A spectral solution of nonlinear mean field dynamo equations: Without inertia

Rahman, M.M. and Fearn, D.R. (2010) A spectral solution of nonlinear mean field dynamo equations: Without inertia. Communications in a Nonlinear Science and Numerical Simulations, 15(9), pp. 2552-2564. (doi: 10.1016/j.cnsns.2009.09.041)

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Publisher's URL: http://dx.doi.org/10.1016/j.cnsns.2009.09.041

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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Fearn, Professor David
Authors: Rahman, M.M., and Fearn, D.R.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Communications in a Nonlinear Science and Numerical Simulations
Publisher:Elsevier
ISSN:1007-5704

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