借助现代计算流体动力学（ＣＦＤ）技术讨论应用数值方法来模拟叶轮机械叶栅内部的实际流动，以期获取大量真实可靠的流动信息。据此，建立一种结合湍流模型的二阶精度稳式矢通量单步差分格式并用来求解叶栅的跨音流场，数值试验表明：该方法具有精度较高、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，与实验数据比较，结果令人满意。 With the help of modern computational fluid dynamics (CFD) technology, the numerical method is applied to simulate the actual flow inside the impeller mechanical cascade in order to obtain a large amount of real and reliable flow information. Based on this, a second-order steady-state vector flux single-step difference scheme based on turbulence model is established and used to solve the transonic flow field of cascades. Numerical experiments show that this method has the advantages of high accuracy, good stability, Less, faster convergence, etc. In the calculation of the flow field, the shock wave is well captured, and compared with the experimental data, the result is satisfactory.