[SCM] Gerris Flow Solver branch, upstream, updated. b3aa46814a06c9cb2912790b23916ffb44f1f203
Stephane Popinet
s.popinet at niwa.co.nz
Fri May 15 02:52:02 UTC 2009
The following commit has been merged in the upstream branch:
commit d18231a93859d0d3056e9dab78996235f6ef173e
Author: Stephane Popinet <s.popinet at niwa.co.nz>
Date: Fri Jun 17 10:44:24 2005 +1000
New 4-way vortex merging test case
darcs-hash:20050617004424-fbd8f-a101f022135e80b0a2275a73364d5a1464856c9f.gz
diff --git a/test/euler/Makefile.am b/test/euler/Makefile.am
index fb909da..ca7f1e5 100644
--- a/test/euler/Makefile.am
+++ b/test/euler/Makefile.am
@@ -2,7 +2,8 @@
TESTDIRS = \
reynolds \
- periodic
+ periodic \
+ merging
EXTRA_DIST = \
template.tex \
diff --git a/doc/examples/boussinesq/boussinesq.gfv b/test/euler/merging/levels.gfv
similarity index 54%
copy from doc/examples/boussinesq/boussinesq.gfv
copy to test/euler/merging/levels.gfv
index 2d4657f..84f69dd 100644
--- a/doc/examples/boussinesq/boussinesq.gfv
+++ b/test/euler/merging/levels.gfv
@@ -1,22 +1,20 @@
# GfsView 2D
View {
- tx = -0.00447772 ty = -0.419694
+ tx = 0 ty = 0
q0 = 0 q1 = 0 q2 = 0 q3 = 1
- zoom = -21.0352
+ zoom = -11.6434
r = 0.3 g = 0.4 b = 0.6
res = 1
lc = 0.001
reactivity = 0.1
}
-Linear {
+Boundaries {
+ r = 0 g = 0 b = 0
+ shading = Constant
+ maxlevel = 8
+}
+Levels {
r = 0 g = 0 b = 0
shading = Constant
maxlevel = 8
-} {
- v = T
- amin = 0 min = 1.9696e-19
- amax = 0 max = 1
- cmap = Jet
-} {
- scale = 0
}
diff --git a/test/euler/merging/merging.gfs b/test/euler/merging/merging.gfs
new file mode 100644
index 0000000..d091444
--- /dev/null
+++ b/test/euler/merging/merging.gfs
@@ -0,0 +1,158 @@
+# Title: Convergence for the three-way vortex merging problem
+#
+# Description:
+#
+# Another of the test cases presented in Popinet \cite{popinet2003},
+# initially used by Almgren et al. \cite{almgren98}, this convergence
+# test illustrates the second-order accuracy of Gerris when refinement
+# is placed appropriately, either through static refinement or dynamic
+# adaptive refinement.
+#
+# Four vortices are placed in the unit-square, centred at $(0,0)$,
+# $(0.09,0)$, $(-0.045,0.045\sqrt{3})$ and $(-0.045,$ $-0.045\sqrt{3})$
+# and of strengths $-150$, $50$, $50$, $50$ respectively. The profile of
+# each vortex centred around $(x_i,y_i)$ is
+# $$
+# {1+\tanh(100(0.03-r_i))\over 2},
+# $$
+# where $r_i=\sqrt{(x-x_i)^2+(y-y_i)^2}$. To initialise the velocity
+# field, we use this vorticity as the source term in the Poisson
+# equation for the streamfunction $\psi$
+# $$
+# \nabla^2\psi=\|\nabla\times{\bf U}\|.
+# $$
+# Each component of the velocity field is then calculated from the
+# streamfunction. No-flow boundary conditions are used on the four sides
+# of the domain and the simulations are ran to $t=0.25$ using a CFL of
+# 0.9.
+#
+# Two different discretisations are used, each time with up to $L$
+# levels of refinement: a grid using static refinement in concentric
+# circles of decreasing radius and a grid using dynamic adaptive
+# refinement. The ``circle'' grid is constructed by starting from a
+# uniform grid with four levels of refinement and by successively adding
+# one level to all the cells contained within circles centred on the
+# origin and of radii:
+# \begin{itemize}
+# \item $L=6$: 0.25, 0.15
+# \item $L=7$: 0.25, 0.2, 0.15
+# \item $L=8$: 0.25, 0.2, 0.175, 0.15
+# \item $L=9$: 0.25, 0.2, 0.175, 0.1625, 0.15
+# \end{itemize}
+# For the dynamically refined grid, the vorticity-based criterion is
+# applied at every timestep with a threshold $\tau=4\times10^{-3}$. As
+# we do not have an analytical solution for this problem, Richardson
+# extrapolation is used.
+#
+# Figure \ref{vorticity} illustrates the evolution of the vorticity
+# and of the adaptively refined grid for $L=8$. The most refined level
+# closely follows the three outer vortices as they orbit the central
+# one. Far from the vortices, a very coarse mesh is used ($l=3$). One
+# may note a few isolated patches of refinement scattered at the
+# periphery of the outer vortices. They are due to the numerical noise
+# added to the vorticity by the interpolation procedure necessary to
+# fill in velocity values for newly created cells. This could be
+# improved by using higher-order interpolants.
+#
+# Table \ref{convergence} summarises the results obtained for the
+# first twelve calculations. For fine enough grids close to
+# second-order convergence is obtained for both norms and for the two
+# discretisations used. The norms of the error on the various grids
+# are also comparable for a given resolution, but fine adaptive meshes
+# show a degradation in convergence due to the numerical noise.
