Application and comparison of kalman filters for coastal ocean problems: An experiment with FVCOM

Journal of Geophysical Research: Oceans

Volumn 114, Issue 5, 2009, Pages

  Chen, Changsheng ^a,b   Malanotte Rizzoli, Paola ^c   Wei, Jun ^c   Beardsley, Robert C ^d   Lai, Zhigang ^a   Xue, Pengfei ^a   Lyu, Sangjun ^c   Xu, Qichun ^a   Qi, Jianhua ^a   Cowles, Geoffrey W ^a  

^a UNIVERSITY OF MASSACHUSETTS DARTMOUTH   (United States)

^b SHANGHAI OCEAN UNIVERSITY   (China)

^c MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^d WOODS HOLE OCEANOGRAPHIC INSTITUTION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; DATA PROCESSING; DISCHARGE (FLUID MECHANICS); DYNAMICAL SYSTEMS; EXPERIMENTS; FLUID DYNAMICS; HYDRAULIC MODELS; KALMAN FILTERS; OCEANOGRAPHY;

COASTAL OCEAN; COASTAL OCEAN MODEL; COMPARISON RESULT; CONTINENTAL SHELVES; DATA ASSIMILATION METHODS; ENSEMBLE KALMAN FILTER; FINITE-VOLUME; FRESHWATER DISCHARGE; INTERTIDAL ZONES; MULTI-SCALE DYNAMICS; NUMERICAL OSCILLATION; OPEN BOUNDARIES; REDUCED-RANK KALMAN FILTER; RIVER DISCHARGE; SAMPLING LOCATION; SQUARE-ROOT; TIDAL FLUSHING; TIDAL FORCING; TIME AND SPACE; TIME-DEPENDENT; TWIN EXPERIMENTS; UNIVARIATE; UNSTRUCTURED GRID;

COASTAL ZONES;

COMPARATIVE STUDY; CONTINENTAL SLOPE; DATA ASSIMILATION; EXPERIMENTAL STUDY; FINITE VOLUME METHOD; FLUSHING; FRESHWATER INPUT; HYDRODYNAMICS; INTERTIDAL ENVIRONMENT; KALMAN FILTER; MULTIVARIATE ANALYSIS; NUMERICAL MODEL; PERTURBATION; RIVER DISCHARGE;

EID: 68749102407     PISSN: None     EISSN: 21699291     Source Type: Journal    
DOI: 10.1029/2007JC004548     Document Type: Article

References (37)

