| 31. |
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| 32. |
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| 33. |
- Sandström, Carl, 1978, et al.
(författare)
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A two-scale finite element formulation of Stokes flow in porous media
- 2013
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Ingår i: Computer Methods in Applied Mechanics and Engineering. - : Elsevier BV. - 0045-7825. ; 261, s. 96-104
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Tidskriftsartikel (refereegranskat)abstract
- 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.
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| 34. |
- Sandström, Carl, 1978, et al.
(författare)
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Homogenization of Stokes Flow in Porous Media
- 2012
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Ingår i: ECCOMAS 2012, European Congress on Computational Methods in Science and Engineering, (1 p. abstract).
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Konferensbidrag (övrigt vetenskapligt/konstnärligt)
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| 35. |
- Sandström, Carl, 1978, et al.
(författare)
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Multiscale modeling of porous media
- 2011
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Ingår i: Proceedings of NSCM-24, the 24th Nordic Seminar on Computational Mechanics. ; , s. 111-114
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Konferensbidrag (refereegranskat)
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| 36. |
- Sandström, Carl, 1978, et al.
(författare)
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MULTISCALE MODELING OF POROUS MEDIA
- 2010
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Ingår i: Proceedings of NSCM-23, Anders Eriksson och Gunnar Tibert, Nordic Seminar on Computational Mechanics, Sockholm, 21-22 October 2010. - 0348-467X. ; 2010, s. 177-180
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Konferensbidrag (refereegranskat)abstract
- 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 heterogenousmesoscale, 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 exampleproblems.
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| 37. |
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