Adapted test suites and added results.

darcs-hash:20010311110439-f6438-09379ce46431a1e2bc139887b3ce7df44bc461b2.gz

3 files changed, 693 insertions, 693 deletions

diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.xl
index e239ab8f7..843c885b6 100644
--- a/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.xl
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.xl
@@ -1,288 +1,288 @@
 # WAVETOY::phi x (phi)
 #
 # iteration 0
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   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 10 10 2.13769355812841e-44
-0 0 0 0 0 1 10 10 9.81238207534605e-36
-0 0 0 0 0 2 10 10 4.91109129723921e-28
-0 0 0 0 0 3 10 10 2.68013160656255e-21
-0 0 0 0 0 4 10 10 1.59480940571288e-15
-0 0 0 0 0 5 10 10 1.03475137373628e-10
-0 0 0 0 0 6 10 10 7.32045019582289e-07
-0 0 0 0 0 7 10 10 0.000564695236523836
-0 0 0 0 0 8 10 10 0.0474968724749268
-0 0 0 0 0 9 10 10 0.435602594953338
-0 0 0 0 0 10 10 10 0.435602594953338
-0 0 0 0 0 11 10 10 0.047496872474927
-0 0 0 0 0 12 10 10 0.00056469523652384
-0 0 0 0 0 13 10 10 7.32045019582296e-07
-0 0 0 0 0 14 10 10 1.0347513737363e-10
-0 0 0 0 0 15 10 10 1.5948094057129e-15
-0 0 0 0 0 16 10 10 2.68013160656261e-21
-0 0 0 0 0 17 10 10 4.91109129723928e-28
-0 0 0 0 0 18 10 10 9.81238207534619e-36
-0 0 0 0 0 19 10 10 2.13769355812841e-44
+0 1 0 0 0 0 20 20 2.13769355812841e-44
+0 1 0 0 0 2 20 20 9.81238207534605e-36
+0 1 0 0 0 4 20 20 4.91109129723921e-28
+0 1 0 0 0 6 20 20 2.68013160656255e-21
+0 1 0 0 0 8 20 20 1.59480940571288e-15
+0 1 0 0 0 10 20 20 1.03475137373628e-10
+0 1 0 0 0 12 20 20 7.32045019582289e-07
+0 1 0 0 0 14 20 20 0.000564695236523836
+0 1 0 0 0 16 20 20 0.0474968724749268
+0 1 0 0 0 18 20 20 0.435602594953338
+0 1 0 0 0 20 20 20 0.435602594953338
+0 1 0 0 0 22 20 20 0.047496872474927
+0 1 0 0 0 24 20 20 0.00056469523652384
+0 1 0 0 0 26 20 20 7.32045019582296e-07
+0 1 0 0 0 28 20 20 1.0347513737363e-10
+0 1 0 0 0 30 20 20 1.5948094057129e-15
+0 1 0 0 0 32 20 20 2.68013160656261e-21
+0 1 0 0 0 34 20 20 4.91109129723928e-28
+0 1 0 0 0 36 20 20 9.81238207534619e-36
+0 1 0 0 0 38 20 20 2.13769355812841e-44
 
 
 
 # iteration 1
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   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 10 10 0
-1 0 0 0 0 1 10 10 1.22682689034646e-28
-1 0 0 0 0 2 10 10 6.68463146460746e-22
-1 0 0 0 0 3 10 10 3.95859475931403e-16
-1 0 0 0 0 4 10 10 2.53070110965507e-11
-1 0 0 0 0 5 10 10 1.70914716385004e-07
-1 0 0 0 0 6 10 10 0.000112938462633636
-1 0 0 0 0 7 10 10 0.00485368397550732
-1 0 0 0 0 8 10 10 -0.0670042756634817
-1 0 0 0 0 9 10 10 -0.281918670454475
-1 0 0 0 0 10 10 10 -0.281918670454475
-1 0 0 0 0 11 10 10 -0.067004275663482
-1 0 0 0 0 12 10 10 0.00485368397550734
-1 0 0 0 0 13 10 10 0.000112938462633636
-1 0 0 0 0 14 10 10 1.70914716385006e-07
-1 0 0 0 0 15 10 10 2.5307011096551e-11
-1 0 0 0 0 16 10 10 3.95859475931408e-16
-1 0 0 0 0 17 10 10 6.6846314646076e-22
-1 0 0 0 0 18 10 10 1.22682689034648e-28
-1 0 0 0 0 19 10 10 0
+1 1 0 0 0 0 20 20 0
+1 1 0 0 0 2 20 20 1.22682689034646e-28
+1 1 0 0 0 4 20 20 6.68463146460746e-22
+1 1 0 0 0 6 20 20 3.95859475931403e-16
+1 1 0 0 0 8 20 20 2.53070110965507e-11
+1 1 0 0 0 10 20 20 1.70914716385004e-07
+1 1 0 0 0 12 20 20 0.000112938462633636
+1 1 0 0 0 14 20 20 0.00485368397550732
+1 1 0 0 0 16 20 20 -0.0670042756634817
+1 1 0 0 0 18 20 20 -0.281918670454475
+1 1 0 0 0 20 20 20 -0.281918670454475
+1 1 0 0 0 22 20 20 -0.067004275663482
+1 1 0 0 0 24 20 20 0.00485368397550734
+1 1 0 0 0 26 20 20 0.000112938462633636
+1 1 0 0 0 28 20 20 1.70914716385006e-07
+1 1 0 0 0 30 20 20 2.5307011096551e-11
+1 1 0 0 0 32 20 20 3.95859475931408e-16
+1 1 0 0 0 34 20 20 6.6846314646076e-22
+1 1 0 0 0 36 20 20 1.22682689034648e-28
+1 1 0 0 0 38 20 20 0
 
 
 
 # iteration 2
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   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 10 10 0
-2 0 0 0 0 1 10 10 1.67115915985643e-22
-2 0 0 0 0 2 10 10 9.89655738758155e-17
-2 0 0 0 0 3 10 10 6.32717018479805e-12
-2 0 0 0 0 4 10 10 4.27553578129613e-08
-2 0 0 0 0 5 10 10 2.84145841284519e-05
-2 0 0 0 0 6 10 10 0.00133135677107058
-2 0 0 0 0 7 10 10 -0.0123105937045863
-2 0 0 0 0 8 10 10 -0.191827773445984
-2 0 0 0 0 9 10 10 -0.838254139769044
-2 0 0 0 0 10 10 10 -0.838254139769044
-2 0 0 0 0 11 10 10 -0.191827773445984
-2 0 0 0 0 12 10 10 -0.0123105937045864
-2 0 0 0 0 13 10 10 0.00133135677107059
-2 0 0 0 0 14 10 10 2.84145841284521e-05
-2 0 0 0 0 15 10 10 4.27553578129617e-08
-2 0 0 0 0 16 10 10 6.32717018479812e-12
-2 0 0 0 0 17 10 10 9.89655738758169e-17
-2 0 0 0 0 18 10 10 1.67115915985646e-22
-2 0 0 0 0 19 10 10 0
+2 1 0 0 0 0 20 20 0
+2 1 0 0 0 2 20 20 1.67115915985643e-22
+2 1 0 0 0 4 20 20 9.89655738758155e-17
+2 1 0 0 0 6 20 20 6.32717018479805e-12
+2 1 0 0 0 8 20 20 4.27553578129613e-08
+2 1 0 0 0 10 20 20 2.84145841284519e-05
+2 1 0 0 0 12 20 20 0.00133135677107058
+2 1 0 0 0 14 20 20 -0.0123105937045863
+2 1 0 0 0 16 20 20 -0.191827773445984
+2 1 0 0 0 18 20 20 -0.838254139769044
+2 1 0 0 0 20 20 20 -0.838254139769044
+2 1 0 0 0 22 20 20 -0.191827773445984
+2 1 0 0 0 24 20 20 -0.0123105937045864
+2 1 0 0 0 26 20 20 0.00133135677107059
+2 1 0 0 0 28 20 20 2.84145841284521e-05
+2 1 0 0 0 30 20 20 4.27553578129617e-08
+2 1 0 0 0 32 20 20 6.32717018479812e-12
+2 1 0 0 0 34 20 20 9.89655738758169e-17
+2 1 0 0 0 36 20 20 1.67115915985646e-22
+2 1 0 0 0 38 20 20 0
 
 
 
 # iteration 3
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   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 10 10 0
-3 0 0 0 0 1 10 10 2.47415696923374e-17
-3 0 0 0 0 2 10 10 1.58189689968305e-12
-3 0 0 0 0 3 10 10 1.06955096189697e-08
-3 0 0 0 0 4 10 10 7.14866962467265e-06
-3 0 0 0 0 5 10 10 0.000362543700949426
-3 0 0 0 0 6 10 10 -0.00180281581401197
-3 0 0 0 0 7 10 10 -0.0661355403874472
-3 0 0 0 0 8 10 10 -0.363219448163234
-3 0 0 0 0 9 10 10 -0.909769834341317
-3 0 0 0 0 10 10 10 -0.909769834341318
-3 0 0 0 0 11 10 10 -0.363219448163234
-3 0 0 0 0 12 10 10 -0.0661355403874474
-3 0 0 0 0 13 10 10 -0.00180281581401198
-3 0 0 0 0 14 10 10 0.000362543700949428
-3 0 0 0 0 15 10 10 7.14866962467269e-06
-3 0 0 0 0 16 10 10 1.06955096189698e-08
-3 0 0 0 0 17 10 10 1.58189689968307e-12
-3 0 0 0 0 18 10 10 2.47415696923378e-17
-3 0 0 0 0 19 10 10 0
+3 1 0 0 0 0 20 20 0
+3 1 0 0 0 2 20 20 2.47415696923374e-17
+3 1 0 0 0 4 20 20 1.58189689968305e-12
+3 1 0 0 0 6 20 20 1.06955096189697e-08
+3 1 0 0 0 8 20 20 7.14866962467265e-06
+3 1 0 0 0 10 20 20 0.000362543700949426
+3 1 0 0 0 12 20 20 -0.00180281581401197
+3 1 0 0 0 14 20 20 -0.0661355403874472
+3 1 0 0 0 16 20 20 -0.363219448163234
+3 1 0 0 0 18 20 20 -0.909769834341317
+3 1 0 0 0 20 20 20 -0.909769834341318
+3 1 0 0 0 22 20 20 -0.363219448163234
+3 1 0 0 0 24 20 20 -0.0661355403874474
+3 1 0 0 0 26 20 20 -0.00180281581401198
+3 1 0 0 0 28 20 20 0.000362543700949428
+3 1 0 0 0 30 20 20 7.14866962467269e-06
+3 1 0 0 0 32 20 20 1.06955096189698e-08
+3 1 0 0 0 34 20 20 1.58189689968307e-12
+3 1 0 0 0 36 20 20 2.47415696923378e-17
+3 1 0 0 0 38 20 20 0
 
 
 
