메뉴 건너뛰기




Volumn 33, Issue 1-2, 2010, Pages 87-100

Implementation of a reduced rank square-root smoother for high resolution ocean data assimilation

Author keywords

High resolution ocean modelling; Kalman filtering; Retrospective data assimilation; Smoothing

Indexed keywords

ANALYSIS TIME; DATA ASSIMILATION; FILTER ALGORITHM; FIXED TIME INTERVAL; FUTURE OBSERVATIONS; GLOBAL ERRORS; HIGH RESOLUTION; KALMAN-FILTERING; MESOSCALE; MODEL ERRORS; MODEL-ERROR PARAMETERIZATION; MODIFIED ALGORITHMS; OCEAN CIRCULATION MODELS; OCEAN DATA ASSIMILATION; OCEAN MODELLING; REDUCED RANK; ROOT MEAN SQUARE ERRORS; SATELLITE TRACKS; SEA SURFACE HEIGHT; SQUARE-ROOT; STATE ESTIMATES; TIME DISTANCE; TWIN EXPERIMENTS; VERTICAL PROFILE;

EID: 77949918732     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2009.12.004     Document Type: Article
Times cited : (39)

References (54)
  • 3
    • 77949915921 scopus 로고    scopus 로고
    • An integrated system of sequential assimilation modules: sesam reference manual
    • Office Note. LEGI/MEOM, Grenoble, France.
    • Brankart, J., Testut, C., Parent, L., 2002. An integrated system of sequential assimilation modules: sesam reference manual. Tech. Rep., Office Note. LEGI/MEOM, Grenoble, France.
    • (2002) Tech. Rep.
    • Brankart, J.1    Testut, C.2    Parent, L.3
  • 4
    • 0142060727 scopus 로고    scopus 로고
    • Implementation of a multivariate data assimilation scheme for isopycnic coordinate ocean models: application to a 1993-96 hindcast of the North Atlantic Ocean circulation
    • Available from
    • Brankart, J.-M., Testut, C.-E., Brasseur, P., Verron, J., 2003. Implementation of a multivariate data assimilation scheme for isopycnic coordinate ocean models: application to a 1993-96 hindcast of the North Atlantic Ocean circulation. Journal of Geophysical Research 108 (19), 1-20. Available from: http://www-meom.hmg.inpg.fr/Web/Outils/SESAM/sesam.html.
    • (2003) Journal of Geophysical Research , vol.108 , pp. 11-20
    • Brankart, J.-M.1    Testut, C.-E.2    Brasseur, P.3    Verron, J.4
  • 5
    • 68249155004 scopus 로고    scopus 로고
    • Efficient parameterization of the observation error covariance matrix for square root or ensemble Kalman filters: application to ocean altimetry
    • Brankart J.-M., Ubelmann C., Testut C.-E., Cosme E., Brasseur P., Verron J. Efficient parameterization of the observation error covariance matrix for square root or ensemble Kalman filters: application to ocean altimetry. Monthly Weather Review 2009, 137:1908-1927.
    • (2009) Monthly Weather Review , vol.137 , pp. 1908-1927
    • Brankart, J.-M.1    Ubelmann, C.2    Testut, C.-E.3    Cosme, E.4    Brasseur, P.5    Verron, J.6
  • 6
    • 0032694847 scopus 로고    scopus 로고
    • Assimilation of altimetric data in the mid-latitude oceans using the seek filter with an eddy-resolving primitive equation model
    • Brasseur P., Ballabrera J., Verron J. Assimilation of altimetric data in the mid-latitude oceans using the seek filter with an eddy-resolving primitive equation model. Journal of Marine Systems 1999, 22:269-294.
    • (1999) Journal of Marine Systems , vol.22 , pp. 269-294
    • Brasseur, P.1    Ballabrera, J.2    Verron, J.3
  • 7
    • 33845918821 scopus 로고    scopus 로고
    • The seek filter method for data assimilation in oceanography: a synthesis
    • Brasseur P., Verron J. The seek filter method for data assimilation in oceanography: a synthesis. Ocean Dynamics 2006, 10.1007/s10236-006-0080-3.
