Statistics – Computation
Scientific paper
Oct 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011epsc.conf.1053v&link_type=abstract
EPSC-DPS Joint Meeting 2011, held 2-7 October 2011 in Nantes, France. http://meetings.copernicus.org/epsc-dps2011, p.1053
Statistics
Computation
Scientific paper
The method of matched asymptotic expansions is applied for analysis of a generic unsteady threedimensional (3D) thermal model of a rotating and sublimating spherical comet nucleus. The properly generalized Van Dyke's matching rule, accounting for non-linearity of the boundary condition, results in an asymptotic model, which provides accurate description of the temperature field even if the Fourier number Fo based on the nucleus period of revolution is as small as 10. In a large range of conditions, the surface temperature field and the gas production rate are independent of Fo , but determined by a new "rotational" parameter, which serves as measure of the nucleus rotation rate. The accuracy of the asymptotic models is checked by the comparison of the computational results obtained based on the full 3D and asymptotic models. It is found that the asymptotic model is capable for computationally-efficient prediction of the temperature field at arbitrary depth inside a nucleus in a whole range of parameters characteristic for comets in the Solar system.
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