Homogenization of Flow Through Periodic Networks

DOI10.1137/20M1368513zbMath1468.35013OpenAlexW3168560585MaRDI QIDQ4997143

Zachary M. Wilmott, S. Jonathan Chapman

Publication date: 28 June 2021

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

Full work available at URL: https://doi.org/10.1137/20m1368513

zbMATH Keywords

conductivityporous mediumpermeabilitymultiple scalestortuosityeffective material

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50) Homogenization for problems in thermodynamics and heat transfer (80M40) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Homogenization in optics and electromagnetic theory (78M40) Linear difference equations (39A06)

Uses Software

• OpenPNM
• PoreSpy

Cites Work

• Multiscale modeling of fluid transport in tumors
• Random Walks on Lattices. II
• Dispersion and Convection in Periodic Porous Media
• General technique of calculating the drift velocity and diffusion coefficient in arbitrary periodic systems
• Effective Transport Properties of Lattices

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