Abstract
In this paper we describe in detail spectral solution method for solving nonlinear mean field dynamo equations without inertial effects in a rapidly rotating spherical shell filled with electrically conducting fluid taken into account no-slip velocity boundary conditions in the core for a finitely conducting inner core and an insulating mantle. Sample results are provided for nonlinear alpha squared dynamos. The method is suitable for solving many geophysical, astrophysical and engineering problems.
Original language | English |
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Pages (from-to) | 2552-2564 |
Number of pages | 13 |
Journal | Communications in Nonlinear Science and Numerical Simulation |
Volume | 15 |
Issue number | 9 |
DOIs | |
Publication status | Published - Sept 2010 |
Keywords
- Earth's core
- Electrically conducting fluid
- Geodynamo
- Inertial effect
- Mean field
- Spectral method
- Spherical shell
ASJC Scopus subject areas
- Numerical Analysis
- Modelling and Simulation
- Applied Mathematics