[Commits] [svn:einsteintoolkit] Workshop_Spring_2012/example_wavetoy/ (Rev. 11)

roland.haas at physics.gatech.edu roland.haas at physics.gatech.edu
Mon Mar 26 12:12:16 CDT 2012


User: rhaas
Date: 2012/03/26 12:12 PM

Added:
 /example_wavetoy/
  Makefile, example_wavetoy.tex

Log:
 import rev 187 of example_wavetoy from
 svn.cct.lsu.edu/repos/cactus/tutorials/introduction

File Changes:

Directory: /example_wavetoy/
============================

File [added]: Makefile
Delta lines: +10 -0
===================================================================
--- example_wavetoy/Makefile	                        (rev 0)
+++ example_wavetoy/Makefile	2012-03-26 17:12:15 UTC (rev 11)
@@ -0,0 +1,10 @@
+all: example_wavetoy.pdf 
+
+%.pdf: %.tex
+	pdflatex $*
+
+clean:
+	/bin/bash -exec "rm -f example_wavetoy.{aux,log,nav,out,snm,pdf,toc} *~"
+
+.PHONY: all clean
+

File [added]: example_wavetoy.tex
Delta lines: +590 -0
===================================================================
--- example_wavetoy/example_wavetoy.tex	                        (rev 0)
+++ example_wavetoy/example_wavetoy.tex	2012-03-26 17:12:15 UTC (rev 11)
@@ -0,0 +1,590 @@
+\input{../preamble.tex}
+\usepackage{ragged2e}
+\usecolortheme[RGB={200,200,200}]{structure}
+
+\begin{document}
+
+\frame{ \frametitle{WaveToy Thorn: Wave Equation}
+ For a given source function $S(x,y,z,t)$ find a scalar wave
+ field $\varphi(x,y,z,t)$ inside the domain $\mathcal{D}$
+ with a boundary condition:
+ \begin{columns}[t]
+    \column{.3\textwidth}
+      \begin{figure}[!htp]
+      \begin{center}
+      \begin{tikzpicture}[rotate=5,scale=1.2]
+        \filldraw[fill=green!60!white, draw=green!50!black, thick] 
+             (-1,-1) rectangle (1,1);
+        \draw (0,0) node {{\large $\mathcal{D}$}};
+        \draw (1.4,0.2) node {$\partial\mathcal{D}$};
+        \draw[->,thick,color=red] (1.1,0.2) -- (1,0.2);
+      \end{tikzpicture}
+      \end{center}
+      \end{figure}
+      
+    \column{.6\textwidth}
+      \begin{itemize}
+      \item inside $\mathcal{D}$:
+            \begin{equation*}
+            \frac{\partial^2\varphi}{\partial t^2} = c^2\Delta\varphi + S
+            \end{equation*}
+      \item on the boundary  $\partial\mathcal{D}$:
+            \begin{equation*}
+            \varphi|_{\partial\mathcal{D}} = \varphi(t=0)
+            \end{equation*}
+      \end{itemize}
+ \end{columns}   
+}
+
+\frame{ \frametitle{WaveToy Thorn: Discretization}
+ Discretization: \\
+ approximating continuous function $\varphi(x,t)$ 
+ with a grid function $\varphi^{(n)}_{i}$:
+ \begin{columns}[t]
+    \column{.2\textwidth}
+      \begin{figure}[!htp]
+      \begin{center}
+      \begin{tikzpicture}[scale=1.1]
+        \draw (-1,0) -- (1,0);
+        \draw (0,-1) -- (0,1);
+        \scope[fill=green!50!blue, draw=black]
+          \filldraw (0,0) circle (0.07cm);
+          \filldraw (1,0) circle (0.07cm);
+          \filldraw (0,1) circle (0.07cm);
+          \filldraw (-1,0) circle (0.07cm);
+          \filldraw (0,-1) circle (0.07cm);