 # iteration 4
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   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 10 10 0
-4 0 0 0 0 1 10 10 3.95500313485421e-13
-4 0 0 0 0 2 10 10 2.67554506710229e-09
-4 0 0 0 0 3 10 10 1.79843103280261e-06
-4 0 0 0 0 4 10 10 9.81141807427285e-05
-4 0 0 0 0 5 10 10 -9.77890293755282e-05
-4 0 0 0 0 6 10 10 -0.0197154488008626
-4 0 0 0 0 7 10 10 -0.154257957160012
-4 0 0 0 0 8 10 10 -0.477053040993001
-4 0 0 0 0 9 10 10 -0.571372739280028
-4 0 0 0 0 10 10 10 -0.571372739280028
-4 0 0 0 0 11 10 10 -0.477053040993001
-4 0 0 0 0 12 10 10 -0.154257957160012
-4 0 0 0 0 13 10 10 -0.0197154488008626
-4 0 0 0 0 14 10 10 -9.77890293755287e-05
-4 0 0 0 0 15 10 10 9.81141807427289e-05
-4 0 0 0 0 16 10 10 1.79843103280262e-06
-4 0 0 0 0 17 10 10 2.67554506710232e-09
-4 0 0 0 0 18 10 10 3.95500313485426e-13
-4 0 0 0 0 19 10 10 0
+4 1 0 0 0 0 20 20 0
+4 1 0 0 0 2 20 20 3.95500313485421e-13
+4 1 0 0 0 4 20 20 2.67554506710229e-09
+4 1 0 0 0 6 20 20 1.79843103280261e-06
+4 1 0 0 0 8 20 20 9.81141807427285e-05
+4 1 0 0 0 10 20 20 -9.77890293755282e-05
+4 1 0 0 0 12 20 20 -0.0197154488008626
+4 1 0 0 0 14 20 20 -0.154257957160012
+4 1 0 0 0 16 20 20 -0.477053040993001
+4 1 0 0 0 18 20 20 -0.571372739280028
+4 1 0 0 0 20 20 20 -0.571372739280028
+4 1 0 0 0 22 20 20 -0.477053040993001
+4 1 0 0 0 24 20 20 -0.154257957160012
+4 1 0 0 0 26 20 20 -0.0197154488008626
+4 1 0 0 0 28 20 20 -9.77890293755287e-05
+4 1 0 0 0 30 20 20 9.81141807427289e-05
+4 1 0 0 0 32 20 20 1.79843103280262e-06
+4 1 0 0 0 34 20 20 2.67554506710232e-09
+4 1 0 0 0 36 20 20 3.95500313485426e-13
+4 1 0 0 0 38 20 20 0
 
 
 
 # iteration 5
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   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 10 10 0
-5 0 0 0 0 1 10 10 6.693032110513e-10
-5 0 0 0 0 2 10 10 4.52425597130395e-07
-5 0 0 0 0 3 10 10 2.64111506026688e-05
-5 0 0 0 0 4 10 10 7.239670253815e-05
-5 0 0 0 0 5 10 10 -0.00534199985172874
-5 0 0 0 0 6 10 10 -0.0591799530595224
-5 0 0 0 0 7 10 10 -0.242393755395384
-5 0 0 0 0 8 10 10 -0.416512311171182
-5 0 0 0 0 9 10 10 -0.162235870503469
-5 0 0 0 0 10 10 10 -0.162235870503468
-5 0 0 0 0 11 10 10 -0.416512311171182
-5 0 0 0 0 12 10 10 -0.242393755395385
-5 0 0 0 0 13 10 10 -0.0591799530595225
-5 0 0 0 0 14 10 10 -0.00534199985172875
-5 0 0 0 0 15 10 10 7.23967025381503e-05
-5 0 0 0 0 16 10 10 2.64111506026689e-05
-5 0 0 0 0 17 10 10 4.52425597130398e-07
-5 0 0 0 0 18 10 10 6.69303211051306e-10
-5 0 0 0 0 19 10 10 0
+5 1 0 0 0 0 20 20 0
+5 1 0 0 0 2 20 20 6.693032110513e-10
+5 1 0 0 0 4 20 20 4.52425597130395e-07
+5 1 0 0 0 6 20 20 2.64111506026688e-05
+5 1 0 0 0 8 20 20 7.239670253815e-05
+5 1 0 0 0 10 20 20 -0.00534199985172874
+5 1 0 0 0 12 20 20 -0.0591799530595224
+5 1 0 0 0 14 20 20 -0.242393755395384
+5 1 0 0 0 16 20 20 -0.416512311171182
+5 1 0 0 0 18 20 20 -0.162235870503469
+5 1 0 0 0 20 20 20 -0.162235870503468
+5 1 0 0 0 22 20 20 -0.416512311171182
+5 1 0 0 0 24 20 20 -0.242393755395385
+5 1 0 0 0 26 20 20 -0.0591799530595225
+5 1 0 0 0 28 20 20 -0.00534199985172875
+5 1 0 0 0 30 20 20 7.23967025381503e-05
+5 1 0 0 0 32 20 20 2.64111506026689e-05
+5 1 0 0 0 34 20 20 4.52425597130398e-07
+5 1 0 0 0 36 20 20 6.69303211051306e-10
+5 1 0 0 0 38 20 20 0
 
 
 
 # iteration 6
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   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 10 10 0
-6 0 0 0 0 1 10 10 1.13811317397662e-07
-6 0 0 0 0 2 10 10 7.07670174667689e-06
-6 0 0 0 0 3 10 10 4.44798688829561e-05
-6 0 0 0 0 4 10 10 -0.00133276732717108
-6 0 0 0 0 5 10 10 -0.0207006388099142
-6 0 0 0 0 6 10 10 -0.113482596872543
-6 0 0 0 0 7 10 10 -0.274751275149732
-6 0 0 0 0 8 10 10 -0.217136795981632
-6 0 0 0 0 9 10 10 0.0561936677723053
-6 0 0 0 0 10 10 10 0.0561936677723056
-6 0 0 0 0 11 10 10 -0.217136795981632
-6 0 0 0 0 12 10 10 -0.274751275149732
-6 0 0 0 0 13 10 10 -0.113482596872543
-6 0 0 0 0 14 10 10 -0.0207006388099143
-6 0 0 0 0 15 10 10 -0.00133276732717108
-6 0 0 0 0 16 10 10 4.44798688829563e-05
-6 0 0 0 0 17 10 10 7.07670174667692e-06
-6 0 0 0 0 18 10 10 1.13811317397662e-07
-6 0 0 0 0 19 10 10 0
+6 1 0 0 0 0 20 20 0
+6 1 0 0 0 2 20 20 1.13811317397662e-07
+6 1 0 0 0 4 20 20 7.07670174667689e-06
+6 1 0 0 0 6 20 20 4.44798688829561e-05
+6 1 0 0 0 8 20 20 -0.00133276732717108
+6 1 0 0 0 10 20 20 -0.0207006388099142
+6 1 0 0 0 12 20 20 -0.113482596872543
+6 1 0 0 0 14 20 20 -0.274751275149732
+6 1 0 0 0 16 20 20 -0.217136795981632
+6 1 0 0 0 18 20 20 0.0561936677723053
+6 1 0 0 0 20 20 20 0.0561936677723056
+6 1 0 0 0 22 20 20 -0.217136795981632
+6 1 0 0 0 24 20 20 -0.274751275149732
+6 1 0 0 0 26 20 20 -0.113482596872543
+6 1 0 0 0 28 20 20 -0.0207006388099143
+6 1 0 0 0 30 20 20 -0.00133276732717108
+6 1 0 0 0 32 20 20 4.44798688829563e-05
+6 1 0 0 0 34 20 20 7.07670174667692e-06
+6 1 0 0 0 36 20 20 1.13811317397662e-07
+6 1 0 0 0 38 20 20 0
 
 
 
 # iteration 7
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-7 0 0 0 0 0 10 10 0
-7 0 0 0 0 1 10 10 1.88842835173522e-06
-7 0 0 0 0 2 10 10 1.82615433390579e-05
-7 0 0 0 0 3 10 10 -0.000303370910566002
-7 0 0 0 0 4 10 10 -0.0067173106912752
-7 0 0 0 0 5 10 10 -0.0483316756133807
-7 0 0 0 0 6 10 10 -0.160680197396579
-7 0 0 0 0 7 10 10 -0.225795013580303
-7 0 0 0 0 8 10 10 -0.0302663611493069
-7 0 0 0 0 9 10 10 0.0696253582326263
-7 0 0 0 0 10 10 10 0.0696253582326263
-7 0 0 0 0 11 10 10 -0.0302663611493066
-7 0 0 0 0 12 10 10 -0.225795013580303
-7 0 0 0 0 13 10 10 -0.160680197396579
-7 0 0 0 0 14 10 10 -0.0483316756133808
-7 0 0 0 0 15 10 10 -0.00671731069127522
-7 0 0 0 0 16 10 10 -0.000303370910566003
-7 0 0 0 0 17 10 10 1.8261543339058e-05
-7 0 0 0 0 18 10 10 1.88842835173522e-06
-7 0 0 0 0 19 10 10 0
+7 1 0 0 0 0 20 20 0
+7 1 0 0 0 2 20 20 1.88842835173522e-06
+7 1 0 0 0 4 20 20 1.82615433390579e-05
+7 1 0 0 0 6 20 20 -0.000303370910566002
+7 1 0 0 0 8 20 20 -0.0067173106912752
+7 1 0 0 0 10 20 20 -0.0483316756133807
+7 1 0 0 0 12 20 20 -0.160680197396579
+7 1 0 0 0 14 20 20 -0.225795013580303
+7 1 0 0 0 16 20 20 -0.0302663611493069
+7 1 0 0 0 18 20 20 0.0696253582326263
+7 1 0 0 0 20 20 20 0.0696253582326263
+7 1 0 0 0 22 20 20 -0.0302663611493066
+7 1 0 0 0 24 20 20 -0.225795013580303
+7 1 0 0 0 26 20 20 -0.160680197396579
+7 1 0 0 0 28 20 20 -0.0483316756133808
+7 1 0 0 0 30 20 20 -0.00671731069127522
+7 1 0 0 0 32 20 20 -0.000303370910566003
+7 1 0 0 0 34 20 20 1.8261543339058e-05
+7 1 0 0 0 36 20 20 1.88842835173522e-06
+7 1 0 0 0 38 20 20 0
 
 
 
