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Inverse cascade of energy in helical turbulence

Published online by Cambridge University Press:  18 May 2020

Franck Plunian*
Université Grenoble Alpes, Université Savoie Mont Blanc, CNRS, IRD, IFSTTAR, ISTerre,38000Grenoble, France
Andrei Teimurazov
Institute of Continuous Media Mechanics, Korolyov 1, Perm, 614013, Russia
Rodion Stepanov
Institute of Continuous Media Mechanics, Korolyov 1, Perm, 614013, Russia
Mahendra Kumar Verma
Department of Physics, Indian Institute of Technology, Kanpur208016, India
Email address for correspondence:


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 Papers
© The Author(s), 2020. Published by Cambridge University Press

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