Simple model for turbulence intermittencies based on self-avoiding random vortex stretching

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 81, Issue 5, 2010, Pages

  Rimbert, Nicolas ^a  

^a NANCY UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FITTING PARAMETERS; HOMOGENEOUS AND ISOTROPIC TURBULENCE; KOLMOGOROV LENGTHS; LARGE EDDY; LENGTH SCALE; LINEAR POLYMERS; POLYMER PHYSICS; SELF AVOIDING WALK; SIMPLE MODEL; STABILITY INDICES; VORTEX STRETCHING; VORTEX TUBE;

REYNOLDS NUMBER; TURBULENCE; VORTEX FLOW;

PROBABILITY DENSITY FUNCTION;

EID: 77953093617     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.056315     Document Type: Article

References (50)

1. U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, England, 1995).
2. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 31, 99 (1941).
3. A. N. Kolmogorov, J. Fluid Mech. 13, 82 (1962). 10.1017/S0022112062000518
4. A. M. Oboukhov, J. Fluid Mech. 13, 77 (1962). 10.1017/S0022112062000506
5. E. A. Novikov and R. W. Stewart, Izv. Akad. Nauk. Ser. Geophys. 3, 408 (1964).
6. A. M. Yaglom, Dokl. Akad. Nauk SSSR 166, 49 (1966).
7. C. G. Evertz and B. Mandelbrot, Chaos and Fractals: New Frontiers of Science (Springer, New York, 1992), Appendix B.
8. M. Farge, Annu. Rev. Fluid Mech. 24, 395 (1992). 10.1146/annurev.fl.24. 010192.002143
9. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1977).
10. S. Kida, J. Phys. Soc. Jpn. 60, 5 (1991). 10.1143/JPSJ.60.5
11. S. Kida, Fluid Dyn. Res. 8, 135 (1991). 10.1016/0169-5983(91)90037-J
12. D. Schertzer and S. Lovejoy, J. Geophys. Res. 92, 9693 (1987). 10.1029/JD092iD08p09693
13. A. J. Chorin, Vorticity and Turbulence (Springer, New York, 1994).
14. K. Kuo, Principles of Combustion, 1st ed. (Wiley Interscience, New York, 1986).
15. H. Tennekes, Phys. Fluids 11, 669 (1968). 10.1063/1.1691966
16. H. Lamb, Hydrodynamics (Cambridge University Press, Cambridge, England, 1932).
17. J. P. Vanyo, Rotating Fluids in Engineering and Science (Butterworth-Heinemann, Stoneham, MA, 1993) (reprinted by Dover, Mineola, NY, 2001).
18. P. Ludwik, Elemente der Technologischen Mechanik, Applied Mechanics (Springer Verlag, Berlin, 1909).
19. H. Hencky, Z. Tech. Phys. (Leipzig) 9, 215 (1928).
20. C. Truesdell and R. Toupin, in The Classical Field Theories, edited by, S. Flugge, Encyclopedia of Physics Vol. III/1 (Springer-Verlag, Berlin, 1960), pp. 226-793.
21. M. Van Dyke, An Album of Fluid Motion (Parabolic, Stanford, CA, 1982).
22. P. G. De Gennes, Scaling Concept in Polymer Physics (Cornell University Press, Ithaca, NY, 1979).
23. A. Sokal, in Monte Carlo and Molecular Dynamics Simulations in Polymer Science, edited by, Kurt Binder, (Oxford University Press, New York, 1995).
24. W. Feller, An Introduction to Probability Theory and Its Applications (Wiley, New York, 1966), Vol. II.
25. E. A. Novikov, Phys. Rev. E 50, R3303 (1994). 10.1103/PhysRevE.50.R3303
26. R. W. Stewart, J. R. Wilson, and R. W. Burling, J. Fluid Mech. 41, 141 (1970). 10.1017/S002211207000054X
27. N. Rimbert and O. Séro-Guillaume, Phys. Rev. E 69, 056316 (2004). 10.1103/PhysRevE.69.056316
28. F. Anselmet, Y. Gagne, E. J. Hopfinger, and R. A. Antonia, J. Fluid Mech. 140, 63 (1984). 10.1017/S0022112084000513
29. D. Schertzer, S. Lovejoy, F. Schmitt, Y. Chigirinskaya, and D. Marsan, Fractals 5, 427 (1997). 10.1142/S0218348X97000371
30. N. Rimbert and O. Séro-Guillaume, C. R. Mec. 331, 775 (2003). 10.1016/S1631-0721(03)00143-8
31. L. Chevillard, B. Castaing, and E. Lévêque, Eur. Phys. J. B 45, 561 (2005). 10.1140/epjb/e2005-00214-4
32. J. M. Burgers, Adv. Appl. Mech. 1, 171 (1948). 10.1016/S0065-2156(08) 70100-5
33. N. Hatakeyama and T. Kambe, Phys. Rev. Lett. 79, 1257 (1997). 10.1103/PhysRevLett.79.1257
34. J. V. Beck and K. J. Arnold, Parameter Estimation in Engineering and Science (Wiley, New York, 1977).
35. R. M. Kerr, J. Fluid Mech. 153, 31 (1985). 10.1017/S0022112085001136
36. F. Belin, J. Maurer, P. Tabeling, and H. Willaime, Phys. Fluids 9, 3843 (1997). 10.1063/1.869484
37. H. Tennekes and J. L. Lumley, A First Course in Turbulence (MIT, Cambridge, MA, 1972).
38. R. A. Antonia, A. J. Chambers, and B. R. Satyaprakash, Boundary-Layer Meteorol. 21, 159 (1981). 10.1007/BF02033934
39. A. Gylfason, S. Ayyalasomayajula, and Z. Warhaft, J. Fluid Mech. 501, 213 (2004). 10.1017/S002211200300747X
40. T. Ishihara, Y. Kaneda, M. Yokokawa, J. K. Itakura, and A. Uno, J. Fluid Mech. 592, 335 (2007). 10.1017/S0022112007008531
41. G. Samorodnitsky and M. Taqqu, Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance (Chapman & Hall, London, 2000).
42. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics (MIT, Cambridge, MA, 1975), Vol. 2.
43. S. O. Rice, Bell Syst. Tech. J. 23, 282 (1944).
44. S. O. Rice, Bell Syst. Tech. J. 24, 46 (1945).
45. H. W. Liepmann, Helv. Phys. Acta 22, 119 (1949).
46. H. W. Liepman and M. S. Robinson, NACA Report No. TN 3037, 1952.
47. K. R. Sreenivasan, A. Prabhu, and R. Narasimha, J. Fluid Mech. 137, 251 (1983). 10.1017/S0022112083002396
48. N. Mazellier and J. C. Vassilicos, Phys. Fluids 20, 015101 (2008). 10.1063/1.2832778
49. G. Comte-Bellot and S. Corrsin, J. Fluid Mech. 25, 657 (1965). 10.1017/S0022112066000338
50. P. Tabeling and H. Willaime, Phys. Rev. E 65, 066301 (2002). 10.1103/PhysRevE.65.066301