The effects of smoothing length on the onset of wave breaking in smoothed particle hydrodynamics (SPH) simulations of highly directionally spread waves
The effects of smoothing length on the onset of wave breaking in smoothed particle hydrodynamics (SPH) simulations of highly directionally spread waves
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DOI：
10.1007/s40571-022-00463-z
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发表时间：
2022-02
影响因子：
3.3
通讯作者：
Taiga Kanehira;M. L. McAllister;S. Draycott;T. Nakashima;D. Ingram;T. S. van den Bremer;Hidemi Mutsuda
中科院分区：
文献类型：
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作者：
Taiga Kanehira;M. L. McAllister;S. Draycott;T. Nakashima;D. Ingram;T. S. van den Bremer;Hidemi Mutsuda
海洋波浪破碎是一种难以建模的海洋学过程，它对极端波浪统计、波浪能量耗散和海气相互作用具有影响。能够可靠地模拟现实世界中定向传播的破碎波的数值方法对于研究波浪破碎的物理原理以及海上结构和浮体的设计非常有用。平滑粒子流体动力学能够对高度陡峭和翻转的自由表面进行建模，这使其成为模拟碎波的有前景的方法。本文研究了平滑长度对顺海和穿越海中模拟波浪破碎的影响。为此，我们以数值方式重现了 McAllister 等人的高度定向传播的碎波实验。 (J Fluid Mech 860:767–786, 2019. https://doi.org/10.1017/jfm.2018.886) 使用一系列归一化平滑长度：1.7、2.0、2.3，具有平滑长度和粒子间距。我们使用的最小平滑长度似乎会对模拟表面高程的保真度产生不利影响，因此实验中观察到的最高波峰无法完全再现（确定系数）。对于平滑长度 2.0 和 2.3，实验得到了很好的再现 ()；在这些模拟中，平滑长度主要影响断裂的空间范围和持续时间。我们的模拟的定性和定量比较表明，该范围内的值最好地再现了实验中观察到的波浪破碎现象。
Ocean wave breaking is a difficult-to-model oceanographic process, which has implications for extreme wave statistics, the dissipation of wave energy, and air–sea interaction. Numerical methods capable of reliably simulating real-world directionally spread breaking waves are useful for investigating the physics of wave breaking and for the design of offshore structures and floating bodies. Smoothed particle hydrodynamics is capable of modelling highly steep and overturning free surfaces, which makes it a promising method for simulating breaking waves. This paper investigates the effect of smoothing length on simulated wave breaking in both following and crossing seas. To do so, we reproduce numerically the experiments of highly directionally spread breaking waves in McAllister et al. (J Fluid Mech 860:767–786, 2019. https://doi.org/10.1017/jfm.2018.886) using a range of normalised smoothing lengths:, 1.7, 2.0, 2.3, withhsmoothing length andparticle spacing. The smallest smoothing length we use appears to adversely affect the fidelity of the simulated surface elevation, so that the tallest wave crest observed in experiments is not fully reproduced (coefficient of determination). For smoothing lengths, 2.0, and 2.3, the experiments are well reproduced (); in these simulations smoothing length predominantly affects the spatial extent and duration of breaking. Qualitative and quantitative comparison of our simulations shows that values ofin the rangebest reproduce the wave breaking phenomena observed in experiments.