定常不可压缩NS方程的子格粘性非协调有限元方法

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.

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

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 finite element and give the theoretical analysis results. The numerical example shows that the subgrid eddy 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.