DOMAIN DECOMPOSITION FOR THE DIFFERENCE SOLUTION OF INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
用区域分解法求不可压N-S方程的差分解

This paper is a continuation of the domain decomposition method proposed in 1] and2] for the incompressible Navier-Stokes equations. To obtain the numerical solution of thecomplete unsteady incompressible Navier-Stokes equations, difference methods are used forboth the outer solution and the boundary layer corrections. For the former, explicit dif-ference scheme 5] is applied on a coarse grid; and for the latter, the same difference sche-me is used, but with normal viscous terms treated implicitly on a grid fine in the normaldirection and covering the boundary layer. This paper also gives the discrete projection theo-rem on a staggered grid in a rectangular region, which corresponds to the well known con-tinuous projection theorem, and which in particular verifies the boundary treatment for thediscrete pressure Poisson equation. Also, a farfield normal velocity boundary treatment isproposed. Numerical experiments on the semi-infinite plate problem show that the computa-tional method and the coupled process presented in this paper are effective.