不可压缩粘性流的SU/PG加罚有限元分析

The SU/PG finite element analysis of incompressible viscous flow with penalty method

对不可压缩粘性Navier–Stokes方程,通过罚函数改写了连续性方程.建立了基于速度–压力变量的SU/PG有限元法格式,并导出了相应的Newton–Raphson同步迭代算法,完成了相应有限元列式推导.通过二维方腔中的上盖板拖动流的算例,验证了该算法的有效性.

For the incompressible viscous Navier-stokes equations, a penalty function is introduced to modify the continuity equation. A SU/PG scheme of finite element method based on the velocity-pression variable is established. The corresponding Newton-Raphson synchronous iteration mehtod and the FEM formulations are deduced. Through analyzing the example of the two-dimensional lid-driven square cavity flow, it indicates that the algorithm is efficient.