Skip to main content
Have a personal or library account? Click to login
Three-dimensional variational data assimilation for a limited area model Cover

Three-dimensional variational data assimilation for a limited area model

Open Access
|Jan 2001

References

  1. Berre , L . 1997 . Non-separable structure functions for the HIRLAM 3DVAR. HIRLAM Technical report 30 , November 1997 , 40 pp.
  2. Berre , L . 2000 . Estimation of synoptic and meso scale forecast error covariances in a limited area model . Mon. Wea. Rev . 128 , 644 667 .
  3. Boer , G. J . 1983 . Homogeneous and isotropic turbulence on the sphere . J. Atm. Sci . 40 , 154 163 .
  4. Bouttier , F . 1996 . Application of Kalman filtering to numerical weather prediction. Proceedings 1996 ECMWF Seminar on Data assimilation and Workshop on Non-linear aspects of data assimilation. ECMWF, Reading, UK, pp. 61 - 90 .
  5. Cohn , S. E. , Da Silva , A. , Guo , J. , Sienkiewicz , M. and Lamich , D . 1998 . Assessing the effects of data selection with the DAG physical-space statistical analysis system . Mon. Wea. Rev . 126 , 2913 2926 .
  6. Courtier , P. , Thépaut , J.-N. and Hollingsworth , A . 1994 . A strategy for operational implementation of 4D-Var using an incremental approach . Q. J. Roy. Meteorol. Soc . 120 , 1367 1388 .
  7. Courtier , P., Andersson, E., Heckley, W., Pailleux, J., Vasiljevic, D., Hamrud, M., Hollingsworth, A., Rabier, F. and Fisher, M. 1998 . The ECMWF imple-mentation of three dimensional variational assimila-tion (3D-Var). Part I: Formulation . Q. J. Roy. Meteorol. Soc . 124 , 1783– 1808 .
  8. Daley , R . 1985 . The analysis of synoptic scale divergence by a statistical interpolation procedure . Mon. Wea. Rev . 113 , 1066 1079 .
  9. Daley , R . 1991 . Atmospheric data analysis . Cambridge University Press , Cambridge , UK , 460 pp .
  10. Derber , J. and Bouttier , F . 1999 . A reformulation of the background error covariance in the ECMWF global data assimilation system . Tellus 51A , 195 221 .
  11. Fisher , M. and Courtier , P . 1995 . Estimating the covari-ance matrix of analysis and forecast errors in variational data assimilation. ECMWF Res. Dep. Technical Memorandum, No. 220.
  12. Gauthier , P. , Charette , C. , Fillion , L. , Koclas , P. and Laroche , S . 1999 . Implementation of a 3D variational data assimilation system at the Canadian Meteorolo-gical Centre. Part I: the global analysis . Atmosphere-Ocean . 37 , 103 156 .
  13. Gilbert , J. C. and Lemaréchal , C . 1989 . Some numerical experiments with variable storage quasi-Newton algo-rithms . Math. Prog. B 25 , 407 435 .
  14. Gustafsson , N . 1999 . The numerical scheme and lateral boundary conditions for the spectral HIRLAM and its adjoint. ECMWF Seminar Proceedings. Recent developments in numerical methods for atmospheric modelling. ECMWF, Reading, UK, 7-11 September 1998, pp. 335 - 363 .
  15. Gustafsson , N. and Huang , X.-Y . 1996 . Sensitivity experi-ments with the spectral HIRLAM and its adjoint . Tellus 48A , 501 517 .
  16. Gustafsson , N. , Lönnberg , P. and Pailleux , J . 1997 . Data assimilation for high resolution limited area models . J. Meteorol. Soc. Japan 75 , 367 382 .
  17. Gustafsson , N. , Källén , E. and Thorsteinsson , S . 1998 . Sensitivity of forecast errors to initial and lateral boundary conditions . Tellus 50A , 167 185 .
  18. Haugen , J.-E. and Machenhauer , B . 1993 . A spectral limited-area model formulation with time-dependent boundary conditions applied to the shallow-water equations . Mon. Wea. Rev . 121 , 2618 2630 .
  19. Hollingsworth , A. and Lönnberg , P . 1986 . The statistical structure of short-range forecast errors as determined from radiosonde data. Part I: the wind field . Tellus 38A , 111 136 .
  20. Houtekamer , P. L. , Lefaivre , L. , Derome , J. , Ritchie , H. and Mitchell , H. L . 1996 . A system simulation approach to ensemble prediction . Mon. Wea. Rev . 124 , 1225 1242 .
