Extended self-similarity and hierarchical structure in turbulence

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

Volumn 65, Issue 6, 2002, Pages

  Ching, Emily S C ^a   She, Zhen Su ^b,c   Su, Weidong ^a,b   Zou, Zhengping ^b  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b PEKING UNIVERSITY   (China)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EXTENDED SELF-SIMILARITY (ESS); GENERALIZED ESS (GESS); SHE-LEVEQUE HIERARCHICAL STRUCTURE; SHELL MODELS;

BOUNDARY LAYERS; HIERARCHICAL SYSTEMS; MATHEMATICAL MODELS; PIPE FLOW; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES;

TURBULENT FLOW;

EID: 41349093919     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.066303     Document Type: Article

References (28)

1. A.N. Kolmogorov, C. R. Acad. Sci. URSS 30, 301 (1941).
2. U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, England, 1995).
3. R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi, Phys. Rev. E 48, R29 (1993);
4. R. Benzi, S. Ciliberto, C. Baudet, G.R. Chavarria, and R. Tripiccione, Europhys. Lett. 24, 275 (1993).
5. G. Stolovitzky and K.R. Sreenivasan, Phys. Rev. E 48, R33 (1993).
6. R. Benzi, M.V. Struglia, and R. Tripiccione, Phys. Rev. E 53, R5565 (1996).
7. G. Amati, R. Benzi, and S. Succi, Phys. Rev. E 55, 6985 (1997).
8. R. Benzi, L. Biferale, S. Ciliberto, M.V. Struglia, and R. Tripiccione, Europhys. Lett. 32, 709 (1995).
9. R. Benzi, L. Biferale, S. Ciliberto, M.V. Struglia, and R. Tripiccione, Physica D 96, 162 (1996).
10. R. Benzi, S. Ciliberto, C. Baudet, and G.R. Chavarria, Physica D 80, 385 (1995).
11. D. Segel, V. L’vov, and I. Procaccia, Phys. Rev. Lett. 76, 1828 (1996).
12. H. Fujisaka and S. Grossmann, Phys. Rev. E 63, 026305 (2001).
13. V. Yakhot, Phys. Rev. Lett. 87, 234501 (2001).
14. Z.-S. She and E. Leveque, Phys. Rev. Lett. 72, 336 (1994);Z.-S. She, Lecture Notes in Physics, edited by Eden et al. (Springer-Verlag, New York, 1997), Vol. 491, p. 28;
15. Z.-S. She, Prog. Theor. Phys. Suppl. 130, 87 (1998).
16. G.R. Chavarria, C. Baudet, and S. Ciliberto, Phys. Rev. Lett. 74, 1986 (1995).
17. G.R. Chavarria, C. Baudet, R. Benzi, and S. Ciliberto, J. Phys. II 5, 485 (1995).
18. R. Camussi and R. Benzi, Phys. Fluids 9, 257 (1997).
19. G.R. Chavarria, C. Baudet, and S. Ciliberto, Physica D 99, 369 (1996).
20. E. Leveque, G.R. Chavarria, C. Baudet, and S. Ciliberto, Phys. Fluids 11, 1869 (1999).
21. E.S.C. Ching, Phys. Rev. E 61, R33 (2000).
22. E.S.C. Ching and C.Y. Kwok, Phys. Rev. E 62, R7587 (2000).
23. P. Frick, B. Dubrulle, and A. Babiano, Phys. Rev. E 51, 5582 (1995).
24. R. Benzi, L. Biferale, and E. Trovatore, Phys. Rev. Lett. 77, 3114 (1996).
25. E. Leveque and Z.-S. She, Phys. Rev. E 55, 2789 (1997).
26. E.A. Novikov, Phys. Rev. E 50, R3303 (1994).
27. S. Chen and N. Cao, Phys. Rev. E 52, R5757 (1995).
28. The experiment was conducted at the State Key Laboratory for Turbulence Research at Peking University.