A finite-difference relaxation scheme based on both multigrid techniques and homotopy method for 2D steady-state Navier-stokes equations

摘要

In this paper, multigrid techniques together with homotopy method are applied to propose a kind of finite-difference relaxation scheme for 2D steady-state Navier- Stokes equations. The proposed numerical scheme can give convergent results for viscous flow with high Reynolds number. As an example, the results of shear-driven cavity flow with high Reynolds number up to 25000 on fine grid 257*257 are given.