# 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…

## 3 Citations

The Structure of Energy Fluxes in Wave Turbulence

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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

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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

- Physics, Environmental Science
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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

- Environmental Science, PhysicsJournal of Fluid Mechanics
- 2021

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

- Geology
- 2017

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

- Physics, Environmental ScienceJournal of Physical Oceanography
- 2019

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

- Environmental Science, Physics
- 2004

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

- Environmental Science, Physics
- 2004

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

- 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

- Physics, Environmental Science
- 1981

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

- Environmental Science, Physics
- 2021

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

- Physics, Environmental Science
- 1986

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

- Physics
- 1981

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…