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gmsh.html

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    gmsh.html 14.40 KiB 
    <!---BEGINSCRIPT#!/bin/sh

BASEDIR=/usr/local/cgi-bin

echo Content-type: text/html
echo
cat << EOM 
ENDSCRIPT--->

<HTML>

<!--- PLEASE DO NOT EDIT the BEGINSCRIPT and ENDSCRIPT comments --->

<HEAD>

<TITLE>Gmsh homepage</TITLE>

<meta name="description" content="Gmsh is a free automatic
three-dimensional finite element mesh generator with pre- and
post-processing facilities.">

<meta name="keywords" content="free mesh generator, free finite element software,
mesh generation, mesh refinement, free, delaunay triangulation,
automatic, maillages automatiques, mailleur, modelisation, opengl,
maillages 3D, 3D meshes, 3-D meshes, maillages 3-D, voronoi,
adaptation de maillages, mesh adaptation, modeling">

<META name="Autor-Handle" content="Christophe.Geuzaine@advalvas.be">

</HEAD>

<body text="#000000" bgcolor="#ffffff" background="/gmsh/images/background.gif">

<!------------------------------------------------------------------>

<table width="100%" border=0 cellspacing=10 cellpadding=5>

<tr valign=bottom>

  <td width="130" align="right" valign=top><font size=-2  face="Helvetica, Arial" color="#fffff">

<!---BEGINSCRIPT
EOM
${BASEDIR}/n2l ${BASEDIR}/counter.gmsh
cat << EOM
page requests since<br>1998/05/24<p>
ENDSCRIPT--->

<!---BEGINMIRROR
This page is a mirror of <a href="/gmsh/">/gmsh/</a><p>
ENDMIRROR--->

<!---BEGINDATE$Date: 2001-04-25 16:11:03 $ENDDATE--->

Copyright &copy; 1998-2001<br>
Jean-François Remacle and
Christophe Geuzaine<br>

  </font></td>

  <td width="60">
  </td>

  <td><font face="Helvetica, Arial">
    <font size="+3"><b>Gmsh</b></font>
    <p>
    <b>A three-dimensional finite element mesh generator with built-in pre- and
       post-processing facilities</b>
     
  </font></td>
    
</tr>

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<tr valign=bottom>

  <td><spacer type="vertical" size=20>
  </td>

</tr>

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<tr valign=top>

  <td width="130" align="right">
    <font color="#ffffff" face="Helvetica, Arial"><b>General Description</b></font></td>

  <td width="60">
  </td>

  <td><font face="Helvetica, Arial" size=-1>

Gmsh is an automatic three-dimensional finite element mesh generator,
primarily Delaunay, with built-in pre- and post-processing
facilities. Its primal goal is to provide a simple meshing tool for
academic test cases with parametric input and up to date visualization
capabilities. One of the strengths of Gmsh is its ability to respect a
characteristic length field for the generation of adapted meshes on
lines, surfaces and volumes. These adapted meshes can be mixed with
simple structured (transfinite, elliptic, etc.)  meshes in order to
augment the flexibility.

<!------------------------------------------------------------------>

<tr valign=top>

  <td width="130" align="right">
    <font color="#ffffff" face="Helvetica, Arial"><b>Geometrical Entity Definition</b></font></td>

  <td width="60">
  </td>

  <td><font face="Helvetica, Arial" size=-1>

Parameterized geometries are created by successively defining points,
oriented curves (segments, circles, ellipsis, splines, etc.), oriented
surfaces (plane surfaces, ruled surfaces, etc.)  and volumes. Compound
groups of geometrical entities can be defined, based on these
elementary parameterized geometric entities. Data can be defined
either interactively thanks to the menu system, or directly in the ASCII 
input files.

