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Numerical solutions of the nonlinear α-effect dynamo equations

Published online by Cambridge University Press:  11 April 2006

Michael R. E. Proctor
Michael R. E. Proctor
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge
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Abstract

An extension is made of the α-effect model of the earth's dynamo into the nonlinear regime following the prescription of Malkus & Proctor (1975). In this model, the effects of small-scale dynamics on the α-effect are suppressed, and the global effects of induced velocity fields examined in isolation. The equations are solved numerically using finite-difference methods, and it is shown that viscous and inertial forces are unimportant in the final equilibration, as suggested in the above paper.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 80 , Issue 4 , 23 May 1977 , pp. 769 - 784
Copyright
© 1977 Cambridge University Press

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