Physics
Scientific paper
Jan 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000pepi..117...51s&link_type=abstract
Physics of the Earth and Planetary Interiors, Volume 117, Issue 1-4, p. 51-61.
Physics
7
Scientific paper
A dynamical model is proposed for the elliptical instability that has been reported by Aldridge et al. [Aldridge, K.D., Seyed-Mahmoud, B., Henderson, G.A., van Wijngaarden, W., 1997. Elliptical instability of the Earth's fluid core. Phys. Earth Planet. Inter., 103, 365-374] in connection with recent experiments on an ellipsoidal shell of rotating fluid. The frequencies and growth rates of the instability are obtained numerically by means of a Galerkin method that is based upon the normal modes of the contained fluid. A finite-element method has been employed to approximately solve the ill-posed Poincaré problem for the normal modes. The numerical results for a special case are compared with their analytical counterparts, and the agreement is to within 0.1% for shells of small ellipticity. Results are presented for other cases, including some where the boundary perturbation is allowed to rotate slowly with respect to the inertial frame. The conclusion is that such investigations are of geophysical interest, since tidal forcing might be sufficient to excite an elliptical instability of the fluid outer core of the Earth and thus contribute to the geomagnetic field.
Aldridge Keith
Henderson Grant
Seyed-Mahmoud Behnam
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