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文中提出了跨声速叶轮机械中三维流动的一种正、反混合问题。首先，将作者于１９８３年提出的平面叶栅跨声速流动的正、反混合问题￣［１］推广到三维流动情况，其中反问题的特点是既能计及叶片的气动性能，又能在一定程度上兼顾强度、冷却、工艺等方面的要求。其次，由于应用了作者设计的一种适合叶轮机械中三维流动特点的广义ＶｏｎＭｉｓｅｓ坐标系，克服了反问题所特有的不定求解域边界的困难，并将三维正问题分析、叶片的完全三维设计以及三维叶片的局部改型融合于同一个算法之中，从而使所编制的程序功能十分宽广和灵活。最后，三个典型算例的结果表明文中提出的叶轮机械中三维跨声速流动正、反混合问题的模型及解法是合理的，并且具有精确度高、收敛速率很快等突出优点。
In this paper, a kind of positive and anti-mixed problem of three-dimensional flow in transonic impeller is proposed. Firstly, the author introduced the positive and anti-mixing problems of planar cascade transonic flow [1] proposed in 1983 to three-dimensional flow. The inverse problem is characterized by both the aerodynamic performance of the blade and the constant To the extent of taking into account the strength, cooling, technology and other aspects of the request. Secondly, due to the application of a generalized VonMises coordinate system designed by the authors for the three-dimensional flow in impeller machinery, the unique problem of indefinite domain boundary solving is overcome, and three-dimensional positive problem analysis, full three-dimensional blade design and The local modification of the three-dimensional blade merges into the same algorithm, making the program very versatile and flexible. Finally, the results of the three typical examples show that the proposed model and solution of the three-dimensional transonic flow positive and anti-mixing problems in the impeller are reasonable, and have the advantages of high accuracy and fast convergence rate.