Objective detection of oceanic eddies and the agulhas leakage

Journal of Physical Oceanography

Volumn 43, Issue 7, 2013, Pages 1426-1438

  Beron Vera, Francisco J ^a   Wang, Yan ^a   Olascoaga, María J ^a   Goni, Gustavo J ^b   Haller, George ^c  

^a UNIVERSITY OF MIAMI   (United States)

^b ATLANTIC OCEANOGRAPHIC AND METEOROLOGICAL LABORATORY   (United States)

^c ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

MATERIAL COHERENCE; MATERIAL TRANSPORT; OCEAN CIRCULATION; OCEANIC EDDIES; SATELLITE ALTIMETRY DATA; SOUTH ATLANTIC; TRANSPORT THEORY; VELOCITY-BASED;

NONLINEAR DYNAMICAL SYSTEMS;

STATISTICAL MECHANICS;

DETECTION METHOD; MESOSCALE EDDY; OCEANIC CIRCULATION; SATELLITE ALTIMETRY;

AGULHAS CURRENT; ATLANTIC OCEAN; ATLANTIC OCEAN (SOUTH); INDIAN OCEAN;

EID: 84881277932     PISSN: 00223670     EISSN: 15200485     Source Type: Journal    
DOI: 10.1175/JPO-D-12-0171.1     Document Type: Article

References (39)

