黄河小浪底坝区蓄水过程泥沙数学模型的研究

考虑高含沙水流特殊的运动规律，选用适当的公式和参数，得到多沙河流平面二维水沙运动方程，用SIMPLER程式求解。求解过程中为提高数学模型的精度，根据高含沙水流特性，采用了将沙场与流场进行耦合计算的方法；对沙场收敛条件提出应满足含沙量场与挟沙力场均稳定的观点，并给出了具体的判断式；对恢复饱和系数的取值进行了有意义的讨论。利用数学模型对黄河小浪底坝区物理模型的蓄水过程进行了模拟，通过计算结果与实测物模地形变化的对比，验证了建立的数学模型的正确性。

Study on Sediment Mathematical Model for Water Storage Process at Xiaolangdi Dam on Yellow River

In consideration of special rheological features of hyper concentration sediment flow and through appropriate selection of formulae and parameters,a 2 D mathematical model for water sediment movement is developed and solved with SIMPLER algorithm in this paper.For the improvement of model precision,the calculating method of flow sediment field coupling is adopted,and the view of keeping the stability of sediment distribution is proposed.The numerical model is applied to the simulation of water storage process of the physical model.A comparison of the calculated result with the topographic variation of the physical model shows that the present model is correct.