TWOD
Functions for 2D Finite Elements

TWOD is a MATLAB library which contains functions useful for 2D finite element calculations, by Jeff Borggaard.

Related Data and Programs:

FEM2D, a data directory which contains a description of the data files that can be used to describe a 2D finite element model.

FEM_IO, a MATLAB library which reads and writes the node, element and data files that define a finite element model.

FEM1D_PACK, a MATLAB library which contains utilities for 1D finite element calculations.

FEM2D_HEAT, a MATLAB program which solves the time dependent heat equation in the unit square.

FEM2D_PACK, a MATLAB library which is useful for 2D finite element calculations.

FEM2D_POISSON, a MATLAB program which solves the Poisson equation in the unit square.

FEM2D_POISSON_RECTANGLE_LINEAR, a MATLAB program which solves the 2D Poisson equation on a rectangle, using the finite element method, and piecewise linear triangular elements.

FEM2D_PROJECT, a MATLAB program which projects a function F(X,Y) into a given finite element space of piecewise linear triangular elements.

FEM2D_SAMPLE, a MATLAB library which evaluates a finite element function defined on an order 3 or order 6 triangulation.

FEM3D_PACK, a MATLAB library which contains utilities for 3D finite element calculations.

ONED, a MATLAB library which contains functions useful for 1D finite element calculations.

THREED, a MATLAB library which contains functions useful for 3D finite element calculations.

TWOD_PLOTC, a MATLAB program which makes a color contour plot of scalar data defined on a 2D finite element mesh.

TWOD_TO_VTK, a MATLAB program which accepts computational data from a 2D finite element fluid flow program and writes it to a VTK "legacy" file for postprocessing by PARAVIEW.

TWOD_TO_VTU, a MATLAB program which accepts computational data from a 2D finite element fluid flow program and writes it to a VTK unstructured grid file for postprocessing by PARAVIEW.

Author:

Jeff Borggaard, Virginia Tech.

Source Code:

• twod_backm2d.m calculates a mesh density function and generates a backm2d file readable by amiral.
• twod_bilinear.m integrates kernel(x,y) * basis function(x,y) * test function(x,y).
• twod_f_int.m computes the integral of f(x,y) times a test function.
• twod_gauss.m sets Gauss integration points for triangular elements.
• twod_getfaces.m finds element faces corresponding to a set of boundary nodes.
• twod_mesh.m generates a rectangular mesh with a prescribed density. This routine returns nodal coordinates, element connectivity, and the nodal indices of boundary nodes.
• twod_plotc.m produces a filled contour plot of triangular finite element data.
• twod_plotm1.m plots linear triagular mesh. Also works for quadratic straight sided elements.
• twod_plotm2.m plots linear triagular mesh. Also works for quadratic straight sided elements.
• twod_projectd.m, projects the derivative onto the continuous finite element space (ZZ projection).
• twod_readcad5out.m reads in solution data from a *.cad5out file generated with cadyf. This code is quite problem specific, since the *.cad5out file is setup to solve the Navier-Stokes equations.
• twod_readcadyf.m reads in mesh, connectivity and boundary node numbers from a *.cadyf file generated with amiral (preprocessor for cadyf). This code is quite problem specific, since the *.cadyf file is setup to solve the Navier-Stokes equations.
• twod_readcadyf1.m reads in mesh, connectivity and boundary node numbers from a *.cadyf file generated with amiral (preprocessor for cadyf). This code is quite problem specific, since the *.cadyf file is set up to solve the Navier-Stokes equations.
• twod_shape.m computes test functions and derivatives on an element given element coordinates and Gauss points. Optimized for straight-sided elements. Use "twod_shapeiso" for isoparametric elements.
• twod_shapeiso.m computes test functions and derivatives on an element given element coordinates and Gauss points. Specifically set up for isoparametric elements. Use "twod_shape" for linear elements.
• twod_to_tecplot.m writes out a 2D finite element solution to a file, in a format readable by TECPLOT.
• twod_to_vu.m writes out a 2D finite element solution to a file, in a format readable by Vu.

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