Using flow geometry for drifter deployment in Lagrangian data assimilation

Tellus, Series A: Dynamic Meteorology and Oceanography

Volumn 60 A, Issue 2, 2008, Pages 321-335

  Salman, H ^a,c   Ide, K ^b   Jones, C K R T ^a  

^a University of North Carolina at Chapel Hill   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION; CONFERENCE PROCEEDING; DATA ASSIMILATION; DRIFTER; ENSEMBLE FORECASTING; GEOMETRY; GYRE; KALMAN FILTER; LAGRANGIAN ANALYSIS; TRAJECTORY; VECTOR; VORTEX; WEATHER FORECASTING;

EID: 39049116888     PISSN: 02806495     EISSN: 16000870     Source Type: Journal    
DOI: 10.1111/j.1600-0870.2007.00292.x     Document Type: Conference Paper

References (36)

1. Aref, H. 1984. Stirring by chaotic advection. J. Fluid Mech. 143, 1-21.
2. Aref, H. and El Naschie, M. S. 1994. Chaos Applied to Fluid Mixing, Pergamon, New York.
3. Bower, A. S. 1991. A simple kinematic mechanism for mixing fluid parcels across a meandering jet. J. Phys. Oceanogr. 21, 173-180.
4. Carter, E. F. 1989. Assimilation of Lagrangian data into numerical models. Dyn. Atmos. Oceans 13, 335-348.
5. Coulliette, C. and Wiggins, S. 2000. Intergyre transport in a wind-driven, quasi-geostrophic double gyre: An application of lobe dynamics. Nonlinear Process. Geophys. 7, 59-85.
6. Cushman-Roisin, B. 1994. Introduction to Geophysical Fluid Dynamics, Prentice Hall, Englewood Cliffs.
7. Evensen, G. 1994. Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics. J. Geophys. Res. 99 (C5), 10143-10162.
8. Evensen, G. 2003. The Ensemble Kalman Filter: Theoretical formulation and practical implementation. Ocean Dyn., 53, 343-367.
9. Gaspari, G. and Cohn, S. E. 1999. Construction of correlation functions in two and three dimensions. Q. J. R. Meteor. Soc. 125, 723-757.
10. Gent, P. R. 1993. The energetically consistent shallow-water equations. J. Atmos. Sci. 50, 1323-1325.
11. Haller, G. and Poje, A. C. 1998. Finite time mixing in aperiodic flows. Physica D 119, 352-380.
12. Haller, G. 2001. Distinguished material surfaces and coherent structures in 3D fluid flows. Physica D 149, 248-277.
13. Haller, G. 2002. Lagrangian coherent structures from approximate velocity data. Phys. Fluids A 14, 1851-1861.
14. Hamill, T. M., Whitaker, J. S. and Snyder, C. 2001. Distance-dependent filtering of background error covariance estimates in an ensemble Kalman filter. Mon. Wea. Rev. 129, 2776-2790.
15. Ide, K., Kuznetsov, L. and Jones, C. K. R. T. 2002. Lagrangian data assimilation for point vortex systems. J. Turbul. 3, 053.
16. Jones, C. K. R. T. and Winkler, S. 2002. Invariant manifolds and Lagrangian dynamics in the ocean and atmosphere. In: Handbook of Dynamical Systems, Volume 2 (eds B. Fiedler). Elsevier, Amsterdam, 55-92.
17. Kamachi, M. and O'Brien, J. J. 1995. Continuous assimilation of drifting buoy trajectory into an equatorial Pacific Ocean model. J. Mar. Syst. 6, 159-178.
18. Kuznetsov, L., Toner, M., Kirwan, A. D., Jones, C. K. R. T., Kantha, L. H., and co-authors. 2002. The Loop Current and adjacent rings delineated by Lagrangian analysis of near-surface flow. J. Mar. Res. 60, 405-429.
19. Kuznetsov, L., Ide, K. and Jones, C. K. R. T. 2003. A Method for Assimilation of Lagrangian Data. Mon. Wea. Rev. 131, 2247-2260.