+        \endscope
+        \scope[xshift=0.45cm,yshift=0.25cm]
+          \draw (0,0) node {{\tiny $\varphi^{(n)}_{i}$}};
+          \draw (1,0) node {{\tiny $\varphi^{(n)}_{i+1}$}};
+          \draw (0,1) node {{\tiny $\varphi^{(n+1)}_{i}$}};
+          \draw (-1,0) node {{\tiny $\varphi^{(n)}_{i-1}$}};
+          \draw (0,-1) node {{\tiny $\varphi^{(n-1)}_{i}$}};
+        \endscope
+      \end{tikzpicture}
+      \end{center}
+      \end{figure}
+
+    \column{.8\textwidth}
+      \begin{eqnarray*}
+      \\
+      &\frac{\partial^2\varphi}{\partial t^2} = 
+        c^2 (\partial_x^2\varphi) + S \\
+      &\Downarrow (c\equiv1)\\
+      &\frac{\varphi^{(n+1)}_{i} - 2\varphi^{(n)}_{i}+\varphi^{(n-1)}_{i}}
+           {2\Delta t^2} =
+      \frac{\varphi^{(n)}_{i+1} - 2\varphi^{(n)}_{i}+\varphi^{(n)}_{i-1}}
+           {2\Delta x^2} + S^{(n)}_{i}
+      \end{eqnarray*}
+ \end{columns}   
+}
+
+\frame{ \frametitle{WaveToy Thorn}
+ Thorn structure:
+
+ \begin{columns}[t]
+    \column{.4\textwidth}
+    \begin{exampleblock}{interface.ccl}
+      \begin{itemize}
+      \item grid function {\color{blue}phi[3]}:
+      \end{itemize}
+      \begin{figure}[!htp]
+      \begin{center}
+      \begin{tikzpicture}
+        \scope[fill=white!90!green, draw=black]
+          \filldraw (-1.5,-1) -- (0.5,-1) -- (1.5,-0.2) -- (-0.5,-0.2) -- cycle; 
+          \filldraw (-1.5,-0.4) -- (0.5,-0.4) -- (1.5,0.4) -- (-0.5,0.4) -- cycle; 
+          \filldraw (-1.5,0.2) -- (0.5,0.2) -- (1.5,1) -- (-0.5,1) -- cycle; 
+        \endscope
+        \scope[fill=green!50!blue, draw=black, dashed, very thin]
+          \draw (-0.6,0) -- (0.6,0);
+          \draw (0,-0.6) -- (0,0.6);
+          \draw (-0.35,-0.3) -- (0.35,0.3);
+          \filldraw (0,0) circle (0.07cm);
+          \filldraw (0.6,0) circle (0.07cm);
+          \filldraw (0,0.6) circle (0.07cm);
+          \filldraw (-0.6,0) circle (0.07cm);
+          \filldraw (0,-0.6) circle (0.07cm);
+          \filldraw (-0.35,-0.3) circle (0.07cm);
+          \filldraw (0.35,0.3)   circle (0.07cm);
+        \endscope
+        \scope[left=2pt,yshift=0.2cm]
+          \draw (-1.5,-1)   node {\color{blue}phi\_p\_p};
+          \draw (-1.5,-0.4) node {\color{blue}phi\_p};
+          \draw (-1.5, 0.2) node {\color{blue}phi};
+        \endscope
+        \scope[xshift=0.6cm,yshift=0.2cm]
+          \draw (-1.5,-1)   node {{\tiny $\varphi^{(n-2)}$}};
+          \draw (-1.5,-0.4) node {{\tiny $\varphi^{(n-1)}$}};
+          \draw (-1.5, 0.2) node {{\tiny $\varphi^{(n)}$}};
+        \endscope
+      %\includegraphics[height=0.3\textheight]{time_levels}
+      \end{tikzpicture}
+      \end{center}
+      \end{figure}
+      \begin{itemize}
+      \item {\small Boundary\_SelectVarForBC}
+      \end{itemize}
+    \end{exampleblock}
+
+    \column{.4\textwidth}
+    \begin{exampleblock}{param.ccl}
+      \begin{itemize}
+      \item Parameters of initial Gaussian pulse: 
+            amplitude {\color{brown}$A$}, 
+            radius {\color{brown}$R$}, 
+            width {\color{brown}$\sigma$}
