Comptes Rendus
A novel implicit method for coastal hydrodynamics modeling: application to the Arcachon lagoon
Comptes Rendus. Mécanique, Volume 333 (2005) no. 11, pp. 796-803.

The present Note reports on numerical modeling of shallow flows in coastal areas. Successful numerical simulations of such flows should be able to cope with strong irregularities of the bathymetry and to reproduce the covering/uncovering (wetting/drying) of tidal flats due to the tidal oscillations of the free surface. Also, adoption of large time steps is necessary to simulate phenomena which last actually several days or months. In the present study, a new numerical model based on an implicit resolution of the shallow water equations is proposed. A penalty method has been employed for numerical treatment of dry zones emerging during the wetting and drying processes. The capability of the present model has been verified by comparison with standard test cases. Further applications and comparisons have been also carried out to simulate the tidal propagation in the Arcachon lagoon.

La présente Note traite de la modélisation numérique des écoulements en eau peu profonde dans les zones littorales. La simulation numérique de tels écoulements doit pouvoir prendre en compte une bathymétrie fortement irrégulière et reproduire le phénomène d'émergence/immersion des zones intertidales, alternativement couvertes puis découvertes sous l'action de la marée. Utiliser de grands pas de temps est également nécessaire pour simuler des évènements se déroulant en réalité sur plusieurs jours ou plusieurs mois. Dans cette étude, un mouveau modèle est proposé, basé sur une résolution implicite des équations en eau peu profonde. Une méthode de pénalisation est utilisée pour le traitement des zones sèches émergeant au cours du jusant. Les capacités du modèle ont été validées sur des cas tests de la littérature ainsi que lors de son application à la simulation de la propagation de la marée au sein du Bassin d'Arcachon.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2005.10.003
Keywords: Computational fluid mechanics, Shallow water equations, Implicit resolution, Augmented Lagrangian, Wetting and drying, Penalty method
Mot clés : Mécanique des fluides numérique, Équations en eau peu profonde, Résolution implicite, Lagrangien augmenté, Gestion des zones intertidales, Méthode de pénalisation

Aurélie Le Dissez 1; Damien Sous 1; Stéphane Vincent 1; Jean-Paul Caltagirone 1; Aldo Sottolichio 2

1 TREFLE – UMR CNRS 8508, site ENSCPB, 16, avenue Pey-Berland, 33607 Pessac cedex, France
2 DGO/EPOC – UMR CNRS 5805, avenue des facultés, 33405 Talence cedex, France
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     title = {A novel implicit method for coastal hydrodynamics modeling: application to the {Arcachon} lagoon},
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Aurélie Le Dissez; Damien Sous; Stéphane Vincent; Jean-Paul Caltagirone; Aldo Sottolichio. A novel implicit method for coastal hydrodynamics modeling: application to the Arcachon lagoon. Comptes Rendus. Mécanique, Volume 333 (2005) no. 11, pp. 796-803. doi : 10.1016/j.crme.2005.10.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.10.003/

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