881130618246116
+12 0 1 0 0 36 58 64 -0.0818588302643655
+12 0 1 0 0 36 60 64 -0.170729650775611
+12 0 1 0 0 36 62 64 -0.256082906572
+12 0 1 0 0 36 64 64 -0.33628290507426
+12 0 1 0 0 36 66 64 -0.409345710324212
+12 0 1 0 0 36 68 64 -0.474685664477683
+12 0 1 0 0 36 70 64 -0.529753025156589
+12 0 1 0 0 36 72 64 -0.574440473484468
+12 0 1 0 0 36 74 64 -0.608058902722826
+12 0 1 0 0 36 76 64 -0.629908211125043
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -0.493113583217527
+12 0 0 0 0 36 4 64 -0.358814710696291
+12 0 0 0 0 36 8 64 -0.195446804267703
+12 0 0 0 0 36 12 64 -0.0162449601242363
+12 0 0 0 0 36 16 64 0.164272954075997
+12 0 0 0 0 36 20 64 0.331482033068
+12 0 0 0 0 36 24 64 0.471798630517264
+12 0 0 0 0 36 28 64 0.573875772565795
+12 0 0 0 0 36 32 64 0.628402596995659
+12 0 0 0 0 36 36 64 0.631884788134024
+12 0 0 0 0 36 40 64 0.583613845025026
+12 0 0 0 0 36 44 64 0.487051565280677
+12 0 0 0 0 36 48 64 0.351722424682695
+12 0 0 0 0 36 52 64 0.187873725758713
+12 0 0 0 0 36 56 64 0.00881130618246116
+12 0 0 0 0 36 60 64 -0.170729650775611
+12 0 0 0 0 36 64 64 -0.33628290507426
+12 0 0 0 0 36 68 64 -0.474685664477683
+12 0 0 0 0 36 72 64 -0.574440473484468
+12 0 0 0 0 36 76 64 -0.629908211125043
+12 0 0 0 0 36 80 64 -0.634176468120291
+12 0 0 0 0 36 84 64 -0.587465672010459
+12 0 0 0 0 36 88 64 -0.493113583217527
+12 0 0 0 0 36 92 64 -0.358814710696291
+12 0 0 0 0 36 96 64 -0.195446804267703
+12 0 0 0 0 36 100 64 -0.0162449601242363
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0.580947147813451
+13 0 2 0 0 36 40 64 0.56079531214378
+13 0 2 0 0 36 41 64 0.537104767620391
+13 0 2 0 0 36 42 64 0.511190968605429
+13 0 2 0 0 36 43 64 0.48274845834354
+13 0 2 0 0 36 44 64 0.451734699111499
+13 0 2 0 0 36 45 64 0.41860980863776
+13 0 2 0 0 36 46 64 0.383242607845066
+13 0 2 0 0 36 47 64 0.345998205767797
+13 0 2 0 0 36 48 64 0.30695862581087
+13 0 2 0 0 36 49 64 0.266367692841018
+13 0 2 0 0 36 50 64 0.224414996256527
+13 0 2 0 0 36 51 64 0.18131992587382
+13 0 2 0 0 36 52 64 0.137300529101955
+13 0 2 0 0 36 53 64 0.0925822432529072
+13 0 2 0 0 36 54 64 0.0473920275335564
+13 0 2 0 0 36 55 64 0.00196914161658804
+13 0 2 0 0 36 56 64 -0.0434684925537463
+13 0 2 0 0 36 57 64 -0.088620345921592
+13 0 2 0 0 36 58 64 -0.133377251253409
+13 0 2 0 0 36 59 64 -0.177220721322669
+13 0 2 0 0 36 60 64 -0.220435595192268
+13 0 2 0 0 36 61 64 -0.262126534871435
+13 0 2 0 0 36 62 64 -0.303029063309079
+13 0 2 0 0 36 63 64 -0.342006343397285
+13 0 2 0 0 36 64 64 -0.379416097684702
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0.557489129184527
+14 0 2 0 0 36 40 64 0.534058024562797
+14 0 2 0 0 36 41 64 0.50719625820417
+14 0 2 0 0 36 42 64 0.478343344591957
+14 0 2 0 0 36 43 64 0.447034217408379
+14 0 2 0 0 36 44 64 0.413380931256607
+14 0 2 0 0 36 45 64 0.377814018066916
+14 0 2 0 0 36 46 64 0.340198619931579
+14 0 2 0 0 36 47 64 0.300951945611179
+14 0 2 0 0 36 48 64 0.260125069911505
+14 0 2 0 0 36 49 64 0.217994531969451
+14 0 2 0 0 36 50 64 0.174745085623992
+14 0 2 0 0 36 51 64 0.130607745568132
+14 0 2 0 0 36 52 64 0.085804033585775
+14 0 2 0 0 36 53 64 0.0405648323946591
+14 0 2 0 0 36 54 64 -0.00488167421308696
+14 0 2 0 0 36 55 64 -0.0502871882393677
+14 0 2 0 0 36 56 64 -0.0954470732799742
+14 0 2 0 0 36 57 64 -0.14002596573151
+14 0 2 0 0 36 58 64 -0.183983093904489
+14 0 2 0 0 36 59 64 -0.226721809581471
+14 0 2 0 0 36 60 64 -0.26865145061754
+14 0 2 0 0 36 61 64 -0.308797995009175
+14 0 2 0 0 36 62 64 -0.347940512889122
+14 0 2 0 0 36 63 64 -0.385054839634187
+14 0 2 0 0 36 64 64 -0.420295414983999
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.57867094202159
+14 0 1 0 0 36 28 64 0.611120741329166
+14 0 1 0 0 36 30 64 0.632012973631142
+14 0 1 0 0 36 32 64 0.636200480162015
+14 0 1 0 0 36 34 64 0.630303657749717
+14 0 1 0 0 36 36 64 0.610156409607592
+14 0 1 0 0 36 38 64 0.577997236897269
+14 0 1 0 0 36 40 64 0.534058024562797
+14 0 1 0 0 36 42 64 0.478343344591957
+14 0 1 0 0 36 44 64 0.413380931256607
+14 0 1 0 0 36 46 64 0.340198619931579
+14 0 1 0 0 36 48 64 0.260125069911505
+14 0 1 0 0 36 50 64 0.174745085623992
+14 0 1 0 0 36 52 64 0.085804033585775
+14 0 1 0 0 36 54 64 -0.00488167421308696
+14 0 1 0 0 36 56 64 -0.0954470732799742
+14 0 1 0 0 36 58 64 -0.183983093904489
+14 0 1 0 0 36 60 64 -0.26865145061754
+14 0 1 0 0 36 62 64 -0.347940512889122
+14 0 1 0 0 36 64 64 -0.420295414983999
+14 0 1 0 0 36 66 64 -0.483381587196745
+14 0 1 0 0 36 68 64 -0.537604986637817
+14 0 1 0 0 36 70 64 -0.580027273312048
+14 0 1 0 0 36 72 64 -0.611287209230735
+14 0 1 0 0 36 74 64 -0.631172428377194
+14 0 1 0 0 36 76 64 -0.63902892090289
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0.530446312754231
