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Conference Paper: Fluid motion in a triaxial ellipsoidal cavity driven by libration
Title | Fluid motion in a triaxial ellipsoidal cavity driven by libration |
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Authors | |
Issue Date | 2012 |
Citation | International Conference on Scientific Computing 2012, Chinese University of Hong Kong, Hong Kong, 4-7 January 2012. In Program book, p. 41 How to Cite? |
Abstract | Deformed by tidal forces and rotational e ects, the cavity of a planetary
uid core is usually in the shape of non-spherical geometry. Gravitational interaction between a planet and its parent star or moon exerts a torque on the planet and forces its latitudinal libration which drives
uid motion in non-spherical planetary cores via viscous and topographic coupling between the planetary mantle and
uid core. We shall present an asymptotic theory { a mathematical solution of the Navior-Stokes solution in spheroidal
geometry with small viscosity { describing the
uid motion driven by latitudinal libration. We shall also present an e cient nite element method for simulating nonlinear
ows in latitudinally librating, triaxial ellipsoidal cavities with stability properties and error estimates of the time-dependent nite element solution. |
Persistent Identifier | http://hdl.handle.net/10722/237833 |
DC Field | Value | Language |
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dc.contributor.author | Chan, KH | - |
dc.contributor.author | Zhang, K | - |
dc.contributor.author | Liao, X | - |
dc.contributor.author | Zou, J | - |
dc.date.accessioned | 2017-01-24T07:03:37Z | - |
dc.date.available | 2017-01-24T07:03:37Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | International Conference on Scientific Computing 2012, Chinese University of Hong Kong, Hong Kong, 4-7 January 2012. In Program book, p. 41 | - |
dc.identifier.uri | http://hdl.handle.net/10722/237833 | - |
dc.description.abstract | Deformed by tidal forces and rotational e ects, the cavity of a planetary uid core is usually in the shape of non-spherical geometry. Gravitational interaction between a planet and its parent star or moon exerts a torque on the planet and forces its latitudinal libration which drives uid motion in non-spherical planetary cores via viscous and topographic coupling between the planetary mantle and uid core. We shall present an asymptotic theory { a mathematical solution of the Navior-Stokes solution in spheroidal geometry with small viscosity { describing the uid motion driven by latitudinal libration. We shall also present an e cient nite element method for simulating nonlinear ows in latitudinally librating, triaxial ellipsoidal cavities with stability properties and error estimates of the time-dependent nite element solution. | - |
dc.language | eng | - |
dc.relation.ispartof | International Conference on Scientific Computing 2012 | - |
dc.title | Fluid motion in a triaxial ellipsoidal cavity driven by libration | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Chan, KH: mkhchan@hku.hk | - |
dc.identifier.authority | Chan, KH=rp00664 | - |
dc.identifier.hkuros | 202913 | - |
dc.identifier.spage | 41 | - |
dc.identifier.epage | 41 | - |