    • (2006) Ocean Dynamics
    • Brasseur, P.1    Verron, J.2
  • 8
    • 34548487004 scopus 로고    scopus 로고
    • Data assimilation for marine monitoring and prediction: the MERCATOR operational assimilation systems and the MERSEA developments
    • Brasseur P., et al. Data assimilation for marine monitoring and prediction: the MERCATOR operational assimilation systems and the MERSEA developments. Quarterly Journal of the Royal Meteorological Society 2005, 131:3561-3582.
    • (2005) Quarterly Journal of the Royal Meteorological Society , vol.131 , pp. 3561-3582
    • Brasseur, P.1
  • 10
    • 33845624108 scopus 로고    scopus 로고
    • On the role of the GRACE mission in the joint assimilation of altimetry and TAO data in a tropical Pacific ocean model
    • Castruccio F., Verron J., Gourdeau L., Brankart J.-M., Brasseur P. On the role of the GRACE mission in the joint assimilation of altimetry and TAO data in a tropical Pacific ocean model. Geophysical Research Letters 2006, 33:L14616.
    • (2006) Geophysical Research Letters , vol.33
    • Castruccio, F.1    Verron, J.2    Gourdeau, L.3    Brankart, J.-M.4    Brasseur, P.5
  • 11
    • 0026074490 scopus 로고
    • The influence of boundary conditions on midlatitude jet separation in ocean numerical models
    • Chassignet E.P., Gent P.R. The influence of boundary conditions on midlatitude jet separation in ocean numerical models. Journal of Physical Oceanography 1991, 21:1290-1299.
    • (1991) Journal of Physical Oceanography , vol.21 , pp. 1290-1299
    • Chassignet, E.P.1    Gent, P.R.2
  • 12
    • 0001696802 scopus 로고
    • A fixed-lag Kalman smoother for retrospective data assimilation
    • Cohn S.E., Sivakumaran N.S., Todling R. A fixed-lag Kalman smoother for retrospective data assimilation. Monthly Weather Review 1994, 122:2838-2867.
    • (1994) Monthly Weather Review , vol.122 , pp. 2838-2867
    • Cohn, S.E.1    Sivakumaran, N.S.2    Todling, R.3
  • 13
    • 0028193070 scopus 로고
    • Sequential data assimilation with a non linear quasigeostrophic model using monte carlo methods to forecast error statistics
    • C
    • Evensen G. Sequential data assimilation with a non linear quasigeostrophic model using monte carlo methods to forecast error statistics. Journal of Geophysical Research 1994, 99(C5):10143-10162.
    • (1994) Journal of Geophysical Research , vol.99 , Issue.5 , pp. 10143-10162
    • Evensen, G.1
  • 14
    • 84884550570 scopus 로고    scopus 로고
    • The ensemble Kalman filter: theoretical formulation and practical implementation
    • Evensen G. The ensemble Kalman filter: theoretical formulation and practical implementation. Ocean Dynamics 2003, 53:343-367.
    • (2003) Ocean Dynamics , vol.53 , pp. 343-367
    • Evensen, G.1
  • 16
    • 0033942436 scopus 로고    scopus 로고
    • An ensemble Kalman smoother for nonlinear dynamics
    • Evensen G., van Leeuwen P.J. An ensemble Kalman smoother for nonlinear dynamics. Monthly Weather Review 2000, 128:1852-1867.
    • (2000) Monthly Weather Review , vol.128 , pp. 1852-1867
    • Evensen, G.1    van Leeuwen, P.J.2
  • 17
    • 68749116583 scopus 로고    scopus 로고
    • Fast data assimilation using a nonlinear Kalman filter and a model surrogate: an application to the columbia river estuary
    • Frolov S., Baptista A.M., Leen T.K., Lu Z., van der Merwe R. Fast data assimilation using a nonlinear Kalman filter and a model surrogate: an application to the columbia river estuary. Dynamics of Atmospheres and Oceans 2008, 10.1016/j.dynatmoce.2008.10.004.
