Variational assimilation of Lagrangian data in oceanography

Inverse Problems

Volumn 22, Issue 1, 2006, Pages 245-263

  Nodet, Maëlle ^a  

^a UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; OCEANOGRAPHY; SENSITIVITY ANALYSIS;

DYNAMICAL SYSTEMS; FOUR-DIMENSIONAL SPACETIME CIRCULATION; OCEANIC CIRCULATION;

LAGRANGE MULTIPLIERS;

EID: 31844456785     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/22/1/014     Document Type: Article

References (35)

1. Assenbaum M and Reverdin G 2005 Near real-time analysis of the mesoscale circulation during the POMME experiment Deep-sea Res. 152 1345-73
2. Assenbaum M and Reverdin G 2005 private communication
3. Courtier P, Thépaut J-N and Hollingsworth A 1994 A strategy for operational implementation of 4D-Var, using an incremental approach Q.J. R. Meteorol. Soc. 120 1367-87
4. De Mey P 1997 Data assimilation at the oceanic mesoscale: a review J. Meteorol. Soc. Japan B 75 415-27
5. Forget G 2004 4D-Var assimilation of Argo profiles applied to North Atlantic ocean climate monitoring PhD Thesis University of Bretagne Occidentale, Brest, France
6. Ghil M 1989 Meteorological data assimilation for oceanographers: I. Description and theoretical framework Dyn. Atmos. Oceans 13 171-218
7. Ghil M, Ide K, Bennett A, Courtier P, Kimoto M, Nagata M, Saiki M and Sato N 1997 Data Assimilation in Meteorology and Oceanography: Theory and Practice (Tokyo: Meteorological Society of Japan)
8. Ghil M and Manalotte-Rizzoli P 1991 Data assimilation in meteorology and oceanography Adv. Geophys. 23 141-265
9. Giering R and Kaminski T 1998 Recipes for adjoint code construction ACM Trans. Math. Softw. 24 437-74
10. Holland W R 1978 The role of mesoscale eddies in the general circulation of the ocean-numerical experiments using a wind-driven quasi-geostrophic model J. Phys. Oceanogr. 8 363-92
11. Ide K, Courtier P, Ghil M and Lorenc A C 1997 Unified notation for data assimilation: operational, sequential and variational J. Meteorol. Soc. Japan B 75 181-9
12. Ide K, Kuznetsov L and Jones C 2002 Lagrangian data assimilation for point-vortex system J. Turbulence 3 053
13. Jazwinski A H 1970 Stochastic Processes and Filtering Theory (Applied Mathematical Sciences vol 64) (New York: Academic)
14. Kamachi M and O'Brien J 1995 Continuous data assimilation of drifting buoy trajectory into an equatorial Pacific Ocean model J. Mar. Syst. 6 159-78
15. Kuznetsov L, Ide K and Jones C 2003 A method for assimilation of Lagrangian dataMon. Weather Rev. 131 2247-60
16. Le Dimet F X, Navon I M and Daescu D N 2002 Second-order information in data assimilation Mon. Weather Rev. 130 629-48
17. Le Dimet F X, Navon IM and Talagrand O 1986 Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects Tellus A 38 97
18. Lions J L 1968 Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles (Paris: Dunod Gauthier-Villars)
19. Lions J L, Temam R and Wang S 1992 On the equations of the large-scale ocean Nonlinearity 5 1007-53
20. Madec G, Delecluse P, Imbard M and Levy C 1998 OPA8.1 ocean general circulation model reference manual Notes du pole de Modelisation de l'IPSL vol 11 (Paris: Inst. Pierre Simon Laplace)
21. Mead J 2005 Assimilation of simulated float data in Lagrangian coordinates Ocean Model. 8 369-94
22. Molcard A, Piterbarg L, Griffa A, Özgökmen T and Mariano A 2003 Assimilation of drifter observations for the reconstruction of the Eulerian circulation field J. Geophys. Res. 108 (C3) 3056
23. Ngodock H E 1996 Data assimilation and sensitivity analysis: application to ocean circulation PhD Thesis University Joseph Fourier, Grenoble, France
24. Özgökmen T, Molcard A, Chin T, Piterbarg L and Griffa A 2003 Assimilation of drifter observation in primitive equation models of mid-latitude ocean circulation J. Geophys. Res. Oceans 108 (C7) 3238
25. Penenko V V and Obraztsov N N1976 A variational initialization method for the fields of the meteorological elements Sov. Meteorol. Hydrol. 11 1-11
26. Reynaud T 2006 private communication
27. Salman H, Kuznetsov L, Jones C and Ide K 2006 A method for assimilating Lagrangian data into a shallow-water equation ocean model Mon. Weather Rev. at press
28. Sheinbaum J and Anderson D L T 1990 Variational assimilation of XBT data: I J. Phys. Oceanogr. 20 672-88
29. Talagrand O 1991 The use of adjoint equations in numerical modeling of the atmospheric circulation Automatic Differentiation of Algorithms, Proc. 1st SIAM Workshop (Beckenridge, CO, USA) pp 169-80
30. Talagrand O and Courtier P 1987 Variational assimilation of meteorological observations with the adjoint vorticity equation. I: theory Q. J. R. Meteorol. Soc. 113 1349-76
31. Temam R and Ziane M 2004 Some mathematical problems in geophysical fluid dynamics Handbook of Mathematical Fluid Dynamics vol 3 ed S Friedlander and D Serre (Amsterdam: Elsevier)
32. Thacker W C and Long R B 1988 Fitting dynamics to data J. Geophys. Res. 93 1227-40
33. Wang Z, Navon I M, Le Dimet F X and Zou X 1992 The second order adjoint analysis: theory and applications Meteorol. Atmos. Phys. 50 3-20 (Historical Archive)
34. Weaver A T and Courtier P 2001 Correlation modeling on the sphere using a generalized diffusion equation Q. J. R. Meteorol. Soc. 127 1815-46
35. Weaver A T, Vialard J and Anderson D L T 2003 Three- and four-dimensional variational assimilation with an ocean general circulation model of the tropical Pacific Ocean: I. Formulation, internal diagnostics and consistency checks Mon. Weather Rev. 131 1360-78