1. Bergamasco A. Malanotte-Rizzoli P. Thacker W.C. Long R.B. The seasonal steady circulation of the eastern Mediterranean determined with the adjoint method Deep-Sea Research, Part II 1993 40 6 1269-1298 Bergamasco, A., P. Malanotte-Rizzoli, W. C. Thacker, and R. B. Long (1993), The seasonal steady circulation of the eastern Mediterranean determined with the adjoint method, Deep Sea Res., 40, 1269-1298, doi: 10.1016/0967-0645(93)90070-4. (Pubitemid 24430450)
2. Bishop, C. H., B. J. Etherton, and S. J. Majumdar (2001), Adaptive sampling with the ensemble transform Kalman filter. Part I: Theoretical aspects, Mon. Weather Rev., 129, 420-436, doi:10.1175/1520-0493(2001)129<0420: ASWTET>2.0.CO;2.
3. Blanchet I. Frankignoul C. Cane M.A. A comparison of adaptive Kalman filters for a tropical pacific ocean model Monthly Weather Review 1997 125 1 40-58 Blanchet, I., C. Frankignoul, and M. A. Cane (1997), A comparison of adaptive Kalman filter for a tropical Pacific Ocean model, Mon. Weather Rev., 125, 40-58, doi:10.1175/1520-0493(1997) 125<0040: ACOAKF>2.0.CO;2. (Pubitemid 127586033)
4. Blumberg Alan F. Kantha Lakshmi H. OPEN BOUNDARY CONDITION FOR CIRCULATION MODELS. Journal of Hydraulic Engineering 1985 111 2 237-255 Blumberg, A. F., and L. H. Kantha (1985), Open boundary conditions for circulation models, J. Hydraul. Eng., 111, 237-255, doi:10.1061/(ASCE)0733- 9429(1985)111:2(237). (Pubitemid 15451768)
5. Buehner M. Malanotte-Rizzoli P. Reduced-rank Kalman filters applied to an idealized model of the wind-driven ocean circulation Journal of Geophysical Research C: Oceans 2003 108 6 23-1 - 23-15 Buehner, M., and P. Malanotte-Rizzoli (2003), Reduced-rank Kalman filters applied to an idealized model of the wind-driven ocean circulation, J. Geophys. Res., 108(C6), 3192, doi:10.1029/2001JC000873. (Pubitemid 37156359)
6. Buehner, M., P. Malanotte-Rizzoli, A. J. Busalacchi, and T. Inui (2003), Estimation of the tropical Atlantic circulation from altimetry data using a reduced-rank stationary Kalman filter, in Interhemispheric Water Exchanges in the Atlantic Ocean, Elsevier Oceanogr. Ser, vol.68, edited by G. Goni and P. Malanotte-Rizzoli, pp. 193-212, Elsevier, New York.
7. Burchard, H. (2002), Applied Turbulence Modeling in Marine Waters, 215 pp., Springer, Berlin.
8. Chen C. Liu H. Beardsley R.C. An unstructured grid, finite-volume, three-dimensional, primitive equations ocean model: Application to coastal ocean and estuaries Journal of Atmospheric and Oceanic Technology 2003 20 1 159-186 Chen, C., H. Liu, and R. C. Beardsley (2003), An unstructured, finite-volume, three-dimensional, primitive equation ocean model: Application to coastal ocean and estuaries, J. Atmos. Oceanic Technol., 20, 159-186, doi: 10.1175/1520-0426(2003 )020<0159:AUGFVT>2.0.CO;2. (Pubitemid 37164271)
9. Chen, C., R. C. Beardsley, and G. Cowles (2006a), An unstructured grid, finite-volume coastal ocean model-FVCOM user manual, 2nd ed., Tech. Rep. SMAST/UMASSD-06-0602,318 pp., Sch. for Mar. Sci. and Technol., Univ. of Mass.-Dartmouth, New Bedford.
10. Chen, C., R. C. Beardsley, and G. Cowles (2006b), An unstructured grid, finite-volume coastal ocean model (FVCOM) system, Oceanography, /9(1), 78-89.
11. Chen C. Huang H. Beardsley R.C. Liu H. Xu Q. Cowles G. A finite volume numerical approach for coastal ocean circulation studies: Comparisons with finite difference models Journal of Geophysical Research C: Oceans 2007 112 3 C03018 DOI 10.1029/2006JC003485 Chen, C., H. Huang, R. C. Beardsley, H. Liu, Q. Xu, and G. Cowles (2007), A finite volume numerical approach for coastal ocean circulation studies: Comparisons with finite difference models, J. Geophys. Res., 112, C03018, doi: 10.1029/2006JC003485. (Pubitemid 46850503)
12. Chen, C., Q. Xu, R. Houngton, and R. C. Beardsley (2008), A model-dye comparison experiment in the tidal mixing front zone on the southern flank of Georges Bank, J. Geophys. Res., 113, C02005, doi:10.1029/2007JC004106.
13. Cowles, G. (2008), Parallelization of the FVCOM coastal ocean model, Int. J. High Perform. Comput. Appl., 22(2), 177-193, doi:10.1177/1094342007083804.
14. Evensen, G. (1992), Using the extended Kalman filter with a multilayer quasi-geostrophic ocean model, J. Geophys. Res., 97(C11), 17,905-19,924, doi:10.1029/92JC01972.
15. Evensen, G. (1993), Open boundary condition for the extended Kalman filter with a quasi-geostrophic ocean model, J. Geophys. Res., 98(C9), 16,529-16,546, doi: 10.1029/93JC01365.
16. Evensen, G. (1994), Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics, J. Geophys. Res., 99, 10,143-10,162, doi:10.1029/94JC00572.
