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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>1.3.1 The  NOPO data structure</TITLE><LINK REL=STYLESHEET TYPE="text/css"	HREF="./Modulef.css" TITLE="Modulef CSS"><meta name="description" value="1.3.1 The  NOPO data structure"><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=tex2html941 HREF="node7.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif"	ALT="previous"></A><A NAME=tex2html947 HREF="node7.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif"	ALT="up"></A><A NAME=tex2html949 HREF="node9.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif"	ALT="next"></A><A NAME=tex2html951 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif"	ALT="contents"></A><A NAME=tex2html952 HREF="node28.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/index_motif.gif"	ALT="index"></A><A HREF="../Guide3-18/node8.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM	ALT="[BIG]"></A><A HREF="../Guide3-14/node8.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM	ALT="[Normal]"></A><A HREF="../Guide3-10/node8.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM	ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html950 HREF="node9.html">1.3.2 Introduction of a curve</A><B>Up: </B> <A NAME=tex2html948 HREF="node7.html">1.3 Main ideas</A><B> Prev: </B> <A NAME=tex2html942 HREF="node7.html">1.3 Main ideas</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=SECTION00331000000000000000>1.3.1 The  NOPO data structure</A></H2><P>The internal representation of a mesh must allows us to find a particular value (quantity stored in the representation) rapidly, or  to calculate a value easily from  information presented (quantity deduced fromstored information).A mesh is therefore, in general, an assembly of values and arrays of values containing the set of geometric elements which constitute it. The following information is necessary for each element:<P><UL><LI> the <i> nature</i> of the element: segment, triangle, quadrangle, tetrahedra, pentahedra, hexahedra, or a particular element; <LI> the list of the <i> vertices</i> of the element; <LI> the element <i> connectivity</i> and <i> topology</i> (the connectivity describes the connectivity between the vertices, the topology defines the edges and faces of the elements in relation to  the vertices);                                                    <LI> the  <i> number</i> and list of the nodes; <LI> the  <i> coordinates</i> of the vertices;<LI> the  <i> physical attributes</i> of the element:<UL><LI> a <i> sub-domain number</i> or material number. This number, assigned to each element,   characterizes it  with regard to a treatment of type:<P><P><P><DIV ALIGN=center><TABLE COLS=1 BORDER FRAME=BOX RULES=NONE><COL ALIGN=LEFT><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP> sub-domain number  <IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img2.gif">  &quot;volumetric&quot; treatment  </TD></TR></TABLE></DIV><P><P><P><LI> <i> reference numbers</i> or <i> references</i>. This number is assigned to the items which constitute an element (faces, edges, points) and enables these items to be characterized with regard to a treatment of type:<P><P><P><DIV ALIGN=center><TABLE COLS=1 BORDER FRAME=BOX RULES=NONE><COL ALIGN=LEFT><TR><TD VALIGN=BASELINE ALIGN=LEFT NOWRAP> reference number  <IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img2.gif">  &quot;sub-volumetric&quot; treatment </TD></TR></TABLE></DIV><P><P><P></UL></UL><P>The MODULEF code stores this information in a <b> NOPO</b> data structure, constituting the natural interfacebetween the different mesh modules.<P><P><P><b> Remark:</b><P><UL><LI>  The sub-domains<A NAME=472>&#160;</A>: The notion of materials is refined to distinguish two identical media subject to different conditions: as many sub-domain numbers are assigned as  required to make this distinction;<LI> The references<A NAME=473>&#160;</A>: This attribute has two functions:<UL><LI> to characterize the items (edges and points) with respect to a boundary condition type treatment  (loads, prescribed values, etc.)                                                   <LI> to describe a boundary from a geometric point of view: i.e. to associate a curve equation to a portion of the boundary and force, in this way, the mesh to approach this curve. </UL><P>As many  reference numbers are assigned as required in order to incorporate the entire set of descriptions.<P></UL><P><P><P><HR SIZE=3 WIDTH="75&#37;"><IMG SRC="../icons/smallmod.gif" WIDTH=211 HEIGHT=50 ALIGN=BOTTOM	ALT="Modulef"><A NAME=tex2html941 HREF="node7.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif"	ALT="previous"></A><A NAME=tex2html947 HREF="node7.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif"	ALT="up"></A><A NAME=tex2html949 HREF="node9.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif"	ALT="next"></A><A NAME=tex2html951 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif"	ALT="contents"></A><A NAME=tex2html952 HREF="node28.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/index_motif.gif"	ALT="index"></A><A HREF="../Guide3-18/node8.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM	ALT="[BIG]"></A><A HREF="../Guide3-14/node8.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM	ALT="[Normal]"></A><A HREF="../Guide3-10/node8.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM	ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html950 HREF="node9.html">1.3.2 Introduction of a curve</A><B>Up: </B> <A NAME=tex2html948 HREF="node7.html">1.3 Main ideas</A><B> Prev: </B> <A NAME=tex2html942 HREF="node7.html">1.3 Main ideas</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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