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 mathematical model of one-dimensional and two-dimensional sediment was established. The basic equations, auxiliary equations and the treatment of key problems in one-dimensional non-uniform sand model were given. Aiming at the great difference between the length and width of the river, the governing equations of the turbulent all-sand model in the planar two-dimensional patchy orthogonal curvilinear coordinate system are proposed. The governing equations of the flow and sediment are numerically solved by the control volume method and the corresponding dynamic boundary technique.