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

被引：0

作者：

黄伟 ^{[1
]}

郭本瑜 ^{[2
]}

机构：

[1] Department of Mathematics,Shanghai University

[2] Department of Mathematics,Shanghai Normal University

来源：

Applied Mathematics and Mechanics(English Edition) | 2008年 / 04期

基金：

中国国家自然科学基金;

关键词：

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

D O I：

暂无

中图分类号：

O241.82 [偏微分方程的数值解法]; O357.1 [不可压缩粘性流体力学];

学科分类号：

070102 ; 080103 ; 080704 ;

摘要：

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.

引用

页码：453 / 476

页数：24

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