Transcription of A SIMPLE MESH GENERATOR IN MATLAB
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A SIMPLE MESH GENERATOR IN MATLAB
A SIMPLE MESH GENERATOR IN MATLABPER-OLOF PERSSON AND GILBERT STRANG a mesh is the first step in a wide range of applications, including scientificcomputing and computer graphics. An unstructured simplex mesh requires a choice of meshpoints(vertex nodes) and a triangulation. We want to offer a short and SIMPLE MATLAB code, described inmore detail than usual, so the reader can experiment (and add to the code) knowing the underlyingprinciples. We find the node locations by solving for equilibrium in a truss structure (using piecewiselinear force-displacement relations) and we reset the topology by the Delaunay geometry is described implicitly by its distance function. In addition to being much shorterand simpler than other meshing techniques, our algorithm typically produces meshes of very highquality. We discuss ways to improve the robustness and the performance, but our aim here issimplicity. Readers can download (and edit) the codes ~ generation, distance functions, Delaunay triangulationAMS subject , 65N501.
a simple mechanical analogy between a triangular mesh and a 2-D truss structure, or equivalently a structure of springs. Any set of points in the x,y-plane can be triangulated by the Delaunay algorithm [3]. In the physical model, the edges of the triangles (the connections between pairs of points) correspond to bars, and the points
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