论文标题
机械产生的表面重力波的傅立叶振幅分布和间歇性
Fourier Amplitude Distribution and Intermittency in Mechanically Generated Surface Gravity Waves
论文作者
论文摘要
我们检查并讨论并讨论机械产生的表面重力波场的统计特性的空间演化，该特性以单向光谱能量分布，均匀分布的相位和瑞利分布幅度初始化。我们证明，非线性相互作用会产生一个具有方向扩展的高频模式的能量级联，并触发局部间歇性爆发。通过分析波能谱的高频范围内的傅立叶模式幅度的概率密度函数，我们表明，由于这些间歇性爆发的距离，与波发生器的距离出现了，即使在相对较弱的非线性条件下，由于这些间歇性爆发的距离也与最初强加的Rayleigh分布不同。
We examine and discuss the spatial evolution of the statistical properties of mechanically generated surface gravity wave fields, initialised with unidirectional spectral energy distributions, uniformly distributed phases and Rayleigh distributed amplitudes. We demonstrate that nonlinear interactions produce an energy cascade towards high frequency modes with a directional spread and triggers localised intermittent bursts. By analysing the probability density function of Fourier mode amplitudes in the high frequency range of the wave energy spectrum, we show that a heavy-tailed distribution emerges with distance from the wave generator as a result of these intermittent bursts, departing from the originally imposed Rayleigh distribution, even under relatively weak nonlinear conditions.
