穿越海况的极端波浪
Extreme waves in crossing sea states
摘要:
通过采用高阶谱方法求解平底自由面Euler方程的数值模拟,研究了此类系统中横浪状态的演变和流氓波的出现。两类交叉的海状态进行了分析:一个使用方向谱从Draupner波交叉在不同的角度,另一个考虑一个Draupner的光谱交叉与窄带JONSWAP状态风海和涌浪之间的光谱增长模型。这两个类的跨海状态的构造使用的光谱输出的WAVEWATCH III后报的Draupner流氓波事件。我们测量了系综统计矩随时间的变化,发现虽然交叉角在一定程度上影响了统计演化,但没有明显的三阶效应。此外,我们特别注意极端波峰高度下测得的平均海平面,其中的海拔(设置或设置)被证明是相关的频谱内容在相应的频谱的低波数区域。
英文摘要:
The evolution of crossing sea states and the emergence of rogue waves in such systems are studied via numerical simulations performed using a higher order spectral method to solve the free surface Euler equations with a flat bottom. Two classes of crossing sea states are analysed: one using directional spectra from the Draupner wave crossing at different angles, another considering a Draupner-like spectra crossed with a narrowband JONSWAP state to model spectral growth between wind sea and swell. These two classes of crossing sea states are constructed using the spectral output of a WAVEWATCH III hindcast on the Draupner rogue wave event. We measure ensemble statistical moments as functions of time, finding that although the crossing angle influences the statistical evolution to some degree, there are no significant third order effects present. Additionally, we pay particular attention to the mean sea level measured beneath extreme crest heights, the elevation of which (set up or set down) is shown to be related to the spectral content in the low wavenumber region of the corresponding spectrum.
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