【摘要】 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.更多还原

【Abstract】 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.更多还原