Abstract
Tropical instability waves (TIWs) are not easily simulated by ocean circulation models primarily because such waves are very sensitive to wind forcing. In this study, we investigate the impact of assimilating sea surface height (SSH) observations on the control of TIWs in an observing system simulation experiment (OSSE) context based on a regional model configuration of the tropical Atlantic. A Kalman filtering method with suitable adaptations is found to be successful when altimetric data are assimilated in conjunction with sea surface temperature and some in situ temperature/salinity profiles. In this rather realistic system, the TIW phase is roughly controlled with a single nadir observing satellite. However, a right correction of the TIW structure and amplitude requires at least two nadir observing satellites or a wide swath observing satellite. The significant impact of orbital parameters is also demonstrated: in particular, the Jason or GFO satellite orbits are found to be more suitable than the ENVISAT orbit. More generally, it is found that as soon as adequate sub-sampling exists (with periods of 5–10 days), the length of the repetitivity cycle of orbits does not have a significant impact.
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References
Arnold C, Dey C (1986) Observing-systems simulation experiments: past, present, and future. Bull Am Meteorol Soc 67:687–695
Athie G, Marin F (2008) Cross-equatorial structure and temporal modulation of intraseasonal variability at the surface of the tropical Atlantic Ocean. J Geophys Res 113:C08020. doi:10.1029/2007JC004332
Athie G, Marin F, Treguier AM, Bourles B, Guiavarc'h C (2009) Sensitivity of near-surface tropical instability waves to submonthly wind forcing in the tropical Atlantic. Ocean Modelling 30:241–255
Barnett T (1983) Interaction of the monsoon and Pacific trade wind system at interannual time scales. Part I: the equatorial zone. Mon Wea Rev 111:756–773
Barnier B, Brodeau L, le Sommer J, Molines J, Penduff T, Theetten S, Treguier A, Madec G, Biastoch A, Boening C, Dengg J, Gulev S, Bourdalle-Badie R, Chanut J, Garric G, Alderson S, Coward A, de Cuevas B, New A, Haines K, Smith G, Drijfhout S, Hazeleger W, Severijns C, Myers P (2007) Eddy permitting ocean circulation hindcasts of past decades. CLIVAR Exchanges 12:8–10
Bourlès B, Lumpkin R, McPhaden M, Hernandez F, Nobre P, Campos E, Yu L, Planton S, Busalacchi A, Moura A, Servain J, Trotte J (2008) The Pirata program: history, accomplishments, and future directions. Bull Am Meteorol Soc 89(8):1111–1125. doi:10.1175/2008BAMS2462.1
Brankart J, Ubelmann C, Testut C, Cosme E, Brasseur P, Verron J (2009) Efficient parameterization of the observation error covariance matrix for square root or ensemble Kalman filters: application to ocean altimetry. Mon Weather Rev 137:1908–1927
Brasseur P, Verron J (2006) The seek filter method for data assimilation in oceanography: a synthesis. Ocean Dyn 56:650–661
Caltabiano A, Robinson I, Pezzi L (2005) Multi-year satellite observations of instability waves in the tropical Atlantic Ocean. Ocean Sci 1:97–112. doi:10.5194/os-1-97-2005
Carton J, Giese B, Cao X, Miller L (1996) Impact of altimeter, thermistor, and expandable bathythermograph data on retrospective analyses of the Tropical Pacific Ocean. J Geophys Res 101:14147–14159
Chelton D, Esbensen S, Schlax M, Thum N, Freilich M (2001) Observations of coupling between surface wind stress and sea surface temperature in the Eastern Tropical Pacific. J Clim 14:1479–1498
Debost F (2004) Etude de nouveaux scénarios d’altimétrie satellitaire pour la reconstruction de la circulation océanique méso-échelle par assimilation de données altimétriques. Ph.D. thesis, Université Joseph Fourier—Grenoble I
Dutrieux P, Menkes C, Vialard J, Flament P, Blanke B (2008) Lagrangian study of tropical instability vortices in the Atlantic. J Phys Oceanogr 38(2):400–417
Flament P, Kennan S, Knox R, Niiller P, Bernstein R (1996) The three-dimensional structure of an upper ocean vortex in the Tropical Pacific. Nature 383:610–613
Foltz GR, Carton JA, Chassignet E (2004) Tropical instability vortices in the Atlantic Ocean. J Geophys Res 109:C03029. doi:10.1029/2003JC001942
Fu L, Ferrari R (2008) A summary of the workshop on mesoscale and submesoscale oceanic processes: explorations with wide-swath interferometry radar altimetry.
