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

Ainagul Jumabekova, Julien Berger, Denys Dutykh, Hervé Le Meur, Aurélie Foucquier, Mickael Pailha, Christophe Ménézo

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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.

Original languageBritish English
Pages (from-to)110-136
Number of pages27
JournalNumerical Heat Transfer; Part A: Applications
Volume75
Issue number2
DOIs
StatePublished - 17 Jan 2019

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