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Data assimilation and predictability

Multigrid methods for improving the variational data assimilation in numerical weather prediction

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Article: 20217 | Received 05 Dec 2012, Accepted 27 May 2014, Published online: 08 Jul 2014

References

  • Baker D. M. , Huang W. , Guo Y.-R. , Bourgeois A . A Three-Dimensional Variational (3DVAR) Data Assimilation System for Use with MM5.
  • Baker D. M. , Huang W. , Guo Y.-R. , Bourgeois A. J. , Xiao Q. N . A three-dimensional variational data assimilation system for use with MM5: implementation and initial results. Mon. Weather Rev. 2003; 132: 897–914.
  • Bouttier F. , Courtier P . Data assimilation concepts and methods. Meteorol. Train. Course Lect. Ser. 2002; 117: 279–285.
  • Bramble J. H. , Ewing R. E. , Pasciak J. E. , Shen J . The analysis of multigrid algorithms for cell centered finite difference methods. Adv. Comput. Math. 1996; 5: 1–34.
  • Briggs W. L. , Henson V. E. , McCormick S. F . A Multigrid Tutorial. 2000; SIAM, Philadelphia, USA. 2nd ed.
  • Downton R. A. , Bell R. S . The impact of analysis differences in a medium-range forecast. Meteorol. Mag. 1998; 117: 279–285.
  • Gratton S. , Tointc P. L. , Tshimangaa J . Conjugate gradients versus multigrid solvers for diffusion-based correlation models in data assimilation. Q. J. Roy. Meteorol. Soc. 2013; 139: 1481–1487.
  • Kwak D. Y . V-cycle multigrid for cell-centered finite differences. SIAM J. Sci. Comput. 1999; 21(2): 552–564.
  • Li W. , Xie Y. , Deng S.-M. , Wang Q . Application of the multigrid method to the two-dimensional Doppler radar radial velocity data assimilation. J. Atmos. Ocean. Technol. 2010; 27: 319–332.
  • Li W. , Xie Y. , He Z. , Han G. , Liu K. , co-authors . Application of the multigrid data assimilation scheme to the China seas temperature forecast. J. Atmos. Ocean. Technol. 2008; 25: 2106–2116.
  • Richardson D . The relative effect of model and analysis differences on ECMWF and UKMO operational forecasts. Proceedings of the ECMWF Workshop on Predictability, ECMWF. 1998; Reading, UK: Shinfield Park. 20–22 October 1997.
  • Xie Y. , Koch S. , McGinley J. , Albers S. , Bieringer P. E. , co-authors . A space-time multiscale analysis system: a sequential variational analysis approach. Mon. Weather. Rev. 2010; 139: 1124–1240.
  • Zou X. , Vandenberghe F. , Pondeca M. , Kuo Y.-H . Introduction to Adjoint Techniques and the MM5 Adjoint Modeling System. 1997; NCAR Technical Note 435. Online at: www.rap.ucar.edu/staff/vandenb/publis/TN435.pdf .