    • (2008) Dynamics of Atmospheres and Oceans
    • Frolov, S.1    Baptista, A.M.2    Leen, T.K.3    Lu, Z.4    van der Merwe, R.5
  • 18
    • 0036565978 scopus 로고    scopus 로고
    • A partitioned Kalman filter and smoother
    • Fukumori I. A partitioned Kalman filter and smoother. Monthly Weather Review 2002, 130:1370-1383.
    • (2002) Monthly Weather Review , vol.130 , pp. 1370-1383
    • Fukumori, I.1
  • 19
    • 0028885156 scopus 로고
    • An approximate Kalman filter for ocean data assimilation; an example with an idealized Gulf stream model
    • Fukumori I., Malanotte-Rizzoli P. An approximate Kalman filter for ocean data assimilation; an example with an idealized Gulf stream model. Journal of Geophysical Research 1995, 100:6777-6793.
    • (1995) Journal of Geophysical Research , vol.100 , pp. 6777-6793
    • Fukumori, I.1    Malanotte-Rizzoli, P.2
  • 20
    • 0000758887 scopus 로고
    • Estimates from altimeter data of barotropic Rossby waves in Northwestern Atlantic ocean
    • Gaspar P., Wunsch C. Estimates from altimeter data of barotropic Rossby waves in Northwestern Atlantic ocean. Journal of Physical Oceanography 1989, 19:1821-1844.
    • (1989) Journal of Physical Oceanography , vol.19 , pp. 1821-1844
    • Gaspar, P.1    Wunsch, C.2
  • 21
    • 0035506430 scopus 로고    scopus 로고
    • Distance-dependent filtering of background error covariance estimates in an ensemble Kalman filter
    • Hamill T.M., Whitaker J.S., Snyder C. Distance-dependent filtering of background error covariance estimates in an ensemble Kalman filter. Monthly Weather Review 2001, 129:2776-2790.
    • (2001) Monthly Weather Review , vol.129 , pp. 2776-2790
    • Hamill, T.M.1    Whitaker, J.S.2    Snyder, C.3
  • 22
    • 0001587672 scopus 로고
    • The role of mesoscale eddies in the general circulation of the ocean-numerical experiments using a wind-driven quasi-geostrophic model
    • Holland W.R. The role of mesoscale eddies in the general circulation of the ocean-numerical experiments using a wind-driven quasi-geostrophic model. Journal of Physical Oceanography 1978, 8:363-392.
    • (1978) Journal of Physical Oceanography , vol.8 , pp. 363-392
    • Holland, W.R.1
  • 23
    • 0032024819 scopus 로고    scopus 로고
    • Data assimilation using an Ensemble Kalman Filter technique
    • Houtekamer P.L., Mitchell H.L. Data assimilation using an Ensemble Kalman Filter technique. Monthly Weather Review 1998, 126:796-811.
    • (1998) Monthly Weather Review , vol.126 , pp. 796-811
    • Houtekamer, P.L.1    Mitchell, H.L.2
  • 24
    • 0035129828 scopus 로고    scopus 로고
    • A sequential ensemble Kalman filter for Atmospheric data assimilation
    • Houtekamer P.L., Mitchell H.L. A sequential ensemble Kalman filter for Atmospheric data assimilation. Monthly Weather Review 2001, 129:123-137.
    • (2001) Monthly Weather Review , vol.129 , pp. 123-137
    • Houtekamer, P.L.1    Mitchell, H.L.2
  • 25
    • 70350302252 scopus 로고    scopus 로고
    • Model error representation in an operational Ensemble Kalman Filter
    • Houtekamer P.L., Mitchell H.L., Deng X. Model error representation in an operational Ensemble Kalman Filter. Monthly Weather Review 2009, 137:2126-2143.
    • (2009) Monthly Weather Review , vol.137 , pp. 2126-2143
    • Houtekamer, P.L.1    Mitchell, H.L.2    Deng, X.3
  • 26
    • 0001332237 scopus 로고
    • Stochastic processes and filtering theory
    • Academic Press
    • Jazwinski A.H. Stochastic processes and filtering theory. Mathematics in Science and Engineering 1970, vol. 64. Academic Press, 376pp.
