A three-dimensional staggered finite element approach for random parametric modeling of thermo-hygral coupled phenomena in porous media

F. Meftah, S. Dal Pont, B. A. Schrefler

Research output: Contribution to journalArticle

17 Scopus citations

Abstract

The aim of this paper is to present a three-dimensional (3D) finite element modeling of heat and mass transfer phenomena in partially saturated open porous media with random fields of material properties. Randomness leads to transfer processes within the porous medium that naturally need a full 3D modeling for any quantitative assessment of these processes. Nevertheless, the counterpart of 3D modeling is a significant increase in computations cost. Therefore, a staggered solution strategy is adopted which permits to solve the equations sequentially. This appropriate partitioning reduces the size of the discretized problem to be solved at each time step. It is based on a specific iterative algorithm to account for the interaction between all the transfer processes. Accordingly, a suitable linearization of mass convective boundary conditions, consistent with the staggered algorithm, is also derived. After some validation tests, the 3D numerical model is used for studying the drying process of a cementitious material with regard to its intrinsic permeability randomness.

Original languageEnglish (US)
Pages (from-to)574-596
Number of pages23
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Volume36
Issue number5
DOIs
StatePublished - Apr 10 2012

Keywords

  • 3D finite element
  • Porous media
  • Random properties
  • Staggered algorithm
  • Thermo-hygral behavior

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Materials Science(all)
  • Mechanics of Materials
  • Computational Mechanics

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