二维Navier-Stokes方程:变模非线性Galerkin方法和数值稳定性  

Two-Dimensional Navier-Stokes Equations：A Nonlinear Galerkin Method with Variable Modes and its Numerical Stability

作　　者：伍渝江[1] 宋伦继[1] 赵廷刚[1] 

机构地区：[1]兰州大学数学系,甘肃兰州730000

出　　处：《河西学院学报》2002年第2期13-18,共6页Journal of Hexi University

基　　金：教育部"高等学校骨干教师资助计划"

摘　　要：本文讨论采用非对称反馈作校正的变模非线性Galerkin方法，给出数值求解空间维 数为2的Navier - Stokes方程的离散格式及其数值稳定性分析，得到了与标准非线性Galerk in方法一致的稳定性结论．This paper discusses the nonlinear Galerkin method with variable modes which makes use of the nonsymmetric feedback as the correction. We give the discrete scheme and the numerical stability analysis for solving Navier-Stokes equaitons with two space dimension. The conclusion for stability is the same as that of the standard nonlin-ear Galerkin method． Key words：

关 键 词：二维NAVIER-STOKES方程 非线性GALERKIN方法 数值稳定性 近似惯性流形 数值求解 

分 类 号：O241.82[理学—计算数学]