N-S方程的非线性Galerkin算法的稳定性  

On Stability of the Nonlinear Galerkin Methods for the Navier Stokes Equations

作　　者：何银年[1] 黄庆怀[1] 

机构地区：[1]西安交通大学

出　　处：《西安交通大学学报》1997年第2期113-120,共8页Journal of Xi'an Jiaotong University

基　　金：西安交通大学科研基金;攀登计划资助

摘　　要：提出了求解二维非定常Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ（Ｎ－Ｓ）方程的３种全离散非线性Ｇａｌｅｒｋｉｎ算法，其中空间离散由谱元非线性Ｇａｌｅｒｋｉｎ算法进行，时间离散分别由Ｅｕ－ｌｅｒ法，修正的Ｇｒａｎｋ－Ｎｉｃｏｌｓｏｎ法和两步法进行．此外还分析了这些算法的有界性和稳定性。This paper provides three kinds of fully discrete nonlinear Galerkin methods for solving the 2 D transient Navier Stokes equations. Spatial discretization is performed by the spectral nonlinear Galerkin method and time discretizations are made by Euler method,the modified Crank-Nicolson method and two step method. Moreover, the boundedness and stability of these methods are analyzed and the time step constraint conditions is provided.

关 键 词：N-S方程 稳定性 非线性 加辽金算法 

分 类 号：O357.1[理学—流体力学] O241.82[理学—力学]