 # iteration 8
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   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 10 10 0
-8 0 0 0 0 1 10 10 6.48117414563856e-06
-8 0 0 0 0 2 10 10 -6.04396714485246e-05
-8 0 0 0 0 3 10 10 -0.00204743656355179
-8 0 0 0 0 4 10 10 -0.0189160596760373
-8 0 0 0 0 5 10 10 -0.08332429364187
-8 0 0 0 0 6 10 10 -0.177263752132348
-8 0 0 0 0 7 10 10 -0.129192651620611
-8 0 0 0 0 8 10 10 0.0443520012015004
-8 0 0 0 0 9 10 10 0.00813825915649741
-8 0 0 0 0 10 10 10 0.00813825915649736
-8 0 0 0 0 11 10 10 0.0443520012015006
-8 0 0 0 0 12 10 10 -0.12919265162061
-8 0 0 0 0 13 10 10 -0.177263752132348
-8 0 0 0 0 14 10 10 -0.0833242936418701
-8 0 0 0 0 15 10 10 -0.0189160596760373
-8 0 0 0 0 16 10 10 -0.0020474365635518
-8 0 0 0 0 17 10 10 -6.04396714485248e-05
-8 0 0 0 0 18 10 10 6.48117414563859e-06
-8 0 0 0 0 19 10 10 0
+8 1 0 0 0 0 20 20 0
+8 1 0 0 0 2 20 20 6.48117414563856e-06
+8 1 0 0 0 4 20 20 -6.04396714485246e-05
+8 1 0 0 0 6 20 20 -0.00204743656355179
+8 1 0 0 0 8 20 20 -0.0189160596760373
+8 1 0 0 0 10 20 20 -0.08332429364187
+8 1 0 0 0 12 20 20 -0.177263752132348
+8 1 0 0 0 14 20 20 -0.129192651620611
+8 1 0 0 0 16 20 20 0.0443520012015004
+8 1 0 0 0 18 20 20 0.00813825915649741
+8 1 0 0 0 20 20 20 0.00813825915649736
+8 1 0 0 0 22 20 20 0.0443520012015006
+8 1 0 0 0 24 20 20 -0.12919265162061
+8 1 0 0 0 26 20 20 -0.177263752132348
+8 1 0 0 0 28 20 20 -0.0833242936418701
+8 1 0 0 0 30 20 20 -0.0189160596760373
+8 1 0 0 0 32 20 20 -0.0020474365635518
+8 1 0 0 0 34 20 20 -6.04396714485248e-05
+8 1 0 0 0 36 20 20 6.48117414563859e-06
+8 1 0 0 0 38 20 20 0
 
 
 
 # iteration 9
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-9 0 0 0 0 0 10 10 0
-9 0 0 0 0 1 10 10 -9.23817882069273e-06
-9 0 0 0 0 2 10 10 -0.000590230726689046
-9 0 0 0 0 3 10 10 -0.0068967819068776
-9 0 0 0 0 4 10 10 -0.0389052231484413
-9 0 0 0 0 5 10 10 -0.114612889871635
-9 0 0 0 0 6 10 10 -0.15580435440971
-9 0 0 0 0 7 10 10 -0.0417427533393864
-9 0 0 0 0 8 10 10 0.0295094995247097
-9 0 0 0 0 9 10 10 -0.0261885333858792
-9 0 0 0 0 10 10 10 -0.0261885333858792
-9 0 0 0 0 11 10 10 0.0295094995247098
-9 0 0 0 0 12 10 10 -0.0417427533393862
-9 0 0 0 0 13 10 10 -0.15580435440971
-9 0 0 0 0 14 10 10 -0.114612889871635
-9 0 0 0 0 15 10 10 -0.0389052231484414
-9 0 0 0 0 16 10 10 -0.00689678190687761
-9 0 0 0 0 17 10 10 -0.000590230726689047
-9 0 0 0 0 18 10 10 -9.23817882069273e-06
-9 0 0 0 0 19 10 10 0
+9 1 0 0 0 0 20 20 0
+9 1 0 0 0 2 20 20 -9.23817882069273e-06
+9 1 0 0 0 4 20 20 -0.000590230726689046
+9 1 0 0 0 6 20 20 -0.0068967819068776
+9 1 0 0 0 8 20 20 -0.0389052231484413
+9 1 0 0 0 10 20 20 -0.114612889871635
+9 1 0 0 0 12 20 20 -0.15580435440971
+9 1 0 0 0 14 20 20 -0.0417427533393864
+9 1 0 0 0 16 20 20 0.0295094995247097
+9 1 0 0 0 18 20 20 -0.0261885333858792
+9 1 0 0 0 20 20 20 -0.0261885333858792
+9 1 0 0 0 22 20 20 0.0295094995247098
+9 1 0 0 0 24 20 20 -0.0417427533393862
+9 1 0 0 0 26 20 20 -0.15580435440971
+9 1 0 0 0 28 20 20 -0.114612889871635
+9 1 0 0 0 30 20 20 -0.0389052231484414
+9 1 0 0 0 32 20 20 -0.00689678190687761
+9 1 0 0 0 34 20 20 -0.000590230726689047
+9 1 0 0 0 36 20 20 -9.23817882069273e-06
+9 1 0 0 0 38 20 20 0
 
 
 
 # iteration 10
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   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 10 10 0
-10 0 0 0 0 1 10 10 -0.000161871977848914
-10 0 0 0 0 2 10 10 -0.00236947911491751
-10 0 0 0 0 3 10 10 -0.0166505589685362
-10 0 0 0 0 4 10 10 -0.064163184805119
-10 0 0 0 0 5 10 10 -0.130411533364738
-10 0 0 0 0 6 10 10 -0.10750594086851
-10 0 0 0 0 7 10 10 0.0072111680655955
-10 0 0 0 0 8 10 10 -0.0022163213506164
-10 0 0 0 0 9 10 10 -0.018741801245314
-10 0 0 0 0 10 10 10 -0.018741801245314
-10 0 0 0 0 11 10 10 -0.00221632135061644
-10 0 0 0 0 12 10 10 0.00721116806559556
-10 0 0 0 0 13 10 10 -0.10750594086851
-10 0 0 0 0 14 10 10 -0.130411533364738
-10 0 0 0 0 15 10 10 -0.0641631848051191
-10 0 0 0 0 16 10 10 -0.0166505589685362
-10 0 0 0 0 17 10 10 -0.00236947911491752
-10 0 0 0 0 18 10 10 -0.000161871977848915
-10 0 0 0 0 19 10 10 0
+10 1 0 0 0 0 20 20 0
+10 1 0 0 0 2 20 20 -0.000161871977848914
+10 1 0 0 0 4 20 20 -0.00236947911491751
+10 1 0 0 0 6 20 20 -0.0166505589685362
+10 1 0 0 0 8 20 20 -0.064163184805119
+10 1 0 0 0 10 20 20 -0.130411533364738
+10 1 0 0 0 12 20 20 -0.10750594086851
+10 1 0 0 0 14 20 20 0.0072111680655955
+10 1 0 0 0 16 20 20 -0.0022163213506164
+10 1 0 0 0 18 20 20 -0.018741801245314
+10 1 0 0 0 20 20 20 -0.018741801245314
+10 1 0 0 0 22 20 20 -0.00221632135061644
+10 1 0 0 0 24 20 20 0.00721116806559556
+10 1 0 0 0 26 20 20 -0.10750594086851
+10 1 0 0 0 28 20 20 -0.130411533364738
+10 1 0 0 0 30 20 20 -0.0641631848051191
+10 1 0 0 0 32 20 20 -0.0166505589685362
+10 1 0 0 0 34 20 20 -0.00236947911491752
+10 1 0 0 0 36 20 20 -0.000161871977848915
+10 1 0 0 0 38 20 20 0
 
 
 
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.yl
index 06c729092..07c729e44 100644
--- a/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.yl
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.yl
@@ -1,288 +1,288 @@
 # WAVETOY::phi y (phi)
 #
 # iteration 0
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-0 0 0 0 0 10 0 10 2.13769355812841e-44
-0 0 0 0 0 10 1 10 9.81238207534605e-36
-0 0 0 0 0 10 2 10 4.91109129723921e-28
-0 0 0 0 0 10 3 10 2.68013160656255e-21
-0 0 0 0 0 10 4 10 1.59480940571288e-15
-0 0 0 0 0 10 5 10 1.03475137373628e-10
-0 0 0 0 0 10 6 10 7.32045019582289e-07
-0 0 0 0 0 10 7 10 0.000564695236523836
-0 0 0 0 0 10 8 10 0.0474968724749268
-0 0 0 0 0 10 9 10 0.435602594953338
-0 0 0 0 0 10 10 10 0.435602594953338
-0 0 0 0 0 10 11 10 0.047496872474927
-0 0 0 0 0 10 12 10 0.00056469523652384
-0 0 0 0 0 10 13 10 7.32045019582296e-07
-0 0 0 0 0 10 14 10 1.0347513737363e-10
-0 0 0 0 0 10 15 10 1.5948094057129e-15
-0 0 0 0 0 10 16 10 2.68013160656261e-21
-0 0 0 0 0 10 17 10 4.91109129723928e-28
-0 0 0 0 0 10 18 10 9.81238207534619e-36
-0 0 0 0 0 10 19 10 2.13769355812841e-44
+0 1 0 0 0 20 0 20 2.13769355812841e-44
+0 1 0 0 0 20 2 20 9.81238207534605e-36
+0 1 0 0 0 20 4 20 4.91109129723921e-28
+0 1 0 0 0 20 6 20 2.68013160656255e-21
+0 1 0 0 0 20 8 20 1.59480940571288e-15
+0 1 0 0 0 20 10 20 1.03475137373628e-10
+0 1 0 0 0 20 12 20 7.32045019582289e-07
+0 1 0 0 0 20 14 20 0.000564695236523836
+0 1 0 0 0 20 16 20 0.0474968724749268
+0 1 0 0 0 20 18 20 0.435602594953338
+0 1 0 0 0 20 20 20 0.435602594953338
+0 1 0 0 0 20 22 20 0.047496872474927
+0 1 0 0 0 20 24 20 0.00056469523652384
+0 1 0 0 0 20 26 20 7.32045019582296e-07
+0 1 0 0 0 20 28 20 1.0347513737363e-10
+0 1 0 0 0 20 30 20 1.5948094057129e-15
+0 1 0 0 0 20 32 20 2.68013160656261e-21
+0 1 0 0 0 20 34 20 4.91109129723928e-28
+0 1 0 0 0 20 36 20 9.81238207534619e-36
+0 1 0 0 0 20 38 20 2.13769355812841e-44
 
 
 
