A model of the solar cycle driven by the dynamo action of the global convection in the solar convection zone

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Dynamo Theory, Solar Activity Effects, Solar Cycles, Astronomical Maps, Boundary Value Problems, Magnetohydrodynamics, Solar Magnetic Field, Sunspots

Scientific paper

The dynamo equation representing the longitudinally averaged magnetohydrodynamical action of the global convection influenced by the rotation in the solar convection zone is solved numerically to simulate the solar cycle as an initial boundary-value problem. The radial and latitudinal structure of the dynamo action is parametrized in accordance with the structure of the rotation, to represent the presence of the two cells of the regeneration action in the radial direction in which the action has opposite signs. By adjusting the parameters within a reasonable range, oscillatory solutions are obtained to simulate the solar cycle. The development of the radial structure of the magnetic field associated with the solar cycle is presented to explain the simultaneous presence of active regions with the polarity of the new cycle in the region of magnetic field with the polarity of the old cycle. The importance of the poleward migrating branch of the Butterfly Diagram is emphasized in relation to the relative importance of the role of the latitudinal and radial shears of the differential rotation.

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