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inria-00176180, version 1

Several data assimilation methods for geophysical problems

Didier Auroux () a, 1

Indian Journal of Pure and Applied Mathematics 37, 1 (2006) 41-58

Résumé : In this paper, we present an overview of various data assimilation methods, in order to identify the initial condition of a geophysical system and reconstruct its evolution in time and space. We first present the well known four dimensional variational adjoint method, the 4D-VAR algorithm, and then the four dimensional variational dual method, the 4D-PSAS algorithm, extended to nonlinear models. We present then an improved sequential data assimilation algorithm, the SEEK filter. We finally introduce a new simple algorithm, the Back and Forth Nudging. Some theoretical and numerical results about the BFN algorithm are finally given.

  • a –  Université Paul Sabatier - Toulouse III
  • 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
  • Domaine : Mathématiques/Optimisation et contrôle
  • Mots-clés : data assimilation – geophysical fluids – 4D-VAR – 4D-PSAS – SEEK filter – nudging
 
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  • Contributeur : Didier Auroux <>
  • Soumis le : Mardi 2 Octobre 2007, 17:28:30
  • Dernière modification le : Mardi 4 Décembre 2007, 20:32:38