基于紊流随机理论的航槽三维流动数学模型  

A stochastic turbulence theory-based numerical model of 3-D flow in a dredged channel

作　　者：杨向华[1] 陆永军[2] 邵学军[1] 

机构地区：[1]清华大学水利水电工程系,北京100084 [2]南京水利科学研究院,江苏南京210029

出　　处：《海洋工程》2003年第2期38-44,共7页The Ocean Engineering

基　　金：国家自然科学基金资助项目(50179015);三峡工程坝区泥沙问题基础性研究项目资助(95-3-3)

摘　　要：根据窦国仁的紊流随机理论,建立了一种模拟河口海岸水域中航槽三维流动的数学模型。采用控制体积法导出三维偏微分方程的离散格式;将水压力分解为动水压力和静水压力,用Patankar和Spalding提出的压力校正法求解动水压力,通过求解水位控制方程来得到自由表面;紊流模型采用窦国仁提出的紊流随机理论,克服了k-ε模型中采用各向同性紊动粘滞系数的不足,而k-ε模型可作为紊流随机理论的一个特例。该模型计算了各种不同挖深比,各种航槽与水流交角的航槽流速分布,利用该模型计算得到的挖槽中的流速分布与水槽及水池试验资料相吻合。利用该模型可为开敞水域中开挖航槽的选择提供依据。A 3D numerical model is established based on the stochastic turbulence theory developed by Dou Guoren, which can simulate flow in dredged channels in coastal and estuarine areas. The governing equations are discretized using a controlvolume method and the pressure term is divided into dynamic and static terms. The solution procedure is based on the wellknown SIMPLE method, and the free surface level is obtained by solving the watersurface equation. The turbulence closure model used in this study is nonisotropic in terms of eddy viscosity and turbulence stress calculations, which is different from the k-ε model and can include the k-ε model as a special case. The numerical model is applied to several dredged channels and the predicted flow agrees well with experimental measurements.

关 键 词：紊流随机理论 航槽 三维数学模型 各项异性紊流模型 

分 类 号：O357.6[理学—流体力学] O242.1[理学—力学]