Author:
Chainais-Hillairet Claire,Merlet Benoît,Zurek Antoine
Abstract
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.
Subject
Applied Mathematics,Modeling and Simulation,Numerical Analysis,Analysis,Computational Mathematics
Cited by
2 articles.
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