How to accurately predict moisture front?

Abstract : When comparing measurements to numerical simulations of moisture transfer through porous materials a rush of the experimental moisture front is commonly observed in several works shown in the literature, with transient models that consider only the diffusion process. Thus, to overcome the discrepancies between the experimental and the numerical models, this paper proposes to include the moisture advection transfer in the governing equation. To solve the advection-diffusion differential equation, it is first proposed two efficient numerical schemes and their efficiencies are investigated for both linear and nonlinear cases. The first scheme, Scharfetter-Gummel (SG), presents a Courant-Friedrichs-Lewy (CFL) condition but is more accurate and faster than the second scheme, the well-known Crank-Nicolson approach. Furthermore, the SG scheme has the advantages of being well-balanced and asymptotically preserved. Then, to conclude, results of the convective moisture transfer problem obtained with the SG numerical scheme are compared to experimental data from the literature. The inclusion of an advective term in the model may clearly lead to better results than purely diffusive models.
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Contributeur : Denys Dutykh <>
Soumis le : dimanche 18 décembre 2016 - 11:42:40
Dernière modification le : samedi 24 décembre 2016 - 01:02:03


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Distributed under a Creative Commons Paternité - Pas d'utilisation commerciale - Partage selon les Conditions Initiales 4.0 International License


  • HAL Id : hal-01419018, version 1
  • ARXIV : 1612.07649



Julien Berger, Suelen Gasparin, Denys Dutykh, Nathan Mendes. How to accurately predict moisture front?. 30 pages, 15 figures, 44 references. Other author's papers can be downloaded at http://www.denys-.. 2016. <hal-01419018>



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