A parallel computer implementation of the asymptotic numerical method to study thermal convection instabilities

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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https://hal.archives-ouvertes.fr/hal-00487339
Contributor : Bruno Cochelin <>
Submitted on : Friday, May 28, 2010 - 4:38:54 PM
Last modification on : Monday, March 4, 2019 - 2:04:04 PM

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Marc Medale, Bruno Cochelin. A parallel computer implementation of the asymptotic numerical method to study thermal convection instabilities. Journal of Computational Physics, Elsevier, 2009, 228 (22), pp.8249-8262. ⟨10.1016/j.jcp.2009.07.032⟩. ⟨hal-00487339⟩

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