Intergyre transport in a wind-driven, quasigeostrophic double gyre: An application of lobe dynamics

Nonlinear Processes in Geophysics

Volumn 7, Issue 1-2, 2000, Pages 59-85

  Coulliette, C ^a   Wiggins, S ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EDDY; GEOSTROPHIC FLOW; GYRE; OCEANIC CIRCULATION;

EID: 0034036593     PISSN: 10235809     EISSN: None     Source Type: Journal    
DOI: 10.5194/npg-7-59-2000     Document Type: Article

References (32)

1. Aref, H. and M. S. El Naschie (eds.), Chaos Applied to Fluid Mixing. Chaos, Solitons, and Fractals, 4(6), 1-380, 1994.
2. Babiano, A. Provenzale, A. and A. Vulpiani (eds.), Chaotic Advection, Tracer Dynamics, and Turbulent Dispersion. Proceedings of the NATO Advanced Research Workshop and EGS Topical Workshop on Chaotic Advection, Conference Centre Sereno di Gavo, Italy, 24-28 May 1993. Physica D 76, 1-329, 1994.
3. Coulliette, C. Hatfield, J. and Wiggins, S., Dynamical Systems Analysis of Vector Fields defined as Data Files: Application to Lagrangian Transport and Chaotic Advection, In progress, 2000.
4. Cummins, P. F., and Mysak, L. A., A quasi-geostrophic circulation model of the northeast Pacific. Part I: A preliminary numerical experiment. J. Phys. Oceanogr., 18, 1261-1286, 1988.
5. Cushman-Roisin, B., Introduction to Geophysical Fluid Dynamics. Prentice-Hall: Eaglewood, 1994.
6. del-Castillo-Negrete, D., and Morrison, P. J., Chaotic transport of Rossby waves in shear flow. Phys. Fluids A, 5(4), 948-965, 1993.
7. Dijkstra, H. A., and Katsman, C. A., Temporal variability of the wind-driven quasi-geostrophic double gyre ocean circulation: basic bifurcation diagrams. Geophys. Astrophys. Fluid Dynamics 85, 195-232, 1997.
8. Duan, J., and Wiggins, S., Fluid exchange across a meandering jet with quasiperiodic variability. J. Phys. Oceanogr., 26(7), 1176-1188, 1996.
9. Duan, J., and Wiggins, S., Lagrangian transport and chaos in the near wake of the flow around an obstacle: a numerical implementation of lobe dynamics. Nonlinear Processes in Geophysics, 4, 125-136, 1997.
10. Haller, G., and Poje, A., Finite time transport in aperiodic flows. Physica D, 119(3-4), 352-380, 1998.
11. Holland, W. R., The role of mesoscale eddies in the general circulation of the ocean-numerical experiments using a wind-driven quasi-geostrophic model. J. Phys. Oceanogr., 8, 363-392, 1978.
12. Ide, K. and Wiggins, S., Distinguished Hyperbolic Trajectories in Time Dependent Fluid Flows: Analytical and Computational Approach for Velocity Fields Defined as Data Sets, In progress, 2000.
13. Jiang, S., Jin, F.-I., and Ghil, M., Multiple equilibria, periodic, and aperiodic solutions in a wind-driven, double-gyre, shallow-water model. J. Phys. Oceanogr., 24, 764-786, 1995.
14. Lozier, M. S., and Riser, S. C., Potential vorticity sources and sinks in a quasi-geostrophic ocean: beyond western boundary currents. J. Phys. Oceanogr., 20, 1608-1627, 1989.
15. Lozier, M. S., and Riser, S. C., Potential vorticity dynamics of boundary currents in a quasi-geostrophic ocean. J. Phys. Oceanogr., 19, 1373-1396, 1990.
16. Lozier, M. S., Pratt, L. J., Rogerson, A., and Miller, P. D., Exchange geoetry revealed by float trajectories in the Gulf stream. J. Phys. Oceanogr., 27, 2327-2341, 1997.
17. Malhotra, N., and Wiggins, S., Geometric Structures, Lobe Dynamics, and Lagrangian Transport in Flows with Aperiodic Time Dependence, with Applications to Rossby Wave Flow. Journal of Nonlinear Science, 8, 401-456, 1998.
18. Miller, P. D., Jones, C. K. R. T. J., Rogerson, A., and Pratt, L. J., Quantifying transport in numerically generated velocity fields. Physica D, 110, 105-122, 1997.
19. Munk, W.H., On the wind-driven ocean circulation, J. Meteor., 7;79-93, 1950.
20. Ngan, K., and Shepherd, T. G., Chaotic mixing and transport in Rossby-wave critical layers. J. Fluid Mech., 334, 315-351. 1997.
21. Pedlosky, J., Geophysical Fluid Dynamics. Springer: New York, 1987.
22. Phillips N. A., Energy transformations and meridional circulations associated with simple baroclinic waves in a two-level, quasi-geostrophic model. Tellus, 6, 273-286, 1954.
23. Pierrehumbert, R. T., Chaotic mixing of tracer and vorticity by modulated traveling Rossby waves. Geophys. Astrophys. Fluid Dyn., 58, 285-319, 1991a.
24. Pierrehumbert, R. T., Large-scale horizontal mixing in planetary atmospheres. Phys. Fluids A, 3(5), 1250-1260, 1991b.
25. Poje, A.C. and Haller, G., Geometry of cross-stream mixing in a double-gyre ocean model. JPO 29(8), 1649-1665, 1999.
26. Pozrikidis, C., Boundary integral and singularity methods for linearized viscous flow. Cambridge University Press: Cambridge, UK, 1992.
27. Rogerson, A., Miller, P. D., Pratt, L. J., and Jones, C. K. R. T., Lagrangian motion and fluid exchange in a barotropic meandering jet. J. Phys. Oceanogr. 10, 2635-2655, 1999.
28. Rowley, C., A Modeling Study of the North Atlantic Current, Ph. D. thesis, University of Rhode Island, Kingston, RI., 1996.
29. Samelson, R. M., Fluid exchange across a meandering jet. J. Phys. Oceanogr., 22, 431-440, 1992.
30. Shariff, K., T. Pulliam, and Ottino, J., A dynamical systems analysis of kinematics in the time-periodic wake of a circular cylinder. In Vortex Dynamics and vortex methods (ed. C. Anderson and C. Greengard), Proc. AMS-SIAM Conf., Lectures in Applied Mathematics. American Mathematical Society:Providence, 1992.
31. Spivak, M., A Comprehensive Introduction to Differential Geometry, Vol. II Publish or Perish: Berkeley, 1979.
32. Wiggins, S., Chaotic Transport in Dynamical Systems. Springer-Verlag: New York, 1992.