191
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

A validation of the incremental formulation of 4D variational data assimilation in a nonlinear barotropic flow

&
Pages 557-572 | Received 03 Apr 1998, Accepted 16 Jul 1998, Published online: 15 Dec 2016

References

  • Andersson, E., Pailleux, J., Thèpaut, J. R. Eyre, A. P. McNally, G. A. Kelly and P. Courtier, 1994. Use of cloud-cleared radiances in 3D and 4D variational data assimilation. Q. J. R. Meteorol. Soc. 120, 627–653.
  • Courtier, P. and O. Talagrand, 1987. Variational assimilation of meteorological observations with the adjoint vorticity equations. Part II: Numerical results. Q. J. R. Meteorol. Soc. 113, 1329–1347.
  • Courtier, P., J.-N. Thépaut and A. Hollingsworth, 1994. A strategy for operational implementation of 4D-Var using an incremental approach. Q. J. R. Meteorol. Soc. 120, 1367–1387.
  • Courtier, P., E. Andersson, W. Heckley, J. Pailleux, D. Vasiljevié, M. Hamrud, A. Hollingsworth, F. Rabier and M. Fisher, 1998. The ECMWF implementation of three-dimensional variational assimilation (3D-Var). Part I: Formulation. Q. J. R. Meteorol. Soc., in press.
  • Cressman, G. P., 1959. An operative objective analysis scheme. Mon. Wea. Rev. 88, 367–374.
  • Daley, R., 1991. Atmospheric Data Analysis. Cambridge University Press, Cambridge, 457 pages.
  • Eyre, J. R., G. A. Kelly, A. P. McNally, E. Andersson and A. Persson, 1993. Assimilation of TOYS radiances information through one-dimensional variational analysis. Q. J. R. Meteorol. Soc. 119, 1427–1463.
  • Eyre, J. R., 1994. Assimilation of radio occultation measurements into a numerical weather prediction system. ECMWF Technical Memorandum 199, Reading, U.K, 34 pages.
  • Fisher, M. and P. Courtier, 1995. Estimating the covariance matrices of analysis and forecast error in variational data assimilation. ECMWF Technical Memorandum 220, Reading, U.K, 26 pages.
  • Gauthier, P. 1992. Chaos and quadri-dimensional data assimilation: a study based on the Lorenz model. Tellus 44A, 2–17.
  • Gauthier, P., L. Fillion, P. Koclas and C. Charette, 1996. Implementation of a 3D variational analysis at the Canadian Meteorological Centre. Proceedings of the 11th AMS Conference on Numerical weather prediction. Norfolk, Virginia, 19-23 August 1996.
  • Gilbert, J. C. and C. Lemarèchal, 1989. Some numerical experiments with variable-storage quasi-Newton algo-rithms. Mathematical Programming 45, 407–435.
  • Mahfouf, J.-F., R. Buizza and R. M. Errico, 1996. Strat-egy for including physical processes in the ECMWF variational data assimilation system.In: Proceedings of the ECMWF Workshop on Nonlinear aspects of data assimilation. Shinfield Park, Reading, U.K. RG2 9AX, 9-11 September 1996.
  • Orszag, S. A., 1971. Numerical simulation of incompressible flows within simple boundaries (I). Galerkin (spec-tral) representations. Stud. in Appl. Math. 50, 293–327.
  • Parrish, D. F. and J. C. Derber, 1992. The National Meteorological Center’s spectral statistical interpolation analysis system. Mon. Wea. Rev. 120, 1747–1763.
  • Pires, C., R. Vautard and O. Talagrand, 1996. On extending the limits of variational assimilation in non-linear chaotic systems. Tellus 48A, 96-121.
  • Rabier, F. and P. Courtier, 1992. Four-dimensional assimilation in the presence of baroclinic instability. Q. J. R. Meteorol. Soc. 118, 649–672.
  • Rabier, F., J. F. Mahfouf, M. Fisher, H. Järvinen, A. Sim-mons, E. Andersson, F. Bouttier, P. Courtier, M. Hamrud, J. Haseler, A. Hollingsworth, L. Isaksen, E. Klinker, S. Saarinen, C. Temperton, J. N. Thépaut, P. Undén and D. Vasiljevié, 1997. Recent experimentation on 4D-Var and first results from a simplified Kalman filter. ECMWF Technical Memorandum 240. Reading, U.K, 42 pages.
  • Sun, J., D. W. Flicker and D. K. Lilly, 1991. Recovery of three-dimensional wind and temperature fields from single-Doppler radar data. J. Atmos. Sci. 48, 876–890.
  • Tanguay, M., P. Butello and P. Gauthier, 1995. Four-dimensional data assimilation with a wide range of scales. Tellus 47A, 974–997.
  • Thépaut, J.-N., D. Vasiljevié, P. Courtier and J. Pailleux, 1993. Variational assimilation of conventional meteorological observations with a multilevel primitive-equation model. Q. J. R. Meteorol. Soc. 119, 153–186.
  • Thépaut, J.-N. and P. Courtier, 1991. Four-dimensional data assimilation using the adjoint of a multilevel primitive equation model. Q. J. R. Meteorol. Soc. 117, 1225–1254.
  • Yang, W., M. Navon and P. Courtier, 1996. A new Hessian preconditioning method applied to variational data assimilation experiments using NASA general circulation models. Mon. Wea. Rev. 124, 1000–1017.
  • Zou, X., Y.-H. Kuo and Y.-R. Guo, 1995. Assimilation of atmospheric radio refractivity using a nonhydrostatic adjoint model. Mon. Wea. Rev. 123, 2229–2249.
  • Zupanski, M. 1993. A preconditioning algorithm for large-scale minimization problems. Tellus 45A, 478–492.