Kinematic dynamo action in a sphere. I. Effects of differential rotation and meridional circulation on solutions with axial dipole symmetry

DOI10.1098/rspa.2000.0565zbMath0998.76100OpenAlexW2134072700WikidataQ57985499 ScholiaQ57985499MaRDI QIDQ2713405

D. Gubbins, C. N. Barber, S. J. Gibbons, J. J. Love

Publication date: 16 November 2002

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: http://eprints.whiterose.ac.uk/361/1/gubbinsd2.pdf

zbMATH Keywords

sphereeigenvalue problemsparameter spacedifferential rotationgeomagnetismmeridional circulationkinematic dynamosaxial dipoledynamo generationlarge-scale axisymmetric poloidal fieldslarge-scale axisymmetric toroidal magnetic fields

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Magnetohydrodynamics and electrohydrodynamics (76W05) Geo-electricity and geomagnetism (86A25)

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Uses Software

• eigs
• ARPACK