Reconstruction of oceanic flow characteristics from Quasi-Lagrangian data 1. Approach and mathematical methods

Journal of Geophysical Research: Oceans

Volumn 97, Issue C6, 1992, Pages 9733-9742

  Eremeev, V N ^a   Ivanov, L M ^a   Kirwan, A D ^b  

^a INSTITUTE OF HYDROBIOLOGY   (Ukraine)

^b OLD DOMINION UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84907057350     PISSN: 21699275     EISSN: 21699291     Source Type: Journal    
DOI: 10.1029/92JC00356     Document Type: Article

References (43)

1. Betchov, R., The transition, in Handbook of Turbulence, edited by W. Frost and T. Moulden, 164-183, Plenum, New York, 1977.
2. Brown, M. G., and K. B. Smith, Are SOFAR float trajectories chaotic?, J. Phys. Oceanogr., 20, 139-149,1990.
3. Brown, M. G., and K. B. Smith, Ocean stirring and chaotic !ow-order dynamics, Phys. Fluids, 3, 1186-1192, 1991.
4. Davis, R. E., Oceanic property transport, Lagrangian particle statistics and their prediction, J. Mar. Res., 41, 163-194, 1983.
5. Davis, R. E., Drifter observations of coastal surface currents during CODE: The statistical and dynamical views, J. Geophys. Res., 90, 4756-4772, 1985.
6. Eremeev, V. N., and L. M. Ivanov, Some physical aspects of admixture propagation in the ocean (in Russian), Tr. Morsk. Gidrofiz. Inst. Akad. Nauk Ukr. SSR, 45, 45 pp., 1982.
7. Eremeev, V. N., and L. M. Ivanov, Using quasi-Lagrangian data for calculations of some characteristics of ocean circulation (in Russian), Tr. Morsk. Gridrofiz. Inst. Akad. Nauk Ukr. SSR, 49, 49 pp., 1985.
8. Eremeev, V. N., and L. M. Ivanov, Tracers in the Ocean: Parameterization of Transport, Numerical Modelling of Dynamics (in Russian), 143 pp., Naukova Dumka, Kiev, 1987.
9. Eremeev, V. N., L. M. Ivanov, I. A. Neelov, and V. I. Smelyansky,Influence of secondary eddy flows on the scatter of admixture in zonal flow (in Russian), Ivz. Akad. Nauk SSSR Fiz. Atmos. Okeana, 22,67-78, 1986a. (English translation, V. N. Yeremeyev et al., Effect of secondary eddy currents on impurity dispersion in a zonal flow, Izv. Acad. Sci. USSR Atmos. Oceanic Phys., Engl. Transl., 22(1), 56-61, 1986).
10. Ermeev, V. N., L. M. Ivanov, and V. I. Smelyansky, Some regularities of the drift of SOFAR floats drift in mesoscale eddy field (in Russian), Dokl. Akad. Nauk SSSR, 288(2), 470-473, 1986b.
11. Eremeev, V. N., L. M. Ivanov, and V. I. Smelyansky, Determination of the structure of low-mode convective field using the data on Lagrangian tracers (in Russian), Morsk. Gidrofiz. Zh., 2, 32-37, 1988.
12. Eremeev, V. N., L. M. Ivanov, and A. V. Kukharchik, Employment of quasi-Lagrangian data for monitoring thermohydrodynamic fields of the ocean (in Russian), Dokl. Akad. Nauk SSSR, 307(2), 450-455, 1989.
13. Eremeev, V. N., L. M. Ivanov, A. D. Kirwan, Jr O. V. Melnichenko, S. V. Kochergin, and R. R. Stanichnaya, Reconstruction of oceanic flow characteristics from quasi-Lagrangian data, 2, Characteristics of the large-scale circulation in the Black Sea, J. Geophys. Res., this issue.
14. Gledzer, E. B., F. V. Dolzhansky, and A. M. Obukhov, Systems of Hydrodynamic Type and Their Application (in Russian), 366 pp., Nauka, Moscow, 1981.
15. Kirwan, A. D., Jr., and M. S. Chang, Effect of sampling rate and random position error on analysis of drifter data, J. Phys. Ocean-ogr., 9, 382-387, 1979.
16. Kirwan, A. D., Jr., G. J. McNally, E. Reyna, and W. J. Merrell, Jr., The near-surface circulation of the eastern North Pacific, J. Phys. Oceanogr., 8. 937-945, 1978.
17. Kirwan, A. D., Jr., W. J. Merrell Jr., J K. Lewis, R E. Whitaker, and R. Legeckis, A model for the analysis of drifter data with an application to a warm core ring in the Gulf of Mexico, J. Geophys. Res., 89, 3425-3438, 1984.
