Junction of models of different dimension for flows in tube structures by Womersley-type interface conditions - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue SIAM Journal on Applied Mathematics Année : 2019

Junction of models of different dimension for flows in tube structures by Womersley-type interface conditions

Résumé

The method of asymptotic partial decomposition of a domain (MAPDD) proposed and justified earlier for thin domains (rod structures, tube structures consisting of a set of thin cylinders) generates some special interface conditions between the three-dimensional and one-dimensional parts. In the case of fluid mechanics these conditions prescribe a pre-computed Poiseuille-type shape of a solution at the interface, which however are not generalizable to the case with a boundary layer in time. In this work we present a new more general version of the method which considered and justified for the transient Navier-Stokes equations. Although theoretical justification (well posedness, asymptotic analysis) can be shown only for moderate Reynolds numbers, the provided numerical tests show good accuracies for higher values.
Fichier principal
Vignette du fichier
MAPDDNSFPressure1018_v2.pdf (923.17 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Commentaire : Ce pdf est la version preprint de l'article (version soumise à l'éditeur, avant peer-reviewing).
Loading...

Dates et versions

hal-01882000 , version 1 (26-09-2018)
hal-01882000 , version 2 (26-10-2018)

Identifiants

Citer

Cristóbal Bertoglio, Carlos Conca, David Nolte, Grigory Panasenko, Konstantinas Pileckas. Junction of models of different dimension for flows in tube structures by Womersley-type interface conditions. SIAM Journal on Applied Mathematics, 2019, 79 (3), pp.959-985. ⟨10.1137/18M1229572⟩. ⟨hal-01882000v2⟩
122 Consultations
386 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More