A HIGH PRECISION DISCRETIZATION METHOD FOR SOLVING CONVECTION DIFFUSION EQUATION (ADVECTIVE PROCESSES) AND NUMERICAL EXPERIMENTS

A discretization method for the numerical simulation of advective process using Talor Galerkin finite element method is proposed. Numerical experiment is carried out for various concentrations in the two dimensional advective process in the rotational flow field. The results are compared with those of the numerical simulation using upwind difference scheme, Crank-Nicolson scheme, Lax-Wendroff scheme and leap-frog schemes. The results of numerical experiments show that the proposed method is accurate, stable, and efficient with small phase error and can be used in high precision simulation of advective processes.