中文摘要：

A 优化 upwind/PetrovGalerkin (SUPG ) 基于惩罚，功能为稳定的不可压缩的 NavierStokes 方程被建议的有限元素方法。SUPG 稳定技术为动量方程的明确的表达被采用。用惩罚功能方法，连续性方程被简化，动量方程的压力被消除。盖驱动的洞流动问题用现在的模型被解决。稳定的流动模拟是可计算出来的直到 \ ，这被显示出(Re = 27500 \) ，并且现在的结果与以前的答案同意很好。主要旋涡的性质的公布结果也被为 benchmarking 目的提供。

英文摘要：

A streamline upwind/Petrov-Galerkin （SUPG） finite element method based on a penalty function is pro- posed for steady incompressible Navier-Stokes equations. The SUPG stabilization technique is employed for the for- mulation of momentum equations. Using the penalty function method, the continuity equation is simplified and the pres- sure of the momentum equations is eliminated. The lid-driven cavity flow problem is solved using the present model. It is shown that steady flow simulations are computable up to Re = 27500, and the present results agree well with previous solutions. Tabulated results for the properties of the primary vortex are also provided for benchmarking purposes.