+#
+# \begin{table}
+# \begin{center}
+# \input{convergence.tex}
+# \end{center}
+# \caption{Errors and convergence orders in the $x$-component of the
+# velocity for the four-way vortex merging problem. The reference
+# solution values are given in blue.}
+# \label{convergence}
+# \end{table}
+#
+# \begin{figure}
+# \begin{center}
+# \begin{tabular}{cc}
+# \includegraphics*[width=0.3\hsize]{tv_0_05.eps} &
+# \includegraphics*[width=0.3\hsize]{tm_0_05.eps} \\
+# \multicolumn{2}{c}{$t=0.05$} \\
+# \\
+# \includegraphics*[width=0.3\hsize]{tv_0_15.eps} &
+# \includegraphics*[width=0.3\hsize]{tm_0_15.eps} \\
+# \multicolumn{2}{c}{$t=0.15$} \\
+# \\
+# \includegraphics*[width=0.3\hsize]{tv_0_25.eps} &
+# \includegraphics*[width=0.3\hsize]{tm_0_25.eps} \\
+# \multicolumn{2}{c}{$t=0.25$}
+# \end{tabular}
+# \end{center}
+# \caption{Contour plots of vorticity (left) and adaptive grids used
+# (right) for the four-way vortex merging calculation. The lines on the
+# pictures in the right column represent the boundaries between levels
+# of refinement (with a maximum of $L=8$ levels).}
+# \label{vorticity}
+# \end{figure}
+#
+# Author: St\'ephane Popinet
+# Command: sh merging.sh merging.gfs
+# Version: 0.6.4
+# Required files: merging.sh levels.gfv vorticity.gfv sim.err.ref simc.err.ref
+# Running time: 3 minutes
+# Generated files: convergence.tex tv_0_05.eps tm_0_05.eps tv_0_15.eps tm_0_15.eps tv_0_25.eps tm_0_25.eps
+#
+1 0 GfsSimulation GfsBox GfsGEdge {} {
+ Time { end = 0.3 }
+ AdvectionParams { cfl = 0.9 }
+ ApproxProjectionParams { tolerance = 1e-5 }
+ ProjectionParams { tolerance = 1e-5 }
+ Refine {
+ double r = sqrt(x*x + y*y);
+ switch (LEVEL) {
+ case 6: return r > 0.25 ? 4 : r > 0.15 ? 5 : 6;
+ case 7: return r > 0.25 ? 4 : r > 0.2 ? 5 : r > 0.15 ? 6 : 7;
+ case 8: return r > 0.25 ? 4 : r > 0.2 ? 5 : r > 0.175 ? 6 : r > 0.15 ? 7 : 8;
+ case 9: return r > 0.25 ? 4 : r > 0.2 ? 5 : r > 0.175 ? 6 : r > 0.1625 ? 7 : r > 0.15 ? 8 : 9;
+ }
+ }
+ InitVorticity {} {
+ double vortex (double xo, double yo, double s) {
+ double r = sqrt ((x - xo)*(x - xo) + (y - yo)*(y - yo));
+ return s*(1. + tanh (100.*(0.03 - r)))/2.;
+ }
+ return vortex (0., 0., -150.) +
+ vortex (0.09, 0., 50.) +
+ vortex (-0.045, 0.0779422863406, 50.) +
+ vortex (-0.045, -0.0779422863406, 50.);
+ }
+ AdaptVorticity { istep = 1 } { maxlevel = LEVEL cmax = 4e-3 }
+ OutputSimulation { start = 0.05 } stdout {}
+ EventScript { start = 0.05 } {
+ echo Clear
+ cat levels.gfv
+ echo Save tm_0_05.eps { format = EPS line_width = 0.1 }
+ echo Clear
+ cat vorticity.gfv
+ echo Save tv_0_05.eps { format = EPS line_width = 0.1 }
+ }
+ OutputSimulation { start = 0.15 } stdout {}
+ EventScript { start = 0.15 } {
+ echo Clear
+ cat levels.gfv
+ echo Save tm_0_15.eps { format = EPS line_width = 0.1 }
+ echo Clear
+ cat vorticity.gfv
+ echo Save tv_0_15.eps { format = EPS line_width = 0.1 }
+ }
+ OutputSimulation { start = 0.25 } stdout {}
+ EventScript { start = 0.25 } {
+ echo Clear
+ cat levels.gfv
+ echo Save tm_0_25.eps { format = EPS line_width = 0.1 }
+ echo Clear
+ cat vorticity.gfv
+ echo Save tv_0_25.eps { format = EPS line_width = 0.1 }
+ }
+ OutputSimulation { start = 0.25 } SIM {}
+}
+GfsBox {}
diff --git a/test/euler/merging/merging.sh b/test/euler/merging/merging.sh
new file mode 100644
index 0000000..e2ba918
--- /dev/null
+++ b/test/euler/merging/merging.sh
@@ -0,0 +1,90 @@
+if ! $donotrun; then
+ if sed "s/LEVEL/8/g" < $1 | \
+ sed "s/SIM/sim-8/g" | \
+ gerris2D - | gfsview2D; then :
+ else
+ exit 1
+ fi
+
+ for level in 6 7 9; do
+ if sed "s/LEVEL/$level/g" < $1 | \
+ sed "s/SIM/sim-$level/g" | \
+ gerris2D - > /dev/null; then :
+ else
+ exit 1
+ fi
+ done
+
+ for level in 6 7 8 9; do
+ if sed "s/LEVEL/$level/g" < $1 | \
+ sed "s/AdaptVorticity/# AdaptVorticity/g" | \
+ sed "s/SIM/simc-$level/g" | \
+ gerris2D - > /dev/null; then :
+ else
+ exit 1
+ fi
+ done
+fi
+
+for s in sim simc; do
+ rm -f $s.err
+ for level in 6 7 8; do
+ level1=`expr $level + 1`
+ echo -n "$level " >> $s.err
+ if gfscompare2D -v $s-$level $s-$level1 U 2>&1 | \
+ awk '{if ($1 == "total") print $6 " " $8;}' >> $s.err; then :
+ else
+ exit 1
+ fi
+ done
+done
+
+if cat <<EOF | python > convergence.tex ; then :
+from check import *
+from sys import *
+from math import *
+
+print r"""\begin{tabular}{|c|c|c|c|c|c|}\hline
+Domain & \multicolumn{5}{c|}{\$L_2\$}\\\ \hline
+ & \$L=6\$ & \$O_2\$ & \$L=7\$ & \$O_2\$ & \$L=8\$ \\\ \hline"""
+
+def order(r,color='black'):
+ for i in range(0,len(r.l)-1):
+ y0,y1 = r.l[i][1],r.l[i+1][1]
+ print '& {\color{%s}%.2e} & {\color{%s}%4.2f}' % (color, y0, color, log(y0/y1)/log(2.)),
+ print '& {\color{%s}%.2e}' % (color, r.l[i+1][1]), r'\\\'
+
+print 'Circle',
+order(Curve('simc.err',1,2))
+order(Curve('simc.err',1,2), 'blue')
+print 'Adaptive',
