In this Note, we propose an improvement to the Back and Forth Nudging algorithm for handling diffusion in the context of geophysical data assimilation. We introduce the Diffusive Back and Forth Nudging, in which the sign of the diffusion term is changed in the backward integrations. We study the convergence of this algorithm, in particular for linear transport equations.
Dans cette Note, nous proposons une amélioration de lʼalgorithme du Nudging Direct et Rétrograde pour gérer la diffusion dans le contexte de lʼassimilation de données en géophysique. Nous introduisons la version Diffusive du Nudging Direct et Rétrograde, dans laquelle le signe du terme de diffusion est inversé dans les équations rétrogrades. Nous étudions la convergence de cet algorithme, en particulier pour lʼéquation de transport linéaire.
Accepted:
Published online:
Didier Auroux 1; Jacques Blum 1; Maëlle Nodet 2
@article{CRMATH_2011__349_15-16_849_0, author = {Didier Auroux and Jacques Blum and Ma\"elle Nodet}, title = {Diffusive {Back} and {Forth} {Nudging} algorithm for data assimilation}, journal = {Comptes Rendus. Math\'ematique}, pages = {849--854}, publisher = {Elsevier}, volume = {349}, number = {15-16}, year = {2011}, doi = {10.1016/j.crma.2011.07.004}, language = {en}, }
TY - JOUR AU - Didier Auroux AU - Jacques Blum AU - Maëlle Nodet TI - Diffusive Back and Forth Nudging algorithm for data assimilation JO - Comptes Rendus. Mathématique PY - 2011 SP - 849 EP - 854 VL - 349 IS - 15-16 PB - Elsevier DO - 10.1016/j.crma.2011.07.004 LA - en ID - CRMATH_2011__349_15-16_849_0 ER -
Didier Auroux; Jacques Blum; Maëlle Nodet. Diffusive Back and Forth Nudging algorithm for data assimilation. Comptes Rendus. Mathématique, Volume 349 (2011) no. 15-16, pp. 849-854. doi : 10.1016/j.crma.2011.07.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.07.004/
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