Predictability of Lagrangian particle trajectories: Effects of smoothing of the underlying Eulerian flow

Journal of Marine Research

Volumn 62, Issue 1, 2004, Pages 1-35

  Griffa, Annalisa ^a,b   Piterbarg, Leonid I ^c   Özgökmen, Tamay ^a  

^a UNIVERSITY OF MIAMI   (United States)

^b CNR   (Italy)

^c UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCULATION MODELING; EULERIAN ANALYSIS; LAGRANGIAN ANALYSIS; OCEANIC CIRCULATION; RESOLUTION; TRAJECTORY;

EID: 2942637652     PISSN: 00222402     EISSN: None     Source Type: Journal    
DOI: 10.1357/00222400460744609     Document Type: Article

References (52)

1. Arakawa, A. 1966. Computational design for long-term numerical integration of the equations of fluid motion: Two dimensional incompressible flow. Part I. J. Comput. Phys., 1, 119-143.
2. Aref, H. 1984. Stirring by chaotic advection. J. Fluid Mech., 143, 1-21.
3. Batchelor, G. K. 1967. An Introduction to Fluid Dynamics, Cambridge University Press. Cambridge, 635 pp.
4. Bauer, S. A., A. Griffa, M. Swenson, A. Mariano and K. Owens. 1998. Eddy-mean flow decomposition and eddy diffusivity estimates in the tropical Pacific Ocean. 1. Methodology. J. Geophys. Res., 103, 30855-30871.
5. Bauer, S. A., M. Swenson and A. Griffa. 2002. Eddy-mean flow decomposition and eddy diffusivity estimates in the tropical Pacific Ocean. 2. Global estimates. J. Geophys. Res., 107(C1O), 3154-3174.
6. Berloff, P. S. and J. C. McWilliams. 2002. Material transport in oceanic gyres. Part II: Hierarchy of stochastic models. J. Phys. Oceanogr., 32, 797-830.
7. Blanke, B., M. Arhan, G. Madec and S. Roche. 1999. Warm water paths in the equatorial Atlantic as diagnosed with a G.C.M. J. Phys. Oceanogr., 11, 2753-2768.
8. Castellari, S., A. Griffa, T. M. Özgökmen and P.-M. Poulain. 2001. Prediction of particle trajectories in the Adriatic Sea using Lagrangian data assimilation. J. Mar. Sys., 29, 33-50.
9. Chassignet, E. P. and Z. D. Garraffo. 2001. Viscosity parameterization and the Gulf Stream separation, in From Stirring to Mixing in a Stratified Ocean, Proceedings Aha Huliko'a Hawaiian Winter Workshop, U. of Hawaii, January 15-19, 2001, P. Muller and D. Henderson, eds., 37-41.
10. Coulliette, C. and S. Wiggins. 2000. Intergyre transport in a wind-driven, quasi-geostrophic double gyre: an application of lobe dynamics. Nonlinear Proc. Geoph., 7, 59-85.
11. Dutkiewicz, S., A. Griffa and D. B. Olson. 1993. Particle diffusion in a meandering jet. J. Geophys. Res., 98, 16487-16500.
12. Falco, P., A. Griffa, P.-M. Poulain and E. Zambianchi. 2000. Transport properties in the Adriatic Sea deduced from drifter data. J. Phys. Oceanogr., 30, 2055-2071.
13. Garraffo, Z. D., A. J. Mariano, A. Griffa, C. Veneziam and E. P. Chassignet. 2001. Lagrangian data in a high-resolution numerical simulation of the North Atlantic. 1. Comparison with in situ drifter data. J. Mar. Sys., 29, 157-176.
14. Gazdag, J. 1976. Time-differencing schemes and transform methods. J. Comput. Phys., 20, 196-207.
15. Ghil, M. and P. Malanotte-Rizzoli. 1991. Data assimilation in meteorology and oceanography. Adv. Geophys., 33, 141-266.
