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Article Dans Une Revue Nonlinear Analysis: Real World Applications Année : 2018

Effective pressure boundary condition for the filtration through porous medium via homogenization

Résumé

We present homogenization of the viscous incompressible porous media flows under stress boundary conditions at the outer boundary. In addition to Darcy's law describing filtration in the interior of the porous medium, we derive rigorously the effective pressure boundary condition at the outer boundary. It is a linear combination of the outside pressure and the applied shear stress. We use the two-scale convergence in the sense of boundary layers, introduced by Allaire and Conca [SIAM J. Math. Anal., 29 (1997), pp. 343-379] to obtain the boundary layer structure next to the outer boundary. The approach allows establishing the strong L 2-convergence of the velocity corrector and identifica
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Dates et versions

hal-01484775 , version 1 (07-03-2017)

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Thomas Carraro, Eduard Marusic-Paloka, Andro Mikelic. Effective pressure boundary condition for the filtration through porous medium via homogenization. Nonlinear Analysis: Real World Applications, 2018, 44, pp.149-172. ⟨10.1016/j.nonrwa.2018.04.008⟩. ⟨hal-01484775⟩
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