The impact of removing the high-frequency spectral tail on rogue wave statistics

The impact of removing the high-frequency spectral tail on rogue wave statistics
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DOI:
10.1017/jfm.2022.961
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发表时间:
2022-12
影响因子:
3.7
通讯作者:
T. Tang;D. Barratt;H. Bingham;T. S. van den Bremer;T. Adcock
T. Tang;D. Barratt;H. Bingham;T. S. van den Bremer;T. Adcock
中科院分区:
工程技术2区
文献类型:
--
作者:
T. Tang;D. Barratt;H. Bingham;T. S. van den Bremer;T. Adcock

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摘要当在波浪水槽中产生定向表面重力波或初始化海洋数值模拟时,通常会抑制较高的频率和波数,从而缩短波谱。我们通过数值模拟Onorato等人的两个开创性实验(J. Fluid Mech.,第627卷,2009年,pp. 235-257,R2)和Latheef & Swan(Proc. R. Soc. A,第469卷,第2152期,2013年,第20120696页)。我们使用完全非线性势流模型模拟波浪。我们发现,削减频谱可能会对随后的演变产生重大影响。特别是,对于频谱被缩减的情况,非线性物理产生的极端波或流氓波比在初始条件中包括全频谱尾部的情况下观察到的要多得多,并且这种差异在波初始化后持续数十个周期。这表明,“失去平衡”的海况(即,去除了它们的尾巴)可以产生更多的流氓波。我们表明,这也可能对海上基础设施的预测负荷产生影响。
Abstract When making directional surface gravity waves in a wave tank or when initialising numerical simulations of the ocean, the wave spectrum is often curtailed suppressing higher frequencies and wavenumbers. We consider the impact of doing this by numerically simulating two seminal experiments, those of Onorato et al. (J. Fluid Mech., vol. 627, 2009, pp. 235–257, R2) and Latheef & Swan (Proc. R. Soc. A, vol. 469, no. 2152, 2013, p. 20120696). We simulate waves using a fully nonlinear potential-flow model. We find that curtailing the spectrum can have a significant impact on the subsequent evolution. In particular, for cases where the spectrum has been curtailed, the nonlinear physics produces significantly more extreme or rogue waves than are observed in the case where the full spectral tail was included in the initial conditions, and this difference persists over tens of periods after the waves are initialised. This suggests that sea states that are ‘out of equilibrium’ (i.e. with their tails removed) can produce a greater number of rogue waves. We show this can also have an impact on predicted loads on offshore infrastructure.