Finite Volumes for the Stefan-Maxwell Cross-Diffusion System - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles IMA Journal of Numerical Analysis Year : 2023

Finite Volumes for the Stefan-Maxwell Cross-Diffusion System


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.
Fichier principal
Vignette du fichier
CEM_StefanMaxwell_revised.pdf (706.28 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-02902672 , version 1 (20-07-2020)
hal-02902672 , version 2 (09-01-2023)





Clément Cancès, Virginie Ehrlacher, Laurent Monasse. Finite Volumes for the Stefan-Maxwell Cross-Diffusion System. IMA Journal of Numerical Analysis, 2023, ⟨10.1093/imanum/drad032⟩. ⟨hal-02902672v2⟩
276 View
231 Download



Gmail Facebook Twitter LinkedIn More