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Quasi-geostrophic Turbulence and Generalized Scale Invariance, a Theoretical Reply : Volume 11, Issue 1 (31/01/2011)

By Schertzer, D.

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Book Id: WPLBN0003995823
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File Size: Pages 20
Reproduction Date: 2015

Title: Quasi-geostrophic Turbulence and Generalized Scale Invariance, a Theoretical Reply : Volume 11, Issue 1 (31/01/2011)  
Author: Schertzer, D.
Volume: Vol. 11, Issue 1
Language: English
Subject: Science, Atmospheric, Chemistry
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Tuck, A., Tchiguirinskaia, I., Lovejoy, S., & Schertzer, D. (2011). Quasi-geostrophic Turbulence and Generalized Scale Invariance, a Theoretical Reply : Volume 11, Issue 1 (31/01/2011). Retrieved from

Description: Université Paris-Est, Ecole des Ponts ParisTech, LEESU, Marne-la-Vallée, France. Lindborg et al. (2010) claim that the spectrum power law E(k)k−3 on scales ≥600 km obtained with the help of commercial jetliner trajectory deviations (GASP and Mozaic databases) could not be brought into question (Lovejoy et al., 2009a), because this spectrum corresponds to a well known theory of quasi-geostrophic turbulence developed by Charney (1971). Lindborg et al. (2010) also claim that limitations [of this theory] have been relaxed in many of the modern models of atmospheric turbulence. We show that both claims are irrelevant and that generalized scale invariance (GSI) is indispensable to go beyond the quasi-geostrophic limitations, to go in fact from scale analysis to scaling analysis. This enables us to derive vorticity equations in a space of (fractional) dimension D=2+Hz (0 ≤ Hz ≤1), which seem to be an interesting dynamical alternative to the quasi-geostrophic approximation and turbulence.

Quasi-geostrophic turbulence and generalized scale invariance, a theoretical reply

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