Published July 15, 2011
| Version v1
Journal article
A numerical scheme for a viscous shallow water model with friction
- Creators
- Marche, Fabien
- Delestre, Olivier
- Others:
- Institut de Mathématiques et de Modélisation de Montpellier (I3M) ; Université Montpellier 2 - Sciences et Techniques (UM2)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)
- Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)
Description
We consider a particular viscous shallow water model with topography and friction laws, formally derived by asymptotic expansion from the three-dimensional free surface Navier-Stokes equations. Emphasize is put on the numerical study: the viscous system is regarded as an hyperbolic system with source terms and discretized using a second order finite volume method. New steady states solutions for open channel flows are introduced for the whole model with viscous and friction terms. The proposed numerical scheme is validated against these new benchmarks.
Abstract
International audience
Additional details
- URL
- https://hal.archives-ouvertes.fr/hal-00799076
- URN
- urn:oai:HAL:hal-00799076v1
- Origin repository
- UNICA