Simulation of Heat and Mass Transport in a Square Lid-Driven Cavity with Proper Generalized Decomposition (PGD)
| hal.structure.identifier | Laboratoire des Sciences de l'Ingénieur pour l'Environnement - UMR 7356 [LaSIE] | |
| dc.contributor.author | DUMON, Antoine | |
| hal.structure.identifier | Laboratoire des Sciences de l'Ingénieur pour l'Environnement - UMR 7356 [LaSIE] | |
| dc.contributor.author | ALLERY, Cyrille | |
| hal.structure.identifier | Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA] | |
| dc.contributor.author | AMMAR, Amine | |
| dc.date.accessioned | 2021-05-14T09:55:22Z | |
| dc.date.available | 2021-05-14T09:55:22Z | |
| dc.date.issued | 2013-01 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/77687 | |
| dc.description | 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. | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.subject.en | Simulation | |
| dc.subject.en | Heat transport | |
| dc.subject.en | Mass transport | |
| dc.subject.en | Proper generalized decomposition | |
| dc.subject.en | PGD | |
| dc.title.en | Simulation of Heat and Mass Transport in a Square Lid-Driven Cavity with Proper Generalized Decomposition (PGD) | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1080/10407790.2012.724991 | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des structures [physics.class-ph] | |
| bordeaux.journal | Numerical Heat Transfer, Part B: Fundamentals An International Journal of Computation and Methodology | |
| bordeaux.page | 18-43 | |
| bordeaux.volume | 63 | |
| bordeaux.hal.laboratories | Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.institution | INRAE | |
| bordeaux.institution | Arts et Métiers | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01207113 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01207113v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Numerical%20Heat%20Transfer,%20Part%20B:%20Fundamentals%20An%20International%20Journal%20of%20Computation%20and%20Methodology&rft.date=2013-01&rft.volume=63&rft.issue=1&rft.spage=18-43&rft.epage=18-43&rft.au=DUMON,%20Antoine&ALLERY,%20Cyrille&AMMAR,%20Amine&rft.genre=article |
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