Extension of the Kida law in turbulence;Extension de la loi de Kida en turbulence

Comptes Rendus - Mecanique

Volumn 331, Issue 11, 2003, Pages 775-782

  Rimbert, Nicolas ^a   Séro Guillaume, Olivier ^a  

^a NANCY UNIVERSITÉ   (France)

Author keywords

Cascade theory; Intermittency; Log stable law; Turbulence

Indexed keywords

MATHEMATICAL ANALYSIS; MODELING; TURBULENCE; VELOCITY;

ARTICLE; MATHEMATICAL ANALYSIS; MATHEMATICAL PARAMETERS; MEASUREMENT; PROBABILITY; TURBULENT FLOW; VELOCITY;

EID: 0242679381     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-0721(03)00143-8     Document Type: Article

References (16)

1. S. Kida, Log-stable distribution and intermittency of turbulence, J. Phys. Soc. Japan 60 (1) (1991) 5-8.
2. A.M. Oboukhov, Some specific features of atmospheric turbulence, J. Fluid Mech. 13 (1961) 77-81.
3. A.N. Kolmogorov, A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number, J. Fluid Mech. 13 (1962) 82-85.
4. A.N. Kolmogorov, On the logarithmically normal law of distribution of the size of particles under pulverization, Dokl. Akad. Nauk SSSR 31 (1941) 99-101.
5. E.A. Novikov, Infinitely divisible distributions in turbulence, Phys. Rev. E 50 (1994) 50-52.
6. B. Castaing, B. Dubrulle, Fully developed turbulence: a unifying point of view, J. Phys. II (France) 5 (1995) 895-899.
7. D. Schertzer, S. Lovejoy, F. Schmitt, Y. Chiguirinskaya, D. Marsan, Multifractal cascade dynamics and turbulent intermittency, Fractals 5 (3) (1997) 427-471.
8. F. Anselmet, Y. Gagne, E.J. Hopfinger, R.A. Antonia, High-order velocity structure function in turbulent shear flows, J. Fluid Mech. 140 (63) (1984).
9. S. Kida, Log-stable distribution in turbulence, Fluid Dyn. Res. 8 (1991) 135-138.
10. R.W. Stewart, J.R. Wilson, R.W. Burling, Some statistical properties of small scale turbulence in an atmospheric boundary layer, J. Fluid Mech. 41 (1970) 141-152.
11. R.M. Kerr, Higher-order derivative correlations and the alignment of small-scale structure in isotropic numerical turbulence, J. Fluid Mech. 153 (1985) 31-58.
12. F. Belin, J. Maurer, P. Tabeling, H. Willaime, Velocity gradient distributions in fully developed turbulence: an experimental study, Phys. Fluids 9 (12) (1997) 3843-3850.
13. P. Tabeling, H. Willaime, Transition at dissipative scales in large-Reynolds-number turbulence, Phys. Rev. E 65 (2002) 066301.
14. G. Samorodnitsky, M.S. Taqqu, Stable Non-Gaussian Random Processes, Chapman & Hall, 1994.
15. A.S. Monin, A.M. Yaglom, in: Statistical Fluid Mechanics, Vol. 2, MIT Press, 1987.
16. H. Tennekes, J.L. Lumley, A First Course in Turbulence, MIT Press, 1972.