Ocean Science Journal

, Volume 48, Issue 2, pp 161–172 | Cite as

Analysis of horizontal and vertical ring structure based on analytical model and satellite data: Application to the North Brazil Current Rings



A theoretical analysis of the principal oceanic ring parameters (tangential and angular velocities, shape function, horizontal and vertical scale of the ring) is described. The theoretical model consists of a reduced gravity model of the lens-like vortices with solid body rotation. The application of this approach is tested by comparison with data from the North Brazil Current Rings Experiment and remote sensing data. Specifically, we used the data corresponding to the surfaceintensified North Brazil Current ring (R-3) surveyed in February–March 1999, using direct velocity and hydrographical measurements. The theoretical model was used for evaluating the geometrical structure of the surface-intensified rings that produce remarkable signals in satellite data. The principal ring parameters from the model were compared with those from satellite data (altimetry and drifter information), which were estimated by using the method of minimization of the multivariable objective functions. Although the proposed model is linear in its conception, a good agreement was observed between the model and the primary characteristics of the observed rings. The model, however, allows for improvement in its assumptions, since its application is rather limited to intense ocean rings.

Key words

altimetry drifters ocean ring Brazil Current retroflection 


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  1. Castelão GP, Johns WE (2011) Sea surface structure of North Brazil Current ring derived from shipboard and moored acoustic Doppler current profiler observations. J Geophys Res 116:C01010. doi:10.1029/2010JC006575CrossRefGoogle Scholar
  2. Cruz Gómez RC, Bulgakov SN (2007) Remote sensing observations of the coherent and non-coherent ring structures in the vicinity of Lesser Antilles. Annales Geophysicae 25(2):331–340CrossRefGoogle Scholar
  3. Cruz Gómez RC (2010) Interacción de los Giros de la Corriente Norte de Brasil con los estrechos de las Antillas. Ph.D. Thesis, Universidad Nacional Autónoma de México, 114 pGoogle Scholar
  4. Didden N, Schott F (1993) Eddies in the North Brazil Current retroflexion region observed by GEOSAT altimetry. J Geophys Res — Oceans 98:20121–20131CrossRefGoogle Scholar
  5. Fonseca CA, Goni GJ, Johns WE, Campos EJ (2004) Investigation of the North Brazil Current retroflection and North Countercurrent variability. Geophys Res Lett 31:L21304. doi:10.1029/2004GL02005CrossRefGoogle Scholar
  6. Fratantoni DM, Johns WE, Townsend TL (1995) Rings of the North Brazil Current: their structure and behaviour inferred from observations and a numerical simulation. J Geophys Res — Oceans 100(C6):10633–10654CrossRefGoogle Scholar
  7. Fratantoni DM, Glikson DA (2002) North Brazil Current ring generation and evolution observed with SeaWiFS. J Phys Oceanogr 32:1058–1074CrossRefGoogle Scholar
  8. Fratantoni DM, Richardson PL (2006) The evolution and demise of North Brazil Current Rings. J Phys Oceanogr 36(7):1241–1264CrossRefGoogle Scholar
  9. Garraffo ZD, Johns WE, Chassignet EP, Goni GJ (2003) North Brazil Current rings and transport of southern waters in a high resolution numerical simulation of the North Atlantic. In: Goni GJ, Malanotte-Rizzoli P (eds) Interhemispheric water exchange in the Atlantic Ocean. Elsevier Ocean Series 68, pp 375–410CrossRefGoogle Scholar
  10. Garzoli SL, Ffield A, Yao Q (2003) North Brazil Current Rings and the variability in the latitude of retroflection. In: Goni GJ, Malanotte-Rizzoli P (eds) Interhemispheric water exchange in the Atlantic Ocean. Elsevier Ocean Series 68, pp 357–373CrossRefGoogle Scholar
  11. Goni GJ, Johns WE (2001) A census of North Brazil Current rings observed from T/P altimetry: 1992–1998. Geophys Res Lett 28(4):1–4CrossRefGoogle Scholar
