Effective Behavior of a Free Fluid in Contact with a Flow in a Curved Porous Medium

DOI10.1137/140985172zbMath1321.35159OpenAlexW277298963MaRDI QIDQ5254920

Sören Dobberschütz

Publication date: 11 June 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140985172

zbMATH Keywords

homogenizationporous mediafluid mechanicsinterfacial exchangeBeavers-Joseph-Saffman condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (1)

Vanishing porosity limit of the coupled Stokes-Brinkman system

Cites Work

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• A transformation approach for the derivation of boundary conditions between a curved porous medium and a free fluid
• Étude d'un fluide traversant une paroi perforée. II: Comportement limite loin de la paroi. (Study of a fluid crossing a perforated sieve. II: Limit behavior far off the sieve)
• Non-homogeneous media and vibration theory
• Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary
• Slip and no-slip velocity boundary conditions at interface of porous, plain media
• Momentum transfer at the boundary between a porous medium and a homogeneous fluid. I: Theoretical development. II: Comparison with experiment
• Weak convergence for a class of rapidly oscillating functions
• Homogenization and porous media
• Asymptotic Analysis of the Laminar Viscous Flow Over a Porous Bed
• The boundary behavior of a composite material
• Pressure jump interface law for the Stokes–Darcy coupling: confirmation by direct numerical simulations
• Effective Pressure Interface Law for Transport Phenomena between an Unconfined Fluid and a Porous Medium Using Homogenization
• On the Boundary Condition at the Surface of a Porous Medium
• ON THE BEHAVIOR AT INFINITY OF SOLUTIONS OF SECOND ORDER ELLIPTIC EQUATIONS IN DOMAINS WITH NONCOMPACT BOUNDARY
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• On The Interface Boundary Condition of Beavers, Joseph, and Saffman

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