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本文针对三维水流所具有的紊动各向异性、不规则边界及自由表面和动床问题，采用修正的Ｋ－ε模型封闭Ｒｅｙｎｏｌｄｓ方程作为紊流控制方程；引入通度概念处理不规则边界；引用ＶＯＦ法追踪自由表面；根据冲刷过程的物理特性推得冲刷坑的发展规律并用前人公式及试验资料验证。最后，作为例子就南水北调中线方案名河渡槽河段的流场和河床变形进行数值模拟，给出了一些工程上有用的结果。
In this paper, the closed-loop Reynolds equation is closed with the modified K-ε model as a turbulent flow control equation for turbulent anisotropy, irregular boundary and free-surface and moving bed problems of three-dimensional water flow. The concept of continuity is introduced to deal with irregular boundaries. VOF method to trace the free surface; according to the physical characteristics of scouring process scouring the development of scouring pit and use the previous formula and test data validation. Finally, as an example, numerical simulation of flow field and riverbed deformation of the Minghe aqueduct in the mid-route of the South-to-North Water Diversion Project is presented. Some engineering results are given.