4D variational data assimilation for locally nested models: optimality system and preliminary experiments

Laurent Debreu 1 Ehouarn Simon 2 Eric Blayo 1
1 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : We address the problem of adapting the four dimensional variational data assimilation method to a numerical model which employs local mesh refine- ment to improve its solution. We are concerned with structured meshes where a high resolution grid is nested into a coarser resolution grid which covers the en- tire domain. The derivation of the adjoint of the resulting locally nested model is presented. Both continuous and discrete versions are given. The new algo- rithms are then successfully applied to a 1D shallow water model with control of the initial condition.
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Laurent Debreu, Ehouarn Simon, Eric Blayo. 4D variational data assimilation for locally nested models: optimality system and preliminary experiments. [Research Report] RR-7675, INRIA. 2011, pp.19. ⟨inria-00607177⟩

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