+15 0 2 0 0 36 40 64 0.503900046058434
+15 0 2 0 0 36 41 64 0.473867089247578
+15 0 2 0 0 36 42 64 0.442281055877767
+15 0 2 0 0 36 43 64 0.408306880460207
+15 0 2 0 0 36 44 64 0.372251709528866
+15 0 2 0 0 36 45 64 0.334473686557368
+15 0 2 0 0 36 46 64 0.294863259756657
+15 0 2 0 0 36 47 64 0.253879420194153
+15 0 2 0 0 36 48 64 0.211538432062192
+15 0 2 0 0 36 49 64 0.16815415926105
+15 0 2 0 0 36 50 64 0.123899381005909
+15 0 2 0 0 36 51 64 0.0790183117144422
+15 0 2 0 0 36 52 64 0.0337328522825777
+15 0 2 0 0 36 53 64 -0.0117208335957486
+15 0 2 0 0 36 54 64 -0.0571164701623981
+15 0 2 0 0 36 55 64 -0.102193709237545
+15 0 2 0 0 36 56 64 -0.146771092556874
+15 0 2 0 0 36 57 64 -0.190469206687892
+15 0 2 0 0 36 58 64 -0.233334234910199
+15 0 2 0 0 36 59 64 -0.274687681573746
+15 0 2 0 0 36 60 64 -0.315055002181317
+15 0 2 0 0 36 61 64 -0.353397281719323
+15 0 2 0 0 36 62 64 -0.390514155846708
+15 0 2 0 0 36 63 64 -0.425318409027177
+15 0 2 0 0 36 64 64 -0.458061578075606
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0.499647700197632
+16 0 2 0 0 36 40 64 0.470155355371906
+16 0 2 0 0 36 41 64 0.437339836795794
+16 0 2 0 0 36 42 64 0.403245456927188
+16 0 2 0 0 36 43 64 0.366827693713193
+16 0 2 0 0 36 44 64 0.328626642935096
+16 0 2 0 0 36 45 64 0.288881589371665
+16 0 2 0 0 36 46 64 0.24754505104139
+16 0 2 0 0 36 47 64 0.205099300610908
+16 0 2 0 0 36 48 64 0.161527479661504
+16 0 2 0 0 36 49 64 0.117183974587489
+16 0 2 0 0 36 50 64 0.0722217885179424
+16 0 2 0 0 36 51 64 0.0269008830862164
+16 0 2 0 0 36 52 64 -0.0185604833253866
+16 0 2 0 0 36 53 64 -0.0639201385748697
+16 0 2 0 0 36 54 64 -0.108958021259893
+16 0 2 0 0 36 55 64 -0.153397174641942
+16 0 2 0 0 36 56 64 -0.197091827504335
+16 0 2 0 0 36 57 64 -0.23960919226023
+16 0 2 0 0 36 58 64 -0.281098278243746
+16 0 2 0 0 36 59 64 -0.320799465041073
+16 0 2 0 0 36 60 64 -0.359336304526752
+16 0 2 0 0 36 61 64 -0.395623092003998
+16 0 2 0 0 36 62 64 -0.43046038437708
+16 0 2 0 0 36 63 64 -0.462904821269424
+16 0 2 0 0 36 64 64 -0.493001013258371
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.615314060365795
+16 0 1 0 0 36 28 64 0.633332174635427
+16 0 1 0 0 36 30 64 0.638000400470499
+16 0 1 0 0 36 32 64 0.626988031054254
+16 0 1 0 0 36 34 64 0.606600726019789
+16 0 1 0 0 36 36 64 0.572006368518583
+16 0 1 0 0 36 38 64 0.52649059553371
+16 0 1 0 0 36 40 64 0.470155355371906
+16 0 1 0 0 36 42 64 0.403245456927188
+16 0 1 0 0 36 44 64 0.328626642935096
+16 0 1 0 0 36 46 64 0.24754505104139
+16 0 1 0 0 36 48 64 0.161527479661504
+16 0 1 0 0 36 50 64 0.0722217885179424
+16 0 1 0 0 36 52 64 -0.0185604833253866
+16 0 1 0 0 36 54 64 -0.108958021259893
+16 0 1 0 0 36 56 64 -0.197091827504335
+16 0 1 0 0 36 58 64 -0.281098278243746
+16 0 1 0 0 36 60 64 -0.359336304526752
+16 0 1 0 0 36 62 64 -0.43046038437708
+16 0 1 0 0 36 64 64 -0.493001013258371
+16 0 1 0 0 36 66 64 -0.54437739286784
+16 0 1 0 0 36 68 64 -0.586089423388958
+16 0 1 0 0 36 70 64 -0.61477035987319
+16 0 1 0 0 36 72 64 -0.631829930915171
+16 0 1 0 0 36 74 64 -0.638239370987209
+16 0 1 0 0 36 76 64 -0.631681880899216
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -0.337794414256765
+16 0 0 0 0 36 4 64 -0.171335037756763
+16 0 0 0 0 36 8 64 0.00900705762306818
+16 0 0 0 0 36 12 64 0.188619368399998
+16 0 0 0 0 36 16 64 0.352949099750753
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+16 0 0 0 0 36 24 64 0.584635099353558
+16 0 0 0 0 36 28 64 0.633332174635427
+16 0 0 0 0 36 32 64 0.626988031054254
+16 0 0 0 0 36 36 64 0.572006368518583
+16 0 0 0 0 36 40 64 0.470155355371906
+16 0 0 0 0 36 44 64 0.328626642935096
+16 0 0 0 0 36 48 64 0.161527479661504
+16 0 0 0 0 36 52 64 -0.0185604833253866
+16 0 0 0 0 36 56 64 -0.197091827504335
+16 0 0 0 0 36 60 64 -0.359336304526752
+16 0 0 0 0 36 64 64 -0.493001013258371
+16 0 0 0 0 36 68 64 -0.586089423388958
+16 0 0 0 0 36 72 64 -0.631829930915171
+16 0 0 0 0 36 76 64 -0.631681880899216
+16 0 0 0 0 36 80 64 -0.57713410242229
+16 0 0 0 0 36 84 64 -0.476912579618416
+16 0 0 0 0 36 88 64 -0.337794414256765
+16 0 0 0 0 36 92 64 -0.171335037756763
+16 0 0 0 0 36 96 64 0.00900705762306818
+16 0 0 0 0 36 100 64 0.188619368399998
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0.46570747841084
+17 0 2 0 0 36 40 64 0.433467278212548
+17 0 2 0 0 36 41 64 0.39786139037636
+17 0 2 0 0 36 42 64 0.361498870417935
+17 0 2 0 0 36 43 64 0.322876467886244
+17 0 2 0 0 36 44 64 0.282801324086693
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+17 0 2 0 0 36 46 64 0.198566265674094
+17 0 2 0 0 36 47 64 0.154941647975132
+17 0 2 0 0 36 48 64 0.110430806813117
+17 0 2 0 0 36 49 64 0.0654289290878617
+17 0 2 0 0 36 50 64 0.0200616683167988
+17 0 2 0 0 36 51 64 -0.02539182868863
