From a5dfe864857e7252dab39257cec3a75565305455 Mon Sep 17 00:00:00 2001 From: schnetter Date: Fri, 2 Jan 2004 16:21:52 +0000 Subject: Kreiss-Oliger artificial dissipation for MoL. git-svn-id: http://svn.cactuscode.org/arrangements/CactusNumerical/Dissipation/trunk@2 850bcc8b-0e4f-0410-8c26-8d28fbf1eda9 --- doc/documentation.tex | 128 ++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 128 insertions(+) create mode 100644 doc/documentation.tex (limited to 'doc') diff --git a/doc/documentation.tex b/doc/documentation.tex new file mode 100644 index 0000000..ecc3634 --- /dev/null +++ b/doc/documentation.tex @@ -0,0 +1,128 @@ +% *======================================================================* +% Cactus Thorn template for ThornGuide documentation +% Author: Ian Kelley +% Date: Sun Jun 02, 2002 +% $Header$ +% +% Thorn documentation in the latex file doc/documentation.tex +% will be included in ThornGuides built with the Cactus make system. +% The scripts employed by the make system automatically include +% pages about variables, parameters and scheduling parsed from the +% relevant thorn CCL files. +% +% This template contains guidelines which help to assure that your +% documentation will be correctly added to ThornGuides. More +% information is available in the Cactus UsersGuide. +% +% Guidelines: +% - Do not change anything before the line +% % START CACTUS THORNGUIDE", +% except for filling in the title, author, date, etc. fields. +% - Each of these fields should only be on ONE line. +% - Author names should be separated with a \\ or a comma. +% - You can define your own macros, but they must appear after +% the START CACTUS THORNGUIDE line, and must not redefine standard +% latex commands. +% - To avoid name clashes with other thorns, 'labels', 'citations', +% 'references', and 'image' names should conform to the following +% convention: +% ARRANGEMENT_THORN_LABEL +% For example, an image wave.eps in the arrangement CactusWave and +% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps +% - Graphics should only be included using the graphicx package. +% More specifically, with the "\includegraphics" command. Do +% not specify any graphic file extensions in your .tex file. This +% will allow us to create a PDF version of the ThornGuide +% via pdflatex. +% - References should be included with the latex "\bibitem" command. +% - Use \begin{abstract}...\end{abstract} instead of \abstract{...} +% - Do not use \appendix, instead include any appendices you need as +% standard sections. +% - For the benefit of our Perl scripts, and for future extensions, +% please use simple latex. +% +% *======================================================================* +% +% Example of including a graphic image: +% \begin{figure}[ht] +% \begin{center} +% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure} +% \end{center} +% \caption{Illustration of this and that} +% \label{MyArrangement_MyThorn_MyLabel} +% \end{figure} +% +% Example of using a label: +% \label{MyArrangement_MyThorn_MyLabel} +% +% Example of a citation: +% \cite{MyArrangement_MyThorn_Author99} +% +% Example of including a reference +% \bibitem{MyArrangement_MyThorn_Author99} +% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999), +% 1--16. {\tt http://www.nowhere.com/}} +% +% *======================================================================* + +% If you are using CVS use this line to give version information +% $Header$ + +\documentclass{article} + +% Use the Cactus ThornGuide style file +% (Automatically used from Cactus distribution, if you have a +% thorn without the Cactus Flesh download this from the Cactus +% homepage at www.cactuscode.org) +\usepackage{../../../../doc/latex/cactus} + +\begin{document} + +% The author of the documentation +\author{Erik Schnetter \textless schnetter@aei.mpg.de\textgreater} + +% The title of the document (not necessarily the name of the Thorn) +\title{Dissipation} + +% the date your document was last changed, if your document is in CVS, +% please use: +\date{$ $Date$ $} + +\maketitle + +% Do not delete next line +% START CACTUS THORNGUIDE + +% Add all definitions used in this documentation here +% \def\mydef etc + +% Add an abstract for this thorn's documentation +\begin{abstract} +Add fourth order Kreiss-Oliger dissipation to the right hand side of +evolution equations. This thorn is intended for time evolutions that +use MoL. +\end{abstract} + +% The following sections are suggestive only. +% Remove them or add your own. + +\section{Physical System} +For a description of the artificial dissipation, see +\cite{kreiss-oliger}. + +\subsection{Acknowledgements} +I thank Scott Hawley who wrote a very similar thorn +\texttt{HawleyThorns/Dissipation} for evolutions that do not use MoL; +this thorn here is modelled after his. + +\begin{thebibliography}{9} +\bibitem{kreiss-oliger} +H. Kreiss and J. Oliger, \emph{Methods for the Approximate Solution of +Time Dependent Problems}, vol.\ 10 of Global Atmospheric Research +Programme (GARP): GARP Publication Series (GARP Publication, 1973) +\end{thebibliography} + +% Do not delete next line +% END CACTUS THORNGUIDE + +\end{document} -- cgit v1.2.3