TITLE

On the Theoretical Equivalence of Differently Proposed Ensemble–3DVAR Hybrid Analysis Schemes

AUTHOR(S)
Wang, Xuguang; Snyder, Chris; Hamill, Thomas M.
PUB. DATE
January 2007
SOURCE
Monthly Weather Review;Jan2007, Vol. 135 Issue 1, p222
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Hybrid ensemble–three-dimensional variational analysis schemes incorporate flow-dependent, ensemble-estimated background-error covariances into the three-dimensional variational data assimilation (3DVAR) framework. Typically the 3DVAR background-error covariance estimate is assumed to be stationary, nearly homogeneous, and isotropic. A hybrid scheme can be achieved by 1) directly replacing the background-error covariance term in the cost function by a linear combination of the original background-error covariance with the ensemble covariance or 2) through augmenting the state vector with another set of control variables preconditioned upon the square root of the ensemble covariance. These differently proposed hybrid schemes are proven to be equivalent. The latter framework may be a simpler way to incorporate ensemble information into operational 3DVAR schemes, where the preconditioning is performed with respect to the background term.
ACCESSION #
23754415

 

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