+17 0 2 0 0 36 52 64 -0.0707221305584795
+17 0 2 0 0 36 53 64 -0.115679086352291
+17 0 2 0 0 36 54 64 -0.160054803402629
+17 0 2 0 0 36 55 64 -0.203549582840353
+17 0 2 0 0 36 56 64 -0.246068098414227
+17 0 2 0 0 36 57 64 -0.287115844421735
+17 0 2 0 0 36 58 64 -0.326955168220586
+17 0 2 0 0 36 59 64 -0.364751146723146
+17 0 2 0 0 36 60 64 -0.401199732131416
+17 0 2 0 0 36 61 64 -0.435189123790478
+17 0 2 0 0 36 62 64 -0.467508952818711
+17 0 2 0 0 36 63 64 -0.497188887267672
+17 0 2 0 0 36 64 64 -0.524368078729558
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0.42839967581875
+18 0 2 0 0 36 40 64 0.393621372677248
+18 0 2 0 0 36 41 64 0.355696494790494
+18 0 2 0 0 36 42 64 0.317321371555609
+18 0 2 0 0 36 43 64 0.276749583146587
+18 0 2 0 0 36 44 64 0.23508515985357
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+18 0 2 0 0 36 46 64 0.148260362980632
+18 0 2 0 0 36 47 64 0.10374545686243
+18 0 2 0 0 36 48 64 0.0585944307861043
+18 0 2 0 0 36 49 64 0.0132389495453763
+18 0 2 0 0 36 50 64 -0.0322287363964737
+18 0 2 0 0 36 51 64 -0.0775062850273616
+18 0 2 0 0 36 52 64 -0.122399610030707
+18 0 2 0 0 36 53 64 -0.166647026592268
+18 0 2 0 0 36 54 64 -0.21006088687845
+18 0 2 0 0 36 55 64 -0.252311223263527
+18 0 2 0 0 36 56 64 -0.293369224079844
+18 0 2 0 0 36 57 64 -0.332672537881876
+18 0 2 0 0 36 58 64 -0.370599621972402
+18 0 2 0 0 36 59 64 -0.406251309073617
+18 0 2 0 0 36 60 64 -0.440366065284512
+18 0 2 0 0 36 61 64 -0.471826654009687
+18 0 2 0 0 36 62 64 -0.501408571855364
+18 0 2 0 0 36 63 64 -0.52828405406998
+18 0 2 0 0 36 64 64 -0.552411321756746
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0.634682676817871
+18 0 1 0 0 36 28 64 0.638103006223593
+18 0 1 0 0 36 30 64 0.626924466571439
+18 0 1 0 0 36 32 64 0.601072903750926
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+18 0 1 0 0 36 42 64 0.317321371555609
+18 0 1 0 0 36 44 64 0.23508515985357
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+18 0 1 0 0 36 48 64 0.0585944307861043
+18 0 1 0 0 36 50 64 -0.0322287363964737
+18 0 1 0 0 36 52 64 -0.122399610030707
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+18 0 1 0 0 36 56 64 -0.293369224079844
+18 0 1 0 0 36 58 64 -0.370599621972402
+18 0 1 0 0 36 60 64 -0.440366065284512
+18 0 1 0 0 36 62 64 -0.501408571855364
+18 0 1 0 0 36 64 64 -0.552411321756746
+18 0 1 0 0 36 66 64 -0.590696181717163
+18 0 1 0 0 36 68 64 -0.618846063372348
+18 0 1 0 0 36 70 64 -0.633096782218086
+18 0 1 0 0 36 72 64 -0.635530689308149
+18 0 1 0 0 36 74 64 -0.627922301330068
+18 0 1 0 0 36 76 64 -0.607665079303543
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0.388478390562911
+19 0 2 0 0 36 40 64 0.351389419314031
+19 0 2 0 0 36 41 64 0.311130420583761
+19 0 2 0 0 36 42 64 0.271010413780176
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+19 0 2 0 0 36 45 64 0.141735507456792
+19 0 2 0 0 36 46 64 0.0969692416119346
+19 0 2 0 0 36 47 64 0.0518561119946674
+19 0 2 0 0 36 48 64 0.00636927050226258
+19 0 2 0 0 36 49 64 -0.0390337036581263
+19 0 2 0 0 36 50 64 -0.0842968863264894
+19 0 2 0 0 36 51 64 -0.129090766222099
+19 0 2 0 0 36 52 64 -0.173244480116455
+19 0 2 0 0 36 53 64 -0.216479415877318
+19 0 2 0 0 36 54 64 -0.258638728013065
+19 0 2 0 0 36 55 64 -0.299353694852427
+19 0 2 0 0 36 56 64 -0.338677877920421
+19 0 2 0 0 36 57 64 -0.375978386287746
+19 0 2 0 0 36 58 64 -0.411743285890963
+19 0 2 0 0 36 59 64 -0.44502475555374
+19 0 2 0 0 36 60 64 -0.476574569117391
+19 0 2 0 0 36 61 64 -0.505286294778445
+19 0 2 0 0 36 62 64 -0.53193162261327
+19 0 2 0 0 36 63 64 -0.55565501239411
+19 0 2 0 0 36 64 64 -0.576521402759017
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0.345668692183943
+20 0 2 0 0 36 40 64 0.306514157940223
+20 0 2 0 0 36 41 64 0.264462643650939
+20 0 2 0 0 36 42 64 0.222877336313052
+20 0 2 0 0 36 43 64 0.179224211115552
+20 0 2 0 0 36 44 64 0.13527368443792
+20 0 2 0 0 36 45 64 0.0903322837164305
+20 0 2 0 0 36 46 64 0.0450403948938235
+20 0 2 0 0 36 47 64 -0.000377178281310113
+20 0 2 0 0 36 48 64 -0.0458914513819466
+20 0 2 0 0 36 49 64 -0.0910370690518435
+20 0 2 0 0 36 50 64 -0.135792472686177
+20 0 2 0 0 36 51 64 -0.179797960409389
+20 0 2 0 0 36 52 64 -0.222914923194685
+20 0 2 0 0 36 53 64 -0.26484052832611
+20 0 2 0 0 36 54 64 -0.305461869862906
+20 0 2 0 0 36 55 64 -0.34436272295636
+20 0 2 0 0 36 56 64 -0.381692683676471
+20 0 2 0 0 36 57 64 -0.416750019710524
+20 0 2 0 0 36 58 64 -0.450116527317603
+20 0 2 0 0 36 59 64 -0.480813949755293
+20 0 2 0 0 36 60 64 -0.509584894751634
+20 0 2 0 0 36 61 64 -0.535340418965597
+20 0 2 0 0 36 62 64 -0.558874538525418
+20 0 2 0 0 36 63 64 -0.579403743640139
+20 0 2 0 0 36 64 64 -0.596901434930012
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0.637799184714721
