节点文献
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
【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.
【Abstract】 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；
【Key words】 Stokes equations； Navier-Stokes equations； stabilized finite element method； two local Gauss integral technique； inf-sup condition；
【Key words】 Stokes equations； Navier-Stokes equations； stabilized finite element method； two local Gauss integral technique； inf-sup condition；
【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)
- 【文献出处】 工程数学学报 ,Chinese Journal of Engineering Mathematics , 编辑部邮箱 ,2012年02期
- 【分类号】O241.82;O357
- 【被引频次】2
- 【下载频次】75