AbstractThe standard shallow water equations (SWEs) model is often considered to provide weak solutions to the dam-break flows due to its depth-averaged shock-capturing scheme assumptions. In this study, an improved SWEs model using a recently proposed Surface Gradient Upwind Method (SGUM) is used to compute dam-break flows in the presence of a triangular hump. The SGUM allows the SWEs model to stably and accurately reproduce the highly complex shock currents caused by the dam-break event, as it improves the treatment of SWEs numerical source terms, which is particularly crucial for simulating the wet/dry front interface of the dam-break flow. Besides, an Incompressible Smoothed Particle Hydrodynamics (ISPH) modeling technique is also employed in this study to compare with the performance of the SGUM-SWEs model. The SPH method is totally mesh free and thus it can efficiently track the large free surface deformation. The ISPH approach uses a strictly incompressible two-step semi-implicit solution method. B...
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机译:摘要由于其平均水深捕获方案的假设,通常认为标准浅水方程(SWEs)模型为溃坝流提供了较弱的解决方案。在这项研究中,使用最近提出的表面梯度逆风方法(SGUM)的改进的SWEs模型用于在存在三角驼峰的情况下计算溃坝流量。 SGUM使SWE模型能够稳定,准确地再现由溃坝事件引起的高度复杂的冲击电流,因为它改善了对SWE数值源项的处理,这对于模拟大坝的湿/干前界面尤其重要中断流。此外,本研究还采用了不可压缩的光滑粒子流体动力学(ISPH)建模技术,以与SGUM-SWEs模型的性能进行比较。 SPH方法是完全无网格的,因此可以有效地跟踪较大的自由表面变形。 ISPH方法使用严格不可压缩的两步半隐式求解方法。 B ...
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