    • (1970) Mathematics in Science and Engineering , vol.64 , pp. 376
    • Jazwinski, A.H.1
  • 28
    • 85024429815 scopus 로고
    • A new approach to linear filter and prediction problems
    • Kalman R.E. A new approach to linear filter and prediction problems. Journal of Basic Engineering 1960, 82:35-45.
    • (1960) Journal of Basic Engineering , vol.82 , pp. 35-45
    • Kalman, R.E.1
  • 29
    • 0023128668 scopus 로고
    • Wind-driven mid-latitude circulation - transition to barotropic instability
    • Le Provost C., Verron J. Wind-driven mid-latitude circulation - transition to barotropic instability. Dynamics of Atmospheres and Oceans 1987, 11:175-201.
    • (1987) Dynamics of Atmospheres and Oceans , vol.11 , pp. 175-201
    • Le Provost, C.1    Verron, J.2
  • 30
    • 0032730919 scopus 로고    scopus 로고
    • Data assimilation via error subspace statistical estimation. Part I: theory and schemes
    • Lermusiaux P.F.J., Robinson A.R. Data assimilation via error subspace statistical estimation. Part I: theory and schemes. Monthly Weather Review 1999, 127:1385-1407.
    • (1999) Monthly Weather Review , vol.127 , pp. 1385-1407
    • Lermusiaux, P.F.J.1    Robinson, A.R.2
  • 31
    • 0032710658 scopus 로고    scopus 로고
    • Data assimilation via error subspace statistical estimation. Part II: middle Atlantic Bight shelfbreak front simulations and ESSE validation
    • Lermusiaux P.F.J. Data assimilation via error subspace statistical estimation. Part II: middle Atlantic Bight shelfbreak front simulations and ESSE validation. Monthly Weather Review 1999, 127:1408-1432.
    • (1999) Monthly Weather Review , vol.127 , pp. 1408-1432
    • Lermusiaux, P.F.J.1
  • 32
    • 0033510455 scopus 로고    scopus 로고
    • Estimation and study of mesoscale variability in the strait of Sicily
    • Lermusiaux P.F.J. Estimation and study of mesoscale variability in the strait of Sicily. Dynamics of Atmospheres and Oceans 1999, 29:255-303.
    • (1999) Dynamics of Atmospheres and Oceans , vol.29 , pp. 255-303
    • Lermusiaux, P.F.J.1
  • 33
    • 33746367442 scopus 로고    scopus 로고
    • Uncertainty estimation and prediction for interdisciplinary ocean dynamics
    • Lermusiaux P.F.J. Uncertainty estimation and prediction for interdisciplinary ocean dynamics. Journal of Comparative Physiology 2006, 217:176-199.
    • (2006) Journal of Comparative Physiology , vol.217 , pp. 176-199
    • Lermusiaux, P.F.J.1
  • 34
    • 0038647050 scopus 로고    scopus 로고
    • Advanced interdisciplinary data assimilation: filtering and smoothing via error subspace statistical estimation
    • IEEE, Holland Publications
    • Lermusiaux, P.F.J., Robinson, A.R., Haley, P.J.H., Leslie, W.G., 2002. Advanced interdisciplinary data assimilation: filtering and smoothing via error subspace statistical estimation. In: Proceedings of The OCEANS 2002 MTS/IEEE Conference. IEEE, Holland Publications, pp. 795-802.
    • (2002) Proceedings of The OCEANS 2002 MTS/IEEE Conference , pp. 795-802
    • Lermusiaux, P.F.J.1    Robinson, A.R.2    Haley, P.J.H.3    Leslie, W.G.4
  • 35
    • 66849124453 scopus 로고    scopus 로고
    • Simultaneous estimation of covariance inflation and observation errors within an Ensemble Kalman Filter
    • Li H., Kalnay E., Miyoshi T. Simultaneous estimation of covariance inflation and observation errors within an Ensemble Kalman Filter. Quarterly Journal of the Royal Meteorological Society 2009, 135:523-533.