+order(Curve('sim.err',1,2))
+order(Curve('sim.err',1,2), 'blue')
+
+print r"""\hline
+Domain & \multicolumn{5}{c|}{\$L_\infty\$} \\\ \hline
+ & \$L=6\$ & \$O_\infty\$ & \$L=7\$ & \$O_\infty\$ & \$L=8\$ \\\ \hline"""
+
+print 'Circle',
+order(Curve('simc.err',1,3))
+order(Curve('simc.err',1,3), 'blue')
+print 'Adaptive',
+order(Curve('sim.err',1,3))
+order(Curve('sim.err',1,3), 'blue')
+
+print r"\hline\end{tabular}"
+EOF
+else
+ exit 1
+fi
+
+if cat <<EOF | python ; then :
+from check import *
+from sys import *
+if (Curve('sim.err',1,2) - Curve('sim.err.ref',1,2)).max() > 1e-6 or\
+ (Curve('simc.err',1,3) - Curve('simc.err.ref',1,3)).max() > 1e-6:
+ exit(1)
+EOF
+else
+ exit 1
+fi
diff --git a/test/euler/merging/sim.err.ref b/test/euler/merging/sim.err.ref
new file mode 100644
index 0000000..4e826e3
--- /dev/null
+++ b/test/euler/merging/sim.err.ref
@@ -0,0 +1,4 @@
+6 2.581e-02 4.400e-01
+7 1.084e-02 1.888e-01
+8 3.357e-03 4.862e-02
+9 2.073e-03 2.560e-02
diff --git a/test/euler/merging/simc.err.ref b/test/euler/merging/simc.err.ref
new file mode 100644
index 0000000..a8d83b7
--- /dev/null
+++ b/test/euler/merging/simc.err.ref
@@ -0,0 +1,4 @@
+6 2.599e-02 4.470e-01
+7 1.043e-02 1.861e-01
+8 2.674e-03 4.852e-02
+9 6.892e-04 1.322e-02
diff --git a/doc/examples/boussinesq/boussinesq.gfv b/test/euler/merging/vorticity.gfv
similarity index 55%
copy from doc/examples/boussinesq/boussinesq.gfv
copy to test/euler/merging/vorticity.gfv
index 2d4657f..475e5ac 100644
--- a/doc/examples/boussinesq/boussinesq.gfv
+++ b/test/euler/merging/vorticity.gfv
@@ -1,22 +1,27 @@
# GfsView 2D
View {
- tx = -0.00447772 ty = -0.419694
+ tx = 0 ty = 0
q0 = 0 q1 = 0 q2 = 0 q3 = 1
- zoom = -21.0352
+ zoom = -11.6434
r = 0.3 g = 0.4 b = 0.6
res = 1
lc = 0.001
reactivity = 0.1
}
-Linear {
+Isoline {
r = 0 g = 0 b = 0
shading = Constant
maxlevel = 8
} {
- v = T
- amin = 0 min = 1.9696e-19
- amax = 0 max = 1
+ v = Vorticity
+ amin = 1
+ amax = 1
cmap = Jet
} {
- scale = 0
+ n = 17
+}
+Boundaries {
+ r = 0 g = 0 b = 0
+ shading = Constant
+ maxlevel = 8
}
diff --git a/test/euler/periodic/periodic.sh b/test/euler/periodic/periodic.sh
index e73d07c..64b91f5 100644
--- a/test/euler/periodic/periodic.sh
+++ b/test/euler/periodic/periodic.sh
@@ -25,33 +25,37 @@ 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):
+def order(r,color='black'):
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 '& {\color{%s}%.2e} & {\color{%s}%4.2f}' % (color, y0, color, log(y0/y1)/log(2.)),
+ print '& {\color{%s}%.2e}' % (color, r.l[i+1][1]), r'\\\'
print 'Uniform',
-order(Curve('r0',1,2),Curve('r0.ref',1,2))
+order(Curve('r0',1,2))
+order(Curve('r0.ref',1,2),'blue')
print '\$r=1\$',
-order(Curve('r1',1,2),Curve('r1.ref',1,2))
+order(Curve('r1',1,2))
+order(Curve('r1.ref',1,2),'blue')
print '\$r=2\$',
-order(Curve('r2',1,2),Curve('r2.ref',1,2))
+order(Curve('r2',1,2))
+order(Curve('r2.ref',1,2),'blue')
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))
+order(Curve('r0',1,3))
+order(Curve('r0.ref',1,3),'blue')
print '\$r=1\$',
-order(Curve('r1',1,3),Curve('r1.ref',1,3))
+order(Curve('r1',1,3))
+order(Curve('r1.ref',1,3),'blue')
print '\$r=2\$',
-order(Curve('r2',1,3),Curve('r2.ref',1,3))
+order(Curve('r2',1,3))
+order(Curve('r2.ref',1,3),'blue')
-print r'\end{tabular}'
+print r"\hline\end{tabular}"
EOF
else
exit 1
diff --git a/test/euler/reference2D/merging.xmgr b/test/euler/reference2D/merging.xmgr
deleted file mode 100644
index 5b2a132..0000000
--- a/test/euler/reference2D/merging.xmgr
+++ /dev/null
@@ -1,2012 +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 "merging.sh"
- 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 04:38:48 2002"
- at with g0
- at g0 on
- at g0 label off
- at g0 hidden false
- at g0 type logy
- 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 4
-@ world ymin 1e-07
-@ world ymax 0.01
-@ 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
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-@ s0 linewidth 1
-@ s0 color 1
-@ s0 fill 0
-@ s0 fill with color
-@ s0 fill color 1
-@ s0 fill pattern 0
-@ s0 errorbar type BOTH
-@ 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 3
-@ s1 symbol size 0.440000
-@ s1 symbol fill 2
-@ s1 symbol color 1
-@ s1 symbol linewidth 1
-@ s1 symbol linestyle 1
-@ s1 symbol center false
-@ s1 symbol char 0
-@ s1 skip 0
-@ s1 linestyle 1
-@ s1 linewidth 1
-@ s1 color 1
-@ s1 fill 0
-@ s1 fill with color
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-@ s1 fill pattern 0
-@ s1 errorbar type BOTH
-@ s1 errorbar length 1.000000
-@ s1 errorbar 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"
-@ s2 symbol 5
-@ s2 symbol size 0.340000
-@ s2 symbol fill 2
-@ s2 symbol color 1
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-@ s2 fill with color
