• Corpus ID: 239009814

On the Properties of Energy Flux in Wave Turbulence

@inproceedings{Hrabski2021OnTP,
  title={On the Properties of Energy Flux in Wave Turbulence},
  author={Alexander Hrabski and Yulin Pan},
  year={2021}
}
Ω PΩ , with each component PΩ representing the contribution from quartet interactions with frequency mismatch Ω, in order to explain the properties of P as well as study the wave-turbulence closure model. Our results show that time series of P closely follows a Gaussian distribution, with its standard deviation several times its mean value P . This large standard deviation is shown to mainly result from the fluctuation (in time) of the quasi-resonances, i.e., PΩ 6=0. The scaling of spectral… 

Figures from this paper

Numerical investigation of turbulence of surface gravity waves
  • Zhou Zhang, Yulin Pan
  • Physics
    Journal of Fluid Mechanics
  • 2022
Abstract In this paper, we numerically study the wave turbulence of surface gravity waves in the framework of Euler equations of the free surface. The purpose is to understand the variation of the

References

SHOWING 1-10 OF 40 REFERENCES
A one-dimensional model for dispersive wave turbulence
SummaryA family of one-dimensional nonlinear dispersive wave equations is introduced as a model for assessing the validity of weak turbulence theory for random waves in an unambiguous and transparent
Wave turbulence theory of elastic plates
Abstract This article presents the complete study of the long-time evolution of random waves of a vibrating thin elastic plate in the limit of small plate deformation so that modes of oscillations
Weak versus strong wave turbulence in the Majda-McLaughlin-Tabak model
Within the spirit of fluid turbulence, we consider the one-dimensional Majda-McLaughlin-Tabak (MMT) model that describes the interactions of nonlinear dispersive waves. We perform a detailed
Direct numerical investigation of turbulence of capillary waves.
TLDR
For a given number of numerical modes N, as nonlinearity decreases, the long-time spectra deviate from theoretical predictions with respect to scaling with P, with calculated values of αC0, all due to finite box effect.
Role of dissipation in flexural wave turbulence: from experimental spectrum to Kolmogorov-Zakharov spectrum.
TLDR
It is shown that dissipation has a major influence on the scaling properties of stationary solutions of weakly nonlinear wave turbulence and a gradual transition between the experimental spectrum and the Kolmogorov-Zakharov prediction.
Understanding discrete capillary-wave turbulence using a quasi-resonant kinetic equation
Experimental and numerical studies have shown that, with sufficient nonlinearity, the theoretical capillary-wave power-law spectrum derived from the kinetic equation (KE) of weak turbulence theory
Confinement effects on gravity-capillary wave turbulence
The statistical properties of a large number of weakly nonlinear waves can be described in the framework of the Weak Turbulence Theory. The theory is based on the hypothesis of an asymptotically
Spectral bifurcations in dispersive wave turbulence.
TLDR
Numerical experiments that study details of the composition, coexistence, and transition between spectra are discussed, including: for deterministic forcing, sharp distinctions between focusing and defocusing nonlinearities.
Numerical investigation of turbulence of surface gravity waves
  • Zhou Zhang, Yulin Pan
  • Physics
    Journal of Fluid Mechanics
  • 2022
Abstract In this paper, we numerically study the wave turbulence of surface gravity waves in the framework of Euler equations of the free surface. The purpose is to understand the variation of the
Decaying capillary wave turbulence under broad-scale dissipation
We study the freely decaying weak turbulence of capillary waves by direct numerical solution of the primitive Euler equations. By introducing a small amount of wave dissipation, measured by the
...
1
2
3
4
...