Mesh Generation

Abstract

An important part of the simulation procedure is the generation of the mesh to be solved. From the discussion on box integration in Section 4.2, we note that we have assumed the electric field intensity vector, E to be constant between any two adjacent nodes in the mesh. In other words, although the electric field varies nonlinearly as a function of distance, the spatial discretization method approximates it as a piecewise constant function. Obviously then, the discretization method is only as accurate as this approximation is and it becomes necessary to use fine grids to accurately approximate the electric field in regions where it is highly nonlinear. Wherever coarse grids are adequately accurate they should be used since the overall density of grids is a primary deterninant of the computational complexity involved in the solution procedure. However, since the field intensity cannot be determined before discretization, the density of grids needed is not known a priori. In general, there are two approaches to solving this problem.