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

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

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.

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作 者: HUANG Wei GUO Ben-yu  
作者单位:HUANG Wei(Department of Mathematics,Shanghai University,Shanghai 200444,P.R.China)水利论文]t%M+V\
GUO Ben-yu(Department of Mathematics,Shanghai Normal University,Shanghai 200234,P.R.China;Scientific Computing Key Laboratory of Shanghai Universities,Shanghai 200234,P.R.China;Division of Computational Science of E-Institute of Shanghai Universities,Shanghai 200234,P.R.China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2008 29(4) 
分类号:O174.41 O241.82 O357.1 
关键词:fully discrete Jacobi-spherical harmonic spectral method   Navier-Stokes equations in a ball   mixed coordinates  
机标关键词:stability and convergencespectral method 
基金项目:国家自然科学基金,上海市科委资助项目,Shanghai Leading Academic Discipline Projects,Fund for E-institutes of Universities in Shanghai,上海大学创新基金 
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