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

Stephane Popinet popinet at users.sf.net
Fri May 15 02:54:21 UTC 2009


The following commit has been merged in the upstream branch:
commit 8dc20845837b8ff649f866d1774400c52270476a
Author: Stephane Popinet <popinet at users.sf.net>
Date:   Tue Apr 24 17:09:50 2007 +1000

    Moved 'shear' example to test cases
    
    darcs-hash:20070424070950-d4795-d6c644626dea2908c8b3e1a3d44656ffcc72275a.gz

diff --git a/doc/examples/Makefile.am b/doc/examples/Makefile.am
index 0309f77..5593758 100644
--- a/doc/examples/Makefile.am
+++ b/doc/examples/Makefile.am
@@ -2,7 +2,6 @@
 
 EXAMPLES = \
 	cylinder \
-	shear \
 	rt \
 	boussinesq \
 	tangaroa \
diff --git a/doc/examples/shear/circle.gts b/doc/examples/shear/circle.gts
deleted file mode 100644
index ac64f17..0000000
--- a/doc/examples/shear/circle.gts
+++ /dev/null
@@ -1,6591 +0,0 @@
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-1699 116 3251
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-3038 2329 2591
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-2012 2866 439
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-2771 3111 3078
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-1778 468 1850
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-2674 3281 2750
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-340 1202 46
-3272 2987 510
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-1107 2911 873
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-3236 252 2899
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-2736 787 3291
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-1661 3090 1116
-3189 471 674
-254 1447 3155
-2325 3005 2817
-3294 3008 770
-3100 2990 1225
-2901 2502 623
-703 1542 1485
-2776 1644 817
-1904 3262 1769
-2068 271 2297
-853 1475 3294
-2253 1823 778
-2091 2178 1554
-3292 2724 2420
-2409 2754 3279
-2480 2775 3267
-2341 968 455
-356 2017 967
-3286 3200 1993
-2174 2571 2195
-2970 1648 2267
-2914 1735 702
-2940 3227 3193
-1143 1663 3107
-2772 2505 2170
-1763 3086 3136
-610 3166 2827
-3261 2175 2270
-334 1552 3052
-2797 3187 3056
-926 1404 3169
-1811 3244 3264
-440 1173 2119
-3242 2718 930
-3176 1418 634
-2710 3289 1245
-3023 1087 119
diff --git a/doc/examples/shear/shear.gfs b/doc/examples/shear/shear.gfs
deleted file mode 100644
index 7c9dec6..0000000
--- a/doc/examples/shear/shear.gfs
+++ /dev/null
@@ -1,103 +0,0 @@
-# Title: Time-reversed VOF advection in a shear flow
-#
-# Description:
-#
-# A test case initially presented by Rudman (Int. J. Num. Meth. Fluids, 1997).
-# A circular patch of tracer is advected in a vortical shear flow. At t = 2.5
-# the flow direction is reversed. An exact advection scheme would restore the 
-# initial circular shape at t = 5.
-#
-# The VOF (Volume-Of-Fluid) advection scheme is not exact. The initial, intermediate
-# and final shape of the interface are represented on Figure \ref{advection}. 
-# Figure \ref{error} illustrates the error between the initial and final shapes. The
-# corresponding error norms are given in Table \ref{norms}.
-#
-# Adaptive refinement is used with the gradient of the volume fraction as criterion.
-# Eight levels of refinement are used on the interfaces and six away from the interface.
-#
-# \begin{figure}[htbp]
-# \caption{\label{advection}Volume fraction field at times (a) 0, (b) 2.5 and (c) 5.}
-# \begin{center}
-# \begin{tabular}{ccc}
-# \includegraphics[width=0.3\hsize]{t-0.eps} &
-# \includegraphics[width=0.3\hsize]{t-2.5.eps} &
-# \includegraphics[width=0.3\hsize]{t-5.eps} \\
-# (a) & (b) & (c)
-# \end{tabular}
-# \end{center}
-# \end{figure}
-#
-# \begin{figure}[htbp]
-# \caption{\label{error}Difference between the initial and final volume fraction fields.}
-# \begin{center}
-# \includegraphics[width=0.4\hsize]{dt-5.eps}
-# \end{center}
-# \end{figure}
-#
-# \begin{table}[htbp]
-# \caption{\label{norms}Norms of the error between the initial and final fields.}
-# \begin{center}
-# \begin{tabular}{lll}
-# $||^1$ & $||^2$ & $||^\infty$ \\
-# \input{norms.tex}
-# \end{tabular}
-# \end{center}
-# \end{table}
-#
-# Author: St\'ephane Popinet
-# Command: gerris2D shear.gfs
-# Version: 0.6.4
-# Required files: circle.gts
-# Running time: 2 minutes
-# Generated files: t-0.eps t-2.5.eps t-5.eps dt-5.eps norms.tex
-#
-# The type of the simulation is GfsAdvection which only solves the advection
-# of passive tracers.
-1 0 GfsAdvection GfsBox GfsGEdge {} {
-  Time { end = 5 }
-  Refine 8
-
-  # Add tracer T, using a VOF advection scheme.
-  # The default scheme is a Van-Leer limited, second-order upwind scheme.
-  VariableTracerVOF {} T
-
-  # Initialize T as the volume fraction of each cell contained inside the
-  # volume defined by circle.gts
-  InitFraction {} T circle.gts
-
-  # Initialize U and V with the vortical shear flow field
-  Init {} {
-    U = sin((x + 0.5)*M_PI)*cos((y + 0.5)*M_PI) 
-    V = -cos((x + 0.5)*M_PI)*sin((y + 0.5)*M_PI)
-  }
-
-  # At t = 2.5 re-initialize U and V with the reversed flow field
-  Init { start = 2.5 } { U = -U V = -V }
- 
-  # Adapt the mesh dynamically so that at any time the maximum of the gradient
-  # of T is less than 1e-2 per cell length
-  AdaptGradient { istep = 1 } { cmax = 1e-2 maxlevel = 8 minlevel = 6 } T
- 
-  # Output progress report on standard error
-  OutputProgress { istep = 1 } stderr
-
-  OutputPPM { start = 0 } { convert ppm:- t-0.eps } { v = T }
-  OutputPPM { start = 2.5 } { convert ppm:- t-2.5.eps } { v = T }
-  OutputPPM { start = 5 } { convert ppm:- t-5.eps } { v = T }
-
-  # Add a new variable 
-  Variable {} Tref
-
-  # Initialize Tref with the initial shape
-  InitFraction { start = end } Tref circle.gts
-
-  # Output the norms of the difference between T and Tref, stores that into
-  # new variable DT
-  OutputErrorNorm { start = end } { awk '{print $5 " & " $7 " & " $9}' > norms.tex } { v = T } {
-    s = Tref v = DT
-  }
-
-  OutputPPM { start = end } { convert ppm:- dt-5.eps } { v = DT }
-  OutputTiming { start = end } stderr
-}
-GfsBox {}
diff --git a/doc/examples/template.tex b/doc/examples/template.tex
index ca11e05..6f7037b 100644
--- a/doc/examples/template.tex
+++ b/doc/examples/template.tex
@@ -47,7 +47,6 @@ The usefulness and quality of this document very much depend on the contribution
 
