FEM2D_STOKES_SPARSE_CAVITY is a square region that is 1 unit wide and 1 unit high. The tangential velocity is specified to be 1 along the top boundary, with a zero normal component. On all other parts of the boundary, the velocity is specified to be zero.
To run the problem directly, you only need the user-supplied routines in dirichlet_condition.m and rhs.m, the node data in nodes6.txt, and the element data in triangles6.txt.
You can run the program with the MATLAB command
fems2d_stokes_sparse ( 'nodes6.txt', 'triangles6.txt' )
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
FEM2D_STOKES_SPARSE_CAVITY is available in a MATLAB version.
FEM2D_STOKES_SPARSE, a MATLAB program which solves the steady (time independent) incompressible Stokes equations on an arbitrary triangulated region, using the finite element method and MATLAB's sparse facility.
Some of the files needed to run the problem include:
The geometry is defined by sets of nodes and triangles. The velocities use the full set of nodes, and quadratic (6 node) triangles.
The pressures are associated with a subset of the nodes called "pressure nodes", and linear (3 node) triangles. Note that, in the order 3 triangulation, the nodes are renumbered, and do NOT inherit the labels used in the order 6 triangulation.
The pressures are a scalar quantity associated with the pressure nodes, the velocities are a vector quantity associated with the vector nodes.