    • (2009) Quarterly Journal of the Royal Meteorological Society , vol.135 , pp. 523-533
    • Li, H.1    Kalnay, E.2    Miyoshi, T.3
  • 36
    • 77954852351 scopus 로고    scopus 로고
    • Nemo reference manual, ocean dynamics component: nemo-opa. preliminary version
    • France, ISSN No. Available from, 1288-1619
    • Madec, G., 2008. Nemo reference manual, ocean dynamics component: nemo-opa. preliminary version. Tech. Rep., Institut Pierre-Simon Laplace (IPSL), France, No. 27. ISSN No. 1288-1619, 91pp. Available from: http://www.locean-ipsl.upmc.fr/NEMO/general/manual/index.html.
    • (2008) Tech. Rep., Institut Pierre-Simon Laplace (IPSL) , vol.27 , pp. 91
    • Madec, G.1
  • 37
    • 30044432357 scopus 로고    scopus 로고
    • The representer method, the ensemble Kalman filter and the ensemble Kalman smoother: a comparison study using a nonlinear reduced gravity ocean model
    • Ngodock H.E., Jacobs G.A., Chen M. The representer method, the ensemble Kalman filter and the ensemble Kalman smoother: a comparison study using a nonlinear reduced gravity ocean model. Ocean Modelling 2006, 12:378-400.
    • (2006) Ocean Modelling , vol.12 , pp. 378-400
    • Ngodock, H.E.1    Jacobs, G.A.2    Chen, M.3
  • 38
    • 0004123472 scopus 로고
    • A Kalman filter for a two-dimensional shallow-water model: formulation and preliminary experiments
    • Washington, DC
    • Parrish, D.F., Cohn, S.E., 1985. A Kalman filter for a two-dimensional shallow-water model: formulation and preliminary experiments. Tech. Rep., Office Note 304. National Meteorological Center, Washington, DC.
    • (1985) Tech. Rep., Office Note 304. National Meteorological Center
    • Parrish, D.F.1    Cohn, S.E.2
  • 39
    • 0031742114 scopus 로고    scopus 로고
    • A singular evolutive extended Kalman filter for data assimilation in oceanography
    • Pham D.T., Verron J., Roubaud M.C. A singular evolutive extended Kalman filter for data assimilation in oceanography. Journal of Marine Systems 1998, 16:323-340.
    • (1998) Journal of Marine Systems , vol.16 , pp. 323-340
    • Pham, D.T.1    Verron, J.2    Roubaud, M.C.3
  • 41
    • 21644483999 scopus 로고
    • Maximum likelihood estimates of linear dynamic systems
    • Rauch H.E., Tung F., Striebel C.T. Maximum likelihood estimates of linear dynamic systems. AIAA Journal 1965, 3(8):1445-1450.
    • (1965) AIAA Journal , vol.3 , Issue.8 , pp. 1445-1450
    • Rauch, H.E.1    Tung, F.2    Striebel, C.T.3
  • 42
    • 34548487280 scopus 로고    scopus 로고
    • A reduced-order Kalman filter for data assimilation in physical oceanography
    • Rozier D., Cosme E., Birol F., Brasseur P., Brankart J., Verron J. A reduced-order Kalman filter for data assimilation in physical oceanography. SIAM Review 2007, 49(3):449-465.
    • (2007) SIAM Review , vol.49 , Issue.3 , pp. 449-465
    • Rozier, D.1    Cosme, E.2    Birol, F.3    Brasseur, P.4    Brankart, J.5    Verron, J.6
  • 44
    • 0037547173 scopus 로고    scopus 로고
    • Assimilation of sea-surface temperature and altimetric observations during 1992-1993 into an eddy permitting primitive equation model of the North Atlantic Ocean
    • Testut C.-E., Brasseur P., Brankart J.-M., Verron J. Assimilation of sea-surface temperature and altimetric observations during 1992-1993 into an eddy permitting primitive equation model of the North Atlantic Ocean. Journal of Marine Systems 2003, 40-41:291-316.
