General sensitivity analysis in data assimilation

François-Xavier Le Dimet 1, * Victor P. Shutyaev 2 Ha Tran Thu 3
* Auteur correspondant
1 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
2 INM-RAS - Institute of Numerical Mathematics [Moscou]
3 Institute of Mechanics [Hanoi]
Abstract : The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to nd the initial condition function (analysis). The operator of the model, and hence the optimal solution, depend on the parameters which may contain uncertainties. A response function is considered as a functional of the solution after assimilation. Based on the second-order adjoint techniques, the sensitivity of the response function to the parameters of the model is studied. The gradient of the response function is related to the solution of a non-standard problem involving the coupled system of direct and adjoint equations. The solvability of the non-standard problem is studied. Numerical algorithms for solving the problem are developed. The results are applied for the 2D hydraulic and pollution models. Numerical examples on computation of the gradient of the response function are presented.
Keywords : hydraulic and pollution model second-order adjoint sensitivity analysis Optimal control variational data assimilation
Type de document :
Article dans une revue
Russian Journal of Numerical Analysis and Mathematical Modelling, De Gruyter, 2014, 29 (2), pp.107-127. 〈10.1515/rnam-2014-0009〉
Liste complète des métadonnées

Littérature citée [25 références]  Voir  Masquer  Télécharger
https://hal.inria.fr/hal-00931293
Contributeur : Eugene Kazantsev <>
Soumis le : mercredi 15 janvier 2014 - 11:16:41
Dernière modification le : samedi 14 avril 2018 - 17:12:02
Document(s) archivé(s) le : mardi 15 avril 2014 - 22:16:13

Fichier

LeDimet-Shutyaev-Ha-2.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

INRIA | INSMI | LJK_MAD | LJK | LJK_MAD_MOISE | UGA | TDS-MACS

Citation

François-Xavier Le Dimet, Victor P. Shutyaev, Ha Tran Thu. General sensitivity analysis in data assimilation. Russian Journal of Numerical Analysis and Mathematical Modelling, De Gruyter, 2014, 29 (2), pp.107-127. 〈10.1515/rnam-2014-0009〉. 〈hal-00931293〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

618

Téléchargements de fichiers

200

Contact


archive-ouverte@inria.fr