[SCM] Gerris Flow Solver branch, upstream, updated. b3aa46814a06c9cb2912790b23916ffb44f1f203

Stephane Popinet s.popinet at niwa.co.nz
Fri May 15 02:52:01 UTC 2009


The following commit has been merged in the upstream branch:
commit 9ba946f3c77b6807a7ac8d9d1ef91ea2bd035e18
Author: Stephane Popinet <s.popinet at niwa.co.nz>
Date:   Thu Jun 16 14:00:25 2005 +1000

    Added simple periodic test case
    
    darcs-hash:20050616040025-fbd8f-dca9f197aa50dabd7f447adc45a95e61e453794b.gz

diff --git a/test/euler/Makefile.am b/test/euler/Makefile.am
index a02172e..fb909da 100644
--- a/test/euler/Makefile.am
+++ b/test/euler/Makefile.am
@@ -1,7 +1,8 @@
 ## Process this file with automake to produce Makefile.in
 
 TESTDIRS = \
-	reynolds
+	reynolds \
+	periodic
 
 EXTRA_DIST = \
 	template.tex \
diff --git a/test/euler/periodic/periodic.gfs b/test/euler/periodic/periodic.gfs
new file mode 100644
index 0000000..464db84
--- /dev/null
+++ b/test/euler/periodic/periodic.gfs
@@ -0,0 +1,64 @@
+# Title: Convergence for a simple periodic problem
+#
+# Description:
+#
+# This is one of the test cases presented in Popinet \cite{popinet2003}.
+# Following Minion \cite{minion96} and Almgren et al. \cite{almgren98},
+# this convergence test illustrates the second-order
+# accuracy of Gerris for flows without solid boundaries. This
+# problem uses a square unit domain with periodic boundary conditions in
+# both directions. The initial conditions are taken as
+# \begin{eqnarray*}
+# u(x,y) &=& 1-2\cos(2\pi x)\sin(2\pi y), \\
+# v(x,y) &=& 1+2\sin(2\pi x)\cos(2\pi y). 
+# \end{eqnarray*}
+# The exact solution of the Euler equations for these initial conditions
+# is
+# \begin{eqnarray*}
+# u(x,y,t) &=& 1-2\cos(2\pi(x-t))\sin(2\pi(y-t)), \\
+# v(x,y,t) &=& 1+2\sin(2\pi(x-t))\cos(2\pi(y-t)), \\
+# p(x,y,t) &=& -\cos(4\pi(x-t))-\cos(4\pi(y-t)).
+# \end{eqnarray*}
+# As in \cite{almgren98} nine runs are performed on grids with $L=5,6$
+# and $7$ levels of refinement (labelled ``uniform'') and with one
+# (labelled $r=1$) or two (labelled $r=2$) additional levels added only
+# within the square defined by the points $(-0.25,-0.25)$ and
+# $(0.25,0.25)$. The length of the run for each case is 0.5, the CFL number is
+# 0.75. For each run both the $L_2$ and $L_\infty$ norms of the error in
+# the $x$-component of the velocity is computed. Table \ref{minion1}
+# gives the errors and order of convergence obtained.
+#
+# Close to second-order convergence is obtained (asymptotically in
+# $L$) for the $L_2$ and $L_\infty$ norms. The values
+# obtained are comparable to that in \cite{minion96,almgren98}.
+# \begin{table}
+# \begin{center}
+# \input{minion1.tex}
+# \end{center}
+# \caption{Errors and convergence orders in the $x$-component of the velocity
+# for a simple periodic problem. The reference solution values are given in blue.}
+# \label{minion1}
+# \end{table}
+#
+# Author: St\'ephane Popinet
+# Command: sh periodic.sh periodic.gfs
+# Version: 0.6.4
+# Required files: periodic.sh r0.ref r1.ref r2.ref
+# Running time: 3 minutes
+# Generated files: minion1.tex
+#
+1 2 GfsSimulation GfsBox GfsGEdge {} {
+  Time { end = 0.5 }
+  AdvectionParams { cfl = 0.75 }
+  Refine (x < -0.25 || x > 0.25 || y < -0.25 || y > 0.25 ? LEVEL : LEVEL + BOX)
+  Init {} {
+    U = (1. - 2.*cos (2.*M_PI*x)*sin (2.*M_PI*y))
+    V = (1. + 2.*sin (2.*M_PI*x)*cos (2.*M_PI*y))
+  }
+  OutputErrorNorm { start = end } stdout { v = U } {
+    s = (1. - 2.*cos (2.*M_PI*(x - t))*sin (2.*M_PI*(y - t)))
+  }
+}
+GfsBox {}
+1 1 right
+1 1 top
diff --git a/test/euler/periodic/periodic.sh b/test/euler/periodic/periodic.sh
new file mode 100644
index 0000000..e73d07c
--- /dev/null
+++ b/test/euler/periodic/periodic.sh
@@ -0,0 +1,70 @@
+if ! $donotrun; then
+    rm -f r0 r1 r2
+
+    for r in 0 1 2; do
+	for level in 5 6 7; do
+	    if sed "s/LEVEL/$level/g" < $1 | \
+		sed "s/BOX/$r/g" | \
+		gerris2D - | \
+		awk -v level=$level '{
+                  print level " " $7 " " $9
+                }' >> r$r; then :
+	    else
+		exit 1
+	    fi
+	done
+    done
+fi
+
+if cat <<EOF | python > minion1.tex; then :
+from check import *
+from sys import *
+from math import *
+
+print r"""\begin{tabular}{|c|c|c|c|c|c|}\hline
+        & \multicolumn{5}{c|}{\$L_2\$} \\\ \hline
+        & \$L=5\$   & \$O_2\$ & \$L=6\$    & \$O_2\$ & \$L=7\$  \\\ \hline"""
+
+def order(r,rr):
+   for i in range(0,len(r.l)-1):
+     y0,y1 = r.l[i][1],r.l[i+1][1]
+     yr0,yr1 = rr.l[i][1],rr.l[i+1][1]
+     print '& %.2e / {\color{blue}%.2e} & %4.2f / {\color{blue}%4.2f}' % \
+       (y0, yr0, log(y0/y1)/log(2.), log(yr0/yr1)/log(2.)),
+   print '& %.2e / {\color{blue}%.2e}' % (r.l[i+1][1],rr.l[i+1][1]), r'\\\ \hline'
+
+print 'Uniform',
+order(Curve('r0',1,2),Curve('r0.ref',1,2))
+print '\$r=1\$',
+order(Curve('r1',1,2),Curve('r1.ref',1,2))
+print '\$r=2\$',
+order(Curve('r2',1,2),Curve('r2.ref',1,2))
+
+print r"""\hline
+        & \multicolumn{5}{c|}{\$L_\infty\$} \\\ \hline
+        & \$L=5\$   & \$O_\infty\$  & \$L=6\$   & \$O_\infty\$  & \$L=7\$ \\\ \hline"""
+
+print 'Uniform',
+order(Curve('r0',1,3),Curve('r0.ref',1,3))
+print '\$r=1\$',
+order(Curve('r1',1,3),Curve('r1.ref',1,3))
+print '\$r=2\$',
+order(Curve('r2',1,3),Curve('r2.ref',1,3))
+
+print r'\end{tabular}'
+EOF
+else
+    exit 1
+fi
+
+if cat <<EOF | python ; then :
+from check import *
+from sys import *
+for r in ['r0','r1','r2']:
+  if (Curve(r,1,2) - Curve(r+'.ref',1,2)).max() > 1e-6 or\
+     (Curve(r,1,3) - Curve(r+'.ref',1,3)).max() > 1e-6:
+    exit(1)
+EOF
+else
+   exit 1
+fi
diff --git a/test/euler/periodic/r0.ref b/test/euler/periodic/r0.ref
new file mode 100644
index 0000000..e3d53a4
--- /dev/null
+++ b/test/euler/periodic/r0.ref
@@ -0,0 +1,3 @@
+5 8.115e-03 1.943e-02
+6 1.136e-03 3.033e-03
+7 2.022e-04 5.112e-04
diff --git a/test/euler/periodic/r1.ref b/test/euler/periodic/r1.ref
new file mode 100644
index 0000000..54c4e12
--- /dev/null
+++ b/test/euler/periodic/r1.ref
@@ -0,0 +1,3 @@
+5 9.040e-03 2.359e-02
+6 1.800e-03 4.952e-03
+7 4.066e-04 1.164e-03
diff --git a/test/euler/periodic/r2.ref b/test/euler/periodic/r2.ref
new file mode 100644
index 0000000..91c7dc1
--- /dev/null
+++ b/test/euler/periodic/r2.ref
@@ -0,0 +1,3 @@
+5 1.045e-02 2.796e-02
+6 2.476e-03 6.440e-03
+7 6.179e-04 1.630e-03
diff --git a/test/euler/reference2D/periodic.xmgr b/test/euler/reference2D/periodic.xmgr
deleted file mode 100644
index a7b41df..0000000
--- a/test/euler/reference2D/periodic.xmgr
+++ /dev/null
@@ -1,1345 +0,0 @@
-# ACE/gr parameter file
-#
- at version 40102
- at page layout free
- at ps linewidth begin 1
- at ps linewidth increment 2
- at hardcopy device 1
- at description "order.sh"
- at description "1 2 GfsDomain GfsBox GfsGEdge {} {"
- at description " Time { end = 0.5 }"
- at description " Refine 7"
- at description " Init {} {"
- at description "   U = (1. - 2.*cos (2.*M_PI*x)*sin (2.*M_PI*y))"
- at description "   V = (1. + 2.*sin (2.*M_PI*x)*cos (2.*M_PI*y))"
- at description " }"
- at description " OutputErrorNorm { start = end } xstdout { v = U } {"
- at description "   s = (1. - 2.*cos (2.*M_PI*(x - t))*sin (2.*M_PI*(y - t)))"
- at description " }"
- at description "}"
- at description "GfsBox { pid = 0 }"
- at description "1 1 right"
- at description "1 1 top"
- at page 5
- at page inout 5
- at link page off
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- at timestamp def "Tue Jun  4 04:40:48 2002"
