Towards log-normal statistics in high Reynolds number turbulence

European Physical Journal B

Volumn 1, Issue 1, 1998, Pages 129-140

  Arneodo, A ^a   Manneville, S ^a   Muzy, J F ^a  

^a CENTRE DE RECHERCHE PAUL PASCAL   (France)

Author keywords

02.50. r Probability theory, stochastic processes, and statistics; 47.27.Gs isotropic turbulence; homogeneous turbulence; 47.27.Jv High Reynolds number turbulence

Indexed keywords

PROBABILITY DENSITY FUNCTION; REYNOLDS NUMBER; STATISTICAL METHODS; WAVELET TRANSFORMS; WIND TUNNELS;

HIGH REYNOLDS NUMBER TURBULENCE; SYNTHETIC TURBULENT SIGNALS;

TURBULENCE;

EID: 0031640951     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510050162     Document Type: Article

References (62)

1. A.N. Kolmogorov, C.R. Acad. Sci. USSR 30, 301 (1941).
2. A.S. Monin, A.M. Yaglom, Statistical Fluid Mechanics (MIT press, Cambridge, MA, 1975), Vol. 2.
3. U. Frisch, S.A. Orzag, Phys. Today, 24 (1990).
4. U. Frisch, Turbulence (Cambridge University Press, Cambridge, 1995).
5. M. Briscolini, P. Santangelo, S. Succi, R. Benzi, Phys. Rev. E 50, R1745 (1994).
6. A. Vincent, M. Meneguzzi, J. Fluid Mech. 225, 1 (1995).
7. F. Anselmet, Y. Gagne, E.J. Hopfinger, R.A. Antonia, J. Fluid Mech. 140, 63 (1984).
8. Y. Gagne, Thesis, University of Grenoble (1987).
9. Turbulence: A Tentative Dictionary, edited by P. Tabeling, O. Cardoso (Plenum, New York, 1995).
10. A. Arneodo, et al., Europhys. Lett. 34, 411 (1996).
11. B. Castaing, Y. Gagne, E.J. Hopfinger, Physica D 46, 177 (1990).
12. C. Meneveau, K.R. Sreenivasan, J. Fluid Mech. 224, 429 (1991).
13. A.N. Kolmogorov, J. Fluid Mech. 13, 82 (1962).
14. L. Richardson, Proc. R. Soc. London A 110, 709 (1926).
15. A.M. Obukhov, J. Fluid Mech. 13, 77 (1962).
16. D. Schertzer, S. Lovejoy, J. Geophys. Res. 92, 9693 (1987).
17. S. Kida, J. Phys. Soc. Jpn 60, 5 (1990).
18. E.A. Novikov, Phys. Fluids A 2, 814 (1990); Phys. Rev. E 50, 3303 (1995).
19. E.A. Novikov, Phys. Fluids A 2, 814 (1990); Phys. Rev. E 50, 3303 (1995).
20. B. Dubrulle, Phys. Rev. Lett. 73, 959 (1994).
21. Z.S. She, E.C. Waymire, Phys. Rev. Lett. 74, 262 (1995).
22. B. Castaing, B. Dubrulle, J. Phys. II France 5, 895 (1995).
23. Z.S. She, E. Leveque, Phys. Rev. Lett. 72, 336 (1994).
24. U. Frisch, G. Parisi, in Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics, edited by M. Ghil, R. Benzi, G. Parisi (North-Holland, Amsterdam, 1985), p. 84.
25. G. Pedrizetti, E.A. Novikov, A.A. Praskovsky, Phys. Rev. E 53, 475 (1996).
26. R. Benzi, S. Ciliberto, R. Trippiccione, C. Baudet, F. Massaioli, S. Succi, Phys. Rev. E 48, R29 (1993).
27. R. Benzi, S. Ciliberto, C. Baudet, G. Ruiz-Chavarria, R. Tripiccione, Europhys. Lett. 24, 275 (1993).
28. R. Benzi, S. Ciliberto, C. Baudet, G. Ruiz-Chavarria, Physica D 80, 385 (1995).
29. A. Arneodo, E. Bacry, J.F. Muzy, Physica A 213, 232 (1995).
30. B. Castaing, Y. Gagne, M. Marchand, Physica D 68, 387 (1993).
