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VARIATIONALLY CONSISTENT HOMOGENIZATION OF STOKES FLOW IN POROUS MEDIA

Carl Sandström (Institutionen för tillämpad mekanik, Material- och beräkningsmekanik) ; Fredrik Larsson (Institutionen för tillämpad mekanik, Material- och beräkningsmekanik)
International Journal for Multiscale Computational Engineering (1543-1649). Vol. 11 (2013), 2, p. 117-138.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: multiscale modeling, computational homogenization, Stokes flow, Darcy flow, porous media



Denna post skapades 2013-05-13. Senast ändrad 2015-03-30.
CPL Pubid: 176823

 

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Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Material- och beräkningsmekanik

Ämnesområden

Materialteknik

Chalmers infrastruktur

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