 \input{cylinder/cylinder.tex}
 \input{cylinder/heated/heated.tex}
-\input{shear/shear.tex}
 \input{rt/rt.tex}
 \input{boussinesq/boussinesq.tex}
 \input{logo/logo.tex}
diff --git a/test/Makefile.am b/test/Makefile.am
index 6a569d8..508ff22 100644
--- a/test/Makefile.am
+++ b/test/Makefile.am
@@ -17,7 +17,8 @@ TESTDIRS = \
 	couette \
 	plate \
 	dumbell \
-	nz
+	nz \
+	shear
 
 EXTRA_DIST = \
 	template.tex \
diff --git a/test/check.py b/test/check.py
index 4a6b307..79a5cbd 100644
--- a/test/check.py
+++ b/test/check.py
@@ -15,6 +15,8 @@ class Curve:
 			self.read(open(f,'r'),x,y)
 	def value(self,x):
 		l,u = 0,len(self.l)-1
+		if u == l:
+			return self.l[u][1]
 		while u - l > 1:
 			i = (u + l)/2
 			if self.l[i][0] > x:
diff --git a/test/shear/norms.ref b/test/shear/norms.ref
new file mode 100644
index 0000000..81aa016
--- /dev/null
+++ b/test/shear/norms.ref
@@ -0,0 +1 @@
+T time: 5 first:  2.553e-03 second:  4.056e-02 infty:  1.000e+00 bias: -1.594e-03
diff --git a/test/shear/shear.gfs b/test/shear/shear.gfs
new file mode 100644
index 0000000..024b3cc
--- /dev/null
+++ b/test/shear/shear.gfs
@@ -0,0 +1,98 @@
+# Title: Time-reversed VOF advection in a shear flow
+#
+# Description:
+#
+# A test case initially presented by Rudman \cite{rudman97}.
+# A circular patch of tracer is advected in a vortical shear flow. At t = 2.5
+# the flow direction is reversed. An exact advection scheme would restore the 
+# initial circular shape at t = 5.
+#
+# The VOF (Volume-Of-Fluid) advection scheme is not exact. The initial, intermediate
+# and final shape of the interface are represented on Figure \ref{advection}. 
+# Figure \ref{error} illustrates the error between the initial and final shapes. The
+# corresponding error norms are given in Table \ref{norms}.
+#
+# Adaptive refinement is used with the gradient of the volume fraction as criterion.
+# Eight levels of refinement are used on the interfaces and six away from the interface.
+#
+# \begin{figure}[htbp]
+# \caption{\label{advection}Volume fraction field at times (a) 0, (b) 2.5 and (c) 5.}
+# \begin{center}
+# \begin{tabular}{ccc}
+# \includegraphics[width=0.3\hsize]{t-0.eps} &
+# \includegraphics[width=0.3\hsize]{t-2.5.eps} &
+# \includegraphics[width=0.3\hsize]{t-5.eps} \\
+# (a) & (b) & (c)
+# \end{tabular}
+# \end{center}
+# \end{figure}
+#
+# \begin{figure}[htbp]
+# \caption{\label{error}Difference between the initial and final volume fraction fields.}
+# \begin{center}
+# \includegraphics[width=0.4\hsize]{dt-5.eps}
+# \end{center}
+# \end{figure}
+#
+# \begin{table}[htbp]
+# \caption{\label{norms}Norms of the error between the initial and final fields. The
+# reference values are given in blue.}
+# \begin{center}
+# \begin{tabular}{|c|c|c|}\hline
+# $L_1$ & $L_2$ & $L_\infty$ \\ \hline
+# \input{norms.tex}
+# \end{tabular}
+# \end{center}
+# \end{table}
+#
+# Author: St\'ephane Popinet
+# Command: sh shear.sh shear.gfs
+# Version: 1.1.0
+# Required files: shear.sh norms.ref
+# Running time: 2 minutes
+# Generated files: t-0.eps t-2.5.eps t-5.eps dt-5.eps norms norms.tex
+#
+# The type of the simulation is GfsAdvection which only solves the advection
