Definition of the Rayleigh number for geodynamo simulation

Details Definition of the Rayleigh number for geodynamo simulation Definition of the Rayleigh number for geodynamo simulation

Dec 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001pepi..128...13k&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 128, Issue 1-4, p. 13-24.

Physics

10

Scientific paper

A single nondimensional parameter, the Rayleigh number, suffices to characterize the onset of convection in a fluid layer of constant thickness. Geodynamo simulations concern much more complicated situations in which the fluid motions occur in a rapidly rotating sphere or spherical shell. The governing equations can be scaled in more than one way, and this leads to several alternative definitions of the Rayleigh number. Immediate comparisons between results that use different scalings and different definitions of the Rayleigh number become impossible, and confusions can arise. In this paper, ways of avoiding ambiguity are described, and a preferred definition of the Rayleigh number is proposed that is particularly well-suited for geodynamo simulations.

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