Nonlinear dynamos with magnetic buoyancy in spherical geometry

Details Nonlinear dynamos with magnetic buoyancy in spherical geometry Nonlinear dynamos with magnetic buoyancy in spherical geometry

Feb 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...228..284m&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 228, no. 1, Feb. 1990, p. 284-294.

Statistics

Computation

33

Computational Astrophysics, Dynamo Theory, Magnetohydrodynamics, Buoyancy, Mathematical Models, Solar Cycles, Spheres, Stellar Rotation

Scientific paper

Numerical solutions are computed for axisymmetric mean field dynamos of alpha-sq and alpha-sq omega type in spherical geometry. In particular, the effects of including a term in the magnetohydrodynamic equations which represents the upward advection of fields by magnetic buoyancy is studied. For the buoyancy-limited alpha-sq dynamo, it is found that, for certain parameter values, this model may have two stable solutions, of opposite parity properties with respect to the equator. In the dynamo models for smaller values of a dynamo number, odd parity solutions are stable, but, for larger values, it is the even parity solutions that are stable. These results concerning the stability of pure parity solutions are similar to those found in an earlier study in which the nonlinearity was a simple alpha-quenching. Some models are presented with both buoyancy and alpha-quenching included. The most noticeable effect of adding a buoyancy term to the alpha-quenched solutions is that the amplitude of the finite amplitude parity oscillations (tori and limit cycles) previously found is reduced.

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