16. Griffa, A. 1996. Applications of stochastic particle models to oceanographic problems, in Stochastic Modelling in Physical Oceanography, R. Adler, P. Muller and B. Rozovskii, eds., Birkhauser, Boston, 113-128.
17. Kuznetsov, L., M. Toner, A. D. Kirwan, C. K. R. T. Jones, L. H. Kantha and J. Choi. 2002. The Loop Current and adjacent rings delineated by Lagrangian analysis of near-surface flow. J. Mar. Res., 60, 405-429.
18. LaCasce, J. H. and A. Bower. 2000. Relative dispersion in the subsurface North Atlantic. J. Mar. Res., 58, 863-894.
19. Leaman, K. D., E. Johns and T. Rossby. 1989. The average distribution of volume transport and potential vorticity with temperature at three sections across the Gulf Stream. J. Phys. Oceanogr., 19, 36-51.
20. Lee, S. K. 2001. On the structure of supercritical western boundary currents. Dyn. Atmos. Oceans, 33, 303-319.
21. Lorenc, A. C. 1986. Analysis methods for numerical weather prediction, Quart. J. R. Met. Soc., 112, 1177-1194.
22. Mariano, A. J., T. M. Chin and T. M. Özgökmen. 2003. Stochastic boundary conditions for coastal flow modeling. Geophys. Res. Lett., 30, doi:10.1029/2003GLO16972.
23. Mariano, A. J., A. Griffa, T. M. Özgökmen and E. Zambianchi. 2002. Lagrangian analysis and predictability of coastal and ocean dynamics. 2000. J. Atmos. Ocean. Techn., 19, 1114-1126.
24. McClean, J. L., P.-M. Poulain and J. W. Pelton. 2002. Eulerian and Lagrangian statistics from surface drifters and a high-resolution POP simulation in the North Atlantic. J. Phys. Oceanogr., 32, 2472-2491.
25. Özgökmen, T. M. and Eric P. Chassignet. 1998. Emergence of inertial gyres in a two-layer quasigeostrophic ocean model. J. Phys. Oceanogr., 27, 2460-2476.
26. Özgökmen, T. M., A. Griffa, L. I. Piterbarg and A. J. Mariano. 2000. On the predictability of Lagrangian trajectories in the ocean. J. Atmos. Ocean. Techn., 17, 366-383.
27. Özgökmen, T. M., A. Molcard, T. M. Chin, L. Piterbarg and A. Griffa. 2003. Assimilation of drifter observations in primitive equation models of midlatitude ocean circulation. J. Geophys. Res. Oceans, 108(C7), 3238, doi:10.1029/2002JC001719.
28. Özgökmen, T. M., L. I. Piterbarg, A. J. Mariano and E. H. Ryan. 2001. Predictability of drifter trajectories in the tropical Pacific Ocean. J. Phys. Oceanogr., 31, 2691-2720.
29. Paris, C. B., R. K. Cowen, K. M. M. Lwiza, D. P. Wang and D. B. Olson. 2002. Multivariate objective analysis of the coastal circulation of Barbados, West Indies: implication for larval transport. Deep-Sea Res., 1, 49, 1363-1386.
30. Peters, H., L. Shay, A. Mariano and T. Cook. 2002. Current variability on a narrow shelf with large ambient vorticity. J. Geophys. Res., 107(C8), 10.1029/2001JC000813.
31. Piterbarg, L. I. 2004. Uncertainty of Lagrangian trajectories versus uncertainty of forcing for a stochastic flow. SIAM J. Appl. Math. (Submitted) Preprint from: http://www-ref.usc.edu/~Ipiterba/preprints.html
32. Piterbarg, L. I. 2001a. Short term prediction of Lagrangian trajectories. J. Atmos. Ocean. Tech., 18, 1398-1410.
33. Piterbarg, L. I. 2001b. The top Lyapunov exponent for a stochastic flow modeling the upper ocean turbulence. SIAM J. Appl. Math., 62, 777-800.
