From 57cac41a9229099b732211e252e8e2d97dd9c9ed Mon Sep 17 00:00:00 2001
From: pollney <pollney@936e0995-0e4f-0410-aade-aa24bf7baf3d>
Date: Thu, 16 May 2002 20:15:08 +0000
Subject: Added a page of documention.

git-svn-id: http://svn.cactuscode.org/arrangements/CactusNumerical/Noise/trunk@10 936e0995-0e4f-0410-aade-aa24bf7baf3d
---
 doc/documentation.tex | 82 +++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 82 insertions(+)
 create mode 100644 doc/documentation.tex

diff --git a/doc/documentation.tex b/doc/documentation.tex
new file mode 100644
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+% /*@@
+%   @file      documentation.tex
+%   @date      16 May 2002
+%   @author    Denis Pollney
+%   @desc 
+%              Thorn Noise user's guide.
+%   @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{Using the \texttt{Noise} thorn}
+\author{Denis Pollney}
+\date{April 2002}
+
+\maketitle
+
+The \texttt{Noise} thorn can be used to place random values on
+Cactus grid functions at initial data and at the boundaries during
+evolution. This can be used to carry out ``robust stability'' tests,
+such as those proposed by Jeff Winicour.\\
+
+\section{Initial data}
+
+To apply a random perturbation to initial data, set
+\texttt{noise::apply\_id\_noise="yes"}. Then each grid function
+listed in the parameter \texttt{noise::id\_vars} will be adjusted
+by a random factor. The maximum size of the random perturbation is
+controlled by the parameter \texttt{noise::amplitude}. The
+perturbations are applied during the \texttt{CCTK\_POSTINITIAL}
+time bin.
+
+\section{Boundary conditions}
+
+A random number will be added to each point on the boundary of grid
+functions listed in the \texttt{noise::bc\_vars} parameter if the
+flag \texttt{noise::apply\_bc\_noise="yes"} is set. As with the
+initial data, the maximum size of the perturbation is given by the
+\texttt{noise::amplitude} parameter. The adjustments are applied at
+each \texttt{CCTK\_POSTSTEP}.
+
+\section{Example}
+
+The following parameters can be used to apply a random adjustment 
+of size $A=\pm0.0005$ to the initial data and boundaries of the metric
+variables.
+\begin{verbatim}
+  ActiveThorns = "... Noise ..."
+
+  noise::apply_id_noise = "yes"
+  noise::id_vars        = "admbase::metric"
+
+  noise::apply_bc_noise = "yes"
+  noise::bc_vars        = "admbase::metric"
+
+  noise::amplitude      = 0.001
+\end{verbatim}
+
+\end{document}
\ No newline at end of file
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