混合Legendre-球面调和谱方法数值求解Navier-Stokes方程  

Mixed Legendre-spherical harmonic spectral method for solving Navier-Stokes equations

作　　者：宋洋 黄伟[1] SONG Yang;HUANG Wei(College of Sciences,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学理学院,上海200444

出　　处：《上海大学学报（自然科学版）》2018年第4期602-608,共7页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金资助项目(11372170;11571225);上海市重点学科建设资助项目(J50101)

摘　　要：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.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.

关 键 词：谱方法 NAVIER-STOKES方程 同心球 

分 类 号：O241.82[理学—计算数学]