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A FINITE-DIFFERENCE RELAXATION SCHEME BASED ON BOTH MULTIGRID TECHNIQUES AND HOMOTOPY METHOD FOR 2D STEADY-STATE NAVIER-STOKES EQUATIONS
引用本文:Liao Shi-jun,Zhu Ji-maoDepartment of Naval Architecture & Ocean Engineering,Shanghai Jiao Tang University,Shanghai 200030,P. R. China. A FINITE-DIFFERENCE RELAXATION SCHEME BASED ON BOTH MULTIGRID TECHNIQUES AND HOMOTOPY METHOD FOR 2D STEADY-STATE NAVIER-STOKES EQUATIONS[J]. 水动力学研究与进展(B辑), 1997, 0(1)
作者姓名:Liao Shi-jun  Zhu Ji-maoDepartment of Naval Architecture & Ocean Engineering  Shanghai Jiao Tang University  Shanghai 200030  P. R. China
作者单位:Liao Shi-jun,Zhu Ji-maoDepartment of Naval Architecture & Ocean Engineering,Shanghai Jiao Tang University,Shanghai 200030,P. R. China
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.


A FINITE-DIFFERENCE RELAXATION SCHEME BASED ON BOTH MULTIGRID TECHNIQUES AND HOMOTOPY METHOD FOR 2D STEADY-STATE NAVIER-STOKES EQUATIONS
Liao Shi-jun,Zhu Ji-mao. A FINITE-DIFFERENCE RELAXATION SCHEME BASED ON BOTH MULTIGRID TECHNIQUES AND HOMOTOPY METHOD FOR 2D STEADY-STATE NAVIER-STOKES EQUATIONS[J]. Journal of Hydrodynamics, 1997, 0(1)
Authors:Liao Shi-jun  Zhu Ji-mao
Affiliation:Liao Shi-jun,Zhu Ji-maoDepartment of Naval Architecture & Ocean Engineering,Shanghai Jiao Tang University,Shanghai 200030,P. R. China
Abstract:
Keywords:2D Navier-Stokes equations   multigrid techniques   homotopy method   shear-driven cavity flow
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