A TRANSFORMATION OF THE CONVECTIVE DIFFUSION EQUATION WITH CORRESPONDING FINITE DIFFERENCE METHOD

An analytical transformation with corresponding finite difference method of the convective diffusion equation into a diffusion equation coupled with a so-called upwind convection function is proposed in this paper. Reflecting the upwind effect in convective diffusion phenomena with a brief exponential representation, the upwind convection function reduces in essence the difficulty due to the non-symmetrical convection operator, and thus can bring great convenience to the numerical aspect of the convective d...