MESH generation in TLM

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The numerical approach to the rnodelling of rnany physical problerns requires the use of an orthogonal mesh . The evelopment of such meshes has up to now been a combinat ion of mathematics and intuition. This thesis is concerned with techniques for automatic orthogonal mesh generation. Three methods are cons ide red . 'Ihe first is analytical and based on the SChwarz-Christoffel transformation. The second, called the dual potential method , is numerical and is based on the solution of Laplace '5 equation in the region of interest. These two approaches can be used for two dimensional meshes. For the generation of meshes in two and/or three dimensions, a numerical method based on the solution of elliptic ifferential equations in a convenient transformed domain is described . The mesh generation algorithms are tested in numerical, rnodels whereby physical problems are solved using the TLM technique. It can be seen that irregular geometries and singularities can now be easily handled by the TLM method. In the course of these tests,the effects of element parameters (inductance, capacitance), on the TLM results, are also investigated.