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-@ s2 errorbar length 1.000000
-@ s2 errorbar linewidth 1
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-@ s2 errorbar riser on
-@ s2 errorbar riser linewidth 1
-@ s2 errorbar riser linestyle 1
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-@ s2 comment "reference/time.xmgr"
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-@ s3 symbol size 0.340000
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-@ s3 fill with color
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-@ s3 errorbar riser on
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-@ s3 comment "/tmp/toto.xmgr"
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-@ s4 fill with color
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-@ s4 errorbar linewidth 1
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-@ s4 errorbar riser on
-@ s4 errorbar riser linewidth 1
-@ s4 errorbar riser linestyle 1
-@ s4 xyz 0.000000, 0.000000
-@ s4 comment "/tmp/toto.xmgr"
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-@ s5 symbol size 0.340000
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- 0.2 5.66345e-06
- 0.4 6.68939e-06
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- 0.8 1.0236e-05
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-&
- at TARGET S1
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- 0.6 1.12254e-05
- 0.8 1.52191e-05
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-&
- at TARGET S2
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-&
- at TARGET S3
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-&
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-&
- at TARGET S5
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- at WITH G2
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-&
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-&
- at TARGET S2
- at TYPE xy
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-&
- at WITH G3
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-&
- at TARGET S1
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-&
- at TARGET S2
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- 4 1.73332
-&
diff --git a/test/euler/reference2D/merging_convective.xmgr b/test/euler/reference2D/merging_convective.xmgr
deleted file mode 100644
index f6cac53..0000000
--- a/test/euler/reference2D/merging_convective.xmgr
+++ /dev/null
@@ -1,2012 +0,0 @@
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-@ view xmax 0.950000
-@ view ymin 0.575000
-@ view ymax 0.950000
-@ title ""
-@ title font 4
-@ title size 1.500000
-@ title color 1
-@ title linewidth 1
-@ subtitle ""
-@ subtitle font 4
-@ subtitle size 1.000000
-@ subtitle color 1
-@ subtitle linewidth 1
-@ s0 symbol 2
-@ s0 symbol size 0.340000
-@ s0 symbol fill 2
-@ s0 symbol color 1
-@ s0 symbol linewidth 1
-@ s0 symbol linestyle 1
-@ s0 symbol center false
-@ s0 symbol char 0
-@ s0 skip 0
-@ s0 linestyle 1
-@ s0 linewidth 1
-@ s0 color 1
-@ s0 fill 0
-@ s0 fill with color
-@ s0 fill color 1
-@ s0 fill pattern 0
-@ s0 errorbar type BOTH
-@ 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.xmgr"
-@ s1 symbol 3
-@ s1 symbol size 0.440000
-@ s1 symbol fill 1
-@ s1 symbol color 1
-@ s1 symbol linewidth 1
-@ s1 symbol linestyle 1
-@ s1 symbol center false
-@ s1 symbol char 0
-@ s1 skip 0
-@ s1 linestyle 1
-@ s1 linewidth 1
-@ s1 color 1
-@ s1 fill 0
-@ s1 fill with color
-@ s1 fill color 1
-@ s1 fill pattern 0
-@ s1 errorbar type BOTH
-@ s1 errorbar length 1.000000
-@ s1 errorbar linewidth 1
-@ s1 errorbar linestyle 1
-@ s1 errorbar riser on
-@ s1 errorbar riser linewidth 1
-@ s1 errorbar riser linestyle 1
-@ s1 xyz 0.000000, 0.000000
-@ s1 comment "/tmp/toto.xmgr"
-@ s2 symbol 5
-@ s2 symbol size 0.340000
-@ s2 symbol fill 2
-@ s2 symbol color 1
-@ s2 symbol linewidth 1
-@ s2 symbol linestyle 1
-@ s2 symbol center false
-@ s2 symbol char 0
-@ s2 skip 0
-@ s2 linestyle 1
-@ s2 linewidth 1
-@ s2 color 1
-@ s2 fill 0
-@ s2 fill with color
-@ s2 fill color 1
-@ s2 fill pattern 0
-@ s2 errorbar type BOTH
-@ s2 errorbar length 1.000000
-@ s2 errorbar linewidth 1
-@ s2 errorbar linestyle 1
-@ s2 errorbar riser on
-@ s2 errorbar riser linewidth 1
-@ s2 errorbar riser linestyle 1
-@ s2 xyz 0.000000, 0.000000
-@ s2 comment "/tmp/toto.xmgr"
-@ xaxis tick on
-@ xaxis tick major 1
-@ xaxis tick minor 0.5
-@ xaxis tick offsetx 0.000000
-@ xaxis tick offsety 0.000000
-@ xaxis label "Time"
-@ xaxis label layout para
-@ xaxis label place auto
-@ xaxis label char size 0.600000
-@ xaxis label font 4
-@ xaxis label color 1
-@ xaxis label linewidth 1
-@ xaxis ticklabel on
-@ xaxis ticklabel type auto
-@ xaxis ticklabel prec 5
-@ 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
-@ xaxis ticklabel char size 0.600000
-@ 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 1
