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<!--- PLEASE DO NOT EDIT the BEGINSCRIPT and ENDSCRIPT comments --->
<!---BEGINSCRIPT
#!/bin/sh
BASEDIR=/usr/local/cgi-bin
echo Content-type: text/html
echo
cat << EOM
ENDSCRIPT--->
<HTML>
<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="gmsh, free, mesh, software, mesh
generation, mesh refinement, free, delaunay, triangulation, delaunay
triangulation, automatic, maillage, maillages automatiques, mailleur,
finite element, modelisation, 3D, 3-D, opengl, maillages 3D, 3D
meshes, 3-D meshes, maillages 3-D, voronoi, adaptation de maillages,
mesh adaptation, modeling, gmsh">
<META name="Autor-Handle" content="Christophe.Geuzaine@advalvas.be">
</HEAD>
<body text="#000000" bgcolor="#ffffff" background="/gmsh/images/background.gif">
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<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 May 24, 1998<br><br>
ENDSCRIPT--->
Last updated <b>December 10, 2000</b><br><br>
&copy; 1998-2000 C. Geuzaine, J.-F. Remacle<br>
</font></td>
<td width="70">
</td>
<td><font face="Helvetica, Arial">
<font size="+3"><b>Gmsh</b></font><br>
<b>a three-dimensional finite element mesh generator with pre- and
post-processing facilities</b>
</font></td>
</tr>
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<tr valign=bottom>
<td><spacer type="vertical" size=20>
</td>
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<td width="130" align="right">
<font color="#ffffff" face="Helvetica, Arial"><b>General Description</b></font></td>
<td width="70">
</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="70">
</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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<td width="130" align="right">
<font color="#ffffff" face="Helvetica, Arial"><b>Mesh Generation</b></font></td>
<td width="70">
</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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<td width="130" align="right">
<font color="#ffffff" face="Helvetica, Arial"><p><b>Scalar, Vector and Tensor Field Visualization</b></font></td>
<td width="70">
</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="70">
</td>
<td><font face="Helvetica, Arial" size=-1>
Online <A target = "_top" href="/gmsh/doc/tutorial.html">tutorial</A> and
file <A target="_top" href="/gmsh/doc/FORMATS">formats</A> description.
</td>
</tr>
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<tr valign=top>
<td width="130" align="right">
<font color="#ffffff" face="Helvetica, Arial"><b>Download</b></font></td>
<td width="70">
</td>
<td bgcolor="#f0f0f0"><font face="Helvetica, Arial" size=-1>
GMSH is available on most classical UNIX platforms. Due to its erratic
behavior, we don't distribute the Windows version for the moment (you
may consider switching to Linux instead...). No source distribution is
available for the moment.
<p>
All executables are dynamically linked with OpenGL and Motif. You
should have these libraries installed on your system, and in the path
of the library loader. Free replacements for OpenGL
and Motif can be found at
<A target="_top" href="http://mesa3d.sourceforge.net">http://mesa3d.sourceforge.net</A>
and <A target="_top" href="http://www.lesstif.org">http://www.lesstif.org</A>.
(Linux RPMs are directly available here:
<A href="/gmsh/thirdparty/Mesa-3.2-2.i386.rpm">Mesa-3.2-2.i386.rpm</A>,
<A href="/gmsh/thirdparty/lesstif-0.91.4-1.i386.rpm">lesstif-0.91.4-1.i386.rpm</A>.)
<p>
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 these libraries.
<p>
Version 0.995 (10 December 2000):
<ul>
<li>Red Hat package with man page and examples
<ul>
<li><A href="/gmsh/latest/gmsh-0.995-1.i386.rpm">Linux (i386, glibc 2.1) RPM</A>
</ul>
<li>Tarballs
<ul>
<li><A href="/gmsh/latest/gmsh-Linux.tgz" >Gmsh for Linux i386/glibc 2.1/Lesstif 0.91</A>
<li><A href="/gmsh/latest/gmsh-OSF1.tgz" >Gmsh for Digital OSF 4.0/Compaq Tru64</A>
<li><A href="/gmsh/latest/gmsh-SunOS.tgz" >Gmsh for Sun OS 5.5.1</A>
<li><A href="/gmsh/latest/gmsh-AIX.tgz" >Gmsh for IBM AIX</A>
<li><A href="/gmsh/latest/gmsh-HP-UX.tgz" >Gmsh for HP-UX 10.20</A>
<li><A href="/gmsh/latest/gmsh-IRIX.tgz" >Gmsh for SGI IRIX 6.5</A>
</ul>
<li>Tutorial and demos
<ul>
<li><A href="/gmsh/latest/gmsh-tutorial.tgz">Gmsh tutorial</A>
<li><A href="/gmsh/latest/gmsh-demos.tgz">Gmsh demo files</A>
</ul>
</ul>
</td>
</tr>
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<tr valign=top>
<td width="130" align="right">
<font color="#ffffff" face="Helvetica, Arial"><b>What's new</b></font></td>
<td width="70">
</td>
<td><font face="Helvetica, Arial" size=-1>
New in 0.995:
<ul>
<li>
Totally rewritten geometrical database (performance has been
drastically improved for all geometrical transformations, and most
notably for extrusion). <font color=red> As a consequence, the
internal numbering of geometrical entities has changed: this will
cause incompatibilities with old .geo files, and will require a
partial rewrite of your old .geo files if these files made use of
geometrical transformations</font>. The syntax of the .geo file has
also been clarified. Many additions for scripting purposes.