+20 0 1 0 0 36 28 64 0.626235591513993
+20 0 1 0 0 36 30 64 0.599068849264139
+20 0 1 0 0 36 32 64 0.559189286964574
+20 0 1 0 0 36 34 64 0.511486797201851
+20 0 1 0 0 36 36 64 0.45097508648785
+20 0 1 0 0 36 38 64 0.382907440465782
+20 0 1 0 0 36 40 64 0.306514157940223
+20 0 1 0 0 36 42 64 0.222877336313052
+20 0 1 0 0 36 44 64 0.13527368443792
+20 0 1 0 0 36 46 64 0.0450403948938235
+20 0 1 0 0 36 48 64 -0.0458914513819466
+20 0 1 0 0 36 50 64 -0.135792472686177
+20 0 1 0 0 36 52 64 -0.222914923194685
+20 0 1 0 0 36 54 64 -0.305461869862906
+20 0 1 0 0 36 56 64 -0.381692683676471
+20 0 1 0 0 36 58 64 -0.450116527317603
+20 0 1 0 0 36 60 64 -0.509584894751634
+20 0 1 0 0 36 62 64 -0.558874538525418
+20 0 1 0 0 36 64 64 -0.596901434930012
+20 0 1 0 0 36 66 64 -0.621107882712815
+20 0 1 0 0 36 68 64 -0.635006670451623
+20 0 1 0 0 36 70 64 -0.634549833544072
+20 0 1 0 0 36 72 64 -0.62235201942325
+20 0 1 0 0 36 74 64 -0.601125706583894
+20 0 1 0 0 36 76 64 -0.567045853386031
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -0.146717342441159
+20 0 0 0 0 36 4 64 0.0344564118527246
+20 0 0 0 0 36 8 64 0.212856332547802
+20 0 0 0 0 36 12 64 0.374010450461751
+20 0 0 0 0 36 16 64 0.504851071241502
+20 0 0 0 0 36 20 64 0.594792834110813
+20 0 0 0 0 36 24 64 0.636007674397615
+20 0 0 0 0 36 28 64 0.626235591513993
+20 0 0 0 0 36 32 64 0.559189286964574
+20 0 0 0 0 36 36 64 0.45097508648785
+20 0 0 0 0 36 40 64 0.306514157940223
+20 0 0 0 0 36 44 64 0.13527368443792
+20 0 0 0 0 36 48 64 -0.0458914513819466
+20 0 0 0 0 36 52 64 -0.222914923194685
+20 0 0 0 0 36 56 64 -0.381692683676471
+20 0 0 0 0 36 60 64 -0.509584894751634
+20 0 0 0 0 36 64 64 -0.596901434930012
+20 0 0 0 0 36 68 64 -0.635006670451623
+20 0 0 0 0 36 72 64 -0.62235201942325
+20 0 0 0 0 36 76 64 -0.567045853386031
+20 0 0 0 0 36 80 64 -0.459122770404238
+20 0 0 0 0 36 84 64 -0.316110640069499
+20 0 0 0 0 36 88 64 -0.146717342441159
+20 0 0 0 0 36 92 64 0.0344564118527246
+20 0 0 0 0 36 96 64 0.212856332547802
+20 0 0 0 0 36 100 64 0.374010450461751
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0.300844196453243
+21 0 2 0 0 36 40 64 0.259875344698484
+21 0 2 0 0 36 41 64 0.216008367110848
+21 0 2 0 0 36 42 64 0.173246441710941
+21 0 2 0 0 36 43 64 0.128481352459957
+21 0 2 0 0 36 44 64 0.0838464497595055
+21 0 2 0 0 36 45 64 0.0383219706278334
+21 0 2 0 0 36 46 64 -0.00717591134871572
+21 0 2 0 0 36 47 64 -0.0526038946131178
+21 0 2 0 0 36 48 64 -0.0978348200593294
+21 0 2 0 0 36 49 64 -0.142422015828936
+21 0 2 0 0 36 50 64 -0.186369801516471
+21 0 2 0 0 36 51 64 -0.229287411008914
+21 0 2 0 0 36 52 64 -0.271078146932538
+21 0 2 0 0 36 53 64 -0.311406010816341
+21 0 2 0 0 36 54 64 -0.350217430361178
+21 0 2 0 0 36 55 64 -0.38704057772604
+21 0 2 0 0 36 56 64 -0.422130385289875
+21 0 2 0 0 36 57 64 -0.454722749444217
+21 0 2 0 0 36 58 64 -0.485469779039371
+21 0 2 0 0 36 59 64 -0.513380282706289
+21 0 2 0 0 36 60 64 -0.539178713839917
+21 0 2 0 0 36 61 64 -0.561783999941456
+21 0 2 0 0 36 62 64 -0.582059345539764
+21 0 2 0 0 36 63 64 -0.599130494636651
+21 0 2 0 0 36 64 64 -0.613097475856869
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0.253687953865645
+22 0 2 0 0 36 40 64 0.211179727541262
+22 0 2 0 0 36 41 64 0.16609261546683
+22 0 2 0 0 36 42 64 0.122451505487294
+22 0 2 0 0 36 43 64 0.0768692684551277
+22 0 2 0 0 36 44 64 0.0318603392285052
+22 0 2 0 0 36 45 64 -0.0139470023211567
+22 0 2 0 0 36 46 64 -0.0593293031760204
+22 0 2 0 0 36 47 64 -0.104474586276313
+22 0 2 0 0 36 48 64 -0.149110776595062
+22 0 2 0 0 36 49 64 -0.192844583504653
+22 0 2 0 0 36 50 64 -0.235689964548914
+22 0 2 0 0 36 51 64 -0.277227745945389
+22 0 2 0 0 36 52 64 -0.317412513910549
+22 0 2 0 0 36 53 64 -0.355865173613349
+22 0 2 0 0 36 54 64 -0.392608258145645
+22 0 2 0 0 36 55 64 -0.427107908874333
+22 0 2 0 0 36 56 64 -0.459727453232636
+22 0 2 0 0 36 57 64 -0.489651093130384
+22 0 2 0 0 36 58 64 -0.517574392685524
+22 0 2 0 0 36 59 64 -0.542505131800701
+22 0 2 0 0 36 60 64 -0.5651608648499
+22 0 2 0 0 36 61 64 -0.584437200121733
+22 0 2 0 0 36 62 64 -0.601335538369798
+22 0 2 0 0 36 63 64 -0.614880712649836
+22 0 2 0 0 36 64 64 -0.625260839677209
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0.623883274708678
+22 0 1 0 0 36 28 64 0.597961122071803
+22 0 1 0 0 36 30 64 0.55521704654599
+22 0 1 0 0 36 32 64 0.502498568836776
+22 0 1 0 0 36 34 64 0.44262489588619
+22 0 1 0 0 36 36 64 0.371390542974891
+22 0 1 0 0 36 38 64 0.294722271371602
+22 0 1 0 0 36 40 64 0.211179727541262
+22 0 1 0 0 36 42 64 0.122451505487294
+22 0 1 0 0 36 44 64 0.0318603392285052
+22 0 1 0 0 36 46 64 -0.0593293031760204
+22 0 1 0 0 36 48 64 -0.149110776595062
+22 0 1 0 0 36 50 64 -0.235689964548914
