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Transp Porous Med (2018) 121:665–702

https://doi.org/10.1007/s11242-017-0980-3

On the Solution of Coupled Heat and Moisture Transport

in Porous Material

Julien Berger1·Suelen Gasparin2,3·

Denys Dutykh3·Nathan Mendes2

Received: 10 July 2017 / Accepted: 28 November 2017 / Published online: 13 December 2017

© Springer Science+Business Media B.V., part of Springer Nature 2017

Abstract Comparisons of experimental observation of heat and moisture transfer through

porous building materials with numerical results have been presented in numerous studies

reported in the literature. However, some discrepancies have been observed, highlighting

underestimation of sorption process and overestimation of desorption process. Some studies

intend to explain the discrepancies by analyzing the importance of hysteresis effects as well

as carrying out sensitivity analyses on the input parameters as convective transfer coefﬁcients.

This article intends to investigate the accuracyand efﬁciency of the coupled solution by adding

advective transfer of both heat and moisture in the physical model. In addition, the efﬁcient

Scharfetter and Gummel numerical scheme is proposed to solve the system of advection–

diffusion equations, which has the advantages of being well-balanced and asymptotically

preserving. Moreover, the scheme is particularly efﬁcient in terms of accuracy and reduction

of computational time when using large spatial discretization parameters. Several linear and

nonlinear cases are studied to validate the method and highlight its speciﬁc features. At the

end, an experimental benchmark from the literature is considered. The numerical results

are compared to the experimental data for a pure diffusive model and also for the proposed

model. The latter presents better agreement with the experimental data. The inﬂuence of

the hysteresis effects on the moisture capacity is also studied, by adding a third differential

equation.

Electronic supplementary material The online version of this article (https://doi.org/10.1007/s11242-

017-0980- 3) contains supplementary material, which is available to authorized users.

BJulien Berger

julien.berger@univ-smb.fr

1LOCIE, UMR 5271, CNRS, Université Savoie Mont Blanc, 73000 Chambéry, France

2Thermal Systems Laboratory, Mechanical Engineering Graduate Program, Pontiﬁcal Catholic

University of Paraná, Rua Imaculada Conceição, 1155, Curitiba, Paraná CEP 80215-901, Brazil

3LAMA, UMR 5127 CNRS, Université Savoie Mont Blanc, Campus Scientiﬁque, 73376

Le Bourget-du-Lac Cedex, France

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