School of Mathematical and Statistical Sciences Faculty Publications and Presentations
A new proof on net upscale energy cascade in two-dimensional and quasi-geostrophic turbulence
Document Type
Article
Publication Date
3-28-2007
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.
Recommended Citation
Gkioulekas, Eleftherios, and Ka Kit Tung. "A new proof on net upscale energy cascade in two-dimensional and quasi-geostrophic turbulence." Journal of Fluid Mechanics 576 (2007): 173-189. https://doi.org/10.1017/S0022112006003934
Publication Title
Journal of Fluid Mechanics
DOI
10.1017/S0022112006003934
Comments
Copyright © Cambridge University Press 2007