Olivier Besson ; Soulèye Kane ; Mamadou Sy - On a 1D-Shallow Water Model: Existence of solution and numerical simulations

arima:1901 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, November 20, 2008, Volume 9, 2007 Conference in Honor of Claude Lobry, 2008 - https://doi.org/10.46298/arima.1901
On a 1D-Shallow Water Model: Existence of solution and numerical simulations

Authors: Olivier Besson 1; Soulèye Kane 2; Mamadou Sy 3

  • 1 Institut de Mathématiques
  • 2 École Supérieure Polytechnique de Dakar
  • 3 Laboratoire d'Analyse Numérique et Informatique [Sénégal]

The study of a 1D-shallow water model, obtained in a height-flow formulation, is presented. It takes viscosity into account and can be used for the flood prediction in rivers. For a linearized system, the existence and uniqueness of a global solution is proved. Finally, various numerical results are presented regarding the linear and non linear case.

https://doi.org/10.46298/arima.1901
Source: HAL:hal-01277918v1
Volume: Volume 9, 2007 Conference in Honor of Claude Lobry, 2008
Published on: November 20, 2008
Submitted on: May 3, 2008
Keywords: Shallow water, Saint-Venant, height-flow, river, flood,hauteur-débit,crue,rivière,Equation de Saint-Venant,[INFO] Computer Science [cs],[MATH] Mathematics [math]

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