Upwind Local Differential Quadrature Method for Solving Coupled Viscous Flow and Heat Transfer Equations

A. S. J. Al-Saif; ZHU Zheng-you

Volume 25 Issue 10

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(10): 1033-1041

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, 2004, 25(10): 1033-1041.

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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;

Received Date: 2003-07-10
Rev Recd Date: 2004-06-15
Publish Date: 2004-10-15

Abstract

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.
- upwind locall DQM,
- Navier-Stokes equation,
- heat equation

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References

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