A reformulation of the background error covariance in the RCMWF global data assimilation system
Une reformulation de la covariance des erreurs de départ dans le système d'assimilation des données global de RCMWF
Derber, J. ; Bouttier, F.
Année de publication
1999
The background error covariance plays an important role in modern data
assimilation and analysis systems by determining the distribution of the
information in the data in space and between variables. A new
formulation has been developed for use in the ECMWF system. The
non-separable structure functions depend on the horizontal and vertical
scales and a generalized linear balance operator to imply multivariate
structure functions. The balance operator is incorporated into the
definition of the analysis variables to ensure good preconditioning of
the problem. The formulation and structure of the background error
covariance are presented, and the implications for the analysis
increments are examined. This reformulation became the operational ECMWF
formulation in 3D-Var in May 1997 and in 4D-Var in November 1997</div>
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