distmesh_test

distmesh_test, a MATLAB program which calls distmesh() to generate unstructured meshes.

Licensing:

DISTMESH is Copyright (C) 2004 Per-Olof Persson.

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.

If you use DISTMESH in any program or publication, please acknowledge its authors by citing the reference.

Related Data and Programs:

distmesh, a MATLAB library which carries out triangular or tetrahedral mesh generation, by Per-Olof Persson and Gilbert Strang.

Source Code:

• distmesh_test.m calls all the tests
• distmesh_test.sh runs all the tests
• distmesh_test.txt the output file.

P01 is the circle:

• p01_demo.m runs the problem.
• p01_fd.m the signed distance function.
• p01_fh.m a uniform mesh density function.
• p01_mesh.png a PNG image of the mesh.
• p01_nodes.txt the mesh nodes of the problem.
• p01_elements.txt the mesh triangles of the problem.

P02 is the circle with a hole:

• p02_demo.m runs the problem.
• p02_fd.m the signed distance function.
• p02_fh.m a uniform mesh density function.
• p02_mesh.png a PNG image of the mesh.
• p02_nodes.txt the mesh nodes of the problem.
• p02_elements.txt the mesh triangles of the problem.

P03 is the square with a circular hole:

• p03_demo.m runs the problem.
• p03_fd.m the signed distance function.
• p03_fh.m a uniform mesh density function.
• p03_mesh.png a PNG image of the mesh.
• p03_nodes.txt the mesh nodes of the problem.
• p03_elements.txt the mesh triangles of the problem.

P04 is the hexagon with a hexagonal hole:

• p04_demo.m runs the problem.
• p04_fd.m the signed distance function.
• p04_fh.m a uniform mesh density function.
• p04_mesh.png a PNG image of the mesh.
• p04_nodes.txt the mesh nodes of the problem.
• p04_elements.txt the mesh triangles of the problem.

P05 is the horn:

• p05_demo.m runs the problem.
• p05_fd.m the signed distance function.
• p05_fh.m a nonuniform mesh density function.
• p05_mesh.png a PNG image of the mesh.
• p05_nodes.txt the mesh nodes of the problem.
• p05_elements.txt the mesh triangles of the problem.

P06 is the superellipse:

• p06_demo.m runs the problem.
• p06_fd.m the signed distance function.
• p06_fh.m a nonuniform mesh density function.
• p06_mesh.png a PNG image of the mesh.
• p06_nodes.txt the mesh nodes of the problem.
• p06_elements.txt the mesh triangles of the problem.

P07 is the bicycle seat:

• p07_demo.m runs the problem.
• p07_fd.m the signed distance function.
• p07_fh.m a uniform mesh density function.
• p07_mesh.png a PNG image of the mesh.
• p07_nodes.txt the mesh nodes of the problem.
• p07_elements.txt the mesh triangles of the problem.

P08 is the holey pie slice:

• p08_demo.m runs the problem.
• p08_fd.m the signed distance function.
• p08_fh.m a nonuniform mesh density function.
• p08_mesh.png, a PNG image of the mesh.
• p08_nodes.txt the mesh nodes of the problem.
• p08_elements.txt the mesh triangles of the problem.

P09 is Jeff Borggaard's square with two hexagonal holes:

• p09_demo.m runs the problem.
• p09_fd.m the signed distance function.
• p09_fh.m a uniform mesh density function.
• p09_mesh.png a PNG image of the mesh.
• p09_nodes.txt the mesh nodes of the problem.
• p09_elements.txt the mesh triangles of the problem.

P10 is the unit square, with uniform density.

• p10_demo.m runs the problem.
• p10_fd.m the signed distance function.
• p10_fh.m a uniform mesh density function.
• p10_mesh.png a PNG image of the mesh.
• p10_nodes.txt the mesh nodes of the problem.
• p10_elements.txt the mesh triangles of the problem.

P11 is the L-shaped region:

• p11_demo.m runs the problem.
• p11_fd.m the signed distance function.
• p11_fh.m a uniform mesh density function.
• p11_mesh.png a PNG image of the mesh.
• p11_nodes.txt the mesh nodes of the problem.
• p11_elements.txt the mesh triangles of the problem.

P12 is the John Shadid's H-shaped region:

• p12_demo.m runs the problem.
• p12_fd.m the signed distance function.
• p12_fh.m a uniform mesh density function.
• p12_mesh.png a PNG image of the mesh.
• p12_nodes.txt the mesh nodes of the problem.
• p12_elements.txt the mesh triangles of the problem.

P13 is the Sandia fork:

• p13_demo.m runs the problem.
• p13_fd.m the signed distance function.
• p13_fh.m a uniform mesh density function.
• p13_mesh.png a PNG image of the mesh.
• p13_nodes.txt the mesh nodes of the problem.
• p13_elements.txt the mesh triangles of the problem.