 # iteration 1
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-1 0 0 0 0 10 0 10 0
-1 0 0 0 0 10 1 10 1.22682689034646e-28
-1 0 0 0 0 10 2 10 6.68463146460746e-22
-1 0 0 0 0 10 3 10 3.95859475931402e-16
-1 0 0 0 0 10 4 10 2.53070110965507e-11
-1 0 0 0 0 10 5 10 1.70914716385004e-07
-1 0 0 0 0 10 6 10 0.000112938462633636
-1 0 0 0 0 10 7 10 0.00485368397550732
-1 0 0 0 0 10 8 10 -0.0670042756634817
-1 0 0 0 0 10 9 10 -0.281918670454475
-1 0 0 0 0 10 10 10 -0.281918670454475
-1 0 0 0 0 10 11 10 -0.067004275663482
-1 0 0 0 0 10 12 10 0.00485368397550734
-1 0 0 0 0 10 13 10 0.000112938462633636
-1 0 0 0 0 10 14 10 1.70914716385006e-07
-1 0 0 0 0 10 15 10 2.5307011096551e-11
-1 0 0 0 0 10 16 10 3.95859475931408e-16
-1 0 0 0 0 10 17 10 6.68463146460761e-22
-1 0 0 0 0 10 18 10 1.22682689034648e-28
-1 0 0 0 0 10 19 10 0
+1 1 0 0 0 20 0 20 0
+1 1 0 0 0 20 2 20 1.22682689034646e-28
+1 1 0 0 0 20 4 20 6.68463146460746e-22
+1 1 0 0 0 20 6 20 3.95859475931402e-16
+1 1 0 0 0 20 8 20 2.53070110965507e-11
+1 1 0 0 0 20 10 20 1.70914716385004e-07
+1 1 0 0 0 20 12 20 0.000112938462633636
+1 1 0 0 0 20 14 20 0.00485368397550732
+1 1 0 0 0 20 16 20 -0.0670042756634817
+1 1 0 0 0 20 18 20 -0.281918670454475
+1 1 0 0 0 20 20 20 -0.281918670454475
+1 1 0 0 0 20 22 20 -0.067004275663482
+1 1 0 0 0 20 24 20 0.00485368397550734
+1 1 0 0 0 20 26 20 0.000112938462633636
+1 1 0 0 0 20 28 20 1.70914716385006e-07
+1 1 0 0 0 20 30 20 2.5307011096551e-11
+1 1 0 0 0 20 32 20 3.95859475931408e-16
+1 1 0 0 0 20 34 20 6.68463146460761e-22
+1 1 0 0 0 20 36 20 1.22682689034648e-28
+1 1 0 0 0 20 38 20 0
 
 
 
 # iteration 2
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-2 0 0 0 0 10 0 10 0
-2 0 0 0 0 10 1 10 1.67115915985643e-22
-2 0 0 0 0 10 2 10 9.89655738758154e-17
-2 0 0 0 0 10 3 10 6.32717018479805e-12
-2 0 0 0 0 10 4 10 4.27553578129613e-08
-2 0 0 0 0 10 5 10 2.84145841284519e-05
-2 0 0 0 0 10 6 10 0.00133135677107058
-2 0 0 0 0 10 7 10 -0.0123105937045863
-2 0 0 0 0 10 8 10 -0.191827773445984
-2 0 0 0 0 10 9 10 -0.838254139769044
-2 0 0 0 0 10 10 10 -0.838254139769044
-2 0 0 0 0 10 11 10 -0.191827773445984
-2 0 0 0 0 10 12 10 -0.0123105937045864
-2 0 0 0 0 10 13 10 0.00133135677107059
-2 0 0 0 0 10 14 10 2.84145841284521e-05
-2 0 0 0 0 10 15 10 4.27553578129617e-08
-2 0 0 0 0 10 16 10 6.32717018479812e-12
-2 0 0 0 0 10 17 10 9.89655738758169e-17
-2 0 0 0 0 10 18 10 1.67115915985646e-22
-2 0 0 0 0 10 19 10 0
+2 1 0 0 0 20 0 20 0
+2 1 0 0 0 20 2 20 1.67115915985643e-22
+2 1 0 0 0 20 4 20 9.89655738758154e-17
+2 1 0 0 0 20 6 20 6.32717018479805e-12
+2 1 0 0 0 20 8 20 4.27553578129613e-08
+2 1 0 0 0 20 10 20 2.84145841284519e-05
+2 1 0 0 0 20 12 20 0.00133135677107058
+2 1 0 0 0 20 14 20 -0.0123105937045863
+2 1 0 0 0 20 16 20 -0.191827773445984
+2 1 0 0 0 20 18 20 -0.838254139769044
+2 1 0 0 0 20 20 20 -0.838254139769044
+2 1 0 0 0 20 22 20 -0.191827773445984
+2 1 0 0 0 20 24 20 -0.0123105937045864
+2 1 0 0 0 20 26 20 0.00133135677107059
+2 1 0 0 0 20 28 20 2.84145841284521e-05
+2 1 0 0 0 20 30 20 4.27553578129617e-08
+2 1 0 0 0 20 32 20 6.32717018479812e-12
+2 1 0 0 0 20 34 20 9.89655738758169e-17
+2 1 0 0 0 20 36 20 1.67115915985646e-22
+2 1 0 0 0 20 38 20 0
 
 
 
 # iteration 3
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-3 0 0 0 0 10 0 10 0
-3 0 0 0 0 10 1 10 2.47415696923374e-17
-3 0 0 0 0 10 2 10 1.58189689968305e-12
-3 0 0 0 0 10 3 10 1.06955096189697e-08
-3 0 0 0 0 10 4 10 7.14866962467265e-06
-3 0 0 0 0 10 5 10 0.000362543700949426
-3 0 0 0 0 10 6 10 -0.00180281581401197
-3 0 0 0 0 10 7 10 -0.0661355403874472
-3 0 0 0 0 10 8 10 -0.363219448163234
-3 0 0 0 0 10 9 10 -0.909769834341317
-3 0 0 0 0 10 10 10 -0.909769834341318
-3 0 0 0 0 10 11 10 -0.363219448163234
-3 0 0 0 0 10 12 10 -0.0661355403874474
-3 0 0 0 0 10 13 10 -0.00180281581401198
-3 0 0 0 0 10 14 10 0.000362543700949427
-3 0 0 0 0 10 15 10 7.14866962467269e-06
-3 0 0 0 0 10 16 10 1.06955096189698e-08
-3 0 0 0 0 10 17 10 1.58189689968307e-12
-3 0 0 0 0 10 18 10 2.47415696923378e-17
-3 0 0 0 0 10 19 10 0
+3 1 0 0 0 20 0 20 0
+3 1 0 0 0 20 2 20 2.47415696923374e-17
+3 1 0 0 0 20 4 20 1.58189689968305e-12
+3 1 0 0 0 20 6 20 1.06955096189697e-08
+3 1 0 0 0 20 8 20 7.14866962467265e-06
+3 1 0 0 0 20 10 20 0.000362543700949426
+3 1 0 0 0 20 12 20 -0.00180281581401197
+3 1 0 0 0 20 14 20 -0.0661355403874472
+3 1 0 0 0 20 16 20 -0.363219448163234
+3 1 0 0 0 20 18 20 -0.909769834341317
+3 1 0 0 0 20 20 20 -0.909769834341318
+3 1 0 0 0 20 22 20 -0.363219448163234
+3 1 0 0 0 20 24 20 -0.0661355403874474
+3 1 0 0 0 20 26 20 -0.00180281581401198
+3 1 0 0 0 20 28 20 0.000362543700949427
+3 1 0 0 0 20 30 20 7.14866962467269e-06
+3 1 0 0 0 20 32 20 1.06955096189698e-08
+3 1 0 0 0 20 34 20 1.58189689968307e-12
+3 1 0 0 0 20 36 20 2.47415696923378e-17
+3 1 0 0 0 20 38 20 0
 
 
 
 # iteration 4
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-4 0 0 0 0 10 0 10 0
-4 0 0 0 0 10 1 10 3.95500313485421e-13
-4 0 0 0 0 10 2 10 2.67554506710229e-09
-4 0 0 0 0 10 3 10 1.79843103280261e-06
-4 0 0 0 0 10 4 10 9.81141807427286e-05
-4 0 0 0 0 10 5 10 -9.77890293755283e-05
-4 0 0 0 0 10 6 10 -0.0197154488008626
-4 0 0 0 0 10 7 10 -0.154257957160012
-4 0 0 0 0 10 8 10 -0.477053040993001
-4 0 0 0 0 10 9 10 -0.571372739280028
-4 0 0 0 0 10 10 10 -0.571372739280028
-4 0 0 0 0 10 11 10 -0.477053040993001
-4 0 0 0 0 10 12 10 -0.154257957160012
-4 0 0 0 0 10 13 10 -0.0197154488008626
-4 0 0 0 0 10 14 10 -9.77890293755288e-05
-4 0 0 0 0 10 15 10 9.81141807427289e-05
-4 0 0 0 0 10 16 10 1.79843103280262e-06
-4 0 0 0 0 10 17 10 2.67554506710232e-09
-4 0 0 0 0 10 18 10 3.95500313485425e-13
-4 0 0 0 0 10 19 10 0
+4 1 0 0 0 20 0 20 0
+4 1 0 0 0 20 2 20 3.95500313485421e-13
+4 1 0 0 0 20 4 20 2.67554506710229e-09
+4 1 0 0 0 20 6 20 1.79843103280261e-06
+4 1 0 0 0 20 8 20 9.81141807427286e-05
+4 1 0 0 0 20 10 20 -9.77890293755283e-05
+4 1 0 0 0 20 12 20 -0.0197154488008626
+4 1 0 0 0 20 14 20 -0.154257957160012
+4 1 0 0 0 20 16 20 -0.477053040993001
+4 1 0 0 0 20 18 20 -0.571372739280028
+4 1 0 0 0 20 20 20 -0.571372739280028
+4 1 0 0 0 20 22 20 -0.477053040993001
+4 1 0 0 0 20 24 20 -0.154257957160012
+4 1 0 0 0 20 26 20 -0.0197154488008626
+4 1 0 0 0 20 28 20 -9.77890293755288e-05
+4 1 0 0 0 20 30 20 9.81141807427289e-05
+4 1 0 0 0 20 32 20 1.79843103280262e-06
+4 1 0 0 0 20 34 20 2.67554506710232e-09
+4 1 0 0 0 20 36 20 3.95500313485425e-13
+4 1 0 0 0 20 38 20 0
 
 
 
