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Steep and Breaking Faraday Waves

机译:陡峭的法拉第波浪

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This paper examines the dynamics of steep to breaking standing waves on deep water generated by Faraday resonance. Physical experiments are compared with simulations by a two-dimensional spectral Cauchy-integral code. At larger forcing amplitude, we have observed experimentally a steep waveform with a double-peaked crest, while simulation of the same forcing condition results in a sharper crest (Jiang et al., 1996). Increasing wave steepness leads first to a double-plunging breaker at the dimpled crest, then to more violent breaking in three recurrent modes (period tripling): sharp crest with breaking (A) -> dimple or flat crest with breaking (B) -> round crest without breaking (C). Nonlinear interaction between the fundamental mode and second temporal harmonic determines both the steep and breaking waveforms. Geometric features of the breaking wave are discussed, especially the extremely-large wave amplitude and sharp crest angle in mode A. Based on the periodicity of the flow, energy dissipation is directly estimated by integrating the support force as a function of the tank displacement. It is found that the breaking event increases the total dissipation in the system by about 100percent. Large dissipation occurs during modes A and B due to spray, air entrainment and plunging.
机译:本文研究了法拉第共振在深水中产生的陡峭至破碎的驻波动力学。通过二维频谱柯西积分码将物理实验与模拟进行比较。在较大的强迫振幅下,我们实验观察到了一个陡峭的波形,具有一个双峰的波峰,而对相同强迫条件的模拟则导致了一个尖锐的波峰(Jiang等,1996)。波浪陡度的增加首先导致凹陷波峰处的双头破碎器破裂,然后导致在三种循环模式下更剧烈地断裂(周期三重):断裂时尖锐的波峰(A)->酒窝或断裂时平坦的波峰(B)->圆顶不断裂(C)。基本模式与二次谐波之间的非线性相互作用决定了陡峭波形和断裂波形。讨论了破碎波的几何特征,尤其是模式A中的极大振幅和尖锐的波峰角。基于流动的周期性,通过将支撑力与油箱位移的函数进行积分,可以直接估算能量耗散。发现中断事件使系统中的总耗散增加了约100%。在模式A和模式B中,由于喷雾,夹带空气和骤降而产生大量耗散。

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