Hierarchical structures in a turbulent free shear flow

Journal of Fluid Mechanics

Volumn 569, Issue , 2006, Pages 259-286

  Jiang, Xiao Qin ^a,b   Gong, Hao ^a   Liu, Jian Kun ^a,d   Zhou, Ming De ^a,c   She, Zhen Su ^a,d  

^a PEKING UNIVERSITY   (China)

^b NAVAL UNIVERSITY OF ENGINEERING   (China)

^c University of Arizona   (United States)

^d UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PROBABILITY DENSITY FUNCTION; SHEAR FLOW; STATISTICAL METHODS; STREAM FLOW; TURBULENT FLOW; VORTEX FLOW;

HIERARCHICAL STRUCTURES; STREAMWISE VORTICES; TURBULENT FREE SHEAR FLOW; VELOCITY STRUCTURE FUNCTIONS;

FLUID STRUCTURE INTERACTION;

FLUID STRUCTURE INTERACTION; PROBABILITY DENSITY FUNCTION; SHEAR FLOW; STATISTICAL METHODS; STREAM FLOW; TURBULENT FLOW; VORTEX FLOW;

PROBABILITY DENSITY FUNCTION; SHEAR FLOW; TURBULENT FLOW; VELOCITY STRUCTURE;

EID: 33751061270     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006002801     Document Type: Article

References (63)

