外部非定常Navier-Stokes方程的非线性Galerkin算法  

Nonlinear Galerkin Method for the Exterior Nonstationary Navier_Stokes Equations

作　　者：何银年[1] 李开泰[1] 

机构地区：[1]西安交通大学理学院科学计算系,西安710049

出　　处：《应用数学和力学》2002年第11期1141-1149,共9页Applied Mathematics and Mechanics

基　　金：国家重大基础研究发展规划专项基金资助项目(G1999032801_07);国家自然科学基金资助项目(19971067);陕西省自然科学基金资助项目(99SL05);教育部留学回国人员基金资助项目([1999]747)

摘　　要：　提出了求解外部非定常Navier＿stokes方程的有限元边界元耦合的非线性Galerkin算法,证明了相应变分问题的正则性和数值解的收敛速度·　收敛性分析表明如果选取粗网格尺度H是细网格尺度h的开平方数量级,则该算法提供了与古典Galerkin算法同阶的收敛速度　·然而非线性Galerkin算法仅仅需要在粗网格解非线性问题,在细网格上解线性问题·　因此。A new algorithm combining nonlinear Galerkin method and coupling method of finite element and boundary element is introduced to solve the exterior nonstationary Navier-Stokes equations The regularity of the coupling variational formulation and the convergence of the approximate solution corresponding to the algorithm are proved If the fine mesh h is choosed as coarse mesh H-sgure, the nonlinear Galerkin method, nonlinearity is only treated on the coarse grid and linearity is treated on the fine grid Hence, the new algorithm can save a large amount of computational time

关 键 词：外部非定常Navier-Stokes方程 非线性 GALERKIN算法 有限元 边界元 

分 类 号：O357[理学—流体力学] O241.82[理学—力学]