中文摘要：

分析浅水方程的基本特性及其求解的困难,回顾国内外求解大尺度间断流动的关键技术问题,包括计算格式、守恒型控制方程中压力项与底坡源项的＂和谐＂处理方法,以及间断流动条件下的动边界模拟方法。

英文摘要：

The basic characteristics of the shallow water equations and the difficulties for solving them were analyzed.The key techniques for solving large-scale discontinuous shallow water flows were reviewed,including the main computational schemes,the ＂well-balanced＂ method between pressure terms and source terms due to bottom topography in the conservative shallow water equations and the modeling technique of moving boundaries under discontinuous shallow water flows.