论文标题

在非均匀测深的过程中,由随机波产生的呼吸器和流氓波的实验研究

Experimental study of breathers and rogue waves generated by random waves over non-uniform bathymetry

论文作者

Wang, A., Ludu, A., Zong, Z., Zou, L., Pei, Y.

论文摘要

实验结果描述了随机,单向,长长的,在不均匀的测深的测定法上的水波证实,形成了稳定的相干波套件,几乎均匀的基团速度传播。这些波是用JONSWAP频谱生成的,用于各种陡度,高度和恒定周期。将一组统计程序应用于实验数据,包括峰度,偏度,BFI,傅立叶,傅立叶和移动傅立叶光谱的空间和时间变化,以及波高的概率分布。将稳定的波浪包与随机场形成,并在浅滩,山谷和斜坡上行驶,并将其与NLS方程的精确溶液进行比较,从而产生了良好的匹配,并证明这些包装与深水呼吸器溶液非常相似,这些解决方案在非均匀的呼吸器溶液中幸存下来。我们还提出了在BFI,峰度和偏度系数具有最大值的区域上形成流氓波的事件。

Experimental results describing random, uni-directional, long crested, water waves over non-uniform bathymetry confirm the formation of stable coherent wave packages traveling with almost uniform group velocity. The waves are generated with JONSWAP spectrum for various steepness, height and constant period. A set of statistical procedures were applied to the experimental data, including the space and time variation of kurtosis, skewness, BFI, Fourier and moving Fourier spectra, and probability distribution of wave heights. Stable wave packages formed out of the random field and traveling over shoals, valleys and slopes were compared with exact solutions of the NLS equation resulting in good matches and demonstrating that these packages are very similar to deep water breathers solutions, surviving over the non-uniform bathymetry. We also present events of formation of rogue waves over those regions where the BFI, kurtosis and skewness coefficients have maximal values.

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