Inverse cascades and resonant triads in rotating and stratified turbulence

Oks, D., Mininni, P. D., Marino, R., Pouquet, A.. (2017). Inverse cascades and resonant triads in rotating and stratified turbulence. Physics of Fluids, doi:https://doi.org/10.1063/1.5001740

Title Inverse cascades and resonant triads in rotating and stratified turbulence
Genre Article
Author(s) D. Oks, Pablo D. Mininni, Raffaele Marino, Annick Pouquet
Abstract Kraichnan's seminal ideas on inverse cascades yielded new tools to study common phenomena in geophysical turbulent flows. In the atmosphere and the oceans, rotation and stratification result in a flow that can be approximated as two-dimensional at very large scales but which requires considering three-dimensional effects to fully describe turbulent transport processes and non-linear phenomena. Motions can thus be classified into two classes: fast modes consisting of inertia-gravity waves and slow quasi-geostrophic modes for which the Coriolis force and horizontal pressure gradients are close to balance. In this paper, we review previous results on the strength of the inverse cascade in rotating and stratified flows and then present new results on the effect of varying the strength of rotation and stratification (measured by the inverse Prandtl ratio N/f, of the Coriolis frequency to the Brunt-Vaisala frequency) on the amplitude of the waves and on the flow quasi-geostrophic behavior. We show that the inverse cascade is more efficient in the range of N/f for which resonant triads do not exist, 1 / 2
Publication Title Physics of Fluids
Publication Date Nov 1, 2017
Publisher's Version of Record https://doi.org/10.1063/1.5001740
OpenSky Citable URL https://n2t.org/ark:/85065/d7dn47nb
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