Simulation of multiphase porous media flows with minimizing movement and finite volume schemes - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue European Journal of Applied Mathematics Année : 2019

Simulation of multiphase porous media flows with minimizing movement and finite volume schemes

Résumé

The 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.
Fichier principal
Vignette du fichier
CGLM_preprint.pdf (7.86 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01700952 , version 1 (05-02-2018)

Identifiants

Citer

Clément Cancès, Thomas Gallouët, Maxime Laborde, Léonard Monsaingeon. Simulation of multiphase porous media flows with minimizing movement and finite volume schemes. European Journal of Applied Mathematics, 2019, 30 (6), pp.1123-1152. ⟨10.1017/S0956792518000633⟩. ⟨hal-01700952⟩
412 Consultations
157 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More