navier_stokes_mesh3d, an Octave code which handles tetrahedral meshes for several 3D test problems involving the Navier Stokes equations (NSE) for fluid flow, provided by Leo Rebholz.
We are interested in these meshes as useful tests for a procedure in which we are able to redo the related Navier Stokes calculations using FENICS.
As part of that task, we need to take the meshes associated with the MATLAB computation and translate them into a format acceptable to DOLFIN / FENICS. Our proposed mechanism for this is either to translate the files to the Gmsh msh format, and then use DOLFIN-CONVERT to convert that to DOLFIN XML, or else to translate the files directly into DOLFIN XML format ourselves.
The computer code and data files made available on this web page are distributed under the MIT license
navier_stokes_mesh3d is available in a MATLAB version and an Octave version.
dolfin, a Python code which uses the DOLFIN library to set up and solve a wide variety of problems using the finite element method.
dolfin-convert, a Python code which can convert mesh file from Gmsh, MEDIT, METIS or SCOTCH format to an XML format suitable for use by DOLFIN or FENICS, by Anders Logg.
dolfin_xml, a data directory which contains examples of XML files that describe 3D finite element meshes as used by DOLFIN and FENICS.
gmsh, examples which illustrate the use of the Gmsh program, a 3D mesh generator for the finite element method (FEM).
navier_stokes_3d_exact, an Octave code which evaluates an exact solution to the incompressible time-dependent Navier-Stokes equations over an arbitrary domain in 3D.
navier_stokes_mesh2d, an Octave code which handles triangular meshes for several 2D test problems involving the Navier Stokes equations for flow flow, provided by Leo Rebholz.
tet_mesh_order20, a dataset directory which contains examples of order 20 tetrahedral meshes.
tet_mesh_to_gmsh, an Octave code which reads information defining a tet mesh, namely a file of node coordinates and a file of elements defined by node indices, and creates a corresponding Gmsh mesh file.
Leo Rebholz