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
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
收藏
页码:453 / 476
页数:24
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