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Pressure jump interface law for the Stokes-Darcy coupling: Confirmation by direct numerical simulations (1301.6580v1)
Published 25 Jan 2013 in math.NA
Abstract: It is generally accepted that the effective velocity of a viscous flow over a porous bed satisfies the Beavers-Joseph slip law. To the contrary, interface law for the effective stress has been a subject of controversy. Recently, a pressure jump interface law has been rigorously derived by Marciniak-Czochra and Mikeli\'c. In this paper, we provide a confirmation of the analytical result using direct numerical simulation of the flow at the microscopic level.