VARIATIONALLY CONSISTENT HOMOGENIZATION OF STOKES FLOW IN POROUS MEDIA
Journal article, 2013

Seepage through a strongly heterogeneous material, consisting of open saturated pores, is modeled as a Stokes flow contained in a rigid matrix. Through homogenization of the problem, a two-scale formulation is derived. The subscale problem is that of a Stokes flow whereas the macroscale problem pertains to a Darcy flow. The prolongation of the macroscale Darcy flow fulfills the variational consistent macrohomogeniety condition and is valid for both linear and nonlinear subscale flows. The subscale problem is solved using the finite element method. Numerical results concerning both linear and nonlinear flow are presented.

porous media

multiscale modeling

Stokes flow

Darcy flow

computational homogenization

Author

Carl Sandström

Chalmers, Applied Mechanics, Material and Computational Mechanics

Fredrik Larsson

Chalmers, Applied Mechanics, Material and Computational Mechanics

International Journal for Multiscale Computational Engineering

1543-1649 (ISSN)

Vol. 11 2 117-138

Subject Categories

Materials Engineering

DOI

10.1615/IntJMultCompEng.2012004069

More information

Created

10/7/2017