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diff --git a/test/euler/reference2D/periodic_convective.xmgr b/test/euler/reference2D/periodic_convective.xmgr
deleted file mode 100644
index 5be83ce..0000000
--- a/test/euler/reference2D/periodic_convective.xmgr
+++ /dev/null
@@ -1,1348 +0,0 @@
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-#
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diff --git a/test/euler/reference2D/periodic_refined1.xmgr b/test/euler/reference2D/periodic_refined1.xmgr
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diff --git a/test/euler/reference2D/periodic_refined1_convective.xmgr b/test/euler/reference2D/periodic_refined1_convective.xmgr
deleted file mode 100644
index 3965298..0000000
--- a/test/euler/reference2D/periodic_refined1_convective.xmgr
+++ /dev/null
@@ -1,1346 +0,0 @@
-# ACE/gr parameter file
-#
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diff --git a/test/euler/reference2D/periodic_refined2.xmgr b/test/euler/reference2D/periodic_refined2.xmgr
deleted file mode 100644
index af58bc5..0000000
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- at TYPE xy
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- at TYPE xy
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diff --git a/test/euler/reference2D/periodic_refined2_convective.xmgr b/test/euler/reference2D/periodic_refined2_convective.xmgr
deleted file mode 100644
index fef3238..0000000
--- a/test/euler/reference2D/periodic_refined2_convective.xmgr
+++ /dev/null
@@ -1,1346 +0,0 @@
-# ACE/gr parameter file
-#
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- at TYPE xy
-               3         0.218991
-               4        0.0353425
-               5       0.00536569
-               6        0.0010787
-               7      0.000288135
-&
- at TARGET S1
- at TYPE xy
-               3         0.259679
-               4        0.0408976
-               5       0.00630925
-               6       0.00133473
-               7      0.000353475
-&
- at TARGET S2
- at TYPE xy
-               3           0.5534
-               4         0.103216
-               5         0.022952
-               6       0.00516743
-               7        0.0012817
-&
- at WITH G1
- at G1 ON
- at TARGET S0
- at TYPE xy
-               4          2.63139
-               5          2.71957
-               6          2.31447
-               7          1.90448
-&
- at TARGET S1
- at TYPE xy
-               4          2.66664
-               5          2.69648
-               6          2.24092
-               7          1.91687
-&
- at TARGET S2
- at TYPE xy
-               4          2.42265
-               5          2.16898
-               6           2.1511
-               7          2.01139
-&
- at WITH G2
- at G2 ON
- at WITH G3
- at G3 ON
diff --git a/test/euler/reference2D/time.xmgr b/test/euler/reference2D/time.xmgr
deleted file mode 100644
index 96c2343..0000000
--- a/test/euler/reference2D/time.xmgr
+++ /dev/null
@@ -1,8584 +0,0 @@
-# ACE/gr parameter file
-#
- at version 40102
- at page layout free
- at ps linewidth begin 1
- at ps linewidth increment 2
- at hardcopy device 1
- at description "time.sh"
- at description "1 2 GfsDomain GfsBox GfsGEdge {} {"
- at description " GModule periodic_flow"
- at description " GModule testing"
- at description " GfsTime { end = 2 }"
- at description " GfsRefine 7"
- at description " GfsInitNonStationary {}"
- at description " GfsOutputTime { istep = 1 } stdout"
- at description " GfsOutputScalarNorm { istep = 1 } stdout { v = Divergence }"
- at description " GfsOutputScalarNorm { istep = 1 } stdout { v = Vorticity }"
- at description " GfsOutputNonStationaryError { istep = 1 } stdout"
- at description "}"
- at description "GfsBox { pid = 0 }"
- at description "1 1 right"
- at description "1 1 top"
- at page 5
- at page inout 5
- at link page off
- at default linestyle 1
- at default linewidth 1
- at default color 1
- at default char size 1.000000
- at default font 4
- at default font source 0
- at default symbol size 1.000000
- at timestamp off
- at timestamp 0.03, 0.03
- at timestamp linewidth 1
- at timestamp color 1
- at timestamp rot 0
- at timestamp font 4
- at timestamp char size 1.000000
- at timestamp def "Tue Jun  4 05:01:28 2002"
- at with g0
- at g0 on
- at g0 label off
- at g0 hidden false
- at g0 type xy
- at g0 autoscale type AUTO
- at g0 fixedpoint off
- at g0 fixedpoint type 0
- at g0 fixedpoint xy 0.000000, 0.000000
- at g0 fixedpoint format general general
- at g0 fixedpoint prec 6, 6
-@    world xmin 0
-@    world xmax 2
-@    world ymin 0
-@    world ymax 0.03
-@    stack world 0, 0, 0, 0 tick 0, 0, 0, 0
-@    view xmin 0.100000
-@    view xmax 0.475000
-@    view ymin 0.100000
-@    view ymax 0.475000
-@    title ""
-@    title font 4
-@    title size 1.500000
-@    title color 1
-@    title linewidth 1
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-@    subtitle font 4
-@    subtitle size 1.000000
-@    subtitle color 1
-@    subtitle linewidth 1
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-@    s0 symbol size 0.340000
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-@    s0 symbol linestyle 1
-@    s0 symbol center false
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-@    s0 skip 0
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-@    s0 errorbar length 1.000000
-@    s0 errorbar linewidth 1
-@    s0 errorbar linestyle 1
-@    s0 errorbar riser on
-@    s0 errorbar riser linewidth 1
-@    s0 errorbar riser linestyle 1
-@    s0 xyz 0.000000, 0.000000
-@    s0 comment "/tmp/toto"
-@    s1 symbol 0
-@    s1 symbol size 1.000000
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-@    s1 symbol linewidth 1
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-@    s1 errorbar riser on
-@    s1 errorbar riser linewidth 1
-@    s1 errorbar riser linestyle 1
-@    s1 xyz 0.000000, 0.000000
-@    s1 comment "reference/time.xmgr"
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-@    s2 symbol size 1.000000
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-@    s2 errorbar length 1.000000
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-@    s2 errorbar riser on
-@    s2 errorbar riser linewidth 1
-@    s2 errorbar riser linestyle 1
-@    s2 xyz 0.000000, 0.000000
-@    s2 comment "reference/time.xmgr"
-@    xaxis  tick on
-@    xaxis  tick major 0.5
-@    xaxis  tick minor 0.25
-@    xaxis  tick offsetx 0.000000
-@    xaxis  tick offsety 0.000000
-@    xaxis  label "Time"
-@    xaxis  label layout para
-@    xaxis  label place auto
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-@    xaxis  label color 1
-@    xaxis  label linewidth 1
-@    xaxis  ticklabel on
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-@    xaxis  ticklabel format general
-@    xaxis  ticklabel append ""
-@    xaxis  ticklabel prepend ""
-@    xaxis  ticklabel layout horizontal
-@    xaxis  ticklabel place on ticks
-@    xaxis  ticklabel skip 0
-@    xaxis  ticklabel stagger 0
-@    xaxis  ticklabel op bottom
-@    xaxis  ticklabel sign normal
-@    xaxis  ticklabel start type auto
-@    xaxis  ticklabel start 0.000000
-@    xaxis  ticklabel stop type auto
-@    xaxis  ticklabel stop 0.000000
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-@    xaxis  ticklabel font 4
-@    xaxis  ticklabel color 1
