Abstract
The use of adjoint methods in data assimilation is reviewed, and illustrative examples are presented.
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References
Bennett AF (2002) Inverse modeling of the ocean and atmosphere. Cambridge University Press, Cambridge
Broquet G, Edwards CA, Moore AM, Powell BS, Veneziani M, Doyle JD (2009a) Application of 4D-variational data assimilation to the California current system. Dyn Atmos Oceans 48:69–91
Broquet G, Moore AM, Arango HG, Edwards CA, Powell BS (2009b) Ocean state and surface forcing correction using the ROMS-IS4DVAR data assimilation system. Mercator Ocean Q Newsl 34:5–13
Broquet G, Moore AM, Arango HG, Edwards CA (2011) Corrections to ocean surface forcing in the California current system using 4D-variational data assimilation. Ocean Model 36:116–132
Chapman DC (1985) Numerical treatment of cross-shelf open boundaries in a barotropic coastal ocean model. J Phys Oceanogr 15:1060–1075
Courtier P (1997) Dual formulation of four-dimensional variational assimilation. Q J R Meteorol Soc 123:2449–2461
Courtier P, Thépaut J-N, Hollingsworth A (1994) A strategy for operational implementation of 4D-Var using an incremental approach. Q J R Meteorol Soc 120:1367–1388
Da Silva A, Pfaendtner J, Guo J, Sienkiewicz M, Cohn S (1995) Assessing the effects of data selection with DAO’s physical-space statistical analysis system. Proceedings of the second international WMO symposium on assimilation of observations in meteorology and oceanography, WMO.TD 651, Tokyo, 13–17 March 1995, pp 273–278
Derber J, Bouttier F (1999) A reformulation of the background error covariance in the ECMWF global data assimilation system. Tellus 51A:195–221
Doyle JD, Jiang Q, Chao Y, Farrara J (2009) High-resolution atmospheric modeling over the Monterey Bay during AOSN II. Deep Sea Res Part II Top Stud Oceanogr 56:87–99
Egbert GD, Bennett AF, Foreman MCG (1994) TOPEX/POSEIDON tides estimated using a global inverse method. J Geophys Res 99:24821–24852
El Akkraoui A, Gauthier P (2009) Convergence properties of the primal and dual forms of variational data assimilation. Q J R Meoteorol Soc 136:107–115
Fairall CW, Bradley EF, Godfrey JS, Wick GA, Ebson JB, Young GS (1996a) Cool-skin and warm layer effects on the sea surface temperature. J Geophys Res 101:1295–1308
Fairall CW, Bradley EF, Rogers DP, Ebson JB, Young GS (1996b) Bulk parameterization of air-sea fluxes for tropical ocean global atmosphere coupled-ocean atmosphere response experiment. J Geophys Res 101:3747–3764
Fisher M, Courtier P (1995) Estimating the covariance matrices of analysis and forecast error in variational data assimilation. ECMWF Technical Memoranda 220
Flather RA (1976) A tidal model of the northwest European continental shelf. Memoires Soc R Sci Liege 6(10):141–164
Gill AE (1982) Atmosphere-ocean dynamics. Academic Press, San Diego
Golub GH, Van Loan CF (1989) Matrix computations. Johns Hopkins University Press, Baltimore
Haidvogel DB, Arango HG, Hedstrom K, Beckmann A, Malanotte-Rizzoli P, Shchepetkin AF (2000) Model evaluation experiments in the north Atlantic basin: simulations in nonlinear terrain-following coordinates. Dyn Atmos Oceans 32:239–281
Hickey BM (1998) Coastal oceanography of western north America from the tip of Baja, California to Vancouver island. The Sea 11:345–393
Ide K, Courtier P, Ghil M, Lorenc AC (1997) Unified notation for data assimilation: operational, sequential and variational. J Meteorol Soc Jpn 75:181–189
Ingleby B, Huddleston M (2007) Quality control of ocean temperature and salinity profiles--historical and real-time data. J Mar Syst 65:158–175
Kelly KA, Beardsley RC, Limeburner R, Brink KH, Paduan JD, Chereskin TK (1998) Variability of the near-surface eddy kinetic energy in California current based on altimetric, drifter, and moored current data. J Geophys Res 103:13067–13083
Lanczos C (1961) Linear differential operators. Van Nostrand, New York
Liu WT, Katsaros KB, Businger JA (1979) Bulk parameterization of the air-sea exchange of heat and water vapor including the molecular constraints at the interface. J Atmos Sci 36:1722–1735
Lorenc AC (2003) Modelling of error covariances by 4D-Var data assimilation. Q J R Meteorol Soc 129:3167–3182
Moore AM, Arango HG, Broquet G, Powell BS, Weaver AT, Zavala-Garay J (2011a) The regional ocean modeling system (ROMS) 4-dimensional variational data assimilation systems. Part I: formulation and system overview. Progress in Oceanography (submitted)
Moore AM, Arango HG, Broquet G, Edwards C, Veneziani M, Powell B, Foley D, Doyle J, Costa D, Robinson P (2011b) The regional ocean modeling system (ROMS) 4-dimensional variational data assimilation systems. Part II: performance and application to the California current system. Progress in Oceanography (submitted)
Moore AM, Arango HG, Broquet G, Edwards C, Veneziani M, Powell B, Foley D, Doyle J, Costa D, Robinson P (2011c) The regional ocean modeling system (ROMS) 4-dimensional variational data assimilation systems. Part III: observation impact and observation sensitivity in the California current system. Progress in Oceanography (submitted)
Pedlosky J (1987) Geophysical fluid dynamics. Springer, New York
Sasaki Y (1970) Some basic formulations in numerical variational analysis. Mon Weather Rev 98:875–883
Shchepetkin AF, McWilliams JC (2005) The regional oceanic modeling system (ROMS): a split explicit, free-surface, topography-following-coordinate oceanic model. Ocean Model 9:347–404
Stammer D, Wunsch C, Giering R, Eckert C, Heimbach P, Marotzke J, Adcroft A, Hill CN, Marshall J (2002) The global ocean circulation during 1992–1997 estimated from ocean observations and a general circulation model. J Geophys Res. doi:10.1029/2001JC000888
Tshimanga J, Gratton S, Weaver AT, Sartenaer A (2008) Limited-memory preconditioners with application to incremental variational data assimilation. Q J R Meteorol Soc 134:751–769
Veneziani M, Edwards CA, Doyle JD, Foley D (2009) A central California coastal ocean modeling study: 1. Forward model and the influence of realistic versus climatological forcing. J Geophys Res. doi:10.1029/2008JC004774
Weaver AT, Courtier P (2001) Correlation modelling on the sphere using a generalized diffusion equation. Q J R Meteorol Soc 127:1815–1846
Weaver AT, Vialard J, Anderson DLT (2003) Three- and four-dimensional variational assimilation with a general circulation model of the tropical Pacific Ocean. Part I: formulation, internal diagnostics and consistency checks. Mon Weather Rev 131:1360–1378
Weaver AT, Deltel C, Machu E, Ricci S, Daget N (2005) A multivariate balance operator for variational ocean data assimilation. Q J R Meteorol Soc 131:3605–3625
Wunsch C, Heimbach P (2007) Practical global ocean state estimation. Physica D 230:197–208
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Moore, A.M. (2011). Adjoint Data Assimilation Methods. In: Schiller, A., Brassington, G. (eds) Operational Oceanography in the 21st Century. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0332-2_14
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DOI: https://doi.org/10.1007/978-94-007-0332-2_14
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