Statistics – Computation
Scientific paper
Apr 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992georl..19..737z&link_type=abstract
Geophysical Research Letters (ISSN 0094-8276), vol. 19, no. 8, April 24, 1992, p. 737-740. Research supported by Leverhulme Trus
Statistics
Computation
2
Computational Fluid Dynamics, Core Flow, Earth Core, Inertia, Oscillating Flow, Thermal Stability, Free Convection, Perturbation Theory, Poincare Spheres, Spherical Shells
Scientific paper
Solutions of the Poincare equation in a full sphere are examined, and it is shown that the inertial oscillation with the simplest spatial latitudinal structure is trapped in the equatorial boundary region. The effects of an inner sphere are shown to be negligibly small. It is further found that equatorially symmetric inertial waves belong to a particular subclass of thermal instabilities. The selection of a physically realizable inertial mode can thus be understood within the framework of instability theory. A perturbation theory of thermal convection is established on the basis of the Poincare equation.
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