Particle transport in a random velocity field with Lagrangian statistics

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 5, 2002, Pages 19-

  Olla, Piero ^a  

^a CNR   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONCENTRATION (PROCESS); LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; REYNOLDS NUMBER; STATISTICAL METHODS; TURBULENT FLOW; VELOCITY MEASUREMENT;

LAGRANGIAN STATISTICS; PARTICLE TRANSPORT; TURBULENCE DYNAMICS; VELOCITY FIELDS;

HIGH ENERGY PHYSICS;

ARTICLE;

EID: 41349114200     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.056304     Document Type: Article

References (45)

1. R.H. Kraichnan, Phys. Fluids 7, 1723 (1964).
2. R.H. Kraichnan, Phys. Fluids 8, 575 (1965).
3. R.H. Kraichnan, J. Fluid Mech. 47, 525 (1971).
4. S. Orszag, in Fluid Dynamics, edited by R. Balian and J.-L. Peube (Gordon and Breach, New York, 1977), pp. 235–374.
5. V. Yakhot and S. Orszag, J. Sci. Comput. 1, 3 (1986).
6. R.H. Kraichnan, Phys. Rev. Lett. 72, 1016 (1994).
7. M. Chertkov, G. Falkovich, I. Kolokolov, and V. Lebedev, Phys. Rev. E 52, 4924 (1995).
8. K. Gawȩdzki and A. Kupiainen, Phys. Rev. Lett. 75, 3834 (1995).
9. U. Frisch, A. Mazzino, and M. Vergassola, Phys. Rev. Lett. 80, 5532 (1998).
10. O. Gat, I. Procaccia, and R. Zeitak, Phys. Rev. Lett. 80, 5536 (1998).
11. O. Gat and R. Zeitak, Phys. Rev. E 57, 5331 (1998).
12. A. Pumir, B.I. Shraiman, and M. Chertkov, Phys. Rev. Lett. 85, 5324 (2000).
13. A. Celani and M. Vergassola, Phys. Rev. Lett. 86, 424 (2001).
14. D.J. Thomson, J. Fluid Mech. 180, 529 (1987).
15. D.J. Thomson, J. Fluid Mech. 210, 113 (1990).
16. M.S. Borgas and B.L. Sawford, J. Fluid Mech. 279, 69 (1994).
17. G.T. Csanady, J. Atmos. Sci. 20, 201 (1963).
18. B.L. Sawford and F.M. Guest, Boundary-Layer Meteorol. 54, 147 (1991).
19. L.P. Wang, M.R. Maxey, T.D. Burton, and D.E. Stock, Phys. Fluids A 4, 1789 (1992).
20. S. Elgobashi and G.C. Truesdell, J. Fluid Mech. 242, 655 (1992).
21. L.-P. Wang and M.R. Maxey, Appl. Sci. Res. 51, 291 (1993).
22. P. Olla, Phys. Fluids 14, 4266 (2002).
23. T. Elperin, N. Keeorin, I. Rogachevskii, and D. Sokoloff, Phys. Chem. Earth 25, 797 (2000).
24. E. Balkovsky, G. Falkovich, and A. Fouxon, Phys. Rev. Lett. 86, 2790 (2001).
25. P. Olla, Phys. Rev. Lett. 67, 2465 (1991).
26. Going beyond lowest order would be necessary to evaluate the nonlinear energy flux produced dynamically by Eq. (2.7) and to see if there is an inverse cascade, as in a real turbulent flow with similar characteristics.
27. P.C. Martin, E.D. Siggia, and H.A. Rose, Phys. Rev. A 8, 423 (1973).
28. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon Press, Oxford, 1989).
29. B.L. Sawford, Phys. Fluids A 3, 1577 (1991).
30. G.W. Gardiner, Handbook of Stochastic Methods (Springer, Berlin, 1990).
31. I.S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic Press, New York, 1980).
32. G. Boffetta and A. Celani, Physica A 280, 1 (2000).
33. M.R. Maxey and J.J. Riley, Phys. Fluids 26, 883 (1982).
34. J. Weinstock, Phys. Fluids 19, 1702 (1976).
35. L.M. Pismen and A. Nir, J. Fluid Mech. 84, 193 (1978).
36. A. Nir and L.M. Pismen, J. Fluid Mech. 94, 369 (1979).
37. R.H. Kraichnan, Phys. Fluids 7, 142 (1964).
38. M.W. Reeks, J. Fluid Mech. 83, 529 (1977).
39. P. Paradisi and F. Tampieri, Nuovo Cimento Soc. Ital. Fis., C 24C, 407 (2001).
40. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1973).
41. H. Tennekes and J.L. Lumley, A First Course in Turbulence (MIT Press, Cambridge, 1972).
42. L.-P. Wang and M.R. Maxey, J. Fluid Mech. 256, 27 (1993).
43. F. Hainaux, A. Aliseda, A. Cartellier, and J. Lasheras, in Advances in Turbulence VIII, Proceedings of the 8th European Turbulence Conference EUROMECH, edited by C. Dopazo (CIMNE, Barcelona, Spain, 2000), pp. 553–556.
44. V.I. Belinicher and V.S. L’vov, Sov. Phys. JETP 66, 302 (1987).
45. V.S. L’vov and I. Procaccia, Phys. Rev. E 62, 8037 (2001).