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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>3.4.1 Quick description of the method</TITLE><LINK REL=STYLESHEET TYPE="text/css"	HREF="./Modulef.css" TITLE="Modulef CSS"><meta name="description" value="3.4.1 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=tex2html1591 HREF="node59.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif"	ALT="previous"></A><A NAME=tex2html1597 HREF="node59.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif"	ALT="up"></A><A NAME=tex2html1599 HREF="node61.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif"	ALT="next"></A><A NAME=tex2html1601 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif"	ALT="contents"></A><A NAME=tex2html1602 HREF="node28.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/index_motif.gif"	ALT="index"></A><A HREF="../Guide3-18/node60.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM	ALT="[BIG]"></A><A HREF="../Guide3-14/node60.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM	ALT="[Normal]"></A><A HREF="../Guide3-10/node60.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM	ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html1600 HREF="node61.html">3.4.2 Description of the input data</A><B>Up: </B> <A NAME=tex2html1598 HREF="node59.html">3.4 Method for a hexahedral topology</A><B> Prev: </B> <A NAME=tex2html1592 HREF="node59.html">3.4 Method for a hexahedral topology</A><B><A HREF="node28.html"	>Index</A></B><B><A HREF="node2.html"	>Contents</A></B><HR SIZE=3 WIDTH="75&#37;"><H2><A NAME=SECTION00641000000000000000>3.4.1 Quick description of the method</A></H2><P>Adapted to  cubic type geometries, this method <A NAME=5066>&#160;</A> leads to the mesh of the domain in hexahedra (which could be split subsequently)from the point data in three directions.<P>By being placed in the plane defined by the two first directions, a mesh is constructed.It consists of quadrilaterals  whose vertices are deduced by &quot;multiplying&quot; the two setsof points associated to the directions. Each element of this mesh serves to construct a stacking of hexahedra by &quot;multiplication&quot;  with the points in  the third direction (figure <A HREF="#figFb">3.27</A>).<P><P><A NAME=5133>&#160;</A><IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img158.gif"><BR><STRONG>Figure 3.27:</STRONG> <i> 2D partitioning  and  associated 3D  construction</i><A NAME=5129i2Dpartitioningandassociated3Dconstructioni5129>&#160;</A><BR><P><P><P><P>Relatively simple in principle, this method is used to solve the mesh problem of rather complex domainsentering in the frameworks of this particular topology.The connectivity is of finite difference type  (i, j, k) and the position of the vertices is definedvia the points given in the three privileged directions.<P>This technique produces essentially hexahedra. The latter can in turn be split into  two pentahedra or five or six tetrahedra (see below).<P><HR SIZE=3 WIDTH="75&#37;"><IMG SRC="../icons/smallmod.gif" WIDTH=211 HEIGHT=50 ALIGN=BOTTOM	ALT="Modulef"><A NAME=tex2html1591 HREF="node59.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif"	ALT="previous"></A><A NAME=tex2html1597 HREF="node59.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif"	ALT="up"></A><A NAME=tex2html1599 HREF="node61.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif"	ALT="next"></A><A NAME=tex2html1601 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif"	ALT="contents"></A><A NAME=tex2html1602 HREF="node28.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/index_motif.gif"	ALT="index"></A><A HREF="../Guide3-18/node60.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM	ALT="[BIG]"></A><A HREF="../Guide3-14/node60.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM	ALT="[Normal]"></A><A HREF="../Guide3-10/node60.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM	ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html1600 HREF="node61.html">3.4.2 Description of the input data</A><B>Up: </B> <A NAME=tex2html1598 HREF="node59.html">3.4 Method for a hexahedral topology</A><B> Prev: </B> <A NAME=tex2html1592 HREF="node59.html">3.4 Method for a hexahedral topology</A><B><A HREF="node28.html"	>Index</A></B><B><A HREF="node2.html"	>Contents</A></B><BR> <HR><P><ADDRESS></ADDRESS></BODY></HTML>

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