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Inverse cascade of energy in helical turbulence

Published online by Cambridge University Press:  18 May 2020

Franck Plunian Open the ORCID record for Franck Plunian [Opens in a new window] ,
Andrei Teimurazov Open the ORCID record for Andrei Teimurazov [Opens in a new window] ,
Rodion Stepanov Open the ORCID record for Rodion Stepanov [Opens in a new window]  and
Mahendra Kumar Verma Open the ORCID record for Mahendra Kumar Verma [Opens in a new window]
Franck Plunian*
Affiliation:
Université Grenoble Alpes, Université Savoie Mont Blanc, CNRS, IRD, IFSTTAR, ISTerre,38000Grenoble, France
Andrei Teimurazov
Affiliation:
Institute of Continuous Media Mechanics, Korolyov 1, Perm, 614013, Russia
Rodion Stepanov
Affiliation:
Institute of Continuous Media Mechanics, Korolyov 1, Perm, 614013, Russia
Mahendra Kumar Verma
Affiliation:
Department of Physics, Indian Institute of Technology, Kanpur208016, India
*
†Email address for correspondence: [email protected]
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Abstract

Using direct numerical simulation of hydrodynamic turbulence with helicity forcing applied at all scales, a near-maximum helical turbulent state is obtained, with an inverse energy cascade at scales larger than the energy forcing scale and a forward helicity cascade at scales smaller than the energy forcing scale. In contrast to previous studies using decimated triads, our simulations contain all possible triads. By computing the shell-to-shell energy fluxes, we show that the inverse energy cascade results from weakly non-local interactions among homochiral triads. Varying the helicity injection range of scales leads to necessary conditions to obtain an inverse energy cascade.

JFM classification

Turbulent Flows: Isotropic turbulence Turbulent Flows: Homogeneous turbulence Turbulent Flows: Turbulence simulation
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 895 , 25 July 2020 , A13
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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