Parallelization in the time dimension of four‐dimensional variational data assimilation

Quarterly Journal of the Royal Meteorological Society - Tập 143 Số 703 - Trang 1136-1147 - 2017
Michael Fisher1, Selime Gürol1
1European Centre for Medium-Range Weather Forecasts, Reading, UK

Tóm tắt

The current evolution of computer architectures towards increasing parallelism requires a corresponding evolution towards more parallel data assimilation algorithms. In this article, we consider parallelization of weak‐constraint four‐dimensional variational data assimilation (4D‐Var) in the time dimension. We categorize algorithms according to whether or not they admit such parallelization and introduce a new, highly parallel weak‐constraint 4D‐Var algorithm based on a saddle‐point representation of the underlying optimization problem. The potential benefits of the new saddle‐point formulation are illustrated with a simple two‐level quasi‐geostrophic model.

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Tài liệu tham khảo

Amodei L, 1995, Solution approachée pour un problème d'assimilation de données météorologiques avec prise en compte de l'erreur modele, C.R. Acad. Sci., Paris, 321, 1087

10.1090/qam/42792

10.1007/978-3-540-78841-6_10

10.1017/S0962492904000212

10.1007/s10589-006-9001-0

10.1007/s10589-009-9298-6

10.1002/qj.49712354414

10.1002/qj.49712051912

Courtier P, 2000, The ECMWF implementation of three‐dimensional variational assimilation (3D‐Var). I: Formulation, Q. J. R. Meteorol. Soc., 126, 2991

10.1175/1520-0493(1989)117<2437:AVCAT>2.0.CO;2

10.1029/94JC01894

10.1007/978-3-642-03711-5

10.1002/qj.2135

10.1175/1520-0469(1984)041<0807:ATLQGM>2.0.CO;2

10.1007/s11081-008-9051-5

10.1080/10556788.2016.1264398

10.1175/1520-0469(2001)058<3525:LRDIHA>2.0.CO;2

10.1016/j.compfluid.2010.11.025

10.1175/1520-0493(2001)129<0123:ASEKFF>2.0.CO;2

10.2151/jmsj1965.75.1B_181

10.1002/qj.49712656417

LagardeT.2000. ‘Nouvelle approche des methodes d'assimilation de données: les algorithmes de point selle’ PhD thesis. Université Paul Sabatier (Toulouse III): Toulouse France.

10.1111/j.1600-0870.1986.tb00459.x

10.1111/j.1600-0870.1985.tb00430.x

10.1256/qj.02.132

10.1007/978-1-4684-0071-7

10.1256/qj.05.129

10.1002/qj.49712656415

10.1002/qj.49712656415

10.1016/j.jcp.2016.02.040

10.1002/qj.32

10.1137/0907058

10.1256/003590002321042135

10.1175/1520-0493(2003)131<0189:LEOECI>2.0.CO;2

10.1256/qj.05.224

10.1111/j.1600-0870.2004.00057.x

10.1016/S0377-0265(00)00053-1

10.1175/1520-0493(1993)121<2396:RFDVDA>2.0.CO;2

10.1175/1520-0493(1997)125<2274:AGWCAT>2.0.CO;2