1. Adrian, R. J., Meinhart, C. D. & Tomkins, C. D. 2000 Vortex organization in the outer region of the turbulent boundary layer. J. Fluid Mech. 422, 1-54.
2. Arimitsu, T. & Arimitsu, N. 2002 PDA of velocity fluctuation in turbulence by a statistics based on generalized entropy. Physica A 305, 218-226.
3. Baroud, C., Plapp, B., Swinney, H. L. & She, Z.-S. 2003 Scaling in three-dimensional and quasi-two-dimensional rotating turbulent flows. Phys. Fluids 15, 2091-2104.
4. Benzi, R., Ciliberto, S., Tripiccione, R., Baudet, C., Massaioli, F. & Succi, S. 1993 Extended self-similarity in turbulence flows. Phys. Rev. E 48, R29-R32.
5. Benzi, R., Biferale, L., Ciliberto, S., Struglia, M. V. & Tripiccione, R. 1996 Scaling property of turbulence flows. Phys. Rev. E 53, R3025-R3027.
6. Bi, W. & Wei, Q. 2003 Scaling of longitudinal and transverse structure functions in cylinder wake turbulence. J. Turbulence 4, 028.
7. Biferale, L., Lohse, D., Mazzitelli, I. M. & Toschi, F. 2002 Probing structures in channel flow through SO(3) and SO(2) decomposition. J. Fluid Mech. 452, 39-59.
8. Biferale, L., Calzavarini, E., Lanotte, A. S., Toschi, F. & Tripiccione, R. 2004 Universality of anisotropic turbulence. Physica A 338, 194-200.
9. Boratav, O. N. 1997 On longitudinal and lateral moment hierarchy in turbulence. Phys. Fluids 9, 3120-3122.
10. Boratav, O. N. & Pelz, R. B. 1997 Structures and structure functions in the inertial range of turbulence. Phys. Fluids 9, 1400-1415.
11. Camussi, R. & Benzi, R. 1997 Hierarchy of transverse structure functions. Phys. Fluids 9, 257-259.
12. Cantwell, B. J. 1981 Organized motion in turbulent flow. Annu. Rev. Fluid Mech. 13, 437-515.
13. Cao, N., Chen, S. & She, Z.-S. 1996 Scalings and relative scalings in the Navier-Stokes turbulence. Phys. Rev. Lett. 76, 3711-3714.
14. Casciola, C. M., Benzi, R., Gualtieri, P., Jacob, B. & Piva, R. 2001 Double scaling and intermittency in shear dominated flows. Phys. Rev. E 65, 015301.
15. Casciola, C. M., Gualtieri, P., Benzi, R. & Piva, R. 2003 Scale-by-scale budget and similarity laws for shear turbulence. J. Fluid Mech. 476, 105-114.
16. Champagne, F. H., Harris, V. G. & Corrsin, S. 1970 Experiments on nearly homogeneous turbulent shear flow. J. Fluid Mech. 41, 81-139.
17. Chen, S., Sreenivasan, K. R., Nelkin, M. & Cao, N. 1997 Refined similarity hypothesis for transverse structure functions in fluid turbulence. Phys. Rev. Lett. 79, 2253-2256.
18. Chen, Q., Chen, S., Eyink, G. L. & Holm, D. D. 2003 Intermittency in the joint cascade of energy and helicity. Phys. Rev. Lett. 90, 214503.
19. Ching, E. S. C. & Kwok, C. Y. 2000 Statistics of local temperature dissipation in high Rayleigh number convection. Phys. Rev. E 62, R7587-R7590.
20. Ching, E. S. C., Leung, C. K., Qiu, X. L. & Tong, P. 2003 Intermittency of velocity fluctuations in turbulent thermal convection. Phys. Rev. E 68, 026307.
21. Dhruva, B., Tsuji, Y. & Sreenivasan, K. R. 1997 Transverse structure functions in high-Reynolds-number turbulence. Phys. Rev. E 56, R4928-R4930.
22. Frisch, U. 1995 Turbulence: The Legacy of A. N. Kolmogorov. Cambridge University Press.
23. Fujisaka, H., Nakayama, Y., Watanabe, T. & Grossmann, S. 2002 Scaling hypothesis leading to generalized extended self-similarity in turbulence. Phys. Rev. E 65, 046307.
24. Gotoh, T., Fukayama, D. & Nakano, T. 2002 Velocity field statistics in homogeneous steady turbulence obtained using a high-resolution direct numerical simulation. Phys. Fluids 14, 1065-1081.
25. Grossmann, S., Lohse, D. & Reeh, A. 1997 Different intermittency for longitudinal and transversal turbulent fluctuations. Phys. Fluids 9, 3817-3825.
26. Gualtieri, P., Casciola, C. M., Benzi, R., Amati, G. & Piva, R. 2002 Scaling laws and intermittency in homogeneous shear flow. Phys. Fluids 14, 583-596.
27. Guo, H. Y., Li, L., Ouyang, Q., Liu, J. & She, Z.-S. 2003 A systematic study of spirals and spiral turbulence in a reaction-diffusion system. J. Chem. Phys. 118, 5038-5044.
28. Jacob, B., Biferale, L., Iuso, G. & Casciola, C. M. 2004 Anisotropic fluctuations in turbulent shear flows. Phys. Fluids 16(11), 4135-4142.
29. Kida, S. & Tanaka, M. 1994 Dynamics of vortical structures in a homogeneous shear flow. J. Fluid Mech. 274, 43-68.
30. Kolmogorov, A. N. 1941 The local structure of turbulence in imcompressible visous fluid for very large Reynolds number. C. R. Acad. Sci. URSS 30, 301-305. (Reprinted in Proc. R. Soc. Lond. A 434, 9-13, 1991.
