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

Yu-Jian JIAO;Ben-Yu GUO

doi:10.1007/s10483-009-0503-z

Applied Mathematics and Mechanics >

2009 , Vol. 30 >Issue 5: 561 - 574

DOI: https://doi.org/10.1007/s10483-009-0503-z

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

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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 date: 2008-11-14

Revised date: 2009-03-16

Online published: 2009-05-01

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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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Yu-Jian JIAO;Ben-Yu GUO . Mixed spectral method for exterior problems of Navier-Stokes equations by using generalized Laguerre functions[J]. Applied Mathematics and Mechanics, 2009 , 30(5) : 561 -574 . DOI: 10.1007/s10483-009-0503-z

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