  </td>

</tr>

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<tr valign=top>

  <td width="130" align="right">
    <font color="#ffffff" face="Helvetica, Arial"><b>Mesh Generation</b></font></td>

  <td width="60">
  </td>

  <td><font face="Helvetica, Arial" size=-1>

    A finite element mesh is a tessellation of a given subset of R^3 by
elementary geometrical elements of various shapes (in this case lines,
triangles, quadrangles, tetrahedra, prisms and hexahedra), arranged in
such a way that two of them intersect, if they do, along a common
face, edge or node, and never otherwise. All the finite element meshes
produced by Gmsh as unstructured, even if they were generated in
a structured way. This implies that the elementary geometrical
elements are defined only by an ordered list of their vertices (which
allows the orientation of all their lower order geometrical entities)
but no predefined relation is assumed between any two elementary
elements.
<p>
The procedure follows the same order as for the geometry creation:
curves are discretized first; the mesh of the curves is then used to
mesh the surfaces; then the mesh of the surfaces is used to mesh the
volumes. This automatically assures the continuity of the mesh when,
for example, two surfaces share a common curve. Every meshing step is
constrained by the characteristic length field, which can be uniform,
specified by characteristic length associated to elementary
geometrical entities, or associated to another mesh (the background
mesh).
<p>
For each meshing step (i.e. the discretization of lines, surfaces and
volumes), all structured mesh directives are executed first, and serve
as additional constraints for the unstructured parts. The implemented
Delaunay algorithm is subdivided in the following five steps for
surface/volume discretization:
<p>
<ol>
<li>
trivial meshing of a box including the convex polygon/polyhedron
defined by the boundary nodes resulting from the discretization of the
curves/surfaces; 
<li>
creation of the initial mesh by insertion of all the nodes on the
curves/surfaces thanks to the Bowyer algorithm; 
<li>
boundary restoration to force all the edges/faces of the
curves/surfaces to be present in the initial mesh;
<li>
suppression of all the unwanted triangles/tetrahedra (in
particular those containing the nodes of the initial box); 
<li>
insertion of new nodes by the Bowyer algorithm until the
characteristic size of each simplex is lower or equal to the
characteristic length field evaluated at the center of its
circumscribed circle/sphere.
</ol>


  </td>

</tr>

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<tr valign=top>

  <td width="130" align="right">
    <font color="#ffffff" face="Helvetica, Arial"><p><b>Scalar and Vector Field Visualization</b></font></td>

  <td width="60">
  </td>

  <td><font face="Helvetica, Arial" size=-1>

Multiple post-processing scalar or vector maps can be loaded and
manipulated (globally or individually) along with the geometry and the
mesh. Scalar fields are represented by iso-value curves or color maps
and vector fields by three-dimensional arrows or displacement
    maps. Post-processor functions include offsets, elevation, interactive
color map modification, range clamping, interactive and scriptable
animation, vector postscript output, etc. All post-processing options
can be accessed either interactively or through the the input ascii
files.

  </td>

</tr>

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<tr valign=top>

  <td width="130" align="right">
    <font color="#ffffff" face="Helvetica, Arial"><b>Documentation</b></font></td>

  <td width="60">
  </td>

  <td><font face="Helvetica, Arial" size=-1>

    <ul>
      <li><A target="_top" href="/gmsh/doc/tutorial.html">Online tutorial</A>
      <li><A target="_top" href="/gmsh/doc/FORMATS">Mesh and post-processing file formats</A>
      <li><A target="_top" href="/gmsh/doc/VERSIONS">Version history</A>
      <li><a target="_top" href="/gmsh/doc/FAQ">Frequently asked questions</a>
      <li><a target="_top" href="/gmsh/doc/README.txt">For Windows versions only</a>
<!------------
      <li><a target="_top" href="/gmsh/doc/BUGS">List of open bugs</a>
      <li><a target="_top" href="/gmsh/doc/CONTRIBUTORS">List of contributors</a>
----------->
    </ul>

  </td>

</tr>

<!------------------------------------------------------------------>

<!---BEGINSCRIPT

<tr valign=top>

  <td width="130" align="right">
    <font color="#ffffff" face="Helvetica, Arial"><b>Mailing lists</b></font></td>

  <td width="60">
  </td>

  <td align="left" colspan=2><font face="Helvetica, Arial" size=-1>

     <ul>
     <li><a target="_top"
     href="/mailman/listinfo/gmsh-announce/">gmsh-announce</a> is a
     moderated list for announcements about significant Gmsh
     events. You should subscribe to this list to get information
     about software releases, important bug fixes and other
     Gmsh-specific news. The list is archived <a target="_top"
     href="/pipermail/gmsh-announce/">here</a>.

