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Article: Nonlinear flow within a triaxial ellipsoidal planet driven by combined longitudinal and latitudinal libration

TitleNonlinear flow within a triaxial ellipsoidal planet driven by combined longitudinal and latitudinal libration
Authors
KeywordsAxis of rotation
Direction of rotation
Element by elements
Ellipsoidal cavity
Homogeneous fluids
Issue Date2012
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/pepi
Citation
Physics of the Earth and Planetary Interiors, 2012, v. 194–195, p. 64–70 How to Cite?
AbstractDeformed by tidal forces, the cavity of a planetary fluid core may be in the shape of a triaxial ellipsoid x 2/a 2+y 2/b 2+z 2/c 2=1, where a, b and c are different semi-axes and z is in the direction of rotation. Longitudinal libration of the planet is a periodic oscillation of its rotation rate around its rotating axis while latitudinal libration is the inclination of axis of rotation to the normal of the planetary orbital plane. The motion of a homogeneous fluid confined in a triaxial ellipsoidal cavity, which undergoes both latitudinal and longitudinal libration, is investigated via direct numerical simulation using an EBE (Element-By-Element) finite element method. It is shown that latitudinal libration leads to the resonance with spheroidal inertial modes while longitudinal libration has no contribution. On the other hand, longitudinal libration modifies the flow structure in dramatically different ways in the prograde phase (when the planet's rotation speeds up) and retrograde phase (when the planet slows down). Implications of the result for planetary evolution are also discussed. © 2012 Elsevier B.V.
Persistent Identifierhttp://hdl.handle.net/10722/135163
ISSN
2015 Impact Factor: 2.605
2015 SCImago Journal Rankings: 2.140
ISI Accession Number ID
Funding AgencyGrant Number
Shanghai Supercomputer Center (SSC)
Funding Information:

The parallel computation is supported by Shanghai Supercomputer Center (SSC).

References

 

DC FieldValueLanguage
dc.contributor.authorChan, KHen_HK
dc.date.accessioned2011-07-27T01:29:11Z-
dc.date.available2011-07-27T01:29:11Z-
dc.date.issued2012en_HK
dc.identifier.citationPhysics of the Earth and Planetary Interiors, 2012, v. 194–195, p. 64–70en_HK
dc.identifier.issn0031-9201en_HK
dc.identifier.urihttp://hdl.handle.net/10722/135163-
dc.description.abstractDeformed by tidal forces, the cavity of a planetary fluid core may be in the shape of a triaxial ellipsoid x 2/a 2+y 2/b 2+z 2/c 2=1, where a, b and c are different semi-axes and z is in the direction of rotation. Longitudinal libration of the planet is a periodic oscillation of its rotation rate around its rotating axis while latitudinal libration is the inclination of axis of rotation to the normal of the planetary orbital plane. The motion of a homogeneous fluid confined in a triaxial ellipsoidal cavity, which undergoes both latitudinal and longitudinal libration, is investigated via direct numerical simulation using an EBE (Element-By-Element) finite element method. It is shown that latitudinal libration leads to the resonance with spheroidal inertial modes while longitudinal libration has no contribution. On the other hand, longitudinal libration modifies the flow structure in dramatically different ways in the prograde phase (when the planet's rotation speeds up) and retrograde phase (when the planet slows down). Implications of the result for planetary evolution are also discussed. © 2012 Elsevier B.V.en_HK
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/pepien_HK
dc.relation.ispartofPhysics of the Earth and Planetary Interiorsen_HK
dc.subjectAxis of rotationen_HK
dc.subjectDirection of rotationen_HK
dc.subjectElement by elementsen_HK
dc.subjectEllipsoidal cavityen_HK
dc.subjectHomogeneous fluids-
dc.titleNonlinear flow within a triaxial ellipsoidal planet driven by combined longitudinal and latitudinal librationen_HK
dc.typeArticleen_HK
dc.identifier.emailChan, KH: mkhchan@hku.hken_HK
dc.identifier.authorityChan, KH=rp00664en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.pepi.2012.01.011en_HK
dc.identifier.scopuseid_2-s2.0-84858316900en_HK
dc.identifier.hkuros188101en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84858316900&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume194–195en_HK
dc.identifier.spage64–70en_HK
dc.identifier.epage64–70en_HK
dc.identifier.isiWOS:000302851000007-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridChan, KH=7406033542en_HK
dc.identifier.citeulike10366291-

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