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提出求解不可压缩 Navier- Stokes方程的分步有限元格式 ,该格式没有高阶微分项产生、程序编制简单 ,适用于非线性的多维复杂流动。应用该方法实际模拟了二维圆柱绕流的旋涡形成与脱落过程 ,得出了不同 Re情况下圆柱绕流的流速分布。计算得到的不同 Re下的旋涡脱落频率(Strouhal数 )与前人已有的经典解答符合良好
A finite element scheme for solving the incompressible Navier-Stokes equations is proposed. The proposed scheme has no high-order differential terms and has simple programming. It is suitable for nonlinear multi-dimensional complex flow. The method is used to simulate the vortex formation and shedding of a two-dimensional cylindrical flow, and the flow velocity distribution of the circular flow around the cylinder under different Re conditions is obtained. The calculated vortex shedding frequencies (Strouhal numbers) under different Re are in good agreement with the existing classical solutions