Greenslade D, Chelton D, Schlax M (1997) The midlatitude resolution capability of sea level fields constructed from single and multiple satellite altimeter datasets. J Atmos Oce Techn 14:849–870
Jochum M, Malanotte-Rizzoli P, Busalacchi A (2004) Tropical instability waves in the Atlantic Ocean. Ocean Modelling 7:145–163
Jochum M, Murtugudde R (2006) Temperature advection by tropical instability waves. J Phys Oceanogr 36:592–605
Jochum M, Cronin M, Kessler W, Shea D (2007) Observed temperature advection by tropical instability waves. Geophys Res Lett 34:L09604. doi:10.1029/2007GL029416
Kennan S, Flament P (2000) Observations of a tropical instability vortex. J Phys Oceanog 30:2277–2301
Large W, Yeager S (2004) Diurnal to decadal global forcing for ocean and sea-ice models. NCAR Technical Notes 22:18–221
Legeckis R (1977) Long waves in the equatorial Pacific Ocean: a view from geostationary satellite. Science 197:1179–1181
Lyman J, Johnson G, Kessler W (2007) Distinct 17- and 33-day tropical instability waves in subsurface observations. J Phys Oceanogr 37:855–872
Madec G (2008) NEMO ocean engine. Note du Pole de modelisation de l’Institut Pierre-Simon Laplace 27:1288–1619
Menkes C, Kennan S, Flament P, Dandonneau Y, Masson S, Biessy B, Marchal E, Eldin G, Grelet J, Montel Y, Morliere A, Lebourges-Dhaussy A, Moulin C, Champalbert G, Herband A (2002) A whirling ecosystem in the equatorial Atlantic. Geophys. Res Letters 29(11):1553. doi:10.1029/2001GL014576
Morrow R, De Mey P (1995) An adjoint assimilation of altimetric, surface drifter and hydrographic data in a quasi-geostrophic model of the Azores Current. J Geophys Res 100:25007–25025
Mourre B, de Mey P, Menard Y, Lyard F, le Provost C (2006) Relative performance of future altimeter systems and tide gauges in constraining a model of North Sea high-frequency barotropic dynamics. Ocean Dyn 56:473–486
Perigaud C (1990) Sea-level oscillations observed with GEOSAT along the two shear fronts of the Pacific North Equatorial Countercurrent. J Geophys Res 95:7239–7248
Pham D, Verron J, Roubaud M (1998) Singular evolutive extended Kalman filter for data assimilation in oceanography. J Mar Sys 16:323–340
Seidel H, Giese B (1999) Equatorial currents in the Pacific Ocean 1992–1997. J Geophys Res 104:7849–7863
Testut C, Brasseur P, Brankart J-M, Verron J (2003) Assimilation of sea-surface temperature and altimetric observations during 1992–1993 into an eddy-permitting primitive equation model of the North Atlantic Ocean. J of Marine Systems 41:291–316
Titaud O, Brankart J-M, Verron J (2011) On the use of finite-time Lyapunov exponents and vectors for direct assimilation of tracer images into ocean models. Tellus 63(5):1038–1051. doi:10.1111/j.1600-0870.2011.00533.x
Treguier A-M, Barnier B, De Miranda A, Molines J, Grima N, Imbard M, Madec G, Messager C, Reynaud T, Michel S (2001) An eddy-permitting model of the Atlantic circulation: evaluating open boundary conditions. J Geophys Res 106:22,115–22,129
Ubelmann C, Verron J, Brankart J-M, Cosme E, Brasseur P (2009) Impact of data from upcoming altimetric missions on the prediction of three-dimensional circulation in the tropical Atlantic Ocean. J Oper Oceanogr 2:3–14
Verron J (1990) Altimeter data assimilation into an ocean circulation model: sensitivity to orbital parameters. J Geophys Res 95:443–459
Vialard J, Menkes C, Anderson D, Balmaseda M (2003) Sensitivity of Pacific Ocean tropical instability waves to initial conditions. J Phys Oceanogr 33:105–121
Vincent P, Steunou N, Caubet E, Phalippou L, Rey L, Thouvenot E, Verron J (2006) AltiKa: a Ka-band altimetry payload and system for operational altimetry during the GMES period. Sensors 6:208–234
Von Schuckmann K, Brandt P, Eden C (2008) Generation of tropical instability waves in the Atlantic Ocean. J Geophys Res 113:C08034. doi:10.1029/2007JC004712
Willett C, Leben R, Lavin M (2006) Eddies and tropical instability waves in the eastern tropical Pacific: a review. Progr in Oceanogr 69:218–238
Acknowledgements
The authors would like to thank the CNES (Centre National d’Etudes Spatiales) for financial support and the IDRIS (Institut du Developpement et des Ressources en Informatique Scientifique) for assistance with computing. The calculations were performed using HPC resources from GENCI-IDRIS (Grant 2009-011279). Many thanks are also due to Jean-Marc Molines for helping the authors set up the model configuration.
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Ubelmann, C., Verron, J., Brankart, JM. et al. Assimilating altimetric data to control the tropical instability waves: an observing system simulation experiment study. Ocean Dynamics 62, 867–880 (2012). https://doi.org/10.1007/s10236-012-0539-3
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DOI: https://doi.org/10.1007/s10236-012-0539-3