The dynamics of error covariances in a barotropic model

François Bouttier

doi:10.3402/tellusa.v45i5.15033

The dynamics of error covariances in a barotropic model

Tellus

Volume 45 (1993): Issue 5

By: François Bouttier

Open Access

|Jan 1993

Barkmeijer , J . 1992 . Local error growth in a barotropic model . Tel/us 44A , 314 – 323 .
Search in Google Scholar Back to article
Barkmeijer , J. and Opsteegh , J. D . 1991 . Local skill prediction with a simple model. Proc. 1991, ECMWF Workshop on New developments in predictability. ECMWF , Shinfield Park, Reading, UK .
Search in Google Scholar Back to article
Borges , M. D. and Hartmann , D. L . 1992 . Barotropic instability and optimal perturbations of observed nonzonal flows . J. Atmos. Sci . 49 , 335 – 354 .
Search in Google Scholar Back to article
Branstator , G . 1983 . Horizontal energy propagation in a barotropic atmosphere with meridional and zonal structures . J. Atmos. Sci . 40 , 1689 – 1708 .
Search in Google Scholar Back to article
Cohn , S. E. and Parrish , D. F . 1991 . The behavior of forecast error covariances for a Kalman filter in two dimensions . Mon. Weather. Rev . 119 , 1757 – 1785 .
Search in Google Scholar Back to article
Courtier , P. , Freydier , C. , Geleyn , J.-F. , Rabier , F. and Rochas , M . 1991 . The ARPEGE Project at Météo-France. Proc. 1991, ECMWF Seminar , September 1991 . ECMWF , Shinfield Park, Reading, UK .
Search in Google Scholar Back to article
Dee , D. P . 1991 . Simplification of the Kalman filter for meteorological data assimilation . Mon. Weather. Rev . 117 , 365 – 384 .
Search in Google Scholar Back to article
Epstein , E. S . 1969 . Stochastic dynamic prediction . Tel/us 21 , 739 – 759 .
Search in Google Scholar Back to article
Farrel , B. F . 1988 . Optimal excitation of neutral Rossby waves. J. Atmos. Sc i . 45 , 163 – 172 .
Search in Google Scholar Back to article
Farrel , B. F. and Moore , A. M . 1992 . An adjoint method for obtaining the most rapidly growing perturbation to oceanic flows . J. Phys. Oceanog . 22 , 338 – 349 .
Search in Google Scholar Back to article
Gauthier , P. , Courtier , P. and Moll , P . 1993 . Data assimilation with an extended Kalman-Bucy filter. Mon. Weather. Rev. 121 , in press .
Search in Google Scholar Back to article
Ghil , M . 1989 . Meteorological data assimilation for oceanographers. Part I: description and theoretical framework . Dyn. of Atm. and Oceans 13 , 171 – 218 .
Search in Google Scholar Back to article
Ghil , M. , Cohn , S. , Tavantzis , J. , Bube , K. and Issacson , E. 1981. Applications of estimation theory to numeri-cal weather prediction. In: Dynamic meteorology. Data assimilation methods. (Eds. Bengtsson , L. , Ghil , M. and Kallen , E. ) Springer-Verlag , New York , 139 – 224 .
Search in Google Scholar Back to article
Hollingsworth , A. and Lönnberg , P . 1986 . The statistical structure of short-range forecast errors as determined from radiosonde data. Part I: The wind field . Tel/us 38A , 111 – 136 .
Search in Google Scholar Back to article
Hoskins , B. and Karoly , D . 1981 . The steady linear response of a spherical atmosphere to thermal and orographic forcing . J. Atmos. Sci . 38 , 1179 – 1196 .
Search in Google Scholar Back to article
Hoskins , B. , James , I. and White , G . 1983 . The shape, propagation and mean-flow interaction of large-scale weather systems . J. Atmos. Sci . 40 , 1595 – 1612 .
Search in Google Scholar Back to article
Lacarra , J.-F. and Talagrand , O . 1988 . Short-range evolution of small perturbations in a barotropic model . Tel/us 40A , 81 – 95 .
Search in Google Scholar Back to article
Lönnberg , P. and Hollingsworth , A . 1986 . The statistical structure of short-range forecast errors as determined from radiosonde data. Part II: the covariance of height and wind errors . Tel/us 38A , 137 – 161 .
Search in Google Scholar Back to article
Lorene , A. C . 1986 . Analysis methods for numerical weather prediction . Q. J. R. MeteoroL Soc . 112 , 1177 – 1194 .
Search in Google Scholar Back to article
Palmer , T. N. and Tibaldi , S . 1987 . Predictability studies in the median and extended range . ECMWF Technical Memorandum no. 139 . ECMWF, Shinfield Park , Reading, UK .
Search in Google Scholar Back to article
Parrish , D. F. and Cohn , S. E . 1985 . A Kalman filter for a two-dimensional shallow-water model: formulation and preliminary experiments. NMC Office note no. 304. National Meteorological Center , Washington DC, USA .
Search in Google Scholar Back to article
Pitcher , E . 1977 . Application of stochastic dynamic prediction to real data . J. Atmos. Sci . 34 , 3 – 21 .
Search in Google Scholar Back to article
Rabier , F. , Courtier , P. and Talagrand , O . 1993 . An application of adjoint model to sensitivity analysis . Contributions to Atmospheric Physics.
Search in Google Scholar Back to article
Simmons , A. , Wallace , J. and Branstator , G . 1983 . Barotropic wave propagation and instability, and atmospheric teleconnection patterns . J. Atmos. Sci . 40 , 1363 – 1392 .
Search in Google Scholar Back to article
Talagrand , O. and Courtier , P. 1987 . Variational assimilation of meteorological observations with the adjoint vorticity equation. I: Theory.Quart. J. Roy. Meteor. Soc. 113 , 1311 – 1328 .
Search in Google Scholar Back to article
Veyre , P . 1991 . Direct prediction of error variances by the tangent linear model. Proc. 1991, ECMWF Workshop on New developments in predictability. ECMWF , Shinfield Park, Reading, UK .
Search in Google Scholar Back to article