荆江重点浅滩现状整治的二维动床数学模型研究——模型的建立

本文针对荆江河道边界形状复杂、长宽相差悬殊及水沙具有明显的二维特征,建立了正交曲线坐标系下河道二维动床数学模型。给出了正交曲线坐标系下二维动床数学模型的控制方程、控制方程的高散及数值解法、边界条件及动边界技术。细致地模拟了荆江卵石夹沙河床及沙质河床浅滩河段的水面线、流速场、含沙量浓度场及河床变形,计算的水位、流速分布及河床变形与实测资料吻合很好。

Study on Two Dimensional Mobile-Bed Mathematical Modelfor Present Regulation of Typical Shoals on Jinjiang River-Establishment of the Model

Based on characteristics of complicated boundary figures, great disparity between width and length of computational domin and the 2 -D character of water and sediment distribution on Jinjiang river, the 2 -D mobile -bed mathematical model in the orthogonal curvilinear coordinates were established in this paper. The govern equations, the separation and numerical solution of the govern equation in the orthogonal curvilinear coordinates, the boundary condition and the movable boundary technique were given. The water surface level, velocity field and sediment concentration field of gravel-sand bed and sand bed reach on Jinjiang river were refinedly simulated. The calculated results show that, the water level, the velocity distribution and the river bed deformation were in close agreement with the field results.