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%7D%7Binterface.ccl%... +% \item \href{http://www.cct.lsu.edu/~bentivegna/WaveToy/schedule.ccl%7D%7Bschedule.ccl%7D +% \item \href{http://www.cct.lsu.edu/~bentivegna/WaveToy/param.ccl%7D%7Bparam.ccl%7D +% \item \href{http://www.cct.lsu.edu/~bentivegna/WaveToy/src%7D%7Bsrc/ 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%7D%7Binterfac... +% \item \href{http://www.cct.lsu.edu/~bentivegna/WaveToyEnergy/schedule.ccl%7D%7Bschedule.... +% \item \href{http://www.cct.lsu.edu/~bentivegna/WaveToyEnergy/param.ccl%7D%7Bparam.ccl%7D +% \item \href{http://www.cct.lsu.edu/~bentivegna/WaveToyEnergy/src%7D%7Bsrc/ 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}