Intermittency and interrelationships between turbulence scalling exponents: Phase-randomization tests

Physics of Fluids

Volumn 13, Issue 5, 2001, Pages 1404-1414

  Nikora, V ^a   Goring, D ^a   Camussi, R ^b  

^a NATIONAL INSTITUTE OF WATER AND ATMOSPHERIC RESEARCH   (New Zealand)

^b ROMA TRE UNIVERSITY   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY DISSIPATION; TURBULENCE; VELOCITY MEASUREMENT;

SPECTRAL ENERGY FLUX;

FLUIDS;

FLOW VELOCITY; JET FLOW; TURBULENCE; VORTICITY;

EID: 0035339748     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1360193     Document Type: Article

References (32)

1. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics: Mechanics of Turbulence (MIT Press, Boston, MA, 19751, Vol. 2, p. 874.
2. U. Frisch, Turbulence. The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, England, 1995), p. 296.
3. K. R. Sreenivasan and R. A. Antonia, "The phenomenology of small-scale turbulence," Annu. Rev. Fluid Mech. 29, 435 (1997).
4. S. I. Vainshtein, K. R. Sreenivasan, R. T. Pierrehumbert, V. Kashyap, and A. Juneja, "Scaling exponents for turbulence and other random processes and their relationships with multifractal structure," Phys. Rev. E 50, 1823 (1994).
5. V. I. Nikora and D. G. Goring, "On the relationship between Kolmogorov's and generalized structure functions in the inertial subrange of developed turbulence," J. Phys. A 32, 4963 (1999).
6. R. Benzi, G. Paladin, G. Parisi, and A Vulpiani, "On the multifractal nature of fully-developed turbulence and chaotic systems," J. Phys. A 17, 3521 (1984).
7. C. Meneveau and K. R. Sreenivasan, "The multifractal nature of turbulent energy dissipation," J. Fluid Mech. 224, 429 (1991).
8. K. R. Sreenivasan, "Fractals and multifractals in fluid turbulence," Annu. Rev. Fluid Mech. 23, 539 (1991).
9. E. Ott, Y. Du, K. R. Sreenivasan, A. Juneja, and A. K. Suri, "Sign-singular measures: Fast magnetic dynamos, and high-Reynolds-number fluid turbulence," Phys. Rev. Lett. 69, 2654 (1992).
10. Y. Du, T. Tel, and E. Ott, "Characterization of sign-singular measures," Physica D 76, 168 (1994).
11. O. N. Boratav, "On recent intermittency models of turbulence," Phys. Fluids 9, 1206 (1997).
12. L-P. Wang, S. Chen, J. G. Brasseur, and J. Wyngaard, "Examination of hypotheses in the Kolmogorov refined turbulence theory through high-resolution simulations. Part 1. Velocity field," J. Fluid Mech. 309, 113 (1996).
13. R. Camussi, C. Baudet, R. Benzi, and S. Ciliberto, "Statistical uncertainty in the analysis of structure functions in turbulence," Phys. Rev. E 54, R3098 (1996).
14. R. Camussi, C. Baudet, R. Benzi, and S. Ciliberto, "Scaling properties of velocity increments correlation function," Phys. Fluids 8, 1686 (1996).
15. R. Camussi and G. Guj, "Orthonormal wavelet decomposition of turbulent flows: Intermittency and coherent structures," J. Fluid Mech. 348, 177 (1997).
16. G. Guj and R. Camussi, "Statistical analysis of local turbulent energy fluctuations," J. Fluid Mech. 382, 1 (1997).
17. R. Camussi and R. Verzicco, "Anomalous scaling exponents and coherent structures in high Re fluid turbulence," Phys. Fluids 12, 676 (2000).
18. E. Aurell, U. Frisch, J. Lutsko, and M. Vergassola, "On the multifractal properties of the energy dissipation derived from turbulence data," J. Fluid Mech. 238, 467 (1992).
19. I. Hosokawa, S-I. Oide, and K. Yamamoto, "Isotropic turbulence: Important differences between true dissipation rate and its one-dimensional surrogate," Phys. Rev. Lett. 77, 4548 (1996).
20. G. Stolovitzky, C. Meneveau, and K. R. Sreenivasan, "Comment on 'Isotropic turbulence: Important differences between true dissipation rate and its one-dimensional surrogate,'" Phys. Rev. Lett. 80, 3883 (1998).
21. T. Zhou and R. A. Antonia, "Approximations for turbulent energy and temperature variance dissipation rates in grid turbulence," Phys. Fluids 12, 335 (2000).
22. T. Sanada, "Phase coherency of intermittent turbulence field," Prog. Theor. Phys. 84, 12 (1990).
23. M. Yamada and K. Ohkitani, "An identification of energy cascade in turbulence by orthonormal wavelet analysis," Prog. Theor. Phys. 86, 799 (1991).
24. J. Jimenez, "Turbulent velocity fluctuations need not be Gaussian," J. Fluid Mech. 376, 139 (1998).
25. D. G. Goring and V. I. Nikora, "Phase-randomization and phase-synchronization as turbulence analysis tools," Electronic Proceedings of the XXVII IAHR Congress, Graz, Austria, 1999 (p. 237 in Abstract Volume, full papers on CD-ROM].
26. V. I. Nikora and D. G. Goring, "Sand waves in unidirectional flows: Scaling and intermittency," Phys. Fluids 12, 703 (2000).
27. R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi, "Extended self-similarity in turbulent flows," Phys. Rev. E 48, R29 (1993).
28. R. Benzi, L. Biferale, S. Ciliberto, M. V. Struglia, and R. Tripiccione, "Generalized scaling in fully developed turbulence," Physica D 96, 162 (1996).
29. M. Nelkin, "Universality and scaling in fully developed turbulence," Adv. Phys. 43, 143 (1994).
30. F. Anselmet, Y. Cagne, E. J. Hopfinger, and R. A. Antonia, "High-order velocity structure functions in turbulent shear flows," J. Fluid Mech. 149, 63 (1984).
31. S. G. Saddoughi and S. V. Veeravalli, "Local isotropy in turbulent boundary layers at high Reynolds number," J. Fluid Mech. 268, 333 (1994).
32. K. R. Sreenivasan and P. Kailasnath, "An update on the intermittency exponent in turbulence," Phys. Fluids A 5, 512 (1993).