摘要
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。
To solve the problems of irregular boundaries, free surfaces and varying river bed boundary in predicting three dimensional anisotropic river flow and river bed scouring, a modified K-εturbulence model is derived, and the governing equations of turbulent flow over irregular boundary are developed by analyzing the solid-liquid two-phase theoretical flow model. And furthermore a partial-cell parameter is introduced to treat irregular boundary, which allows curved boundaries and internal obstacles or islands. For free surfaces, a simple but powerful method is described that is based on the concept of a fractional volume of fluid(VOF). to get the varying river bed boundary,we derived a formula stating the relationship between scouring depth and time and compared with experimental with results. At last simulated Ming River and get some useful results for engineering use.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
1996年第3期241-250,共10页
Chinese Journal of Hydrodynamics
关键词
三维水流的数学模型
河床变形
D mathematical model for river flow, river bed scouring.
