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<!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML 3.2 Final//FR"><!-- Converted with LaTeX2HTML 95.1 (Fri Jan 20 1995) --><!-- by Nikos Drakos (nikos@cbl.leeds.ac.uk), CBLU, University of Leeds --><!-- Modified Simulog 03/97 --><HTML><HEAD><TITLE>3.2.1 Quick description of the method</TITLE><LINK REL=STYLESHEET TYPE="text/css" HREF="./Modulef.css" TITLE="Modulef CSS"><meta name="description" value="3.2.1 Quick description of the method"><meta name="keywords" value="Guide3"><meta name="resource-type" value="document"><meta name="distribution" value="global"></HEAD><BODY BGCOLOR="#FFFFFF"><P> <IMG SRC="../icons/smallmod.gif" WIDTH=211 HEIGHT=50 ALIGN=BOTTOM ALT="Modulef"><A NAME=tex2html1419 HREF="node45.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif" ALT="previous"></A><A NAME=tex2html1425 HREF="node45.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif" ALT="up"></A><A NAME=tex2html1427 HREF="node47.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif" ALT="next"></A><A NAME=tex2html1429 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif" ALT="contents"></A><A NAME=tex2html1430 HREF="node28.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/index_motif.gif" ALT="index"></A><A HREF="../Guide3-18/node46.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM ALT="[BIG]"></A><A HREF="../Guide3-14/node46.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM ALT="[Normal]"></A><A HREF="../Guide3-10/node46.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html1428 HREF="node47.html">3.2.2 Calling of module COLIB2</A><B>Up: </B> <A NAME=tex2html1426 HREF="node45.html">3.2 Multi-block method</A><B> Prev: </B> <A NAME=tex2html1420 HREF="node45.html">3.2 Multi-block method</A><B><A HREF="node28.html" >Index</A></B><B><A HREF="node2.html" >Contents</A></B><HR SIZE=3 WIDTH="75%"><H2><A NAME=SECTION00621000000000000000>3.2.1 Quick description of the method</A></H2><P><P><P>The multi-block method<A NAME=4312> </A>, [<A HREF="node76.html#bibgeo4">George-1989d</A>] and [<A HREF="node76.html#bibgeo7">George-1991</A>], generates a mesh of a two- or three-dimensional domain from a structured splitting (by an algebraic method) of a coarse mesh of this domain. This mesh consists of an assembly of geometrically standard blocks (segment, triangle, quadrilateral, tetrahedron, pentahedron, hexahedron) on the sides on whichcontrol points are given.The control points determine, on one hand, the geometry of the domain in terms of their position and,on the other hand, the fineness of the splitting and therefore the size of the elements of the final mesh.They must be equal, in number, on 2 logically connected sides.<P><P><A NAME=4544> </A><IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img116.gif"><BR><STRONG>Figure 3.1:</STRONG> <i> Domain, initial blocks and approximate domain</i><A NAME=4540iDomaininitialblocksandapproximatedomaini4540> </A><BR><P><P>Figure <A HREF="#figbloc0">3.1</A> shows the domain under consideration, the coarse meshing into 2 blocks and itsapproximation by the given control points. Note that the number of points on the connected sides arethe same. Figure <A HREF="#figbloc1">3.2</A> exhibits the result obtained.<P><P><A NAME=4554> </A><IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img117.gif"><BR><STRONG>Figure 3.2:</STRONG> <i> Mesh of the domain obtained from the description given</i><A NAME=4550iMeshofthedomainobtainedfromthedescriptiongiveni4550> </A><BR><P><P>The principal steps of the method are given below:<P><UL><LI> Data corresponding to the coarse vertices:<P>The data corresponding to the coarse vertices defines the blocks of the coarse mesh. The latter is input in R
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