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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.
Based on the research results of vertical distribution of flow velocity in curved road, based on the two-dimensional shallow water equation, the diffusion stress term caused by the difference between vertical flow velocity and average velocity along the water depth is taken into account. Under the orthogonal curvilinear coordinate system A mathematical model of planar two-dimensional flow is established.The calculation of Rozovskii 180 ° bend shows that the calculated results of this model reflect the curve flow characteristics more faithfully than the model without considering the diffusion stress term. The analysis of the diffusion stress term shows that Two-dimensional curve flow simulation plays a big role.