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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>2.2 Symmetrization and "gluing together" of a D.S. B</TITLE><LINK REL=STYLESHEET TYPE="text/css" HREF="./Modulef.css" TITLE="Modulef CSS"><meta name="description" value="2.2 Symmetrization and "gluing together" of a D.S. B"><meta name="keywords" value="Guide6"><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=tex2html639 HREF="node12.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif" ALT="previous"></A><A NAME=tex2html645 HREF="node11.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif" ALT="up"></A><A NAME=tex2html647 HREF="node14.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif" ALT="next"></A><A NAME=tex2html649 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif" ALT="contents"></A><A HREF="../Guide6-18/node13.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM ALT="[BIG]"></A><A HREF="../Guide6-14/node13.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM ALT="[Normal]"></A><A HREF="../Guide6-10/node13.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html648 HREF="node14.html">2.3 Manipulation of a D.S. B </A><B>Up: </B> <A NAME=tex2html646 HREF="node11.html">2 Manipulation of solutions</A><B> Prev: </B> <A NAME=tex2html640 HREF="node12.html">2.1 Manual construction of a D.S. </A><B><A HREF="node2.html" >Contents</A></B><HR SIZE=3 WIDTH="75%"><H1><A NAME=SECTION03320000000000000000>2.2 Symmetrization and "gluing together" of a D.S. B</A></H1><P><P><P><H2><A NAME=SECTION03321000000000000000>2.2.1 Symmetrization</A></H2><P><P><P>When a problem, for example in elasticity, presents a symmetry from a geometrical point, aswell as a physical data point of view, the calculations only need to be performed on half thedomain. The result obtained can then be symmetrized and "glued" to the preceding to construct the solutionon the whole domain.<P>Preprocessor <b> SYMBXX</b> is used to construct a symmetric D.S. <b> B</b> with respect to a line (plane) froma given D.S. <b> B</b>.<P><PRE> SUBROUTINE SYMBEL(M,DM,NFB,NIB,NFBS,NIBS,NDIM,AA,BB,CC,DD)C +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++C AIM : SYMMETRY TRIDIM WITH RESPECT TO A PLANE D A D.S. BC --- SYMMETRY BIDIM WITH RESPECT TO A LINE D A D.S. BC LIMITS : ELASTICITY PROBLEMC ------ THE D.O.F. ARE THE DISPLACEMENTSC +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++</PRE><P>where<P><UL><LI> M and DM represent the super array,<LI> NFB, NIB are the file number and the level of the I.D.S. <b> B</b>,<LI> NFBS, NIBS are the file number and the level of the O.D.S. <b> B</b>,<LI> NDIM is the space dimension,<LI> AA, BB, CC and DD are the coefficients defining the line (only the 3 first coefficients are used) or the plane of symmetry.</UL><P><DL COMPACT><DT>Remark:<DD> the same treatment applies to a thermal problem in which we consider the samestructure <b> B</b> twice and "glue together" the whole.<P> </DL><P><P><P><H2><A NAME=SECTION03322000000000000000>2.2.2 Gluing together</A></H2><P>Preprocessor <b> RECOXX</b> is used to construct the D.S. <b> B</b> resulting from the gluing together of two <b> B</b> structures while, in parallel, combining the corresponding <b> NOPO</b> structures.<P><P><P><HR SIZE=3 WIDTH="75%"><IMG SRC="../icons/smallmod.gif" WIDTH=211 HEIGHT=50 ALIGN=BOTTOM ALT="Modulef"><A NAME=tex2html639 HREF="node12.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif" ALT="previous"></A><A NAME=tex2html645 HREF="node11.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif" ALT="up"></A><A NAME=tex2html647 HREF="node14.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif" ALT="next"></A><A NAME=tex2html649 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif" ALT="contents"></A><A HREF="../Guide6-18/node13.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM ALT="[BIG]"></A><A HREF="../Guide6-14/node13.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM ALT="[Normal]"></A><A HREF="../Guide6-10/node13.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html648 HREF="node14.html">2.3 Manipulation of a D.S. B </A><B>Up: </B> <A NAME=tex2html646 HREF="node11.html">2 Manipulation of solutions</A><B> Prev: </B> <A NAME=tex2html640 HREF="node12.html">2.1 Manual construction of a D.S. </A><B><A HREF="node2.html" >Contents</A></B><BR> <HR><P><ADDRESS></ADDRESS></BODY></HTML>
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