以吴仲华教授提出的两类相对流面理论为基础，在任意回转和流面上，用流函数有限差分松驰法求解了复合型叶栅的流场。所求出的轴流式叶栅流场叶型表面速度分布与文献〔１、２〕中试验结果吻合的很好，通过对含有单个分流叶片的离心式压气机叶栅流场进行了计算，确定出最佳的分流叶片位置。还对串列叶栅的流场进行了计算，计算结果与文献〔３〕中试验数据吻合较满意。通过计算得到的结果与理论分析和试验得到的结论是一致的。 Based on the two types of relative flow theory proposed by Professor Wu Zhonghua, the flow field of the compound cascade is solved by the finite difference relaxation method of flow function on any rotation and flow surface. The calculated axial surface velocity distribution of axial flow cascade flow field is in good agreement with the experimental results in [1] and [2]. By calculating the flow field of a centrifugal compressor cascade with a single splitter blade, Identify the best splitter blade position. The flow field of tandem cascade was also calculated. The calculated results are in good agreement with the experimental data in [3]. The calculated results are consistent with the theoretical analysis and experimental conclusion.