31. Lee, M. J., Kim, J. & Moin, P. 1990 Structure of turbulence at high shear rate. J. Fluid Mech. 216, 561-583.
32. L'evêque, E., Ruiz-Chavarria, G., Baudet, C. & Ciliberto, S. 1999 Scaling laws for the turbulent mixing of a passive scalar in the wake of a cylinder. Phys. Fluids. 11, 1869-1879.
33. Liu, L. & She, Z.-S. 2003 Hierarchical structure description of intermittent structures of turbulence. Fluid Dyn. Res. 33, 261-286.
34. Liu, J., She, Z.-S., Ouyang, Q. & He, X. T. 2003 Hierarchical structures in spatially extended systems. Intl J. Mod. Phys. B 17, 4139-4148.
35. Liu, J., She, Z.-S., Guo, H. Y., Li, L. & Ouyang, Q. 2004 Hierarchical structure description of spatiotemporal chaos. Phys. Rev. E 70, 036215.
36. Mandelbrot, B. B. 1974 Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier. J. Fluid Mech. 62, 331-358.
37. Melander, M. V. & Hussain, F. 1993 Coupling between a coherent structure and fine-scale turbulence. Phys. Rev. E 48, 2669-2689.
38. Mydlarski, L. & Warhaft, Z. 1996 On the onset of high-Reynolds-number grid-generated wind tunnel turbulence. J. Fluid Mech. 320, 331-368.
39. Ouyang, Z. & She, Z.-S. 2004 Scaling and hierarchical structures in DNA Sequences. Phys. Rev. Lett. 93, 078103.
40. Pumir, A. 1996 Turbulence in homogeneous shear flows. Phys. Fluids 8, 3114-3127.
41. Pumir, A. & Shraiman, B. I. 1995 Persistent small scale anisotropy in homogeneous shear flows. Phys. Rev. Lett. 75, 3114-3117.
42. Queiros-Conde, D. 1997 Geometrical extended self-similarity and intermittency in diffuson-limited aggregates. Phys. Rev. Lett. 78, 4426-4429.
43. Robinson, S. K. 1991 Coherent motions in the turbulent boundary layer. Annu. Rev. Fluid Mech. 23, 601-639.
44. Rogers, M. M. & Moin, P. 1987 The structure of the vorticity field in homogeneous turbulent flows. J. Fluid Mech. 176, 33-66.
45. Ruiz-Chavarria, G., Baudet, C. & Ciliberto, S. 1994 Hierarchy of the energy dissipation moments in fully developed turbulence. Phys. Rev. Lett. 74, 1986-1989.
46. Ruiz-Chavarria, G., Ciliberto, S., Baudet, C. & L'evêque, E. 2000 Scaling properties of the streamwise component of velocity in a turbulent boundary layer. Physica D 141, 183-198.
47. Saddoughi, S. G. & Veeravalli, S. V. 1994 Local isotropy in trubulent boundary layers at high Reynolds number. J. Fluid Mech. 268, 333-372.
48. She, Z.-S. 1991 Intermittency and non-Gaussian statistics in turbulence. Fluid Dyn. Res. 8, 143-158.
49. She, Z.-S. 1998 Universal laws of cascade of turbulent fluctuations. Prog. Theor. Phys. Suppl. 130, 87-102.
50. She, Z.-S. & L'evêque, E. 1994 Universal scaling laws in fully developed turbulence. Phys. Rev. Lett. 72, 336-339.
51. She, Z.-S. & Liu, L. 2003 Measuring intermittency parameters of energy cascade in turbulence. Acta Mech. Sinica 19, 453-457.
52. She, Z.-S., Aurell, E. & Frisch, U. 1992 The inviscid Burgers-equation with initial data of Brownian type. Commun. Math. Phys. 148, 623-641.
53. She, Z.-S., Ren, K., Lewis, G. S. & Swinney, H. L. 2001 Scalings and structures in turbulent Couette-Taylor flow. Phys. Rev. E 64, 016308.
54. She, Z.-S., Fu, Z.-T., Chen, J., Liang, S. & Liu, S.-D. 2002 Hierarchical structures in climate and atmospheric turbulence. Prog. Nat. Sci. 12, 747-752.
55. Shen, X. & Warhaft, Z. 2002 Longitudinal and transverse structure functions in sheared and unsheared windtunnel turbulence. Phys. Fluids 14, 370-381.
56. Sreenivasan, K. R. 1991 Fractals and multifractals in fluid turbulence. Annu. Rev. Fluid Mech. 23, 539-600.
57. Sreenivasan, K. R. 1996 The passive scalar spectrum and the Obukhov-Corrsin constant. Phys. Fluids 8, 189-196.
58. Sreenivasan, K. R. & Antonia, R. A. 1997 The phenomenology of small-scale turbulence. Annu. Rev. Fluid Mech. 29, 435-472.
59. Tavoularis, S. & Corrsin, S. 1981 Experiments in nearly homogeneous turbulent shear flow with a uniform mean temperature gradient. J. Fluid Mech. 104, 311-367.
60. Toschi, F., Amati, C., Succi, S., Benzi, R. & Piva, R. 1999 Intermittency and structure functions in channel flow turbulence. Phys. Rev. Lett. 82, 5044-5047.
61. Toschi, F., L'evêque, E. & Ruiz-Chavarria, G. 2001 Shear effects in nonhomogeneous turbulence. Phys. Rev. Lett. 85, 1436-1439.
62. Turiel, A., Mato, G., Parga, N. & Nadal, J.-P. 1998 Self-similarity properties of natural images resemble those of turbulence. Phys. Rev. Lett. 80, 1098-1101.
63. Zhou, M. D., Heine, C. & Wygnanski, I. 1996 The effects of excitation on the coherent and random motion in a plane wall jet. J. Fluid Mech. 310, 1-37.