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The ECMWF implementation of three‐dimensional variational assimilation (3D‐Var). II: Structure functions
Abstract
Structure functions for the 3D‐Var assimilation scheme of the European Centre for Medium‐Range Weather Forecasts are evaluated from statistics of the differences between two forecasts valid at the same time. Results compare satisfactorily with those reported in the existing literature. Non‐separability of the correlation functions is a pervasive feature. Accounting for non‐separability in 3D‐Var is necessary to reproduce geostrophic characteristics of the statistics, such as the increase of length‐scale with height for the horizontal correlation of the mass variable, sharper vertical correlations for wind than for mass and shorter horizontal length‐scales for temperature than for mass. In our non‐separable 3D‐Var, the vertical correlations vary with total wave‐number and the horizontal correlation functions vary with vertical level.
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Cited by
Atmospheric Modeling, Data Assimilation and Predictability
Kalnay, E. (2002) · doi:10.1017/cbo9780511802270 · Cited by 3,391
The ECMWF implementation of three‐dimensional variational assimilation (3D‐Var). I: Formulation
Courtier, P., Andersson, E., Heckley, W., Vasiljevic, D., Hamrud, M., Hollingsworth, A., Rabier, F., Fisher, M., & Pailleux, J. (1998) · Quarterly Journal of the Royal Meteorological Society · doi:10.1002/qj.49712455002 · Cited by 668
Self-citationThe Met. Office global three‐dimensional variational data assimilation scheme
Lorenc, A. C., Ballard, S. P., Bell, R. S., Ingleby, N. B., Andrews, P. L. F., Barker, D. M., Bray, J. R., Clayton, A. M., Dalby, T., Li, D., et al. (2000) · Quarterly Journal of the Royal Meteorological Society · doi:10.1002/qj.49712657002 · Cited by 478
Metadata
- Authors
- Rabier, F., McNally, A., Andersson, E., Courtier, P., Undén, P., Eyre, J., Hollingsworth, A., & Bouttier, F.
- Venue
- Quarterly Journal of the Royal Meteorological Society
- Publisher
- Wiley
- Published
- 1998-07
- Volume
- 124
- Issue
- 550
- Pages
- 1809-1829
- ISSN
- 0035-9009 (ISSN-L)
- 1477-870X
- OpenAlex
- W2134928158
- Cited by
- 228
- References
- 0
- FWCI
- 11.88
- Type
- journal article
- Language
- en
- Open access
- closed
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- Rabier, F., McNally, A., Andersson, E., Courtier, P., Undén, P., Eyre, J., Hollingsworth, A., & Bouttier, F. (1998). The ECMWF implementation of three‐dimensional variational assimilation (3D‐Var). II: Structure functions. Quarterly Journal of the Royal Meteorological Society. https://doi.org/10.1002/qj.49712455003
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