Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977sva....21..479i&link_type=abstract
(Astronomicheskii Zhurnal, vol. 54, July-Aug. 1977, p. 846-858.) Soviet Astronomy, vol. 21, July-Aug. 1977, p. 479-485. Transla
Astronomy and Astrophysics
Astronomy
23
Dynamo Theory, Magnetohydrodynamics, Solar Magnetic Field, Stellar Models, Amplitudes, Convective Flow, Magnetic Field Configurations, Nonlinear Systems, Steady State
Scientific paper
A numerical solution is developed for the simplest nonlinear MHD dynamo model of large-scale magnetic-field generation in the solar convection zone. The nonlinearity is introduced by varying the form of the function that describes the helicity of the velocity field. As a result, growing oscillations are suppressed, and a steady-state solution is obtained for a given period and amplitude. Phase relations between the meridional and azimuthal magnetic-field components are examined, a limit is placed on the dependence of angular velocity on convection-zone depth, and a butterfly diagram in qualitative agreement with the observed diagram is plotted. Estimates of the steady-state dynamo number, period, and amplitude are also found to be in good agreement with observations.
Ivanova T. S.
Ruzmaikin Aleksandr
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