中文摘要：

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。

英文摘要：

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.