考虑弯道环流影响的平面二维水沙数学模型(Ⅰ)——模型的建立  

Two-dimensional sedimentation model of channel bend. Part 1. Development of the model

作　　者：易雨君[1] 王兆印[2] 张尚弘[3] 

机构地区：[1]北京师范大学环境学院,北京100875 [2]清华大学水沙科学与水利水电工程国家重点实验室,北京100084 [3]华北电力大学可再生能源学院,北京102206

出　　处：《水力发电学报》2010年第1期126-132,共7页Journal of Hydroelectric Engineering

基　　金：国家自然科学基金项目(50909006);水资源与水电工程科学国家重点实验室开放研究基金(2009B059)

摘　　要：弯道环流是影响河道断面流速、含沙量分布及河床冲淤的重要影响因素。一般的二维水流数学模型没有考虑弯道环流对断面流速及横向输沙的影响,本文在深度平均的平面二维k-ε紊流数学模型中加入反映弯道引起的二次流及横向输沙附加项,对平面二维水流运动方程和悬移质不平衡输沙方程进行扩展,使之能更准确地模拟出弯道处流速及含沙量的断面分布情况。This paper presents a 2D depth-averaged mathematical model for simulating flow patterns and sediment transportation at channel bends. The model uses an orthogonal curvilinear coordinate system to efficiently and accurately simulate the flow field with irregular boundaries. The effect of secondary flow and the transverse sediment transportation are modeled by adding dispersion terms to the flow momentum equation and non-equilibrium suspend sediment transportation equation, with the dispersion stresses obtained by integration of the product of the sediment concentration and the discrepancy between depth-averaged and true velocities. One application of this model is to simulate flow of alluvial rivers with meanders and braids.

关 键 词：泥沙动力学 二维数学模型 弯道环流 二次流 横向输沙 

分 类 号：TV131.4[水利工程—水力学及河流动力学]