求解不可压缩粘性流的GLS单元之比较  

A Comparative Study of Different GLS Elements for Solving Incompressible Viscous Flows

作　　者：魏泳涛[1] 于建华[1] Philippe H.Geubelle 

机构地区：[1]四川大学建筑与环境学院,四川成都610065 [2]Dept.of Aerospace Eng. Univ. of Illinois Urbana

出　　处：《四川大学学报（工程科学版）》2009年第1期60-67,共8页Journal of Sichuan University (Engineering Science Edition)

摘　　要：比较了用于求解不可压缩粘性流的四边形双线性、双二次单元及三角形二次单元的性能,这些单元采用GLS稳定化有限元格式,而压力和速度采用等阶数插值。对得出的非线性有限元方程,使用Newton-Raphson迭代来求解,推导了计算切线矩阵的所需公式。完成了对雷诺数分别为1000、5000、10000和20000的方腔上板流的数值模拟,并对不同单元的结果的精度和收敛率进行了比较。数值算例显示,较之于另两种单元,三角形的二次单元在精度和收敛性上达到最好的匹配。A comparative study of the bilinear,biquadratic quadrilateral element and quadratic triangular element for solving incompressible viscous flows is presented.These elements make use of the Galerkin/Least squares(GLS) stabilized finite element formulation,in which the pressures and velocities are interpolated with equal orders.The Newton-Raphson algorithm is employed in solving the nonlinear FEM equations.All formulae needed for calculating the tangential matrices are derived in details in a form to be easily...

关 键 词：不可压缩粘性流 GLS稳定化有限元 Newton-Raphson迭代 

分 类 号：O357.1[理学—流体力学]