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Article: Spherical interface dynamos: Mathematical theory, finite element approximation, and application

TitleSpherical interface dynamos: Mathematical theory, finite element approximation, and application
Authors
KeywordsFinite Element Analysis
Spherical Interface Dynamo
Well-Posedness
Issue Date2006
PublisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at http://epubs.siam.org/sam-bin/dbq/toclist/SINUM
Citation
SIAM Journal On Numerical Analysis, 2006, v. 44 n. 5, p. 1877-1902 How to Cite?
AbstractStellar magnetic activities such as the 11-year sunspot cycle are the manifestation of magnetohydrodynamic dynamo processes taking place in the deep interiors of stars. This paper is concerned with the mathematical theory and finite element approximation of mean-field spherical dynamos and their astrophysical application. We first investigate the existence, uniqueness, and stability of the dynamo system governed by a set of nonlinear PDEs with discontinuous physical coefficients in spherical geometry, and characterize the system by a saddle-point type variational form. Then we propose a fully discrete finite element approximation to the dynamo system and study its convergence and stability. For the astrophysical application, we perform some fully threedimensional numerical simulations of a solar interface dynamo using the proposed algorithm, which successfully generates the equatorially propagating dynamo wave with a period of about 11 years similar to that of the Sun. © 2006 Society for Industrial and Applied Mathematics.
Persistent Identifierhttp://hdl.handle.net/10722/156174
ISSN
2015 Impact Factor: 1.899
2015 SCImago Journal Rankings: 2.972
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChan, KHen_US
dc.contributor.authorZhang, Ken_US
dc.contributor.authorZou, Jen_US
dc.date.accessioned2012-08-08T08:40:42Z-
dc.date.available2012-08-08T08:40:42Z-
dc.date.issued2006en_US
dc.identifier.citationSIAM Journal On Numerical Analysis, 2006, v. 44 n. 5, p. 1877-1902en_US
dc.identifier.issn0036-1429en_US
dc.identifier.urihttp://hdl.handle.net/10722/156174-
dc.description.abstractStellar magnetic activities such as the 11-year sunspot cycle are the manifestation of magnetohydrodynamic dynamo processes taking place in the deep interiors of stars. This paper is concerned with the mathematical theory and finite element approximation of mean-field spherical dynamos and their astrophysical application. We first investigate the existence, uniqueness, and stability of the dynamo system governed by a set of nonlinear PDEs with discontinuous physical coefficients in spherical geometry, and characterize the system by a saddle-point type variational form. Then we propose a fully discrete finite element approximation to the dynamo system and study its convergence and stability. For the astrophysical application, we perform some fully threedimensional numerical simulations of a solar interface dynamo using the proposed algorithm, which successfully generates the equatorially propagating dynamo wave with a period of about 11 years similar to that of the Sun. © 2006 Society for Industrial and Applied Mathematics.en_US
dc.languageengen_US
dc.publisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at http://epubs.siam.org/sam-bin/dbq/toclist/SINUMen_US
dc.relation.ispartofSIAM Journal on Numerical Analysisen_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectFinite Element Analysisen_US
dc.subjectSpherical Interface Dynamoen_US
dc.subjectWell-Posednessen_US
dc.titleSpherical interface dynamos: Mathematical theory, finite element approximation, and applicationen_US
dc.typeArticleen_US
dc.identifier.emailChan, KH:mkhchan@hku.hken_US
dc.identifier.authorityChan, KH=rp00664en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1137/050635596en_US
dc.identifier.scopuseid_2-s2.0-33751550813en_US
dc.identifier.hkuros142516-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33751550813&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume44en_US
dc.identifier.issue5en_US
dc.identifier.spage1877en_US
dc.identifier.epage1902en_US
dc.identifier.isiWOS:000242572900004-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChan, KH=7406033542en_US
dc.identifier.scopusauthoridZhang, K=7404451892en_US
dc.identifier.scopusauthoridZou, J=8389644300en_US

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