aboutsummaryrefslogtreecommitdiff
path: root/doc
diff options
context:
space:
mode:
authorallen <allen@9ea3c693-0e4f-0410-9b72-c04bdc00281e>2002-05-20 16:22:09 +0000
committerallen <allen@9ea3c693-0e4f-0410-9b72-c04bdc00281e>2002-05-20 16:22:09 +0000
commit8deedc12886432f70cba145c070161d3442be55a (patch)
tree4276f905d8718030a21a859d80fca31540518520 /doc
parenta5f89e5c6d0773ed95b2b685a6e67bd492c6289e (diff)
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
Diffstat (limited to 'doc')
-rw-r--r--doc/documentation.tex60
1 files changed, 60 insertions, 0 deletions
diff --git a/doc/documentation.tex b/doc/documentation.tex
new file mode 100644
index 0000000..0643d7a
--- /dev/null
+++ b/doc/documentation.tex
@@ -0,0 +1,60 @@
+% /*@@
+% @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}