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Numerical Simulation of Dam-Break Problem Using Staggered Finite Volume Method

机译:利用交错有限体积法的坝面问题的数值模拟

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A problem in a dam-break is when a wall separating two sides of water is removed. A shock wave occurs and propagates. The behavior of the wave is interesting to be investigated with respect to the water depth and its wave speed. The aim of this research is to model dam-break problem using the non-linear shallow water equations and solve them numerically using staggered finite volume method. The solution is used to simulate the dam-break on a wet bed. Our numerical solution will be compared to the analytical solution of shallow water equations for dam-break problem. The momentum non-conservative finite volume scheme on a staggered grid will give a good agreement for dam-break problem on a wet bed, for depth ratios greater than 0.25.
机译:坝断裂中的一个问题是分离两侧水的壁被移除。冲击波发生并传播。波浪的行为是有趣的,需要相对于水深及其波速来研究。该研究的目的是使用非线性浅水方程模拟坝断裂问题,并使用交错的有限体积法在数值上进行数字解决。该解决方案用于模拟湿床上的坝断裂。我们的数值解决方案将与浅水方程的分析解决方案进行比较。交错网格上的动量不保守的有限体积方案将对湿床上的坝断裂问题提供良好的一致性,深度比率大于0.25。

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