曲线坐标下平面二维水流计算的代数应力湍流模型  

Algebraic-stress turbulent model for 2-D plane flow in curvilinear coordinates

作　　者：沈永明[1] 吴修广[2] 郑永红[3] 

机构地区：[1]大连理工大学海岸和近海工程国家重点实验室,辽宁大连116024 [2]浙江省水利河口研究院,浙江杭州310020 [3]中国科学院广州能源研究所,广东广州510070

出　　处：《水利学报》2005年第4期383-390,共8页Journal of Hydraulic Engineering

基　　金：国家自然科学基金项目(50379001);国家自然科学基金重点项目(10332050);辽宁省自然科学基金项目(20042153)

摘　　要：本文对浅水流动的控制方程进行坐标变换,导出了非正交曲线坐标下平面二维水流计算的代数应力模型公式,建立了非正交曲线坐标下平面二维水流计算的代数应力湍流模型。采用实验室连续弯道进行流场验证,给出了速度场、湍流动能、湍流动能耗散率和各应力的分布图,比较了本模型与k ε模型的湍流动能和湍流动能耗散率在各断面上的分布,结果显示了本模型定量上的正确性。The control equations of shallow flow in Cartesian coordinates are transformed into curvilinear coordinate system to meet the need of calculating the flow field having irregular boundary. The algebraic-stress turbulent model is introduced to establish an algebraic-stress turbulent model for 2-D plane flow in curvilinear coordinates. B-type interlaced discrete grid technology is applied for numerical computation, so that the calculation of u, v, k and ε can be arranged at the nodes of the grid. The software SIMPLEC for volume control method is used for computation. The validity of the model is verified by physical model test of meandering channel. The comparisons of distributions of turbulent energy and energy dissipation at different river sections between computation and model test show that the proposed method is better than the k-ε model.

关 键 词：曲线坐标 代数应力湍流模型 SIMPLEC算法 连续弯道 

分 类 号：TV131.4[水利工程—水力学及河流动力学]