Pressure jump interface law for the Stokes–Darcy coupling: confirmation by direct numerical simulations

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, the interface law for the effective stress has been a subject of controversy. Recently, a pressure jump interface law has been rigourously derived by Marci...

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Bibliographic Details
Published inJournal of fluid mechanics Vol. 732; pp. 510 - 536
Main Authors Carraro, T., Goll, C., Marciniak-Czochra, A., Mikelić, A.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 10.10.2013
Cambridge University Press (CUP)
Subjects
Analysis of PDEs
Computational methods in fluid dynamics
Engineering Sciences
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Laminar flows
Low-reynolds-number (creeping) flows
Mathematics
Physics
Reactive fluid environment
computational methods
Navier–Stokes equations
porous media
Digital simulation
Porous medium
Two layer medium
Modelling
Fluid layer
Slow flow
Incompressible fluid
Viscous fluids
Mesh generation
Navier-Stokes equations
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Summary: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, the interface law for the effective stress has been a subject of controversy. Recently, a pressure jump interface law has been rigourously derived by Marciniak-Czochra and Mikelić. In this paper, we provide a confirmation of the analytical result using direct numerical simulation of the flow at the microscopic level. To the best of the authors’ knowledge, this is the first numerical confirmation of the pressure interface law in the literature.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2013.416