17. Evensen, G. (2003), The ensemble Kalman filter: Theoretical formulation and practical implementation, Ocean Dyn., 53(4), 343-367, doi: 10.1007/S10236-003-0036-9.
18. Evensen, G. (2004), Sampling strategies and square root analysis scheme for the EnKF, Ocean Dyn., 54, 539-560, doi:10.1007/s10236-004-0099-2.
19. Ghil, M. (1989), Meteorological data assimilation for oceanographers, I. description and theoretical framework, Dyn. Atmos. Oceans, 13(3-4), 171-218.
20. Ghil, M., and P. Malanotte-Rizzoli (1991), Data assimilation in meteorology and oceanography, Adv. Geophys., 33, 141-266.
21. Houtekamer P.L. Mitchell H.L. Data assimilation using an ensemble Kalman filter technique Monthly Weather Review 1998 126 3 796-811 Houtekamer, P., and H. L. Mitchell (1998), Data assimilation using an ensemble Kalman filter technique, Mon. Weather Rev., 126, 796-811, doi: 10.1175/1520-0493( 1998) 126<0796:DAUAEK>2.0.CO;2. (Pubitemid 128581567)
22. Kalman, R. E. (1960), A new approach to linear filtering and prediction problems, J. Basic Eng., 82D, 35-45.
23. Le Dimet, F., and O. Talagrand (1986), Variational algorithm for analysis and assimilation of meteorological observations: Theoretical aspects, Tellus, Ser. A, 38, 97-110.
24. Lorenc, A. C. (1981), A global three-dimensional multivariate statistical interpolation scheme, Mon. Weather Rev., 109, 701-721, doi:10.1175/1520-0493( 1981)109<0701 :AGTDMS>2.0.CO;2.
25. Mellor, G. L., and T. Yamada (1982), Development of a turbulence closure model for geophysical fluid problem, Rev. Geophys., 20, 851-875, doi: 10.1029/RG020i004p00851.
26. Morrow, R. A., and P. De Mey (1995), Four-dimensional assimilation of altimetric and cruise data in the Azores current in 1992-93, J. Geophys. Res., 100(C12), 25,007-25,025, doi:10.1029/95JC02315.
27. Nerger L. Hiller W. Schroter J. A comparison of error subspace Kalman filters Tellus, Series A: Dynamic Meteorology and Oceanography 2005 57 5 715-735 DOI 10.1111/j.1600-0870.2005.00141.x Nerger, L., W. Hiller, and J. Schröter (2005), A comparison of error subspace Kalman filters, Tellus, Ser. A, 57, 715-735. (Pubitemid 43931847)
28. Ngodock, H. E., G. A. Jacobs, and M. Chen (2006), The representer method, the ensemble Kalman filter and the ensemble Kalman smoother: A comparison study using a nonlinear reduced gravity ocean model, Ocean Modell., 12, 378-400, doi:10.1016/j.ocemod.2005.08.001.
29. Pham, D. T., J. Verron, and L. Gourdeau (1998a), Filters de Kalman singuliers évolutif pour l'assimilation de données en océnographie, C. R. Acad. Sci., Ser. IIa Sci. Terre Planet., 326, 255-260.
30. Pham, D. T., J. Verron, and M. C. Roubaud (1998b), Singular evolutive extended Kaiman filter with EOF initialization for data assimilation in oceanography, J. Mar. Syst., 16, 323-340, doi:10.1016/S0924-7963(97)00109-7.
31. Pietrzak, J., J. B. Jakobson, H. Burchard, H. J. Vested, and O. Petersen (2002), A three-dimensional hydrostatic model for coastal and ocean modeling using a generalized topography following co-ordinate system, Ocean Modell., 4, 173-205, doi:10.1016/S1463-5003(01)00016-6.
32. Smagorinsky, J. (1963), General circulation experiments with the primitive equations: I. The basic experiment, Mon. Weather Rev, 91, 99-164, doi: 10.1175/1520-0493( 1963)091 <0099:GCEWTP>2.3 .CO;2.
33. Thacker, W. C., and R. B. Long (1988), Fitting dynamics to data, J. Geophys. Res., 93(C2), 1227-1240, doi:10.1029/JC093iC02p01227.
34. Tziperman, E., and W. C. Thacker (1989), An optimal-control/adjoint- equations approach to studying the oceanic general circulation, J. Phys. Oceanogr., 19, 1471-1485, doi:10.1175/1520-0485(1989)019<1471: AOCEAT>2.0.CO;2.
35. Wang X. Bishop C.H. A comparison of breeding and ensemble transform Kalman filter ensemble forecast schemes Journal of the Atmospheric Sciences 2003 60 9 1140-1158 DOI 10.1175/1520-0469(2003)060<1140:ACOBAE>2.0.CO;2 Wang, X., and C. H. Bishop (2003), A comparison of breeding and ensemble transform Kalman filter ensemble forecast schemes, J. Atmos. Sci., 60, 1140-1158, doi:10.1175/1520-0469(2003)060<1140:ACOBAE>2.0. CO;2. (Pubitemid 36669567)
36. Whitaker, J. S., and T. M. Hamill (2002), Data assimilation without perturbed observations, Mon. Weather Rev, 130, 1913-1924, doi: 10.1175/1520-0493(2002) 130< 1913 :EDAWPO>2.0.CO;2.
37. Zang X. Malanotte-Rizzoli P. A comparison of assimilation results from the ensemble Kalman filter and a reduced-rank extended Kalman filter Nonlinear Processes in Geophysics 2003 10 6 477-491 Zang, X., and P. Malanotte-Rizzoli (2003), A comparison of assimilation results from the ensemble Kalman filter and the reduced-rank extended Kalman filter, Nonlinear Processes Geophys., 10, 6477-6491. (Pubitemid 38033930)