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高速离心压气机是用途非常广泛的一种动力机械，充分了解其内部复杂的三维流场对设计高压比、高效率离心压气机具有很重大的意义。本文采用一种简化的Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程的计算方法－粘性体积力方法，计算了Ｋｒａｉｎ叶轮内部流场。使用Ｈ型网格离散微分方程，并采用多重网格方法和当地时间步长方法加速计算收敛。粘性应力通过Ｂａｌｄｗｉｎ－Ｌｏｍａｘ模型计算。为了证明计算结果的有效性，文中也给出了相应的激光测量结果。
High-speed centrifugal compressor is a kind of power machinery with a very wide range of uses. It is of great significance to design a high-pressure ratio and high-efficiency centrifugal compressor to fully understand its complicated three-dimensional flow field. In this paper, a simplified Navier-Stokes equation method - viscous body-force method is used to calculate the flow field inside the Krain impeller. H-grid discrete-time differential equations are used, and multiple grid methods and local time-step methods are used to speed up the calculation of convergence. Viscous stress is calculated using the Baldwin-Lomax model. In order to prove the validity of the calculation results, the corresponding laser measurement results are given.