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Experimental study on the evolution of the peregrine-type surface gravity waves in finite water depth

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Indexed by:会议论文

Date of Publication:2017-06-25

Journal:27th International Ocean and Polar Engineering Conference, ISOPE 2017

Included Journals:EI、Scopus

Page Number:381-385

Abstract:The Peregrine breather (PB) is a rational solution of the nonlinear Schr?dinger equation (NLS). PB is localized in both space and time, culminates in the amplification that is three times the initial wave amplitude. Therefore, it is often considered to be an appropriate prototype of rouge waves in ocean. However, until now, there are some researches on the evolution of PB of ocean gravity waves, but experimental observation of the PB in a wave flume is still lacking, especially investigations on the influence of water depth on the evolution of PB. In the present study, detailed measurements for propagation of PB with different initial steepness were conducted in a wave flume. Higher harmonics significantly contribute the surface elevations at the place where the PB solution reaches the maximum amplitude. But the contribution of higher harmonics on surface elevations reduces with increasing water depth. The experimental results are in a very good agreement with the PB up to the short distance from the wave maker, at further distances, differences between the theory and the experiment start to appear. The third order solution of the NLS agrees well with experiments. The maximum envelope amplification in the experiments is slightly below that predicted by the PB; the discrepancy reduces with increasing water depth. Copyright ? 2017 by the International Society of Offshore and Polar Engineers (ISOPE).

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