CAJ | 학술논문

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。
재압력투영급다척도변분법적기출상,본문침대순태Naiver-Stokes문제제출일충신적은정화방법,차방법채용비협조차불만족inf-sup조건적속도급압력유한원공간。문중적은정화방법구비일사우세：능피면고계미분적계산,수거결구여단원변계무관;지재호적척도상증가리산적속도항,대고뢰낙수적류체흔유효;불증가계산성본。
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.