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An efficient numerical model for liquid water uptake in porous material and its parameter estimation

Abstract : The goal of this study is to propose an efficient numerical model for the predictions of capillary adsorption phenomena in a porous material. The Scharfetter-Gummel numerical scheme is proposed to solve an advection-diffusion equation with gravity flux. Its advantages such as accuracy, relaxed stability condition, and reduced computational cost are discussed along with the study of linear and nonlinear cases. The reliability of the numerical model is evaluated by comparing the numerical predictions with experimental observations of liquid uptake in bricks. A parameter estimation problem is solved to adjust the uncertain coefficients of moisture diffusivity and hydraulic conductivity.
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https://hal.archives-ouvertes.fr/hal-02047087
Contributor : Denys Dutykh <>
Submitted on : Wednesday, February 27, 2019 - 11:22:09 AM
Last modification on : Monday, December 23, 2019 - 3:50:11 PM
Document(s) archivé(s) le : Tuesday, May 28, 2019 - 12:39:02 PM

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Ainagul Jumabekova, Julien Berger, Denys Dutykh, Hervé Le Meur, Aurélie Foucquier, et al.. An efficient numerical model for liquid water uptake in porous material and its parameter estimation. Numerical Heat Transfer, Part A Applications, Taylor & Francis, 2019, 75 (2), pp.110-136. ⟨10.1080/10407782.2018.1562739⟩. ⟨hal-02047087⟩

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