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采用同位非结构化网格上的有限体积法，对ＮａｖｉｅｒＳｔｏｋｅｓ 方程的ＳＩＭＰＬＥ 算法及差分格式进行了研究．提出了适用于非结构化网格的不用求解单元顶点变量值的二阶混合差分格式．该格式的优点在于：１） 减少了计算工作量；２） 避免了普通混合差分格式因使用简单的一阶迎风差分格式所引起的网格界面方向相关性的问题．最后，采用三角形网格，利用提出的方法及差分格式，对方腔内的驱动层流及绕翼型湍流进行了数值计算，计算结果与基准解或实验值的符合程度优于普通混合差分格式
The SIMPLE algorithm and the difference scheme of the Navier-Stokes equations are studied by the finite volume method on the same-site unstructured grid. A second-order hybrid difference scheme is proposed for unstructured grids without solving the values of the element vertices. The advantages of this format are: 1) reducing the computational effort; 2) avoiding the problem of the directional dependencies of the grid interface caused by using the simple first-order upwind difference format in the normal mixed difference format. Finally, using the triangular mesh, using the proposed method and the difference scheme, the laminar laminar flow and the airfoil turbulence in the cavity are numerically calculated. The calculated results are in good agreement with the standard solution or the experimental data.