+      \end{itemize}
+    \end{exampleblock}
+
+    \begin{exampleblock}{schedule.ccl}
+      \begin{itemize}
+      \item WaveToy\_InitialData
+      \item WaveToy\_Evolution
+      \item WaveToy\_Boundaries
+      \end{itemize}
+    \end{exampleblock}
+ \end{columns}   
+}
+
+% \frame{ \frametitle{WaveToy Thorn}
+%  \begin{itemize}
+%  \item Choose initial values $\Phi_{i,j,k,0}$;
+%  \item Loop:
+%    \begin{itemize}
+%    \item Calculate field at current time based on discretized wave equation
+%    \item On boundary points, where derivatives may not be present, apply chosen
+%          boundary conditions
+%    \end{itemize} 
+%  \end{itemize} 
+% }
+
+\frame{ \frametitle{WaveToy Thorn: Algorithm Illustration}
+ \begin{columns}[t]
+ \column{.7\textwidth}
+   \begin{figure}[!htp]
+   \begin{center}
+     \begin{tikzpicture}
+       
+       %\draw[->] (0,0) -- (1,1);
+       % Step 1: axes and grid
+       \draw[->,very thin] (-.6,-.4) -- (6,-.4);
+       \draw[->,very thin] (-.4,-.6) -- (-.4,3);
+       \draw[left=2pt] (-.4,2.5)   node {$t$};
+       \draw[above=2pt] (5.8,-0.4) node {$x$};
+
+       \uncover<1>{
+         \draw[xstep=.6cm,ystep=.4cm,gray,dashed]
+              (0,0) grid(5.4cm,2.6cm);
+       }%
+
+       % Step 2: splitting between two processors
+       \uncover<2->{
+         \draw (0,2.8) -- (.6,3.2) -- (2.4,3.2) -- (3,2.8);
+         \draw[above=1pt] (1.4,3.2) node {\emph{PROC1}};
+  
+         \draw[xshift=2.4cm] (0,2.8) -- (.6,3.2) -- (2.4,3.2) -- (3,2.8);
+         \draw[above=1pt] (3.8,3.2) node {\emph{PROC2}};
+       }%
+       \uncover<2-4>{
+         \draw[xstep=.6cm,ystep=.4cm,gray,dashed] 
+              (0,0)   grid (3.0cm,2.6cm);
+         \draw[xstep=.6cm,ystep=.4cm,gray,dashed,xshift=0.05cm,yshift=0.05cm] 
+              (2.4,0) grid (5.4cm,2.6cm);
+       }%
+
+       % Step 3: memory "allocations" 
+       \uncover<3>{
+         \draw[color=blue] (1.5,-0.6) node {\tiny x, phi, phi\_p, phi\_p\_p};
+         \draw[color=blue] (4.2,-0.6) node {\tiny x, phi, phi\_p, phi\_p\_p};
+       }%
+
+       % Step 4: CoordBase / CartGrid3D
+       \uncover<4->{
+          \foreach \x in {0.0,0.6,1.2,1.8,2.4,3.0,3.6,4.2,4.8,5.4}
+            \draw (\x cm,-0.4cm) node[anchor=south] {{\tiny $\x$}};
+          \draw[very thick,color=brown,xstep=0.6cm,ystep=1cm,yshift=-0.4cm] 
+            (0cm,-1pt) grid (3.0cm,1pt);
+          \draw[color=blue] (1.5,-0.6) node {\small x};
+
+          \draw[very thick,color=brown,xstep=0.6cm,ystep=1cm,xshift=2.45cm,yshift=-0.35cm] 
+            (0cm,-1pt) grid (3.0cm,1pt);
+          \draw[color=blue] (4.2,-0.6) node {\small x};
+       }
+       \uncover<4-5>{
+         \draw[color=blue] (1.5,-1.0) node {\tiny phi, phi\_p, phi\_p\_p};
+         \draw[color=blue] (4.2,-1.0) node {\tiny phi, phi\_p, phi\_p\_p};
+       }%
+
+       % Step 5: Time
+       \uncover<5->{
+         \draw[xstep=.6cm,ystep=.4cm,gray,dashed] 
+              (0,0)   grid (3.0cm,2.6cm);
+         \draw[xstep=.6cm,ystep=.4cm,gray,dashed,xshift=0.05cm,yshift=0.05cm] 