31. Y. Gagne, M. Marchand, B. Castaing, J. Phys. II France 4, 1 (1994).
32. A. Naert, L. Puech, B. Chabaud, J. Peinke, B. Castaing, B. Hebral, J. Phys. II France 4, 215 (1994).
33. B. Chabaud, A. Naert, J. Peinke, F. Chillà, B. Castaing, B. Hebral, Phys. Rev. Lett. 73, 3227 (1994).
34. F. Chillà, J. Peinke, B. Castaing, J. Phys. II France 6, 455 (1996).
35. P. Kailasnath, K.R. Sreenivasan, G. Stolovitzky, Phys. Rev. Lett. 68, 2766 (1992).
36. P. Tabeling, G. Zocchi, F. Belin, J. Maurer, H. Willaime, Phys. Rev. E 53, 1613 (1996).
37. F. Belin, P. Tabeling, H. Willaime, Physica D 93, 52 (1996).
38. A. Arneodo, J.F. Muzy, S.G. Roux, J. Phys. II France 7, 363 (1997).
39. A. Arneodo, S. Manneville, J.F. Muzy, S.G. Roux, Experimental evidence for anomalous scale dependent cascading process in turbulent velocity statistics, CRPP preprint (1997).
40. S.G. Roux, Ph D Thesis, University of Aix-Marseille II (1996).
41. J.F. Muzy, E. Bacry, A. Arneodo, Phys. Rev. Lett. 67, 3515 (1991); Int. J. Bifurcation and Chaos 4, 245 (1994).
42. J.F. Muzy, E. Bacry, A. Arneodo, Phys. Rev. Lett. 67, 3515 (1991); Int. J. Bifurcation and Chaos 4, 245 (1994).
43. Y. Meyer, Ondelettes (Hermann, Paris, 1990).
44. I. Daubechies, Ten Lectures on Wavelets (SIAM, Philadelphia, 1992).
45. (a) A. Arneodo, E. Bacry, S. Jaffard, J.F. Muzy, to appear in J. of Fourier Anal, and Appl. (1997);
46. (b) A. Arneodo, E. Bacry, S. Manneville, J.F. Muzy, in preparation.
47. A. Grossmann, J. Morlet, SIAM J. Math. Anal. Appl. 15, 723 (1984); in Mathematics and Physics, Lecture on Recent Results, edited by L. Streit (World Scientific, Singapore, 1985), p. 135.
48. A. Grossmann, J. Morlet, SIAM J. Math. Anal. Appl. 15, 723 (1984); in Mathematics and Physics, Lecture on Recent Results, edited by L. Streit (World Scientific, Singapore, 1985), p. 135.
49. I. Daubechies, A. Grossmann, Y. Meyer, J. Math. Phys. 27, 1271 (1986).
50. S. Mallat, W.L. Hwang, IEEE Trans. Inform. Theory 38, 617 (1992).
51. E. Bacry, J.F. Muzy, A. Arneodo, J. Stat. Phys. 70, 635 (1993).
52. J.F. Muzy, E. Bacry, A. Arneodo, Phys. Rev. E 47, 875 (1993).
53. B. Dubrulle, J. Phys. II France 6, 1825 (1996).
54. C. Baudet, S. Ciliberto, P.N. Tien, J. Phys. II France 3 293 (1993).
55. G. Stolovitzky, K.R. Sreenivasan, Phys. Rev. E 48, R33 (1993).
56. E. Leveque, Z.S. She, Phys. Rev. Lett. 75, 2690 (1995); Phys. Rev. E 55, 2789 (1997).
57. E. Leveque, Z.S. She, Phys. Rev. Lett. 75, 2690 (1995); Phys. Rev. E 55, 2789 (1997).
58. R. Benzi, L. Biferale, E. Trovatore, Phys. Rev. Lett. 77, 3114 (1996).
59. G. Ruiz-Chavarria, C. Baudet, S. Ciliberto, Phys. Rev. Lett. 74, 1986 (1995).
60. Y. Gagne, Y. Malecot, private communication.
61. A. Arneodo, E. Bacry, S. Manneville, J.F. Muzy, Analysis of random cascades using space-scale correlation functions, CRPP preprint (1997).
62. A. Arneodo, J.F. Muzy, D. Sornette, Causal cascade in the stock market from the infrared to the ultraviolet, CRPP preprint (1997).