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A Numerical Approach to Dynamically Consistent Spherical Dynamo Models

Published online by Cambridge University Press:  19 July 2016

H. Fuchs ,
K.-H. Rädler  and
M. Schüler
H. Fuchs
Affiliation:
Astrophysikalisches Institut Potsdam, An der Sternwarte 16, O-1591 Potsdam, Germany
K.-H. Rädler
Affiliation:
Astrophysikalisches Institut Potsdam, An der Sternwarte 16, O-1591 Potsdam, Germany
M. Schüler
Affiliation:
Astrophysikalisches Institut Potsdam, An der Sternwarte 16, O-1591 Potsdam, Germany

Abstract

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Models of spherical dynamos are considered which involve the full interaction between the magnetic field and the motion of an incompressible conducting fluid. In the basic equations magnetic field and fluid velocity are expanded in series of certain decay modes. In this way these equations are reduced to an infinite set of ordinary first-order differential equations for the coefficients of these expansions. The behaviour of dynamos can then be studied by integrating a finite set of these equations numerically. Some first results obtained in this way are presented for mean-field models in which the growth of the magnetic field due to the α–effect is limited by large-scale motions generated by Lorentz forces.

Keywords

MHDdynamo modelsmean-field electrodynamics
Type
3. Numerical Simulations of Convection and Dynamo Processes
Information
Symposium - International Astronomical Union , Volume 157: The Cosmic Dynamo , 1993 , pp. 129 - 133
Copyright
Copyright © Kluwer 1993 

References

Rädler, K.-H., Wiedemann, E.: 1989, Geophys. Astrophys. Fluid Dyn. 49, 71 CrossRefGoogle Scholar
Rädler, K.-H., Wiedemann, E., Brandenburg, A., Meinel, R., and Tuominen, I.: 1990, Astron. Astrophys. 239, 413 Google Scholar