-@    xaxis  ticklabel linewidth 1
-@    xaxis  tick major on
-@    xaxis  tick minor on
-@    xaxis  tick default 6
-@    xaxis  tick in
-@    xaxis  tick major color 1
-@    xaxis  tick major linewidth 1
-@    xaxis  tick major linestyle 1
-@    xaxis  tick minor color 1
-@    xaxis  tick minor linewidth 1
-@    xaxis  tick minor linestyle 1
-@    xaxis  tick log off
-@    xaxis  tick size 1.000000
-@    xaxis  tick minor size 0.500000
-@    xaxis  bar off
-@    xaxis  bar color 1
-@    xaxis  bar linestyle 1
-@    xaxis  bar linewidth 1
-@    xaxis  tick major grid off
-@    xaxis  tick minor grid off
-@    xaxis  tick op both
-@    xaxis  tick type auto
-@    xaxis  tick spec 0
-@    yaxis  tick on
-@    yaxis  tick major 0.01
-@    yaxis  tick minor 0.005
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-@    yaxis  tick offsety 0.000000
-@    yaxis  label "Error (L2 norm)"
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-@    yaxis  label color 1
-@    yaxis  label linewidth 1
-@    yaxis  ticklabel on
-@    yaxis  ticklabel type auto
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-@    yaxis  ticklabel format decimal
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-@    yaxis  ticklabel place on ticks
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-@    yaxis  ticklabel stop 0.000000
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-@    yaxis  ticklabel font 4
-@    yaxis  ticklabel color 1
-@    yaxis  ticklabel linewidth 1
-@    yaxis  tick major on
-@    yaxis  tick minor on
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-@    yaxis  tick in
-@    yaxis  tick major color 1
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-@    yaxis  tick major linestyle 3
-@    yaxis  tick minor color 1
-@    yaxis  tick minor linewidth 1
-@    yaxis  tick minor linestyle 1
-@    yaxis  tick log off
-@    yaxis  tick size 1.000000
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-@    yaxis  tick major grid off
-@    yaxis  tick minor grid off
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-@    yaxis  tick type auto
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-@    zeroxaxis  tick on
-@    zeroxaxis  tick major 0.5
-@    zeroxaxis  tick minor 0.25
-@    zeroxaxis  tick offsetx 0.000000
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-@    zeroxaxis  ticklabel prec 5
-@    zeroxaxis  ticklabel format general
-@    zeroxaxis  ticklabel append ""
-@    zeroxaxis  ticklabel prepend ""
-@    zeroxaxis  ticklabel layout horizontal
-@    zeroxaxis  ticklabel place on ticks
-@    zeroxaxis  ticklabel skip 0
-@    zeroxaxis  ticklabel stagger 0
-@    zeroxaxis  ticklabel op bottom
-@    zeroxaxis  ticklabel sign normal
-@    zeroxaxis  ticklabel start type auto
-@    zeroxaxis  ticklabel start 0.000000
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-@    zeroxaxis  ticklabel stop 0.000000
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-@    zeroxaxis  tick major off
-@    zeroxaxis  tick minor on
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-@    zeroxaxis  tick in
-@    zeroxaxis  tick major color 1
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-@    zeroxaxis  tick log off
-@    zeroxaxis  tick size 1.000000
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-@    zeroxaxis  bar off
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-@    zeroyaxis  tick on
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-@    zeroyaxis  label ""
-@    zeroyaxis  label layout para
-@    zeroyaxis  label place auto
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-@    zeroyaxis  label color 1
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-@    zeroyaxis  ticklabel off
-@    zeroyaxis  ticklabel type auto
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-@    zeroyaxis  ticklabel format decimal
-@    zeroyaxis  ticklabel append ""
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-@    zeroyaxis  ticklabel layout horizontal
-@    zeroyaxis  ticklabel place on ticks
-@    zeroyaxis  ticklabel skip 0
-@    zeroyaxis  ticklabel stagger 0
-@    zeroyaxis  ticklabel op left
-@    zeroyaxis  ticklabel sign normal
-@    zeroyaxis  ticklabel start type auto
-@    zeroyaxis  ticklabel start 0.000000
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-@    zeroyaxis  tick in
-@    zeroyaxis  tick major color 1
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-@    zeroyaxis  bar off
-@    zeroyaxis  bar color 1
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-@    zeroyaxis  tick major grid off
-@    zeroyaxis  tick minor grid off
-@    zeroyaxis  tick op both
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-@    legend on
-@    legend loctype view
-@    legend layout 0
-@    legend vgap 2
-@    legend hgap 1
-@    legend length 4
-@    legend box off
-@    legend box fill off
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-@    legend string 0 "32x32"
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-@    frame on
-@    frame type 0
-@    frame linestyle 1
-@    frame linewidth 1
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-@    frame fill off
-@    frame background color 0
- at with g1
- at g1 on
- at g1 label off
- at g1 hidden false
- at g1 type xy
- at g1 autoscale type AUTO
- at g1 fixedpoint off
- at g1 fixedpoint type 0
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- at g1 fixedpoint prec 6, 6
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-@    world xmax 2
-@    world ymin 12.1
-@    world ymax 12.7
-@    stack world 0, 0, 0, 0 tick 0, 0, 0, 0
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-&
- at WITH G1
- at G1 ON
- at TARGET S0
- at TYPE xy
-               0            12.49
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-               2            12.16
-&
- at TARGET S1
- at TYPE xy
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-&
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-         1.97265            12.56
-         1.97463            12.56
-         1.97661            12.56
-         1.97858            12.56
-         1.98056            12.56
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-         1.98847            12.56
-         1.99044            12.56
-         1.99242            12.56
-          1.9944            12.56
-         1.99637            12.56
-         1.99835            12.56
-               2            12.56
-&
- at WITH G2
- at G2 ON
- at TARGET S0
- at TYPE xy
-               0        4.702e-05
-      0.00793595          0.04626
-       0.0158485          0.04803
-       0.0237546          0.04809
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-               2          0.01569
-&
- at TARGET S1
- at TYPE xy
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-         1.48329          0.02276
-         1.48725          0.02686
-         1.49121          0.02234
-         1.49516          0.02006
-         1.49912          0.02286
-         1.50308          0.02696
-         1.50703          0.02245
-         1.51099          0.02017
-         1.51494          0.02294
-          1.5189          0.02705
-         1.52286          0.02254
-         1.52681          0.02027
-         1.53077          0.02305
-         1.53473          0.02716
-         1.53868          0.02263
-         1.54264          0.02038
-          1.5466          0.02316
