Unified multifractal description of velocity increments statistics in turbulence: Intermittency and skewness

Physica D: Nonlinear Phenomena

Volumn 218, Issue 1, 2006, Pages 77-82

  Chevillard, L ^a,b   Castaing, B ^b   Leveque E ^b   Arneodo, A ^b  

^a Johns Hopkins University   (United States)

^b UNIVERSITÉ DE LYON   (France)

Author keywords

Intermittency; Isotropic turbulence; Longitudinal velocity statistics; Multifractal formalism; Skewness

Indexed keywords

ENERGY DISSIPATION; FLOW OF FLUIDS; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; REYNOLDS NUMBER; STATISTICAL METHODS; VELOCITY MEASUREMENT;

INTERMITTENCY; ISOTROPIC TURBULENCE; LONGITUDINAL VELOCITY STATISTICS; MULTIFRACTAL FORMALISM; SKEWNESS;

TURBULENCE;

EID: 33747111363     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2006.04.011     Document Type: Article

References (32)

1. Frisch U. Turbulence (1995), Cambridge University Press, Cambridge
2. Kailasnath P., Sreenivasan K.R., and Stolovitzky G. Probability density of velocity increments in turbulent flows. Phys. Rev. Lett. 68 (1992) 2766
3. Chevillard L., Castaing B., and Lévêque E. On the rapid increase of intermittency in the near-dissipation range of fully developed turbulence. Eur. Phys. J. B 45 (2005) 561
4. Parisi G., and Frisch U. In: Ghil M., Benzi R., and Parisi G. (Eds). Turbulence and Predictability in Geophysical Fluid Dynamics (1985), North-Holland, Amsterdam 84
5. Paladin G., and Vulpiani A. Degrees of freedom of turbulence. Phys. Rev. A 35 (1987) 1971
6. Nelkin M. Multifractal scaling of velocity derivatives in turbulence. Phys. Rev. A 42 (1990) 7226
7. Frisch U., and Vergassola M. A prediction of the multifractal model: The intermediate dissipation range. Europhys. Lett. 14 (1991) 439
8. Meneveau C. On the transition between viscous and inertial-range scaling of turbulence structure functions. Phys. Rev. E 54 (1996) 3657
9. Castaing B., Gagne Y., and Hopfinger E. Velocity probability density functions of high Reynolds number turbulence. Physica D 46 (1990) 177
10. Castaing B., Gagne Y., and Marchand M. Log-similarity for turbulent flows ?. Physica D 68 (1993) 387
11. Lohse D. Crossover from high to low Reynolds number turbulence. Phys. Rev. Lett. 73 (1994) 3223
12. Gagne Y., Castaing B., Baudet C., and Malécot Y. Reynolds dependence of third-order velocity structure functions. Phys. Fluids 16 (2004) 482
13. Batchelor G.K. Pressure fluctuations in isotropic turbulence. Proc. Cambridge Philos. Soc. 47 (1951) 359
14. Sirovich L., Smith L., and Yakhot V. Energy spectrum of homogeneous and isotropic turbulence in far dissipation range. Phys. Rev. Lett. 72 (1994) 344
15. Lohse D., and Müller-Groeling A. Bottleneck effects in turbulence: Scaling phenomena in r versus p space. Phys. Rev. Lett. 74 (1995) 1747
16. L. Chevillard, Ph.D. Thesis 2004. Available online athttp://tel.ccsd.cnrs.fr
17. Chevillard L., Roux S.G., Lévêque E., Mordant N., Pinton J.-F., and Arneodo A. Lagrangian velocity statistics in turbulent flows: Effects of dissipation. Phys. Rev. Lett. 91 (2003) 214502
18. Biferale L., Boffetta G., Celani A., Devenish B.J., Lanotte A., and Toschi F. Multifractal statistics of Lagrangian velocity and acceleration in turbulence. Phys. Rev. Lett. 93 (2004) 064502
19. Delour J., Muzy J.-F., and Arneodo A. Intermittency of 1d velocity spatial profiles in turbulence : A magnitude cumulant analysis. Eur. Phys. J. B 23 (2001) 243
20. Chanal O., Chabaud B., Castaing B., and Hébral B. Intermittency in a turbulent low temperature gaseous helium jet. Eur. Phys. J. B 17 (2000) 309
21. Ruiz-Chavarria G., Baudet C., and Ciliberto S. Hierarchy of the energy dissipation moments in fully developed turbulence. Phys. Rev. Lett. 74 (1995) 1986
22. Kahalerras H., Malécot Y., Gagne Y., and Castaing B. Intermittency and Reynolds number. Phys. Fluids 10 (1998) 910
23. Arneodo A., Manneville S., and Muzy J.-F. Towards log-normal statistics in high Reynolds number turbulence. Eur. Phys. J. B 1 (1998) 129
24. Monin A.S., and Yaglom A.M. Statistical Fluid Mechanics (1971), MIT Press, Cambridge
25. Qian J. Closure approach to high-order structure functions of turbulence. Phys. Rev. Lett. 84 (2000) 646
26. Lindborg E. Correction to the four-fifths law due to variations of the dissipation. Phys. Fluids 11 (1999) 510
27. Lundgren T. Kolmogorov two-thirds law by matched asymptotic expansion. Phys. Fluids 14 (2002) 638
28. Van Atta C.W., and Antonia R. Reynolds number dependence of skewness and flatness factors of turbulent velocity derivatives. Phys. Fluids 23 (1980) 252
29. Tabeling P., Zocchi G., Belin F., Maurer J., and Willaime H. Probability density functions, skewness, and flatness in large Reynolds number turbulence. Phys. Rev. E 53 (1996) 1613
30. Sreenivasan K.R., and Antonia R.A. The phenomenology of small-scale turbulence. Annu. Rev. Fluid Mech. 29 (1997) 435
31. Kang H.S., Chester S., and Meneveau C. Decaying turbulence in an active-grid-generated flow and comparisons with large-eddy simulation. J. Fluid Mech. 480 (2003) 129
32. McCullagh P. Tensor Methods in Statistics (1987), Chapman and Hall, London