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We propose an improvement of an oceanographic three dimensional variationalassimilation scheme (3D-VAR), named OceanVar, by introducing a recursive filter(RF) with the third order of accuracy (3rd-RF), instead of a RF with firstorder of accuracy (1st-RF), to approximate horizontal Gaussian covariances. Anadvantage of the proposed scheme is that the CPU's time can be substantiallyreduced with benefits on the large scale applications. Experiments estimatingthe impact of 3rd-RF are performed by assimilating oceanographic data in tworealistic oceanographic applications. The results evince benefits in terms ofassimilation process computational time, accuracy of the Gaussian correlationmodeling, and show that the 3rd-RF is a suitable tool for operational dataassimilation.

A Revised Scheme to Compute Horizontal Covariances in an Oceanographic 3D-VAR Assimilation System