34. Piterbarg, L. I. and T. M. Özgökmen. 2002. A simple prediction algorithm for the Lagrangian motion in two-dimensional turbulent flows. SIAM J. Appl. Math., 63, 116-148.
35. Poje, A. C. and G. Haller. 1999. Geometry of cross-stream mixing in a double-gyre ocean model. J. Phys. Oceanogr., 29, 1649-1665.
36. Priestley, M. B. 1981. Spectral Analysis and Time Series, Academic Press, London, 890 pp.
37. Reynolds, A. M. 2002. On Lagrangian stochastic modelling of material transport in oceanic gyres. Physica D, 172, 124-138.
38. Risken, H. 1989. The Fokker-Planck Equation: Methods of Solutions and Applications, Springer-Verlag, Berlin, 472 pp.
39. Samelson, R. M. 1996. Chaotic transport by mesoscale motions, in Stochastic Modelling in Physical Oceanography, R. J. Adler, P. Müller and B. L. Rozovoskii, eds., Birkhäuser, 466 pp.
40. Sawford, B. L. 1993. Recent developments in the Lagrangian stochastic theory of turbulent dispersion. Boundary-layer Meteor., 62, 197-215.
41. Shay, L. K., T. M. Cook, H. Peters, A. J. Mariano, R. Weisberg. P. E. An, A. Soloviev and M. Luther. 2002. Very high-frequency radar mapping of surface currents. IEEE J. Oceanic Eng., 27, 155-169.
42. Sheres, D., K. E. Kenyon, R. L. Bernstein and R. C. Beardsley. 1985. Large horizontal surface velocity shears in the ocean obtained from images of refracting swell and in situ moored current data. J. Geophys. Res., 90(C3), 4943-4950.
43. Siegel, A., J. B. Weiss, J. Toomre, J. C. McWilliams, P. S. Berloff and I. Yavneh. 2001. Eddies and vortices in ocean basin dynamics. Geophys. Res. Lett., 28, 3183-3186.
44. Smith, R. D., M. E. Maltrud, F. O. Bryan and M. W. Hecht. 2000. Numerical simulation of the North Atlantic Ocean at 1/10°. J. Phys. Oceanogr., 30, 1532-1561.
45. Stammer, D. and E. P. Chassignet. 2000. Ocean state estimation and prediction in support of oceanographic research. Oceanography, 13, 51-56.
46. Swarztrauber, P. N. 1977. The methods of cyclic reduction, Fourier analysis and FACR algorithm for discrete solution of the Poisson equation an a rectangle. SIAM Rev., 19, 490-501.
47. Thomson, D. J. 1990. A stochastic model for the motion of particle pairs in isotropic high-Reynolds-number turbulence, and its application to the problem of concentration variance. J. Fluid Mech., 210, 113-153.
48. Thomson, D. J. 1987. Criteria for the selection of stochastic models of particle trajectories in turbulent flows. J. Fluid Mech., 180, 529-556.
49. Toner, M., A. C. Poje, A. D. Kirwan, C. K. R. T. Jones, B. L. Lipphardt and C. E. Grosch. 2001. Reconstructing basin-scale Eulerian velocity fields from simulated drifter data. J. Phys. Oceanogr., 31, 1361-1376.
50. Veneziani, M., A. Griffa, A. M. Reynolds and A. J. Mariano. 2004. Oceanic turbulence and stochastic models from subsurface Lagrangian data for the northwest Atlantic Ocean. J. Phys. Oceanogr., (in press).
51. Wiggins, S. 1992. Chaotic Transport in Dynamical Systems, Springer, NY, 301 pp.
52. Zambianchi, Enrico and Annalisa Griffa. 1994. Effects of finite scales of turbulence on dispersion estimates. J. Mar. Res., 52, 129-148.