+22 0 1 0 0 36 52 64 -0.317412513910549
+22 0 1 0 0 36 54 64 -0.392608258145645
+22 0 1 0 0 36 56 64 -0.459727453232636
+22 0 1 0 0 36 58 64 -0.517574392685524
+22 0 1 0 0 36 60 64 -0.5651608648499
+22 0 1 0 0 36 62 64 -0.601335538369798
+22 0 1 0 0 36 64 64 -0.625260839677209
+22 0 1 0 0 36 66 64 -0.634821055180684
+22 0 1 0 0 36 68 64 -0.634149274609067
+22 0 1 0 0 36 70 64 -0.619123066356903
+22 0 1 0 0 36 72 64 -0.592624987274439
+22 0 1 0 0 36 74 64 -0.558431787723875
+22 0 1 0 0 36 76 64 -0.512209801064185
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0.205170226940535
+23 0 2 0 0 36 40 64 0.161391187752208
+23 0 2 0 0 36 41 64 0.11505092599853
+23 0 2 0 0 36 42 64 0.0708345434502088
+23 0 2 0 0 36 43 64 0.0247328983483017
+23 0 2 0 0 36 44 64 -0.0203384384493421
+23 0 2 0 0 36 45 64 -0.0661253450796059
+23 0 2 0 0 36 46 64 -0.11107167454957
+23 0 2 0 0 36 47 64 -0.155643052161306
+23 0 2 0 0 36 48 64 -0.199374522387455
+23 0 2 0 0 36 49 64 -0.241968058145317
+23 0 2 0 0 36 50 64 -0.283422755117539
+23 0 2 0 0 36 51 64 -0.323298638231267
+23 0 2 0 0 36 52 64 -0.361609344577792
+23 0 2 0 0 36 53 64 -0.397922922764537
+23 0 2 0 0 36 54 64 -0.432354663206006
+23 0 2 0 0 36 55 64 -0.46430486701968
+23 0 2 0 0 36 56 64 -0.494241050863663
+23 0 2 0 0 36 57 64 -0.521308747205443
+23 0 2 0 0 36 58 64 -0.546223006271433
+23 0 2 0 0 36 59 64 -0.567990886532603
+23 0 2 0 0 36 60 64 -0.587360029804813
+23 0 2 0 0 36 61 64 -0.6031449783198
+23 0 2 0 0 36 62 64 -0.616577220689613
+23 0 2 0 0 36 63 64 -0.62645828814271
+23 0 2 0 0 36 64 64 -0.633107661820204
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0.154939070015001
+24 0 2 0 0 36 40 64 0.110188431570105
+24 0 2 0 0 36 41 64 0.0632244711482506
+24 0 2 0 0 36 42 64 0.0187426072418991
+24 0 2 0 0 36 43 64 -0.0275800872513002
+24 0 2 0 0 36 44 64 -0.0724021157683745
+24 0 2 0 0 36 45 64 -0.117865120574471
+24 0 2 0 0 36 46 64 -0.162059174596412
+24 0 2 0 0 36 47 64 -0.205768288232116
+24 0 2 0 0 36 48 64 -0.248288712885692
+24 0 2 0 0 36 49 64 -0.289464755450447
+24 0 2 0 0 36 50 64 -0.329248334592206
+24 0 2 0 0 36 51 64 -0.367192490401635
+24 0 2 0 0 36 52 64 -0.403374390285728
+24 0 2 0 0 36 53 64 -0.437301277577492
+24 0 2 0 0 36 54 64 -0.469195681302733
+24 0 2 0 0 36 55 64 -0.498391483325395
+24 0 2 0 0 36 56 64 -0.525449373921503
+24 0 2 0 0 36 57 64 -0.549488233383552
+24 0 2 0 0 36 58 64 -0.571229505870372
+24 0 2 0 0 36 59 64 -0.589661964939013
+24 0 2 0 0 36 60 64 -0.605628866699573
+24 0 2 0 0 36 61 64 -0.617780107468496
+24 0 2 0 0 36 62 64 -0.627687061108842
+24 0 2 0 0 36 63 64 -0.633784145240549
+24 0 2 0 0 36 64 64 -0.636732563809461
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0.59303854147112
+24 0 1 0 0 36 28 64 0.553202534041964
+24 0 1 0 0 36 30 64 0.496525056525497
+24 0 1 0 0 36 32 64 0.432525696152888
+24 0 1 0 0 36 34 64 0.361907136155071
+24 0 1 0 0 36 36 64 0.281888058920602
+24 0 1 0 0 36 38 64 0.198695778602944
+24 0 1 0 0 36 40 64 0.110188431570105
+24 0 1 0 0 36 42 64 0.0187426072418991
+24 0 1 0 0 36 44 64 -0.0724021157683745
+24 0 1 0 0 36 46 64 -0.162059174596412
+24 0 1 0 0 36 48 64 -0.248288712885692
+24 0 1 0 0 36 50 64 -0.329248334592206
+24 0 1 0 0 36 52 64 -0.403374390285728
+24 0 1 0 0 36 54 64 -0.469195681302733
+24 0 1 0 0 36 56 64 -0.525449373921503
+24 0 1 0 0 36 58 64 -0.571229505870372
+24 0 1 0 0 36 60 64 -0.605628866699573
+24 0 1 0 0 36 62 64 -0.627687061108842
+24 0 1 0 0 36 64 64 -0.636732563809461
+24 0 1 0 0 36 66 64 -0.631501718450348
+24 0 1 0 0 36 68 64 -0.616307728294757
+24 0 1 0 0 36 70 64 -0.587237163288633
+24 0 1 0 0 36 72 64 -0.547180593823657
+24 0 1 0 0 36 74 64 -0.50051964838767
+24 0 1 0 0 36 76 64 -0.44236172303217
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0.0601347218407749
+24 0 0 0 0 36 4 64 0.236957446467389
+24 0 0 0 0 36 8 64 0.394656522707972
+24 0 0 0 0 36 12 64 0.520374608331503
+24 0 0 0 0 36 16 64 0.603882176524757
+24 0 0 0 0 36 20 64 0.638499578345995
+24 0 0 0 0 36 24 64 0.620283798923382
+24 0 0 0 0 36 28 64 0.553202534041964
+24 0 0 0 0 36 32 64 0.432525696152888
+24 0 0 0 0 36 36 64 0.281888058920602
+24 0 0 0 0 36 40 64 0.110188431570105
+24 0 0 0 0 36 44 64 -0.0724021157683745
+24 0 0 0 0 36 48 64 -0.248288712885692
+24 0 0 0 0 36 52 64 -0.403374390285728
+24 0 0 0 0 36 56 64 -0.525449373921503
+24 0 0 0 0 36 60 64 -0.605628866699573
+24 0 0 0 0 36 64 64 -0.636732563809461
+24 0 0 0 0 36 68 64 -0.616307728294757
+24 0 0 0 0 36 72 64 -0.547180593823657
+24 0 0 0 0 36 76 64 -0.44236172303217
+24 0 0 0 0 36 80 64 -0.2923178765557
+24 0 0 0 0 36 84 64 -0.1218548916094
+24 0 0 0 0 36 88 64 0.0601347218407749
+24 0 0 0 0 36 92 64 0.236957446467389
+24 0 0 0 0 36 96 64 0.394656522707972
