Non-incremental transient solution of the Rayleigh–Bénard convection model by using the PGD
Article dans une revue avec comité de lecture
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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Parametric solution of the Rayleigh-Benard convection model by using the PGD Application to nanofluids Article dans une revue avec comité de lectureAGHIGHI, Mohammad Saeid; AMMAR, Amine; METIVIER, Christel; CHINESTA, Francisco (Emerald, 2015)Purpose – The purpose of this paper is to focus on the advanced solution of the parametric non-linear model related to the Rayleigh-Benard laminar flow involved in the modeling of natural thermal convection. This flow is ...
Article dans une revue avec comité de lectureAGHIGHI, Mohammad Saeid; AMMAR, Amine; METIVIER, Christel; GHARAGOZLU, M. (Elsevier, 2018)This study aims at investigating numerically the Rayleigh-Bénard Convection (RBC) in viscoplastic fluids. A Casson fluid is considered in a bidimensional square cavity heated from below. The effects of the dimensionless ...
Article dans une revue avec comité de lectureAGHIGHI, Mohammad Saeid; AMMAR, Amine (Emerald, 2017)Purpose The purpose of this paper is to analyze two-dimensional steady-state Rayleigh–Bénard convection within rectangular enclosures in different aspect ratios filled with yield stress fluids obeying the Herschel–Bulkley ...
Article dans une revue avec comité de lectureKAZEMZADEH-PARSI, Mohammad Javad; AMMAR, Amine; DUVAL, Jean-Louis; CHINESTA, Francisco (2021)Space separation within the Proper Generalized Decomposition—PGD—rationale allows solving high dimensional problems as a sequence of lower dimensional ones. In our former works, different geometrical transformations were ...
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