不同深度盆地单向波时空数值模拟中的流氓事件
Rogue events in spatio-temporal numerical simulations of unidirectional waves in basins of different depth
摘要：
本文通过求解欧拉方程，数值计算了单向非线性海面表面波的演化。波动动力学对应于准平衡态，其特征在于JONSWAP谱。收集和处理时空数据，提供关于异常高波（异常波）的波高概率和典型外观的信息。在从深到相对浅的不同水深情况下（$k_p h > 0.8$，其中$k_p$是峰值波数，$h$是局部深度）考虑波浪。前和后流氓波斜率之间的不对称性被确定;它变得明显，在所有考虑的深度足够高的波在粗糙的海况。根据水深的不同，异常事件的寿命可能达到30-60个波周期。观测到的最大波高约为3个有效波高。从波罗的海随机选择的几个现场时间序列与数值模拟的总体情况一致。
英文摘要：
The evolution of unidirectional nonlinear sea surface waves is calculated numerically by means of solutions of the Euler equations. The wave dynamics corresponds to quasi-equilibrium states characterized by JONSWAP spectra. The spatio-temporal data are collected and processed providing information about the wave height probability and typical appearance of abnormally high waves (rogue waves). The waves are considered at different water depths ranging from deep to relatively shallow cases ($k_p h > 0.8$, where $k_p$ is the peak wavenumber, and $h$ is the local depth). The asymmetry between front and rear rogue wave slopes is identified; it becomes apparent for sufficiently high waves in rough sea states at all considered depths. The lifetimes of rogue events may reach up to 30-60 wave periods depending on the water depth. The maximum observed wave has height of about 3 significant wave heights. A few randomly chosen in-situ time series from the Baltic Sea are in agreement with the general picture of the numerical simulations.
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