Convergence of a finite volume scheme for a parabolic system with a free boundary modeling concrete carbonation - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2018

Convergence of a finite volume scheme for a parabolic system with a free boundary modeling concrete carbonation

Résumé

In this paper we define and study a finite volume scheme for a concrete carbonation model proposed by Aiki and Muntean in [Adv. Math. Sci. Appl. 19 (2009) 109–129]. The model consists in a system of two weakly coupled parabolic equations in a varying domain whose length is governed by an ordinary differential equation. The numerical sheme is obtained by a Euler discretisation in time and a Scharfetter-Gummel discretisation in space. We establish the convergence of the scheme. As a by-product, we obtain existence of a solution to the model. Finally, some numerical experiments show the efficiency of the scheme.
Fichier principal
Vignette du fichier
m2an170039.pdf (809.1 Ko) Télécharger le fichier
Origine Publication financée par une institution
Loading...

Dates et versions

hal-02922751 , version 1 (27-02-2017)
hal-02922751 , version 2 (05-12-2018)
hal-02922751 , version 3 (26-08-2020)

Identifiants

Citer

Claire Chainais-Hillairet, Benoît Merlet, Antoine Zurek. Convergence of a finite volume scheme for a parabolic system with a free boundary modeling concrete carbonation. ESAIM: Mathematical Modelling and Numerical Analysis, 2018, 52 (2), pp.457-480. ⟨10.1051/m2an/2018002⟩. ⟨hal-02922751v3⟩
752 Consultations
375 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More