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Article: A non-linear, 3-D spherical α2 dynamo using a finite element method

TitleA non-linear, 3-D spherical α2 dynamo using a finite element method
Authors
KeywordsDynamo
Finite Element Method
Non-Linear
Issue Date2001
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/pepi
Citation
Physics Of The Earth And Planetary Interiors, 2001, v. 128 n. 1-4, p. 35-50 How to Cite?
AbstractThe problem of non-linear planetary dynamos with a prescribed two- or three-dimensional, time-dependent α is investigated using a finite element method. Magnetic fields are generated in a turbulent electrically conducting fluid spherical shell of constant electric conductivity surrounded by an electrically insulating uniform mantle or an electrically conducting heterogeneous mantle. The inner sphere is assumed to be a solid electric conductor that has the same conductivity as that of the fluid shell. Equilibration of the generated magnetic field is achieved by the non-linear process of α-quenching. The key numerical features of the finite element method for solving the dynamo equation are discussed in detail. The conflict between the local nature of the finite element method and the global boundary condition of the generated magnetic field is resolved by using approximate boundary conditions for the magnetic field. Tests and comparisons between analytical or semi-analytical solutions based on asymptotic boundary conditions and finite element solutions based on approximate boundary conditions have been conducted. A variety of non-linear solutions, including two-and three-dimensional stationary dynamos and two-and three-dimensional time-dependent dynamos, are obtained with the finite element method. Implications for planetary dynamos are discussed. © 2001 Elsevier Science B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/156088
ISSN
2015 Impact Factor: 2.605
2015 SCImago Journal Rankings: 2.140
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChan, KHen_US
dc.contributor.authorZhang, Ken_US
dc.contributor.authorZou, Jen_US
dc.contributor.authorSchubert, Gen_US
dc.date.accessioned2012-08-08T08:40:21Z-
dc.date.available2012-08-08T08:40:21Z-
dc.date.issued2001en_US
dc.identifier.citationPhysics Of The Earth And Planetary Interiors, 2001, v. 128 n. 1-4, p. 35-50en_US
dc.identifier.issn0031-9201en_US
dc.identifier.urihttp://hdl.handle.net/10722/156088-
dc.description.abstractThe problem of non-linear planetary dynamos with a prescribed two- or three-dimensional, time-dependent α is investigated using a finite element method. Magnetic fields are generated in a turbulent electrically conducting fluid spherical shell of constant electric conductivity surrounded by an electrically insulating uniform mantle or an electrically conducting heterogeneous mantle. The inner sphere is assumed to be a solid electric conductor that has the same conductivity as that of the fluid shell. Equilibration of the generated magnetic field is achieved by the non-linear process of α-quenching. The key numerical features of the finite element method for solving the dynamo equation are discussed in detail. The conflict between the local nature of the finite element method and the global boundary condition of the generated magnetic field is resolved by using approximate boundary conditions for the magnetic field. Tests and comparisons between analytical or semi-analytical solutions based on asymptotic boundary conditions and finite element solutions based on approximate boundary conditions have been conducted. A variety of non-linear solutions, including two-and three-dimensional stationary dynamos and two-and three-dimensional time-dependent dynamos, are obtained with the finite element method. Implications for planetary dynamos are discussed. © 2001 Elsevier Science B.V. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/pepien_US
dc.relation.ispartofPhysics of the Earth and Planetary Interiorsen_US
dc.subjectDynamoen_US
dc.subjectFinite Element Methoden_US
dc.subjectNon-Linearen_US
dc.titleA non-linear, 3-D spherical α2 dynamo using a finite element methoden_US
dc.typeArticleen_US
dc.identifier.emailChan, KH:mkhchan@hku.hken_US
dc.identifier.authorityChan, KH=rp00664en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/S0031-9201(01)00276-Xen_US
dc.identifier.scopuseid_2-s2.0-0035686934en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0035686934&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume128en_US
dc.identifier.issue1-4en_US
dc.identifier.spage35en_US
dc.identifier.epage50en_US
dc.identifier.isiWOS:000173024300005-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridChan, KH=7406033542en_US
dc.identifier.scopusauthoridZhang, K=7404451892en_US
dc.identifier.scopusauthoridZou, J=8389644300en_US
dc.identifier.scopusauthoridSchubert, G=7201568549en_US

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