     <li><a target="_top" href="/mailman/listinfo/gmsh/">gmsh</a> is
     the public mailing list for Gmsh users. You should send all
     questions, bug reports, requests or pleas for changes related to
     Gmsh to this list. The list is archived <a target="_top"
     href="/pipermail/gmsh/">here</a>
     </ul>

  </font></td>

    </tr>

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  <td width="130" align="right">
    <font color="#ffffff" face="Helvetica, Arial"><b>Search documentation</b></font></td>

  <td width="60">
  </td>

  <td align="left" colspan=2><font face="Helvetica, Arial" size=-1>

<form method="post" action="/cgi-bin/htsearch">
<input type="text" size="30" name="words" value="">
<input type="hidden" name="config" value="htdig">
<input type="hidden" name="exclude" value="">
&nbsp;
Match <select name="method">
<option value="and" selected>all words</option>
<option value="or">any words</option>
<option value="boolean">boolean expression</option>
</select>
Limit to <select name="restrict">
<option value="http://www.geuz.org/gmsh/">regular pages</option>
<option value="http://www.geuz.org/pipermail/gmsh/">mailing list</option>
</select>
</form>

  </font></td>

</tr>

ENDSCRIPT--->

<!------------------------------------------------------------------>

<tr valign=top>

  <td width="130" align="right"> 
    <font color="#ffffff" face="Helvetica, Arial"><b>Download</b></font></td>

  <td width="60">
  </td>

  <td bgcolor="#ededed"><font face="Helvetica, Arial" size=-1>

<b>Latest Release: 1.18 (April 25, 2001)</b>
<p>
Executable versions of Gmsh are available for Windows and for most of
the classical UNIX platforms. These versions are free, and are all
dynamically linked with OpenGL<a href="#opengl-footnote"
name="opengl-footmark"><sup>1</sup></a>. The only thing required if
you use Gmsh is to mention it in your work.The tutorial and demo files
are included in the archives.
<ul>
<li><A href="/gmsh/bin/gmsh-1.18-Windows.zip">Windows zip archive (95/98/NT)</A>
<li><A href="/gmsh/bin/gmsh-1.18-1.i386.rpm">Linux RPM (Red Hat 6.2 and compatible, i386, glibc 2.1)</A> 
<li><A href="/gmsh/bin/gmsh-1.18-Linux.tgz">Linux tarball (i386, glibc 2.1)</A> 
<li><A href="/gmsh/bin/gmsh-1.18-OSF1.tgz">Compaq Tru64 tarball (OSF 4.0)</A> 
<li><A href="/gmsh/bin/gmsh-1.18-SunOS.tgz">Sun tarball (SunOS 5.5)</A> 
<li><A href="/gmsh/bin/gmsh-1.18-AIX.tgz">IBM tarball (AIX)</A> 
<li><A href="/gmsh/bin/gmsh-1.18-IRIX.tgz">SGI IRIX tarball (IRIX 6.5)</A> 
<li><A href="/gmsh/bin/gmsh-1.18-HP-UX.tgz">HP tarball (HPUX 10.20)</A>

</ul>

  </td>

    </tr>


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<tr valign=top>

  <td width="130" align="right">
    <font color="#ffffff" face="Helvetica, Arial"><b>Authors</b></font></td>

  <td width="60">
  </td>

  <td><font face="Helvetica, Arial" size=-1> 

Gmsh is developed by <A
HREF="mailto:Remacle@scorec.rpi.edu">Jean-François Remacle</A> and <A
HREF="mailto:Christophe.Geuzaine@ulg.ac.be">Christophe Geuzaine</A>.

