A Scalable port-Hamiltonian Model for Incompressible Fluids in Irregular Geometries

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TitreA Scalable port-Hamiltonian Model for Incompressible Fluids in Irregular Geometries
Type de publicationJournal Article
Year of Publication2019
AuteursMora LA, Ramirez H, , Le Gorrec Y
JournalIFAC PAPERSONLINE
Volume52
Pagination102-107
Type of ArticleProceedings Paper
ISSN2405-8963
Mots-clésapproximation of PDEs, computational methods, PDE, port-Hamiltonian systems
Résumé

The behavior of a fluid in pipes with irregular geometries is studied. Departing from the partial differential equations that describe mass and momentum balances a scalable lumped-parameter model is proposed. To this end the framework of port-Hamiltonian systems is instrumental to derive a modular system which upon interconnection describes segments with different cross sections and dissipation effects. In order to perform the interconnection between different segments the incompressibility hypothesis is relaxed in some infinitesimal section to admit density variations and energy transference between segments. Numerical simulations are performed in order to illustrate the model. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

DOI10.1016/j.ifacol.2019.08.018