data assimilation; two-way nested model; reduced-rank Kalman filter; Ligurian Sea
Abstract :
[en] A system of two nested models composed by a coarse resolution model of the Mediterranean Sea, an intermediate resolution model of the Provencal Basin and a high resolution model of the Ligurian Sea is coupled with a Kalman-filter based assimilation method. The state vector for the data assimilation is composed by the temperature, salinity and elevation of the three models. The forecast error is estimated by an ensemble run of 200 members by perturbing initial condition and atmospheric forcings. The 50 dominant empirical orthogonal functions (EOF) are taken as the error covariance of the model forecast. This error covariance is assumed to be constant in time. Sea surface temperature (SST) and sea surface height (SSH) are assimilated in this system. (c) 2006 Elsevier B.V. All rights reserved.
Research center :
Centre Interfacultaire de Recherches en Océanologie - MARE - GHER
Barth, Alexander ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Océanographie physique
Alvera Azcarate, Aïda ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > GeoHydrodynamics and Environment Research (GHER)
Vandenbulcke, Luc ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Département d'astrophys., géophysique et océanographie (AGO)
Language :
English
Title :
Multigrid state vector for data assimilation in a two-way nested model of the Ligurian Sea
Albérola C., Millot C., and Font J. On the seasonal and mesoscale variabilities of the Northern Current during the PRIMO-0 experiment in the western Mediterranean Sea. Oceanologica Acta 18 (1995) 163-192
Alvera-Azcárate A., Barth A., Bouallègue Z.B., Vandenbulcke L., Rixen M., and Beckers J.-M. Forecast Verification of a 3D model of the Ligurian Sea. The use of discrete wavelet transforms and EOFs in the skill assessment of spatial forecasts. Journal of Marine Systems 65 (2007) 460-483 10.1016/j.jmarsys.2005.09.015 (this issue)
Anderson J.L. An ensemble adjustment filter for data assimilation. Monthly Weather Review 129 (2001) 2884-2903
Barth A., Alvera-Azcárate A., Rixen M., Beckers J.-M., Testut C.-E., Brankart J.-M., and Brasseur P. Assimilation of sea surface temperature in a doubly, two-way nested primitive equation model of the Ligurian Sea. Geophysical Research Abstracts. Vol. 5. EGS-AGU-EUG Joint Assembly, Nice, France (2003) April, oral presentation
Beckers J.-M. Application of a 3D model to the Western Mediterranean. Journal of Marine Systems 1 (1991) 315-332
Bell M., Forbes R.M., and Hines A. Assessment of the FOAM global data assimilation system for real-time operational ocean forecasting. Journal of Marine Systems 25 (2000) 1-22
Bertino L., Evensen G., and Wackernagel H. Combining geostatistics and Kalman Filtering for data assimilation in an estuarine system. Inverse Methods 18 (2002) 1-23
Bishop C.H., Etherton B., and Majumdar S.J. Adaptive sampling with the ensemble transform kalman filter. Part I: theoretical aspects. Monthly Weather Review 129 (2001) 420-436
Brankart J.M., Testut C.E., Brasseur P., and Verron J. Implementation of a multivariate data assimilation scheme for isopycnic coordinate ocean modes: application to a 1993-96 hindcast of the North Atlantic Ocean circulation. Journal of Geophysical Research 108 C3 (2003)
Brasseur P., Ballabrera J., and Verron J. 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 22 4 (1999) 269-294
Brusdal K., Brankart J., Halberstadt G., Evensen G., Brasseur P., van Leeuwen P.J., Dombrowsky E., and Verron J. An evaluation of ensemble based assimilation methods with a layered OGCM. Journal of Marine Systems 40-41 (2003) 253-289
Buizza R., Miller M., and Palmer T.N. Stochastic representation of model uncertainties in the ECMWF EPS. Quarterly Journal of the Royal Meteorological Society 125 560 (1999) 2887-2908
Daley R. Atmospheric Data Analysis (1991), Cambridge University Press, New York 457 pp.
