On the Origins of the Oceanic Ultraviolet Catastrophe

@article{Dematteis2021OnTO,
  title={On the Origins of the Oceanic Ultraviolet Catastrophe},
  author={Giovanni Dematteis and Kurt L. Polzin and Yuri V. Lvov},
  journal={Journal of Physical Oceanography},
  year={2021}
}
We provide a first-principles analysis of the energy fluxes in the oceanic internal wavefield. The resulting formula is remarkably similar to the renowned phenomenological formula for the turbulent dissipation rate in the ocean which is known as the Finescale Parameterization. The prediction is based on the wave turbulence theory of internal gravity waves and on a new methodology devised for the computation of the associated energy fluxes. In the standard spectral representation of the wave… 

Figures from this paper

The Structure of Energy Fluxes in Wave Turbulence
We calculate the net instantaneous power exchanged between two sets of modes in a generic system governed by a three-wave kinetic equation. In a first application to isotropic systems, we rederive the
Scale Separated Approaches to the Interaction of Oceanic Internal Waves, part II: A one-dimensional numerical model
We present an idealized representation of high frequency oceanic internal waves propagating in a background field of inertial waves. This report follows a companion paper in which we present
Scale Separated Approaches to the Interaction of Oceanic Internal Waves, part I: Theory
We report two parallel derivations for transport equations describing the refraction of high frequency internal waves in a sea of random inertial waves. One derivation casts the fields as amplitude

References

SHOWING 1-10 OF 51 REFERENCES
Downscale energy fluxes in scale-invariant oceanic internal wave turbulence
Abstract We analyse analytically and numerically the scale-invariant stationary solution to the internal-wave kinetic equation. Our analysis of the resonant energy transfers shows that the
An Oceanic Ultra-Violet Catastrophe, Wave-Particle Duality and a Strongly Nonlinear Concept for Geophysical Turbulence
There is no theoretical underpinning that successfully explains how turbulent mixing is fed by wave breaking associated with nonlinear wave-wave interactions in the background oceanic internal
Numerical Evaluation of Energy Transfers in Internal Gravity Wave Spectra of the Ocean
Spectral energy transfers by internal gravity wave–wave interactions for given empirical energy spectra are evaluated numerically from the kinetic equation that is derived from the assumption of weak
A Heuristic Description of Internal Wave Dynamics
The oceanic internal wave spectrum has long been interpreted as being shaped by nonlinear processes. The empirical Garrett and Munk synthesis of oceanic observations is E(m, v) } Nm22v 22 at high
Idealized Solutions for the Energy Balance of the Finescale Internal Wave Field
Abstract Recent fine- and microstructure observations indicate enhanced finescale shear and strain in conjunction with bottom-intensified turbulent dissipation above rough bathymetry in the Brazil
Scaling turbulent dissipation in the thermocline
  • M. Gregg
  • Physics, Environmental Science
  • 1989
By comparing observations from six diverse sites in the mid-latitude thermocline, we find that, to within a factor of 2, 〈eIW〉=7×10‐10〈N2/N02〉〈S104/SGM4〉 W kg‐1, where 〈eIW〉 is the average
The dynamic balance of internal waves
Abstract For oceanic internal waves with vertical scales larger than 1 m the evolution of the spectrum is adequately described by weak-interaction theory. Based on simple physical arguments, a model
Variability and sources of the internal wave continuum examined from global moored velocity records
Energy for ocean turbulence is thought to be transferred from its presumed sources (namely, the mesoscale eddy field, near-inertial internal waves and internal tides) to the internal wave continuum,
Nonlinear interactions among internal gravity waves
This paper reviews the nonlinear interaction calculations for the internal gravity wave field in the deep ocean. The nonlinear interactions are a principal part of the dynamics of internal waves and
Time Scales of Resonant Interactions Among Oceanic Internal Waves
Abstract Transfer rates and times of nonlinear resonant interactions within the oceanic internal wave field are evaluated analytically for the mechanisms which dominate the transfers within the
...
...