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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBENDAHMANE, Mostafa
hal.structure.identifierLaboratoire de Mathématiques Jean Leray [LMJL]
dc.contributor.authorKHALIL, Ziad
hal.structure.identifierÉcole Centrale de Nantes [ECN]
dc.contributor.authorSAAD, Mazen
dc.date.accessioned2024-04-04T03:06:26Z
dc.date.available2024-04-04T03:06:26Z
dc.date.created2014
dc.date.issued2014-01
dc.identifier.issn0218-2025
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193334
dc.description.abstractEnThis paper deals with construction and convergence analysis of a finite volume scheme for compressible/incompressible (gas-water) flows in porous media. The convergence properties of finite volume schemes or finite element scheme are only known for incompressible fluids. We present a new result of convergence in a two or three dimensional porous medium and under the only consideration that the density of gas depends on global pressure. In comparison with incompressible fluid, compressible fluids requires more powerful techniques; especially the discrete energy estimates are not standard.
dc.description.sponsorshipCentre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
dc.language.isoen
dc.publisherWorld Scientific Publishing
dc.subject.enPorous media, finite volume, compressible flow
dc.title.enCONVERGENCE OF A FINITE VOLUME SCHEME FOR GAS–WATER FLOW IN A MULTI-DIMENSIONAL POROUS MEDIUM
dc.typeArticle de revue
dc.identifier.doi10.1142/S0218202513500498
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.journalMathematical Models and Methods in Applied Sciences
bordeaux.page145 - 185
bordeaux.volume24
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue01
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01755298
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01755298v1
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