| 混合型微分求积法对求解联立的二维不可压Navier-Stokes方程和热方程的应用 |
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| 引用本文： | A.S.J.AL-SAIF,朱正佑.混合型微分求积法对求解联立的二维不可压Navier-Stokes方程和热方程的应用[J].上海大学学报(英文版),2003,7(4):343-351. |
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| 作者姓名： | A.S.J.AL-SAIF 朱正佑 |
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| 作者单位： | Institute of Applied Mathematics and Mechanics，Shanghai University，Shanghai 200072，China，Department of Mathematics，University of Basrah，Iraq，Institute of Applied Mathematics and Mechanics，Shanghai University，Shanghai 200072，China |
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| 基金项目： | theShanghaiKeySubjectProgram |
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| 摘 要： | 1 Introduction Variousnumericaltechniques,suchasthefinitedifferencemethodandfiniteelementsmethod ,havebeenusedinthepasttosolvetheincompressibleflowproblemnumerically .Usually ,thesemethodsrequirealargenumberofdiscretizedpointsinthecomputa tionaldomainforaccurateresults .Becausetheinfor mationonallgridpointsisusedtofitderivativesatgrid pointsinthedifferential quadrature (DQ )method ,itisenoughtouseonlyfewgridpointstoob tainhigh accuracynumericalsolutions .Therefore ,thenumberofgridpointscanb…
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| 关 键 词： | 混合微分积分法 Navier-Stokes方程 热力方程 迎风差分格式 |
| 收稿时间： | 25 October 2002 |
Application of mixed differential quadrature method for solving the coupled two-dimensional incompressible Navier-stokes equation and heat equation |
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| A.S.J.?Al-Saif,Zhu?Zheng-You.Application of mixed differential quadrature method for solving the coupled two-dimensional incompressible Navier-stokes equation and heat equation[J].Journal of Shanghai University(English Edition),2003,7(4):343-351. |
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| Authors: | ASJ Al-Saif Zhu Zheng-You |
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| Institution: | 1. Institute of Applied Math ematics and Mechanics, Shanghai University, Shanghai 200072, China;Department of Mathematics , University of Basrah, Iraq
2. Institute of Applied Math ematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| 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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| Keywords: | coupled N-S equation and heat equation differential quadrature method upwind difference scheme |
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