    • (2003) Journal of Marine Systems , pp. 291-316
    • Testut, C.-E.1    Brasseur, P.2    Brankart, J.-M.3    Verron, J.4
  • 45
    • 0028579150 scopus 로고
    • Suboptimal schemes for atmospheric data assimilation based on the Kalman filter
    • Todling R., Cohn S.E. Suboptimal schemes for atmospheric data assimilation based on the Kalman filter. Monthly Weather Review 1994, 122:2530-2557.
    • (1994) Monthly Weather Review , vol.122 , pp. 2530-2557
    • Todling, R.1    Cohn, S.E.2
  • 47
    • 0032449855 scopus 로고    scopus 로고
    • Suboptimal schemes for retrospective data assimilation based on the fixed-lag Kalman smoother
    • Todling R., Cohn S.E., Sivakumaran N.S. Suboptimal schemes for retrospective data assimilation based on the fixed-lag Kalman smoother. Monthly Weather Review 1998, 126:2274-2286.
    • (1998) Monthly Weather Review , vol.126 , pp. 2274-2286
    • Todling, R.1    Cohn, S.E.2    Sivakumaran, N.S.3
  • 48
    • 0033556665 scopus 로고    scopus 로고
    • The time mean circulation in the Agulhas region determined with the ensemble smoother
    • van Leeuwen P.J. The time mean circulation in the Agulhas region determined with the ensemble smoother. Journal of Geophysical Research 1999, 104:1393-1404.
    • (1999) Journal of Geophysical Research , vol.104 , pp. 1393-1404
    • van Leeuwen, P.J.1
  • 49
    • 0035302727 scopus 로고    scopus 로고
    • An ensemble smoother with error estimates
    • van Leeuwen P.J. An ensemble smoother with error estimates. Monthly Weather Review 2001, 129:709-728.
    • (2001) Monthly Weather Review , vol.129 , pp. 709-728
    • van Leeuwen, P.J.1
  • 50
    • 0000261492 scopus 로고    scopus 로고
    • Data assimilation and inverse methods in terms of a probabilistic formulation
    • van Leeuwen P.J., Evensen G. Data assimilation and inverse methods in terms of a probabilistic formulation. Monthly Weather Review 1996, 124:2898-2913.
    • (1996) Monthly Weather Review , vol.124 , pp. 2898-2913
    • van Leeuwen, P.J.1    Evensen, G.2
  • 51
    • 34547284487 scopus 로고    scopus 로고
    • Tidal flow forecasting using reduced-rank square root filter
    • Verlaan M., Heemink A.W. Tidal flow forecasting using reduced-rank square root filter. Stochastic Hydrology and Hydraulics 1997, 11:349-368.
    • (1997) Stochastic Hydrology and Hydraulics , vol.11 , pp. 349-368
    • Verlaan, M.1    Heemink, A.W.2
  • 52
    • 0033559539 scopus 로고    scopus 로고
    • An extended Kalman filter to assimilate satellite altimeter data into a non-linear numerical model of the Tropical Pacific: method and validation
    • Verron J., Gourdeau L., Pham D.T., Murtugudde R., Busalacchi A.J. An extended Kalman filter to assimilate satellite altimeter data into a non-linear numerical model of the Tropical Pacific: method and validation. Journal of Geophysical Research 1999, 104:5441-5458.
    • (1999) Journal of Geophysical Research , vol.104 , pp. 5441-5458
    • Verron, J.1    Gourdeau, L.2    Pham, D.T.3    Murtugudde, R.4    Busalacchi, A.J.5
  • 53
    • 77949916894 scopus 로고    scopus 로고
    • Technical remarks on smoother algorithms. NASA/GSFC/Data Assimilation Office, Office Note 99-02. Available from
    • Zhu, Y., Todling, R., Cohn, S.E., 1999. Technical remarks on smoother algorithms. NASA/GSFC/Data Assimilation Office, Office Note 99-02. Available from: http://dao.gsfc.nasa.gov/pubs/on/.
    • (1999)
    • Zhu, Y.1    Todling, R.2    Cohn, S.E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.