A two-scale finite element formulation of Stokes flow in porous media
Artikel i vetenskaplig tidskrift, 2013

Seepage through saturated porous material with an open pore system is modeled as a non-linear Stokes flow through a rigid matrix. Based on variationally consistent homogenization, the resulting macroscale problem becomes a Darcy-type flow. The prolongation of the Darcy flow fulfills a macrohomogeneity condition, which in a Galerkin context implies a symmetric macroscale problem. The homogenization is of 1st order and periodic boundary conditions are adopted on a Representative Volume Element. A nonlinear nested multiscale technique, in which the subscale problem is used as a constitutive model, is devised. In the presented numerical investigation, the effects of varying physical parameters as well as of the discretization are considered. In particular, it is shown that the two-scale results agree well with those of the fully resolved fine-scale problem.

Darcy flow

Stokes flow

Porous media

Computational homogenization

Multiscale modeling

Författare

Carl Sandström

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Fredrik Larsson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Kenneth Runesson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Håkan Johansson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Computer Methods in Applied Mechanics and Engineering

0045-7825 (ISSN)

Vol. 261 96-104

Ämneskategorier

Maskinteknik

DOI

10.1016/j.cma.2013.03.025