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dc.contributor.authorCancès, Clément
dc.contributor.authorGallouët, Thomas
dc.contributor.authorLaborde, Maxime
dc.contributor.authorMonsaingeon, Léonard
dc.date.accessioned2018-09-04T11:47:50Z
dc.date.available2018-09-04T11:47:50Z
dc.date.issued2018
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17939
dc.language.isoenen
dc.subjectMultiphase porous media flowsen
dc.subjectWasserstein gradient flowen
dc.subjectminimizing movement schemeen
dc.subjectAugmented Lagrangian methoden
dc.subjectFinite Volumesen
dc.subject.ddc515en
dc.titleSimulation of multiphase porous media flows with minimizing movement and finite volume schemesen
dc.typeDocument de travail / Working paper
dc.description.abstractenThe Wasserstein gradient flow structure of the PDE system governing multiphase flows in porous media was recently highlighted in [C. Cancès, T. O. Gallouët, and L. Monsain-geon, Anal. PDE 10(8):1845–1876, 2017]. The model can thus be approximated by means of the minimizing movement (or JKO) scheme, that we solve thanks to the ALG2-JKO scheme proposed in [J.-D. Benamou, G. Carlier, and M. Laborde, ESAIM Proc. Surveys, 57:1–17, 2016]. The numerical results are compared to a classical upstream mobility Finite Volume scheme, for which strong stability properties can be established.en
dc.identifier.citationpages22en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01700952en
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2018-02
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2018-09-04T11:40:38Z
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