Energy transfers in shell models for MHD turbulence

A systematic procedure to derive shell models for MHD turbulence is proposed. It takes into account the conservation of ideal quadratic invariants such as the total energy, the cross-helicity and the magnetic helicity as well as the conservation of the magnetic energy by the advection term in the in...

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Bibliografische gegevens
Hoofdauteurs: Lessinnes, T, Verma, M, Carati, D
Formaat: Journal article
Gepubliceerd in: 2008
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author Lessinnes, T
Verma, M
Carati, D
author_facet Lessinnes, T
Verma, M
Carati, D
author_sort Lessinnes, T
collection OXFORD
description A systematic procedure to derive shell models for MHD turbulence is proposed. It takes into account the conservation of ideal quadratic invariants such as the total energy, the cross-helicity and the magnetic helicity as well as the conservation of the magnetic energy by the advection term in the induction equation. This approach also leads to simple expressions for the energy exchanges as well as to unambiguous definitions for the energy fluxes. When applied to the existing shell models with nonlinear interactions limited to the nearest neighbour shells, this procedure reproduces well known models but suggests a reinterpretation of the energy fluxes.
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spelling oxford-uuid:978366b2-d3aa-43d3-a9c6-44629f9b04c02022-03-27T00:00:12ZEnergy transfers in shell models for MHD turbulenceJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:978366b2-d3aa-43d3-a9c6-44629f9b04c0Symplectic Elements at Oxford2008Lessinnes, TVerma, MCarati, DA systematic procedure to derive shell models for MHD turbulence is proposed. It takes into account the conservation of ideal quadratic invariants such as the total energy, the cross-helicity and the magnetic helicity as well as the conservation of the magnetic energy by the advection term in the induction equation. This approach also leads to simple expressions for the energy exchanges as well as to unambiguous definitions for the energy fluxes. When applied to the existing shell models with nonlinear interactions limited to the nearest neighbour shells, this procedure reproduces well known models but suggests a reinterpretation of the energy fluxes.
spellingShingle Lessinnes, T
Verma, M
Carati, D
Energy transfers in shell models for MHD turbulence
title Energy transfers in shell models for MHD turbulence
title_full Energy transfers in shell models for MHD turbulence
title_fullStr Energy transfers in shell models for MHD turbulence
title_full_unstemmed Energy transfers in shell models for MHD turbulence
title_short Energy transfers in shell models for MHD turbulence
title_sort energy transfers in shell models for mhd turbulence
work_keys_str_mv AT lessinnest energytransfersinshellmodelsformhdturbulence
AT vermam energytransfersinshellmodelsformhdturbulence
AT caratid energytransfersinshellmodelsformhdturbulence