AGHIGHI, Mohammad Saeid; AMMAR, Amine; METIVIER, Christel; NORMANDIN, Magdeleine; CHINESTA, Francisco

doi:10.1016/j.jnnfm.2012.11.007

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AGHIGHI, Mohammad Saeid
Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]

AMMAR, Amine
Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]

METIVIER, Christel
Laboratoire de rhéologie [LR]

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Journal of Non-Newtonian Fluid Mechanics. 2013, vol. 200, p. 65-78

Elsevier

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This paper focuses on the non-incremental solution of transient coupled non-linear models, in particular the one related to the Rayleigh-Benard 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.< Leer menos

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Rayleigh–Bénard model

Power-law fluids

Model reduction

Non-incremental solution

Proper Generalized Decomposition

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Non Incremental Transient Solution of the Rayleigh-Bénard Convection Model Using the PGD

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