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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (5): 561-574.doi: https://doi.org/10.1007/s10483-009-0503-z

• Articles • 上一篇    下一篇

Mixed spectral method for exterior problems of Navier-Stokes equations by using generalized Laguerre functions

焦裕建1,2,3 郭本瑜1,2,3   

  1. 1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China;
    2. Scientific Computing Key Laboratory of Shanghai Universities, Shanghai 200234, P. R. China;
    3. Division of Computational Science of E-institutes of Shanghai Universities, Shanghai 200234, P. R. China
  • 收稿日期:2008-11-14 修回日期:2009-03-16 出版日期:2009-05-01 发布日期:2009-05-01

Mixed spectral method for exterior problems of Navier-Stokes equations by using generalized Laguerre functions

Yu-Jian JIAO1,2,3, Ben-Yu GUO1,2,3   

  1. 1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China;
    2. Scientific Computing Key Laboratory of Shanghai Universities, Shanghai 200234, P. R. China;
    3. Division of Computational Science of E-institutes of Shanghai Universities, Shanghai 200234, P. R. China
  • Received:2008-11-14 Revised:2009-03-16 Online:2009-05-01 Published:2009-05-01

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摘要： In this paper, we investigate the mixed spectral method using generalized Laguerre functions for exterior problems of fourth order partial differential equations. A mixed spectral scheme is provided for the stream function form of the Navier-Stokes equations outside a disc. Numerical results demonstrate the spectral accuracy in space.

关键词: spectral method, exterior problems of fourth order, Navier-Stokes equations

Abstract: In this paper, we investigate the mixed spectral method using generalized Laguerre functions for exterior problems of fourth order partial differential equations. A mixed spectral scheme is provided for the stream function form of the Navier-Stokes equations outside a disc. Numerical results demonstrate the spectral accuracy in space.

Key words: spectral method, exterior problems of fourth order, Navier-Stokes equations

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