-         1.55056          0.02729
-         1.55451          0.02272
-         1.55847          0.02045
-         1.56242           0.0233
-         1.56638          0.02743
-         1.57034          0.02283
-         1.57429          0.02053
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-         1.58617          0.02292
-         1.59012          0.02063
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-         1.71278          0.02612
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-         1.72069          0.02644
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-         1.72861          0.01979
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-         1.73652          0.02665
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-         1.74839          0.02265
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-         1.79587          0.02281
-         1.79983          0.02692
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-         1.80774          0.02013
-          1.8117          0.02297
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-         1.81962          0.02257
-         1.82357          0.02029
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-         1.83544          0.02269
-          1.8394          0.02041
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-         1.84731          0.02736
-         1.85127          0.02282
-         1.85523          0.02053
-         1.85918          0.02332
-         1.86314          0.02744
-          1.8671          0.02288
-         1.87106           0.0206
-         1.87501          0.02339
-         1.87897          0.02752
-         1.88293          0.02295
-         1.88688          0.02066
-         1.89084          0.02346
-          1.8948          0.02759
-         1.89876          0.02299
-         1.90271           0.0207
-         1.90667          0.02352
-         1.91063          0.02058
-         1.91458          0.02525
-         1.91854          0.02293
-          1.9225           0.0263
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-         1.93833          0.02614
-         1.94228          0.02119
-         1.94624           0.0254
-          1.9502          0.02274
-         1.95415           0.0261
-         1.95811          0.02141
-         1.96207          0.02564
-         1.96603          0.02196
-         1.96998          0.02593
-         1.97394          0.02148
-          1.9779           0.0257
-         1.98185          0.02198
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-         1.98977          0.02153
-         1.99373          0.02574
-         1.99768          0.02208
-               2          0.01759
-&
- at TARGET S2
- at TYPE xy
-               0        0.0001884
-       0.0019769         0.006371
-      0.00395344           0.0096
-      0.00592986          0.01073
-      0.00790641          0.01243
-      0.00988329          0.01188
-       0.0118598          0.01031
-       0.0138362         0.009879
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-       0.0177897          0.01128
-       0.0197662          0.01024
-       0.0217426          0.01005
-       0.0237192          0.01178
-        0.025696          0.01134
-       0.0276725           0.0103
-        0.029649          0.01005
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-       0.0375553          0.01019
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-       0.0415087          0.01147
-       0.0434853         0.008246
-       0.0454617          0.01022
-       0.0474383          0.01199
-       0.0494151          0.01147
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-       0.0533681          0.01027
-       0.0553447          0.01205
-       0.0573215          0.01149
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-       0.0691808          0.01068
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-       0.0731343          0.01082
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-        0.079064           0.0112
-       0.0810407          0.01085
-       0.0830172         0.008489
-       0.0849937          0.01037
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-       0.0889472          0.01085
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-       0.0968536          0.01086
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-&
diff --git a/test/euler/reference2D/timebox1.xmgr b/test/euler/reference2D/timebox1.xmgr
deleted file mode 100644
index 65f2b7f..0000000
--- a/test/euler/reference2D/timebox1.xmgr
+++ /dev/null
@@ -1,15665 +0,0 @@
-# ACE/gr parameter file
-#
- at version 40102
- at page layout free
- at ps linewidth begin 1
- at ps linewidth increment 2
- at hardcopy device 1
- at description "time.sh"
- at description "1 2 GfsDomain GfsBox GfsGEdge {} {"
- at description " GModule periodic_flow"
- at description " GModule testing"
- at description " GfsTime { end = 2 }"
- at description " GfsRefine 7"
- at description " GfsRefineBox 8"
- at description " GfsInitNonStationary {}"
- at description " GfsOutputTime { istep = 1 } stdout"
- at description " GfsOutputScalarNorm { istep = 1 } stdout { v = Divergence }"
- at description " GfsOutputScalarNorm { istep = 1 } stdout { v = Vorticity }"
- at description " GfsOutputNonStationaryError { istep = 1 } stdout"
- at description "}"
- at description "GfsBox { pid = 0 }"
- at description "1 1 right"
- at description "1 1 top"
- at page 5
- at page inout 5
- at link page off
- at default linestyle 1
- at default linewidth 1
- at default color 1
- at default char size 1.000000
- at default font 4
- at default font source 0
- at default symbol size 1.000000
- at timestamp off
- at timestamp 0.03, 0.03
- at timestamp linewidth 1
- at timestamp color 1
- at timestamp rot 0
- at timestamp font 4
- at timestamp char size 1.000000
- at timestamp def "Tue Jun  4 05:02:44 2002"
- at with g0
- at g0 on
- at g0 label off
- at g0 hidden false
- at g0 type xy
- at g0 autoscale type AUTO
- at g0 fixedpoint off
- at g0 fixedpoint type 0
- at g0 fixedpoint xy 0.000000, 0.000000
- at g0 fixedpoint format general general
- at g0 fixedpoint prec 6, 6
-@    world xmin 0
-@    world xmax 2
-@    world ymin 0
-@    world ymax 0.06
-@    stack world 0, 0, 0, 0 tick 0, 0, 0, 0
-@    view xmin 0.100000
-@    view xmax 0.475000
-@    view ymin 0.100000
-@    view ymax 0.475000
-@    title ""
-@    title font 4
-@    title size 1.500000
-@    title color 1
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-@    subtitle font 4
-@    subtitle size 1.000000
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-         1.24366       0.00457871
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-         1.24761       0.00462699
-         1.24959       0.00464977
-         1.25157       0.00467343
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-         1.25948       0.00476919
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-         1.26739       0.00486119
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-         1.27531       0.00495008
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-         1.38612       0.00559815
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-         1.39404       0.00558992
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-           1.398       0.00558316
