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Section: New Results

Numerical approximation of a model for concrete carbonation

In [47], Claire Chainais-Hillairet, Benoît Merlet and Antoine Zurek introduce and study a finite volume scheme for a concrete carbonation model proposed by Aiki and Muntean in  [55]. This 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 scheme is obtained by a Euler discretization in time and a Scharfetter-Gummel discretization in space. The convergence of the scheme is established and the existence of a solution to the model is obtained as a by product. Finally, some numerical experiments are performed to show the efficiency of the scheme. The main results of this study are also concisely exposed in [34].