 # iteration 5
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-5 0 0 0 0 10 0 10 0
-5 0 0 0 0 10 1 10 6.693032110513e-10
-5 0 0 0 0 10 2 10 4.52425597130395e-07
-5 0 0 0 0 10 3 10 2.64111506026688e-05
-5 0 0 0 0 10 4 10 7.239670253815e-05
-5 0 0 0 0 10 5 10 -0.00534199985172874
-5 0 0 0 0 10 6 10 -0.0591799530595224
-5 0 0 0 0 10 7 10 -0.242393755395384
-5 0 0 0 0 10 8 10 -0.416512311171182
-5 0 0 0 0 10 9 10 -0.162235870503469
-5 0 0 0 0 10 10 10 -0.162235870503468
-5 0 0 0 0 10 11 10 -0.416512311171182
-5 0 0 0 0 10 12 10 -0.242393755395385
-5 0 0 0 0 10 13 10 -0.0591799530595225
-5 0 0 0 0 10 14 10 -0.00534199985172875
-5 0 0 0 0 10 15 10 7.23967025381502e-05
-5 0 0 0 0 10 16 10 2.64111506026689e-05
-5 0 0 0 0 10 17 10 4.52425597130398e-07
-5 0 0 0 0 10 18 10 6.69303211051306e-10
-5 0 0 0 0 10 19 10 0
+5 1 0 0 0 20 0 20 0
+5 1 0 0 0 20 2 20 6.693032110513e-10
+5 1 0 0 0 20 4 20 4.52425597130395e-07
+5 1 0 0 0 20 6 20 2.64111506026688e-05
+5 1 0 0 0 20 8 20 7.239670253815e-05
+5 1 0 0 0 20 10 20 -0.00534199985172874
+5 1 0 0 0 20 12 20 -0.0591799530595224
+5 1 0 0 0 20 14 20 -0.242393755395384
+5 1 0 0 0 20 16 20 -0.416512311171182
+5 1 0 0 0 20 18 20 -0.162235870503469
+5 1 0 0 0 20 20 20 -0.162235870503468
+5 1 0 0 0 20 22 20 -0.416512311171182
+5 1 0 0 0 20 24 20 -0.242393755395385
+5 1 0 0 0 20 26 20 -0.0591799530595225
+5 1 0 0 0 20 28 20 -0.00534199985172875
+5 1 0 0 0 20 30 20 7.23967025381502e-05
+5 1 0 0 0 20 32 20 2.64111506026689e-05
+5 1 0 0 0 20 34 20 4.52425597130398e-07
+5 1 0 0 0 20 36 20 6.69303211051306e-10
+5 1 0 0 0 20 38 20 0
 
 
 
 # iteration 6
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-6 0 0 0 0 10 0 10 0
-6 0 0 0 0 10 1 10 1.13811317397662e-07
-6 0 0 0 0 10 2 10 7.07670174667689e-06
-6 0 0 0 0 10 3 10 4.44798688829561e-05
-6 0 0 0 0 10 4 10 -0.00133276732717108
-6 0 0 0 0 10 5 10 -0.0207006388099142
-6 0 0 0 0 10 6 10 -0.113482596872543
-6 0 0 0 0 10 7 10 -0.274751275149732
-6 0 0 0 0 10 8 10 -0.217136795981632
-6 0 0 0 0 10 9 10 0.0561936677723053
-6 0 0 0 0 10 10 10 0.0561936677723056
-6 0 0 0 0 10 11 10 -0.217136795981632
-6 0 0 0 0 10 12 10 -0.274751275149732
-6 0 0 0 0 10 13 10 -0.113482596872543
-6 0 0 0 0 10 14 10 -0.0207006388099143
-6 0 0 0 0 10 15 10 -0.00133276732717108
-6 0 0 0 0 10 16 10 4.44798688829562e-05
-6 0 0 0 0 10 17 10 7.07670174667692e-06
-6 0 0 0 0 10 18 10 1.13811317397662e-07
-6 0 0 0 0 10 19 10 0
+6 1 0 0 0 20 0 20 0
+6 1 0 0 0 20 2 20 1.13811317397662e-07
+6 1 0 0 0 20 4 20 7.07670174667689e-06
+6 1 0 0 0 20 6 20 4.44798688829561e-05
+6 1 0 0 0 20 8 20 -0.00133276732717108
+6 1 0 0 0 20 10 20 -0.0207006388099142
+6 1 0 0 0 20 12 20 -0.113482596872543
+6 1 0 0 0 20 14 20 -0.274751275149732
+6 1 0 0 0 20 16 20 -0.217136795981632
+6 1 0 0 0 20 18 20 0.0561936677723053
+6 1 0 0 0 20 20 20 0.0561936677723056
+6 1 0 0 0 20 22 20 -0.217136795981632
+6 1 0 0 0 20 24 20 -0.274751275149732
+6 1 0 0 0 20 26 20 -0.113482596872543
+6 1 0 0 0 20 28 20 -0.0207006388099143
+6 1 0 0 0 20 30 20 -0.00133276732717108
+6 1 0 0 0 20 32 20 4.44798688829562e-05
+6 1 0 0 0 20 34 20 7.07670174667692e-06
+6 1 0 0 0 20 36 20 1.13811317397662e-07
+6 1 0 0 0 20 38 20 0
 
 
 
 # iteration 7
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-7 0 0 0 0 10 0 10 0
-7 0 0 0 0 10 1 10 1.88842835173522e-06
-7 0 0 0 0 10 2 10 1.8261543339058e-05
-7 0 0 0 0 10 3 10 -0.000303370910566002
-7 0 0 0 0 10 4 10 -0.0067173106912752
-7 0 0 0 0 10 5 10 -0.0483316756133807
-7 0 0 0 0 10 6 10 -0.160680197396579
-7 0 0 0 0 10 7 10 -0.225795013580303
-7 0 0 0 0 10 8 10 -0.0302663611493069
-7 0 0 0 0 10 9 10 0.0696253582326263
-7 0 0 0 0 10 10 10 0.0696253582326263
-7 0 0 0 0 10 11 10 -0.0302663611493066
-7 0 0 0 0 10 12 10 -0.225795013580303
-7 0 0 0 0 10 13 10 -0.160680197396579
-7 0 0 0 0 10 14 10 -0.0483316756133808
-7 0 0 0 0 10 15 10 -0.00671731069127522
-7 0 0 0 0 10 16 10 -0.000303370910566003
-7 0 0 0 0 10 17 10 1.8261543339058e-05
-7 0 0 0 0 10 18 10 1.88842835173522e-06
-7 0 0 0 0 10 19 10 0
+7 1 0 0 0 20 0 20 0
+7 1 0 0 0 20 2 20 1.88842835173522e-06
+7 1 0 0 0 20 4 20 1.8261543339058e-05
+7 1 0 0 0 20 6 20 -0.000303370910566002
+7 1 0 0 0 20 8 20 -0.0067173106912752
+7 1 0 0 0 20 10 20 -0.0483316756133807
+7 1 0 0 0 20 12 20 -0.160680197396579
+7 1 0 0 0 20 14 20 -0.225795013580303
+7 1 0 0 0 20 16 20 -0.0302663611493069
+7 1 0 0 0 20 18 20 0.0696253582326263
+7 1 0 0 0 20 20 20 0.0696253582326263
+7 1 0 0 0 20 22 20 -0.0302663611493066
+7 1 0 0 0 20 24 20 -0.225795013580303
+7 1 0 0 0 20 26 20 -0.160680197396579
+7 1 0 0 0 20 28 20 -0.0483316756133808
+7 1 0 0 0 20 30 20 -0.00671731069127522
+7 1 0 0 0 20 32 20 -0.000303370910566003
+7 1 0 0 0 20 34 20 1.8261543339058e-05
+7 1 0 0 0 20 36 20 1.88842835173522e-06
+7 1 0 0 0 20 38 20 0
 
 
 
 # iteration 8
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-8 0 0 0 0 10 0 10 0
-8 0 0 0 0 10 1 10 6.48117414563857e-06
-8 0 0 0 0 10 2 10 -6.04396714485247e-05
-8 0 0 0 0 10 3 10 -0.00204743656355179
-8 0 0 0 0 10 4 10 -0.0189160596760373
-8 0 0 0 0 10 5 10 -0.08332429364187
-8 0 0 0 0 10 6 10 -0.177263752132348
-8 0 0 0 0 10 7 10 -0.129192651620611
-8 0 0 0 0 10 8 10 0.0443520012015004
-8 0 0 0 0 10 9 10 0.0081382591564974
-8 0 0 0 0 10 10 10 0.00813825915649736
-8 0 0 0 0 10 11 10 0.0443520012015005
-8 0 0 0 0 10 12 10 -0.12919265162061
-8 0 0 0 0 10 13 10 -0.177263752132348
-8 0 0 0 0 10 14 10 -0.0833242936418701
-8 0 0 0 0 10 15 10 -0.0189160596760373
-8 0 0 0 0 10 16 10 -0.0020474365635518
-8 0 0 0 0 10 17 10 -6.04396714485248e-05
-8 0 0 0 0 10 18 10 6.48117414563859e-06
-8 0 0 0 0 10 19 10 0
+8 1 0 0 0 20 0 20 0
+8 1 0 0 0 20 2 20 6.48117414563857e-06
+8 1 0 0 0 20 4 20 -6.04396714485247e-05
+8 1 0 0 0 20 6 20 -0.00204743656355179
+8 1 0 0 0 20 8 20 -0.0189160596760373
+8 1 0 0 0 20 10 20 -0.08332429364187
+8 1 0 0 0 20 12 20 -0.177263752132348
+8 1 0 0 0 20 14 20 -0.129192651620611
+8 1 0 0 0 20 16 20 0.0443520012015004
+8 1 0 0 0 20 18 20 0.0081382591564974
+8 1 0 0 0 20 20 20 0.00813825915649736
+8 1 0 0 0 20 22 20 0.0443520012015005
+8 1 0 0 0 20 24 20 -0.12919265162061
+8 1 0 0 0 20 26 20 -0.177263752132348
+8 1 0 0 0 20 28 20 -0.0833242936418701
+8 1 0 0 0 20 30 20 -0.0189160596760373
+8 1 0 0 0 20 32 20 -0.0020474365635518
+8 1 0 0 0 20 34 20 -6.04396714485248e-05
+8 1 0 0 0 20 36 20 6.48117414563859e-06
+8 1 0 0 0 20 38 20 0
 
 
 
 # iteration 9
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-9 0 0 0 0 10 0 10 0
-9 0 0 0 0 10 1 10 -9.23817882069273e-06
-9 0 0 0 0 10 2 10 -0.000590230726689046
-9 0 0 0 0 10 3 10 -0.00689678190687759
-9 0 0 0 0 10 4 10 -0.0389052231484413
-9 0 0 0 0 10 5 10 -0.114612889871635
-9 0 0 0 0 10 6 10 -0.15580435440971
-9 0 0 0 0 10 7 10 -0.0417427533393863
-9 0 0 0 0 10 8 10 0.0295094995247097
-9 0 0 0 0 10 9 10 -0.0261885333858791
-9 0 0 0 0 10 10 10 -0.0261885333858792
-9 0 0 0 0 10 11 10 0.0295094995247097
-9 0 0 0 0 10 12 10 -0.0417427533393862
-9 0 0 0 0 10 13 10 -0.15580435440971
-9 0 0 0 0 10 14 10 -0.114612889871635
-9 0 0 0 0 10 15 10 -0.0389052231484414
-9 0 0 0 0 10 16 10 -0.00689678190687761
-9 0 0 0 0 10 17 10 -0.000590230726689047
-9 0 0 0 0 10 18 10 -9.23817882069273e-06
-9 0 0 0 0 10 19 10 0
+9 1 0 0 0 20 0 20 0
+9 1 0 0 0 20 2 20 -9.23817882069273e-06
+9 1 0 0 0 20 4 20 -0.000590230726689046
+9 1 0 0 0 20 6 20 -0.00689678190687759
+9 1 0 0 0 20 8 20 -0.0389052231484413
+9 1 0 0 0 20 10 20 -0.114612889871635
+9 1 0 0 0 20 12 20 -0.15580435440971
+9 1 0 0 0 20 14 20 -0.0417427533393863
+9 1 0 0 0 20 16 20 0.0295094995247097
+9 1 0 0 0 20 18 20 -0.0261885333858791
+9 1 0 0 0 20 20 20 -0.0261885333858792
+9 1 0 0 0 20 22 20 0.0295094995247097
+9 1 0 0 0 20 24 20 -0.0417427533393862
+9 1 0 0 0 20 26 20 -0.15580435440971
+9 1 0 0 0 20 28 20 -0.114612889871635
+9 1 0 0 0 20 30 20 -0.0389052231484414
+9 1 0 0 0 20 32 20 -0.00689678190687761
+9 1 0 0 0 20 34 20 -0.000590230726689047
+9 1 0 0 0 20 36 20 -9.23817882069273e-06
+9 1 0 0 0 20 38 20 0
 
