Error growth and Kalman filtering within an idealized baroclinic flow

Tellus, Series A: Dynamic Meteorology and Oceanography

Volumn 50, Issue 5, 1998, Pages 596-615

  Fischer, Claude ^a   Joly, Alain ^a   Lalaurette, François ^a  

^a CENTRE NATIONAL DE RECHERCHES MÉTÉOROLOGIQUES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BAROCLINIC MOTION; ERROR CORRECTION; KALMAN FILTER; OBSERVATIONAL METHOD;

EID: 0032452234     PISSN: 02806495     EISSN: None     Source Type: Journal    
DOI: 10.3402/tellusa.v50i5.14561     Document Type: Article

References (27)

1. Bergot, T., S. Malardel and A. Joly. 1996. Sensitivity and singular vectors calculation in the operational context of FASTEX. In: 7th Conf. on Mesoscale Proc., pp. 366-368. Reading, UK.
2. Bouttier, F. 1993. The dynamics of error covariances in a barotropic model. Tellus. 45A, 408-423.
3. Budgell, W. 1986. Nonlinear data assimilation for shallow water equations in branched channels. J. Geoph. Res. 91 C9, 10,633-10,644.
4. Dee, D. P. 1995. On-line estimation of error covariance parameters for atmospheric data assimilation. Mon. Wea. Rev. 123, 1128-1145.
5. Eady, E. 1949. Long waves and cyclone waves. Tellus, 1, 33-52.
6. Farrell, B. F. 1988. Optimal excitation of neutral Rossby waves, J. Atmos. Sci. 45, 163-172.
7. Farrell, B. F. 1990. Small error dynamics and the predictability of atmospheric flows. J. Atmos. Sci. 47, 2409-2416.
8. Fischer, C. 1997. Estimation d'erreurs de prévision et d'analyse dans un modèle semi-géostrophique à l'aide d'un filtre de Kalman. Technical report, Météo-France/ CNRM. Note de centre GMME no. 48.
9. Fischer, C. 1998. Linear amplification and error growth in the 2D Eady problem with uniform potential vorticity. J Atmos. Sci., in press.
10. Gandin, L. 1963. Objective analysis of meteorological fields. Israel program for scientific translations. 242 pp., translated from Russian, 1965 edition.
11. Gauthier, P., P. Courtier and P. Moll, 1993. Assimilation of simulated wind lidar data with a Kalman filter. Mon. Wea. Rev. 121, 1803-1820.
12. Ghil, M. 1989. Meteorological data assimilation for oceanographers. Part I: description and theoretical framework. Dyn. Atmos. Oc. 13, 171-218.
13. Ghil, M., S. Cohn, T. J. K. Bube, and E. Isaacson. 1981. Applications of estimation theory to numerical weather predictions. In: Dynamic meteorology: data assimilation methods, L. Bengtsson, M. Ghil. E. Källén (eds.), New York: Springer Verlag, pp. 139-224.
14. Hoskins, B. 1975. The geostrophic momentum approximation and the semi-geostrophic equations. J. Atmos. Sci. 32, 233-242.
15. Hoskins, B. J. and F. P. Bretherton, 1972. Atmospheric frontogenesis models: mathematical formulation and solution. J. Atmos. Sci. 29, 11-36.
16. Houtekamer, P. 1995. The construction of optimal perturbations. Mon. Wea. Rev. 123, 2888-2898.
17. Joly, A. 1995. The stability of steady fronts and the adjoint method: nonmodal frontal waves. J. Atmos. Sci. 52, 3081-3108.
18. Joly, A. and A. J. Thorpe. 1991. The stability of time-dependent flows: an application to fronts in developing baroclinic waves. J. Atmos. Sci. 48, 163-182.
19. Kalman, R. 1960. A new approach to linear filtering and prediction problems. Trans. ASME 82D, 35-45.
20. Kalman, R. and R. Bucy. 1961. New results in linear filtering and prediction theory. Trans. ASME 83D, 95-108.
21. Lacarra, J.-F. and O. Talagrand, 1988. Short-range evolution of small perturbations in a barotropic model. Tellus 40A, 81-95.
22. Langland, R. H. and G. D. Rohany. 1996. Adjoint-based targeting of observations for FASTEX cyclones, in: Seventh Conf, on Mesoscale Proc., pp. 369-371. Reading, U.K.
23. Menard, R. and R. Daley, 1996. The application of Kalman smoother theory to the estimation of 4DVAR error statistics. Tellus 48A, 221-237.
24. Palmer, T. N., R. Gelaro, J. Barkmeijer and R. Buizza. 1998. Singular vectors, metrics and adaptive observations. J. Atmos. Sci. 55, 633-653.
25. Rabier, F., E. Klinker, P. Courtier and A. Hollingsworth. 1996. Sensitivity of forecast errors to initial conditions. Quart. J. Roy. Meteor. Soc. 122, 121-150.
26. Rutherford, I. 1972. Data assimilation by statistical interpolation of forecast error fields. J. Atmos. Sci. 29, 809-815.
27. Snyder, C. 1996. Summary of an informal workshop on adaptive observations and FASTEX. Bull. Am. Meteor. Soc. 77, 953-961 (meeting summary).