+              (2.4,0) grid (5.4cm,2.6cm);
+       }%
+       \uncover<5>{
+         \scope[color=red,thick,fill=white]
+           \draw (-0.5,0.4) -- (0.0,0.4);
+           \draw (-0.5,0.8) -- (0.0,0.8);
+           \draw[->] (-0.1,1.2) -- (-0.1,0.8);
+           \draw[<-] (-0.1,0.4) -- (-0.1,0.0);
+         \endscope
+         \draw (0,0.6) node[anchor=west,fill=white] {$\Delta t = \lambda\Delta x_{\min}$};
+       }
+
+       % Step 6: Initial data routines
+       \uncover<6->{
+         \scope[very thick,color=green,xstep=0.6cm,ystep=1cm]
+          \draw[xshift=0cm,yshift=0cm]       (0cm,-1pt) grid (3.0cm,1pt);
+          \draw[xshift=2.45cm,yshift=0.05cm] (0cm,-1pt) grid (3.0cm,1pt);         
+          \draw[xshift=0cm,yshift=0.4cm]     (0cm,-1pt) grid (3.0cm,1pt);
+          \draw[xshift=2.45cm,yshift=0.45cm] (0cm,-1pt) grid (3.0cm,1pt);         
+          \draw[xshift=0cm,yshift=0.8cm,color=black]     (0cm,-1pt) grid (3.0cm,1pt);
+          \draw[xshift=2.45cm,yshift=0.85cm,color=black] (0cm,-1pt) grid (3.0cm,1pt);         
+         \endscope
+       }%
+       \uncover<6>{
+         \scope[color=blue]
+           \draw (-0.5,0.0) node[anchor=east] {\small phi\_p};
+           \draw (-0.5,0.4) node[anchor=east] {\small phi};
+           \draw (-0.5,0.8) node[anchor=east] {\small phi\_p\_p};
+         \endscope
+       }
+
+       % Step 7: Layers rotation
+       \uncover<7>{
+         %\draw[thick,color=red,->] (-0.5,-0.1) arc (-25:25:1.1cm);
+         \draw[thick,color=red,->] (-1.8, 0.8) arc (155:205:1.1cm);
+       }
+       \uncover<7-11>{
+         \scope[color=blue]
+           \draw (-0.5,0.0) node[anchor=east] {\small phi\_p\_p};
+           \draw (-0.5,0.4) node[anchor=east] {\small phi\_p};
+           \draw (-0.5,0.8) node[anchor=east] {\small phi};
+         \endscope
+       }
+
+       % Step 8: Evaluation of RHS
+       \uncover<8>{
+         \scope[draw=red,thick,fill=green]
+           \draw (0.0,0.4) -- (1.2,0.4);
+           \draw[->] (0.6,0.0) -- (0.6,0.7);
+           \filldraw (0.6,0.8) circle (0.1cm);
+           \filldraw (0.6,0.0) circle (0.1cm);
+           \filldraw (0.0,0.4) circle (0.1cm);
+           \filldraw (0.6,0.4) circle (0.1cm);
+           \filldraw (1.2,0.4) circle (0.1cm);
+
+           % second processor:
+           \scope[xshift=0.05cm,yshift=0.05cm]
+             \fill (3.0,0.8) circle (0.05cm);
+             \fill (3.6,0.8) circle (0.05cm);
+             \scope[xshift=3.6cm]
+               \draw (0.0,0.4) -- (1.2,0.4);
+               \draw[->] (0.6,0.0) -- (0.6,0.7);
+               \filldraw (0.6,0.8) circle (0.1cm);
+               \filldraw (0.6,0.0) circle (0.1cm);
+               \filldraw (0.0,0.4) circle (0.1cm);
+               \filldraw (0.6,0.4) circle (0.1cm);
+               \filldraw (1.2,0.4) circle (0.1cm);
+             \endscope
+           \endscope
+         \endscope
+       }%
+
+       % Step 9: Ghost zones
+       \uncover<9>{
+         \scope[very thick,color=green,xstep=0.6cm,ystep=1cm]
