A parallel computer implementation of the Asymptotic Numerical Method to study thermal convection instabilities |
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Authors: | Marc Medale Bruno Cochelin |
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Institution: | 1. IUSTI, UMR 6595 CNRS-Université Aix-Marseille, 5 rue Enrico Fermi, Technopole de Château-Gombert, 13453 Marseille Cedex 13, France;2. LMA, UPR 7051 CNRS, 38 rue Frédéric Joliot Curie, Technopole de Château-Gombert, 13451 Marseille Cedex 20, France |
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Abstract: | We have developed a numerical model to efficiently compute steady-state combined buoyancy and thermocapillary convection solutions. It features a parallel computer implementation of an Asymptotic Numerical Method to perform steady-state path-following and locate bifurcation points in problems involving large size algebraic systems, up to few million degrees of freedom. The model has been first validated on a problem for which a reference solution exists and then is used to analyse the influence of the container size and shape on Rayleigh–Bénard–Marangoni convection and its related cellular pattern. |
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Keywords: | 02 70 Dh 47 10 Ad 47 20 Ky 47 11 &minus j 47 20 Bp 47 20 Dr |
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