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diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.xl
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+# 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
+
+