涌浪传播中弱波和强波Turbulence的共存
Coexistence of Weak and Strong Wave Turbulence in a Swell Propagation
摘要：
通过两个并行的数值实验--求解动力学Hamilton方程和求解Hasselmann动力学方程--我们研究了弱湍流理论对描述深水自由表面波（涌浪）系综时间演化的适用性。我们观察到结果的定性一致性。为了实现定量的一致性，我们增加了动力学方程的经验耗散项建模的强非线性过程的白帽。拟合两个实验，我们确定了由于波浪破碎的耗散函数，并发现它非常急剧地依赖于非线性参数（表面陡度）。白帽的开始可以与二级相变相比较。这一结果与Banner，Babanin，Young的实验观察相一致。
英文摘要：
By performing two parallel numerical experiments -- solving the dynamical Hamiltonian equations and solving the Hasselmann kinetic equation -- we examined the applicability of the theory of weak turbulence to the description of the time evolution of an ensemble of free surface waves (a swell) on deep water. We observed qualitative coincidence of the results. To achieve quantitative coincidence, we augmented the kinetic equation by an empirical dissipation term modelling the strongly nonlinear process of white-capping. Fitting the two experiments, we determined the dissipation function due to wave breaking and found that it depends very sharply on the parameter of nonlinearity (the surface steepness). The onset of white-capping can be compared to a second-order phase transition. This result corroborates with experimental observations by Banner, Babanin, Young.
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