A new method for data assimilation: the back and forth nudging algorithm

Didier Auroux (1) , Jacques Blum (2) , Maëlle Nodet (3)

1 LJAD - Laboratoire Jean Alexandre Dieudonné
2 JAD - Laboratoire Jean Alexandre Dieudonné
3 MOISE - Modelling, Observations, Identification for Environmental Sciences

In this paper, we propose an improvement to the Back and Forth Nudging algorithm for handling diffusion in the context of geophysical data assimilation. We detail the Diffusive Back and Forth Nudging algorithm, 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.

Domaines: Optimisation et contrôle [math.OC]

Didier Auroux, Jacques Blum, Maëlle Nodet. A new method for data assimilation: the back and forth nudging algorithm. MAMERN13 - 5th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources, Apr 2013, Granada, Spain. ⟨hal-00921885⟩