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Article: Simulations of fluid motion in spheroidal planetary cores driven by latitudinal libration

TitleSimulations of fluid motion in spheroidal planetary cores driven by latitudinal libration
Authors
KeywordsLatitudinal libration
Planetary fluid cores
Spheroid
Issue Date2011
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/pepi
Citation
Physics Of The Earth And Planetary Interiors, 2011, v. 187 n. 3-4, p. 404-415 How to Cite?
AbstractThe motion of a homogeneous viscous fluid confined in a latitudinally librating, oblate spheroidal cavity with arbitrary eccentricity γ is investigated via direct three-dimensional numerical simulation using an EBE (Element-By-Element) finite element method. When the spheroidal cavity has moderate or large eccentricity with topographic coupling being dominant, an inviscid analytical solution describing the fluid motion driven by latitudinal libration is derived for the purpose of illustrating the nature of the fluid motion. It suggests that, in contrast to the fluid motion driven by longitudinal libration in ellipsoidal cavities, resonance of a spheroidal inertial wave mode with azimuthal wavenumber m=1 can occur when the non-dimensional frequency of forced latitudinal libration is close to ω resonance=2/(2-γ 2), as predicted by the inviscid analytical solution. Three-dimensional direct numerical simulation at non-resonant frequencies, which includes the full effect of viscosity and nonlinearity, is carried out, showing a satisfactory agreement between the inviscid analytical solution and the numerical simulation. Emphasis of the numerical simulation is then placed on the strongly nonlinear librating flow at the exact resonance. The simulation reveals the existence of strong retrograde mean zonal flow due to nonlinear effects in the viscous boundary layer and different profiles of the zonal flow dependent upon the size of the libration frequency. Implications of the result for planetary evolution are also discussed. © 2011 Elsevier B.V.
Persistent Identifierhttp://hdl.handle.net/10722/135162
ISSN
2015 Impact Factor: 2.605
2015 SCImago Journal Rankings: 2.140
ISI Accession Number ID
Funding AgencyGrant Number
Hong Kong RGC700310
NSFC10633030
CAS
UK NERC
STFC
Leverhulme Trust
Funding Information:

K.Z. would like to thank F.H. Busse and J. Noir for helpful discussions. K.H.C. is supported by Hong Kong RGC Grant/700310, X.L. is supported by NSFC/10633030 and CAS grants and K.Z. is supported by UK NERC, STFC and Leverhulme Trust grants. The parallel computation is supported by both Shanghai Supercomputer Center and Swiss National Supercomputing Center.

References

 

DC FieldValueLanguage
dc.contributor.authorChan, KHen_HK
dc.contributor.authorLiao, Xen_HK
dc.contributor.authorZhang, Ken_HK
dc.date.accessioned2011-07-27T01:29:11Z-
dc.date.available2011-07-27T01:29:11Z-
dc.date.issued2011en_HK
dc.identifier.citationPhysics Of The Earth And Planetary Interiors, 2011, v. 187 n. 3-4, p. 404-415en_HK
dc.identifier.issn0031-9201en_HK
dc.identifier.urihttp://hdl.handle.net/10722/135162-
dc.description.abstractThe motion of a homogeneous viscous fluid confined in a latitudinally librating, oblate spheroidal cavity with arbitrary eccentricity γ is investigated via direct three-dimensional numerical simulation using an EBE (Element-By-Element) finite element method. When the spheroidal cavity has moderate or large eccentricity with topographic coupling being dominant, an inviscid analytical solution describing the fluid motion driven by latitudinal libration is derived for the purpose of illustrating the nature of the fluid motion. It suggests that, in contrast to the fluid motion driven by longitudinal libration in ellipsoidal cavities, resonance of a spheroidal inertial wave mode with azimuthal wavenumber m=1 can occur when the non-dimensional frequency of forced latitudinal libration is close to ω resonance=2/(2-γ 2), as predicted by the inviscid analytical solution. Three-dimensional direct numerical simulation at non-resonant frequencies, which includes the full effect of viscosity and nonlinearity, is carried out, showing a satisfactory agreement between the inviscid analytical solution and the numerical simulation. Emphasis of the numerical simulation is then placed on the strongly nonlinear librating flow at the exact resonance. The simulation reveals the existence of strong retrograde mean zonal flow due to nonlinear effects in the viscous boundary layer and different profiles of the zonal flow dependent upon the size of the libration frequency. Implications of the result for planetary evolution are also discussed. © 2011 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.subjectLatitudinal librationen_HK
dc.subjectPlanetary fluid coresen_HK
dc.subjectSpheroiden_HK
dc.titleSimulations of fluid motion in spheroidal planetary cores driven by 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.2011.06.016en_HK
dc.identifier.scopuseid_2-s2.0-80053207519en_HK
dc.identifier.hkuros188100en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-80053207519&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume187en_HK
dc.identifier.issue3-4en_HK
dc.identifier.spage404en_HK
dc.identifier.epage415en_HK
dc.identifier.isiWOS:000296207900028-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridChan, KH=7406033542en_HK
dc.identifier.scopusauthoridLiao, X=7202134147en_HK
dc.identifier.scopusauthoridZhang, K=7404451892en_HK
dc.identifier.citeulike9531963-

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