A numerical scheme for a kinetic model for mixtures in the diffusive limit using the moment method - Archive ouverte HAL Access content directly
Journal Articles Numerical Methods for Partial Differential Equations Year : 2019

A numerical scheme for a kinetic model for mixtures in the diffusive limit using the moment method

Abstract

In this article, we consider a multi-species kinetic model which leads to the Maxwell-Stefan equations under a standard diffusive scaling (small Knudsen and Mach numbers). We propose a suitable numerical scheme which approximates both the solution of the kinetic model in rarefied regime and the one in the diffusion limit. We prove some a priori estimates (mass conservation and nonnegativity) and well-posedness of the discrete problem. We also present numerical examples where we observe the asymptotic-preserving behavior of the scheme.
Fichier principal
Vignette du fichier
Bondesan-Boudin-Grec.pdf (949.65 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01727725 , version 1 (09-03-2018)

Identifiers

Cite

Andrea Bondesan, Laurent Boudin, Bérénice Grec. A numerical scheme for a kinetic model for mixtures in the diffusive limit using the moment method. Numerical Methods for Partial Differential Equations, 2019, 35 (3), pp.1184-1205. ⟨10.1002/num.22345⟩. ⟨hal-01727725⟩
417 View
292 Download

Altmetric

Share

Gmail Facebook X LinkedIn More