定常不可压缩NS方程的子格粘性非协调有限元方法  

A non-conforming finite element method of subgrid eddy viscosity model for the stationary incompressible Navier-Stokes equations

作　　者：白良[1] 刘程熙[2] 唐金波[1] 

机构地区：[1]四川大学数学学院,成都610064 [2]内江师范学院数学与信息科学学院,内江641112

出　　处：《四川大学学报（自然科学版）》2012年第1期46-54,共9页Journal of Sichuan University(Natural Science Edition)

摘　　要：作者将子格粘性法和非协调有限元方法相结合,应用到定常不可压缩NS方程,并采用C-R元建立了两种子格粘性非协调有限元格式,然后对其进行了理论分析.数值实验结果表明,子格粘性法与通常的Galerkin混合有限元相比,在高雷诺数时仍然具有较好的稳定性,在粗网格上能达到较高的精度.The authors combines subgrid eddy viscosity model and non-conforming, and applies it to the stationary incompressible Navier-Stokes equations. They adopt C-R element and sets up two forms of fi- nite element and give the theoretical analysis results. The numerical example shows that the subgrid ed- dy viscosity model is stable with high Reynolds number and has a high precision on coarse grids when compared to the normal Galerkin mixed finite element methods.

关 键 词：子格粘性模型 非协调有限元 NS方程 

分 类 号：O242.21[理学—计算数学]