Fourier Amplitude Distribution and Intermittency in Mechanically Generated Surface Gravity Waves
arXiv:2003.08666 · doi:10.1103/PhysRevE.102.013106
Abstract
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.
References in corpus (15)
- Freak Waves in Random Oceanic Sea States
- Gravity surface wave turbulence in a laboratory flume
- Freely decaying weak turbulence for sea surface gravity waves
- Observation of intermittency in wave turbulence
- Wind generated rogue waves in an annular wave flume
- Hydrodynamic Supercontinuum
- Dimensional Analysis and Weak Turbulence
- Statistics of surface gravity wave turbulence in the space and time domains
- Spontaneous emergence of rogue waves in partially coherent waves: a quantitative experimental comparison between hydrodynamics and optics
- Energy flux measurement from the dissipated energy in capillary wave turbulence
- Role of the basin boundary conditions in gravity wave turbulence
- Numerical Verification of the Weak Turbulent Model for Swell Evolution
- On the origin of intermittency in wave turbulence
- Observation of turbulence in wave-induced oscillatory flows
- Wave turbulence and intermittency in directional sea states