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采用一种粘性体积力方法简化三维Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ 方程的求解过程，计算了Ｋｒａｉｎ 叶轮内部流场。使用Ｈ 型网格离散微分方程，离散后的方程使用显式时间推进的有限体积方法求解。还以Ｋｒａｉｎ 离心压气机叶轮为原型，对这个叶轮的叶型形状进行局部修改，根据计算结果发现如何修改叶片形状才能达到改善叶轮性能的目的。
A viscous body force method is used to simplify the solving process of the three-dimensional Navier-Stokes equations and the flow field inside the Krain impeller is calculated. Using the H-grid discrete-time differential equations, the discrete equations are solved using the finite-volume method of explicit time-propulsion. The Krain centrifugal compressor impeller is also used as a prototype to locally modify the shape of the impeller. According to the calculation results, it is found that how to modify the shape of the impeller can achieve the purpose of improving the impeller performance.