Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 3, 2008, Pages

  Mininni, P D ^a,b   Alexakis, A ^c   Pouquet, A ^b  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^b NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

^c UNIVERSITÉ CÔTE D'AZUR   (France)

Author keywords

[No Author keywords available]

Indexed keywords

HYDRODYNAMICS; REYNOLDS NUMBER; SCALING LAWS; STEADY FLOW; TURBULENCE MODELS; VORTEX FLOW;

HYDRODYNAMIC TURBULENCE; NONLOCAL INTERACTIONS; TAYLOR-GREEN VORTEX; TURBULENT STEADY STATE;

FLOW INTERACTIONS;

EID: 40949123117     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.036306     Document Type: Article

References (56)

1. Y. Kaneda, T. Ishihara, M. Yokokawa, K. Itakura, and A. Uno, Phys. Fluids 15, L21 (2003). 1070-6631
2. N. E. L. Haugen and A. Brandenburg, Phys. Fluids 18, 075106 (2006). 1070-6631
3. T. Gotoh, D. Fukayama, and T. Nakano, Phys. Fluids 14, 1065 (2002). 1070-6631
4. K. R. Sreenivasan and R. A. Antonia, Annu. Rev. Fluid Mech. 0066-4189 29, 435 (1997).
5. X. Shen and Z. Warhaft, Phys. Fluids 12, 2976 (2000). 1070-6631
6. S. B. Pope, Turbulent flows (Cambridge University Press, Cambridge, England, 2000).
7. S. Kurien and K. R. Sreenivasan, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.2206 62, 2206 (2000).
8. L. Biferale and F. Toschi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4831 86, 4831 (2001).
9. L. Biferale, I. Daumont, A. Lanotte, and F. Toschi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.056306 66, 056306 (2002).
10. P. D. Mininni, A. Alexakis, and A. Pouquet, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.016303 74, 016303 (2006).
11. D. Bernard, G. Boffetta, A. Celani, and G. Falkovich, Nat. Phys. 2, 124 (2006).
12. L. Biferale, M. Cencini, A. S. Lanotte, M. Sbragaglia, and F. Toschi, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/6/1/037 6, 37 (2004).
13. G. Falkovich, K. Gawdzki, and M. Vergassola, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.913 73, 913 (2001).
14. A. Alexakis, P. D. Mininni, and A. Pouquet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.264503 95, 264503 (2005).
15. J.-P. Laval, B. Dubrulle, and S. Nazarenko, Phys. Fluids 13, 1995 (2001). 1070-6631
16. J. A. Domaradzki and R. S. Rogallo, Phys. Fluids 2, 413 (1990). 1070-6631
17. Y. Zhou, Phys. Fluids A PFADEB 0899-8213 10.1063/1.858764 5, 2511 (1993).
18. P. K. Yeung, J. Brasseur, and Q. Wang, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112095002230 283, 43 (1995).
19. C. Poulain, N. Mazellier, L. Chevillard, Y. Gagne, and C. Baudet, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2006-00354-y 53, 219 (2006).
20. J. A. Domaradzki, Phys. Fluids PFLDAS 0031-9171 10.1063/1.866980 31, 2747 (1988).
21. R. M. Kerr, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112090001586 211, 309 (1990).
22. P. K. Yeung and J. G. Brasseur, Phys. Fluids A PFADEB 0899-8213 10.1063/1.857966 3, 884 (1991).
23. K. Ohkitani and S. Kida, Phys. Fluids A PFADEB 0899-8213 10.1063/1.858296 4, 794 (1992).
24. Y. Zhou, Phys. Fluids A PFADEB 0899-8213 10.1063/1.858764 5, 2511 (1993).
25. J. G. Brasseur and C. H. Wei, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868322 6, 842 (1994).
26. Y. Zhou, P. K. Yeung, and J. G. Brasseur, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.1261 53, 1261 (1996).
27. K. Kishida, K. Araki, S. Kishiba, and K. Suzuki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.5487 83, 5487 (1999).
28. J. Carlier, J. P. Laval, and M. Stanislas, Compt. Rend. l'Académ. Sci., Ser. II 329, 35 (2001).
29. M. K. Verma, A. Ayyer, O. Debliquy, S. Kumar, A. V. Chandra, and J. Pramana, Physica 65, 297 (2005). 0031-8914
30. U. Frisch, Turbulence: The Legacy of A.N. Kolmogorov (Cambridge University Press, Cambridge, England, 1995).
31. G. I. Taylor and A. E. Green, Proc. R. Soc. London, Ser. A 158, 499 (1937).
32. J. R. Herring, D. Schertzer, M. Lesieur, G. R. Newman, J. P. Chollet, and M. Larcheveque, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112082002560 124, 411 (1982).
33. G. Falkovich, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868255 6, 1411 (1994).
34. D. Lohse and A. Müller-Groeling, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.1747 74, 1747 (1995).
35. D. O. Martínez, S. Chen, G. D. Doolen, R. H. Kraichnan, L.-P. Wang, and Y. Zhou, J. Plasma Phys. JPLPBZ 0022-3778 10.1017/S0022377896005338 57, 195 (1997).
36. S. Kurien, M. A. Taylor, and T. Matsumoto, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.066313 69, 066313 (2004).
37. R. H. Kraichnan, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112071001216 47, 525 (1971).
38. M. Lesieur, Turbulence in Fluids (Kluwer, Dordrecht, 1997).
39. A. Alexakis, P. D. Mininni, and A. Pouquet, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.046301 72, 046301 (2005).
40. M. Verma, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2004.07.007 401, 229 (2004).
41. K. Ohkitani and S. Kida, Phys. Fluids A PFADEB 0899-8213 10.1063/1.858296 4, 794 (1992).
42. Y. Tsuji, Phys. Fluids 16, L43 (2004). 1070-6631
43. T. Ishihara, Y. Kaneda, M. Yokokawa, K. Itakura, and A. Uno, J. Phys. Soc. Jpn. 0031-9015 74 1464 (2005).
44. Y. Kaneda and T. Ishihara, J. Turbul. ZZZZZZ 1468-5248 10.1080/14685240500256099 7, 20 (2006).
45. C. W. Van Atta and R. A. Antonia, Phys. Fluids PFLDAS 0031-9171 10.1063/1.862965 23, 252 (1980).
46. A. Praskovsky and S. Oncley, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868435 6, 2886 (1994).
47. L. Mydlarski and Z. Warhaft, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112096007562 320, 331 (1996).
48. A. N. Kolmogorov, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112062000518 13, 82 (1962).
49. A. M. Oboukhov, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112062000506 13, 77 (1962).
50. M. Nelkin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.7226 42, 7226 (1990).
51. R. Benzi, S. Ciliberto, C. Baudet, G. R. Chavarria, and R. Tripiccione, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/24/4/007 24, 275 (1993).
52. R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.48.R29 48, R29 (1993).
53. Z. S. She and E. Lévêque, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.336 72, 336 (1994).
54. D. H. Porter, P. R. Woodward, and A. Pouquet, Phys. Fluids 10, 237 (1998). 1070-6631
55. F. Moisy and J. Jiménez, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112004009802 513, 111 (2004).
56. J. Clyne, P. Mininni, A. Norton, and M. Rast, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/8/301 9, 301 (2007).