中文摘要：

基于黄河下游段河道形态曲折、纬度沿程增加,具有凌情变化复杂,易于形成冰塞或冰坝等诸多特征。该文利用欧拉有限元方法进行了水动力模拟,同时应用基于光滑粒子流体动力学（SPH）的拉格朗日离散元方法（DPM）进行了冰动力输运模拟,且实现了水动力与冰输移二维数值模拟的相互耦合与冰输移和冰塞过程的精细模拟。其数值模拟结果经与泺口水文站冰密集度的实测资料对比分析,二者吻合较好,说明该数学模型的基本控制方程与边界处理正确,计算精度能够满足防洪减灾的技术要求。

英文摘要：

Based on the characteristic of the lower Yellow River that the river is circuitous, flows from the low latitudes to the high latitudes, and complex changes of ice condition, easy to form ice jam and ice dam, the Eulerian finite element method is used for the hydrodynamic simulations; meanwhile, a Lagrangian discrete parcel method based on the smoothed particle hydrodynamics is applied to simulating the transport of surface ice and ice jam, a couple model of the 2D numerical simulation of hydrodynamic and ice transport is obtained, and accurately simulated the process of ice transport and ice jam. Compared the results of the numerical simulation with the measured data of ice concentration from Luokou hydrological station, it is found both agree well with each other, so it is shown that basic equations of the mathematical model and boundary treatment are basically correct. The accuracy may meet the technical requirements of flood control and mitigation of the lower reach of Yellow River.