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...
| Main Authors: | , , |
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| Format: | Journal article |
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2008
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| _version_ | 1826286394586169344 |
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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. |
| first_indexed | 2024-03-07T01:43:06Z |
| format | Journal article |
| id | oxford-uuid:978366b2-d3aa-43d3-a9c6-44629f9b04c0 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:43:06Z |
| publishDate | 2008 |
| record_format | dspace |
| 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 |