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建立了正交曲线坐标系下二维紊流全沙数学模型，水流模型采用紊动动能和紊动耗散率闭合雷诺方程，把悬移质输沙概化为单纯淤积、单纯冲刷和淤粗冲细三种情况，依据悬沙与床沙交换机理建立了挟沙能力和非均匀沙分组挟沙能力的表达式．在水流输运及分组含沙量输运方程的离散过程中，采用守衡性较好的控制体积法和SIMPLEC计算程式，以提高计算稳定性和加快收敛．本模型对复杂条件的河床适应性较强，为平面二维长河段的河床变形计算进一步创造了条件．
The mathematical model of two-dimensional turbulent all-sediment in orthogonal curvilinear coordinate system was established. The turbulence kinetic energy and turbulent dissipation rate closed the Reynolds equation. The suspended sediment transport was characterized by simple siltation, simple scour and thick silt According to the mechanism of suspended sediment and bed-sand exchange, an expression for sediment-carrying capacity and sediment-carrying capacity of non-uniform sand group was established. In the process of water flow transport and the transport process of sub-group sediment concentration, the well-balanced control volume method and SIMPLEC calculation program are used to improve the computational stability and speed up the convergence. This model has strong adaptability to the riverbed in complicated conditions and further creates the conditions for the calculation of riverbed deformation in the long two-dimensional section of the plane.