Physics
Scientific paper
Dec 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009agufm.p44a..05w&link_type=abstract
American Geophysical Union, Fall Meeting 2009, abstract #P44A-05
Physics
[1507] Geomagnetism And Paleomagnetism / Core Processes, [1510] Geomagnetism And Paleomagnetism / Dynamo: Theories And Simulations
Scientific paper
Currently considerable effort and resources are being devoted to studies of Mercury, the Moon and Europa. Measuring the libration of these bodies can provide significant knowledge about their internal structures and physical properties; see Williams et al., 2001, Peale et al., 2002, Wu et al., 2007. To interpret such observations, it is important to understand better how libration affects the motion of the fluid in their interiors. To this end, Noir et al. (2009) investigated, via laboratory experiments and numerical simulations, the flow in a fluid filling a rotating spherical cavity driven by an axial oscillation of the container about a diameter. More realistically, the cavity is better represented by a triaxial ellipsoid. We may then distinguish between topographic and axisymmetricli libration. The latter refers to libration about a symmetry axis of the container which is therefore only viscously coupled to the fluid. In topographic libration, pressure forces on the boundary also affect the fluid motions in the cavity. We describe results from preliminary studies of topographic libration obtained through numerical simulation of incompressible fluid motion in an oblate spheroidal cavity with a libration axis perpendicular to the symmetry axis of the container. The computer code is a modification of one recently developed to study precessionally-driven flows in a spheroidal body of fluid (Wu and Roberts, 2009). It advances the flow in time using finite differences on overlapping grids; in this way the numerical difficulty known as the pole problem, is completely avoided.
Roberts Paul H.
Wu Congjun
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