Finite Volumes for the Stefan-Maxwell Cross-Diffusion System

Cancès, Clément; Ehrlacher, Virginie; Monasse, Laurent

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1093/imanum/drad032

Title :

Finite Volumes for the Stefan-Maxwell Cross-Diffusion System

Author(s) :

Cancès, Clément [Auteur]

Reliable numerical approximations of dissipative systems [RAPSODI]
Ehrlacher, Virginie [Auteur]
MATHematics for MatERIALS [MATHERIALS]
Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique [CERMICS]
Monasse, Laurent [Auteur]
COmplex Flows For Energy and Environment [COFFEE]

Journal title :

IMA Journal of Numerical Analysis

Publisher :

Oxford University Press (OUP)

Publication date :

2023-06-05

ISSN :

0272-4979

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]

English abstract : [en]

The aim of this work is to propose a provably convergent finite volume scheme for the so-called Stefan-Maxwell model, which describes the evolution of the composition of a multi-component mixture and reads as a cross-diffusion ...
Show more >The aim of this work is to propose a provably convergent finite volume scheme for the so-called Stefan-Maxwell model, which describes the evolution of the composition of a multi-component mixture and reads as a cross-diffusion system. The scheme proposed here relies on a two-point flux approximation, and preserves at the discrete level some fundamental theoretical properties of the continuous models, namely the non-negativity of the solutions, the conservation of mass and the preservation of the volume-filling constraints. In addition, the scheme satisfies a discrete entropy-entropy dissi-pation relation, very close to the relation which holds at the continuous level. In this article, we present this scheme together with its numerical analysis, and finally illustrate its behaviour with some numerical results.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Systèmes de diffusion croisée sur des domaines en mouvement

Collections :