18th Conference on Weather Analysis and Forecasting and the 14th Conference on Numerical Weather Prediction

P6.12

Unified treatment of measurement bias and correlation in variational analysis with consideration of the preconditioning problem

R. James Purser, General Sciences Corp., Beltsville, MD; and J. C. Derber

As remotely sensed data become an increasingly dominant source of the information provided, through assimilation procedures, to operational forecast models, the related problems of correlated or biased measurement error and the poor numerical conditioning of the formal inversion by the assimilation become increasingly severe. This paper will address a unified approach to the treatment of measurement bias and correlation through the use of ancillary variables. The proposed treatment further inflates the already large condition number intrinsic to the analysis inversion problem but, by employing an observation-space form of the analysis and adopting an extension to the averaged block-matrix preconditioners recently advocated by R. Daley and E. Barker based on grouping the data into overlapping small clusters, we expect to be able to achieve a dramatic reduction in the condition number. An outline of the proposed techniques and preliminary results will be presented.

extended abstract  Extended Abstract (912K)

Poster Session 6, Poster Session - Ensembles—with Coffee Break
Thursday, 2 August 2001, 2:30 PM-4:00 PM

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