Remember Me
Or use your Academic/Social account:


Or use your Academic/Social account:


You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.


Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message


Verify Password:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Publisher: Co-Action Publishing
Journal: Tellus A
Languages: English
Types: Article
The short-range evolution of small initial errors is numerically investigated with an f-plane shallow-water model. It is shown that this evolution can be approximated by a linearized model for meteorologically realistic situations, and for ranges of up to about 48 hours. The results are consistent with a description of the slow manifold as an attracting set along which the dynamics of the flow is dominated by an instability process. As a consequence of the relatively large time scale for the meteorologically significant components of the flow, the linear model valid for short periods can be further simplified to a constant coefficient model describing only the evolution of the large-scale components of the error. The possible implications of this result for the improvement of assimilation procedures are briefly discussed.DOI: 10.1111/j.1600-0870.1988.tb00408.x
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • Balgovind, R., Dalcher, A,, Ghil, M. and Kalnay, E. 1983. Mon. Wea. Rev. 1 1 1 , 701-722.
    • Basdevant, C., Legras, B., Sadourny, R. and Beland, M. 1981. A study of barotropic model flows: Intermittency, waves and predictability. 1. Armos. Sci. 38, 2305-2326.
    • Brauer. F. and Nohel, J. A. 1969. Qualitative theory of ordinary dixerential equations. W. A. Benjamin, New York.
    • Daley, R. 1980. On the optimal specification of the initial state for deterministic forecasting. Mon. Wea. Rec. 108, 1719-1735.
    • Daley, R. 1981. Normal mode initialization. In: Dynamic meteorology: data assimilation methods. eds. Bengtsson, L., Ghil, M. and Kallen, E . SpringerVerlag, New York, 77-109.
    • Eckmann, J.-P. and Ruelle, D. 1985. Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 57, Part I, 617--656.
    • Errico, R. M. 1982. Normal mode initialization and the generation of gravity waves by quasi-geostrophic forcing. J. Atmos. Sci. 39, 573-586.
    • Farge, M. and Sadourny, R. 1986. Inhibition of the two-dimensional turbulence by rotation (in French). Comptes Rendus de I'Acadimie des Science, Serie 12. Turbulence,
    • Ghil, M., Cohn, S . , Tavantzis, J., Bube, K. and Isaiicson, E . 1981. Application of estimation theory to numerical weather prediction. In : Dynamic meteorology: data assimilation methods, eds. Bengtsson, L., Ghill, M. and Kallen, E. Springer-Verlag. New York, 139-224.
    • Ghil, M., Cohn, S . E. and Dalcher, A. 1982. Sequential estimation, data assimilation and initialization. In: The interaction between objective analysis and initialization. Proceedings of the 14th Stanstead seminar. Publications in Meteorology 127, Department of Meteorology, McGill University, Montreal, ed. Williamson, D., 193 pp.
    • Hoffman, R. N. and Kalnay, E. 1983. Lagged average forecasting, an alternative to Monte Carlo forecasting. Tellus 35A, 1 0 0 - 1 18.
    • Jazwinski, A. H. 1970. Siochastic processes andfiltering theory. Academic Press, New York.
    • Le Dimet, F. X. and Talagrand, 0. 1986. Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects. Te11us 38A, 97-1 10.
    • Leith, C. E. 1974. Theoretical skill of Monte Carlo forecasts. Mon. Wea. Rev. 102, 409418.
    • Leith, C. E. 1980. Nonlinear normal mode initialization and quasi-geostrophic theory. J. Atmos. Sci. 37, 958- 968.
    • Lorenz, E. N. 1982. Atmospheric predictability experiments with a large numerical model. Tellus 34. 505- 513.
    • Machenhauer, B. 1977. On the dynamics of gravity oscillations in a shallow-water model with application to normal mode initialization. Beitr. Phys. Atmos. 50, 253-271.
    • Parlett, P. 1980. The symmetric eigenvalue problem. Series in computational mathematics, Prentice Hall, Englewood Cliffs, New Jersey.
    • Pedlosky, J. 1979. Geophysicalfhid dynamics. SpringerVerlag, New York.
    • Talagrand, 0. and Courtier, P. 1987. Variational assimilation of meteorological observations with the adjoint vorticity equation. Part I : Theory. Q . J . R . Meteorol. Soc. in press.
    • Thaning, L. 1984. On the existence of solutions to Machenhauer's nonlinear mode initialization. Tellus 36A, 30-41.
    • Thompson, P. D. 1986. A simple approximate method of stochastic-dynamic prediction for small initial errors and short range. M o n . Wea. ReD. 114. 1709- 1715.
    • Urban, B. 1985. Error maximum growth in simple meteorological models (in French). (Mtteorologie Nationale Internal report.)
    • Vautard, R. and Legras, B. 1986. Invariant manifolds, quasi-geostrophy and initialization. J. Atmos. Sci. 43, 565-584.
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article

Collected from