NUMERICAL GRID GENERATION OF AN IRREGULAR

A procedure of numerical conformal mapping is established to generate grids of a two-dimensional irregular region for further computations. The approach employs a sequence of Zn transformations to map an irregular region into a quadrilateral region with right angles at each of the four corners. This quadrilateral region is then transformed into a rectangular domain by using the boundary integral element method to solve the Laplace mapping equations. Grids are generated in the transformed rectangular domain and are mapped inversely into the original irregular region. The present technique of grid generation is demonstrated and veri ed in two benchmark problems. For physical applications, steady-state temperature distributions in a circle and an area bounded by two triangles are calculated and veri ed, using the present techniques. The present technique of numerical conformal mapping can generate grids for the nite element method or boundary- tted co-ordinates for the nite di erence method.