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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>5.2.2 Bottom-up construction</TITLE><LINK REL=STYLESHEET TYPE="text/css"	HREF="./Modulef.css" TITLE="Modulef CSS"><meta name="description" value="5.2.2 Bottom-up construction"><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=tex2html1739 HREF="node71.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/previous_motif.gif"	ALT="previous"></A><A NAME=tex2html1743 HREF="node70.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/up_motif.gif"	ALT="up"></A><A NAME=tex2html1745 HREF="node73.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/next_motif.gif"	ALT="next"></A><A NAME=tex2html1747 HREF="node2.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/contents_motif.gif"	ALT="contents"></A><A NAME=tex2html1748 HREF="node28.html"><IMG BORDER=0 ALIGN=BOTTOM SRC="../icons/index_motif.gif"	ALT="index"></A><A HREF="../Guide3-18/node72.html"><IMG BORDER=0 SRC="../icons/zoom18.gif" ALIGN=BOTTOM	ALT="[BIG]"></A><A HREF="../Guide3-14/node72.html"><IMG BORDER=0 SRC="../icons/zoom14.gif" ALIGN=BOTTOM	ALT="[Normal]"></A><A HREF="../Guide3-10/node72.html"><IMG BORDER=0 SRC="../icons/zoom10.gif" ALIGN=BOTTOM	ALT="[small]"></A><BR><B> Next: </B> <A NAME=tex2html1746 HREF="node73.html">5.3 A three-dimensional example</A><B>Up: </B> <A NAME=tex2html1744 HREF="node70.html">5.2 A two-dimensional example</A><B> Prev: </B> <A NAME=tex2html1740 HREF="node71.html">5.2.1 Top-down analysis</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=SECTION00822000000000000000>5.2.2 Bottom-up construction</A></H2><P>Starting from the &quot;highest&quot; notion, the domain, we distinguished the different useful notions in the  preceding section: mesh generators, contours, lines, points.  The actual creation of the mesh is performed in theinverse direction, i.e., by starting from the &quot;lowest&quot; notion, the point, in order to define the domain stepby step.<P><UL><LI> definition of the points;<LI> construction of the lines using the points and possible curves;<LI> definition of the curves from the lines;<LI> construction of the meshes from the primal parts;<LI> transformations of these meshes until the desired result is obtained;<LI> saving the final mesh on file</UL><P><P><A NAME=6071>&#160;</A><IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img200.gif"><BR><STRONG>Figure 5.2:</STRONG> <i> The characteristic items</i><A NAME=figfour2>&#160;</A><BR><P><P>Figure <A HREF="node72.html#figfour2">5.2</A> indicates the 13 points necessary to define the geometry. The 16 lines used for theconstruction are also shown. Next, the contours are formed:<P><DL COMPACT><DT>i<DD> for the shield: lines l1, l7, l5, l6, in this order. The number of points on lines l1 andl5, on the one hand, and those on l7 and l6 on the other hand, are equal.<DT>ii<DD> for the air zone: lines l2, l3, l4, l7, l8, l16, l13, l12, in this order. As l2 is defined frompoint P2 to point P3, the direction of l2 is positive when traversing the contour. Note that the 4 last lines are input in the negative direction (to indicate the presence of a hole), consequently l8 will be traversed in reverse (in relation to its definition).<DT>iii<DD> for the circle: the set of lines l10, l11, are defined via a function parser. Consequently, these 2 lines will have  a geometric description number assigned to indicate this option and, as reference number, have the number given to this curve. Furthermore, it is necessary to ensure that theselines are defined in the positive direction (by the choice of their 2 end-points). <DT>iv<DD> for the semiconductor: lines l8, l9, l10, l11, l14, l16; the first line (l8) of this contour is seen in the positive direction.<DT>v<DD> for the half-cooling circuit: lines l15, l11, l10; by choosing l15  as the first lineit means that it is seen in its defined direction.<P> </DL><P><P><A NAME=6080>&#160;</A><IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img201.gif"><BR><STRONG>Figure 5.3:</STRONG> <i> The meshed domain</i><A NAME=figfour3>&#160;</A><BR><P><P>The data file is given below:<P><PRE>'PART_OVEN                                                           ' COURBES     1                                 $ IMPRE COURBE01(X,Y)=       X*X+Y*Y-4.;                                                     FIN'POINTS                                                              '     1    13                            $ IMPRE NPOINT  $$   NOP   NOREF(NOP)     X(NOP).            Y(NOP).  $     1       0         -.525000E+01     -.300000E+01     2       0         -.300000E+01     -.300000E+01     3       0         0.500000E+01     -.300000E+01     4       0         -.212132E+01     -.212132E+01     5       0         0.212132E+01     -.212132E+01     6       1         -.141421E+01     -.141421E+01     7       1         0.141421E+01     -.141421E+01     8       1         -.141421E+01     0.141421E+01     9       0         -.212132E+01     0.212132E+01    10       0         0.212132E+01     0.212132E+01    11       0         -.525000E+01     0.300000E+01    12       0         -.300000E+01     0.300000E+01    13       0         0.500000E+01     0.300000E+01'LIGNES                                                              '     1    16                            $ IMPRE  NDLM   $$   NOLIG NOELIG NEXTR1 NEXTR2 NOREFL NFFRON       RAISON $       1      5      1      2      0      0     0.100000E+01       2     10      2      3      0      0     0.100000E+01       3      8      3     13      0      0     0.100000E+01       4     10     13     12      0      0     0.100000E+01       5      5     12     11      0      0     0.100000E+01       6      8     11      1      0      0     0.100000E+01       7      8      2     12      0      0     0.100000E+01       8      7      4      5      0      0     0.100000E+01       9      2      5      7      0      0     0.100000E+01      10      6      6      7      1     10     0.100000E+01      11      6      8      6      1     10     0.100000E+01      12      7      5     10      0      0     0.100000E+01      13      7     10      9      0      0     0.100000E+01      14      2      8      9      0      0     0.100000E+01      15      8      7      8      0      0     0.100000E+01      16      7      9      4      0      0     0.100000E+01'QUAC                                                                '     1     0     4     4     1          $ IMPRE NIVEAU NUDSD NBRELI NS1L $ LIST OF CONTOUR LINES :     1     7     5     6     5     1                            $ IMAX NQUAD'TRIH                                                                '     1     1     3     8     1          $ IMPRE NIVEAU NUDSD NBRELI NS1L $ LIST OF CONTOUR LINES :     2     3     4     7     8    16    13    12     2     0     1                      $ NCOMP NBRINT IOPT $     4                                  $ COMPONENT $     -4                                 $ COMPONENT $'TRIH                                                                '     1     2     2     6     1          $ IMPRE NIVEAU NUDSD NBRELI NS1L $ LIST OF CONTOUR LINES :     8     9    10    11    14    16     1     0     1                      $ NCOMP NBRINT IOPT $     6                                  $ COMPONENT $'TRIH                                                                '     1     3     1     3     1          $ IMPRE NIVEAU NUDSD NBRELI NS1L $ LIST OF CONTOUR LINES :    15    11    10     1     0     1                      $ NCOMP NBRINT IOPT $     3                                  $ COMPONENT $

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