From 84249ca9b1dbd1d1aba16efdb9c92c18454bb950 Mon Sep 17 00:00:00 2001 From: jthorn Date: Thu, 22 Jan 2004 12:21:48 +0000 Subject: [[from Jonathan & Steve working together]] * redo glossary entry for "computational grid" * expand entry for "grid function" git-svn-id: http://svn.cactuscode.org/flesh/trunk@3559 17b73243-c579-4c4c-a9d2-2d5706c11dac --- doc/UsersGuide/Appendices.tex | 13 +++++++++++++ 1 file changed, 13 insertions(+) (limited to 'doc/UsersGuide/Appendices.tex') diff --git a/doc/UsersGuide/Appendices.tex b/doc/UsersGuide/Appendices.tex index 945c4470..0215b5d0 100644 --- a/doc/UsersGuide/Appendices.tex +++ b/doc/UsersGuide/Appendices.tex @@ -70,6 +70,12 @@ Cactus Users' Guide and the Cactus Reference Manual. restarted at a later time. See Sections~\ref{sec:checkpointing}, \ref{chap:cp_recovery_methods}. \item[computational grid] + A discrete finite set of spatial points in $\Re^n$ + (typically $1 \le n \le 3$). + Historically Cactus has required these points to be uniformly spaced + (we say the grid is uniformly spaced), but we are now starting to add + support for non-uniform spacings (we say the grid is non-uniformly spaced). + See \textit{grid functions} for the typical use of grid points. \item[convergence] Important, but often neglected. \item[CST] @@ -112,6 +118,13 @@ Cactus Users' Guide and the Cactus Reference Manual. \item[grid function] A \textit{grid variable} whose global size is the size of the computational grid. (See also \textit{local array}.) + From another perspective, + \textit{grid functions} are functions (of any of the Cactus + datatypes (see section~\ref{sect-ThornWriting/DataTypes}) + defined on the domain of grid points. + Typically grid functions are used to discretely approximate functions + defined on the domain $\Re^n$, with \textit{finite differencing} + used to approximate partial derivatives. \item[grid hierarchy] A computational grid, and the grid variables associated with it. \item[grid point] -- cgit v1.2.3