An efficient numerical model for liquid water uptake in porous material and its parameter estimation
Résumé
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.
Domaines
Mécanique des fluides [physics.class-ph] Dynamique des Fluides [physics.flu-dyn] Physique Numérique [physics.comp-ph] Physique Classique [physics.class-ph] Equations aux dérivées partielles [math.AP] Analyse numérique [math.NA] Analyse numérique [cs.NA] Milieux fluides et réactifs Thermique [physics.class-ph]Origine | Fichiers produits par l'(les) auteur(s) |
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