收稿日期: 2016-08-30
网络出版日期: 2018-08-31
基金资助
国家自然科学基金资助项目(11372170);国家自然科学基金资助项目(11571225);上海市重点学科建设资助项目(J50101)
Mixed Legendre-spherical harmonic spectral method for solving Navier-Stokes equations
Received date: 2016-08-30
Online published: 2018-08-31
提出了一种用于两同心球所介区域上 Navier-Stokes 方程的全离散混合 Legendre-球面调和谱方法, 该方法在半径方向上采用 Legendre 正交逼近, 在球面方向上采用球面调和正交逼近, 在时间方向上采用差商代替微商. 数值结果表明了该方法的有效性.
关键词： 谱方法; Navier-Stokes 方程; 同心球
宋洋, 黄伟 . 混合 Legendre-球面调和谱方法数值求解 Navier-Stokes 方程[J]. 上海大学学报(自然科学版), 2018 , 24(4) : 602 -608 . DOI: 10.12066/j.issn.1007-2861.1847
A fully discrete mixed Legendre-spherical harmonic spectral method was proposed for the Navier-Stokes equations in a domain between two concentric balls. Legendre orthogonal approximation is used in the radial direction, and spherical harmonic orthogonal approximation in other directions. The forward difference quotient is used for time derivative. Numerical results show efficiency of this approach.
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