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

Mohammad M. Rahman, David R. Fearn

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)2552-2564
Number of pages13
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume15
Issue number9
DOIs
Publication statusPublished - Sep 2010

Fingerprint

DC generators
Mean Field Equation
Inertia
Nonlinear Equations
Boundary conditions
Spherical Shell
Fluids
Slip
Rotating
Engineering
Fluid

Keywords

  • Earth's core
  • Electrically conducting fluid
  • Geodynamo
  • Inertial effect
  • Mean field
  • Spectral method
  • Spherical shell

ASJC Scopus subject areas

  • Modelling and Simulation
  • Numerical Analysis
  • Applied Mathematics

Cite this

A spectral solution of nonlinear mean field dynamo equations : Without inertia. / Rahman, Mohammad M.; Fearn, David R.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 15, No. 9, 09.2010, p. 2552-2564.

Research output: Contribution to journalArticle

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