A Well-balanced Finite Volume Scheme for Shallow Water Equations with Porosity Application to Modelling of Open-Channel Flow through Rigid and Emergent Vegetation

Autor: Le, Minh, Dubos, Virgile, Oukacine, Marina, Goutal, Nicole
Přispěvatelé: Laboratoire d'Hydraulique Saint-Venant / Saint-Venant laboratory for Hydraulics (Saint-Venant), École des Ponts ParisTech (ENPC)-Centre d'Etudes et d'Expertise sur les Risques, l'Environnement, la Mobilité et l'Aménagement (Cerema)-EDF R&D (EDF R&D), EDF (EDF)-EDF (EDF), Numerical Analysis, Geophysics and Ecology (ANGE), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), EDF R&D (EDF R&D), EDF (EDF), dubos, virgile, Laboratoire d'Hydraulique Saint-Venant / Saint-Venant laboratory for Hydraulics (LHSV)
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: River Flow 2018-9th International Conference on Fluvial Hydraulics
River Flow 2018-9th International Conference on Fluvial Hydraulics, Sep 2018, Lyon-Villeurbanne, France. pp.1-7
Popis: International audience; Strong interactions exist between flow dynamics and vegetation in open-channel. Depth-averaged shallow water equations can be used for such a study. However, explicit representation of vegetation can lead to very high resolution of the mesh since rigid vegetation is often modelled as vertical cylinders. Our work aims to study the ability of a single porosity-based shallow water model for these applications. More attention on flux and source terms discretizations are required in order to archive the well-balancing and shock capturing. We present a new Godunov-type finite volume scheme based on a simple-wave approximation and compare it with some other methods in the literature. A first application with experimental data was performed.
Databáze: OpenAIRE
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