Physics
Scientific paper
Dec 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010agufm.p21a1585z&link_type=abstract
American Geophysical Union, Fall Meeting 2010, abstract #P21A-1585
Physics
[1213] Geodesy And Gravity / Earth'S Interior: Dynamics, [5430] Planetary Sciences: Solid Surface Planets / Interiors
Scientific paper
A planetary body can be deformed by both tidal force and rotational effect. In consequence, the cavity of a planetary fluid core is usually in the shape of a triaxial ellipsoid {x2}/{a^2}+ {y2}/{b^2}+ {z2}/{c^2}=1, where a, b and c are three different semi-axes and z is in the direction of rotation. Gravitational interaction between a planet and its parent star can force longitudinal libration by exerting an axial torque on the planet. When the equatorial eccentricity e is small, E1/4 << e=√ {a2-b^2}/a^2 << 1, where E is the Ekman number, we derive an analytical solution describing librationally driven flows in the mantle frame of reference valid for any librating frequency. When the equatorial eccentricity e is arbitrary, we carry out direct numerical simulation of the fully nonlinear problem in the same frame of reference, using an EBE (Element-By-Element) finite element method. A satisfactory agreement between the analytical solution and the nonlinear numerical simulation is achieved for small librating amplitude and new interesting nonlinear phenomena are revealed for large librating amplitude.
Chan Kenneth
Liao Xia
Zhang Kaicheng
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