Title

Is The Subdominant Part Of The Energy Spectrum Due To Downscale Energy Cascade Hidden In Quasi-Geostrophic Turbulence?

Keywords

2d turbulence; QG turbulence

Abstract

In systems governing two-dimensional turbulence, surface quasi-geostrophic turbulence, (more generally α-turbulence), two-layer quasi-geostrophic turbulence, etc., there often exist two conservative quadratic quantities, one "energy"-like and one "enstrophy"-like. In a finite inertial range there are in general two spectral fluxes, one associated with each conserved quantity. We derive here an inequality comparing the relative magnitudes of the "energy" and "enstrophy" fluxes for finite or infinitesimal dissipations, and for hyper or hypo viscosities. When this inequality is satisfied, as is the case of 2D turbulence,where the energy flux contribution to the energy spectrum is small, the subdominant part will be effectively hidden. In sQG turbulence, it is shown that the opposite is true: the downscale energy flux becomes the dominant contribution to the energy spectrum. A combination of these two behaviors appears to be the case in 2-layer QG turbulence, depending on the baroclinicity of the system.

Publication Date

1-1-2007

Publication Title

Discrete and Continuous Dynamical Systems - Series B

Volume

7

Issue

2

Number of Pages

293-314

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.3934/dcdsb.2007.7.293

Socpus ID

34247233205 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/34247233205

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