Inverse cascade of energy in helical turbulence

Franck Plunian; Andrei Teimurazov; Rodion Stepanov; Mahendra K. Verma

doi:10.1017/jfm.2020.307

Inverse cascade of energy in helical turbulence

Franck Plunian, Andrei Teimurazov, Rodion Stepanov, Mahendra K. Verma

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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.

Original language	English (US)
Journal	Journal of Fluid Mechanics
Volume	895
DOIs	https://doi.org/10.1017/jfm.2020.307
State	Published - May 18 2020
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2022-06-14
Acknowledgements: F.P. and M.K.V. are grateful for support from IFCAM project MA/IFCAM/19/90, and CEFIPRA project 6104-1. M.K.V. and R.S. thank Grenoble Alpes University for support. Our numerical simulations have been performed on Shaheen II at the KAUST supercomputing laboratory, Saudi Arabia, under the project k1416.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Condensed Matter Physics

Access to Document

10.1017/jfm.2020.307

Cite this

@article{19167ff317a74f72a978939e3272f87f,

title = "Inverse cascade of energy in helical turbulence",

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.",

author = "Franck Plunian and Andrei Teimurazov and Rodion Stepanov and Verma, {Mahendra K.}",

note = "KAUST Repository Item: Exported on 2022-06-14 Acknowledgements: F.P. and M.K.V. are grateful for support from IFCAM project MA/IFCAM/19/90, and CEFIPRA project 6104-1. M.K.V. and R.S. thank Grenoble Alpes University for support. Our numerical simulations have been performed on Shaheen II at the KAUST supercomputing laboratory, Saudi Arabia, under the project k1416. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2020",

month = may,

day = "18",

doi = "10.1017/jfm.2020.307",

language = "English (US)",

volume = "895",

journal = "Journal of Fluid Mechanics",

issn = "1469-7645",

publisher = "Cambridge University Press",

}

TY - JOUR

T1 - Inverse cascade of energy in helical turbulence

AU - Plunian, Franck

AU - Teimurazov, Andrei

AU - Stepanov, Rodion

AU - Verma, Mahendra K.

N1 - KAUST Repository Item: Exported on 2022-06-14 Acknowledgements: F.P. and M.K.V. are grateful for support from IFCAM project MA/IFCAM/19/90, and CEFIPRA project 6104-1. M.K.V. and R.S. thank Grenoble Alpes University for support. Our numerical simulations have been performed on Shaheen II at the KAUST supercomputing laboratory, Saudi Arabia, under the project k1416. This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2020/5/18

Y1 - 2020/5/18

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/678961

UR - https://www.cambridge.org/core/product/identifier/S0022112020003079/type/journal_article

UR - http://www.scopus.com/inward/record.url?scp=85085131645&partnerID=8YFLogxK

U2 - 10.1017/jfm.2020.307

DO - 10.1017/jfm.2020.307

M3 - Article

SN - 1469-7645

VL - 895

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

ER -

Inverse cascade of energy in helical turbulence

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this