Computer Science
Scientific paper
Nov 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987e%26psl..86...93m&link_type=abstract
Earth and Planetary Science Letters (ISSN 0012-821X), vol. 86, no. 1, Nov. 1987, p. 93-104. Research supported by the Minnesota
Computer Science
27
Earth Mantle, Geodynamics, Rayleigh Number, Spherical Shells, Aspect Ratio, Time Dependence
Scientific paper
The aim of this work was to check the possibility of coexistence, with Rayleigh numbers relevant for the earth's lower mantle, of a large-scale convective circulation in the mantle with time-dependent boundary layer instabilities. Calculations were performed, for Rayleigh numbers up to several hundred times the critical value (Rc), of axisymmetrical convection in a spherical shell with an aspect ratio relevant for the earth's lower mantle, considering both bottom-heated and internal heated cases. The results show that convection is chaotic, in this particular geometry, even for Rayleigh numbers 200 times critical. Aperiodic boundary layer instabilities were found to be incapable of breaking up the large-scale flow, owing to the shear of the global circulation.
Machetel Philippe
Yuen David A.
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