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Numerical studies of thermal convection with temperature-and pressure-dependent viscosity at extreme viscosity contrasts

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posted on 2022-08-25, 13:31 authored by Tania S Khaleque, Andrew FowlerAndrew Fowler, P D Howell, Michael VynnyckyMichael Vynnycky
Motivated by convection of planetary mantles, we consider a mathematical model for Rayleigh-Benard 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. (C) 2015 AIP Publishing LLC.

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Publication

Physics of Fluids;27, 076603

Publisher

American Institute of Physics

Note

peer-reviewed

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SFI

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Copyright 2015 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following 'Numerical studies of thermal convection with temperature-and pressure-dependent viscosity at extreme viscosity contrasts' appeared in Physics of Fluids;27, 076603 and may be found at http://dx.doi.org/10.1063/1.4923061

Language

English

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