Assimilation of altimetric data in the mid-latitude oceans using the Singular Evolutive Extended Kalman filter with an eddy-resolving, primitive equation model

Journal of Marine Systems

Volumn 22, Issue 4, 1999, Pages 269-294

  Brasseur, P ^a   Ballabrera Poy, J ^a   Verron, J ^a  

^a LEGI   (France)

Author keywords

Altimetry; Data assimilation; Gulf Stream; Kalman filter; Ocean model; Operational oceanography

Indexed keywords

CIRCULATION MODELING; DATA ASSIMILATION; EDDY; KALMAN FILTER;

EID: 0032694847     PISSN: 09247963     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0924-7963(99)00044-5     Document Type: Article

References (43)

1. Ballabrera, J., Brasseur, P., Verron, J., 1999. Reduced order evolutive Kalman filter for altimeter data assimilation into an ocean primitive equation model, submitted.
2. Blanchet, I., Frankignoul, C., Cane, M.A., 1997. A comparison of adaptative Kalman filters for a tropical Pacific ocean model. Mon. Weather Rev. 125, 40-58.
3. Blayo, E., Verron, J., Molines, J.M., 1994. Assimilation of TOPEX/POSEIDON altimeter data into a circulation model of the North Atlantic. J. Geophys. Res. 99 (C12), 24691-24705.
4. Blayo, E., Mailly, T., Barnier, B., Brasseur, P., Le Provost, C., Molines, J.M., Verron, J., 1997. Complementarity of ERS-1 and TOPEX/Poseidon altimeter data in estimating the ocean circulation: assimilation into a model of the North Atlantic. J. Geophys. Res. 102 (C8), 18573-18584.
5. Bleck, R., 1978. Simulation of coastal upwelling frontogenesis with an isopycnic coordinate model. J. Geophys. Res. 83 (C12), 6163-6172.
6. Bleck, R., Boudra, D., 1986. Wind-driven spin-up in eddy-resolving ocean models formulated in isopycnic and isobaric coordinates. J. Geophys. Res. 91 (C6), 7611-7621.
7. Bleck, R., Smith, L.T., 1990. A wind-driven isopycnic coordinate model of the north and equatorial Atlantic Ocean: 1. Model development and supporting experiments. J. Geophys. Res. 95 (C3), 3273-3285.
8. Bouttier, F., 1993. The dynamics of error covariances in a barotropic model. Tellus 45A, 408-423.
9. Brasseur, P., Blayo, E., Verron, J., 1996. Predictability experiments in the north Atlantic Ocean: outcome of a quasi-geostrophic model with assimilation of TOPEX/POSEIDON altimeter data. J. Geophys. Res. 101 (C6), 14161-14173.
10. Burgers, G., van Leeuwen, P.J., Evensen, G., 1998. Analysis scheme in the ensemble Kalman filter. Mon. Weather Rev. 126, 1719-1724.
11. Cane, M.A., Kaplan, A., Miller, R.N., Tang, B., Hackert, E.C., Busalacchi, A.J., 1996. Mapping tropical Pacific sea level: data assimilation via a reduced state space Kalman filter. J. Geophys. Res. 101 (C10), 22599-22617.
12. Chassignet, E.P., Gent, P.R., 1991. The influence of boundary conditions on midlatitude jet separation in ocean numerical models. J. Phys. Oceanogr. 21, 1290-1299.
13. Cohn, S.E., Parrish, D.F., 1991. The behaviour of forecast error covariances for a Kalman filter in two dimensions. Mon. Weather Rev. 119, 1757-1785.
14. Cooper, M., Haines, K., 1996. Altimetric assimilation with water property conservation. J. Geophys. Res. 101 (C1), 1059-1077.
15. Courtier, P., 1995. Variational methods. Geophys. Mag., Ser. 2 1, Special Issue.
16. Dee, D.P., 1991. Simplification of the Kalman filter for meteorological data assimilation. Q. J. R. Meteorol. Soc. 117, 365-384.
17. De Mey, P., Robinson, A., 1987. Assimilation of altimeter eddy fields in a limited-area quasi-geostrophic model. J. Phys. Oceanogr. 17, 2280-2293.
18. DYNAMO Group, 1995. Dynamics of north Atlantic models. EEC Mast Technical Report, 334 pp.
19. Evensen, G., 1992. Using the extended Kalman filter with a multilayer quasi-geostrophic ocean model. J. Geophys. Res. 97 (C11), 17905-17924.
20. Evensen, G., 1994. Sequential data assimilation with a non-linear quasi-geostrophic model using Monte Carlo methods to forecast error statistics. J. Geophys. Res. 99 (C5), 10143-10162.
21. Evensen, G., van Leeuwen, P.J., 1996. Assimilation of Geosat altimeter data for the Agulhas current using the ensemble Kalman filter with a quasi-geostrophic model. Mon. Weather Rev. 124, 85-96.
