DUMON, Antoine; ALLERY, Cyrille; AMMAR, Amine

doi:10.1080/10407790.2012.724991

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DUMON, Antoine
Laboratoire des Sciences de l'Ingénieur pour l'Environnement - UMR 7356 [LaSIE]

ALLERY, Cyrille
Laboratoire des Sciences de l'Ingénieur pour l'Environnement - UMR 7356 [LaSIE]

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

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Numerical Heat Transfer, Part B: Fundamentals An International Journal of Computation and Methodology. 2013-01, vol. 63, n° 1, p. 18-43

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The aim of this study is to apply proper generalized decomposition (PGD) to solve mixed-convection problems with and without mass transport in a two dimensional lid-driven cavity. PGD is an iterative reduced order model approach which consists of solving a partial differential equation while seeking the solution in separated form. Comparisons with results in the literature and with results from a standard solver are make. For the case of a mixed-convection problem without mass transfer, three Richardson numbers are considered, Ri=0.1, Ri=1, and Ri=10. In this case, PGD is seven times faster than the standard solver with Ri=10 with a similar accuracy. For the case with mass transfer, simulations are done with different Lewis numbers, Le=5, Le=25, and Le=50, and with different value of the ratio N between the solutal and the thermal Grashoff numbers. In this case, too, PGD is ten times faster than the standard solver.< Réduire

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Simulation

Heat transport

Mass transport

Proper generalized decomposition

PGD

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Simulation of Heat and Mass Transport in a Square Lid-Driven Cavity with Proper Generalized Decomposition (PGD)

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