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The nonlinear properties of a large-scale dynamo driven by helical forcing

Published online by Cambridge University Press:  09 April 2002

FAUSTO CATTANEO
Affiliation:
Department of Mathematics, University of Chicago, Chicago, IL 60637, USA
DAVID W. HUGHES
Affiliation:
Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK
JEAN-CLAUDE THELEN
Affiliation:
Department of Astronomy and Astrophysics, University of Chicago, Chicago, IL 60637, USA

Abstract

By considering an idealized model of helically forced flow in an extended domain that allows scale separation, we have investigated the interaction between dynamo action on different spatial scales. The evolution of the magnetic field is studied numerically, from an initial state of weak magnetization, through the kinematic and into the dynamic regime. We show how the choice of initial conditions is a crucial factor in determining the structure of the magnetic field at subsequent times. For a simulation with initial conditions chosen to favour the growth of the small-scale field, the evolution of the large-scale magnetic field can be described in terms of the α-effect of mean field magnetohydrodynamics. We have investigated this feature further by a series of related numerical simulations in smaller domains. Of particular significance is that the results are consistent with the existence of a nonlinearly driven α-effect that becomes saturated at very small amplitudes of the mean magnetic field.

Type
Research Article
Copyright
© 2002 Cambridge University Press

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