Finite size Lyapunov exponent for some simple models of turbulence

Applied Mathematical Modelling

Volumn 36, Issue 8, 2012, Pages 3464-3476

  Piterbarg, Leonid I ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

Finite size Lyapunov exponent; Kraichnan model; Random walk

Indexed keywords

CONTINUOUS TIME; DISCRETE TIME; EXACT RELATIONS; FINITE-SIZE LYAPUNOV EXPONENTS; IDEALIZED MODELS; ISOTROPIC BROWNIAN FLOW; KRAICHNAN FLOW; KRAICHNAN MODEL; RANDOM WALK; RELATIVE DISPERSION; SIMPLE RANDOM WALK;

COMPUTER SIMULATION; MATHEMATICAL MODELS;

RANDOM PROCESSES;

EID: 84856213385     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2011.10.024     Document Type: Article

References (18)

1. Artale V., Boffetta G., Celani A., Cencini M., Vulpiani A. Dispersion of passive tracers in closed basins: beyond the diffusion coefficient. Phys. Fluids 1997, 9:31623171.
2. Aurell E., Boffetta G., Crisanti A., Paladin G., Vulpiani A. Predictability in the large: an extension of the concept of Lyapunov exponent. J. Phys. A: Math. Gen. 1997, 30:1.
3. Boffetta G., Lacorata G., Redaelli G., Vulpiani A. Detecting barriers to transport: a review of different techniques. Physica D 2001, 159:58-70.
4. I. Hernandez-Carrasco, C. Lopez, E. Hernandez-Garca, A. Turiel, Seasonal and regional characterization of horizontal mixing in the global ocean, 2011. arxiv:1103.5927v2.
5. Joseph B., Legras B. Relation between kinematic boundaries, stirring, and barriers for the antarctic polar vortex. J. Atmosp. Sci. 2002, 59:1198-1212.
6. d Ovidio F., Fernandez V., Hernandez-Garcya E., Lopez C. Mixing structures in the mediterranean sea from finite-size Lyapunov exponents. Geophys. Res. Lett. 2004, 31:L17203. 10.1029/2004GL020328.
7. E.T. Kaia, V. Rossi, J. Sudreb, H. Weimerskirchc, C. Lopezd, E. Hernandez-Garciad, F. Marsaca and V. Garonb, 2009, Top marine predators track Lagrangian coherent structures, http://www.pnas.org/cgi/doi/10.1073/pnas.0811034106.
8. Rossi V., Lopez C., Sudre J., Hernndez-Garca E., Garcon V. Comparative study of mixing and biological activity of the Benguela and Canary upwelling systems. Geophs. Res. Lett. 2008, 35:L11602.
9. Haza A.C., Poje A., Ozgokmen T., Martin P. Relative dispersion from a high resolution coastal model of the Adriatic Sea. Ocean Model. 2008, 22:4865.
10. -5/3 spectrum from the EOLE Lagrangian balloons in the low stratosphere. J. Atmosp. Sci. 2004, 61:29362942.
11. Lumpkin R., Elipot S. Surface drifter pair spreading in the North Atlantic. J. Geophys. Res. Oceans 2010, 115:C12017.
12. A.C. Haza, T.M. Ozgokmen, A. Griffa, Z.D. Garraffo, L. Piterbarg, Parameterization of Submesoscale Transport in the Gulf Stream Region Using Lagrangian Subgridscale Models, Ocean Modeling submitted for publication, 2011.
13. Le Jan Y., Raimond O. Flows, coalescence, and noise. Ann. Probab. 2004, 32:12471315.
14. Piterbarg L.I., Piterbarg V.V. Intermittency of the tracer gradient. Commun. Math. Phys. 1999, 202:237-253.
15. Baxendale P., Harris T. Isotropic stochastic flows. Ann. Prob. 1986, 14(4):1155-1179.
16. Monin A.S., Yaglom A.M. Statistical Fluid Mechanics: Mechanics of Turbulence 1975, MIT Press, Cambridge, MA.
17. Piterbarg L.I. Relative dispersion in 2D stochastic flows. J. Turbul. 2005, 6(4):1-19.
18. LaCasce J.H. Statistics from Lagrangian observations. Prog. Oceanogr. 2008, 77:129.