中文摘要：

浅水间断流动条件下泥沙输移具有广阔的工程应用背景。采用基于准确Riemann解的Godunov格式求解法向数值通量，应用干底Riemann解计算动边界问题，建立了基于无结构三角形网格空间二阶精度的二维水流和泥沙输移有限体积法数值模型。模型在纯对流问题检验的基础上，模拟了孤立波在滩面上传播变形以及对圆柱周围的局部冲刷，复演了孤立波变形后流场和泥沙场突变的过程，并且圆柱周围局部冲刷坑计算结果与实验基本吻合。

英文摘要：

There exists is wide engineering application for sediment transport study in discontinuous shallow water flows. Based on the Godunov scheme with the exact Riemann solution to solve normal numerical flux, a 2D FVM numerical model of water flow and sediment transport was developed with unstructured triangular grids and the 2^nd-order scheme in Space, the exact Riemann solution on dry bed was used to simulate moving boundary. On the basis of verification on a pure convection problem, the model computed the propagation and deformation of solitary wave on beach, and the local scour around a cylinder caused by solitary wave, simulated the sudden changes of flow and sediment concentration due to the deformation of solitary wave. The computational results of the scour around a cylinder are consistent with the experiments.