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-         1.72434       0.00773974
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-         1.73027       0.00786326
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-         1.74016       0.00806365
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-         1.75797       0.00839998
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-          1.7639        0.0085031
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-          1.7738       0.00866265
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-         1.87079       0.00903076
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-          1.9282       0.00829644
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-         1.93414       0.00821599
-         1.93612       0.00819012
-          1.9381       0.00816481
-         1.94008       0.00814013
-         1.94206       0.00811614
-         1.94404       0.00809288
-         1.94602       0.00807043
-         1.94799       0.00804885
-         1.94997        0.0080282
-         1.95195       0.00800851
-         1.95393       0.00798981
-         1.95591       0.00797218
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-         1.95987       0.00794031
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-          1.9658       0.00790187
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-          1.9757       0.00786524
-         1.97768       0.00786242
-         1.97966       0.00786118
-         1.98164       0.00786157
-         1.98362       0.00786364
-         1.98559       0.00786738
-         1.98757       0.00787287
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-         1.99152       0.00788905
-          1.9935       0.00789983
-         1.99548       0.00791094
-         1.99746       0.00792551
-         1.99943       0.00794155
-               2       0.00794822
-&
- at TARGET S2
- at TYPE xy
-               0      3.40729e-07
-     0.000988271      1.76082e-05
-      0.00197653      1.97789e-05
-      0.00296479      2.06959e-05
-      0.00395301      2.28392e-05
-      0.00494122       2.4737e-05
-      0.00592945      2.77707e-05
-      0.00691771       2.9336e-05
-        0.007906       3.0808e-05
-      0.00889429      3.08265e-05
-      0.00988255      3.22316e-05
-       0.0108708      3.36498e-05
-        0.011859      3.50946e-05
-       0.0128472      3.65644e-05
-       0.0138355      3.80552e-05
-       0.0148237      3.95581e-05
-        0.015812      4.10609e-05
-       0.0168003      4.25574e-05
-       0.0177886      4.40409e-05
-       0.0187768      4.55019e-05
-        0.019765      4.69424e-05
-       0.0207533      4.83566e-05
-       0.0217415      4.97421e-05
-       0.0227298      5.10989e-05
-        0.023718      5.24292e-05
-       0.0247063      5.37333e-05
-       0.0256946      5.50129e-05
-       0.0266828      5.62711e-05
-       0.0276711      5.75107e-05
-       0.0286593      5.87327e-05
-       0.0296475      5.99366e-05
-       0.0306358      6.11265e-05
-       0.0316241      6.23007e-05
-       0.0326123      6.34615e-05
-       0.0336006      6.46112e-05
-       0.0345889      6.57511e-05
-       0.0355771      6.68823e-05
-       0.0365653      6.80036e-05
-       0.0375536      6.91176e-05
-       0.0385418       7.0221e-05
-       0.0395301      7.13161e-05
-       0.0405184      7.24024e-05
-       0.0415066      7.34811e-05
-       0.0424949      7.45548e-05
-       0.0434831      7.56201e-05
-       0.0444713      7.66796e-05
-       0.0454596      7.77316e-05
-       0.0464478      7.87767e-05
-       0.0474361      7.98127e-05
-       0.0484244      8.08422e-05
-       0.0494127      8.18641e-05
-       0.0504009      8.28795e-05
-       0.0513891      8.38888e-05
-       0.0523774      8.48886e-05
-       0.0533656      8.58801e-05
-       0.0543539       8.6863e-05
-       0.0553422      8.78388e-05
-       0.0563304      8.88042e-05
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-        0.066213      9.80724e-05
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-       0.0681894      9.98332e-05
-       0.0691777        0.0001007
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-       0.0711543      0.000102411
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-       0.0731308      0.000104091
-        0.074119      0.000104923
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-       0.0770838      0.000107379
-        0.078072      0.000108185
-       0.0790603      0.000108988
-       0.0800486      0.000109781
-       0.0810368      0.000110567
-       0.0820251      0.000111352
-       0.0830133      0.000112127
-       0.0840016        0.0001129
-       0.0849898      0.000113669
-       0.0859781      0.000114428
-       0.0869664      0.000115189
-       0.0879547      0.000115948
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-       0.0899312      0.000117462
-       0.0909194      0.000118215
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-       0.0938841      0.000120461
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-       0.0958607       0.00012195
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-       0.0988254      0.000124192
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-        0.100802      0.000125702
-         0.10179      0.000126461
-        0.102778      0.000127218
-        0.103767      0.000127979
-        0.104755      0.000128743
-        0.105743      0.000129513
-        0.106732      0.000130283
-         0.10772      0.000131057
-        0.108708      0.000131838
-        0.109696      0.000132624
-        0.110685      0.000133413
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-        0.113649      0.000135819
-        0.114638      0.000136639
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-        0.117602      0.000139149
-        0.118591      0.000140005
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-        0.120567      0.000141747
-        0.121555      0.000142637
-        0.122544      0.000143531
-        0.123532      0.000144436
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-        0.125508      0.000146278
-        0.126497      0.000147217
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-        0.128473      0.000149125
-        0.129462      0.000150098
-         0.13045       0.00015108
-        0.131438      0.000152077
-        0.132426       0.00015308
-        0.133415      0.000154094
-        0.134403      0.000155116
-        0.135391      0.000156149
-        0.136379      0.000157194
-        0.137368      0.000158242
-        0.138356      0.000159298
-        0.139344       0.00016036
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-        0.141321      0.000162503
-        0.142309      0.000163581
-        0.143297      0.000164667
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-        0.145274      0.000166848
-        0.146262      0.000167946
-         0.14725      0.000169045
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-        0.149227      0.000171252
-        0.150215      0.000172357
-        0.151203      0.000173465
-        0.152192      0.000174575
-         0.15318      0.000175685
-        0.154168      0.000176794
-        0.155156      0.000177904
-        0.156145      0.000179011
-        0.157133      0.000180117
