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Three-dimensional turbulence without vortex stretching

Published online by Cambridge University Press:  29 March 2021

Wouter J.T. Bos Open the ORCID record for Wouter J.T. Bos [Opens in a new window]
Wouter J.T. Bos*
Affiliation:
Univ Lyon, École Centrale de Lyon, INSA Lyon, Université Claude Bernard Lyon 1, CNRS, Laboratoire de Mécanique des Fluides et d'Acoustique, UMR 5509, 36 Avenue Guy de Collongue, F-69134 Ecully, France
*
†Email address for correspondence: wouter.bos@ec-lyon.fr
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Abstract

We consider three-dimensional turbulence from which vortex stretching is removed. The resulting system conserves enstrophy, but does not conserve kinetic energy. Using spectral closure, it is shown that enstrophy is transferred to small scales by a direct cascade. The inviscid truncated system tends to an equipartition of enstrophy over wave vectors. No inverse cascade is observed once the scales larger than the forcing scale are in equipartition.

JFM classification

Turbulent Flows: Isotropic turbulence Turbulent Flows: Turbulence theory
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 915 , 25 May 2021 , A121
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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