Modeling Crossing Random Seas by Fully Non-Linear Numerical Simulations

Modeling Crossing Random Seas by Fully Non-Linear Numerical Simulations
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通过完全非线性数值模拟穿越随机海洋的模型

DOI:
10.3389/fphy.2021.593394
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发表时间:
2021-04
影响因子:
3.1
通讯作者:
Bingchen Liang
Bingchen Liang
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Jinghua Wang;Qingwei Ma;Shiqiang Yan;Bingchen Liang

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在海洋活动中,双峰谱波浪条件(称为跨海)会产生对人类不利的极端波浪。本研究报告了一些新的发现,极端波的概率在深穿越随机海响应的频谱带宽的变化,通过完全非线性数值模拟。讨论了两个问题,即(i)谱带宽对极端波浪统计变化的影响,即,峰度和波峰偏移概率,以及(ii)理论分布模型是否适合精确描述穿越海域的波峰偏移概率。数值模拟结果表明,在大时空尺度上,不同谱宽下,各波列的谱宽越窄,其峰态和峰高突变概率越大,说明窄带横浪遇到极端波浪的概率越大。同时,提出了一个新的经验公式来预测峰度在穿越海洋的带宽是预先已知的。此外,瑞利分布和二阶泰丰分布低估了波峰高度波动概率,而三阶泰丰分布仅对本研究中考虑的波浪条件具有相对较宽带宽的情况产生令人满意的预测。对于带宽较窄的横浪,所有的理论分布模型都不能准确描述极端波浪的峰高突变概率。
Bimodal spectrum wave conditions, known as crossing seas, can produce extreme waves which are hostile to humans during oceanic activities. This study reports some new findings of the probability of extreme waves in deep crossing random seas in response to the variation of spectral bandwidth through fully non-linear numerical simulations. Two issues are addressed, namely (i) the impacts of the spectral bandwidth on the changes of extreme wave statistics, i.e., the kurtosis and crest exceedance probability, and (ii) the suitability of theoretical distribution models for accurately describing the wave crest height exceedance probability in crossing seas. The numerical results obtained by simulating a large number of crossing sea conditions on large spatial-temporal scale with a variety of spectral bandwidth indicate that the kurtosis and crest height exceedance probability will be enhanced when the bandwidth of each wave train becomes narrower, suggesting a higher probability of encountering extreme waves in narrowband crossing seas. Meanwhile, a novel empirical formula is suggested to predict the kurtosis in crossing seas provided the bandwidth is known in advance. In addition, the Rayleigh and second-order Tayfun distribution underestimate the crest height exceedance probability, while the third-order Tayfun distribution only yields satisfactory predictions for cases with relatively broader bandwidth regarding the wave conditions considered in this study. For crossing seas with narrower bandwidth, all the theoretical distribution models failed to accurately describe the crest height exceedance probability of extreme waves.
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