+24 0 0 0 0 36 100 64 0.520374608331503
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.zl
new file mode 100644
index 000000000..ba8864e92
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.zl
@@ -0,0 +1,1757 @@
+# HYDROTOY::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.132428472368254
+0 0 2 0 0 36 48 52 0.196827067972688
+0 0 2 0 0 36 48 53 0.259069185031701
+0 0 2 0 0 36 48 54 0.318472885885794
+0 0 2 0 0 36 48 55 0.374387331157387
+0 0 2 0 0 36 48 56 0.426199910483233
+0 0 2 0 0 36 48 57 0.473342954401761
+0 0 2 0 0 36 48 58 0.515299953858481
+0 0 2 0 0 36 48 59 0.55161121918728
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+0 0 2 0 0 36 48 61 0.605771426770014
+0 0 2 0 0 36 48 62 0.62302697845592
+0 0 2 0 0 36 48 63 0.633456516189086
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 36 48 65 0.633456516189086
+0 0 2 0 0 36 48 66 0.62302697845592
+0 0 2 0 0 36 48 67 0.605771426770014
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+0 0 2 0 0 36 48 69 0.55161121918728
+0 0 2 0 0 36 48 70 0.515299953858481
+0 0 2 0 0 36 48 71 0.47334295440176
+0 0 2 0 0 36 48 72 0.426199910483233
+0 0 2 0 0 36 48 73 0.374387331157387
+0 0 2 0 0 36 48 74 0.318472885885794
+0 0 2 0 0 36 48 75 0.259069185031701
+0 0 2 0 0 36 48 76 0.196827067972688
+0 0 2 0 0 36 48 77 0.132428472368254
+0 0 2 0 0 36 48 78 0.0665789627081145
+0 0 2 0 0 36 48 79 1.02901299771943e-15
+0 0 2 0 0 36 48 80 -0.0665789627081124
+0 0 2 0 0 36 48 81 -0.132428472368252
+0 0 2 0 0 36 48 82 -0.196827067972686
+0 0 2 0 0 36 48 83 -0.259069185031699
+0 0 2 0 0 36 48 84 -0.318472885885792
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -0.636945771771587
+0 0 1 0 0 36 48 36 -0.62302697845592
+0 0 1 0 0 36 48 38 -0.581878916566593
+0 0 1 0 0 36 48 40 -0.515299953858479
+0 0 1 0 0 36 48 42 -0.426199910483232
+0 0 1 0 0 36 48 44 -0.318472885885792
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+0 0 1 0 0 36 48 48 -0.0665789627081123
+0 0 1 0 0 36 48 50 0.0665789627081145
+0 0 1 0 0 36 48 52 0.196827067972688
+0 0 1 0 0 36 48 54 0.318472885885794
+0 0 1 0 0 36 48 56 0.426199910483233
+0 0 1 0 0 36 48 58 0.515299953858481
+0 0 1 0 0 36 48 60 0.581878916566594
+0 0 1 0 0 36 48 62 0.62302697845592
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 36 48 66 0.62302697845592
+0 0 1 0 0 36 48 68 0.581878916566594
+0 0 1 0 0 36 48 70 0.515299953858481
+0 0 1 0 0 36 48 72 0.426199910483233
+0 0 1 0 0 36 48 74 0.318472885885794
+0 0 1 0 0 36 48 76 0.196827067972688
+0 0 1 0 0 36 48 78 0.0665789627081145
+0 0 1 0 0 36 48 80 -0.0665789627081124
+0 0 1 0 0 36 48 82 -0.196827067972686
+0 0 1 0 0 36 48 84 -0.318472885885792
+0 0 1 0 0 36 48 86 -0.426199910483232
+0 0 1 0 0 36 48 88 -0.515299953858479
+0 0 1 0 0 36 48 90 -0.581878916566593
+0 0 1 0 0 36 48 92 -0.62302697845592
+0 0 1 0 0 36 48 94 -0.636945771771587
+0 0 1 0 0 36 48 96 -0.62302697845592
+0 0 1 0 0 36 48 98 -0.581878916566595
+0 0 1 0 0 36 48 100 -0.515299953858482
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.581878916566596
+0 0 0 0 0 36 48 4 0.636945771771587
+0 0 0 0 0 36 48 8 0.581878916566593
+0 0 0 0 0 36 48 12 0.42619991048323
+0 0 0 0 0 36 48 16 0.196827067972683
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+0 0 0 0 0 36 48 44 -0.318472885885792
+0 0 0 0 0 36 48 48 -0.0665789627081123
+0 0 0 0 0 36 48 52 0.196827067972688
+0 0 0 0 0 36 48 56 0.426199910483233
+0 0 0 0 0 36 48 60 0.581878916566594
+0 0 0 0 0 36 48 64 0.636945771771587
+0 0 0 0 0 36 48 68 0.581878916566594
+0 0 0 0 0 36 48 72 0.426199910483233
+0 0 0 0 0 36 48 76 0.196827067972688
+0 0 0 0 0 36 48 80 -0.0665789627081124
+0 0 0 0 0 36 48 84 -0.318472885885792
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+0 0 0 0 0 36 48 100 -0.515299953858482
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+0 0 0 0 0 36 48 108 -0.0665789627081168
+0 0 0 0 0 36 48 112 0.196827067972684
+0 0 0 0 0 36 48 116 0.42619991048323
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+0 0 0 0 0 36 48 124 0.636945771771587
+0 0 0 0 0 36 48 128 0.581878916566596
+0 0 0 0 0 36 48 132 0.426199910483237
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.182859447316177
+1 0 2 0 0 36 48 52 0.245643801244416
+1 0 2 0 0 36 48 53 0.306113746344868
+1 0 2 0 0 36 48 54 0.362662712095609
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+1 0 2 0 0 36 48 63 0.636786712446016
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+1 0 2 0 0 36 48 67 0.587581205557956
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+1 0 2 0 0 36 48 69 0.523621780092664
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+1 0 2 0 0 36 48 71 0.436777570221252
+1 0 2 0 0 36 48 72 0.385924964767545
+1 0 2 0 0 36 48 73 0.330844084639854
