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Simulation of unidirectional propagating wave trains in deep water using a fully non-hydrostatic model

机译:用完全非静水压模型模拟深水中深水中的单向传播波动训练

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摘要

A new fully non-hydrostatic model is developed and then applied to simulate the evolution of unidirectional propagating waves in intermediate and deep water. The ability and efficiency of the model are examined using experimental data. Then, the evolutions of initially uniform and perturbed wave trains are simulated. Frequency downshift phenomena occur during the wave evolution. For a small initial steepness, there are approximately two incidents of partial recurrence. However, with increasing initial wave steepness, the energy transfers from the lower sideband to the carried wave decreases, and a permanent frequency downshift is more likely to occur. For the initially imposed wave trains, if the wave steepness is lower than 0.11, an approximate Fermi-Pasta-Ulam (FPU) phenomenon occurs. For wave trains with a steepness of approximately 0.13, a partial recurrence still can appear. Recurrence is not observed in larger wave trains. Additionally, the kinematics of extreme waves formed during the wave evolution are also investigated, and the non-dimensional horizontal velocity profiles under the extreme crests are converged and can be well modelled by the theoretically exponential curve. In addition, the crest speeds of the steep waves are less than the linear wave speeds. It is found that larger waves have slower crest speeds.
机译:开发了一种新的完全非静水压模型,然后应用于模拟中间和深水中单向传播波的演变。使用实验数据检查模型的能力和效率。然后,模拟最初均匀和扰动波列的演变。波浪进化期间发生频率降档现象。对于小的初始陡度,大约有两种部分复发事件。然而,随着初始波陡度的增加,从下边带转移到携带波的能量减小,并且更容易发生永久频率降档。对于初始施加的波动列车,如果波陡度低于0.11,则发生大约的费米 - 面乌拉姆(FPU)现象。对于陡度约为0.13的波动训练,仍然可以出现部分复发。在较大的波动列车中未观察到复发。另外,还研究了在波进化期间形成的极端波的运动学,并且极端波峰下的非尺寸水平速度分布被收敛,并且可以通过理论上指数曲线建模很好地建模。另外,陡峭波的峰值速度小于线性波速度。发现较大的波浪具有较慢的峰值速度。

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