-@ yaxis tick minor 0.5
-@ yaxis tick offsetx 0.000000
-@ yaxis tick offsety 0.000000
-@ yaxis label "Refined order"
-@ yaxis label layout para
-@ yaxis label place auto
-@ yaxis label char size 0.600000
-@ yaxis label font 4
-@ yaxis label color 1
-@ yaxis label linewidth 1
-@ yaxis ticklabel on
-@ yaxis ticklabel type auto
-@ yaxis ticklabel prec 3
-@ yaxis ticklabel format general
-@ yaxis ticklabel append ""
-@ yaxis ticklabel prepend ""
-@ yaxis ticklabel layout horizontal
-@ yaxis ticklabel place on ticks
-@ yaxis ticklabel skip 0
-@ yaxis ticklabel stagger 0
-@ yaxis ticklabel op left
-@ yaxis ticklabel sign normal
-@ yaxis ticklabel start type auto
-@ yaxis ticklabel start 0.000000
-@ yaxis ticklabel stop type auto
-@ yaxis ticklabel stop 0.000000
-@ yaxis ticklabel char size 0.600000
-@ yaxis ticklabel font 4
-@ yaxis ticklabel color 1
-@ yaxis ticklabel linewidth 1
-@ yaxis tick major on
-@ yaxis tick minor on
-@ yaxis tick default 6
-@ yaxis tick in
-@ yaxis tick major color 1
-@ yaxis tick major linewidth 1
-@ yaxis tick major linestyle 1
-@ yaxis tick minor color 1
-@ yaxis tick minor linewidth 1
-@ yaxis tick minor linestyle 1
-@ yaxis tick log off
-@ yaxis tick size 1.000000
-@ yaxis tick minor size 0.500000
-@ yaxis bar off
-@ yaxis bar color 1
-@ yaxis bar linestyle 1
-@ yaxis bar linewidth 1
-@ yaxis tick major grid off
-@ yaxis tick minor grid off
-@ yaxis tick op both
-@ yaxis tick type auto
-@ yaxis tick spec 0
-@ zeroxaxis tick on
-@ zeroxaxis tick major 1
-@ zeroxaxis tick minor 0.5
-@ zeroxaxis tick offsetx 0.000000
-@ zeroxaxis tick offsety 0.000000
-@ zeroxaxis label ""
-@ zeroxaxis label layout para
-@ zeroxaxis label place auto
-@ zeroxaxis label char size 1.000000
-@ zeroxaxis label font 4
-@ zeroxaxis label color 1
-@ zeroxaxis label linewidth 1
-@ zeroxaxis ticklabel off
-@ zeroxaxis ticklabel type auto
-@ 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
-@ zeroxaxis ticklabel stop type auto
-@ zeroxaxis ticklabel stop 0.000000
-@ zeroxaxis ticklabel char size 0.610000
-@ zeroxaxis ticklabel font 4
-@ zeroxaxis ticklabel color 1
-@ zeroxaxis ticklabel linewidth 1
-@ zeroxaxis tick major off
-@ zeroxaxis tick minor on
-@ zeroxaxis tick default 6
-@ zeroxaxis tick in
-@ zeroxaxis tick major color 1
-@ zeroxaxis tick major linewidth 1
-@ zeroxaxis tick major linestyle 1
-@ zeroxaxis tick minor color 1
-@ zeroxaxis tick minor linewidth 1
-@ zeroxaxis tick minor linestyle 1
-@ zeroxaxis tick log off
-@ zeroxaxis tick size 1.000000
-@ zeroxaxis tick minor size 0.500000
-@ zeroxaxis bar off
-@ zeroxaxis bar color 1
-@ zeroxaxis bar linestyle 1
-@ zeroxaxis bar linewidth 1
-@ zeroxaxis tick major grid off
-@ zeroxaxis tick minor grid off
-@ zeroxaxis tick op both
-@ zeroxaxis tick type auto
-@ zeroxaxis tick spec 0
-@ zeroyaxis tick on
-@ zeroyaxis tick major 0.2
-@ zeroyaxis tick minor 0.1
-@ zeroyaxis tick offsetx 0.000000
-@ zeroyaxis tick offsety 0.000000
-@ zeroyaxis label ""
-@ zeroyaxis label layout para
-@ zeroyaxis label place auto
-@ zeroyaxis label char size 1.000000
-@ zeroyaxis label font 4
-@ zeroyaxis label color 1
-@ zeroyaxis label linewidth 1
-@ zeroyaxis ticklabel off
-@ zeroyaxis ticklabel type auto
-@ zeroyaxis ticklabel prec 2
-@ zeroyaxis ticklabel format decimal
-@ zeroyaxis ticklabel append ""
-@ zeroyaxis ticklabel prepend ""
-@ 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
-@ zeroyaxis ticklabel stop type auto
-@ zeroyaxis ticklabel stop 0.000000
-@ zeroyaxis ticklabel char size 0.610000
-@ zeroyaxis ticklabel font 4
-@ zeroyaxis ticklabel color 1
-@ zeroyaxis ticklabel linewidth 1
-@ zeroyaxis tick major off
-@ zeroyaxis tick minor on
-@ zeroyaxis tick default 6
-@ zeroyaxis tick in
-@ zeroyaxis tick major color 1
-@ zeroyaxis tick major linewidth 1
-@ zeroyaxis tick major linestyle 1
-@ zeroyaxis tick minor color 1
-@ zeroyaxis tick minor linewidth 1
-@ zeroyaxis tick minor linestyle 1
-@ zeroyaxis tick log off
-@ zeroyaxis tick size 1.000000
-@ zeroyaxis tick minor size 0.500000
-@ zeroyaxis bar off
-@ zeroyaxis bar color 1
-@ zeroyaxis bar linestyle 1
-@ zeroyaxis bar linewidth 1
-@ zeroyaxis tick major grid off
-@ zeroyaxis tick minor grid off
-@ zeroyaxis tick op both
-@ zeroyaxis tick type auto
-@ zeroyaxis tick spec 0
-@ legend on
-@ legend loctype view
-@ legend layout 0
-@ legend vgap 2
-@ legend hgap 1
-@ legend length 4
-@ legend box off
-@ legend box fill off
-@ legend box fill with color
-@ legend box fill color 0
-@ legend box fill pattern 1
-@ legend box color 1
-@ legend box linewidth 1
-@ legend box linestyle 1
-@ legend x1 0.61
-@ legend y1 0.75
-@ legend font 4
-@ legend char size 0.450000
-@ legend linestyle 1
-@ legend linewidth 1
-@ legend color 1
-@ legend string 0 "L1 norm"
-@ legend string 1 "L2 norm"
