应用四边形单元稳定化有限元方法求解定常不可压缩流动问题(英文)  

Numerical Applications of the New Stabilized Quadrilateral Finite Element Method for Stationary Incompressible Flows

作　　者：于佳平[1] 史峰[2] 李剑 李开泰[1] 

机构地区：[1]西安交通大学数学与统计学院,西安710049 [2]中科院深圳先进技术研究院工程与科学计算研究室,深圳518055 [3]宝鸡文理大学数学系,宝鸡721007

出　　处：《工程数学学报》2012年第2期309-316,共8页Chinese Journal of Engineering Mathematics

基　　金：The National Natural Science Foundation of China(10971165;11001216;11071193;10871156);the National High-Tech Research and Development Program of China(2009AA01A135);the Foundation of AVIC Chengdu Aircraft Design and Research Institute;the Science Research Foundation of SNEDU(2010JK560)

摘　　要：本文回顾了李剑等针对Stokes和Navier-Stokes方程提出的一种新稳定化有限元方法,该方法采用局部高斯积分残差技术,适用于最低阶等阶(双)线性有限元对.对于等价双线性元对,给出了求解Stokes和Navier-Stokes方程的一些数值算例,验证了理论分析的正确性.In this paper,we recall a new stabilized finite element method proposed by Li J et al,which is based on two local Gauss integral technique for Stokes and Navier-Stokes equations approximated by the lowest equal-order（bi） linear finite element pairs,and give some numerical examples of Stokes equations and Navier-Stokes equations for the bilinear finite elements.The experiment performs and agrees with the theoretical analysis well.

关 键 词：STOKES方程 Navier-Stokes方程 稳定化有限元方法 局部高斯积分残差技术 INF-SUP条件 

分 类 号：O241.82[理学—计算数学] O242.21[理学—数学]