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Statistics of nonlinear wave crests and groups

机译：非线性波峰和群的统计

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Groups of large nonlinear waves with sharper higher crests can pose hazards to ships, induce harbor resonance and cause wave-overtopping of fixed and floating structures. Past interest in wave groups has mostly been focused on the statistics and modeling of linear wave groups. Studies on nonlinear wave groups are surprisingly few, and address deep water waves only. Here, statistics of nonlinear wave crests and wave-crest groups in deep and transitional water depths are considered, using an appropriate second-order representation for crest heights and the continuous wave-envelope approach. In particular, theoretical expressions describing the statistics of nonlinear wave crests and their groups are posed in the form of a simple second-order transformation of well-known results on linear waves. Predictions from the transformation so posed compare well with nonlinear wave data gathered in the North Sea, and demonstrate that nonlinearities do affect the statistics of large wave crests and their groups significantly.
机译：高波峰尖锐的大型非线性波群可能对船舶构成危险，引起港口共振，并导致固定和浮动结构的波顶。过去对波组的兴趣主要集中在线性波组的统计和建模上。非线性波群的研究令人惊讶地很少，并且仅针对深水波。在这里，使用适当的波峰高度二阶表示法和连续波包络方法，考虑了深水和过渡水深中的非线性波峰和波峰群的统计量。特别是，描述非线性波峰及其组的统计量的理论表达式以对线性波的已知结果的简单二阶变换形式提出。如此得出的变换预测与在北海收集的非线性波数据很好地比较，证明了非线性确实对大波峰及其群的统计产生了显着影响。

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