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An improved SPH approach for simulating 3D dam-break flows with breaking waves

机译：改进的SPH方法，用于模拟带有破碎波的3D溃坝流

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In this article, we develop an improved smoothed particle hydrodynamics (SPH) approach for simulating 3D dam-break flows with breaking waves. In order to improve the computational accuracy and pressure distributions, the correction of kernel gradient and the introduction of Rusanov flux into the continuity equation are particularly implemented. Also, both wall and dummy particles are employed for modeling the complex solid boundaries in a flexible way. To show the ability of the improved SPH approach for solving 3D free surface flow problems, three challenging numerical examples including 3D dam-break flow against a vertical wall, against a cuboid obstacle, and against a cylindrical obstacle are numerically simulated and compared with available experimental data in literature. The convergent behavior of the numerical algorithm has also been studied by using different particle resolutions. It is demonstrated that the improved SPH approach is capable of handling with 3D free surface flows with large deformations and fragmentations accurately and stably, and even more important, also computing an accurate and fluctuations-free pressure field. (C) 2016 Elsevier B.V. All rights reserved.
机译：在本文中，我们开发了一种改进的平滑粒子流体动力学（SPH）方法，用于模拟带有破碎波的3D溃坝流。为了提高计算精度和压力分布，特别实现了核梯度的校正以及将Rusanov通量引入连续性方程中。同样，壁面粒子和虚拟粒子都可用于以灵活的方式对复杂的固体边界进行建模。为了显示改进的SPH方法解决3D自由表面流问题的能力，对3个具有挑战性的数值示例进行了数值模拟，其中包括3D溃坝流向垂直墙，长方体障碍物和圆柱形障碍物的过程，并与可用的实验进行了比较。资料中的数据。还通过使用不同的粒子分辨率研究了数值算法的收敛行为。结果表明，改进的SPH方法能够准确，稳定地处理具有较大变形和碎片的3D自由表面流，甚至更重要的是，还可以计算出精确且无波动的压力场。 （C）2016 Elsevier B.V.保留所有权利。

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