1. Arnold, V. I., V. V. Kozlov, and A. I. Neishtadt, 2006: Mathematical Aspects of Classical and Celestial Mechanics. Dynamical Systems III, Vol. 3, Encyclopedia of Mathematical Sciences, 3rd ed. Springer-Verlag, 517 pp.
2. Batchelor, G. K., 1964: An Introduction to Fluid Dynamics. Cambridge University Press, 660 pp.
3. Beal, L. M., and Coauthors, 2011: On the role of the agulhas system in ocean circulation and climate. Nature, 472, 429-436.
4. Beron-Vera, F. J., M. J. Olascoaga, and G. J. Goni, 2008: Oceanic mesoscale eddies as revealed by Lagrangian coherent structures. Geophys. Res. Lett., 35, L12603, doi:10.1029/ 2008GL033957.
5. Biastoch, A., C. W. B€oning, J. R. E. Lutjeharms, and F. U. Schwarzkopf, 2009: Increase in Agulhas leakage due to poleward shift of the Southern Hemisphere westerlies. Nature, 462, 495-498.
6. Chelton, D. B., M. G. Schlax, R. M. Samelson, and R. A. de- Szoeke, 2007: Global observations of large oceanic eddies. Geophys. Res. Lett., 34, L15606, doi:10.1029/2007GL030812.
7. Chelton, D. B., P. Gaube, M. G. Schlax, J. J. Early, and R. M. Samelson, 2011a: The influence of nonlinear mesoscale eddies on nearsurface oceanic chlorophyll. Science, 334, 328-332.
8. Chelton, D. B., M. G. Schlax, and R. M. Samelson, 2011b: Global observations of nonlinear mesoscale eddies. Prog. Oceanogr., 91, 167- 216.
9. Conti, C., D. Rossinelli, and P. Koumoutsakos, 2012: GPU and APU computations of Finite Time Lyapunov Exponent fields. J. Comput. Phys., 231, 2229-2244.
10. Doglioli, A. M., B. Blanke, S. Speich, and G. Lapeyre, 2007: Tracking coherent structures in a regional ocean model with wavelet analysis: Application to Cape Basin eddies. J. Geophys. Res., 112, C05043, doi:10.1029/2006JC003952.
11. Early, J. J., R. M. Samelson, and D. B. Chelton, 2011: The evolution and propagation of quasigeostrophic ocean eddies. J. Phys. Oceanogr., 41, 1535-1555.
12. Fang, F., and R. Morrow, 2003: Evolution, movement and decay of warm-core Leeuwin Current eddies. Deep-Sea Res. II, 50, 2245-2261.
13. Froyland, G., C. Horenkamp, V. Rossi, N. Santitissadeekorn, and A. S. Gupta, 2012: Three-dimensional characterization and tracking of an Agulhas Ring. Ocean Modell., 52-53, 69-75.
14. Fu, L. L., D. B. Chelton, P.-Y. Le Traon, and R. Morrow, 2010: Eddy dynamics from satellite altimetry. Oceanography (Wash. D.C.), 23, 14-25.
15. Garth, C., F. Gerhardt, X. Tricoche, and H. Hans, 2007: Efficient computation and visualization of coherent structures in fluid flow applications. IEEE Trans. Visualization Computer Graphics, 13, 1464-1471.
16. Garzoli, S. L., P. L. Richardson, C. M. Duncombe Rae, D. M. Fratantoni, G. J. Goni, and A. J. Roubicek, 1999: Three Agulhas rings observed during the Benguela Current Experiment. J. Geophys. Res., 20 (C9), 20 971-20 986.
17. Goni, G., and W. Johns, 2001: Census of warm rings and eddies in the North Brazil Current retroflection region from 1992 through 1998 using TOPEX/Poseidon altimeter data. Geophys. Res. Lett., 28, 1-4.
18. Gordon, A., 1986: Inter-ocean exchange of thermocline water. J. Geophys. Res., 91 (C4), 5037-5050.
19. Haller, G., 2001: Distinguished material surfaces and coherent structures in 3D fluid flows. Physica D, 149, 248-277.
20. Haller, G., 2005: An objective definition of a vortex. J. Fluid Mech., 525, 1-26.
21. Haller, G., and F. J. Beron-Vera, 2012: Geodesic theory of transport barriers in two-dimensional flows. Physica D, 241, 1680- 1702.
22. Henson, S. A., and A. C. Thomas, 2008: A census of oceanic anticyclonic eddies in the Gulf of Alaska. Deep-Sea Res. I, 55, 163-176.
23. Isern-Fontanet, J., E. Garćia-Ladona, and J. Font, 2003: Identification of marine eddies from altimetric maps. J. Atmos. Oceanic Technol., 20, 772-778.
24. Jorba, A., and C. Siḿo, 1996: On quasi-periodic perturbations of elliptic equilibrium points. SIAM J. Math. Anal., 27, 1704- 1737.
25. Lehahn, Y., F. d'Ovidio, M. Ĺevy, Y. Amitai, and E. Heifetz, 2011: Long range transport of a quasi isolated chlorophyll patch by an Agulhas ring. Geophys. Res. Lett., 38, L16610, doi:10.1029/ 2011GL048588.
26. Le Traon, P.-Y., F. Nadal, and N. Ducet, 1998: An improved mapping method of multisatellite altimeter data. J. Atmos. Oceanic Technol., 15, 522-534.
27. Lugt, H. J., 1979: The dilemma of defining a vortex. Recent Developments in Theoretical and Experimental Fluid Mechanics, U. Muller, K. G. Riesner, and B. Schmidt, Eds., Springer- Verlag, 309-321.
28. Ḿezic, I., V. A. F. S. Loire, and P. Hogan, 2010: A new mixing diagnostic and the Gulf of Mexico oil spill. Science, 330, 486.
29. Morrow, R., F. Birol, and D. Griffin, 2004: Divergent pathways of cyclonic and anti-cyclonic ocean eddies. Geophys. Res. Lett., 31, L24311, doi:10.1029/2004GL020974.
30. Okubo, A., 1970: Horizontal dispersion of flotable particles in the vicinity of velocity singularity such as convergences. Deep-Sea Res. Oceanogr. Abstr., 12, 445-454.
31. Olson, D., and R. Evans, 1986: Rings of the Agulhas Current. Deep-Sea Res., 33, 27-42.
32. Ottino, J., 1989: The Kinematics of Mixing: Stretching, Chaos and Transport. Cambridge University Press, 364 pp.
33. Peacock, T., and J. Dabiri, 2010: Introduction to focus issue: Lagrangian coherent structures. Chaos, 20, 017501, doi:10.1063/ 1.3278173.
34. Ridgway, K. R., and J. R. Dunn, 2007: Observational evidence for a Southern Hemisphere oceanic supergyre. Geophys. Res. Lett., 34, L13612, doi:10.1029/2007GL030392.
35. Rio, M.-H., and F. Hernandez, 2004: A mean dynamic topography computed over the world ocean from altimetry, in situ measurements, and a geoid model. J. Geophys. Res., 109, C12032, doi:10.1029/2003JC002226.
36. Robinson, A. R., Ed., 1983: Eddies in Marine Science. Springer- Verlag, 609 pp.
37. Souza, J. M. A. C., C. De Boyer Montegut, and P. Y. Le Traon, 2011: Comparison between three implementations of automatic identification algorithms for the quantification and characterization of mesoscale eddies in the South Atlantic Ocean. Ocean Sci. Discuss., 8, 483-531.
38. Turiel, A., J. Isern-Fontanet, and E. Garcia-Ladona, 2007: Wavelet filtering to extract coherent vortices from altimetric data. J. Atmos. Oceanic Technol., 24, 2103-2119.
39. Weiss, J., 1991: The dynamics of enstrophy transfer in twodimensional hydrodynamics. Physica D, 48, 273-294.