Self-consistent dynamo models driven by hydromagnetic instabilities

Details Self-consistent dynamo models driven by hydromagnetic instabilities Self-consistent dynamo models driven by hydromagnetic instabilities

Nov 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984pepi...36...78f&link_type=abstract

(International Association of Geomagnetism and Aeronomy, Symposium on Origin of Main Fields and Secular Changes of the Earth and

Physics

13

Dynamo Theory, Earth Core, Geomagnetism, Magnetohydrodynamic Stability, Self Consistent Fields, Convergence, Eigenvalues, Iteration, Magnetic Field Configurations

Scientific paper

The dynamics of the earth's core are dominated by a balance between Lorentz and Coriolis forces. Previous studies of possible (magnetostrophic) hydromagnetic instabilities in this regime have been confined to geophysically unrealistic flows and fields. In recent papers rather general fields and flows have been treated in a spherical geometry and in a computationally simple plane-layer model. These studies have highlighted the importance of differential rotation in determining the spatial structure of the instability. Here, these results are used to construct a self-consistent dynamo model of the geomagnetic field. An iterative procedure is employed in which an alpha-effect is calculated from the form of the instability and is then used in a mean field dynamo model. The mean zonal field calculated there is then input back into the hydromagnetic stability problem and a new alpha-effect calculated. The whole procedure is repeated until the input and output zonal fields are the same to some tolerance.

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