The combined effect of wave–current interaction and mud-induced damping on nonlinear wave evolution

The combined effect of wave–current interaction and mud-induced damping on nonlinear wave evolution
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波流相互作用和泥浆阻尼对非线性波浪演化的综合影响

DOI:
10.1016/j.ocemod.2011.10.004
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发表时间:
2012
期刊:
影响因子:
3.2
通讯作者:
N. Tahvildari
N. Tahvildari
中科院分区:
地球科学3区
文献类型:
--
作者:
J. Kaihatu;N. Tahvildari

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讨论了同时考虑波流相互作用和粘性泥浆耗能的相分辨非线性频域模型的发展。将该模型与由实验数据推导出的耗散率进行了比较,得到了满意的结果。然后,该模型在有限的泥浆带上运行,其中既有对流又有顺流。与前人的工作一致,确定了泥沙对波高的消散会因逆流而加剧,随流而减小,这与前人的工作一致。结果表明,泥浆引起的减振对椭圆曲线波形有影响;在显著减振作用下,产生的波形类似于正弦波,但随着各次谐波之间的锁相被打破,波形会有一些短尺度的变化。此外,未补偿的亚谐相互作用的影响也很明显,这是泥浆上高频衰减的一个原因。最后,随机波谱被用来初始化模型,并允许在有和没有同向流的平底上演化。与以前一样,随机波的消散被相反的流增强,而被跟随的流减小。在非耗散环境中的波流相互作用中所看到的光谱展宽程度也可以在泥浆诱导的耗散中看到。被底部泥浆强烈抑制的高频谱频率在有限泥块的背风处恢复了一些能量(以低频为代价)。这种恢复是显而易见的,即使在频谱的大部分频率范围内都有很大的衰减。
The development of a phase-resolving nonlinear frequency-domain model with both wave–current interaction and viscous mud-induced energy dissipation is discussed. The model is compared to dissipation rates deduced from experimental data, with favorable results. The model is then run with cnoidal waves over a finite mud patch with both opposing and following currents. It is determined that wave height dissipation by mud is exacerbated by opposing currents and reduced by following currents, in agreement with previous work. It is shown that mud-induced damping affects the cnoidal wave shape; under significant damping, the resulting waveform resembles a sine wave, with some short-scale variability as phase-locking between the harmonics breaks down. In addition, the effect of uncompensated subharmonic interactions, a cause of high frequency damping over mud, is also evident with wave–current interaction. Finally, random wave spectra are used to initialize the model and allowed to evolve over a flat bottom with a mud patch, with and without co-flowing currents. As before, the dissipation of the random waves is enhanced by opposing currents and reduced by following currents. The degree of spectral broadening seen in wave–current interaction in non-dissipative environments is also seen here with mud-induced dissipation. High spectral frequencies strongly damped by bottom mud recover some energy (at the expense of low frequencies) in the lee of the finite mud patch. This recovery is evident even with substantial damping across the majority of the frequency range of the spectrum.