中文摘要：

浅水动边界（干湿边界）问题具有广阔的工程应用背景,准确模拟动边界条件下的间断流动,并保证水量守恒是动边界计算的最大困难。论文针对有限体积法,应用能模拟间断流的干底准确Riemann解求解干、湿单元界面的数值通量。模型在动边界条件下静水、溃坝波和水面自由振荡等算例检验的基础上,应用到实际水库的溃坝波模拟。结果表明该方法能准确模拟动边界条件下的间断流动,具有稳定性好、精度高、水量守恒等优点。

英文摘要：

The problem of wetting and drying for shallow flows has the wide background of engineering application. The main difficulty for simulating wetting and drying is to accurately compute discontinuous flows in unsteady wetting-drying conditions in shallow flows over dry irregular topography, and keep the water volume conservation in the computational region. This paper aims to FVM （finite volume method）, exact Riemann solution on dry bed, which can simulate discontinuous flows, is applied to compute the numerical flux of the interface between wetting and drying cells. Based on the verification of static water, dam-break flow, nonlinear long-wave resonance in wetting-drying conditions, the method is applied to simulate the dam-break flow of an actual reservoir. The computational results show that the proposed method can simulate discontinuous flows in unsteady wetting-drying conditions, and has good stabilization, high resolution, and the conservation of volume water.