18. Kirwan, A. D., Jr., J. K. Lewis, A. W Indest, P. Reinersman, and J. Quintero, Observed and simulated kinematic properties of Loop Current rings, J. Geophys. Res., 93, 1189-1198, 1988.
19. Kirwan, A. D., Jr., A. W. Indest, J. Liu, and N. Clark, Ring evolution in general circulation models from path analysis, J. Geophys. Res., 95, 18,057-18073, 1990.
20. Krauss, W., and R. H. Kase, Mean circulation and eddy kinetic energy in the eastern North Atlantic, J. Geophys. Res., 89, 3407-3415, 1984.
21. Kravtsov, Y. A., Randomness, determinativeness and predictability (in Russian), Razv. Fiz. Nauk, 158, 93-122, 1989.
22. Ladyzhenskaya, O. A., Mathematical Problems of Viscous Incompressible Fluid Dynamics (in Russian), 278 pp., Nauka, Moscow, 1970.
23. Landau, L. D., and E. M. Lifshitz, Hydrodynamics (in Russian), 730 pp., Nauka, Moscow, 1986. (English translation, Fluid Mechanics, 539 pp., Pergamon, New York, 1987.)
24. Lebedev, N. N., I. P. Skal’skaya, and Ya. S. Uflyand, Book of Problems in Mathematic Physics (in Russian), 420 pp., GITTL, Moscow, 1955.
25. LeBlond, P., and L. Mysak, Waves in the Ocean, 602 pp., Elsevier, New York, 1978.
26. Lichtenberg, A. J., and M. A. Lieberman, Regular and Stochastic Motion, 537 pp., Springer-Verlag, New York, 1984.
27. McNally, C. J., W. C. Patzert, A. D. Kirwan Jr., and A C. Vastano, The near-surface circulation of the North Pacific using satellite-tracked drifting buoys, J. Geophys. Res., 88, 7507-7518, 1983.
28. Moffat, G., Magnetic Field Excitation in a Conducting Medium (in Russian), 340 pp., Mir, Moscow, 1988.
29. Moiseev, N. N., Elements of the Theory of Optimal Systems (in Russian), 520 pp., Nauka, Moscow, 1975.
30. Obukhov, A. M., On statistically orthogonal expansions of empirical functions (in Russian), Izv. Akad. Nauk SSSR. Ser. Geofiz.,3, 432-440, 1960. (English translation, Izv. Acad. Sci. USSR Geophys. Ser., Engl. Transl., No. 3, 288-291, 1960.)
31. Osborne, A. R., and R. Caponio, Fractal trajectories and anomalous diffusion for chaotic particle motions in 2D turbulences, Phys. Rev. Lett., 64(5), 1733-1736, 1990.
32. Osborne, A. R., A. D. Kirwan Jr., A Provenzale, and L Bergam-asco, A search for chaotic behavior in large and mesoscale motions in the Pacific Ocean, Physica D, 23, 75-83, 1986.
33. Osborne, A. R., A. D. Kirwan Jr., A Provenzale, and L Bergam-asco, Fractal drifter trajectories in the Kuroshio extension, Tel-lus, Ser. A, 41, 416-435, 1989.
34. Peyret, R., and T. D. Taylor, Computational Methods for Fluid Flow, 378 pp., Springer-Verlag, New York, 1983.
35. Richardson, P. L., Eddy kinetic energy in the North Atlantic from surface drifters, J. Geophys. Res., 88, 4355-4367, 1983a.
36. Richardson, P. L., Gulf Stream rings, in Eddies in Marine Sciences, edited by A. R. Robinson, pp. 19-44, Springer-Verlag, New York, 1983*.
37. Rossby, H. T., S. C. Riser, and A. J. Mariano, The Western-North Atlantic-A Lagrangian viewpoint, in Eddies in Marine Sciences, edited by A. R. Robinson, pp. 66-90, Springer-Verlag, New York, 1983.
38. Sanderson, B. G., and D. A. Booth, The fractal dimension of drifter trajectories and estimates of horizontal eddy-diffusivity, Tellus, Ser. A, 43, 434-449, 1991.
39. Sanderson, B. G., A. Goulding, and A. Okubo, The fractal dimen-sion of relative Lagrangian motion, Tellus, Ser. A, 42, 550-556, 1990.
40. Scaki, F., Nonlinear Optimal and Adaptive Systems, 430 pp., Akademia, Budapest, 1973.
41. Stratonovich, R. L., Topics in the Theory of Fluctuations in Radio Technology (in Russian), 556 pp., Russkoe Radio, Moscow, 1961.
42. Vladimirov, E. S., Equations of the Mathematic Physics (in Russian), 512 pp., Nauka, Moscow, 1971.
43. Zel'dovich, Ya. B., A. A. Ruzmaikin, and D. D. Sokolov, On the representation of three-dimensional vector field by scalar potentials (in Russian), Dokl. Akad. Nauk SSSR, 284(1), 103-106, 1985.