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Control Volume Method for the Dynamo Problem in the Sphere with the Free Rotating Inner Core

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Abstract

A model of thermally driven dynamo in the Boussinesq approximation in the spherical shell with the free rotating inner core is considered. To solve equations we use a new in dynamo modeling control volume technique (for details of this method for hydrodynamics see Patankar, 1980). The main advantage of this method over previous attempts to solve magnetohydrodynamics equations in the spherical grids is that no filtering of high harmonics in the pole regions is needed. We present the results of simulations for the self-consistent dynamo system evolution over the diffusion time and longer periods. Different ways of stabilizations of magnetohydrodynamics equations, when convective terms are of the same order (or larger) as conductive ones, are considered.

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Authors and Affiliations

  1. Geophysical Institute, Acad. Sci. Czech Rep., Boční II/1401, 141 31, Prague 4, Czech Republic

    P. Hejda

  2. Institute of the Physics of the Earth, Russian Acad. Sci., Bolshaya Gruzinskaya 10, 123995, Moscow, Russia

    M. Reshetnyak

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  1. P. Hejda
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  2. M. Reshetnyak
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Hejda, P., Reshetnyak, M. Control Volume Method for the Dynamo Problem in the Sphere with the Free Rotating Inner Core. Studia Geophysica et Geodaetica 47, 147–159 (2003). https://doi.org/10.1023/A:1022207823737

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