  21. Huang , X.-Y. , Gustafsson , N. and Källén , E . 1997 . Using an adjoint model to improve an optimum interpola-tion based data assimilation system . Tellus 49A , 161 176 .
  22. Laroche , S. , Gauthier , P. , St-James , J. and Morneau J . 1999 . Implementation of a 3D variational data assim-ilation system at the Canadian Meteorological Centre, Part II: the regional analysis . Atmosphere-Ocean 37 , 281 307 .
  23. Le Dimet , F. X. and Talagrand , O. 1986 . Variational algorithms for analysis and assimilation of meteorolo-gical observations. Theoretical aspects. Tellus 38A , 97 - 110 .
  24. Lewis , J. M. and Derber , J. C . 1985 . The use of adjoint equations to solve a variational adjustment problem with advective constraints . Tellus 37A , 309 327 .
  25. Lindskog , M. , Gustafsson , N. , Navascués , B. , Mogensen , K. S. , Huang , X.-Y. , Yang , X. , Andrx , U. , Berre , L. , Thorsteinsson , S. and Rantakokko , J . 2001 . Three-dimensional variational data assimilation for a limited area model. Part II: observation handling and assim-ilation experiments. Tellus 53A , this issue.
  26. Lorene , A . 1981 . A global three-dimensional multivariate statistical interpolation scheme . Mon. Wea. Rev . 109 , 701 721 .
  27. Lorenc , A . 1986 . Analysis methods for numerical weather prediction . Q. J. R. Meteor. Soc . 112 , 1177 1194 .
  28. Lorenc , A . 1988 . Optimal nonlinear objective analysis . Q. J. Roy. Meteor. Soc . 114 , 205 240 .
  29. Lorenc , A . 1997 . Development of an operational vari-ational assimilation scheme . J. Meteorol. Soc. Japan 75 , 339 346 .
  30. Lorenc , A. C. , Ballard , S. P. , Bell , R. S. , Ingleby , N. B. , Andrews , P. L. F. , Barker , D. M. , Bray , JR. ., Clayton , A. M. , Dalby , T. , Li , D. , Payne , T. J. and Saunders , F. W. 2000 . The Met. Office Global 3-Dimensional Variational Data Assimilation Scheme . Q. J. Roy. Meteor. Soc. , 26 , 2991 3012 .
  31. Machenhauer , B . 1977 . On the dynamics of gravity oscil-lations in a shallow water model, with application to normal mode initialization . Beitr. Phys. Atmos . 50 , 253 271 .
  32. Parrish , D. F. and Derber , J. C . 1992 . The National Meteorological Centre’s spectral statistical interpola-tion analysis system . Mon. Wea. Rev . 120 , 1747 1763 .
  33. 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). Part II: structure functions . Q. J. Roy. Meteorol. Soc . 124 , 1809 1830 .
  34. Rabier , F. , Thépaut , J.-N. and Courtier , P . 1998b . Extended assimilation and forecast experiments with a four-dimensional variational assimilation system . Q. J. Roy. Meteorol. Soc . 124 , 1861 1888 .
  35. Sadiki , W. , Fischer , C. and Geleyn , J.-F . 2000 . Mesoscale background error covariances: recent results obtained with the limited-area model ALADIN over Morocco . Mon. Wea. Rev . 128 , 3927 3935 .
  36. Sasaki , Y . 1958 . An objective analysis based on the vari-ational method . J. Meteorol. Soc. Japan 36 , 77 88 .
  37. Simmons , A. J. and Burridge , D. M . 1981 . An energy and angular momentum conserving vertical finite-difference scheme and hybrid vertical coordinates . Mon. Wea. Rev . 109 , 758 766 .
  38. Thiébaux , H. J. , Mitchell , H. L. and Shantz , D. W . 1986 . Horizontal structure of hemispheric forecast error cor-relations for geopotential and temperature . Mon. Wea. Rev . 114 , 1048 1066 .
  39. Zupanski , M . 1993 . Regional four-dimensional vari-ational data assimilation in a quasi-operational forecasting environment . Mon. Wea. Rev . 121 , 2396 2408 .
Language: English
Page range: 425 - 446
Submitted on: Mar 17, 2000
Accepted on: Feb 6, 2001
Published on: Jan 1, 2001
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2001 N. Gustafsson, L. Berre, S. Hörnquist, X.-Y. Huang, M. Lindskog, B. Navascués, K. S. Mogensen, S. Thorsteinsson, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.