 
 
 # iteration 10
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-10 0 0 0 0 10 0 10 0
-10 0 0 0 0 10 1 10 -0.000161871977848914
-10 0 0 0 0 10 2 10 -0.00236947911491751
-10 0 0 0 0 10 3 10 -0.0166505589685362
-10 0 0 0 0 10 4 10 -0.064163184805119
-10 0 0 0 0 10 5 10 -0.130411533364738
-10 0 0 0 0 10 6 10 -0.10750594086851
-10 0 0 0 0 10 7 10 0.00721116806559549
-10 0 0 0 0 10 8 10 -0.00221632135061639
-10 0 0 0 0 10 9 10 -0.0187418012453139
-10 0 0 0 0 10 10 10 -0.018741801245314
-10 0 0 0 0 10 11 10 -0.00221632135061639
-10 0 0 0 0 10 12 10 0.00721116806559558
-10 0 0 0 0 10 13 10 -0.10750594086851
-10 0 0 0 0 10 14 10 -0.130411533364738
-10 0 0 0 0 10 15 10 -0.0641631848051191
-10 0 0 0 0 10 16 10 -0.0166505589685362
-10 0 0 0 0 10 17 10 -0.00236947911491752
-10 0 0 0 0 10 18 10 -0.000161871977848915
-10 0 0 0 0 10 19 10 0
+10 1 0 0 0 20 0 20 0
+10 1 0 0 0 20 2 20 -0.000161871977848914
+10 1 0 0 0 20 4 20 -0.00236947911491751
+10 1 0 0 0 20 6 20 -0.0166505589685362
+10 1 0 0 0 20 8 20 -0.064163184805119
+10 1 0 0 0 20 10 20 -0.130411533364738
+10 1 0 0 0 20 12 20 -0.10750594086851
+10 1 0 0 0 20 14 20 0.00721116806559549
+10 1 0 0 0 20 16 20 -0.00221632135061639
+10 1 0 0 0 20 18 20 -0.0187418012453139
+10 1 0 0 0 20 20 20 -0.018741801245314
+10 1 0 0 0 20 22 20 -0.00221632135061639
+10 1 0 0 0 20 24 20 0.00721116806559558
+10 1 0 0 0 20 26 20 -0.10750594086851
+10 1 0 0 0 20 28 20 -0.130411533364738
+10 1 0 0 0 20 30 20 -0.0641631848051191
+10 1 0 0 0 20 32 20 -0.0166505589685362
+10 1 0 0 0 20 34 20 -0.00236947911491752
+10 1 0 0 0 20 36 20 -0.000161871977848915
+10 1 0 0 0 20 38 20 0
 
 
 
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.zl
index 46a0cf70d..69df48bab 100644
--- a/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.zl
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.zl
@@ -1,288 +1,288 @@
 # WAVETOY::phi z (phi)
 #
 # iteration 0
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-0 0 0 0 0 10 10 0 2.13769355812841e-44
-0 0 0 0 0 10 10 1 9.81238207534605e-36
-0 0 0 0 0 10 10 2 4.91109129723921e-28
-0 0 0 0 0 10 10 3 2.68013160656255e-21
-0 0 0 0 0 10 10 4 1.59480940571288e-15
-0 0 0 0 0 10 10 5 1.03475137373628e-10
-0 0 0 0 0 10 10 6 7.32045019582289e-07
-0 0 0 0 0 10 10 7 0.000564695236523836
-0 0 0 0 0 10 10 8 0.0474968724749268
-0 0 0 0 0 10 10 9 0.435602594953338
-0 0 0 0 0 10 10 10 0.435602594953338
-0 0 0 0 0 10 10 11 0.047496872474927
-0 0 0 0 0 10 10 12 0.00056469523652384
-0 0 0 0 0 10 10 13 7.32045019582296e-07
-0 0 0 0 0 10 10 14 1.0347513737363e-10
-0 0 0 0 0 10 10 15 1.5948094057129e-15
-0 0 0 0 0 10 10 16 2.68013160656261e-21
-0 0 0 0 0 10 10 17 4.91109129723928e-28
-0 0 0 0 0 10 10 18 9.81238207534619e-36
-0 0 0 0 0 10 10 19 2.13769355812841e-44
+0 1 0 0 0 20 20 0 2.13769355812841e-44
+0 1 0 0 0 20 20 2 9.81238207534605e-36
+0 1 0 0 0 20 20 4 4.91109129723921e-28
+0 1 0 0 0 20 20 6 2.68013160656255e-21
+0 1 0 0 0 20 20 8 1.59480940571288e-15
+0 1 0 0 0 20 20 10 1.03475137373628e-10
+0 1 0 0 0 20 20 12 7.32045019582289e-07
+0 1 0 0 0 20 20 14 0.000564695236523836
+0 1 0 0 0 20 20 16 0.0474968724749268
+0 1 0 0 0 20 20 18 0.435602594953338
+0 1 0 0 0 20 20 20 0.435602594953338
+0 1 0 0 0 20 20 22 0.047496872474927
+0 1 0 0 0 20 20 24 0.00056469523652384
+0 1 0 0 0 20 20 26 7.32045019582296e-07
+0 1 0 0 0 20 20 28 1.0347513737363e-10
+0 1 0 0 0 20 20 30 1.5948094057129e-15
+0 1 0 0 0 20 20 32 2.68013160656261e-21
+0 1 0 0 0 20 20 34 4.91109129723928e-28
+0 1 0 0 0 20 20 36 9.81238207534619e-36
+0 1 0 0 0 20 20 38 2.13769355812841e-44
 
 
 
 # iteration 1
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-1 0 0 0 0 10 10 0 0
-1 0 0 0 0 10 10 1 1.22682689034646e-28
-1 0 0 0 0 10 10 2 6.68463146460746e-22
-1 0 0 0 0 10 10 3 3.95859475931402e-16
-1 0 0 0 0 10 10 4 2.53070110965507e-11
-1 0 0 0 0 10 10 5 1.70914716385004e-07
-1 0 0 0 0 10 10 6 0.000112938462633636
-1 0 0 0 0 10 10 7 0.00485368397550732
-1 0 0 0 0 10 10 8 -0.0670042756634817
-1 0 0 0 0 10 10 9 -0.281918670454475
-1 0 0 0 0 10 10 10 -0.281918670454475
-1 0 0 0 0 10 10 11 -0.067004275663482
-1 0 0 0 0 10 10 12 0.00485368397550734
-1 0 0 0 0 10 10 13 0.000112938462633636
-1 0 0 0 0 10 10 14 1.70914716385006e-07
-1 0 0 0 0 10 10 15 2.5307011096551e-11
-1 0 0 0 0 10 10 16 3.95859475931408e-16
-1 0 0 0 0 10 10 17 6.68463146460761e-22
-1 0 0 0 0 10 10 18 1.22682689034648e-28
-1 0 0 0 0 10 10 19 0
+1 1 0 0 0 20 20 0 0
+1 1 0 0 0 20 20 2 1.22682689034646e-28
+1 1 0 0 0 20 20 4 6.68463146460746e-22
+1 1 0 0 0 20 20 6 3.95859475931402e-16
+1 1 0 0 0 20 20 8 2.53070110965507e-11
+1 1 0 0 0 20 20 10 1.70914716385004e-07
+1 1 0 0 0 20 20 12 0.000112938462633636
+1 1 0 0 0 20 20 14 0.00485368397550732
+1 1 0 0 0 20 20 16 -0.0670042756634817
+1 1 0 0 0 20 20 18 -0.281918670454475
+1 1 0 0 0 20 20 20 -0.281918670454475
+1 1 0 0 0 20 20 22 -0.067004275663482
+1 1 0 0 0 20 20 24 0.00485368397550734
+1 1 0 0 0 20 20 26 0.000112938462633636
+1 1 0 0 0 20 20 28 1.70914716385006e-07
+1 1 0 0 0 20 20 30 2.5307011096551e-11
+1 1 0 0 0 20 20 32 3.95859475931408e-16
+1 1 0 0 0 20 20 34 6.68463146460761e-22
+1 1 0 0 0 20 20 36 1.22682689034648e-28
+1 1 0 0 0 20 20 38 0
 
 
 
 # iteration 2
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-2 0 0 0 0 10 10 0 0
-2 0 0 0 0 10 10 1 1.67115915985643e-22
-2 0 0 0 0 10 10 2 9.89655738758154e-17
-2 0 0 0 0 10 10 3 6.32717018479805e-12
-2 0 0 0 0 10 10 4 4.27553578129613e-08
-2 0 0 0 0 10 10 5 2.84145841284519e-05
-2 0 0 0 0 10 10 6 0.00133135677107058
-2 0 0 0 0 10 10 7 -0.0123105937045863
-2 0 0 0 0 10 10 8 -0.191827773445984
-2 0 0 0 0 10 10 9 -0.838254139769044
-2 0 0 0 0 10 10 10 -0.838254139769044
-2 0 0 0 0 10 10 11 -0.191827773445984
-2 0 0 0 0 10 10 12 -0.0123105937045864
-2 0 0 0 0 10 10 13 0.00133135677107059
-2 0 0 0 0 10 10 14 2.84145841284521e-05
-2 0 0 0 0 10 10 15 4.27553578129617e-08
-2 0 0 0 0 10 10 16 6.32717018479812e-12
-2 0 0 0 0 10 10 17 9.89655738758169e-17
-2 0 0 0 0 10 10 18 1.67115915985646e-22
-2 0 0 0 0 10 10 19 0
+2 1 0 0 0 20 20 0 0
+2 1 0 0 0 20 20 2 1.67115915985643e-22
+2 1 0 0 0 20 20 4 9.89655738758154e-17
+2 1 0 0 0 20 20 6 6.32717018479805e-12
+2 1 0 0 0 20 20 8 4.27553578129613e-08
+2 1 0 0 0 20 20 10 2.84145841284519e-05
+2 1 0 0 0 20 20 12 0.00133135677107058
+2 1 0 0 0 20 20 14 -0.0123105937045863
+2 1 0 0 0 20 20 16 -0.191827773445984
+2 1 0 0 0 20 20 18 -0.838254139769044
+2 1 0 0 0 20 20 20 -0.838254139769044
+2 1 0 0 0 20 20 22 -0.191827773445984
+2 1 0 0 0 20 20 24 -0.0123105937045864
+2 1 0 0 0 20 20 26 0.00133135677107059
+2 1 0 0 0 20 20 28 2.84145841284521e-05
+2 1 0 0 0 20 20 30 4.27553578129617e-08
+2 1 0 0 0 20 20 32 6.32717018479812e-12
+2 1 0 0 0 20 20 34 9.89655738758169e-17
+2 1 0 0 0 20 20 36 1.67115915985646e-22
+2 1 0 0 0 20 20 38 0
 
