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Journal Articles Flow, Turbulence and Combustion Year : 2000

4D Variational Data Analysis with Imperfect Model


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.
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inria-00325356 , version 1 (29-09-2008)



Arthur Vidard, Eric Blayo, François-Xavier Le Dimet, Andrea Piacentini. 4D Variational Data Analysis with Imperfect Model. Flow, Turbulence and Combustion, 2000, 65 (3), pp.489--504. ⟨10.1023/A:1011452303647⟩. ⟨inria-00325356⟩
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