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Interplay Between Diffusion Anisotropy and Mesh Skewness in Hybrid High-Order Schemes Read chapter Read first chapter

2020 | OriginalPaper | Chapter

Interface Conditions for Arbitrary Flows in Coupled Porous-Medium and Free-Flow Systems

Authors : Elissa Eggenweiler, Iryna Rybak

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Publisher: Springer International Publishing

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Abstract

Physically consistent interface conditions are important for accurate mathematical modelling and numerical simulation of flow and transport processes in coupled free-flow and porous-medium systems. Traditional coupling concepts are valid for simplified cases only, such as flows parallel to the fluid-porous interface or very specific boundary value problems. This severely limits the range of applications that can be accurately modelled. Evidently, there is a need for more general interface conditions to couple free flow to porous-medium flow. In this paper, we propose new coupling conditions for arbitrary flow directions and periodic porous media. These conditions are derived by the theory of homogenisation and boundary layers and are applicable to general filtration problems. The derived set of coupling conditions are validated by comparison of pore-scale to macroscale numerical simulations.

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previous chapter Convergence Study of a DDFV Scheme for the Navier-Stokes Equations Arising in the Domain Decomposition Setting
next chapter On the Convergence Rate of the Dirichlet-Neumann Iteration for Coupled Poisson Problems on Unstructured Grids
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Metadata
Title
Interface Conditions for Arbitrary Flows in Coupled Porous-Medium and Free-Flow Systems
Authors
Elissa Eggenweiler
Iryna Rybak
Copyright Year
2020
Book
Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Print ISBN: 978-3-030-43650-6

Electronic ISBN: 978-3-030-43651-3

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-43651-3_31

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