 
 
 # iteration 3
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-3 0 0 0 0 10 10 0 0
-3 0 0 0 0 10 10 1 2.47415696923374e-17
-3 0 0 0 0 10 10 2 1.58189689968305e-12
-3 0 0 0 0 10 10 3 1.06955096189697e-08
-3 0 0 0 0 10 10 4 7.14866962467265e-06
-3 0 0 0 0 10 10 5 0.000362543700949426
-3 0 0 0 0 10 10 6 -0.00180281581401197
-3 0 0 0 0 10 10 7 -0.0661355403874472
-3 0 0 0 0 10 10 8 -0.363219448163234
-3 0 0 0 0 10 10 9 -0.909769834341317
-3 0 0 0 0 10 10 10 -0.909769834341318
-3 0 0 0 0 10 10 11 -0.363219448163234
-3 0 0 0 0 10 10 12 -0.0661355403874474
-3 0 0 0 0 10 10 13 -0.00180281581401198
-3 0 0 0 0 10 10 14 0.000362543700949427
-3 0 0 0 0 10 10 15 7.14866962467269e-06
-3 0 0 0 0 10 10 16 1.06955096189698e-08
-3 0 0 0 0 10 10 17 1.58189689968307e-12
-3 0 0 0 0 10 10 18 2.47415696923378e-17
-3 0 0 0 0 10 10 19 0
+3 1 0 0 0 20 20 0 0
+3 1 0 0 0 20 20 2 2.47415696923374e-17
+3 1 0 0 0 20 20 4 1.58189689968305e-12
+3 1 0 0 0 20 20 6 1.06955096189697e-08
+3 1 0 0 0 20 20 8 7.14866962467265e-06
+3 1 0 0 0 20 20 10 0.000362543700949426
+3 1 0 0 0 20 20 12 -0.00180281581401197
+3 1 0 0 0 20 20 14 -0.0661355403874472
+3 1 0 0 0 20 20 16 -0.363219448163234
+3 1 0 0 0 20 20 18 -0.909769834341317
+3 1 0 0 0 20 20 20 -0.909769834341318
+3 1 0 0 0 20 20 22 -0.363219448163234
+3 1 0 0 0 20 20 24 -0.0661355403874474
+3 1 0 0 0 20 20 26 -0.00180281581401198
+3 1 0 0 0 20 20 28 0.000362543700949427
+3 1 0 0 0 20 20 30 7.14866962467269e-06
+3 1 0 0 0 20 20 32 1.06955096189698e-08
+3 1 0 0 0 20 20 34 1.58189689968307e-12
+3 1 0 0 0 20 20 36 2.47415696923378e-17
+3 1 0 0 0 20 20 38 0
 
 
 
 # iteration 4
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-4 0 0 0 0 10 10 0 0
-4 0 0 0 0 10 10 1 3.95500313485421e-13
-4 0 0 0 0 10 10 2 2.67554506710229e-09
-4 0 0 0 0 10 10 3 1.79843103280261e-06
-4 0 0 0 0 10 10 4 9.81141807427286e-05
-4 0 0 0 0 10 10 5 -9.77890293755283e-05
-4 0 0 0 0 10 10 6 -0.0197154488008626
-4 0 0 0 0 10 10 7 -0.154257957160012
-4 0 0 0 0 10 10 8 -0.477053040993001
-4 0 0 0 0 10 10 9 -0.571372739280028
-4 0 0 0 0 10 10 10 -0.571372739280028
-4 0 0 0 0 10 10 11 -0.477053040993001
-4 0 0 0 0 10 10 12 -0.154257957160012
-4 0 0 0 0 10 10 13 -0.0197154488008626
-4 0 0 0 0 10 10 14 -9.77890293755288e-05
-4 0 0 0 0 10 10 15 9.81141807427289e-05
-4 0 0 0 0 10 10 16 1.79843103280262e-06
-4 0 0 0 0 10 10 17 2.67554506710232e-09
-4 0 0 0 0 10 10 18 3.95500313485425e-13
-4 0 0 0 0 10 10 19 0
+4 1 0 0 0 20 20 0 0
+4 1 0 0 0 20 20 2 3.95500313485421e-13
+4 1 0 0 0 20 20 4 2.67554506710229e-09
+4 1 0 0 0 20 20 6 1.79843103280261e-06
+4 1 0 0 0 20 20 8 9.81141807427286e-05
+4 1 0 0 0 20 20 10 -9.77890293755283e-05
+4 1 0 0 0 20 20 12 -0.0197154488008626
+4 1 0 0 0 20 20 14 -0.154257957160012
+4 1 0 0 0 20 20 16 -0.477053040993001
+4 1 0 0 0 20 20 18 -0.571372739280028
+4 1 0 0 0 20 20 20 -0.571372739280028
+4 1 0 0 0 20 20 22 -0.477053040993001
+4 1 0 0 0 20 20 24 -0.154257957160012
+4 1 0 0 0 20 20 26 -0.0197154488008626
+4 1 0 0 0 20 20 28 -9.77890293755288e-05
+4 1 0 0 0 20 20 30 9.81141807427289e-05
+4 1 0 0 0 20 20 32 1.79843103280262e-06
+4 1 0 0 0 20 20 34 2.67554506710232e-09
+4 1 0 0 0 20 20 36 3.95500313485425e-13
+4 1 0 0 0 20 20 38 0
 
 
 
 # iteration 5
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-5 0 0 0 0 10 10 0 0
-5 0 0 0 0 10 10 1 6.693032110513e-10
-5 0 0 0 0 10 10 2 4.52425597130395e-07
-5 0 0 0 0 10 10 3 2.64111506026688e-05
-5 0 0 0 0 10 10 4 7.239670253815e-05
-5 0 0 0 0 10 10 5 -0.00534199985172874
-5 0 0 0 0 10 10 6 -0.0591799530595224
-5 0 0 0 0 10 10 7 -0.242393755395384
-5 0 0 0 0 10 10 8 -0.416512311171182
-5 0 0 0 0 10 10 9 -0.162235870503469
-5 0 0 0 0 10 10 10 -0.162235870503468
-5 0 0 0 0 10 10 11 -0.416512311171182
-5 0 0 0 0 10 10 12 -0.242393755395385
-5 0 0 0 0 10 10 13 -0.0591799530595225
-5 0 0 0 0 10 10 14 -0.00534199985172875
-5 0 0 0 0 10 10 15 7.23967025381502e-05
-5 0 0 0 0 10 10 16 2.64111506026689e-05
-5 0 0 0 0 10 10 17 4.52425597130398e-07
-5 0 0 0 0 10 10 18 6.69303211051306e-10
-5 0 0 0 0 10 10 19 0
+5 1 0 0 0 20 20 0 0
+5 1 0 0 0 20 20 2 6.693032110513e-10
+5 1 0 0 0 20 20 4 4.52425597130395e-07
+5 1 0 0 0 20 20 6 2.64111506026688e-05
+5 1 0 0 0 20 20 8 7.239670253815e-05
+5 1 0 0 0 20 20 10 -0.00534199985172874
+5 1 0 0 0 20 20 12 -0.0591799530595224
+5 1 0 0 0 20 20 14 -0.242393755395384
+5 1 0 0 0 20 20 16 -0.416512311171182
+5 1 0 0 0 20 20 18 -0.162235870503469
+5 1 0 0 0 20 20 20 -0.162235870503468
+5 1 0 0 0 20 20 22 -0.416512311171182
+5 1 0 0 0 20 20 24 -0.242393755395385
+5 1 0 0 0 20 20 26 -0.0591799530595225
+5 1 0 0 0 20 20 28 -0.00534199985172875
+5 1 0 0 0 20 20 30 7.23967025381502e-05
+5 1 0 0 0 20 20 32 2.64111506026689e-05
+5 1 0 0 0 20 20 34 4.52425597130398e-07
+5 1 0 0 0 20 20 36 6.69303211051306e-10
+5 1 0 0 0 20 20 38 0
 
 
 
 # iteration 6
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-6 0 0 0 0 10 10 0 0
-6 0 0 0 0 10 10 1 1.13811317397662e-07
-6 0 0 0 0 10 10 2 7.07670174667689e-06
-6 0 0 0 0 10 10 3 4.44798688829561e-05
-6 0 0 0 0 10 10 4 -0.00133276732717108
-6 0 0 0 0 10 10 5 -0.0207006388099142
-6 0 0 0 0 10 10 6 -0.113482596872543
-6 0 0 0 0 10 10 7 -0.274751275149732
-6 0 0 0 0 10 10 8 -0.217136795981632
-6 0 0 0 0 10 10 9 0.0561936677723053
-6 0 0 0 0 10 10 10 0.0561936677723056
-6 0 0 0 0 10 10 11 -0.217136795981632
-6 0 0 0 0 10 10 12 -0.274751275149732
-6 0 0 0 0 10 10 13 -0.113482596872543
-6 0 0 0 0 10 10 14 -0.0207006388099143
-6 0 0 0 0 10 10 15 -0.00133276732717108
-6 0 0 0 0 10 10 16 4.44798688829562e-05
-6 0 0 0 0 10 10 17 7.07670174667692e-06
-6 0 0 0 0 10 10 18 1.13811317397662e-07
-6 0 0 0 0 10 10 19 0
+6 1 0 0 0 20 20 0 0
+6 1 0 0 0 20 20 2 1.13811317397662e-07
+6 1 0 0 0 20 20 4 7.07670174667689e-06
+6 1 0 0 0 20 20 6 4.44798688829561e-05
+6 1 0 0 0 20 20 8 -0.00133276732717108
+6 1 0 0 0 20 20 10 -0.0207006388099142
+6 1 0 0 0 20 20 12 -0.113482596872543
+6 1 0 0 0 20 20 14 -0.274751275149732
+6 1 0 0 0 20 20 16 -0.217136795981632
+6 1 0 0 0 20 20 18 0.0561936677723053
+6 1 0 0 0 20 20 20 0.0561936677723056
+6 1 0 0 0 20 20 22 -0.217136795981632
+6 1 0 0 0 20 20 24 -0.274751275149732
+6 1 0 0 0 20 20 26 -0.113482596872543
+6 1 0 0 0 20 20 28 -0.0207006388099143
+6 1 0 0 0 20 20 30 -0.00133276732717108
+6 1 0 0 0 20 20 32 4.44798688829562e-05
+6 1 0 0 0 20 20 34 7.07670174667692e-06
+6 1 0 0 0 20 20 36 1.13811317397662e-07
+6 1 0 0 0 20 20 38 0
 
