Multi-Scale Modeling and Simulation of Transport Processes in an Elastically Deformable Perforated Medium.

Diffusive transport Evolving microstructure Finite-element methods Perforated elastic medium Two-scale expansion

Journal

Transport in porous media
ISSN: 0169-3913
Titre abrégé: Transp Porous Media
Pays: Netherlands
ID NLM: 101639666

Informations de publication

Date de publication:
2023
Historique:
received: 07 08 2022
accepted: 19 12 2022
pubmed: 12 1 2023
medline: 12 1 2023
entrez: 11 1 2023
Statut: ppublish

Résumé

In this paper, we derive an effective model for transport processes in periodically perforated elastic media, taking into account, e.g., cyclic elastic deformations as they occur in lung tissue due to respiratory movement. The underlying microscopic problem couples the deformation of the domain with a diffusion process within a mixed

Identifiants

pubmed: 36628266
doi: 10.1007/s11242-022-01896-z
pii: 1896
pmc: PMC9816551
doi:

Types de publication

Journal Article

Langues

eng

Pagination

93-123

Informations de copyright

© The Author(s) 2023.

Déclaration de conflit d'intérêts

Conflict of interestThe authors have not disclosed any conflict of interest.

Auteurs

Jonas Knoch (J)

IWR, Ruprecht-Karls-Universität Heidelberg, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany.
Department Mathematik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Cauerstraße 11, 91058 Erlangen, Germany.

Markus Gahn (M)

IWR, Ruprecht-Karls-Universität Heidelberg, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany.

Maria Neuss-Radu (M)

IWR, Ruprecht-Karls-Universität Heidelberg, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany.
Department Mathematik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Cauerstraße 11, 91058 Erlangen, Germany.

Nicolas Neuß (N)

Department Mathematik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Cauerstraße 11, 91058 Erlangen, Germany.

Classifications MeSH