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

Article dans une revue avec comité de lecture
Auteur
DUMON, Antoine
185979 Laboratoire des Sciences de l'Ingénieur pour l'Environnement - UMR 7356 [LaSIE]
ALLERY, Cyrille
185979 Laboratoire des Sciences de l'Ingénieur pour l'Environnement - UMR 7356 [LaSIE]
ccAMMAR, Amine
211916 Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]

URI
http://hdl.handle.net/10985/10267
DOI
10.1080/10407790.2012.724991
Date
2013
Journal
Numerical Heat Transfer, Part B Fundamentals

Résumé

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.

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  • Laboratoire Angevin de Mécanique, Procédés et InnovAtion (LAMPA)

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  • Proper Generalized Decomposition method for incompressible Navier–Stokes equations with a spectral discretization 
    Article dans une revue avec comité de lecture
    DUMON, Antoine; ALLERY, Cyrille; ccAMMAR, Amine (Elsevier, 2013)
    Proper Generalized Decomposition (PGD) is a method which consists in looking for the solution to a problem in a separate form. This approach has been increasingly used over the last few years to solve mathematical problems. ...
  • Proper general decomposition (PGD) for the resolution of Navier–Stokes equations 
    Article dans une revue avec comité de lecture
    DUMON, Antoine; ALLERY, Cyrille; ccAMMAR, Amine (Elsevier, 2011)
    In this work, the PGD method will be considered for solving some problems of fluid mechanics by looking for the solution as a sum of tensor product functions. In the first stage, the equations of Stokes and Burgers will ...
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    Article dans une revue avec comité de lecture
    ccRUNACHER, Antoine; ccKAZEMZADEH-PARSI, Mohammad-Javad; ccDI LORENZO, Daniele; CHAMPANEY, Victor; HASCOET, Nicolas; ccAMMAR, Amine; ccCHINESTA SORIA, Francisco (2023)
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    Article dans une revue avec comité de lecture
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