Modèle de Saint-Venant congestionné : modélisation des poches d'air piégées

PARISOT, Martin

doi:10.1137/22M1514908

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PARISOT, Martin
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]

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Article de revue

Ce document a été publié dans

SIAM Journal on Scientific Computing. 2023-11-27, vol. 45, n° 6, p. B828-B852

Society for Industrial and Applied Mathematics

Résumé en anglais

In this work, the modeling and numerical resolution in the multidimensional framework of the interaction between the congested shallow water model and a polytropic air pocket dynamics are addressed. A weak coupling strategy is adopted and the air pocket connectivity is obtained by comparing there horizontal supports. Several numerical simulations illustrate the relevance of the model and the robustness of the numerical strategy. In particular, the method seems well suited to the numerical study of the hydraulics of underground rivers and coastal caves such as the Cosquer cave, and to the simulation of the marine energy converter such as the oscillating water column.< Réduire

Mots clés en anglais

Congested shallow water model

Polytropic gaz dynamics

Liquid-gas two-phase problem

Nonlinear integro-differential equations

Pipe flows

Immersed cave hydrodynamics

Renewable marine energy

URI

https://oskar-bordeaux.fr/handle/20.500.12278/191087

DOI

http://dx.doi.org/10.1137/22M1514908

Project ANR

Ecoulements géophysiques avec des modèles unifiés - ANR-19-CE46-0010

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251

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