Particle dispersion processes in two-dimensional turbulence: A comparison with 2-D kinematic simulation

Nonlinear Processes in Geophysics

Volumn 14, Issue 2, 2007, Pages 139-151

  Castilla, R ^a   Redondo, J M ^a   Gamez Montero P J ^a   Babiano, A ^b  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPARATIVE STUDY; EULERIAN ANALYSIS; LAGRANGIAN ANALYSIS; NUMERICAL MODEL; PARTICLE MOTION; TURBULENT FLOW; TWO-DIMENSIONAL MODELING;

EID: 33947692290     PISSN: 10235809     EISSN: 16077946     Source Type: Journal    
DOI: 10.5194/npg-14-139-2007     Document Type: Article

References (34)

1. Babiano, A., Basdevant, C., and Sadourny, R.: Structure functions and dispersion laws in two-dimensional turbulence, J. Atmos. Sci., 42, 942-949, 1985.
2. Babiano, A., Basdevant, C., Le Roy, P., and Sadourny, R.:. Single particle dispersion, Lagrangian structure function and Lagrangian energy spectrum in two-dimensional incompressible turbulence, J. Mar. Res., 45, 107-131, 1987.
3. Babiano, A. and Le Roy, P.: Quelques remarques sur la formulation non autosimilaire des lois de dispersion relative en turbulence bidimensionnelle, C.R. Acad. Sci. Paris, 305, II, 5-8, 1987.
4. Babiano,A., Basdevant, C., Le Roy, P., and Sadourny, R.: Relative dispersion in two-dimensional turbulence, J. Fluid Mech., 214, 535-557, 1990.
5. Batchelor, G. K.: Diffusion in fields of homogenous turbulence, II. The relative motion of particles, Proc. Camb. Phil. Soc., 48, 345-362, 1952.
6. Bennet, A. F.: A Lagrangian analysis of turbulent diffusion, Rev. Geophys., 25, 799-822, 1987.
7. Castilla, R.: Simulación Cinemática de Flujo Turbulento. Aplicación al Estudio de la Estructura de la Turbulencia y de la Difusión Turbulenta, PhD. U.P.C., 2001.
8. Elhmaídi, D., Babiano, A., and Provenzale, A.: Elementary topology of two-dimensional turbulence from Lagrangian viewpoint and single-particle dispersion, J. Fluid Mech., 257, 533-558, 1993.
9. Fung, J. C. H.: Kinematic simulation of turbulent flow and particle motion. PhD, University of Cambridge, 1990.
10. Fung, J. C. H., Hunt, J. C. D., Malik, N. A., and Perkins, R. J.: Kinematic Simulation of homogeneous turbulence by unsteady random Fourier modes, J. Fluid Mech., 236, 281-318, 1992.
11. Fung, J. C. H. and Vassilicos, J. C.: Two-particle dispersion in turbulentlike flows, Phys. Rev. E, 52, 1677-1690, 1998.
12. Kampé de Fériet, J.: Les fonctions aléatoires stationaires et la théorie statistique de la turbulence homogène, Ann. Soc. Sci. Bruxelles, 59, 145-194, 1939.
13. Kraichnan, R. H.: Dispersion of particle pairs in homogeneous turbulence, Phys. Fluids, 9, 1937-1943, 1966.
14. Kraichnan, R. H.: Diffusion by a random velocity field, Phys. Fluids, 13(1), 22-31, 1970.
15. LaCasce J. and Bower A.: Relative dispersion in the subsurface North Atlantic, 2000, J. Mar. Res., 58, 863-894, 2000.
16. Larchevêque M. and Lesieur, M.: The application of eddy-damped Markovian closure to the problem of dispersion of particle pairs, J. Mecanique, 20, 113-134, 1981.
17. Larchevêque, M.: Pressure field and coherent structures in two-dimensional incompressible flows, Theor. Comput. Fluid Dyn., 5, 215-222, 1993.
18. Lesieur, M. and Herring, J.: Diffusion of a passive scalar in two-dimensional turbulence, J. Fluid Mech., 161, 77-95, 1985.
19. Lin, C. C. and Reid, W. H.: Turbulent flows: theoretical aspects, in: Handbuch der Physik, Vol. VIII/2, Springer, Berlin, 438-523, 1963.
20. Malik, A. M. and Vassilicos, J. C.: A Lagrangian model for turbulent dispersion with turbulent-like flow structure: Comparison with direct numerical simulation for two-particle statistics, Phys. Fluids, 11(6), 1572-1580, 1999.
21. McWilliams, J. C.: The emergence of isolated coherent structures in turbulent flow, J. Fluid Mech., 146, 21-43, 1984.
22. Monin, A. S. and Yaglom, A. M.: Statistical Fluid Mechanics, The MIT Press, 1975.
23. Obukhov, A. M.: Energy distribution in the spectrum of turbulent flow, Izv. Akad. Nauk. SSSR, Ser.-Geogr. i Geofiz., 5, 453-466, 1941.
24. Okubo, A.: Horizontal dispersion of floating particles in the vicinity of velocity singularities such as convergence, Deep-sea Res., 17, 445-454, 1970.
25. Ollitrault, M. and Colin de Verdière, A.: SOFAR Floats Reveal Midlatitude Intermediate North Atlantic General Circulation. Part I: A Lagrangian Descriptive View, J. Phys. Oceanogr., 32, 2020-2033, 2002.
26. Ollitrault, M. and Colin de Verdière, A.: SOFAR Floats Reveal Midlatitude Intermediate North Atlantic General Circulation. Part II: An Eulerian Statistical View, J. Phys. Oceanogr., 32, 2034-2053, 2002.
27. Pasquero, C., Provenzale, A., and Babiano, A.: Parameterization of dispersion in two-dimensional turbulence, Phys. Fluids, 439, 279-303, 2001.
28. Provenzale, A.: Transport by coherent barotropic vortices. Ann. Res. Fluid Mech., 31, 55-93, 1999.
29. Richardson, L. F.: Atmospheric diffusion shown in a distance neighbore graph, Proc. Roy. Soc. London A, 110, 709-737, 1926.
30. Sadourny, R. and Basdevant, C.: Parameterization of subgrid scale
31. barotropic eddies in quasi-geostrophyc models: anticipated potential vorticity method, J. Atmos. Sci., 42, 1353-1363, 1985.
32. Taylor, G. I.: Diffusion by continuous movements, Proc. Lond. Math. Soc., 20, 196-212, 1921.
33. Weiss, J.: The dynamics of the enstrophy transfer in two-dimensional turbulence, Physica D, 48, 273-294, 1991.
34. Zouari, N. and Babiano, A.: Derivation of the relative dispersion law in the inverse energy cascade of two-dimensional turbulence, Physica D, 76, 318-328, 1994.