Comptes Rendus
no. 2
Partial differential equations/Numerical analysis
Uniform temporal convergence of numerical schemes for miscible flow through porous media
[Convergence uniforme en temps de schémas numériques pour un écoulement miscible en milieu poreux]

Présenté par : the Editorial Board

Kyle S. Talbot1
1 School of Mathematical Sciences, Monash University, Victoria 3800, Australia
Comptes Rendus. Mathématique, Volume 354 (2016) no. 2, pp. 161-165.

La famille de schémas hybrides mimétiques mixtes (HMM) englobe les méthodes volumes finis hybrides, différences finies mimétiques et volumes finis mixtes. Cette note prouve que les schémas HMM, appliqués à un modèle de déplacement incompressible miscible en milieu poreux d'un fluide par un autre, produisent des concentrations approchées qui convergent uniformément vers la concentration exacte.

The Hybrid Mimetic Mixed (HMM) family of schemes contains the Hybrid Finite Volume, Mimetic Finite Difference and Mixed Finite Volume methods. This note proves that HMM schemes, when applied to a model of the miscible displacement of one incompressible fluid by another through a porous medium, produce approximations of the concentration variable that converge uniformly towards the exact concentration.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.11.007
Kyle S. Talbot 1

1 School of Mathematical Sciences, Monash University, Victoria 3800, Australia 
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Kyle S. Talbot. Uniform temporal convergence of numerical schemes for miscible flow through porous media. Comptes Rendus. Mathématique, Volume 354 (2016) no. 2, pp. 161-165. doi : 10.1016/j.crma.2015.11.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.11.007/

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