航道工程泥沙数学模型的研究(Ⅰ)——模型的建立

Study on Sediment Mathematic Model for Waterway Engineering(Ⅰ)—Development of the Model

针对航道工程的特点，建立了一、二维泥沙数学模型，给出了一维非均匀全沙模型的基本方程、辅助方程和关键问题的处理方法．针对河道长宽相差悬殊的特点，提出了平面二维贴体正交曲线坐标系下紊流全沙模型的控制方程，采用控制体积法及相应的动边界技术数值求解了水流泥沙运动方程．

According to the characteristics of waterway engineering, a 1 D and a 2 D sediment mathematic model are developed in this paper. In order to simulate sediment transport in natural rivers under the effect of construction properly, the nonuniform nonequilibrium total load transport is considered in the 1 D model, and the supplemental equations or relations are presented. Because of the large difference between the length and the width of the channel, the governing equations of the 2 D model are given in the boundary fitting orthogonal coordinate system. The equations are solved numerically by use of the control volume method and the movable boundary technique.