SEMI-ADAPTIVE GRID METHOD FOR CONVECTION-DOMINATED FLOW

A simple and efficient adaptive grid method (so-called "semi-adaptive grid method" ,SAGM) is presented in the paper. An obvious speciality of this method is that all computations are carried out on the physical plane. This semi-adaptive grid method has been successfully applied to solve the problems of steady and unsteady convection-diffusion equations with convection-dominated. A various examples have been tested. The numerical results show that numerical solutions are monotonic (near boundary or shock layer). The accuracy is higher than that on the uniform meshes.