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.
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...