P14 is Marcus Garvie's Lake Alpha, with Beta Island:

• p14_demo.m runs the problem.
• p14_fd.m the signed distance function.
• p14_fh.m a nonuniform mesh density function.
• p14_mesh.png a PNG image of the mesh.
• p14_nodes.txt the mesh nodes of the problem.
• p14_elements.txt the mesh triangles of the problem.

P15 is Sangbum Kim's forward step region:

• p15_demo.m runs the problem.
• p15_fd.m the signed distance function.
• p15_fh.m a nonuniform mesh density function.
• p15_mesh.png a PNG image of the mesh.
• p15_nodes.txt the mesh nodes of the problem.
• p15_elements.txt the mesh triangles of the problem.

P16 is Kevin Pond's elbow, a quarter of a circular annulus:

• p16_demo.m runs the problem.
• p16_fd.m the signed distance function.
• p16_fh.m the mesh density function.
• p16_mesh.png a PNG image of the mesh.
• p16_nodes.txt the mesh nodes of the problem.
• p16_elements.txt the mesh triangles of the problem.

P17 is a rectangular region with a Reuleaux triangle obstacle.

• p17_demo.m runs the problem.
• p17_fd.m the signed distance function.
• p17_fh.m the mesh density function.
• p17_mesh.png a PNG image of the mesh.
• p17_nodes.txt the mesh nodes of the problem.
• p17_elements.txt the mesh triangles of the problem.

P18 is a dumbbell shape, two circles connected by a rectangular channel.

• p18_demo.m runs the problem.
• p18_fd.m the signed distance function.
• P18_UNIFORM uses a uniform density:
  • p18_uniform_fh.m the mesh density function.
  • p18_uniform_mesh.png a PNG image of the mesh.
  • p18_uniform_nodes.txt the mesh nodes of the problem.
  • p18_uniform_elements.txt the mesh triangles of the problem.
• P18_NONUNIFORM uses a nonuniform density:
  • p18_nonuniform_fh.m the mesh density function.
  • p18_nonuniform_mesh.png a PNG image of the mesh.
  • p18_nonuniform_nodes.txt the mesh nodes of the problem.
  • p18_nonuniform_elements.txt the mesh triangles of the problem.

P19 is a triangle:

• p19_demo.m runs the problem.
• p19_fd.m the signed distance function.
• p19_fh.m the mesh density function.
• p19_mesh.png a PNG image of the mesh.
• p19_nodes.txt the mesh nodes of the problem.
• p19_elements.txt the mesh triangles of the problem.

P20 is a rough draft of the first floor of ICAM's Wright House:

• p20_demo.m runs the problem.
• p20_fd.m the signed distance function.
• P20_UNIFORM uses a uniform density:
  • p20_uniform_fh.m the uniform mesh density function.
  • p20_uniform_mesh.png a PNG image of the mesh, for 2 iterations and a mesh size H = 0.25.
  • p20_uniform_nodes.txt the mesh nodes of the problem.
  • p20_uniform_elements.txt the mesh triangles of the problem.
• P20_NONUNIFORM uses a nonuniform density:
  • p20_nonuniform_fh.m the nonuniform mesh density function.
  • p20_nonuniform_mesh.png a PNG image of the mesh, for 2 iterations and a mesh size H = 0.25.
  • p20_nonuniform_nodes.txt the mesh nodes of the problem.
  • p20_nonuniform_elements.txt the mesh triangles of the problem.

P21 is Zhu Wang's 3x3 square with a "quarter round" bite taken out.

• p21_demo.m runs the problem.
• p21_fd.m the signed distance function.
• p21_fh.m the mesh density function.
• p21_mesh.png a PNG image of the mesh.
• p21_nodes.txt the mesh nodes of the problem.
• p21_elements.txt the mesh triangles of the problem.

P22 is Hans-Werner van Wyk's "Big C", which allows two portions of the region to be "physically close" although a path from one portion to the other must take the long way around.

• p22_demo.m runs the problem.
• p22_fd.m the signed distance function.
• p22_fh.m the mesh density function.
• p22_mesh.png a PNG image of the mesh.
• p22_nodes.txt the mesh nodes of the problem.
• p22_elements.txt the mesh triangles of the problem.

P23 is Mike Schneier's unit square, with nonuniform density.

• p23_demo.m runs the problem.
• p23_fd.m the signed distance function.
• p23_fh.m a mesh density function.
• p23_mesh.png a PNG image of the mesh.
• p23_nodes.txt the mesh nodes of the problem.
• p23_nodes.png a PNG image of the nodes.
• p23_elements.txt the mesh triangles of the problem.

P24 is the outline of a hand, with nonuniform density.

• p24_demo.m runs the problem.
• p24_fd.m the signed distance function.
• p24_fh.m a mesh density function.
• p24_mesh.png a PNG image of the mesh.
• p24_nodes.txt the mesh nodes of the problem.
• p24_nodes.png a PNG image of the nodes.
• p24_elements.txt the mesh triangles of the problem.