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

Autori
Carraro, Thomas ; Marušić-Paloka, Eduard ; Mikelić, Andro

Izvornik
Nonlinear analysis: real world applications (1468-1218) 44 (2018), 1; 149-172

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Homogenization ; Stationary Navier–Stokes equations ; Stress boundary conditions ; Effective tangential velocity jump ; Porous media

Sažetak
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 (1997) to obtain the boundary layer structure next to the outer boundary. The approach allows establishing the strong L2L2-convergence of the velocity corrector and identification of the effective boundary velocity slip jump. The theoretical results are confirmed through numerical experiments

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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