非正交曲线坐标下三维弯曲河流湍流数学模型  

3-D turbulent model of meandering river in non-orthogonal curvilinear coordinates

作　　者：吴修广[1] 沈永明[2] 黄世昌[1] 

机构地区：[1]浙江省水利河口研究院,杭州310020 [2]大连理工大学海岸和近海工程国家重点实验室,大连116024

出　　处：《水力发电学报》2005年第4期36-41,4,共7页Journal of Hydroelectric Engineering

基　　金：国家重点基础研究发展计划(973计划项目)(2005CB24202);国家自然科学基金重点项目(10332050);国家自然科学基金项目(50379001)

摘　　要：本文在水平方向采用非正交曲线坐标,在垂直方向采用笛卡尔坐标系统,结合实际河床地形实行堵塞技术以实现对实际地形的模拟,在河床表面使用壁面函数法模拟河底阻力,在自由水面采用改进的“刚盖假定”方法,研究开发了非正交三维曲线坐标下的k-ε双方程湍流模型。通过实验室弯道对模型进行了验证,计算结果与实测值吻合较好,将模型应用于天然连续弯曲河流的流场计算,给出了4层流速矢量图和4个断面二次流矢量图。Aiming at the characteristic of hydrodynamic and substantial transport in natural meandering fiver with irregular boundary, non-orthogonal curvilinear coordinate is adopted in horizontal plane, Cartesian coordinate is adopted in vertical direction, jam technology of mesh is introduced to simulate the material landform, wall-function method is employed to simulate the bed resistance, and modified ‘rigid-lid hypothesis＇ mothod is used in water surface, combining all of which, the 3-D κ-ε turbulence hydrodynamic model is established in curvilinear coordinates. The model is validated in laboratory by meandering channel of main flow velocity of 3 sections and secondary flow velocity of 3 sections. The model is applied to simulate the natural river and comparison of the calculating results accords well with the data, which shows the application value of the model.

关 键 词：水力学 天然弯曲河流 非正交曲线坐标 κ-ε湍流模型 网格堵塞技术 刚盖假定 

分 类 号：TV131.4[水利工程—水力学及河流动力学]