Abstract
This paper presents a numerical solution method for the nonlinear mean field dynamo equations in a rotating fluid spherical shell. A finite amplitude field drives a flow through the Lorentz force in the momentum equation and this flow feeds back on the field-generation process in the magnetic induction equation, equilibrating the field. This equilibration process is a key aspect of the full hydrodynamic dynamo as well as mean field dynamo. Including full inertial term we present pseudo-spectral time-stepping procedure to solve the coupled nonlinear momentum equation and induction equation with no-slip velocity boundary conditions in the core for a finitely conducting inner core and an insulating mantle. The method is found suitable for solving many geophysical problems.
Original language | English |
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Pages (from-to) | 422-435 |
Number of pages | 14 |
Journal | Computers and Mathematics with Applications |
Volume | 58 |
Issue number | 3 |
DOIs | |
Publication status | Published - Aug 2009 |
Keywords
- Earth's core
- Inertial effect
- Mean field dynamo
- Spectral method
- Spherical shell
ASJC Scopus subject areas
- Modelling and Simulation
- Computational Theory and Mathematics
- Computational Mathematics