<li>
New extrusion mesh generator. Preliminary version of the coupling between
extruded and Delaunay meshes.
<li>
New option and procedural database. All interactive operations can be
scripted in the input files. See the last example in the tutorial for
an example.
<li>
Many stability enhancements in the 2D and 3D mesh
algorithms. Performance boost of the 3D algorithm. Gmsh is still slow,
but the performance becomes acceptable. An average 1000
tetrahedra/second is obtained on a 600Mhz computer for a mesh of
one million tetrahedra.
<li>
New anisotropic 2D mesh algorithm.
<li>
New (ascii and binary) post-processing file format and clarified mesh
file format.
<li>
New handling for interactive rotations (trackball mode).
<li>
New didactic interactive mesh construction (watch the Delaunay
algorithm in real time on complex geometries: that's exciting ;-)
<li>
And many, many bug fixes and cleanings...
</ul>
<p>
New in 0.992: corrected recombined extrusion; corrected ellipses; added
simple automatic animation of post-processing maps; fixed various bugs.
<p>
New in 0.991: fixed a serious allocation bug in 2D algorithm, which
caused random crashes. All users should upgrade to 0.991.
<p>
New in 0.990: bug fix in non-recombined 3D transfinite meshes.
<p>
New in 0.989: added ability to reload previously saved meshes; some
new command line options; reorganization of the scale menu; GIF
output.
<p>
New in 0.987: fixed bug with smoothing (leading to the possible
generation of erroneous 3d meshes); corrected bug for mixed 3D meshes;
moved the 'toggle view link' option to Opt->Postprocessing_Options.
<p>
New in 0.986: fixed overlay problems; SGI version should now also run
on 32 bits machines; fixed small 3d mesh bug.
<p>
New in 0.985: corrected colormap bug on HP, SUN, SGI and IBM versions;
corrected small initialization bug in postscript output.
<p>
New in 0.984: corrected bug in display lists; added some options in
Opt->General.
<p>
New in 0.983: corrected some seg faults in interactive mode; corrected
bug in rotations; changed default window sizes for better match with
1024x768 screens (default X resources can be changed: see ex03.geo).
<p>
New in 0.982: lighting for mesh and post-processing; corrected 2nd
order mesh on non plane surfaces; added example 13.
</td>
</tr>
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<font color="#ffffff" face="Helvetica, Arial"><b>Problems / Performance</b></font></td>
<td width="70">
</td>
<td><font face="Helvetica, Arial" size=-1>
<ul>
<li> If something goes wrong, it is likely because some libraries are
not properly installed on your system. Try 'ldd gmsh-name' to check
all shared libraries dependencies. Warning: HP version is reported not
to work with native OpenGL -> install Mesa instead.
<li> If, when moving the mouse over the graphic window, everything
that is drawn on it disappears, and each item is visible only when the
cursor is directly over it, you should start Gmsh with the '-noov'
command line option. (This will be fixed.)
<li> Turn double buffering off (with the -nodb command line option)
when working on a remote host with Mesa.
<li> Try display lists (-dl option) when working with big
post-processing data sets.
<li> Disable opaque move in your window manager to prevent multiple
expose events when an option window partially hides the graphical
window.
</ul>
</td>
</tr>
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<td width="130" align="right">
<font color="#ffffff" face="Helvetica, Arial"><b>Authors</b></font></td>
<td width="70">
</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>.
Feel free to contact us to send bugs, remarks or nice pictures you achieved
with Gmsh (we'll put them on the web site).
</td>
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<font color="#ffffff" face="Helvetica, Arial"><b>Gallery</b></font></td>
<td width="70">
</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 <A href="/gmsh/latest/gmsh-tutorial.tgz">tutorial</A>:
<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 <A href="/gmsh/latest/gmsh-demos.tgz">demo files</A>:
<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>.
<li> Some didactic animations about computational electromagnetics at
<A target="_top" href="http://www.montefiore.ulg.ac.be/services/elap/elm/demos_en.html">ELAP</A>.
</ul>
</td>
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<font color="#ffffff" face="Helvetica, Arial"><b>Links</b></font></td>
<td width="70">
</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.
</font></td>
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</table>
<p>
</BODY>
</HTML>
<!---BEGINSCRIPT
EOM
ENDSCRIPT--->
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