| UPWIND LOCAL DIFFERENTIAL QUADRATURE METHOD FOR SOLVING COUPLED VISCOUS FLOW AND HEAT TRANSFER EQUATIONS |
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| 作者姓名： | A.S.J.AL-SAIF 朱正佑 |
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| 作者单位： | [1]ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,P.R.China [2]DepartmentofMathematics,ShanghaiUniversity,Shanghai200436,P.R.China |
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| 基金项目： | theMunicipalKeySubjectProgramsofShanghai |
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| 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.
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| 关 键 词： | 热方程 非线性偏微分方程 有限微分 有限元 |
| 收稿时间： | 2003-07-10 |
UPWIND LOCAL DIFFERENTIAL QUADRATURE METHOD FOR SOLVING COUPLED VISCOUS FLOW AND HEAT TRANSFER EQUATIONS |
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| A.S.J.Al-Saif.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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| Authors: | ASJAl-Saif |
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| Institution: | 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University,Shanghai 200072, P.R.China;Department of Mathematics, University of Basrah, Iraq
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University,Shanghai 200072, P.R.China;Department of Mathematics, Shanghai University, Shanghai 200436, P.R.China |
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| 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. |
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| Keywords: | upwind locall DQM Navier-Stokes equation heat equation |
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