随机流存在下的线性和非线性游荡波统计
Linear and Nonlinear Rogue Wave Statistics in the Presence of Random Currents
摘要：
我们回顾了最近的进展，在模拟的概率分布波高在深海作为一个功能的少数参数描述当地的海况。考虑了流氓波形成的线性和非线性机制。首先，我们表明，当平均波陡是小的和非线性波的影响是subleading，波高分布是很好地解释了一个单一的“怪胎指数”参数，它描述了（线性）波散射的强度由随机电流相对于入射随机海的角展。当平均陡度较大时，波高分布采用非常相似的函数形式，但决定概率分布的关键变量是陡度以及入射波的角度和频率扩展。最后，当线性和非线性效应共同作用时，预测极端波浪形成的概率更大。
英文摘要：
We review recent progress in modeling the probability distribution of wave heights in the deep ocean as a function of a small number of parameters describing the local sea state. Both linear and nonlinear mechanisms of rogue wave formation are considered. First, we show that when the average wave steepness is small and nonlinear wave effects are subleading, the wave height distribution is well explained by a single "freak index" parameter, which describes the strength of (linear) wave scattering by random currents relative to the angular spread of the incoming random sea. When the average steepness is large, the wave height distribution takes a very similar functional form, but the key variables determining the probability distribution are the steepness, and the angular and frequency spread of the incoming waves. Finally, even greater probability of extreme wave formation is predicted when linear and nonlinear effects are acting together.
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