A New Proof on Net Upscale Energy Cascade in 2D and QG Turbulence

Details A New Proof on Net Upscale Energy Cascade in 2D and QG Turbulence A New Proof on Net Upscale Energy Cascade in 2D and QG Turbulence

2005-12-02

arxiv.org/abs/nlin/0512005v2

J. Fluid Mech. 576, 173-189, 2007

Nonlinear Sciences

Chaotic Dynamics

v1: submitted to J. Fluid. Mech v2: revised and accepted by J. Fluid. Mech, 17 pages

Scientific paper

A general proof that more energy flows upscale than downscale in two-dimensional (2D) 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.

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