Energy transfers in shell models for MHD turbulence
arXiv:0807.5076 · doi:10.1103/PhysRevE.79.066307
Abstract
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.
8 pages
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Cited by in corpus (10)
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- Dynamos at extreme magnetic Prandtl numbers: Insights from shell models
- The small-scale dynamo: Breaking universality at high Mach numbers
- Optimal subgrid scheme for shell models of turbulence
- On the locality of MHD turbulence scale fluxes
- Non-locality of Hydrodynamic and Magnetohydrodynamic Turbulence
- A nested polyhedra model of isotropic MHD turbulence