Nonlinear magnetoconvection and the geostrophic flow

Details Nonlinear magnetoconvection and the geostrophic flow Nonlinear magnetoconvection and the geostrophic flow

Feb 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999pepi..111...35w&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 111, Issue 1-2, p. 35-46.

Physics

7

Scientific paper

Nonlinear magnetoconvection in a rapidly rotating sphere is investigated. The model consists of a thermally driven, self-gravitating, rapidly rotating fluid-filled sphere in the presence of an imposed axisymmetric toroidal magnetic field. The magnetostrophic approximation is assumed and the leading order nonlinearity, the geostrophic flow, is introduced into the system. For modified Rayleigh number Ra~ above (and below) critical, the model is timestepped until equilibration. The system evolves to an Ekman state and, for Ra~ sufficiently greater than critical, a transition towards a Taylor state is observed. The generated geostrophic flow strongly influences the frequency and direction of the solution: for Ra~ just above critical, the waves travel in a westwardly direction, while for Ra~ much larger than critical, the waves travel in an eastwardly direction. The transition from westwardly to eastwardly propagating waves is smooth in the sense that there exists some Ra~ where the frequency of the solution ω=0. Subcritical solutions are also reported.

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