Statistics – Computation
Scientific paper
Sep 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984jcoph..55..461g&link_type=abstract
Journal of Computational Physics (ISSN 0021-9991), vol. 55, Sept. 1984, p. 461-484. Sponsorship: Science and Engineering Researc
Statistics
Computation
234
Chebyshev Approximation, Computerized Simulation, Crank-Nicholson Method, Dynamo Theory, Stellar Magnetic Fields, Stellar Models, Boussinesq Approximation, Convection, Coriolis Effect, Differential Equations, Magnetohydrodynamics, Solar Rotation, Spherical Harmonics
Scientific paper
Many studies of stellar convection involve models which employ the Boussinesq approximation for which there is no basic density stratification. It is pointed out, however, that stellar convection zones have large density stratifications. The use of the Boussinesq approximation produces, therefore, serious limitation. The current investigation is concerned with a model which represents a multimode, nonlinear, dynamic dynamo within the anelastic approximation. The model includes the effects of rotation, spherical geometry, density stratification, and penetration into a subadiabatic region. It is hoped to obtain a better understanding of global convection and magnetic field generation in stars by analyzing, with good spatial and temporal resolution, the physics responsible for the considered phenomena. Attention is given to the stellar model, details regarding the numerical method, and preliminary solutions.
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