A FINITE-DIFFERENCE RELAXATION SCHEME BASED ON BOTH MULTIGRID TECHNIQUES AND HOMOTOPY METHOD FOR 2D STEADY-STATE NAVIER-STOKES EQUATIONS

作     者：Liao Shi-jun, Zhu Ji-maoDepartment of Naval Architecture & Ocean Engineering, Shanghai Jiao Tang University,Shanghai 200030, P. R. China Liao Shi-jun, Zhu Ji-maoDepartment of Naval Architecture & Ocean Engineering, Shanghai Jiao Tang University,Shanghai 200030, P. R. China

出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)

年 卷 期：1997年第9卷第1期

页      面：42-55页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

主　　题：2D Navier-Stokes equations multigrid techniques homotopy method shear-driven cavity flow 

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 flows 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.