Data assimilation for geophysical fluids
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 26 (2017) no. 4, pp. 767-793.

L’assimilation de données est l’ensemble des techniques qui permettent de combiner un modèle et des observations. Le but est ici d’identifier l’état d’un système géophysique à partir de données discrètes en temps et en espace. Après un rappel de l’état de l’art en assimilation de données (méthode variationnelle 4D-VAR et approche duale 4D-PSAS, filtres séquentiels de type Kalman), nous présentons l’algorithme du nudging direct et rétrograde, ainsi que son extension naturelle (le nudging direct et rétrograde diffusif) à certains modèles géophysiques contenant un terme de diffusion.

Data assimilation is the domain at the interface between observations and models, which makes it possible to identify the global structure of a geophysical system from a set of discrete space-time data. After recalling state-of-the-art data assimilation methods, the variational 4D-VAR algorithm and the dual variational 4D-PSAS algorithm, and sequential Kalman filters, we will present the Back and Forth Nudging (BFN) algorithm, and the Diffusive Back and Forth Nudging (DBFN) algorithm, which is a natural extension of the BFN to some particular diffusive models.

Publié le :
DOI : 10.5802/afst.1552
Auroux, Didier 1

1 Université Côte d’Azur, Inria, CNRS, LJAD, France
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Auroux, Didier. Data assimilation for geophysical fluids. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 26 (2017) no. 4, pp. 767-793. doi : 10.5802/afst.1552. http://www.numdam.org/articles/10.5802/afst.1552/

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