Author
Khaleque, T
Fowler, A
Howell, P
Vynnycky, M
Journal title
Physics of Fluids
DOI
10.1063/1.4923061
Issue
7
Volume
27
Last updated
2024-03-24T11:22:45.94+00:00
Abstract
<jats:p>Motivated by convection of planetary mantles, we consider a mathematical model for Rayleigh-Bénard convection in a basally heated layer of a fluid whose viscosity depends strongly on temperature and pressure, defined in an Arrhenius form. The model is solved numerically for extremely large viscosity variations across a unit aspect ratio cell, and steady solutions for temperature, isotherms, and streamlines are obtained. To improve the efficiency of numerical computation, we introduce a modified viscosity law with a low temperature cutoff. We demonstrate that this simplification results in markedly improved numerical convergence without compromising accuracy. Continued numerical experiments suggest that narrow cells are preferred at extreme viscosity contrasts, and this conclusion is supported by a linear stability analysis.</jats:p>
Symplectic ID
535615
Favourite
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Publication type
Journal Article
Publication date
01 Jul 2015
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