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Non-incremental transient solution of the Rayleigh–Bénard convection model by using the PGD

Article dans une revue avec comité de lecture
Author
AGHIGHI, Mohammad Saeid
ccAMMAR, Amine
211916 Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
METIVIER, Christel
705 Laboratoire de rhéologie [LR]
NORMANDIN, Magdeleine
705 Laboratoire de rhéologie [LR]
ccCHINESTA SORIA, Francisco
10921 Institut de Recherche en Génie Civil et Mécanique [GeM]

URI
http://hdl.handle.net/10985/10265
DOI
10.1016/j.jnnfm.2012.11.007
Date
2013
Journal
Journal of Non-Newtonian Fluid Mechanics

Abstract

This paper focuses on the non-incremental solution of transient coupled non-linear models, in particular the one related to the Rayleigh–Bénard flow problem that models natural thermal convection. For this purpose we are applying the so-called Proper Generalized Decomposition that proceeds by performing space-time separated representations of the different unknown fields involved by the flow model. This non-incremental solution strategy allows significant computational time savings and opens new perspectives for introducing some flow and/or fluid parameters as extra-coordinates.

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