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.

Keywords

Bibliographic record

BibTeX Citation

@article{Jumabekova2019efficientnumerical,
  author = {Jumabekova, A. and Berger, J. and Dutykh, D. and Le Meur, H. and Foucquier, A. and Pailha, M. and Ménézo, Ch.},
  title = {An efficient numerical model for liquid water uptake in porous material and its parameter estimation},
  journal = {Numerical Heat Transfer, Part A: Applications},
  year = {2019},
  volume = {75},
  number = {2},
  pages = {110--136},
  doi = {10.1080/10407782.2018.1562739},
  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.},
  keywords = {parameter estimation problem, water uptake process, porous material, advection-diffusion equation with gravity flux, Scharfetter-Gummel numerical scheme}
}