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对不可压缩流体沿二维后台阶流动的Ｎ－Ｓ方程的流函数－涡量式用有限元方法加以求解，固壁上的涡量用时间迭代法加以确定。分别计算Ｒｅ＝２００，４００，８００和１０００时流动区域的流函数和涡量值，并在Ｒｅ＝８００时与有关文献的结果相比较，基本吻合。且在此基础上讨论了出口条件对计算结果的影响。本文的方法对分析流经液压阀口等流动问题具有借鉴意义。
The flow function-vorticity of the N-S equations of incompressible fluid flowing along the back two-dimensional steps is solved by the finite element method. The vorticity on the solid wall is determined by the time iteration method. The flow functions and vorticity values in the flow region at Re = 200, 400, 800 and 1000 are calculated respectively and are basically in agreement with the results of the relevant literature at Re = 800. On this basis, the influence of export conditions on the calculation results is discussed. The method in this paper is of great significance for the analysis of flow problems such as flow through the hydraulic valve port.