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+1 0 2 0 0 36 48 76 0.146458095934844
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+1 0 2 0 0 36 48 79 -0.0522642316338257
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+1 0 2 0 0 36 48 83 -0.305714876553033
+1 0 2 0 0 36 48 84 -0.362463799340455
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.232337107018868
+2 0 2 0 0 36 48 52 0.293071522772709
+2 0 2 0 0 36 48 53 0.351147826977075
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+2 0 2 0 0 36 48 63 0.63582148831443
+2 0 2 0 0 36 48 64 0.628374385582933
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+2 0 2 0 0 36 48 67 0.565427263170904
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+2 0 2 0 0 36 48 70 0.447132180676314
+2 0 2 0 0 36 48 71 0.397265527479704
+2 0 2 0 0 36 48 72 0.343046350030871
+2 0 2 0 0 36 48 73 0.285068684984036
+2 0 2 0 0 36 48 74 0.223967747770058
+2 0 2 0 0 36 48 75 0.160412973043247
+2 0 2 0 0 36 48 76 0.0951006802152018
+2 0 2 0 0 36 48 77 0.0287464444336219
+2 0 2 0 0 36 48 78 -0.037922743408753
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+2 0 2 0 0 36 48 83 -0.350568793144779
+2 0 2 0 0 36 48 84 -0.404256490972884
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -0.628552655248775
+2 0 1 0 0 36 48 36 -0.594053210778659
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+2 0 1 0 0 36 48 100 -0.448932909375275
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.279960389178979
+3 0 2 0 0 36 48 52 0.338260738429065
+3 0 2 0 0 36 48 53 0.393850730677218
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+3 0 2 0 0 36 48 67 0.539459022010052
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+3 0 2 0 0 36 48 83 -0.392606530564375
+3 0 2 0 0 36 48 84 -0.443098471946599
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.326042072362713
+4 0 2 0 0 36 48 52 0.381494612922986
+4 0 2 0 0 36 48 53 0.433912397751943
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+4 0 2 0 0 36 48 84 -0.479240571873759
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -0.603952191874012
+4 0 1 0 0 36 48 36 -0.548892104535778
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+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 0.634847735200847
+4 0 0 0 0 36 48 4 0.604381951846525
+4 0 0 0 0 36 48 8 0.469413038380274
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+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.369620235121816
+5 0 2 0 0 36 48 52 0.421853435157386
+5 0 2 0 0 36 48 53 0.471040817256664
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+5 0 2 0 0 36 48 84 -0.511945952741651
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.410999865169581
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+6 0 2 0 0 36 48 84 -0.541460227221178
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -0.563884077634816
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+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 0.484882968613644
+8 0 2 0 0 36 48 52 0.525353226659808
+8 0 2 0 0 36 48 53 0.562357142448502
+8 0 2 0 0 36 48 54 0.588255297238538
+8 0 2 0 0 36 48 55 0.611928638473946
+8 0 2 0 0 36 48 56 0.626369539025849
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+8 0 2 0 0 36 48 60 0.618949321017137
+8 0 2 0 0 36 48 61 0.599843587946923
+8 0 2 0 0 36 48 62 0.574164535082256
+8 0 2 0 0 36 48 63 0.542195050715446
+8 0 2 0 0 36 48 64 0.504285141633512
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+8 0 2 0 0 36 48 67 0.359363952492261
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+8 0 2 0 0 36 48 69 0.242171793158372
+8 0 2 0 0 36 48 70 0.179265717139985
+8 0 2 0 0 36 48 71 0.114395564521575
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+8 0 2 0 0 36 48 73 -0.0183802806436887
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+8 0 2 0 0 36 48 83 -0.559808023901149
+8 0 2 0 0 36 48 84 -0.589257968883621
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -0.507666077925392
+8 0 1 0 0 36 48 36 -0.416184622317406
+8 0 1 0 0 36 48 38 -0.306002904149347
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+8 0 1 0 0 36 48 56 0.626369539025849
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+8 0 1 0 0 36 48 60 0.618949321017137
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+8 0 1 0 0 36 48 66 0.412366052248547
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+8 0 1 0 0 36 48 84 -0.589257968883621
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+8 0 1 0 0 36 48 98 -0.306033196666563
+8 0 1 0 0 36 48 100 -0.185373045159889
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 0.621361463077223
+8 0 0 0 0 36 48 4 0.508360375451158
+8 0 0 0 0 36 48 8 0.307459160600559
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+8 0 0 0 0 36 48 100 -0.185373045159889