+          \draw[xshift=0.6cm,yshift=0.8cm]       (0cm,-1pt) grid (1.8cm,1pt);
+          \draw[xshift=3.05cm,yshift=0.85cm] (0cm,-1pt) grid (1.8cm,1pt);         
+          \draw[->,color=red] (2.4,0.7) -- (2.4,0.9);
+          \draw[->,color=red] (3.05,0.9) -- (3.05,0.7);
+         \endscope
+       }%
+       
+       % Step 10: Boundary conditions
+       \uncover<10>{
+         \scope[very thick,color=green,xstep=0.6cm,ystep=1cm]
+          \draw[xshift=0.6cm,yshift=0.8cm]       (0cm,-1pt) grid (2.4cm,1pt);
+          \draw[xshift=2.45cm,yshift=0.85cm] (0cm,-1pt) grid (2.4cm,1pt);         
+          \draw[->,color=red] (0.0,0.4) -- (0.0,0.8);
+          \draw[->,color=red] (5.45,0.45) -- (5.45,0.85);
+         \endscope
+       }%
+
+       % Step 11: Output data
+       \uncover<11->{
+         \scope[very thick,color=green,xstep=0.6cm,ystep=1cm]
+          \draw[xshift=0cm,yshift=0.8cm]     (0cm,-1pt) grid (3.0cm,1pt);
+          \draw[xshift=2.45cm,yshift=0.85cm] (0cm,-1pt) grid (3.0cm,1pt);         
+         \endscope
+       }
+
+       % Step 11: Advance to the next time level
+       \uncover<12>{
+         \scope[very thick,color=green,xstep=0.6cm,ystep=1cm]
+          \draw[xshift=0cm,yshift=1.2cm,color=black]     (0cm,-1pt) grid (3.0cm,1pt);
+          \draw[xshift=2.45cm,yshift=1.25cm,color=black] (0cm,-1pt) grid (3.0cm,1pt);         
+          \draw[xshift=0cm,yshift=0.8cm]     (0cm,-1pt) grid (3.0cm,1pt);
+          \draw[xshift=2.45cm,yshift=0.85cm] (0cm,-1pt) grid (3.0cm,1pt);         
+         \endscope
+         \scope[color=blue]
+           \draw (-0.5,0.4) node[anchor=east] {\small phi\_p};
+           \draw (-0.5,0.8) node[anchor=east] {\small phi};
+           \draw (-0.5,1.2) node[anchor=east] {\small phi\_p\_p};
+         \endscope
+       }
+
+     \end{tikzpicture}
+   \end{center}
+   \end{figure}
+
+
+ \column{.3\textwidth}
+   \begin{figure}[!htp]
+   \begin{center}
+   \vspace{-1cm}
+   \begin{tikzpicture}
+      \draw (0,7) node
+      [anchor=north,right,text width=3cm,rounded corners,fill=green!20,draw=blue!50!black] %,inner sep=1ex]
+      (begin)
+      {\begin{footnotesize}
+       \begin{itemize}
+       \item[] \hspace{-0.5cm} Grid structure
+       \item[] \hspace{-0.5cm} GF allocation
+       \end{itemize}
+       \end{footnotesize}};
+
+      \draw (0,5.3) node 
+      [anchor=north,right,text width=3cm,rounded corners,fill=green!20,draw=blue!50!black] %,inner sep=1ex]
+      (init)
+      {\begin{footnotesize}
+       \begin{itemize}
+       \item[] \hspace{-0.5cm} Set up coords
+       \item[] \hspace{-0.5cm} Compute $\Delta t$
+       \item[] \hspace{-0.5cm} Initial data
+       \end{itemize}
+       \end{footnotesize} };
+      
+      \draw[->,thick,draw=blue!50!black] (0,2.15) -- (-0.3,2.15) -- (-0.3,3.8) -- (-0.05,3.8);
+
+      \draw (0,3) node 
+      [anchor=north,right,text width=3cm,rounded corners,fill=green!20,draw=blue!50!black] %,inner sep=1ex]
+      (evol)
+      {\begin{footnotesize}
+       \begin{itemize}
