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Comparison of DDFV and DG methods for flow in anisotropic heterogeneous porous media

hal.structure.identifierLaboratoire de Mathématiques Jean Leray [LMJL]
dc.contributor.authorBARON, Vincent
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCOUDIÈRE, Yves
hal.structure.identifierBureau de Recherches Géologiques et Minières [BRGM]
dc.contributor.authorSOCHALA, Pierre
dc.date.accessioned2024-04-04T02:22:00Z
dc.date.available2024-04-04T02:22:00Z
dc.date.created2013-05-29
dc.date.issued2014
dc.identifier.issn1294-4475
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189618
dc.description.abstractEnWe present a preliminary work to simulate gas injection in deep aquifers. Unsteady single-phase flows are considered. We compare Discrete Duality Finite Volume (DDFV) and Discon- tinuous Galerkin (DG) schemes applied to discretize the diffusive term. The second-order Backward Differentiation Formula is used for the time-stepping method. On the one hand, the DDFV methods are easy to implement, ensure a preservation of physical properties and offer superconvergence in the L2 -norm on a regular basis. On the other hand, the DG methods are flexible, allow arbitrary order of accuracy, and their ample theoretical foundation make them a reliable choice for many computational problems. We consider here the Symmetric Weighted Interior Penalty Galerkin method. Accuracy and robustness of these two schemes are tested and compared on various test cases, especially in anisotropic heterogeneous media.
dc.description.sponsorshipCentre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
dc.language.isoen
dc.publisherInstitut Français du Pétrole (IFP)
dc.title.enComparison of DDFV and DG methods for flow in anisotropic heterogeneous porous media
dc.typeArticle de revue
dc.identifier.doi10.2516/ogst/2013157
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.journalOil & Gas Science and Technology - Revue d'IFP Energies nouvelles
bordeaux.page673-686
bordeaux.volume69
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue4
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00829898
hal.version1
hal.popularnon
hal.audienceInternationale
dc.subject.itRichards equation
dc.subject.itfinite volume
dc.subject.itdiscontinuous galerkin
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00829898v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Oil%20&%20Gas%20Science%20and%20Technology%20-%20Revue%20d'IFP%20Energies%20nouvelles&rft.date=2014&rft.volume=69&rft.issue=4&rft.spage=673-686&rft.epage=673-686&rft.eissn=1294-4475&rft.issn=1294-4475&rft.au=BARON,%20Vincent&COUDI%C3%88RE,%20Yves&SOCHALA,%20Pierre&rft.genre=article


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