-@ legend string 2 "Lmax norm"
-@ frame on
-@ frame type 0
-@ frame linestyle 1
-@ frame linewidth 1
-@ frame color 1
-@ frame fill off
-@ frame background color 0
- at WITH G0
- at G0 ON
- at TARGET S0
- at TYPE xy
- 0.2 2.24464e-06
- 0.4 2.54715e-06
- 0.6 2.91755e-06
- 0.8 3.40125e-06
- 1 4.2403e-06
- 1.2 5.10047e-06
- 1.4 5.87334e-06
- 1.6 6.61043e-06
- 1.8 7.47984e-06
- 2 8.56823e-06
- 2.2 9.95289e-06
- 2.4 1.11785e-05
- 2.6 1.2046e-05
- 2.8 1.20422e-05
- 3 1.16794e-05
- 3.2 1.25275e-05
- 3.4 1.37091e-05
- 3.6 1.48164e-05
- 3.8 1.58382e-05
- 4 1.6839e-05
-&
- at TARGET S1
- at TYPE xy
- 0.2 4.37876e-06
- 0.4 5.0728e-06
- 0.6 6.03474e-06
- 0.8 7.96343e-06
- 1 1.08944e-05
- 1.2 1.41565e-05
- 1.4 1.75026e-05
- 1.6 2.09852e-05
- 1.8 2.47036e-05
- 2 2.92038e-05
- 2.2 3.40377e-05
- 2.4 3.77604e-05
- 2.6 3.91316e-05
- 2.8 3.81071e-05
- 3 3.67982e-05
- 3.2 3.81211e-05
- 3.4 4.24514e-05
- 3.6 4.99035e-05
- 3.8 5.82658e-05
- 4 6.66357e-05
-&
- at TARGET S2
- at TYPE xy
- 0.2 4.225e-05
- 0.4 3.8625e-05
- 0.6 4.41e-05
- 0.8 6.57025e-05
- 1 9.905e-05
- 1.2 0.0001482
- 1.4 0.00019985
- 1.6 0.00024995
- 1.8 0.000314782
- 2 0.00038361
- 2.2 0.000433415
- 2.4 0.000452425
- 2.6 0.000494435
- 2.8 0.000538525
- 3 0.0005035
- 3.2 0.00046455
- 3.4 0.000371362
- 3.6 0.000539503
- 3.8 0.00080345
- 4 0.0009609
-&
- at TARGET S3
- at TYPE xy
- 0.2 8.8695e-07
- 0.4 1.02507e-06
- 0.6 1.22693e-06
- 0.8 1.21179e-06
- 1 1.49837e-06
- 1.2 1.77233e-06
- 1.4 1.98568e-06
- 1.6 2.18414e-06
- 1.8 2.43879e-06
- 2 2.84009e-06
- 2.2 3.32623e-06
- 2.4 3.83008e-06
- 2.6 4.14927e-06
- 2.8 4.16516e-06
- 3 4.06948e-06
- 3.2 4.29842e-06
- 3.4 4.8195e-06
- 3.6 5.33456e-06
- 3.8 5.80838e-06
- 4 6.28809e-06
-&
- at TARGET S4
- at TYPE xy
- 0.2 1.57713e-06
- 0.4 1.7267e-06
- 0.6 2.00169e-06
- 0.8 2.31854e-06
- 1 3.02487e-06
- 1.2 3.74607e-06
- 1.4 4.43252e-06
- 1.6 5.16051e-06
- 1.8 5.97997e-06
- 2 7.40811e-06
- 2.2 9.31699e-06
- 2.4 1.09978e-05
- 2.6 1.19604e-05
- 2.8 1.18675e-05
- 3 1.16384e-05
- 3.2 1.1768e-05
- 3.4 1.2692e-05
- 3.6 1.47481e-05
- 3.8 1.74792e-05
- 4 2.04936e-05
-&
- at TARGET S5
- at TYPE xy
- 0.2 2.3925e-05
- 0.4 2.03e-05
- 0.6 1.51e-05
- 0.8 1.6155e-05
- 1 2.1875e-05
- 1.2 2.9525e-05
- 1.4 4.15e-05
- 1.6 5.3475e-05
- 1.8 6.6005e-05
- 2 8.4585e-05
- 2.2 0.00010431
- 2.4 0.000122588
- 2.6 0.000147342
- 2.8 0.000155937
- 3 0.000165425
- 3.2 0.000160975
- 3.4 0.0001336
- 3.6 0.00018231
- 3.8 0.000211562
- 4 0.00028432
-&
- at WITH G1
- at G1 ON
- at TARGET S0
- at TYPE xy
- 0.2 5.76335e-06
- 0.4 6.89323e-06
- 0.6 8.23469e-06
- 0.8 1.06251e-05
- 1 1.39928e-05
- 1.2 1.74256e-05
- 1.4 2.04866e-05
- 1.6 2.34152e-05
- 1.8 2.69165e-05
- 2 3.14178e-05
- 2.2 3.71661e-05
- 2.4 4.21991e-05
- 2.6 4.57699e-05
- 2.8 4.58114e-05
- 3 4.44101e-05
- 3.2 4.82042e-05
- 3.4 5.34525e-05
- 3.6 5.83842e-05
- 3.8 6.28809e-05
- 4 6.71901e-05
-&
- at TARGET S1
- at TYPE xy
- 0.2 7.78799e-06
- 0.4 9.51129e-06
- 0.6 1.16778e-05
- 0.8 1.58834e-05
- 1 2.20538e-05
- 1.2 2.88549e-05
- 1.4 3.58017e-05
- 1.6 4.30202e-05
- 1.8 5.0717e-05
- 2 6.00272e-05
- 2.2 7.00221e-05
- 2.4 7.77165e-05
- 2.6 8.05484e-05
- 2.8 7.8432e-05
- 3 7.57357e-05
- 3.2 7.84942e-05
- 3.4 8.74741e-05
- 3.6 0.000102897
- 3.8 0.000120185
- 4 0.000137477
-&
- at TARGET S2
- at TYPE xy
- 0.2 3.1144e-05
- 0.4 3.78525e-05
- 0.6 4.41e-05
- 0.8 6.57025e-05
- 1 9.905e-05
- 1.2 0.0001482
- 1.4 0.00019985
- 1.6 0.00024995
- 1.8 0.000314782
- 2 0.00038361
- 2.2 0.000433415
- 2.4 0.000452425
- 2.6 0.000494435
- 2.8 0.000538525
- 3 0.0005035
- 3.2 0.00046455
- 3.4 0.000371362
- 3.6 0.000539503
- 3.8 0.00080345
- 4 0.0009609
-&
- at TARGET S3
- at TYPE xy
- 0.2 1.4083e-06
- 0.4 1.66226e-06
- 0.6 2.0745e-06
- 0.8 2.40641e-06
- 1 3.10927e-06
- 1.2 3.78323e-06
- 1.4 4.30519e-06
- 1.6 4.78125e-06
- 1.8 5.41833e-06
- 2 6.43568e-06
- 2.2 7.66682e-06
- 2.4 8.94068e-06
- 2.6 9.76742e-06
- 2.8 9.80112e-06
- 3 9.56216e-06
- 3.2 1.01777e-05
- 3.4 1.1569e-05
- 3.6 1.2954e-05
- 3.8 1.42209e-05
- 4 1.54715e-05
-&
- at TARGET S4
- at TYPE xy
- 0.2 1.95389e-06
- 0.4 2.31717e-06
- 0.6 2.8443e-06
- 0.8 3.54121e-06
- 1 4.73713e-06
- 1.2 5.93199e-06
- 1.4 7.05919e-06
- 1.6 8.24821e-06
- 1.8 9.58377e-06
- 2 1.19058e-05
- 2.2 1.50031e-05
- 2.4 1.77269e-05
- 2.6 1.92866e-05
- 2.8 1.91363e-05
- 3 1.87665e-05
- 3.2 1.89786e-05
- 3.4 2.04785e-05
- 3.6 2.38106e-05
- 3.8 2.82326e-05
- 4 3.31103e-05
-&
- at TARGET S5
- at TYPE xy
- 0.2 1.25e-05
- 0.4 1.41e-05
- 0.6 1.27e-05
- 0.8 1.6155e-05
- 1 2.1875e-05
- 1.2 2.9525e-05
- 1.4 4.15e-05
- 1.6 5.3475e-05
- 1.8 6.6005e-05
- 2 8.4585e-05
- 2.2 0.00010431
- 2.4 0.000122588
- 2.6 0.000147342
- 2.8 0.000155937
- 3 0.000165425
- 3.2 0.000160975
- 3.4 0.0001336
- 3.6 0.00018231
- 3.8 0.000211562
- 4 0.00028432
-&
- at WITH G2
- at G2 ON
- at TARGET S0
- at TYPE xy
- 0.2 1.33956
- 0.4 1.31316
- 0.6 1.2497