-        0.158121      0.000181226
-         0.15911      0.000182335
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-&
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-&
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-&
- at TARGET S1
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-         1.99943          0.01436
-               2         0.009718
-&
- at TARGET S2
- at TYPE xy
-               0         0.001208
-      0.00098827         0.006092
-      0.00197653         0.007396
-      0.00296479         0.007381
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-          1.8175          0.03379
-         1.81849          0.03364
-         1.81948           0.0335
-         1.82047          0.03337
-         1.82145          0.03323
-         1.82244          0.03308
-         1.82343          0.03293
-         1.82442          0.03278
-         1.82541          0.03262
-          1.8264          0.03246
-         1.82739          0.03231
-         1.82837          0.03216
-         1.82936          0.03201
-         1.83035          0.03186
-         1.83134           0.0317
-         1.83233          0.03153
-         1.83332          0.03137
-          1.8343           0.0312
-         1.83529          0.03103
-         1.83628          0.03088
-         1.83727          0.03072
-         1.83826          0.03178
-         1.83925          0.03248
-         1.84024          0.03273
-         1.84122          0.03291
-         1.84221          0.03304
-          1.8432          0.03316
-         1.84419          0.03511
-         1.84518          0.03608
-         1.84617          0.03645
-         1.84716          0.03654
-         1.84814           0.0364
-         1.84913          0.03581
-         1.85012          0.03564
-         1.85111          0.03553
-          1.8521          0.03498
-         1.85309          0.03443
-         1.85407          0.03395
-         1.85506          0.03357
-         1.85605          0.03316
-         1.85704          0.03288
-         1.85803          0.03269
-         1.85902          0.03258
-         1.86001          0.03249
-         1.86099          0.03243
-         1.86198          0.03237
-         1.86297           0.0323
-         1.86396          0.03278
-         1.86495          0.03246
-         1.86594          0.03253
-         1.86693          0.03262
-         1.86791          0.03266
-          1.8689          0.03271
-         1.86989          0.03276
-         1.87088           0.0328
-         1.87187          0.03283
-         1.87286          0.03287
-         1.87385          0.03288
-         1.87483          0.03289
-         1.87582          0.03278
-         1.87681          0.03272
-          1.8778           0.0327
-         1.87879          0.03272
-         1.87978          0.03275
-         1.88077          0.03279
-         1.88175          0.03281
-         1.88274          0.03283
-         1.88373          0.03334
-         1.88472          0.03327
-         1.88571          0.03304
-          1.8867          0.03287
-         1.88768          0.03012
-         1.88867          0.02893
-         1.88966          0.02846
-         1.89065          0.02827
-         1.89164          0.02816
-         1.89263          0.02919
-         1.89362          0.03016
-          1.8946          0.03089
-         1.89559          0.02695
-         1.89658          0.02518
-         1.89757          0.02617
-         1.89856          0.02716
-         1.89955          0.02796
-         1.90054          0.02969
-         1.90152          0.03023
-         1.90251           0.0307
-          1.9035          0.03147
-         1.90449          0.03256
-         1.90548          0.03273
-         1.90647          0.03073
-         1.90746          0.03119
-         1.90844          0.03125
-         1.90943            0.031
-         1.91042          0.03065
-         1.91141          0.03074
-          1.9124          0.03059
-         1.91339          0.02903
-         1.91437          0.02784
-         1.91536          0.02711
-         1.91635          0.02645
-         1.91734          0.02586
-         1.91833          0.02533
-         1.91932          0.02524
-          1.9203          0.02506
-         1.92129          0.02494
-         1.92228          0.02503
-         1.92327          0.02502
-         1.92426          0.02489
-         1.92525          0.02469
-         1.92624          0.02444
-         1.92722          0.02416
-         1.92821          0.02382
-          1.9292          0.02343
-         1.93019          0.02307
-         1.93118          0.02264
-         1.93217          0.02222
-         1.93315          0.02182
-         1.93414          0.02145
-         1.93513          0.02108
-         1.93612          0.02071
-         1.93711          0.02034
-          1.9381          0.01998
-         1.93909          0.01963
-         1.94007          0.01927
-         1.94106          0.01892
-         1.94205          0.01856
-         1.94304          0.01819
-         1.94403          0.01782
-         1.94502          0.01744
-           1.946          0.01707
-         1.94699          0.01669
-         1.94798          0.01633
-         1.94897          0.01597
-         1.94996          0.01561
-         1.95095          0.01526
-         1.95193          0.01492
-         1.95292          0.01458
-         1.95391          0.01424
-          1.9549          0.01393
-         1.95589          0.01374
-         1.95688          0.01353
-         1.95787          0.01332
-         1.95885          0.01311
-         1.95984          0.01289
-         1.96083          0.01267
-         1.96182          0.01245
-         1.96281          0.01222
-          1.9638            0.012
-         1.96478          0.01177
-         1.96577          0.01154
-         1.96676          0.01132
-         1.96775          0.01109
-         1.96874          0.01086
-         1.96973          0.01063
-         1.97071          0.01039
-          1.9717          0.01016
-         1.97269         0.009921
-         1.97368         0.009679
-         1.97467         0.009431
-         1.97566         0.009181
-         1.97664         0.008925
-         1.97763         0.008665
-         1.97862           0.0084
-         1.97961         0.008131
-          1.9806          0.00786
-         1.98159         0.007584
-         1.98257         0.007305
-         1.98356         0.007022
-         1.98455         0.006736
-         1.98554         0.006457
-         1.98653         0.006272
-         1.98752         0.006087
-          1.9885         0.005903
-         1.98949         0.005719
-         1.99048         0.005535
-         1.99147         0.005753
-         1.99246         0.005754
-         1.99345          0.00556
-         1.99443         0.005571
-         1.99542         0.005663
-         1.99641         0.005743
-          1.9974         0.005598
-         1.99839          0.00565
-         1.99937         0.005723
-               2         0.004242
-&
diff --git a/test/euler/reynolds/reynolds.sh b/test/euler/reynolds/reynolds.sh
index 4a6819b..ba314b4 100644
--- a/test/euler/reynolds/reynolds.sh
+++ b/test/euler/reynolds/reynolds.sh
@@ -1,20 +1,22 @@
-rm -f reynolds
+if ! $donotrun; then
+    rm -f reynolds
 
