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.
出处
《四川大学学报(自然科学版)》
CAS
CSCD
北大核心
2012年第1期46-54,共9页
Journal of Sichuan University(Natural Science Edition)
关键词
子格粘性模型
非协调有限元
NS方程
subgrid eddy viscosity model, non-conforming finite element, N-S equation