Practical global oceanic state estimation

Physica D: Nonlinear Phenomena - Tập 230 Số 1-2 - Trang 197-208 - 2007
Carl Wunsch1, Patrick Heimbach1
1Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge MA 02139, USA,

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Tài liệu tham khảo

ATOC Consortium, 1998, Ocean climate change: Comparison of acoustic tomography, satellite altimetry, and modeling, Science, 281, 1327, 10.1126/science.281.5381.1327

Ayoub, 2006, Estimation of boundary values in a North Atlantic circulation model using an adjoint method, Ocean Model., 12, 319, 10.1016/j.ocemod.2005.06.003

Backus, 1967, Numerical applications of a formalism for geophysical inverse theory, Geophys. J. Roy. Astron. Soc., 13, 247, 10.1111/j.1365-246X.1967.tb02159.x

Bechhoefer, 2005, Feedback for physicists: A tutorial essay on control, Rev. Modern Phys., 77, 783, 10.1103/RevModPhys.77.783

Bennett, 1992

Bennett, 2002

Bloom, 1996, Data assimilation using incremental analysis updates, Mon. Weather Rev., 124, 1256, 10.1175/1520-0493(1996)124<1256:DAUIAU>2.0.CO;2

Chelton, 2000, Satellite altimetry, 1

Dutkiewicz, 2005, Controls on ocean productivity and air–sea carbon flux: An adjoint model sensitivity study, Geophys. Res. Lett., 33, L02603, 10.1029/2005GL024987

Ferreira, 2005, Estimating eddy stresses by fitting dynamics to observations using a residual-mean ocean circulation model and its adjoint, J. Phys. Oceanogr., 35, 1891, 10.1175/JPO2785.1

G. Forget, C. Wunsch, Estimated global hydrographic variability, J. Phys. Oceanogr. (2006) (in press)

2001

Fukumori, 1999, Assimilation of TOPEX/Poseidon altimeter data into a global ocean circulation model: How good are the results?, J. Geophys. Res., 104, 25647, 10.1029/1999JC900193

G. Gebbie, P. Heimbach, C. Wunsch, Strategies for nested and eddy-resolving state estimation, J. Geophys. Res. (2006) (in press)

Giering, 1998, Recipes for adjoint code construction, ACM Trans. Math. Softw., 24, 437, 10.1145/293686.293695

Gilbert, 1989, Some numerical experiments with variable-storage quasi-Newton algorithms, Math. Program., 45(B), 407, 10.1007/BF01589113

Griewank, 2000

Griffies, 2005, Some ocean model fundamentals, 19

Heimbach, 2005, An efficient exact adjoint of the parallel MIT general circulation model, generated via automatic differentiation, Future Gener. Comput. Syst., 21, 1356, 10.1016/j.future.2004.11.010

P. Heimbach, R.M. Ponte, C. Evangelinos, G. Forget, M. Mazloff, D. Menemenlis, S. Vinogradov, C. Wunsch, Combining altimetric and all other data with a general circulation model, in: Proceedings of the 15 Years Progress in Radar Altimetry Symposium,Venice, 13–18 March 2006 (ESA Special Publication SP–614)

Hill, 2004, Evaluating carbon sequestration efficiency in an ocean circulation model by adjoint sensitivity, J. Geophys. Res., 109, C11005, 10.1029/2002JC001598

Kalnay, 1996, The NCEP/NCAR 40-year reanalysis project, Bull. Amer. Metereol. Soc., 77, 437, 10.1175/1520-0477(1996)077<0437:TNYRP>2.0.CO;2

A. Köhl, D. Stammer, B. Cornuelle, Interannual to decadal changes in the ECCO global synthesis, 2005 (submitted for publication)

Lanczos, 1961

Lea, 2000, Sensitivity analysis of the climate of a chaotic system, Tellus A, 52, 523, 10.1034/j.1600-0870.2000.01137.x

Levinson, 1947, The Wiener RMS (root mean square) error criterion in filter design and prediction, J. Math. Phys., 25, 261, 10.1002/sapm1946251261

Li, 2004, An adjoint sensitivity study of chlorofluorocarbons in the North Atlantic, J. Geophys. Res., 109, 10.1029/2003JC002014