 
 
 # iteration 7
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-7 0 0 0 0 10 10 0 0
-7 0 0 0 0 10 10 1 1.88842835173522e-06
-7 0 0 0 0 10 10 2 1.8261543339058e-05
-7 0 0 0 0 10 10 3 -0.000303370910566002
-7 0 0 0 0 10 10 4 -0.0067173106912752
-7 0 0 0 0 10 10 5 -0.0483316756133807
-7 0 0 0 0 10 10 6 -0.160680197396579
-7 0 0 0 0 10 10 7 -0.225795013580303
-7 0 0 0 0 10 10 8 -0.0302663611493069
-7 0 0 0 0 10 10 9 0.0696253582326263
-7 0 0 0 0 10 10 10 0.0696253582326263
-7 0 0 0 0 10 10 11 -0.0302663611493066
-7 0 0 0 0 10 10 12 -0.225795013580303
-7 0 0 0 0 10 10 13 -0.160680197396579
-7 0 0 0 0 10 10 14 -0.0483316756133808
-7 0 0 0 0 10 10 15 -0.00671731069127522
-7 0 0 0 0 10 10 16 -0.000303370910566003
-7 0 0 0 0 10 10 17 1.8261543339058e-05
-7 0 0 0 0 10 10 18 1.88842835173522e-06
-7 0 0 0 0 10 10 19 0
+7 1 0 0 0 20 20 0 0
+7 1 0 0 0 20 20 2 1.88842835173522e-06
+7 1 0 0 0 20 20 4 1.8261543339058e-05
+7 1 0 0 0 20 20 6 -0.000303370910566002
+7 1 0 0 0 20 20 8 -0.0067173106912752
+7 1 0 0 0 20 20 10 -0.0483316756133807
+7 1 0 0 0 20 20 12 -0.160680197396579
+7 1 0 0 0 20 20 14 -0.225795013580303
+7 1 0 0 0 20 20 16 -0.0302663611493069
+7 1 0 0 0 20 20 18 0.0696253582326263
+7 1 0 0 0 20 20 20 0.0696253582326263
+7 1 0 0 0 20 20 22 -0.0302663611493066
+7 1 0 0 0 20 20 24 -0.225795013580303
+7 1 0 0 0 20 20 26 -0.160680197396579
+7 1 0 0 0 20 20 28 -0.0483316756133808
+7 1 0 0 0 20 20 30 -0.00671731069127522
+7 1 0 0 0 20 20 32 -0.000303370910566003
+7 1 0 0 0 20 20 34 1.8261543339058e-05
+7 1 0 0 0 20 20 36 1.88842835173522e-06
+7 1 0 0 0 20 20 38 0
 
 
 
 # iteration 8
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-8 0 0 0 0 10 10 0 0
-8 0 0 0 0 10 10 1 6.48117414563857e-06
-8 0 0 0 0 10 10 2 -6.04396714485247e-05
-8 0 0 0 0 10 10 3 -0.00204743656355179
-8 0 0 0 0 10 10 4 -0.0189160596760373
-8 0 0 0 0 10 10 5 -0.08332429364187
-8 0 0 0 0 10 10 6 -0.177263752132348
-8 0 0 0 0 10 10 7 -0.129192651620611
-8 0 0 0 0 10 10 8 0.0443520012015004
-8 0 0 0 0 10 10 9 0.0081382591564974
-8 0 0 0 0 10 10 10 0.00813825915649736
-8 0 0 0 0 10 10 11 0.0443520012015005
-8 0 0 0 0 10 10 12 -0.12919265162061
-8 0 0 0 0 10 10 13 -0.177263752132348
-8 0 0 0 0 10 10 14 -0.0833242936418701
-8 0 0 0 0 10 10 15 -0.0189160596760373
-8 0 0 0 0 10 10 16 -0.0020474365635518
-8 0 0 0 0 10 10 17 -6.04396714485248e-05
-8 0 0 0 0 10 10 18 6.48117414563859e-06
-8 0 0 0 0 10 10 19 0
+8 1 0 0 0 20 20 0 0
+8 1 0 0 0 20 20 2 6.48117414563857e-06
+8 1 0 0 0 20 20 4 -6.04396714485247e-05
+8 1 0 0 0 20 20 6 -0.00204743656355179
+8 1 0 0 0 20 20 8 -0.0189160596760373
+8 1 0 0 0 20 20 10 -0.08332429364187
+8 1 0 0 0 20 20 12 -0.177263752132348
+8 1 0 0 0 20 20 14 -0.129192651620611
+8 1 0 0 0 20 20 16 0.0443520012015004
+8 1 0 0 0 20 20 18 0.0081382591564974
+8 1 0 0 0 20 20 20 0.00813825915649736
+8 1 0 0 0 20 20 22 0.0443520012015005
+8 1 0 0 0 20 20 24 -0.12919265162061
+8 1 0 0 0 20 20 26 -0.177263752132348
+8 1 0 0 0 20 20 28 -0.0833242936418701
+8 1 0 0 0 20 20 30 -0.0189160596760373
+8 1 0 0 0 20 20 32 -0.0020474365635518
+8 1 0 0 0 20 20 34 -6.04396714485248e-05
+8 1 0 0 0 20 20 36 6.48117414563859e-06
+8 1 0 0 0 20 20 38 0
 
 
 
 # iteration 9
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-9 0 0 0 0 10 10 0 0
-9 0 0 0 0 10 10 1 -9.23817882069273e-06
-9 0 0 0 0 10 10 2 -0.000590230726689046
-9 0 0 0 0 10 10 3 -0.00689678190687759
-9 0 0 0 0 10 10 4 -0.0389052231484413
-9 0 0 0 0 10 10 5 -0.114612889871635
-9 0 0 0 0 10 10 6 -0.15580435440971
-9 0 0 0 0 10 10 7 -0.0417427533393863
-9 0 0 0 0 10 10 8 0.0295094995247097
-9 0 0 0 0 10 10 9 -0.0261885333858791
-9 0 0 0 0 10 10 10 -0.0261885333858792
-9 0 0 0 0 10 10 11 0.0295094995247097
-9 0 0 0 0 10 10 12 -0.0417427533393862
-9 0 0 0 0 10 10 13 -0.15580435440971
-9 0 0 0 0 10 10 14 -0.114612889871635
-9 0 0 0 0 10 10 15 -0.0389052231484414
-9 0 0 0 0 10 10 16 -0.00689678190687761
-9 0 0 0 0 10 10 17 -0.000590230726689047
-9 0 0 0 0 10 10 18 -9.23817882069273e-06
-9 0 0 0 0 10 10 19 0
+9 1 0 0 0 20 20 0 0
+9 1 0 0 0 20 20 2 -9.23817882069273e-06
+9 1 0 0 0 20 20 4 -0.000590230726689046
+9 1 0 0 0 20 20 6 -0.00689678190687759
+9 1 0 0 0 20 20 8 -0.0389052231484413
+9 1 0 0 0 20 20 10 -0.114612889871635
+9 1 0 0 0 20 20 12 -0.15580435440971
+9 1 0 0 0 20 20 14 -0.0417427533393863
+9 1 0 0 0 20 20 16 0.0295094995247097
+9 1 0 0 0 20 20 18 -0.0261885333858791
+9 1 0 0 0 20 20 20 -0.0261885333858792
+9 1 0 0 0 20 20 22 0.0295094995247097
+9 1 0 0 0 20 20 24 -0.0417427533393862
+9 1 0 0 0 20 20 26 -0.15580435440971
+9 1 0 0 0 20 20 28 -0.114612889871635
+9 1 0 0 0 20 20 30 -0.0389052231484414
+9 1 0 0 0 20 20 32 -0.00689678190687761
+9 1 0 0 0 20 20 34 -0.000590230726689047
+9 1 0 0 0 20 20 36 -9.23817882069273e-06
+9 1 0 0 0 20 20 38 0
 
 
 
 # iteration 10
-# time level 0   refinement level 0   component 0   multigrid level 0
+# time level 1   refinement level 0   component 0   multigrid level 0
 # column format: it tl rl c ml x y z data
-10 0 0 0 0 10 10 0 0
-10 0 0 0 0 10 10 1 -0.000161871977848914
-10 0 0 0 0 10 10 2 -0.00236947911491751
-10 0 0 0 0 10 10 3 -0.0166505589685362
-10 0 0 0 0 10 10 4 -0.064163184805119
-10 0 0 0 0 10 10 5 -0.130411533364738
-10 0 0 0 0 10 10 6 -0.10750594086851
-10 0 0 0 0 10 10 7 0.00721116806559549
-10 0 0 0 0 10 10 8 -0.00221632135061639
-10 0 0 0 0 10 10 9 -0.0187418012453139
-10 0 0 0 0 10 10 10 -0.018741801245314
-10 0 0 0 0 10 10 11 -0.00221632135061639
-10 0 0 0 0 10 10 12 0.00721116806559558
-10 0 0 0 0 10 10 13 -0.10750594086851
-10 0 0 0 0 10 10 14 -0.130411533364738
-10 0 0 0 0 10 10 15 -0.0641631848051191
-10 0 0 0 0 10 10 16 -0.0166505589685362
-10 0 0 0 0 10 10 17 -0.00236947911491752
-10 0 0 0 0 10 10 18 -0.000161871977848915
-10 0 0 0 0 10 10 19 0
+10 1 0 0 0 20 20 0 0
+10 1 0 0 0 20 20 2 -0.000161871977848914
+10 1 0 0 0 20 20 4 -0.00236947911491751
+10 1 0 0 0 20 20 6 -0.0166505589685362
+10 1 0 0 0 20 20 8 -0.064163184805119
+10 1 0 0 0 20 20 10 -0.130411533364738
+10 1 0 0 0 20 20 12 -0.10750594086851
+10 1 0 0 0 20 20 14 0.00721116806559549
+10 1 0 0 0 20 20 16 -0.00221632135061639
+10 1 0 0 0 20 20 18 -0.0187418012453139
+10 1 0 0 0 20 20 20 -0.018741801245314
+10 1 0 0 0 20 20 22 -0.00221632135061639
+10 1 0 0 0 20 20 24 0.00721116806559558
+10 1 0 0 0 20 20 26 -0.10750594086851
+10 1 0 0 0 20 20 28 -0.130411533364738
+10 1 0 0 0 20 20 30 -0.0641631848051191
+10 1 0 0 0 20 20 32 -0.0166505589685362
+10 1 0 0 0 20 20 34 -0.00236947911491752
+10 1 0 0 0 20 20 36 -0.000161871977848915
+10 1 0 0 0 20 20 38 0