20. Lermusiaux, P. F. J. and Lekien, F. 2005. Dynamics and Lagrangian Coherent Structures in the Ocean and their Uncertainty. in: Extended Abstract in Dynamical System Methods in Fluid Dynamics, Oberwolfach Workshop (eds E. Marsden Jerrold and Jurgen Scheurle), Mathematisches Forschungsinstitut Oberwolfach, July 31st-August 6th, 2005, Germany, 19-20.
21. Lermusiaux, P. F. J., Chiu, C.-S., Gawarkiewicz, G. G., Abbot, P., Robinson, A. R., and co-authors. 2006. Quantifying uncertainities in ocean predictions. Oceanography. 19, 92-105.
22. Malhotra, N. and Wiggins, S. 1998. Geometric structures, lobe dynamics, and Lagrangian transport in flows with aperiodic time-dependence, with applications to Rossby wave flow. J. Nonlinear Sci. 8, 401-456.
23. Mancho, A. M., Small, D. and Wiggins, S. 2004. Computation of hyperbolic trajectories and their stable and unstable manifolds for oceanographic flows represented as data sets. Nonlinear Process. Geophys. 11, 17-33.
24. Molcard, A., Piterbarg, L.I., Griffa, A., Özgökmen, T. M. and Mariano, A. J. 2003. Assimilation of drifter observations for the reconstruction of the Eulerian circulation field. J. Geophys. Res. 108 (C3), 1 1-1 21.
25. Molcard, A., Poje, A. C. and Özgökmen, T. M. 2006. Directed drifter launch strategies for Lagrangian data assimilation using hyperbolic trajectories. Ocean Model. 12, 237-267.
26. Özgökmen, T. M., Griffa, A. and Mariano, A. J. 2000. On the Predictability of Lagrangian Trajectories in the Ocean. J. Atmos. Oceanic Technol. 17, 366-383.
27. Özgökmen, T. M., Molcard, A., Chin, T. M., Piterbarg, L. I. and Griffa, A. 2003. Assimilation of drifter observations in primitive equation models of midlatitude ocean circulation. J. Geophys. Res. 108 (C7), 31 1-31 17.
28. Pedlosky, J. 1986. Geophysical Fluid Dynamics, 2d Edition. Springer-Verlag, New York.
29. Poje, A. and Haller, G. 1999. Geometry of cross-stream mixing in a double-gyre ocean model. J. Phys. Oceanogr. 29, 1649-1665.
30. Poje, A. C., Toner, M., Kirwan, A. D. and Jones, C. K. R. T. 2002. Drifter launch strategies based on Lagrangian templates. J. Phys. Oceanogr. 32, 1855-1869.
31. Salman, H., Kuznetov, L., Jones, C. K. R. T. and Ide, K. 2006. A method for assimilating Lagrangian data into a shallow-water equation ocean model. Mon. Wea. Rev. 134, 1081-1101.
32. Salman, H., Hesthaven, J. S., Warburton, T. and Haller, G. 2007. Predicting transport by Lagrangian coherent structures with a high order method. Theor. Comp. Fluid Dyn. 21, 39-58.
33. Schär, C. and Smith, R. B. 1993. Shallow-water flow past isolated topography. Part I: Vorticity production and wake formation. J. Atmos. Sci. 50, 1373-1400.
34. Shchepetkin, A. F. and O'Brien, J. J. 1996. A method for assimilating Lagrangian data into a shallow-water equation ocean model. Mon. Wea. Rev. 124, 1285-1300.
35. Toner, M. and Poje, A. C. 2004. Lagrangian velocity statistics of directed launch strategies in a Gulf of Mexico model. Nonlinear Process. Geophys. 11, 35-46.
36. Wiggins, S. 2005. The dynamical systems approach to Lagrangian transport in oceanic flows. Ann. Rev. Fluid Mech. 37, 295-328.