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+8 0 0 0 0 36 48 128 0.307459160600559
+8 0 0 0 0 36 48 132 0.0533954637033422
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 0.516929573510861
+9 0 2 0 0 36 48 52 0.552869862228206
+9 0 2 0 0 36 48 53 0.585413290631068
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+9 0 2 0 0 36 48 68 0.255404391689444
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+9 0 2 0 0 36 48 83 -0.582530193884911
+9 0 2 0 0 36 48 84 -0.607257040533847
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 0.545672719020585
+10 0 2 0 0 36 48 52 0.576827771121588
+10 0 2 0 0 36 48 53 0.604509598475081
+10 0 2 0 0 36 48 54 0.619616688619442
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+10 0 2 0 0 36 48 58 0.625012134847628
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+10 0 2 0 0 36 48 67 0.268506221279227
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+10 0 2 0 0 36 48 83 -0.601880890525543
+10 0 2 0 0 36 48 84 -0.621322912730077
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -0.439317615563132
+10 0 1 0 0 36 48 36 -0.332993572401284
+10 0 1 0 0 36 48 38 -0.209667135336965
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+10 0 1 0 0 36 48 100 -0.0861901861139343
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.570552177819203
+11 0 2 0 0 36 48 52 0.596710308004242
+11 0 2 0 0 36 48 53 0.619517758153887
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+11 0 2 0 0 36 48 84 -0.631112533127182
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.591719804895147
+12 0 2 0 0 36 48 52 0.612689687988071
+12 0 2 0 0 36 48 53 0.630348177265688
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+12 0 2 0 0 36 48 84 -0.636740252506873
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -0.357269358807808
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+12 0 1 0 0 36 48 100 0.0177661373646553
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 0.542663970499056
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+12 0 0 0 0 36 48 132 -0.152493889977748
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 0.608757845205151
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+13 0 2 0 0 36 48 84 -0.638030245815621
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 0.621781049783119
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+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -0.267726361009025
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+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 0.635040635453942
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -0.168533868880273
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+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 0.406862107822967
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 0.631127531557734
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+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+20 0 1 0 0 36 48 98 0.287775509230891
+20 0 1 0 0 36 48 100 0.398394607299534
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 0.228092326204497
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+20 0 0 0 0 36 48 132 -0.497312592198739
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 0.593444564628293
+21 0 2 0 0 36 48 52 0.565890263067954
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+21 0 2 0 0 36 48 84 -0.498898717639375
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 0.572632280977383
+22 0 2 0 0 36 48 52 0.540138912586285
+22 0 2 0 0 36 48 53 0.506236282854564
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+22 0 2 0 0 36 48 83 -0.506921184746363
+22 0 2 0 0 36 48 84 -0.464467759347723
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 0.140401812911275
+22 0 1 0 0 36 48 36 0.268799987190813
+22 0 1 0 0 36 48 38 0.393846849333374
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+22 0 1 0 0 36 48 98 0.373584744127879
+22 0 1 0 0 36 48 100 0.472740492521142
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 0.548075038727774
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+23 0 2 0 0 36 48 53 0.472393335884057
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+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 0.519668173059994
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+24 0 2 0 0 36 48 84 -0.386711493556463
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 0.241222183454859
+24 0 1 0 0 36 48 36 0.360673445307137
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+24 0 1 0 0 36 48 98 0.45284734267347
+24 0 1 0 0 36 48 100 0.53691973212252
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 0.0250520622042941
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+
+