Effective pressure boundary condition for the filtration through porous medium via homogenization (CROSBI ID 251735)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Carraro, Thomas ; Marušić-Paloka, Eduard ; Mikelić, Andro
engleski
Effective pressure boundary condition for the filtration through porous medium via homogenization
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
Homogenization ; Stationary Navier–Stokes equations ; Stress boundary conditions ; Effective tangential velocity jump ; Porous media
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Podaci o izdanju
44 (1)
2018.
149-172
objavljeno
1468-1218
10.1016/j.nonrwa.2018.04.008
Povezanost rada
Matematika