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A parallel computer implementation of the Asymptotic Numerical Method to study thermal convection instabilities

A parallel computer implementation of the asymptotic numerical method to study thermal convection instabilities
descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2009 English Publisher:Elsevier BVJournal:Journal of Computational Physics, volume 228, pages 8,249-8,262 (issn: 0021-9991, Copyright policy )
Authors: Medale, Marc; Cochelin, Bruno;

doi: 10.1016/j.jcp.2009.07.032

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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Keywords

[PHYS.MECA.STRU] Physics [physics]/Mechanics [physics]/Structural mechanics [physics.class-ph], Asymptotic methods, singular perturbations applied to problems in fluid mechanics, Path-following or continuation methods Direct solver for large scale algebraic systems Parallel computer implementation Rayleigh–Bénard–Marangoni instability, [SPI.MECA.MEFL] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph], Parallel numerical computation, [SPI.MECA] Engineering Sciences [physics]/Mechanics [physics.med-ph], Absolute and convective instability and stability in hydrodynamic stability, path-following or continuation methods, parallel computer implementation, direct solver for large scale algebraic systems, Rayleigh-Bénard-Marangoni instability, [PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], [SPI.MECA.STRU] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph]

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
41
Top 10%
Top 10%
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