- 0.8 1.48893
- 1 1.50077
- 1.2 1.52498
- 1.4 1.56455
- 1.6 1.59768
- 1.8 1.61684
- 2 1.59306
- 2.2 1.58123
- 2.4 1.54528
- 2.6 1.53762
- 2.8 1.53166
- 3 1.52105
- 3.2 1.54322
- 3.4 1.50818
- 3.6 1.47375
- 3.8 1.4472
- 4 1.42111
-&
- at TARGET S1
- at TYPE xy
- 0.2 1.47322
- 0.4 1.55476
- 0.6 1.59207
- 0.8 1.78017
- 1 1.84864
- 1.2 1.91801
- 1.4 1.98137
- 1.6 2.02379
- 1.8 2.04651
- 2 1.97898
- 2.2 1.8692
- 2.4 1.77966
- 2.6 1.71007
- 2.8 1.68304
- 3 1.66074
- 3.2 1.69572
- 3.4 1.74189
- 3.6 1.75861
- 3.8 1.73701
- 4 1.70112
-&
- at TARGET S2
- at TYPE xy
- 0.2 0.820432
- 0.4 0.928055
- 0.6 1.54623
- 0.8 2.02397
- 1 2.17887
- 1.2 2.32754
- 1.4 2.26773
- 1.6 2.2247
- 1.8 2.25371
- 2 2.18117
- 2.2 2.05487
- 2.4 1.88386
- 2.6 1.74661
- 2.8 1.78805
- 3 1.60581
- 3.2 1.529
- 3.4 1.47491
- 3.6 1.56524
- 3.8 1.92513
- 4 1.75687
-&
- at WITH G3
- at G3 ON
- at TARGET S0
- at TYPE xy
- 0.2 2.03295
- 0.4 2.05203
- 0.6 1.98895
- 0.8 2.14252
- 1 2.17004
- 1.2 2.20352
- 1.4 2.25053
- 1.6 2.29199
- 1.8 2.31257
- 2 2.28742
- 2.2 2.27729
- 2.4 2.23876
- 2.6 2.22835
- 2.8 2.22469
- 3 2.21548
- 3.2 2.24375
- 3.4 2.20799
- 3.6 2.17218
- 3.8 2.14461
- 4 2.11864
-&
- at TARGET S1
- at TYPE xy
- 0.2 1.9949
- 0.4 2.03728
- 0.6 2.03762
- 0.8 2.16521
- 1 2.21894
- 1.2 2.28223
- 1.4 2.34245
- 1.6 2.38286
- 1.8 2.4038
- 2 2.33395
- 2.2 2.22255
- 2.4 2.13228
- 2.6 2.06226
- 2.8 2.03513
- 3 2.01281
- 3.2 2.04821
- 3.4 2.09475
- 3.6 2.11153
- 3.8 2.08982
- 4 2.05384
-&
- at TARGET S2
- at TYPE xy
- 0.2 1.31703
- 0.4 1.42469
- 0.6 1.79595
- 0.8 2.02397
- 1 2.17887
- 1.2 2.32754
- 1.4 2.26773
- 1.6 2.2247
- 1.8 2.25371
- 2 2.18117
- 2.2 2.05487
- 2.4 1.88386
- 2.6 1.74661
- 2.8 1.78805
- 3 1.60581
- 3.2 1.529
- 3.4 1.47491
- 3.6 1.56524
- 3.8 1.92513
- 4 1.75687
-&
diff --git a/test/euler/scripts/merging.sh b/test/euler/scripts/merging.sh
deleted file mode 100755
index 5f40563..0000000
--- a/test/euler/scripts/merging.sh
+++ /dev/null
@@ -1,275 +0,0 @@
-#! /bin/sh
-
-usage()
-{
- cat <<EOF
-Usage: merging.sh [OPTIONS]
-Options:
- [--convective]
-EOF
- exit $1
-}
-
-while test $# -gt 0; do
- case "$1" in
- -*=*) optarg=`echo "$1" | sed 's/[-_a-zA-Z0-9]*=//'` ;;
- *) optarg= ;;
- esac
-
- case $1 in
- --convective)
- convective="AdvectionParams {
- flux = gfs_face_velocity_convective_flux
- }"
- ;;
- --*)
- usage 1 1>&2
- ;;
- esac
- shift
-done
-
-if test -e merging; then
- rm -r -f merging
-fi
-mkdir merging
-mkdir merging/run1
-mkdir merging/run2
-mkdir merging/run3
-
-tmax=4.0
-cd merging/run1
-cat <<EOF > merging.gfs
-1 0 GfsSimulation GfsBox GfsGEdge {} {
- Time { end = $tmax }
- $convective
- Refine {
- double r = sqrt (x*x + y*y);
- return r < 0.03125 ? 10 : r < 0.0625 ? 9 : r < 0.125 ? 8 : r < 0.25 ? 7 : 6;
- }
- InitVorticity {} {
- double gaussian (double xo, double yo, double scale) {
- return 2.*M_PI*exp (- 2.*((x - xo)*(x - xo) + (y - yo)*(y - yo))/(scale*scale));
- }
- return gaussian (0, 0.01, 0.01) + gaussian (0, -0.01, 0.01);
- }
- OutputTime { istep = 1 } stdout
- OutputScalarNorm { istep = 1 } stdout { v = Divergence }
- OutputProjectionStats { istep = 1 } stdout
- OutputSimulation { step = 0.2 } sim-%3.1f {}
- OutputTiming { start = end } stdout
-}
-GfsBox {}
-EOF
-gerris2D merging.gfs > log
-
-cd ../run2
-cat <<EOF > merging.gfs
-1 0 GfsSimulation GfsBox GfsGEdge {} {
- Time { end = $tmax }
- $convective
- Refine {
- double r = sqrt (x*x + y*y);
- return r < 0.03125 ? 11 : r < 0.0625 ? 10 : r < 0.09375 ? 9 : r < 0.125 ? 8 : r < 0.25 ? 7 : 6;
- }
- InitVorticity {} {
- double gaussian (double xo, double yo, double scale) {
- return 2.*M_PI*exp (- 2.*((x - xo)*(x - xo) + (y - yo)*(y - yo))/(scale*scale));
- }
- return gaussian (0, 0.01, 0.01) + gaussian (0, -0.01, 0.01);
- }
- OutputTime { istep = 1 } stdout
- OutputScalarNorm { istep = 1 } stdout { v = Divergence }
- OutputProjectionStats { istep = 1 } stdout
- OutputSimulation { step = 0.2 } sim-%3.1f {}
- OutputTiming { start = end } stdout
-}
-GfsBox {}
-EOF
-gerris2D merging.gfs > log
-
-cd ../run3
-cat <<EOF > merging.gfs
-1 0 GfsSimulation GfsBox GfsGEdge {} {
- Time { end = $tmax }
- $convective
- Refine {
- double r = sqrt (x*x + y*y);
- return r < 0.03125 ? 12 : r < 0.046875 ? 11 : r < 0.0625 ? 10 : r < 0.09375 ? 9 : r < 0.125 ? 8 : r < 0.25 ? 7 : 6;
- }
- InitVorticity {} {
- double gaussian (double xo, double yo, double scale) {
- return 2.*M_PI*exp (- 2.*((x - xo)*(x - xo) + (y - yo)*(y - yo))/(scale*scale));
- }
- return gaussian (0, 0.01, 0.01) + gaussian (0, -0.01, 0.01);
- }
- OutputTime { istep = 1 } stdout
- OutputScalarNorm { istep = 1 } stdout { v = Divergence }
- OutputProjectionStats { istep = 1 } stdout
- OutputSimulation { step = 0.2 } sim-%3.1f {}
- OutputTiming { start = end } stdout
-}
-GfsBox {}
-EOF
-gerris2D merging.gfs > log
-cd ..
