Multiple-truncation incrementaol approach for four-dimensional variational data assimilation

Quarterly Journal of the Royal Meteorological Society

Volumn 124, Issue 550, 1998, Pages 1889-1908

  Veerse F ^a  

^a JOINT RESEARCH CENTRE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

FORECASTING METHOD; WEATHER FORECASTING;

EID: 0032428039     PISSN: 00359009     EISSN: None     Source Type: Journal    
DOI: 10.1002/qj.49712455006     Document Type: Article

References (30)

1. Andersson, E., Pailleux, J., Thépaut, J.-N., Eyre, J., McNally, A., Kelly, G. and Courtier, P. 1994 Use of cloud-cleared radiances in three/four-dimensional variational data assimilation. Q. J. R. Meteorol. Soc., 120, 627-653
2. Andersson, E., Haseler, J., Undén, P., Courtier, P., Kelly, G., Vasiljević, D., Branković, C., Cardinali, C., Gaffard, C., Hollingsworth, A., Jakob, C., Janssen, P., Klinker, E., Lanzinger, A., Miller, M., Rabier, F., Simmons, A., Strauss, B., Thépaut, J.-N. and Viterbo, P. 1998 The ECMWF implementation of three-dimensional variational assimilation (3D-Var). III: Experimental results. Q. J. R. Meteorol. Soc., 124, 1831-1860
3. Courtier, P. 1995 Variational methods. Special issue of Geophys. Mag., 1, 1-19
4. Courtier, P., Andersson, E., Heckley, W., Kelly, G., Pailleux, J., Rabier, F., Thépaut, J.-N., Undén, P., Vasiljevic, D., Cardinali, C., Eyre, J., Hamrud, M., Haseler, J., Hollingsworth, A., McNally, A. and Stoffelen, A. 1993 'Variational assimilation at ECMWF'. ECMWF Tech. Memo. 194. Available from the European Centre for Medium-Range Weather Forecasts, Reading, UK
5. Courtier, P., Thépaut, J.-N. and Hollingsworth, A. 1994 A strategy for operational implementation of 4D-Var, using an incremental approach. Q. J. R. Meteorol. Soc., 120, 1367-1387
6. Courtier, P., Andersson, E., Heckley, W., Pailleux, J., Vasiljević, D., Hamrud, M., Hollingsworth, A., Rabier, F. and Fisher, M. 1998 The ECMWF implementation of three-dimensional variational assimilation (3D-Var). I: Formulation. Q. J. R. Meteorol. Soc., 124, 1783-1807
7. Daley, R. 1991 Atmospheric Data Analysis, Cambridge atmospheric and space sciences series, Cambridge University Press
8. Gilbert, J.-C. and Lemaréchal, C. 1989 Some numerical experiments with variable storage quasi-Newton algorithms. Math. Programming, B25, 407-435
9. Hackbusch, W. 1987 Multigrid Methods and Applications, Academic Press, New York
10. Haltiner, G. J. and Williams, R. T. 1980 Numerical Weather Prediction and Dynamic Meteorology, John Wiley & Sons, Chichester, UK
11. Huang, X.-Y., Gustafsson, N. and Källén, E. R. 1997 Using an adjoint model to improve an optimal interpolation based system. Tellus, 49A, 161-176
12. Ide, K., Courtier, P., Ghil, M. and Lorenc, A. C. 1997 Unified notation for data assimilation: operational, sequential and variational. J. Meteorol Soc. Jpn., 75-1B, 181-189
13. Järvinen, H., Thépaut, J.-N. and Courtier, P. 1996 Quasi-continuous variational data assimilation. Q. J. R. Meteorol. Soc., 122, 515-534
14. Le Dimet, F.-X. and Talagrand, O. 1986 Variational algorithms for analysis and assimilation of meteorological observations : theoretical aspects. Tellus, 38A, 97-110
15. Machenhauer, B. 1979 The spectral method. Pp. 121-175 in Numerical methods for weather prediction. WMO, GARP publication series, 17
16. Orszag, S. A. 1970 Transform method for calculation of vector coupled sums: application to the spectral form of the vorticity equation. J. Atmos. Sci., 27, 890-895
17. Parrish, D. F. and Derber, J. C. 1992 The National Meteorological Center's spectral statistical interpolation analysis system. Mon. Weather Rev., 120, 1747-1763
18. Pires, C., Vautard, R. and Talagrand, O. 1996 On extending the limits of variational assimilation in nonlinear chaotic systems. Tellus, 48A, 96-121
19. Pu, Z.-X., Kalnay, E., Derber, J. C. and Sela, J. G. 1997 Using sensitivity patterns to improve future forecast skill Q. J. R. Meteorol Soc., 123, 1035-1053
20. Rabier, F., Klinker, E., Courtier, P. and Hollingsworth, A. 1996 Sensitivity of forecast errors to initial conditions. Q. J. R. Meteorol. Soc., 122, 121-150
21. Rabier, F., McNally, A., Andersson, E., Courtier, P., Undén, P., Eyre, J., Hollingsworth, A. and Bouttier, F. 1998a The ECMWF implementation of three-dimensional variational assimilation (3D-Var). II: Structure functions. Q. J. R. Meteorol. Soc., 124, 1809-1829
22. Rabier, F., Thépaut, J.-N. and Courtier, P. 1998b Extended assimilation and forecast experiments with a four-dimensional variational assimilation system. Q. J. R. Meteorol. Soc., 124, 1861-1887
23. Rossby, C.-G. and collaborators 1939 Relation between variations in the intensity of the zonal circulation of the atmosphere and the displacement of the semi-permanent centers of action. J. Mar. Res., 2, 38-55
24. Tanguay, M., Bartello, P. and Gauthier, P. 1995 Four-dimensional data assimilation with a wide range of scales. Tellus, 47A, 974-997
25. Thépaut, J.-N. and Courtier, P. 1991 Four-dimensional variational data assimilation using the adjoint of a multilevel primitive-equation model. Q. J. R. Meteorol. Soc., 117, 1225-1254
26. Thépaut, J.-N., Courtier, P., Belaud, G. and Lemaître, G. 1996 Dynamical structure functions in a four-dimensional variational assimilation: A case-study. Q. J. R. Meteorol. Soc., 122, 535-561
27. Yang, W., Navon, I. M. and Courtier, P. 1996 A new hessian preconditioning method applied to variational data assimilation experiments using NASA general circulation models. Mon. Weather Rev., 124, 1000-1017
28. Zou, X. 1997 Tangent linear and adjoint of 'on-off processes and their feasibility for use in 4-dimensional variational data assimilation. Tellus, 49A, 3-31
29. Zupanski, D. 1997 A general weak constraint applicable to operational 4DVAR data assimilation systems. Mon. Weather Rev., 125, 2274-2292
30. Zupanski, M. 1996 A preconditioning algorithm for four-dimensional variational data assimilation. Mon. Weather Rev., 124, 2562-2573