-for level in 5 6 7; do
-  if sed "s/LEVEL/$level/g" < $1 | gerris2D - | awk -v m=$2 -v level=$level '{
-    time = $3
-    ke = $5
-    if (time == 0)
-      ke0 = ke;
-  }END{
-    a = -log(ke/ke0)/time
-    nu = a/(4.*(2.*m*3.14159265359)^2)
-    print level " " 1./nu
-  }' >> reynolds; then :
-  else
-      exit 1
-  fi
-done
+    for level in 5 6 7; do
+	if sed "s/LEVEL/$level/g" < $1 | gerris2D - | awk -v m=$2 -v level=$level '{
+          time = $3
+          ke = $5
+          if (time == 0)
+            ke0 = ke;
+          }END{
+            a = -log(ke/ke0)/time
+            nu = a/(4.*(2.*m*3.14159265359)^2)
+            print level " " 1./nu
+          }' >> reynolds; then :
+	else
+	    exit 1
+	fi
+    done
+fi
 
 if cat <<EOF | gnuplot ; then :
     set term postscript eps color solid 20
@@ -41,14 +43,10 @@ fi
 if cat <<EOF | python ; then :
 from check import *
 from sys import *
-if (Curve('div5',3,9) - Curve('div5.ref',3,9)).max() > 0.05*Curve('div5.ref',3,9).mean() or\
-   (Curve('div6',3,9) - Curve('div6.ref',3,9)).max() > 0.05*Curve('div6.ref',3,9).mean() or\
-   (Curve('div7',3,9) - Curve('div7.ref',3,9)).max() > 0.05*Curve('div7.ref',3,9).mean() or\
-   (Curve('div5',3,7) - Curve('div5.ref',3,7)).max() > 0.05*Curve('div5.ref',3,7).mean() or\
-   (Curve('div6',3,7) - Curve('div6.ref',3,7)).max() > 0.05*Curve('div6.ref',3,7).mean() or\
-   (Curve('div7',3,7) - Curve('div7.ref',3,7)).max() > 0.05*Curve('div7.ref',3,7).mean() or\
-   (Curve('reynolds',1,2) - Curve('reynolds.ref',1,2)).max() > 0.0 :
-   exit(1)
+for div in ['div5','div6','div7']:
+  if (Curve(div,3,9) - Curve(div+'.ref',3,9)).max() > 0.01*Curve(div+'.ref',3,9).mean() or\
+     (Curve(div,3,7) - Curve(div+'.ref',3,7)).max() > 0.01*Curve(div+'.ref',3,7).mean():
+    exit(1)
 EOF
 else
    exit 1
diff --git a/test/euler/scripts/time.sh b/test/euler/scripts/time.sh
deleted file mode 100755
index bbc8c19..0000000
--- a/test/euler/scripts/time.sh
+++ /dev/null
@@ -1,130 +0,0 @@
-#! /bin/sh
-
-description ()
-{
-    awk 'BEGIN { n = 0 }
-         {
-           if ($1 == "@description") {
-	     if (n > 0) { 
-               for (i = 2; i <= NF; i++)
-	         printf ("%s ", $i);
-	       printf ("\n");
-	     }
-             n++
-           }
-         }' < $1 | sed 's/\"//g'
-}
-
-if test -z "$1"; then
-    echo "usage: time.sh FILE.xmgr"
-    exit 1
-fi
-
-echo "@description \"./time.sh\""
-number=0
-error=`mktemp /tmp/error.XXXXXX`
-sim=`mktemp /tmp/sim.XXXXXX`
-maxlevel=`description $1 | awk '{if ($1 == "GfsRefine") print $2;}'`
-levelbox=`description $1 | awk -v level=$maxlevel '{if ($1 == "GfsRefineBox") print $2 - level;}'`
-#maxlevel=6
-for level in `seq 5 1 $maxlevel`; do
-    description $1 | awk -v level=$level -v levelbox=$levelbox '{
-	    if ($1 == "GfsRefine")
-		print "GfsRefine " level;
-            else if ($1 == "GfsRefineBox")
-		print "GfsRefineBox " level + levelbox;
-            else 
-		print $0;
-        }' > $sim
-    if gerris2D $sim > $error.$level; then
-	:
-    else
-	rm -f $sim $error
-	exit 1
-    fi
-done
-rm -f $sim
-
-echo "@WITH G0"
-echo "@G0 ON"
-echo "@G0 TYPE xy"
-echo "@XAXIS LABEL \"Time\""
-echo "@xaxis label char size 0.6"
-echo "@xaxis ticklabel char size 0.6"
-echo "@YAXIS LABEL \"Error (L2 norm)\""
-echo "@yaxis label char size 0.6"
-echo "@yaxis ticklabel char size 0.6"
-number=0
-for level in `seq 5 1 $maxlevel`; do
-    echo "@LEGEND STRING $number \"`awk -v level=$level 'BEGIN{size = exp(level*log(2)); print size "x" size;}'`\""
-    echo "@TARGET S$number"
-    echo "@TYPE xy" 
-    awk '{ if ($1 == "domain:")
-             print $2 " " $4}' < $error.$level
-    echo "&"
-    number=`expr $number + 1`
-done
-
-echo "@WITH G1"
-echo "@G1 ON"
-echo "@G1 TYPE xy"
-echo "@XAXIS LABEL \"Time\""
-echo "@xaxis label char size 0.6"
-echo "@xaxis ticklabel char size 0.6"
-echo "@YAXIS LABEL \"Vorticity (L2 norm)\""
-echo "@yaxis label char size 0.6"
-echo "@yaxis ticklabel char size 0.6"
-number=0
-for level in `seq 5 1 $maxlevel`; do
-    echo "@LEGEND STRING $number \"`awk -v level=$level 'BEGIN{size = exp(level*log(2)); print size "x" size;}'`\""
-    echo "@TARGET S$number"
-    echo "@TYPE xy" 
-    awk '{if ($3 == "t:") time = $4; 
-          else if ($1 == "Vorticity") print time " " $5;}' < $error.$level
-    echo "&"
-    number=`expr $number + 1`
-done
-
-echo "@WITH G2"
-echo "@G2 ON"
-echo "@G2 TYPE xy"
-echo "@XAXIS LABEL \"Time\""
-echo "@xaxis label char size 0.6"
-echo "@xaxis ticklabel char size 0.6"
-echo "@YAXIS LABEL \"Divergence (L2 norm)\""
-echo "@yaxis label char size 0.6"
-echo "@yaxis ticklabel char size 0.6"
-number=0
-for level in `seq 5 1 $maxlevel`; do
-    echo "@LEGEND STRING $number \"`awk -v level=$level 'BEGIN{size = exp(level*log(2)); print size "x" size;}'`\""
-    echo "@TARGET S$number"
-    echo "@TYPE xy" 
-    awk '{if ($3 == "t:") time = $4;
-          else if ($1 == "Divergence")
-            print time " " $5;}' < $error.$level
-    echo "&"
-    number=`expr $number + 1`
-done
-
-echo "@WITH G3"
-echo "@G3 ON"
-echo "@G3 TYPE xy"
-echo "@XAXIS LABEL \"Time\""
-echo "@xaxis label char size 0.6"
-echo "@xaxis ticklabel char size 0.6"
-echo "@YAXIS LABEL \"Divergence (Lmax norm)\""
-echo "@yaxis label char size 0.6"
-echo "@yaxis ticklabel char size 0.6"
-number=0
-for level in `seq 5 1 $maxlevel`; do
-    echo "@LEGEND STRING $number \"`awk -v level=$level 'BEGIN{size = exp(level*log(2)); print size "x" size;}'`\""
-    echo "@TARGET S$number"
-    echo "@TYPE xy" 
-    awk '{if ($3 == "t:") time = $4; 
-          else if ($1 == "Divergence")
-            print time " " $7;}' < $error.$level
-    echo "&"
-    number=`expr $number + 1`
-done
-
-rm -f $error*
diff --git a/test/euler/template.tex b/test/euler/template.tex
index 0ac6138..8e1aa5c 100644
--- a/test/euler/template.tex
+++ b/test/euler/template.tex
@@ -24,6 +24,7 @@
 