22. Fu, L.L., Fukumori, I., Miller, R.N., 1993. Fitting dynamic models to Geosat sea level observations in the tropical Pacific Ocean: II. A linear, wind-driven model. J. Phys. Oceanogr. 23 (10), 2162-2181.
23. Fukumori, I., 1995. Assimilation of TOPEX sea level measurements with a reduced-gravity, shallow water model of the tropical Pacific Ocean. J. Geophys. Res. 100 (C12), 25027-25039.
24. Fukumori, I., Malanotte-Rizzoli, P., 1995. An approximate Kalman filter for ocean data assimilation: an example with an idealized Gulf Stream model. J. Geophys. Res. 100 (C4), 6777-6793.
25. Gauthier, P., Courtier, P., Moll, P., 1993. Assimilation of simulated wind lidar data with a Kalman filter. Mon. Weather Rev. 121, 1803-1820.
26. Gavart, M., De Mey, P., 1997. Isopycnal EOFs in the Azores current region: a statistical tool for dynamical analysis and data assimilation. J. Phys. Oceanogr. 27, 2146-2157.
27. Gelb, A. (Ed.), 1974. Applied Optimal Estimation. MIT Press, Cambridge, MA, 374 pp.
28. Haines, K., Malanotte-Rizzoli, P., Young, R.E., Holland, W.R., 1993. A comparison of two methods for the assimilation of altimeter data into a shallow-water model. Dyn. Atmos. Oceans 17, 89-133.
29. Ide, K., Bennett, A.F., Courtier, P., Ghil, M., Lorenc, A.C., 1995. Unified notation for data assimilation: operational, sequential and variational. J. Meteorol. Soc. Jpn. 75, 181-189.
30. Ikeda, M., Evensen, G., Cong, L., 1995. Comparison of sequential updating, Kalman filter and variational methods for assimilating Rossby waves using simulated Geosat altimeter data into a quasi-geostrophic model. J. Mar. Syst. 6, 15-30.
31. Jazwinski, A.H., 1970. Stochastic Processes and Filtering Theory. Academic Press, 376 pp.
32. Malanotte-Rizzoli, P., Fukumori, I., Young, R., 1996. A methodology for the construction of a hierarchy of Kalman filters for non-linear primitive equation models. In: Malanotte-Rizzoli, P. (Ed.), Modern Approaches to Data Assimilation in Ocean Modelling. Elsevier, Amsterdam.
33. McCalpin, J.D., Haidvogel, D.B., 1996. Phenomenology of the low-frequency variability in a reduced-gravity, quasi-geostrophic double-gyre model. J. Phys. Oceanogr. 26, 739-752.
34. Mellor, G., Ezer, T., 1991. A Gulf Stream model and an altimetry assimilation scheme. J. Geophys. Res. 96 (C5), 8779-8795.
35. Miller, R.N., 1986. Toward the application of the Kalman filter to regional open ocean modelling. J. Phys. Oceanogr. 16, 72-86.
36. Miller, R.N., 1994. Perspectives on advanced data assimilation in strongly non-linear systems. In: Brasseur, P., Nihoul, J. (Eds.), Data Assimilation NATO ASI Series I 19, 253 pp.
37. Oschlies, A., Willebrand, J., 1996. Assimilation of Geosat altimeter data into an eddy-resolving primitive equation model of the north Atlantic Ocean. J. Geophys. Res. 101, 14175-14190.
38. Pham, D.T., Verron, J., Roubaud, M.C., 1998. Singular evolutive extended Kalman filter with EOF initialization for data assimilation in oceanography. J. Mar. Syst. 16 (3-4), 323-340.
39. Pinardi, N., Rosati, A., Pacanowski, R., 1995. The sea-surface pressure formulation of rigid lid models. Implications for altimetric data assimilation studies. J. Mar. Syst. 6, 109-120.
40. Semtner, A.J., Chervin, R.M., 1992. Ocean general circulation from a global eddy-resolving model. J. Geophys. Res. 97, 5493-5550.
41. Smith, L.T., Boudra, D.B., Bleck, R., 1990. A wind-driven isopycnic coordinate model of the north and equatorial Atlantic Ocean: 2. The Atlantic Basin experiment. J. Geophys. Res. 95 (C8), 13105-13128.
42. Stammer, D., Tokmakian, R., Semtner, A., Wunsch, C., 1996. How well does a 1/4° global circulation model simulate large-scale oceanic observations? J. Geophys. Res. 101 (C10), 25779-25811.
43. Verron, J., Gourdeau, L., Pham, D.T., Murtugudde, R., Busalacchi, A., 1999. An extended Kalman filter to assimilate satellite altimeter data into a non-linear numerical model of the tropical Pacific: method and validation. J. Geophys. Res. 104 (3), 5441-5458.