+       \item[]\hspace{-0.5cm} Rotate timelevels
+       \item[]\hspace{-0.5cm} Evolve GF, sync
+       \item[]\hspace{-0.5cm} Apply BCs
+       \item[]\hspace{-0.5cm} Output data
+       \end{itemize}
+       \end{footnotesize} };
+
+      \scope[color=blue!50!black,thick]
+        \draw[->,shorten >=2pt] (begin.south) -- (init.north);
+        \draw[->,shorten >=2pt] (init.south)  -- (evol.north);
+      \endscope
+   \end{tikzpicture}
+   \end{center}
+   \end{figure}
+ \end{columns}
+}
+
+%\frame[containsverbatim]{ \frametitle{WaveToy Thorn}
+% Implemented in \verb|CactusWave/WaveToy|:
+% \begin{itemize}
+%  \item \href{http://www.cct.lsu.edu/~bentivegna/WaveToy/interface.ccl}{interface.ccl}
+%  \item \href{http://www.cct.lsu.edu/~bentivegna/WaveToy/schedule.ccl}{schedule.ccl}
+%  \item \href{http://www.cct.lsu.edu/~bentivegna/WaveToy/param.ccl}{param.ccl}
+%  \item \href{http://www.cct.lsu.edu/~bentivegna/WaveToy/src}{src/ directory}
+% \end{itemize}
+%}
+
+\frame[containsverbatim]{ \frametitle{WaveToy Thorn}
+ Directory structure:
+ \begin{alltt}
+WaveToy/
+|-- COPYRIGHT
+|-- README
+|-- configuration.ccl
+|-- doc
+|   `-- documentation.tex
+|-- interface.ccl
+|-- schedule.ccl
+|-- param.ccl
+`-- src
+    |-- WaveToy.c
+    `-- make.code.defn
+\end{alltt}
+}
+
+\frame[containsverbatim]{ \frametitle{WaveToy Thorn}
+ Directory structure:
+ \begin{alltt}
+WaveToy/
+|-- COPYRIGHT
+|-- README
+|-- configuration.ccl
+|-- doc
+|   `-- documentation.tex
+\textcolor{blue}{|-- interface.ccl
+|-- schedule.ccl
+|-- param.ccl}
+`-- src
+    |-- WaveToy.c
+    `-- make.code.defn
+\end{alltt}
+}
+
+\frame[containsverbatim]{ \frametitle{WaveToy Thorn}
+ \begin{itemize}
+  \item \verb|interface.ccl|:
+   \tiny\begin{verbatim}
+ IMPLEMENTS: wavetoy_simple
+ INHERITS: grid
+
+ PUBLIC:
+
+ CCTK_REAL scalarevolve TYPE=gf TIMELEVELS=3
+ {
+   phi
+ } "The evolved scalar field"
+
+ CCTK_INT FUNCTION Boundary_SelectVarForBC( \
+   CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, \
+   CCTK_INT IN boundary_width, CCTK_INT IN table_handle, \
+   CCTK_STRING IN var_name, CCTK_STRING IN bc_name)
+
+ REQUIRES FUNCTION Boundary_SelectVarForBC\end{verbatim}
+ \end{itemize}
+}
+\frame[containsverbatim]{ \frametitle{WaveToy Thorn cont.}
+ \begin{itemize}
+ \item \verb|schedule.ccl|:
+  \tiny\begin{verbatim}
+   STORAGE: scalarevolve[3]
+
+   SCHEDULE WaveToy_InitialData AT CCTK_INITIAL
+   {
+     LANG: C
+   } "Initial data for 3D wave equation"
+
+   SCHEDULE WaveToy_Evolution AT CCTK_EVOL
+   {
+     LANG: C
+     SYNC: scalarevolve
+   } "Evolution of 3D wave equation"
+
+   SCHEDULE WaveToy_Boundaries AT CCTK_EVOL AFTER WaveToy_Evolution
+   {
+     LANG: C
+   } "Select boundary conditions for the evolved scalar"
+
+   SCHEDULE GROUP ApplyBCs as WaveToy_ApplyBCs AT CCTK_EVOL AFTER WaveToy_Boundaries
+   {
+   } "Apply boundary conditions"\end{verbatim}
+ \end{itemize}
+}
+\frame[containsverbatim]{ \frametitle{WaveToy Thorn cont.}
+ \begin{itemize}
+  \item \verb|param.ccl|:
+   \tiny\begin{verbatim}
+   CCTK_REAL amplitude "The amplitude of the waves"
