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inria-00256581, version 1

Lagrangian data assimilation for river hydraulics simulations

Marc Honnorat b1, Jerome Monnier () a1, Francois-Xavier Le Dimet b1

Computing and Visualization in Science 12, 5 (2009) 235-246

Abstract: We present a method to use lagrangian data from remote sensing observation in a variational data assimilation process for a river hydraulics model based on the bidimensional shallow water equations. The trajectories of particles advected by the flow can be extracted from video images and are used in addition to classical eulerian observations. This lagrangian data brings information on the surface velocity thanks to an appropriate transport model. Numerical twin data assimilation experiments in an academic flow configuration demonstrate that this method makes it possible to significantly improve the identification of local bed elevation and initial conditions.

  • a –  Institut National Polytechnique de Grenoble - INPG
  • b –  INRIA
  • 1:  MOISE (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann)
  • CNRS : UMR5224 – INRIA – Laboratoire Jean Kuntzmann – Université Joseph Fourier - Grenoble I – Institut Polytechnique de Grenoble - Grenoble Institute of Technology
  • Domain : Mathematics/Analysis of PDEs
    Mathematics/Numerical Analysis
    Mathematics/Optimization and Control
 
  • inria-00256581, version 1
  • oai:hal.inria.fr:inria-00256581
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  • Submitted on: Friday, 15 February 2008 16:30:49
  • Updated on: Friday, 22 February 2013 21:15:40