求解瞬态Naiver-Stokes问题的一种稳定化方法

在压力投影及多尺度变分法的基础上,本文针对瞬态Naiver-Stokes问题提出一种新的稳定化方法,此方法采用非协调且不满足inf-sup条件的速度及压力有限元空间。文中的稳定化方法具备一些优势:能避免高阶微分的计算,数据结构与单元边界无关;只在好的尺度上增加离散的速度项,对高雷诺数的流体很有效;不增加计算成本。

Stabilized Method for Transient Naiver-Stokes Equations

Based on the pressure projection and the variational multi-scale method,this paper presents a new stabilized method for the transient Naiver-Stokes equations by using the velocity of the nonconforming and inf-sup condition and finite element of the pressure.The stabilizing method in this paper has some attractive features that the calculation of higher-order differential can be avoided and the data structure has nothing to do with the boundary element,the method adds the discrete velocity term only on the fine scale and is very effective for high Reynolds number fluid flows,and it avoids the increase of computing costs.