Intermittency and the slow approach to Kolmogorov scaling

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

Volumn 55, Issue 6 SUPPL. A, 1997, Pages 7000-7004

  Holdom, B ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID DYNAMICS; HYDRODYNAMICS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; VISCOSITY;

EDDY FLOW; KOLMOGOROV SCALING; POWER LAW;

TURBULENCE;

EID: 0031161851     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.55.7000     Document Type: Article

References (17)

1. A. N. Koimogorov, Dokl. Akad. Nauk SSSR 30, 9 (1941).
2. U. Frisch, Turbulence: The Legacy of A. N. Koimogorov (Cambridge University Press, Cambridge, England, 1995).
3. A. Arneodo et al., Europhys. Lett. 34, 411 (1996).
4. J. Herweijer and W. van de Water, Phys. Rev. Lett. 74, 4651 (1995).
5. (a) P. Tabeling, G. Zocci, F. Belin, J. Maurer, and H. Willaime, Phys. Rev. E 53, 1613 (1995);
6. (b) F. Belin, P. labeling, and H. Willaime, Physica D 93, 52 (1996).
7. (a) R. Benzi, S. Ciliberto, C. Baudet, and G. R. Chavarria, Physica D 80, 385 (1995);
8. (b) R. Benzi, L. Biferale, S. Ciliberto, M. V. Strugila, and T. Tripiccione, ibid. 96, 162 (1996).
9. This superposition of Gaussians is reminiscent of the proposal by B. Castaing, Y. Gagne, and E. Hopfinger, Physica D 46, 177 (1990).
10. 2 = 0.7.
11. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 32, 16 (1941).
12. Z.-S. She and E. Leveque, Phys. Rev. Lett. 72, 336 (1994).
13. This expression could be "derived" from a path integral as before, where the discretization of the range from 0 to r would be determined by unit steps in the function g(r). Instead of each point, groups of adjacent points would have a single fluctuating volatility and the transition from one grouping to the next would be determined by unit steps in the function f(r).
14. Although we expect f( η) to have some dependence on the size of the inertial range, we take f(η) = 1 for simplicity.
15. The tendency for the intermediate viscous range to grow with the Reynolds number has been noted, for example, in Ref, [5(a)].
16. This figure may be compared with Fig. l in Ref. [6(b)].
17. R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, E. Massaioli, and S. Succi, Phys. Rev. E 48, 29 (1993).