Stokes–Brinkman–Darcy Models for Coupled Free-Flow and Porous-Medium Systems

DOI10.1007/978-3-031-40864-9_31OpenAlexW4387225441MaRDI QIDQ6182879

Unnamed Author, Iryna Rybak

Publication date: 22 December 2023

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-40864-9_31

zbMATH Keywords

finite volume methodDarcy's lawporous mediaStokes equationsBrinkman equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Stokes and related (Oseen, etc.) flows (76D07) Free boundary problems for PDEs (35R35) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

• Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems
• Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
• Momentum transfer at the boundary between a porous medium and a homogeneous fluid. I: Theoretical development. II: Comparison with experiment
• A dimensionally reduced Stokes-Darcy model for fluid flow in fractured porous media
• A multiscale Darcy-Brinkman model for fluid flow in fractured porous media
• On the Boundary Condition at the Surface of a Porous Medium
• On The Interface Boundary Condition of Beavers, Joseph, and Saffman
• Effective Coupling Conditions for Arbitrary Flows in Stokes--Darcy Systems
• Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
• A framework for computing effective boundary conditions at the interface between free fluid and a porous medium

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