应用一种高效、可靠的数值方法来模拟叶轮机械叶栅内部的实际流动，获取大量真实的流动信息，据此，在工程上可以总结出各种实用的规律，这样，可以为现代叶型设计提供一种快速、可靠、实用的途径．数值试验表明：用文中提出的二阶精度隐式矢通量单步差分格式求解叶栅的跨音流场，具有精度高、稳定性好、计算量少、收敛快等优点，在流场的计算中，较好地捕获了激波，与实验比较，结果令人满意． An efficient and reliable numerical method is used to simulate the actual flow inside the impeller mechanical cascade and to obtain a large amount of real flow information. Based on this, various practical rules can be summarized in the engineering so that the design of a modern leaf design Provide a fast, reliable and practical way. Numerical experiments show that the second-order implicit vector flux single-difference scheme proposed in this paper solves the transonic flow field of cascades with the advantages of high precision, good stability, less calculation and fast convergence. In the calculation, the shock wave was well captured, and compared with the experiment, the result is satisfactory.