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A Grid-Spectral Method of the Solution of the 3D Kinematic Geodynamo with the Inner Core
Authors:Hejda  P  Reshetnyak  M
Institution:(1) Geophysical Institute, Acad. Sci. Czech Rep., Prague, Czech Republic;(2) Institute of the Physics of the Earth, Russian Acad Sci, Moscow, Russia
Abstract:A 3D kinematic geodynamo model in a sphere with the conductive solid inner core is considered. The 3D magnetic field and velocity field are resolved in the physical space for r- and theta-coordinates, whereas the sin- and cos-decomposition is applied to the PHgr-coordinate. The additional boundary conditions for the case of non-zero velocity field on the boundaries of the liquid spherical shell and for different magnetic diffusivities of the inner and outer core are applied. The computer code was tested by free decay mode solutions and comparisons were made also with results reported by other authors. This work is a part of a project to study 3D inviscid geodynamo models.
Keywords:hydromagnetic dynamo  induction equation  grid methods
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