Coherent Lagrangian vortices: The black holes of turbulence

Journal of Fluid Mechanics

Volumn 731, Issue , 2013, Pages

  Haller, G ^a   Beron Vera, F J ^b  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF MIAMI   (United States)

Author keywords

geophysical and geological flows; nonlinear dynamical systems; vortex flows

Indexed keywords

DIFFERENTIAL EQUATIONS; DYNAMICAL SYSTEMS; GRAVITATION; LAGRANGE MULTIPLIERS; NONLINEAR DYNAMICAL SYSTEMS; PHOTONS; STARS; TURBULENCE;

BLACK HOLES; GEOPHYSICAL AND GEOLOGICAL FLOWS; LAGRANGIAN STRAIN; LAGRANGIAN TRANSPORT; LIMIT-CYCLE; SOUTH ATLANTIC; TWO DIMENSIONAL TURBULENCE; VARIATIONAL PRINCIPLES;

VORTEX FLOW;

COSMOLOGY; EDDY; GEOPHYSICS; LAGRANGIAN ANALYSIS; NONLINEARITY; TURBULENCE; VORTEX FLOW;

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

EID: 84891381019     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2013.391     Document Type: Article

References (16)

1. ARNOLD, V. I. 1973 Ordinary Differential Equations. Massachusetts Institute of Technology.
2. BEAL, L. M., DE RUIJTER, W. P. M., BIASTOCH, A., ZAHN, R. & SCOR/WCRP/IAPSO WORKING GROUP, 2011 On the role of the Agulhas system in ocean circulation and climate. Nature 472, 429-436.
3. BEEM, J. K., EHRLICH, P. L. & KEVIN, L. E. 1996 Global Lorentzian Geometry. CRC Press.
4. BERON-VERA, F. J., OLASCOAGA, M. J. & GONI, G. J. 2008 Oceanic mesoscale vortices as revealed by Lagrangian coherent structures. Geophys. Res. Lett. 35, L12603.
5. BERON-VERA, F. J., WANG, Y., OLASCOAGA, M. J., GONI, G. J. & HALLER, G. 2013 Objective detection of oceanic eddies and the Agulhas leakage. J. Phys. Oceanogr. 43, 1426-1438.
6. CHELTON, D. B., SCHLAX, M. G. & SAMELSON, R. M. 2011 Global observations of nonlinear mesoscale eddies. Prog. Oceanogr. 91, 167-216.
7. DENMAN, K. L. & GARGETT, A. E. 1983 Time and space scales of vertical mixing and advection of phytoplankton in the upper ocean. Limnol. Oceanogr. 28, 801-815.
8. FROYLAND, G., HORENKAMP, C., ROSSI, V., SANTITISSADEEKORN, N. & GUPTA, A. S. 2012 Three-dimensional characterization and tracking of an Agulhas ring. Ocean Model. 52-53, 69-75.
9. GONI, G. J., GARZOLI, S. L., ROUBICEK, A. J., OLSON, D. B. & BROWN, O. B. 1997 Agulhas ring dynamics from TOPEX/Poseidon satellite altimeter data. J. Mar. Res. 55, 861-883.
10. HALLER, G. 2005 An objective definition of a vortex. J. Fluid Mech. 525, 1-26.
11. HALLER, G. & SAPSIS, T. 2008 Where do inertial particles go in fluid flows? Physica D 237, 573-583.
12. HAWKING, S. & PENROSE, R. 1996 The Nature of Space and Time. Princeton University Press.
13. JEONG, J. & HUSSAIN, F. 1985 On the identification of a vortex. J. Fluid Mech. 285, 69-94.
14. PROVENZALE, A. 1999 Transport by coherent barotropic vortices. Annu. Rev. Fluid Mech. 31, 55-93.
15. TRUESDELL, C. & NOLL, W. 2004 The Nonlinear Field Theories of Mechanics. Springer.
16. VAN AKEN, H. M., VAN VELDHOVENA, A. K., VETHA, C., DE RUIJTERB, W. P. M., VAN LEEUWENB, P. J., DRIJFHOUTC, S. S., WHITTLED, C. P. & ROUAULTD, M. 2003 Observations of a young Agulhas ring, Astrid, during MARE in March 2000. Deep-Sea Res. II 50, 167-195.