  12. Goni GJ, Johns WE (2003) Synoptic study of warm rings in the North Brazil Current retroflection region using satellite altimetry. In: Goni GJ, Malanotte-Rizzoli P (eds) Interhemispheric water exchange in the Atlantic Ocean. Elsevier Ocean Series 68, pp 335–356CrossRefGoogle Scholar
  13. Hansen D, Poulain PM (1996) Quality control and interpolation of WOCE-TOGA drifter data. J Atmos Ocean Tech 13:900–909CrossRefGoogle Scholar
  14. Holton JR (1992) An introduction to dynamic meteorology, 3rd edn. Academic Press, 511 pGoogle Scholar
  15. Jochumsen K, Rhein M, Hüttl-Kabus S, Böning CW (2010) On the propagation and decay of North Brazil Current rings. J Geophys Res 115:C10004. doi:10.1029/2009JC006042CrossRefGoogle Scholar
  16. Johns WE, Lee TN, Schott FA, Zantopp R, Evans RH (1990) The North Brazil Current retroflection: Seasonal structure and eddy variability. J Geophys Res 95:22103–22120CrossRefGoogle Scholar
  17. Johns WE, Lee TN, Beardsley RC, Candela J, Limeburner R, Castro B (1998) Annual cycle and variability of the North Brazil Current. J Phys Oceanogr 28(1):103–128CrossRefGoogle Scholar
  18. Johns WE, Zantopp RJ, Goni GJ (2003) Cross-gyre transport by North Brazil Current rings. In: Goni GJ, Malanotte-Rizzoli P (eds) Interhemispheric water exchange in the Atlantic Ocean. Elsevier Ocean Series 68, pp 411–441CrossRefGoogle Scholar
  19. Kloosterziel RC, van Heijst GJF (1991) An experimental study of unstable barotropic vortices in a rotating fluid. J Fluid Mech 223:1–24CrossRefGoogle Scholar
  20. Lagarias JC, Reeds JA, Wright MH, Wright PE (1998) Convergence properties of the Nelder-Mead simplex method in low dimensions. Siam J Optimiz 9(1):112–147CrossRefGoogle Scholar
  21. Lumpkin R, Garzoli SL (2005) Near-surface circulation in the Tropical Atlantic ocean. Deep-Sea Res I 52(3):495–518CrossRefGoogle Scholar
  22. Lumpkin R, Pazos M (2007) Measuring surface currents with SVP drifters: the instrument, its data and some recent results. In: Griffa A, Kirwan AD, Mariano AJ, Ozgokmen T, Rossby T (eds) Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics. Cambridge Univ Press, pp 39–67CrossRefGoogle Scholar
  23. Nof D (1981) On the β-induced movement of isolated baroclinic eddies. J Phys Oceanogr 11:1662–1672CrossRefGoogle Scholar
  24. Olson DB (1991) Rings in the ocean. Annu Rev Earth Planet Sci 19:283–311CrossRefGoogle Scholar
  25. Richardson PL, Hufford GE, Limeburner R, Brown WS (1994) North Brazil Current retroflection eddies. J Geophys Res 99:5081–5093CrossRefGoogle Scholar
  26. Richardson PL (2005) Caribbean Current and eddies as observed by surface drifters. Deep-Sea Res II 52:429–463CrossRefGoogle Scholar
  27. Simmons HL, Nof D (2002) The squeezing of eddies through gaps. J Phys Oceanogr 32:314–335CrossRefGoogle Scholar
  28. Skiba YN (2000) On the normal mode instability of harmonic waves on a sphere. Geophys Astrophys Fluid Dyn 92(1–2):115–127CrossRefGoogle Scholar
  29. Skiba YN (2002) On the spectral problem in the linear stability study of flows on a sphere. J Math Anal Appl 270(1):165–180CrossRefGoogle Scholar
  30. Snyder JP (1987) Map projections-A working manual. US Government Printing Office, Washington, US Geological Survey professional Paper 1395, Supersedes USGS Bulletin 1532, 383 pGoogle Scholar
  31. Valcke S, Verron J (1997) Interaction of baroclinic isolated vortices: The dominant effect of shielding. J Phys Ocean 27:524–541CrossRefGoogle Scholar
  32. Wilson DW, Johns WE, Garzoli SL (2002) Velocity structure of North Brazil Current rings. Geophys Res Lett 29(8):1273. doi:10.1029/2001GL013869CrossRefGoogle Scholar

Copyright information

© Korea Ocean Research & Development Institute (KORDI) and the Korean Society of Oceanography (KSO) and Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Instituto de Astronomía y Meteorología, Departamento de Física, CUCEIUniversidad de GuadalajaraGuadalajaraMéxico
  2. 2.Department of Atmospheric Sciences, Institute of Astronomy, Geosciences and Atmospheric SciencesUniversity of Sao PauloSao PauloBrazil

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