Control Volume Method for the Dynamo Problem in the Sphere with the Free Rotating Inner Core
Source: Studia Geophysica et Geodaetica, Volume 47, Number 1, January 2003 , pp. 147-159(13)
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.
Document Type: Research Article
Affiliations: 1: Geophysical Institute, Acad. Sci. Czech Rep., Boční II/1401, 141 31 Prague 4, Czech Republic email@example.com 2: Institute of the Physics of the Earth, Russian Acad. Sci., Bolshaya Gruzinskaya 10, 123995 Moscow, Russia firstname.lastname@example.org
Publication date: 2003-01-01