Abstract : One of the main hypothesis made in variational data assimilation is to consider that the model is a strong constraint of the minimization i.e. that the model describes exactly the behavior of the system. Obviously the hypothesis is never respected. We propose here an alternative to the 4D-Var that takes into account model errors adding a non physical term into the model equation and controlling this term. A practical application is proposed on a simple case and a reduction of the size of control using preferred directions is introduced to make the method affordable for realistic applications.
https://hal.inria.fr/inria-00325356
Contributor : Arthur Vidard
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Submitted on : Monday, September 29, 2008 - 9:46:56 AM
Last modification on : Tuesday, March 5, 2019 - 9:18:04 AM
Long-term archiving on: Thursday, June 3, 2010 - 7:57:20 PM
Arthur Vidard, Eric Blayo, François-Xavier Le Dimet, Andrea Piacentini. 4D Variational Data Analysis with Imperfect Model. Flow, Turbulence and Combustion, Springer Verlag (Germany), 2000, 65 (3), pp.489--504. ⟨inria-00325356⟩