 \input{reynolds/reynolds.tex}
 \input{reynolds/box/box.tex}
+\input{periodic/periodic.tex}
 
 \bibliographystyle{plain}
 \bibliography{tests}
diff --git a/test/euler/test.py b/test/euler/test.py
index e8005db..2605604 100644
--- a/test/euler/test.py
+++ b/test/euler/test.py
@@ -6,7 +6,7 @@ sys.path.append("../../doc/examples")
 import gfs2tex
 from datetime import *
 
-env = "PYTHONPATH=$PYTHONPATH:" + os.getcwd()
+env = "PYTHONPATH=$PYTHONPATH:" + os.getcwd() + " donotrun=false"
 system = commands.getoutput('uname -o -n -m')
 path = commands.getoutput('which gerris2D')
 version = commands.getoutput("""gerris2D -V 2>&1 | awk '{if ($5 == "version") print $6;}'""")
@@ -48,9 +48,9 @@ print >>summary, r'{\bf Finish} &', endtime.strftime('%a %d %b %H:%M:%S'), r'\\'
 print >>summary, r'{\bf Elapsed} &', repr(e.days) + ":" + repr(h) + ":" + repr(m) + ":" + repr(s), r'\\'
 print >>summary, r'{\bf Status} &',
 if failed:
-    print >>summary, r'{\color{red}FAIL}'
+    print >>summary, r'{\color{red}FAIL (' + repr(failed) + '/' + repr(n) +')}'
 else:
-    print >>summary, r'{\color{green}PASS}'
+    print >>summary, r'{\color{green}PASS (' + repr(n) + ')}'
 print >>summary, r'\end{tabular}'
 
 if failed:
diff --git a/test/euler/tests.bib b/test/euler/tests.bib
index 4df0aaf..bb9cec2 100644
--- a/test/euler/tests.bib
+++ b/test/euler/tests.bib
@@ -1,3 +1,36 @@
+ at Article{almgren98,
+  author = 	 {A. S. Almgren and J. B. Bell and P. Colella and L. H. Howell and M. L. Welcome},
+  title = 	 {A Conservative Adaptive Projection Method for the Variable Density Incompressible Navier-Stokes Equations},
+  journal = 	 {J. Comput. Phys.},
+  year = 	 1998,
+  volume =	 142,
+  pages =	 {1-46},
+  url =          {http://seesar.lbl.gov/ccse/Publications/almgren/abchw96/paper.ps.gz},
+  local_url =    {almgren1.ps.gz}
+}
+
+ at Article{minion96,
+  author = 	 {M. L. Minion},
+  title = 	 {A Projection Method for Locally Refined Grids},
+  journal = 	 {J. Comput. Phys.},
+  volume =       127,
+  pages =        {158-177},
+  year = 	 1996,
+  url =          {http://citeseer.nj.nec.com/minion96projection.html},
+  local_url =    {minion96.ps.gz}
+}
+
+ at Article{popinet2003,
+  author = 	 {S. Popinet},
+  title = 	 {Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries},
+  journal = 	 {J. Comput. Phys.},
+  year = 	 2003,
+  volume =	 190,
+  number =	 2,
+  pages =	 {572-600},
+  url =          {http://gfs.sf.net/gerris.pdf}
+}
+
 @TechReport{rider95,
   author = 	 {W. J. Rider},
   title = 	 {Approximate projection methods for incompressible flows: Implementation, variants and robustness},

-- 
Gerris Flow Solver



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