山区河道溃坝水流数值模拟

Simulation of Dam Break Flow in Mountain River

为了研究溃坝水流在山区河道中的传播,采用SPH方法来求解2维浅水方程,建立了溃坝水流数值模型。SPH方法由于是拉格朗日法,在处理对流主导的问题具有很好的稳定性与精度,且是无网格方法,无需划分网格和判定干湿网格,很好地解决了山区河道溃坝水流流速急,水位变幅大,动边界变化频繁,计算区域难确定等问题。采用该模型模拟了山区河道的溃坝水流,初步再现了溃坝水流的流动过程,分析表明模拟结果是合理的,因而采用SPH方法对溃坝水流进行模拟是可行的。

In order to study the dam break flow in mountain river,SPH method was used to solve the dam break flow model based on the two-dimensional shallow water equations.Since the Lagrangian SPH method has good stability and accuracy in dealing with convection dominated problems and is meshfree method,there is no need to divide the grid and to determine the wet-dry grid,therefore it well resolves the issues that mountain river dam break flow velocity is acute,water level range is large,moving boundary changes frequently,and the calculation region is difficult to determine.The model was used to simulate the mountain river dam break flow and preliminarily represents the dam break flow process.The analysis showed that the simulation results are reasonable and the SPH method is feasible to simulate the dam break flow.