On two-dimensionalization of three-dimensional turbulence in shell models

Applying a modified version of the Gledzer-Ohkitani-Yamada (GOY) shell model, the signatures of so-called two-dimensionalization effect of three-dimensional incompressible, homogeneous, isotropic fully developed unforced turbulence have been studied and reproduced. Within the framework of shell mode...

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Bibliographic Details
Published inarXiv.org
Main Authors Chakraborty, Sagar, Jensen, Mogens H, Sarkar, Amartya
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 03.02.2010
Subjects
Computational fluid dynamics
Depletion
Energy spectra
Physics - Chaotic Dynamics
Physics - Fluid Dynamics
Physics - Statistical Mechanics
Self-similarity
Three dimensional models
Turbulence
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Summary:Applying a modified version of the Gledzer-Ohkitani-Yamada (GOY) shell model, the signatures of so-called two-dimensionalization effect of three-dimensional incompressible, homogeneous, isotropic fully developed unforced turbulence have been studied and reproduced. Within the framework of shell models we have obtained the following results: (i) progressive steepening of the energy spectrum with increased strength of the rotation, and, (ii) depletion in the energy flux of the forward forward cascade, sometimes leading to an inverse cascade. The presence of extended self-similarity and self-similar PDFs for longitudinal velocity differences are also presented for the rotating 3D turbulence case.
ISSN:2331-8422
DOI:10.48550/arxiv.0803.2273