Detailed study on the extension of the δ-SPH model to multi-phase flow
Detailed study on the extension of the δ-SPH model to multi-phase flow
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DOI：
10.1016/j.cma.2020.113189
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发表时间：
2020-08
影响因子：
7.2
通讯作者：
I. Hammani;S. Marrone;A. Colagrossi;G. Oger;D. L. Touzé
中科院分区：
文献类型：
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作者：
I. Hammani;S. Marrone;A. Colagrossi;G. Oger;D. L. Touzé
在目前的工作中，多相SPH模型在Grenier等人。（2009）被认为是通过在连续性方程中的扩散项的包含和扩展。后者是基于Antuono等人的δ-SPH模型。（2012），允许改进压力场的评估，去除数值噪声并且还改进颗粒空间分布。的时间步进和选择的不同阶段的声音的速度进行了讨论，表明这种选择不仅是由物理上的考虑，但也与该计划的稳定性的数值约束。为了这个目的，提供了一个Riemann-SPH多相模型的比较。特别是，我们表明，建议的δ-SPH多相求解器具有不同的稳定区域比其Riemann-SPH对应，允许更大的时间步长为某些密度和声速比，而在其他条件下，Riemann-SPH多相模型是更方便的。在SPH文献中广泛使用的不同基准上进行了一系列验证测试。作为最后一个测试案例，波纹板的水进入，包括一个空气腔的截留被认为是显示所提出的多相δ-SPH方法是如何能够准确地处理复杂的水冲击事件。
In the present work the multi-phase SPH model presented in Grenier et al.(2009) is considered and extended through the inclusion of a diffusive term in the continuity equation. The latter based on the δ-SPH model of Antuono et al.(2012), allows to improve the evaluation of the pressure field, removing numerical noise and improving also the particles spatial distribution. The time stepping and the choice of the speeds of sound for the different phases are discussed, showing that this choice is driven not only by physical consideration but also by numerical constraints linked to the stability of the scheme. To this aim, comparisons are provided to a Riemann–SPH multi-phase model. In particular we show that the proposed δ-SPH multi-phase solver has a different stability region than its Riemann–SPH counterpart, allowing for bigger time steps for some density and speed of sound ratios, while in other conditions the Riemann–SPH multi-phase model is more convenient. A series of validating tests are carried out over different benchmarks widely used in the SPH literature. As a final test-case the water entry of a corrugated panel involving the entrapment of an air cavity is considered to show how the proposed multi-phase δ-SPH method is able to accurately treat complex water impact events.