M. Losch, P. Heimbach, Adjoint sensitivity of an ocean general circulation model to bottom topography, J. Phys. Oceanogr. (2006) (in press)

McKeague, 2005, Statistical inversion of South Atlantic circulation in an abyssal neutral density layer, J. Mar. Res, 63, 683, 10.1357/0022240054663240

Marchuk, 1995

Marotzke, 1999, Construction of the adjoint MIT ocean general circulation model and application to Atlantic heat transport sensitivity, J. Geophys. Res., 104, 29529, 10.1029/1999JC900236

Marshall, 1997, A finite-volume, incompressible Navier–Stokes model for studies of the ocean on parallel computers, J. Geophys. Res., 102, 5753, 10.1029/96JC02775

Menemenlis, 2005, NASA supercomputer improves prospects for ocean climate research, EOS, Trans. Amer. Geophys. Un., 86, 95

Morse, 1953

Naumann, 2006, Adjoint code by source transformation with OpenAD/F

Oreskes, 1994, Verification, validation, and confirmation of numerical models in the earth sciences, Science, 263, 641, 10.1126/science.263.5147.641

Parker, 1994

R.M. Ponte, C. Wunsch, D. Stammer, Spatial mapping of time-variable errors in TOPEX/POSEIDON sea surface height measurements, J. Atmos. Ocean. Technol. (2006) (in press)

Rall, 1981

Rauch, 1965, Maximum likelihood estimates of linear dynamic systems, AIAA J., 3, 1445, 10.2514/3.3166

Roemmich, 2000, The Argo project: Global ocean observations for understanding and prediction of climate variability, Oceanography, 13, 5, 10.5670/oceanog.2000.33

Sirkes, 1997, Finite difference of adjoint or adjoint of finite difference, Mon. Weather Rev., 125, 3373, 10.1175/1520-0493(1997)125<3373:FDOAOA>2.0.CO;2

Stammer, 2002, The global ocean state during 1992–1997, estimated from ocean observations and a general circulation model. Part I. Methodology and estimate state, J. Geophys. Res., 10.1029/2001JC000888

Stammer, 2002, State estimation in modern oceanographic research, EOS, 83, 10.1029/2002EO000207

Stammer, 2003, Volume, heat and freshwater transports of the global ocean circulation 1992–1997, estimated from a general circulation model constrained by WOCE data, J. Geophys. Res., 10.1029/2001JC001115

Stammer, 2005, Adjusting internal model errors through ocean state estimation, J. Phys. Oceanogr., 35, 1143, 10.1175/JPO2733.1

D. Stammer, A. Köhl, C. Wunsch, Estimating the ocean circulation and the geoid through a combined analysis of altimetric and GRACE geoid information, 2006 (submitted for publication)

Talagrand, 1997, Assimilation of observations, an introduction, J. Meteorol. Soc. Japan, 75, 191, 10.2151/jmsj1965.75.1B_191

Thacker, 1988, Fitting dynamics to data, J. Geophys. Res., 93, 1227, 10.1029/JC093iC02p01227

Thacker, 1989, The role of the Hessian matrix in fitting models to measurements, J. Geophys. Res., 94, 6177, 10.1029/JC094iC05p06177

Thirring, 1997

J. Utke, U. Naumann, M. Fagan, N. Tallent, M. Strout, P. Heimbach, C. Hill, D. Ozyurt, C. Wunsch, OpenAD/F: A modular open source tool for automatic differentiation of Fortran codes, ACM Trans. Math. Softw. (2006) (submitted for publication)

Wunsch, 1988, Transient tracers as a problem in control theory, J. Geophys. Res., 93, 8099, 10.1029/JC093iC07p08099

Wunsch, 1996

Wunsch, 2006

Wunsch, 2006, Decadal changes in the North Atlantic meridional overturning and heat flux, J. Phys. Ocenogr., 36, 2012, 10.1175/JPO2957.1

C. Wunsch, R. Ponte, P. Heimbach, Decadal trends in global sealevel patterns and implications for global mean errors, 2006 (in preparation)

Wunsch, 1998, Satellite altimetry, the marine geoid and the oceanic general circulation, Annu. Rev. Earth Planet. Sci., 26, 219, 10.1146/annurev.earth.26.1.219