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

arima:1874 - Revue Africaine de 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 1; A. El Kacimi 2; B. Nakhlé 3

  • 1 INRIA Rocquencourt
  • 2 Ecole Mohamadia d'Ingénieurs
  • 3 Ecole supérieure d'ingénieurs de Beyrouth

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.

https://doi.org/10.46298/arima.1874
Source: HAL:hal-01263438v1
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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