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Simulation de l'onde de crue via un modèle numérique d'eau peu profonde basé sur la méthode des caractéristiques

Abstract : This work deals with the numerical simulation of flood waves propagation. This phenomena can be described by the non conservative form of shallow water or St-Venant equations, in water velocity-depht formulation (u,H). The numerical approximation of the model is based on the Characteristics method for the time discretization. The obtained steady system is of Quasi-Stokes type, and it is resolved by a preconditioned Uzawa conjugated gradient algorithm, combined to P1/P1 finite element for the spatial approximation. Some numerical results describing subcritical flow on various fluid domains are given.
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https://hal.inria.fr/hal-01263438
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F. El Dabaghi, A. El Kacimi, B. Nakhlé. Simulation de l'onde de crue via un modèle numérique d'eau peu profonde basé sur la méthode des caractéristiques. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2006, 5, pp.361-379. ⟨hal-01263438⟩

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