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Application of mixed differential quadrature method for solving the coupled two-dimensional incompressible Navier-stokes equation and heat equation

  • Applied Mathematics And Mechanics
  • Published:
Journal of Shanghai University (English Edition)

Abstract

The traditional differential quadrature method was improved by using the upwind difference scheme for the convective terms to solve the coupled two-dimensional incompressible Navier-stokes equations and heat equation. The new method was compared with the conventional differential quadrature method in the aspects of convergence and accuracy. The results show that the new method is more accurate, and has better convergence than the conventional differential quadrature method for numerically computing the steady-state solution.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Shanghai University, 200072, Shanghai, China

    A.S.J. Al-Saif Ph. D. Candidate & Zhu Zheng-You

  2. Department of Mathematics, University of Basrah, Iraq

    A.S.J. Al-Saif Ph. D. Candidate

Authors
  1. A.S.J. Al-Saif Ph. D. Candidate
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  2. Zhu Zheng-You
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Project supported by the Shanghai Key Subject Program

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A.S.J., AS., Zhu, ZY. Application of mixed differential quadrature method for solving the coupled two-dimensional incompressible Navier-stokes equation and heat equation. J. of Shanghai Univ. 7, 343–351 (2003). https://doi.org/10.1007/s11741-003-0007-x

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  • DOI: https://doi.org/10.1007/s11741-003-0007-x

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