Abstract
An iterative variation of the linear-element complex variable boundary element method (CVBEM) is used to generate grid points in two-dimensional simply connected spatial domains. As in many grid generation techniques, the solution of Laplace's equation is involved; however, the boundary element formulation results in a much smaller set of simultaneous equations, and once the values of the complex potential at the boundaries are fully determined, the internal grid point distribution can be altered without resolving the elliptic system. The boundary conditions implemented produce grid line orthogonality at the domain boundaries. Additionally, by using complex variables in the formulation, numerical integration is avoided. The utility of the method is demonstrated by (1) generating grid systems for several irregular geometries and (2) obtaining a numerical solution for the flow field associated with one of the geometries.
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