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diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.xl
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@@ -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
+
+