F. El Dabaghi ; A. El Kacimi ; B. Nakhlé - Flood simulation via shallow water numerical model based on characteristic method

arima:1874 - Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, October 7, 2006, Volume 5, Special Issue TAM TAM'05, november 2006 - https://doi.org/10.46298/arima.1874
Flood simulation via shallow water numerical model based on characteristic method

Authors: F. El Dabaghi ; A. El Kacimi ; B. Nakhlé

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.


Volume: Volume 5, Special Issue TAM TAM'05, november 2006
Published on: October 7, 2006
Submitted on: March 13, 2006
Keywords: shallow water equations, St-Venant, charactersitics, finite element, wave flood,équations d'eau peu profonde,St-Venant,caractéristiques,élément fini,onde de crue,[MATH] Mathematics [math],[INFO] Computer Science [cs]


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