Geostrophic vs magneto-geostrophic adjustment and nonlinear magneto-inertia-gravity waves in rotating shallow water magnetohydrodynamics - Université Pierre et Marie Curie Accéder directement au contenu
Article Dans Une Revue Geophysical and Astrophysical Fluid Dynamics Année : 2015

Geostrophic vs magneto-geostrophic adjustment and nonlinear magneto-inertia-gravity waves in rotating shallow water magnetohydrodynamics

Résumé

The evolution of localised jets and periodic nonlinear waves in rotating shallow water magnetohydrodynamics (rotating SWMHD) and standard rotating shallow water model (RSW) is compared within the framework of translationally-invariant 1.5-dimensional configurations, which are traditionally used in geophysical fluid dynamics for studying geostrophic adjustment and frontogenesis. Such configurations also allow for exact nonlinear wave solutions in both models. A theory of the magneto-geostrophic adjustment, i.e. adjustment of an arbitrary initial configuration to a state of magneto-geostrophic equilibrium in RSWMHD, is developed and confirmed by numerical simulations with a finite-volume well-balanced code. The code is resolving all kinds of waves in the model and corresponding weak solutions equally well. It is benchmarked by reproducing exact solutions -- steady essentially nonlinear Alfvèn and mixed magneto-inertia-gravity waves -- and used to demonstrate robustness of these solutions with respect to localised along-wave perturbations. It is also shown how the results on adjustment can be extended to the fully 2-dimensional case.
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Dates et versions

hal-01205761 , version 1 (27-09-2015)

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Vladimir Zeitlin, Christelle Lusso, François Bouchut. Geostrophic vs magneto-geostrophic adjustment and nonlinear magneto-inertia-gravity waves in rotating shallow water magnetohydrodynamics. Geophysical and Astrophysical Fluid Dynamics, 2015, 109 (5), pp.497-523. ⟨10.1080/03091929.2015.1072178⟩. ⟨hal-01205761⟩
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