Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations

HUANG Wei;GUO Ben-yu

doi:10.1007/s10483-008-0404-1

Applied Mathematics and Mechanics >

2008 , Vol. 29 >Issue 4: 453 - 476

DOI: https://doi.org/10.1007/s10483-008-0404-1

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Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations

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1. Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China;
2. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China;
3. Scientific Computing Key Laboratory of Shanghai Universities, Shanghai 200234, P. R. China;
4. Division of Computational Science of E-Institute of Shanghai Universities, Shanghai 200234, P. R. China

Received date: 2007-10-19

Revised date: 2008-02-25

Online published: 2008-04-18

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Abstract

A fully discrete Jacobi-spherical harmonic spectral method is provided for the Navier-Stokes equations in a ball. Its stability and convergence are proved. Numerical results show efficiency of this approach. The proposed method is also applicable to other problems in spherical geometry.

Key words： fully discrete Jacobi-spherical harmonic spectral method; Navier-Stokes equations in a ball; mixed coordinates

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HUANG Wei;GUO Ben-yu . Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations[J]. Applied Mathematics and Mechanics, 2008 , 29(4) : 453 -476 . DOI: 10.1007/s10483-008-0404-1

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