+# of passive tracers.
+1 0 GfsAdvection GfsBox GfsGEdge {} {
+    Time { end = 5 }
+    Refine 8
+
+    # Add tracer T, using a VOF advection scheme.
+    # The default scheme is a Van-Leer limited, second-order upwind scheme.
+    VariableTracerVOF {} T
+
+    InitFraction {} T (ellipse (0, -.236338, 0.2, 0.2))
+
+    # Initialize U and V with the vortical shear flow field
+    Init {} {
+	U = sin((x + 0.5)*M_PI)*cos((y + 0.5)*M_PI)
+	V = -cos((x + 0.5)*M_PI)*sin((y + 0.5)*M_PI)
+    }
+
+    # At t = 2.5 re-initialize U and V with the reversed flow field
+    Init { start = 2.5 } { U = -U V = -V }
+    
+    # Adapt the mesh dynamically so that at any time the maximum of the gradient
+    # of T is less than 1e-2 per cell length
+    AdaptGradient { istep = 1 } { cmax = 1e-2 maxlevel = 8 minlevel = 6 } T
+    
+    OutputPPM { start = 0 } { convert ppm:- t-0.eps } { v = T }
+    OutputPPM { start = 2.5 } { convert ppm:- t-2.5.eps } { v = T }
+    OutputPPM { start = 5 } { convert ppm:- t-5.eps } { v = T }
+
+    # Add a new variable 
+    Variable {} Tref
+
+    # Initialize Tref with the initial shape
+    InitFraction { start = end } Tref (ellipse (0, -.236338, 0.2, 0.2))
+
+    # Output the norms of the difference between T and Tref, stores that into
+    # new variable DT
+    OutputErrorNorm { start = end } norms { v = T } {
+	s = Tref v = DT
+    }
+
+    OutputPPM { start = end } { convert ppm:- dt-5.eps } { v = DT }
+}
+GfsBox {}
diff --git a/test/shear/shear.sh b/test/shear/shear.sh
new file mode 100644
index 0000000..5ced3fb
--- /dev/null
+++ b/test/shear/shear.sh
@@ -0,0 +1,24 @@
+if ! $donotrun; then
+    if gerris2D $1; then :
+    else
+	exit 1
+    fi
+fi
+
+if awk '{print $5 " & " $7 " & " $9 "\\\\"}' < norms > norms.tex && \
+   awk '{print "{\\color{blue}" $5 "} & {\\color{blue}" $7 "} & {\\color{blue}" $9 "}"}' < norms.ref >> norms.tex ; then :
+else
+    exit 1
+fi
+
+if cat <<EOF | python ; then :
+from check import *
+from sys import *
+if (Curve('norms',3,5) - Curve('norms.ref',3,5)).max() > 0. or\
+   (Curve('norms',3,7) - Curve('norms.ref',3,7)).max() > 0. or\
+   (Curve('norms',3,9) - Curve('norms.ref',3,9)).max() > 0.:
+    exit(1)
+EOF
+else
+   exit 1
+fi
diff --git a/test/template.tex b/test/template.tex
index c64683b..a9b89cd 100644
--- a/test/template.tex
+++ b/test/template.tex
@@ -44,6 +44,7 @@ current stable branch of the version-controlled source code.
 \section{Advection}
 
 \input{advection/advection.tex}
+\input{shear/shear.tex}
 
 \section{Euler}
 
diff --git a/test/tests.bib b/test/tests.bib
index aeec30e..ac62596 100644
--- a/test/tests.bib
+++ b/test/tests.bib
@@ -140,6 +140,16 @@
   pages=         {81-85}
 }
 
+ at article{rudman97,
+  title={{VOLUME-TRACKING METHODS FOR INTERFACIAL FLOW CALCULATIONS}},
+  author={RUDMAN, M.},
+  journal={International Journal for Numerical Methods in Fluids},
+  volume={24},
+  number={7},
+  pages={671--691},
+  year={1997}
+}
+
 @TechReport{rutgers-waves,
   author = 	 {E. Curchitser},
   title = 	 {Waves in a circular basin},

-- 
Gerris Flow Solver



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