Energy transfers in shell models for magnetohydrodynamics turbulence.
A systematic procedure to derive shell models for magnetohydrodynamic 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 advect...
| Автори: | , , |
|---|---|
| Формат: | Journal article |
| Мова: | English |
| Опубліковано: |
2009
|
| _version_ | 1826302615581884416 |
|---|---|
| author | Lessinnes, T Carati, D Verma, M |
| author_facet | Lessinnes, T Carati, D Verma, M |
| author_sort | Lessinnes, T |
| collection | OXFORD |
| description | A systematic procedure to derive shell models for magnetohydrodynamic 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-neighbor shells, this procedure reproduces well-known models but suggests a reinterpretation of the energy fluxes. |
| first_indexed | 2024-03-07T05:50:16Z |
| format | Journal article |
| id | oxford-uuid:e8a11bae-e2e2-4381-a0db-357c44f5c123 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:50:16Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:e8a11bae-e2e2-4381-a0db-357c44f5c1232022-03-27T10:48:11ZEnergy transfers in shell models for magnetohydrodynamics turbulence.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e8a11bae-e2e2-4381-a0db-357c44f5c123EnglishSymplectic Elements at Oxford2009Lessinnes, TCarati, DVerma, MA systematic procedure to derive shell models for magnetohydrodynamic 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-neighbor shells, this procedure reproduces well-known models but suggests a reinterpretation of the energy fluxes. |
| spellingShingle | Lessinnes, T Carati, D Verma, M Energy transfers in shell models for magnetohydrodynamics turbulence. |
| title | Energy transfers in shell models for magnetohydrodynamics turbulence. |
| title_full | Energy transfers in shell models for magnetohydrodynamics turbulence. |
| title_fullStr | Energy transfers in shell models for magnetohydrodynamics turbulence. |
| title_full_unstemmed | Energy transfers in shell models for magnetohydrodynamics turbulence. |
| title_short | Energy transfers in shell models for magnetohydrodynamics turbulence. |
| title_sort | energy transfers in shell models for magnetohydrodynamics turbulence |
| work_keys_str_mv | AT lessinnest energytransfersinshellmodelsformagnetohydrodynamicsturbulence AT caratid energytransfersinshellmodelsformagnetohydrodynamicsturbulence AT vermam energytransfersinshellmodelsformagnetohydrodynamicsturbulence |