Point vortex dynamics for coupled surface/interior QG and propagating heton clusters in models for ocean convection

Geophysical and Astrophysical Fluid Dynamics

Volumn 94, Issue 3-4, 2001, Pages 177-220

  Lim, Chjan C ^a   Majda, Andrew J ^b  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

^b NEW YORK UNIVERSITY   (United States)

Author keywords

Baroclinic vortices; Hamiltonian structure; Ocean convection

Indexed keywords

EID: 0040028771     PISSN: 03091929     EISSN: None     Source Type: Journal    
DOI: 10.1080/03091920108203407     Document Type: Article

References (31)

1. Arnold, V., Mathematical methods in classical mechanics, Springer-Verlag, New York (1982).
2. Chorin, A. J., Vorticity and Turbulence, Springer-Verlag, New York (1994).
3. DiBattista, M. and Majda, A., "An equilibrium statistical model for the spreading phase of open-ocean convection," Proc. Natl. Acad. Sci. 96, 6009-6013 (1999).
4. DiBattista, M. and Majda, A. J., "An equilibrium statistical theory for large-scale features of open-ocean convection," J. Phys. Oceanog. 30(6), 1325-1353 (2000).
5. DiBattista, M. and Majda, A., "Equilibrium statistical predictions for vortices: the role of angular momentum," Theoretical Comput. Fluid Dynamics April, 2000b (submitted).
6. DiBattista, M., Majda, A. and Marshall, J., "A statistical theory for the 'patchiness' of open-ocean deep convection: the effect of preconditioning," J. Phys. Oceanog. (2000) to appear.
7. Golubitsky, M., Krupa, M. and Lim, C., "Time-reversibility and particle sedimentation," SIAM J. Appl. Math. 51(1), 49-72 (1990).
8. Gryanik, V. M., "Dynamics of Localized Vortex Perturbations-"Vortex Charges" in a Baroclinic Fluid," Isvestiya, Atmospheric and Oceanic Physics 19(5), 347-352 (1983).
9. Held, I. M., Pierrehumbert, R. T., Garner, S. T. and Swanson, K. L., "Surface quasi-geostrophic dynamics," J. Fluid Mech. 282, 1-20 (1995).
10. Hogg, N. G. and Stommel, H. M., "The Heton: an elementary interaction between discrete baroclinic vortices, and its implication concerning eddy heat flow," Proc. Roy. Soc. Lond. A397, 1-20 (1985a).
11. Hogg, N. G. and Stommel, H. M., "Hetonic explosions: The breakup and spread of warm pools as explained by baroclinic point vortices," J. Atmos. Sci. 42, 1465-1476 (1985).
12. Khanin, K. M., "Quasiperiodic motions of vortex systems," Physica D 2, 261-269 (1982).
13. Legg, S. and Marshall, J., "A Heton model of the spreading phase of Open Ocean Deep Convection," J. Phys. Oceanog. 23(6), 1040-1056 (1993).
14. Legg, S. and Marshall, J., "The influence of the ambient flow on the spreading of convective water masses," J. Mar. Res. 56, 107-139 (1998).
15. Legg, S., Jones, H. and Visbeck, M., "A heton perspective of baroclinic eddy transfer in localized ocean deep convection," J. Phys. Oceanogr. 26, 2251-2266 (1996).
16. Lim, C. C., "Binary trees, symplectic matrices, and the Jacobi coordinates of celestial mechanics," Arch. Rat. Mech Anal. 115, 153-165 (1991).
17. Lim, C. C., "A combinatorial perturbation method and whiskered tori in vortex dynamics," Physica 64D, 163-184 (1993a).
18. Lim, C. C., "Nonsingular sign patterns and the orthogonal group," Linear Algebra and Applic. 184, 1-12 (1993b).
19. Lim, C. C., "Relative equilibria of symmetric n-body problems on the sphere: Inverse and Direct results," Comm. Pure and Applied Math. LI, 341-371 (1988).
20. Lim, C. C., "Exact solutions of the barotropic vorticity equation on a rotating sphere," Physica A, July, 2000 (in press).
21. Lim, C. C. and McComb, I.-H., "Resonant Normal Modes in Time-reversible equivariant vectorfields," J. Dynamics and Diff. Eqns. 7(2), 287-339.
22. Lim, C. C., Montaldi, J. and Roberts, M., "Relative equilibria of point vortices on the sphere," Physica D, July, 2000 (in press).
23. Lions, P. L. and Majda, A. J., "Equilibrium statistical theory for nearly parallel vortex filaments," Comm. Pure and Applied Math. 53, 76-142 (2000).
24. Majda, A. and Bertozzi, A., Vorticity and Incompressible Flow, Cambridge Univ. Press (2000) (to appear).
25. Marshall, J. and Schott, F., "Open-ocean convection: Observations, theory and models," Rev. Geophysics 37, 1-64 (1999).
26. McWilliams, J., "The emergence of isolated vortices in turbulent flows," J. Fluid Mech. 146, 21-33 (1984).
27. Pedlosky, J., Geophysical Fluid Dynamics, Springer-Verlag, 2nd edn. (1979).
28. Pedlosky, J., "The instability of continuous heton clouds," J. Atmos. Sci. 42, 1477-1486 (1985).
29. Pollard, H., Celestial Mechanics, Carus Math Pub. (1978).
30. Salmon, R., Lectures in Geophysical Fluid Dynamics, Oxford U. Press (1998).
31. Shepherd, T. G., "Symmetries, conservation laws and Hamiltonian structure in geophysical fluid dynamics," Adv. Geophysics 32, 287-338 (1990).