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A new proof on net upscale energy cascade in two-dimensional and quasi-geostrophic turbulence

Published online by Cambridge University Press:  28 March 2007

ELEFTHERIOS GKIOULEKAS  and
KA KIT TUNG
ELEFTHERIOS GKIOULEKAS
Affiliation:
Department of Mathematics, University of Central Florida, Orlando, FL 32816-1364, USA
KA KIT TUNG
Affiliation:
Department of Applied Mathematics, University of Washington, Seattle, WA 98195-2420, USA
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Abstract

A general proof that more energy flows upscale than downscale in two-dimensional turbulence and barotropic quasi-geostrophic (QG) turbulence is given. A proof is also given that in surface QG turbulence, the reverse is true. Though some of these results are known in restricted cases, the proofs given here are pedagogically simpler, require fewer assumptions and apply to both forced and unforced cases.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 576 , 10 April 2007 , pp. 173 - 189
Copyright
Copyright © Cambridge University Press 2007

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