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Titel Remarks on rotating shallow-water magnetohydrodynamics
VerfasserIn V. Zeitlin
Medientyp Artikel
Sprache Englisch
ISSN 1023-5809
Digitales Dokument URL
Erschienen In: Nonlinear Processes in Geophysics ; 20, no. 5 ; Nr. 20, no. 5 (2013-10-29), S.893-898
Datensatznummer 250086064
Publikation (Nr.) Volltext-Dokument vorhandencopernicus.org/npg-20-893-2013.pdf
 
Zusammenfassung
We show how the rotating shallow-water MHD model, which was proposed in the solar tachocline context, may be systematically derived by vertical averaging of the full MHD equations for the rotating magneto fluid under the influence of gravity. The procedure highlights the main approximations and the domain of validity of the model, and allows for multi-layer generalizations and, hence, inclusion of the baroclinic effects. A quasi-geostrophic version of the model, both in barotropic and in baroclinic cases, is derived in the limit of strong rotation. The basic properties of the model(s) are sketched, including the stabilizing role of magnetic fields in the baroclinic version.
 
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