-
-uerror=`mktemp /tmp/uerror.XXXXXX`
-for time in `seq 0.2 0.2 $tmax`; do
- formatted=`echo $time | awk '{printf ("%3.1f", $1);}'`
- run1=`gfscompare2D -r -n -v run1/sim-$formatted run2/sim-$formatted U 2>&1 | awk '{ if ($2 == "err") printf ("%g %g %g ", $4, $6, $8);}'`
- run1="$run1 `gfscompare2D -r -n -v run2/sim-$formatted run3/sim-$formatted U 2>&1 | awk '{ if ($2 == "err") printf (\"%g %g %g \", $4, $6, $8); }'`"
- echo $time $run1 >> $uerror
-done
-
-echo "@description \"merging.sh\""
-
-echo "@WITH G0"
-echo "@G0 ON"
-echo "@G0 TYPE logy"
-echo "@XAXIS LABEL \"Time\""
-echo "@xaxis label char size 0.6"
-echo "@xaxis ticklabel char size 0.6"
-echo "@YAXIS LABEL \"Total error\""
-echo "@yaxis label char size 0.6"
-echo "@yaxis ticklabel char size 0.6"
-
-echo "@LEGEND STRING 0 \"L1 norm (run1)\""
-echo "@TARGET S0"
-echo "@TYPE xy"
-awk '{print $1 " " $2}' < $uerror
-echo "&"
-
-echo "@LEGEND STRING 1 \"L2 norm (run1)\""
-echo "@TARGET S1"
-echo "@TYPE xy"
-awk '{print $1 " " $3}' < $uerror
-echo "&"
-
-echo "@LEGEND STRING 2 \"Lmax norm (run1)\""
-echo "@TARGET S2"
-echo "@TYPE xy"
-awk '{print $1 " " $4}' < $uerror
-echo "&"
-
-echo "@LEGEND STRING 3 \"L1 norm (run2)\""
-echo "@TARGET S3"
-echo "@TYPE xy"
-awk '{print $1 " " $8}' < $uerror
-echo "&"
-
-echo "@LEGEND STRING 4 \"L2 norm (run2)\""
-echo "@TARGET S4"
-echo "@TYPE xy"
-awk '{print $1 " " $9}' < $uerror
-echo "&"
-
-echo "@LEGEND STRING 5 \"Lmax norm (run2)\""
-echo "@TARGET S5"
-echo "@TYPE xy"
-awk '{print $1 " " $10}' < $uerror
-echo "&"
-
-echo "@WITH G1"
-echo "@G1 ON"
-echo "@G1 TYPE logy"
-echo "@XAXIS LABEL \"Time\""
-echo "@xaxis label char size 0.6"
-echo "@xaxis ticklabel char size 0.6"
-echo "@YAXIS LABEL \"Refined error\""
-echo "@yaxis label char size 0.6"
-echo "@yaxis ticklabel char size 0.6"
-
-echo "@LEGEND STRING 0 \"L1 norm (run1)\""
-echo "@TARGET S0"
-echo "@TYPE xy"
-awk '{print $1 " " $5}' < $uerror
-echo "&"
-
-echo "@LEGEND STRING 1 \"L2 norm (run1)\""
-echo "@TARGET S1"
-echo "@TYPE xy"
-awk '{print $1 " " $6}' < $uerror
-echo "&"
-
-echo "@LEGEND STRING 2 \"Lmax norm (run1)\""
-echo "@TARGET S2"
-echo "@TYPE xy"
-awk '{print $1 " " $7}' < $uerror
-echo "&"
-
-echo "@LEGEND STRING 3 \"L1 norm (run2)\""
-echo "@TARGET S3"
-echo "@TYPE xy"
-awk '{print $1 " " $11}' < $uerror
-echo "&"
-
-echo "@LEGEND STRING 4 \"L2 norm (run2)\""
-echo "@TARGET S4"
-echo "@TYPE xy"
-awk '{print $1 " " $12}' < $uerror
-echo "&"
-
-echo "@LEGEND STRING 5 \"Lmax norm (run2)\""
-echo "@TARGET S5"
-echo "@TYPE xy"
-awk '{print $1 " " $13}' < $uerror
-echo "&"
-
-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 \"Total order\""
-echo "@yaxis label char size 0.6"
-echo "@yaxis ticklabel char size 0.6"
-
-echo "@LEGEND STRING 0 \"L1 norm\""
-echo "@TARGET S0"
-echo "@TYPE xy"
-awk '{print $1 " " log($2/$8)/log(2)}' < $uerror
-echo "&"
-
-echo "@LEGEND STRING 1 \"L2 norm\""
-echo "@TARGET S1"
-echo "@TYPE xy"
-awk '{print $1 " " log($3/$9)/log(2)}' < $uerror
-echo "&"
-
-echo "@LEGEND STRING 2 \"Lmax norm\""
-echo "@TARGET S2"
-echo "@TYPE xy"
-awk '{print $1 " " log($4/$10)/log(2)}' < $uerror
-echo "&"
-
-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 \"Refined order\""
-echo "@yaxis label char size 0.6"
-echo "@yaxis ticklabel char size 0.6"
-
-echo "@LEGEND STRING 0 \"L1 norm\""
-echo "@TARGET S0"
-echo "@TYPE xy"
-awk '{print $1 " " log($5/$11)/log(2)}' < $uerror
-echo "&"
-
-echo "@LEGEND STRING 1 \"L2 norm\""
-echo "@TARGET S1"
-echo "@TYPE xy"
-awk '{print $1 " " log($6/$12)/log(2)}' < $uerror
-echo "&"
-
-echo "@LEGEND STRING 2 \"Lmax norm\""
-echo "@TARGET S2"
-echo "@TYPE xy"
-awk '{print $1 " " log($7/$13)/log(2)}' < $uerror
-echo "&"
-
-rm -f $uerror
diff --git a/test/euler/template.tex b/test/euler/template.tex
index 8e1aa5c..6238165 100644
--- a/test/euler/template.tex
+++ b/test/euler/template.tex
@@ -25,6 +25,7 @@
\input{reynolds/reynolds.tex}
\input{reynolds/box/box.tex}
\input{periodic/periodic.tex}
+\input{merging/merging.tex}
\bibliographystyle{plain}
\bibliography{tests}
--
Gerris Flow Solver
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