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Ocean swell within the kinetic equation for water waves

机译：海洋膨胀在水波的动力学方程内

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摘要

Results of extensive simulations of swell evolution within the duration-limited setup for the kinetic Hasselmann equation for long durations of up to 2 x 10(6) s are presented. Basic solutions of the theory of weak turbulence, the so-called Kolmogorov-Zakharov solutions, are shown to be relevant to the results of the simulations. Features of self-similarity of wave spectra are detailed and their impact on methods of ocean swell monitoring is discussed. Essential drop in wave energy (wave height) due to wave-wave interactions is found at the initial stages of swell evolution (on the order of 1000 km for typical parameters of the ocean swell). At longer times, wave-wave interactions are responsible for a universal angular distribution of wave spectra in a wide range of initial conditions. Weak power-law attenuation of swell within the Hasselmann equation is not consistent with results of ocean swell tracking from satellite altimetry and SAR (synthetic aperture radar) data. At the same time, the relatively fast weakening of wave-wave interactions makes the swell evolution sensitive to other effects. In particular, as shown, coupling with locally generated wind waves can force the swell to grow in relatively light winds.
机译：呈现了长达2×10（6）秒的长持续时间的动力学哈塞尔曼方程中潮荷兰汉方程的潮血管扫描中的膨胀型进化的结果。弱湍流理论的基本解决方案，所谓的Kolmogorov-Zakharov解决方案显示与模拟结果相关。详细说明了波谱的自相似性的特征，并讨论了对海洋膨胀监测方法的影响。由于波浪相互作用导致的波能量（波浪高）的基本下降在膨胀演化的初始阶段（大约1000公里，对于海洋膨胀的典型参数）。在更长的时间内，波浪相互作用负责在广泛的初始条件下的波谱的通用角度分布。在哈塞尔曼方程内膨胀的弱幂率衰减与卫星高度和SAR（合成孔径雷达）数据的海洋膨胀跟踪的结果不一致。同时，波浪相互作用的相对较快的弱化使得膨胀的演化对其他效应敏感。特别地，如图所示，与局部产生的风波的耦合可以迫使膨胀在相对明显的风中生长。

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