De Mey P., and Benkiran M. Ocean Forecasting, Conceptual Basis and Applications (2002), Springer-Verlag, Berlin 281-306 Ch. A multivariate reduced-order optimal interpolation method and its application to the Mediterranean basin-scale circulation
Etienne H., and Dombrowsky E. Estimation of the optimal interpolation parameters in a quasi-geostrophic model of the Northeast Atlantic using ensemble methods. Journal of Marine Systems 40-41 (2003) 317-339
Evensen G. The Ensemble Kalman Filter: theoretical formulation and practical implementation. Ocean Dynamics 53 (2003) 343-367
Evensen G. Sampling strategies and square root analysis schemes for the EnKF. Ocean Dynamics 54 (2004) 539-560
Fox A.D., and Maskell S.J. Two-way interactive nesting of primitive equation ocean models with topography. Journal of Physical Oceanography 25 (1995) 2977-2996
Fukumori I. A partitioned Kalman filter and smoother. Monthly Weather Review 130 (2002) 1370-1383
Ghil M., and Malanotte-Rizzoli P. Data assimilation in meteorology and oceanography. Advances in Geophysics 33 (1991) 141-265
Haines K. Ocean Forecasting, Conceptual Basis and Applications (2002), Springer-Verlag, Berlin 472 Ch. Assimilation of Satellite Altimetry in Ocean Models
Hamill T.M., Whitaker J.S., and Snyder C. Distance-dependent filtering of background error covariance estimates in an ensemble Kalman filter. Monthy Weather Review 129 (2001) 2776-2790
Heemink A.W., Verlaan M., and Segers A.J. Variance reduced ensemble Kalman filtering. Monthly Weather Review 129 (2001) 1718-1728
Houtekamer P.L., and Mitchell H.L. Data assimilation using ensemble Kalman filter technique. Monthly Weather Review 126 (1998) 796-811
Houtekamer P.L., Lefaivre L., Derome J., Ritchie H., and Mitchell H.L. A system simulation approach to ensemble prediction. Monthly Weather Review 124 (1996) 1225-1242
Kepert J.D. On ensemble representation of the observation-error covariance in the ensemble Kalman filter. Ocean Filter 54 (2004) 516-569
Keppenne C.L. Data assimilation into a primitive-equation model with a parallel ensemble Kalman filter. Monthly Weather Review 128 (2000) 1971-1981
Korres G., Hoteit I., and Triantafyllou G. Data assimilation into a Princeton Ocean Model of the Mediterranean Sea using the SEEK Filter. Marine Environmental Monitoring and Predictions. 37th Liège Colloquium (2004) oral presentation
Larnicol G., Ayoub N., and Le Traon P.Y. Major changes in Mediterranean Sea level variability from seven years of TOPEX/Poseidon and ERS-1/2 data. Journal of Marine Systems 33-34 (2002) 63-89
Lermusiaux P.F.J., and Robinson A.R. Data assimilation via error subspace statistical estimation. Part 1: theory and schemes. Monthly Weather Review 127 (1999) 1385-1407
Lorenz E.N. Available potential energy and the maintenance of the general circulation. Tellus 7 (1955) 157-167
Martin M.J., Bell M.J., and Hines A. Estimation of three-dimensional error covariance statistics for an ocean assimilation system. Ocean Applications Technical Note vol. 30 (2002), Meteorological Office, Bracknell
Mitchell H.L., and Houtekamer P.L. An adaptive ensemble Kalman filter. Monthly Weather Review 128 (2000) 416-433
Navarra A. Ocean Forecasting, Conceptual Basis and Applications (2002), Springer-Verlag, Berlin 131-148 Ch. Ensembles, Forecasts and Predictability
Nerger L., Hiller W., and Schröter J. A comparison of error subspace Kalman filters. Tellus. Series A, Dynamic Meteorology and Oceanography 57A (2005) 715-735
Nihoul J.C.J., Deleersnijder E., and Djenidi S. Modelling the general circulation of shelf seas by 3D k - ε{lunate} models. Earth-Science Reviews 26 (1989) 163-189
Onken R., Robinson A.R., Lermusiaux Jr. P.F.J., P.J.H., and Anderson L.A. Data-driven simulations of synoptic circulation and transports in the Tunisia-Sardinia-Sicily region. Journal of Geophysical Research 108 C9 (2003) 8123
Pham D.T. Stochastic methods for sequential data assimilation in strongly nonlinear systems. Monthly Weather Review 129 (2001) 1194-1207
Pham D.T., Verron J., and Roubaud M.C. A singular evolutive extended Kalman filter for data assimilation in oceanography. Journal of Marine Systems 16 3-4 (1998) 323-340 (October)
Pinardi N., Grezio A., Oddo P., and the ADRICOSM parters. Adriatic Sea integrated costal areas and river basin management system pilot project (ADRICOSM). 37th Congress Proceedings vol. 37 (2004), CIESM, Barcelona, Spain (June)
Robinson A., and Sellschopp J. Forecasting: Conceptual Basis and Applications (2002), Springer-Verlag 199-230 Ch. Rapid Assessment of the Coastal Ocean Environment
Sammari C., Millot C., and Prieur L. Aspects of the seasonal and mesoscale variabilities of the Northern Current in the Western Mediterranean Sea inferred from the PROLIG-2 and PROS-6 experiments. Deep-Sea Research. Part 1. Oceanographic Research Papers 42 6 (1995) 893-917
Spall M.A., and Robinson A.R. A new open-ocean hybrid coordinate primitive equation model. Mathematics and Computers in Simulations 31 (1989) 241-269
Stensrud D.J., Bao J.W., and Warner T.T. Using initial condition and model physics perturbations in short-range ensemble simulations of mesoscale convective systems. Monthly Weather Review 128 (2000) 2077-2107
Testut, C.-E., Brankart, J.-M., Parent, L., 2002. An integrated system of sequential assimilation modules. SESAM 3.1 reference manual. Tech. rep., MEOM-LEGI.
Testut C.-E., Brasseur P., Brankart J.-M., and 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 40-41 (2003) 291-316
Tippett M.K., Anderson J.L., Bishop C.H., Hamill T.M., and Whitaker J.S. Ensemble square-root filters. Monthly Weather Review 131 (2003) 1485-1490
Verlaan M., and Heemink A.W. Tidal flow forecasting using reduced rank square filters. Stochastic Hydrology and Hydraulics 11 (1997) 349-368
Whitaker J.S., and Hamill T.M. Ensemble data assimilation without perturbed observations. Monthly Weather Review 130 (2002) 1913-1924
Zavatarelli M., and Pinardi N. The Adriatic Sea modelling system: a nested approach. Annales Geophysicae 21 1 (2003) 345-364
