- Andersson, E., Pailleux, J., Thipaut, J.-N., Eyre, J. R., McNally, A. P., Kelly, G. A. and Courtier, P. 1992. Use of cloud-cleared radiances in three/four-dimensional variational data assimilation. Q. J. R. Meteorol. Soc. 120, 627–653.
- Bartello, P. and Holloway, G. 1991. Passive scalar transport in β-plane turbulence. J.Fluid Mech. 223, 521–536.
- Basdevant, C., Legras, B., Sadourny, R. and Béland, M. 1981. A study of barotropic model flows: Intermittency, waves and predictability. J. Atmos. Sc i. 38, 2305–2326.
- Basdevant, C. and Sadourny, R. 1983. Modelisation des échelles virtuelles dans la simulation numérique des écoulements turbulents bidimensionels. J. Mec. Theor. et Appl., Numéro Special, 243–269.
- Bouttier, F. 1993. The dynamics of error covariances in a barotropic model. Tellus 45A,408–423.
- Bouttier, F. 1994. A dynamical estimation of error covariances in an assimilation system. Mon. Wea. Re v. 122, 2376–2390.
- Cohn, S. E. and Parrish, D. F. 1991. The behavior of forecast error covariances for a Kalman filter in two dimensions. Mon. Wea. Re v. 119, 1757–1785.
- Courtier, P., Derber, J. C., Errico, R. M., Louis, J. F. and VukiCevié, T. 1993. Important literature on the use of adjoint, variational methods and the Kalman filter in meteorology. Tellus 45A, 342–357.
- 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.
- Gauthier, P. 1992. Chaos and quadri-dimensional data assimilation: a study based on the Lorenzmodel. Tellus 44A, 2–17.
- Gauthier, P., Courtier, P. and Moll, P. 1993. Assimilation of simulated wind Lidar data with a Kalman filter. Mon. Wea. Re v. 121, 1803–1820.
- Gilbert, J. C. and Lemaréchal, C. 1989. Some numerical experiments with variable-storage quasi-Newton algorithms. Mathematical Programming 45, 407–435.
- Gill, P. E. and Wright, M. H. 1981. Practical optimization. Academic Press, 401 pp.
- Jazwinski, A. 1970. Stochastic processes and filtering theory. Academic Press, 376 pp.
- Herring, J. R. 1984. The predictability of quasigeo-strophic flows.In: Predictability of Fluid Motions, AIP Conference Proceedings, no. 106, Ed.: G. Holloway and B. J. West. American Institute of Physics.
- Lacarra, J. F. and Talagrand, O. 1988. Short-range evolution of small perturbations in a barotropic model. Tellus 40A, 81-95.
- LeDimet, F. X. and Talagrand, O. 1986. Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects. Tellus 38A, 97-110.
- Leith, C. E. 1971. Atmospheric predictability and two-dimensional turbulence. J. Atmos. Sc i. 28, 145–161.
- Leith, C. E. and Kraichnan, R. H. 1972. Predictability of turbulent flow. J. Atmos. Sc i. 29, 1041–1058.
- Lesieur, M. 1990. Turbulence in fluids, 2nd edition. Kluwer, Dordrecht, 412 pp.
- Lewis, J. M. and Derber, J. C. 1985. The use of adjoint equations to solve a variational adjustment problem with advective constraints. Tellus 37A, 309–322.
- Litherland, J. and Holloway, G. 1984. Statistical theory of the predictability of equivalent barotropic motion on a fl-plane.In: Predictability of fluid motions, AIP Conference Proceedings, no. 106, ed.: G. Holloway and B. J. West. American Institute of Physics.
- Lorenz, E. N. 1969. The predictability of a flow which possesses many scales of motion. Tellus 21, 289–307.
- Métais, O. and Lesieur, M. 1986. Statistical predictability of decaying turbulence. J.Atmos. Sci. 43, 857–870.
- Miller, R. N., Ghil, M. and Gauthiez, F. 1994. Advanced data assimilation in strongly nonlinear dynamical systems. J. Atmos. Sc i. 51, 1037–1056.
- Molteni, F. and Palmer, T. N. 1993. Predictability and finite-time instability of the Northernwinter circulation. Q. J. R. Meteorol. Soc. 119, 269–298.
- Navon, I. M. and Legler, D. M. 1987. Conjugate-gradient methods for large scale minimization in meteorology. Mon. Wea. Re v. 115, 1479–1502.
- Orszag, S. A. 1971. Numerical simulation of incompressible flows within simple boundaries (I).Galerkin (spectral) representations. Stud. in Appl Math. 50, 293–327.
- Rhines, P. B. 1975. Waves and turbulence on a beta-plane. J. Fluid Mech. 69, 417–433.
- Talagrand, O. and Courtier, P. 1987. Variational assimilation of meteorological observations with the adjoint vorticity equation (I). Theory. Q. J. R. Meteorol. Soc. 113, 1311–1328.
- Thepaut, J.-N. and Courtier, P. 1991. Four-dimensional data assimilation using the adjoint of a multilevel primitive equation model. Q. J. R. Meteorol. Soc. 117, 1225–1254.
- Thepaut, J.-N., Vasiljevic, D., Courtier, P. and Pailleux, J. 1993. Variational assimilation of conventional observations with a multi-level primitive-equation model. Q. J. R. Meteorol. Soc. 119, 153–186.
Tellus A: Dynamic Meteorology and Oceanography
Volume 47, 1995 - Issue 5
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Original Articles
Four-dimensional data assimilation with a wide range of scales
Monique TanguayMeteorological Research Branch, Atmospheric Environment Service, Dorval (Québec)CanadaH9P JJ3
, Peter BartelloMeteorological Research Branch, Atmospheric Environment Service, Dorval (Québec)CanadaH9P JJ3
& Pierre GauthierMeteorological Research Branch, Atmospheric Environment Service, Dorval (Québec)CanadaH9P JJ3
Pages 974-997
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Received 22 Aug 1994, Accepted 12 Dec 1994, Published online: 15 Dec 2016
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