考虑扩散应力项的弯道平面二维水流数学模型

借鉴弯道水流流速沿垂向分布的研究成果,在二维浅水方程的基础上计入沿垂线方向变化的流速与沿水深平均流速之差引起的扩散应力项,在正交曲线坐标系下建立了平面二维水流数学模型.对Rozovskii 180°弯道的计算表明,本模型计算结果比不考虑扩散应力项的模型更如实地反映了弯道水流特性,对扩散应力项的分析表明其在二维弯道水流模拟中发挥很大的作用.

2D mathematical model of bend flow considering depth-averaged dispersion stress terms

A 2D shallow water flow mathematical model based on 2D depth-averaged model is established,in which the depth-averaged dispersion stress terms is considered.The dispersion stress terms can be solved by using previous research results of velocity profiles;so that the effects of circulation flow on depth averaged velocity are reflected by the model.Rozovskii 180°bend flow is simulated with the mathematical model;the results show that the model considering depth-averaged stress terms is more effective in bend flow simulations than the model without dispersion stress terms.Furthermore,an examination of the depth-averaged dispersion stress terms shows that the dispersion stresses play an important role in 2D bend flow simulations.