UPWIND LOCAL DIFFERENTIAL QUADRATURE METHOD FOR SOLVING COUPLED VISCOUS FLOW AND HEAT TRANSFER EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (10): 1130-1138.

UPWIND LOCAL DIFFERENTIAL QUADRATURE METHOD FOR SOLVING COUPLED VISCOUS FLOW AND HEAT TRANSFER EQUATIONS

A.S.J.Al-Saif^1,3, 朱正佑^1,2

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China;
2. Department of Mathematics, Shanghai University, Shanghai 200436, P.R.China; 3.Department of Mathematics, University of Basrah, Iraq

收稿日期:2003-07-10 修回日期:2004-06-15 出版日期:2004-10-18 发布日期:2004-10-18
通讯作者: ZHU Zheng-you(1937- ),Professor(Tel:+86-21-56331454;Fax:+86-21-56380560;E-mail:chjcheng@yc.shu.edu.cn) E-mail:chjcheng@yc.shu.edu.cn
基金资助:
the Municipal Key Subject Programs of Shanghai

UPWIND LOCAL DIFFERENTIAL QUADRATURE METHOD FOR SOLVING COUPLED VISCOUS FLOW AND HEAT TRANSFER EQUATIONS

A.S.J.Al-Saif^1,3, ZHU Zheng-you^1,2

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China;
2. Department of Mathematics, Shanghai University, Shanghai 200436, P.R.China; 3.Department of Mathematics, University of Basrah, Iraq

Received:2003-07-10 Revised:2004-06-15 Online:2004-10-18 Published:2004-10-18
Supported by:
the Municipal Key Subject Programs of Shanghai

摘要/Abstract

摘要： The differential quadrature method (DQM) has been applied successfully to solve numerically many problems in the fluid mechanics. But it is only limited to the flow problems in regular regions. At the same time, here is no upwind mechanism to deal with the convective property of the fluid flow in traditional DQ method. A local differential quadrature method owning upwind mechanism (ULDQM) was given to solve the coupled problem of incompressible viscous flow and heat transfer in an irregular region. For the problem of flow past a contraction channel whose boundary does not parallel to coordinate direction, the satisfactory numerical solutions were obtained by using ULDQM with a few grid points. The numerical results show that the ULDQM possesses advantages including well convergence, less computational workload and storage as compared with the low-order finite difference method.

关键词: upwind locall DQM, Navier-Stokes equation, heat equation

Abstract: The differential quadrature method (DQM) has been applied successfully to solve numerically many problems in the fluid mechanics. But it is only limited to the flow problems in regular regions. At the same time, here is no upwind mechanism to deal with the convective property of the fluid flow in traditional DQ method. A local differential quadrature method owning upwind mechanism (ULDQM) was given to solve the coupled problem of incompressible viscous flow and heat transfer in an irregular region. For the problem of flow past a contraction channel whose boundary does not parallel to coordinate direction, the satisfactory numerical solutions were obtained by using ULDQM with a few grid points. The numerical results show that the ULDQM possesses advantages including well convergence, less computational workload and storage as compared with the low-order finite difference method.

Key words: upwind locall DQM, Navier-Stokes equation, heat equation

中图分类号:

A.S.J.Al-Saif;朱正佑. UPWIND LOCAL DIFFERENTIAL QUADRATURE METHOD FOR SOLVING COUPLED VISCOUS FLOW AND HEAT TRANSFER EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(10): 1130-1138.

A.S.J.Al-Saif;ZHU Zheng-you. UPWIND LOCAL DIFFERENTIAL QUADRATURE METHOD FOR SOLVING COUPLED VISCOUS FLOW AND HEAT TRANSFER EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(10): 1130-1138.

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UPWIND LOCAL DIFFERENTIAL QUADRATURE METHOD FOR SOLVING COUPLED VISCOUS FLOW AND HEAT TRANSFER EQUATIONS

UPWIND LOCAL DIFFERENTIAL QUADRATURE METHOD FOR SOLVING COUPLED VISCOUS FLOW AND HEAT TRANSFER EQUATIONS

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