采用逆风格式的有限差分算法，建立了浅水方程的平面二维溃坝洪水演进数学模型。提出了洪水演进计算中“干湿”边界的处理方法，较好地解决了动边界模拟问题。研制了数学模型后处理模块，实现了溃坝洪水演进过程的动态演示。采用Fraccrollo等的部分溃坝模型试验成果对数学模型进行了检验，除溃坝初期在口门附近的水位存在一定差异外，其他位置验证较好。并将该模型应用于天然干河床的洪水演进计算。

A planar 2D mathematical model of the shallow water equations for solving dam-break flood flow problems is presented based on the reverse format. A good method of dealing with wet and dry boundary in calculation is given in the article, so the movable boundary simulation problem is solved successfully. And the dynamic display of the flood routing comes true by treating module. Taking the measured data of partial dam-break models given by Fraccrollo et al as the examination of mathematical model, the results show that the calculated water elevations agree well with the experimental results except near the dam site at the beginning of dam-break. In the end, the model is applied in the calculation of natural dry-bed river flood routing.