  </td>

</tr>

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<tr valign=top>

  <td width="130" align="right">
    <font color="#ffffff" face="Helvetica, Arial"><b>Gallery</b></font></td>

  <td width="60">
  </td>

  <td><font face="Helvetica, Arial" size=-1>

Some pictures made with Gmsh:
<ul>
<li> Meshes of 
     <A href="/gmsh/gallery/Mesh1D.gif">lines</A>, 
     <A href="/gmsh/gallery/Mesh2DCiss.gif">surfaces</A> and 
     <A href="/gmsh/gallery/Mesh3D.gif">volumes</A> 
     respecting a given characteristic length field (d(r) = a (sin(X) * sin (Y)) + b).
<li> 3D mesh of an 
     <A href="/gmsh/gallery/bigelec4.gif">electrical component</A>
     (courtesy S.K. Choi).
<li> First example in the tutorial:
     <A href="/gmsh/gallery/ex01-2.gif">pict1</A>, 
     <A href="/gmsh/gallery/ex01-3.gif">pict2</A>, 
     <A href="/gmsh/gallery/ex01-4.gif">pict3</A>.
<li> A mechanical part in the demo files: 
     <A href="/gmsh/gallery/ex09-0.gif">pict1</A>, 
     <A href="/gmsh/gallery/ex09-1.gif">pict2</A>, 
     <A href="/gmsh/gallery/ex09-2.gif">pict3</A>.
<li> Mach number on a F16 
     <A href="/gmsh/gallery/f16-1.gif">pict1</A>,
     <A href="/gmsh/gallery/f16-2.gif">pict2</A>,
     <A href="/gmsh/gallery/f16-3.gif">pict3</A>,
     <A href="/gmsh/gallery/f16-5.gif">pict4</A> (courtesy P. Geuzaine).
<li> Example of on-screen information display: 
     <A href="/gmsh/gallery/infodisplay1.gif">1</A>, 
     <A href="/gmsh/gallery/infodisplay2.gif">2</A>.
<li> A 3D <A href="/gmsh/gallery/adap.gif">adapted mesh</A>.
<li> Smooth 2D <A href="/gmsh/gallery/blob.gif">colormap</A> and 
     3D <A href="/gmsh/gallery/density.mov">quicktime movie</A>.
<li> Some didactic animations about computational electromagnetics at 
     <A target="_top" href="http://elap.montefiore.ulg.ac.be/elm/demos_en.html">ELAP</A>.
</ul>

  </td>

    </tr>

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<tr valign=top>

  <td width="130" align="right">
    <font color="#ffffff" face="Helvetica, Arial"><b>Links</b></font></td>

  <td width="60">
  </td>

  <td><font face="Helvetica, Arial" size=-1>

Check out <A TARGET="_top" HREF="/getdp/">GetDP</A>, a scientific
computation software for the numerical solution of
integro-differential equations, using finite element and integral type
methods.

<p>
<br>
<p>
<a name="opengl-footnote"></a><a
href="#opengl-footmark"><sup>1</sup></a>For Unix versions only: you
should have the OpenGL libraries installed on your system, and in the
path of the library loader. A free replacement for OpenGL can be found
at <A target="_top"
href="http://mesa3d.sourceforge.net">http://mesa3d.sourceforge.net</A>
(a Linux RPM is directly available <A
href="/gmsh/thirdparty/Mesa-3.2-2.i386.rpm">here</A>).  Remember that
you may have to reconfigure the loader (ldconfig under Linux) or
modify the LD_LIBRARY_PATH (or SHLIB_PATH on HP) in order for Gmsh to
find the libraries.


  </font></td>

</tr>

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</table>

<p>

</BODY>
</HTML>

<!---BEGINSCRIPT
EOM
ENDSCRIPT--->