Technique of orthogonal curvilinear grid generation for regions with complicated boundaries

It is very important for curvilinear grid generation to choose the appropriate adjustment factors(Pand Q)by using Poisson equations.This paper is concerned with some problems of adjusting functions in Thompson method for grid generation,and proposes a new expression of adjusting factors,by which the grids can be generated for a simple region and a multi-connected region with complicated boundaries.The curvilinear grid generation examples show that an orthogonal curvilinear grid can be generated;and that the curvilinear grids near boundaries are orthogonal;and the interior grids can be adaptive to the variation of physical parameters of fluid,size and shape of grids change continuously.The proposed method can accurately deal with the boundary conditions and improve the computation accuracy in numerical simulation of water velocity field.