MULTISCALE MODELING OF POROUS MEDIA
Paper i proceeding, 2010

Homogenization of flow in porous media is studied. The continuity equation in conjunction with Darcy’s law as a constitutive relation on the macroscale, where the permeability is a function of the pressure gradient, is applied to a macroscopic domain. On the heterogenous mesoscale, a Stokes flow problem is formulated on a Representative Volume Element with a prescribed pressure gradient and suitable boundary condition. The numerical procedure for finite element simulations of the two-scale problem is outlined and illustrated by a few example problems.

computational homogenization

porous media

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Författare

Carl Sandström

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Fredrik Larsson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Håkan Johansson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Kenneth Runesson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Proceedings of NSCM-23, Anders Eriksson och Gunnar Tibert, Nordic Seminar on Computational Mechanics, Sockholm, 21-22 October 2010

0348-467X (ISSN)

Vol. 2010 177-180

Ämneskategorier

Maskinteknik

Styrkeområden

Materialvetenskap