+   {
+    *:* :: "Anything"
+   } 1.0
+
+   CCTK_REAL radius "The radius of the gaussian wave"
+   {
+    0:* :: "Positive"
+   } 0.0
+
+   CCTK_REAL sigma "The sigma for the gaussian wave"
+   {
+    0:* :: "Positive"
+   } 0.1\end{verbatim}
+ \end{itemize}
+}
+
+\frame[containsverbatim]{ \frametitle{WaveToy Thorn cont.}
+ \begin{itemize}
+  \item Example parameter file:
+   \tiny\begin{verbatim}
+  Cactus::cctk_run_title = "Simple WaveToy"
+
+  ActiveThorns = "time boundary Carpet CarpetLib CartGrid3D"
+  ActiveThorns = "CoordBase ioutil CarpetIOBasic CarpetIOASCII"
+  ActiveThorns = "CarpetIOHDF5 SymBase wavetoy"
+
+  cactus::cctk_itlast = 10000
+  time::dtfac = 0.5
+
+  IO::out_dir             = $parfile
+  IOBasic::outInfo_every  = 1
+  IOASCII::out1D_every    = 1
+  IOASCII::out1D_vars     = "wavetoy_simple::phi"
+
+  iohdf5::out_every = 10
+  iohdf5::out_vars        = "grid::coordinates{out_every=10000000} wavetoy_simple::phi"\end{verbatim}
+  \end{itemize}
+}
+%\frame[containsverbatim]{ \frametitle{WaveToy Thorn}
+% \begin{enumerate}
+%   \item Define a new variable in \verb|interface.ccl|, and allocate storage
+%         for it in \verb|schedule.ccl|.
+%   \item Schedule the energy calculation in the appropriate time bin, also in 
+%         \verb|schedule.ccl|.
+%\item Code up the energy calculation procedure in a file under the \verb|src/|
+%         subdirectory, and request its compilation in \verb|make.code.defn|.
+% \end{enumerate}
+%}
+
+%\frame[containsverbatim]{ \frametitle{WaveToy Thorn}
+% Modified thorn:
+% \begin{itemize}
+%  \item \href{http://www.cct.lsu.edu/~bentivegna/WaveToyEnergy/interface.ccl}{interface.ccl}
+%  \item \href{http://www.cct.lsu.edu/~bentivegna/WaveToyEnergy/schedule.ccl}{schedule.ccl}
+%  \item \href{http://www.cct.lsu.edu/~bentivegna/WaveToyEnergy/param.ccl}{param.ccl}
+%  \item \href{http://www.cct.lsu.edu/~bentivegna/WaveToyEnergy/src}{src/ directory}
+% \end{itemize}
+%}
+%
+%\frame[containsverbatim]{ \frametitle{WaveToy Thorn}
+% Running this example:
+% \begin{enumerate}
+%  \item Download the thornlist, optionlist and parameter file:
+%
+%  \small{\url{www.cct.lsu.edu/~bentivegna/ICCS09Demo/wavetoy.th}}
+%
+%  \small{\url{www.cct.lsu.edu/~bentivegna/ICCS09Demo/wavetoy.op}}
+%
+%  \small{\url{www.cct.lsu.edu/~bentivegna/ICCS09Demo/wavetoy.par}}
+%
+%  \item Configure and compile:
+%  
+%  \verb|cd $CACTUS_DIR|
+%
+%  \verb|make wave-config options=wavetoy.op THORNLIST=wavetoy.th|
+%
+%  \verb|make wave|
+%  \item Run:
+% 
+%  \verb|./exe/cactus_wave wavetoy.par|
+% \end{enumerate}
+%}
+%
+%\frame[containsverbatim]{ \frametitle{WaveToy Thorn}
+% Visualize the results:
+% \begin{itemize}
+%  \item ASCII output with gnuplot. 
+%  \item HDF5 output with VisIt and visitCarpetHDF5.
+%  \includegraphics[height=3cm]{viz1.png}
+%  \quad
+%  \includegraphics[height=3cm]{viz3.png}
+%  \quad
+%  \includegraphics[height=3cm]{viz6.png}
+% \end{itemize}
+%}
+
+\end{document}



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