On the double cascades of energy and enstrophy in two-dimensional turbulence. I: Theoretical formulation
type: Item
instance of: scholarly article
title: On the double cascades of energy and enstrophy in two-dimensional turbulence. I: Theoretical formulation
zbMATH Open document ID: 1115.76033
author: Eleftherios Gkioulekas
author: Ka Kit Tung
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2005-04-18T00:00:00Z
review text: The Kraichnan-Leith-Batchelor scenario of a dual cascade, consisting of an upscale pure energy cascade and a downscale pure enstrophy cascade, is an idealization valid only in an infinite domain in the limit of infinite Reynolds number. In realistic situations there are double cascades of energy and enstrophy located both upscale and downscale of injection, as long as there are cascades. We outline the statistical theory governing the double cascades and predict the form of the energy spectrum. We show that in general the twin conservation of energy and enstrophy imply the presence of two constant fluxes in each inertial range. This gives rise to a more complicated energy spectrum, which cannot be predicted using dimensional arguments as in the classical theory.
Mathematics Subject Classification ID: 76F02
Mathematics Subject Classification ID: 60G60
Mathematics Subject Classification ID: 76F55
zbMATH DE Number: 2157842
MaRDI profile type: Publication
full work available at URL: dcdsb.2005.5.79
OpenAlex ID: W2315500592
DOI: 10.3934/DCDSB.2005.5.79
description: scientific article; zbMATH DE number 2157842