From 8deedc12886432f70cba145c070161d3442be55a Mon Sep 17 00:00:00 2001
From: allen <allen@9ea3c693-0e4f-0410-9b72-c04bdc00281e>
Date: Mon, 20 May 2002 16:22:09 +0000
Subject: This commit was generated by cvs2svn to compensate for changes in r2,
 which included commits to RCS files with non-trunk default branches.

git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinInitialData/IDConstraintViolate/trunk@3 9ea3c693-0e4f-0410-9b72-c04bdc00281e
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 doc/documentation.tex | 60 +++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 60 insertions(+)
 create mode 100644 doc/documentation.tex

(limited to 'doc')

diff --git a/doc/documentation.tex b/doc/documentation.tex
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+% /*@@
+%   @file      documentation.tex
+%   @date      20 May 2002
+%   @author    Gabrielle Allen
+%   @desc 
+%              IDConstraintViolate
+%   @enddesc 
+%   @version $Header$
+% @@*/
+
+\documentclass{article}
+
+\newif\ifpdf
+\ifx\pdfoutput\undefined
+\pdffalse % we are not running PDFLaTeX
+\else
+\pdfoutput=1 % we are running PDFLaTeX
+\pdftrue
+\fi
+
+\ifpdf
+\usepackage[pdftex]{graphicx}
+\else
+\usepackage{graphicx}
+\fi
+
+\parskip = 0 pt
+\parindent = 0pt
+\oddsidemargin = 0 cm
+\textwidth = 16 cm
+\topmargin = -1 cm
+\textheight = 24 cm
+
+\begin{document}
+\title{Creating Constraint Violating Initial Data}
+\author{Gabrielle Allen}
+\date{$Date$}
+
+\maketitle
+
+\abstract{The \texttt{IDConstraintViolate} thorn creates initial data
+which purposefully violates the constraint equations for testing purposes.
+}
+
+
+\section{Gaussian}
+
+Choosing the {\tt ADMBase} parameter {\tt initial\_data} to have the 
+value {\tt Constraint violating gaussian} creates initial data with the
+form
+\begin{eqnarray*}
+g_{xx} = g_{yy} = g_{zz} &=& 1 + A \exp \left(\frac{-(r-r_0)^2}{\sigma^2}\right)
+\\
+g_{xy} = g_{xz} = g_{yz} &=& 0
+\\
+K_{ij} &=& 0
+\end{eqnarray*}
+where the size and shape of the Gaussian is specified by parameters, $A$={\tt amplitude}, $r_0$={\tt radius} and $\sigma$={\tt sigma}.
+
+\end{document}
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