Micro-structure and Lagrangian statistics of the scalar field with a mean gradient in isotropic turbulence

Journal of Fluid Mechanics

Volumn 474, Issue , 2003, Pages 193-225

  Brethouwer, G ^a   Hunt, J C R ^a,b   Nieuwstadt, F T M ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; KINEMATICS; MICROSTRUCTURE; REYNOLDS NUMBER; STATISTICAL METHODS; STRAIN RATE;

ISOTROPIC TURBULENCE;

TURBULENCE;

ISOTROPIC MEDIUM; LAGRANGIAN ANALYSIS; MICROSTRUCTURE; TURBULENCE;

EID: 0037428302     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112002002549     Document Type: Article

References (70)

1. ASHURST, W. T., KERSTEIN, A. R., KERR, R. M. & GIBSON, C. H. 1987 Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence. Phys. Fluids 30, 2343-2353.
2. BALACHANDAR, S. & MAXEY, M. R. 1989 Methods for evaluating fluid velocities in spectral simulations of turbulence. J. Comput. Phys. 83, 96-125.
3. BATCHELOR, G. K. 1952 Diffusion in a field of homogeneous turbulence. II. The relative motion of particles. Proc. Camb. Phil. Soc. 48, 345-362.
4. BATCHELOR, G. K. 1959 Small scale variation of convected quantities like temperature in a turbulent fluid. J. Fluid Mech. 5, 113-133.
5. BATCHELOR, G. K., HOWELLS, I. D. & TOWNSEND, A. A. 1959 Small scale variation of convected quantities like temperature in a turbulent fluid. Part 2. The case of large conductivity. J. Fluid Mech. 5, 134-139.
6. BATCHELOR, G. K. & TOWNSEND, A. A. 1956 Turbulent diffusion. In Surveys in Mechanics (ed. G. K. Batchelor & R. M. Davies), pp. 352-399. Cambridge University Press.
7. BETCHOV, R. 1956 An inequality concerning the production of vorticity in isotropic turbulence. J. Fluid Mech. 1, 497-504.
8. BLACKBURN, H. M., MANSOUR, N. N. & CANTWELL, B. J. 1996 Topology of fine-scale motions in turbulent channel flow. J. Fluid Mech. 310, 269-292.
9. BOGUCKI, D., DOMARADZKI, J. A. & YEUNG, P. K. 1997 Direct numerical simulations of passive scalars with Pr > 1 advected by turbulent flow. J. Fluid Mech. 343, 111-130
10. BORGAS, M. S. & SAWFORD, B. L. 1996 Molecular diffusion and viscous effects on concentration statistics in grid turbulence. J. Fluid Mech. 324, 25-54.
11. BRETHOUWER, G. 2000 Mixing of passive and reactive scalars in turbulent flows: a numerical study. PhD thesis, Delft University of Technology, The Netherlands.
12. BRETHOUWER, G. & NIEUWSTADT, F. T. M. 1999 Mixing of weakly and strongly diffusive passive scalars in isotropic turbulence. In Direct and Large-Eddy Simulation III, Proc. Isaac Newton Institute Symposium/ERCOFTAC Workshop (ed. P. R. Voke, N. D. Sandham & L. Kleiser), pp. 311-322. Kluwer.
13. BUCH, K. A. & DAHM, W. J. A. 1996 Experimental study of the fine-scale structure of conserved scalar mixing in turbulent shear flows. Part 1. Sc ≫ 1. J. Fluid Mech. 317, 21-71.
14. BUCH, K. A. & DAHM, W. J. A. 1998 Experimental study of the fine-scale structure of conserved scalar mixing in turbulent shear flows. Part 2. Sc ≈ 1. J. Fluid Mech. 364, 1-29.
15. CANUTO, C., HUSSAINI, M. Y., QUARTERONI, A. & ZANG, T. A. 1988 Spectral Methods in Fluid Dynamics, Springer.
16. CHONG, M. S., SORIA, J., PERRY, A. E., CHACIN, J., CANTWELL, B. J. & NA, Y. 1998 Turbulence structures of wall-bounded shear flows using DNS data. J. Fluid Mech. 357, 225-247.
17. CORRSIN, S. 1953 Remarks on turbulent heat transfer: an account of some features of the phenomenon in fully turbulent regions. In Proc. Iowa Thermodynamics Symposium, pp. 5-30. State University of Iowa.
18. DEBUSSCHE, A., DUBOIS, T. & TEMAM, R. 1995 The nonlinear Galerkin method. Theoret. Comput. Fluid Dyn. 7, 279-315.
19. VAN DOP, H. 2001 The evaluation of a Lagrangian model for turbulent transport and chemistry. Phys. Fluids 13, 1331-1342.
20. DRESSELHAUS, E. & TABOR, M. 1991 The kinematics of stretching and alignment of material elements in general flow fields. J. Fluid Mech. 236, 415-444.
21. DURBIN, P. A. 1980 A stochastic model of two-particle dispersion and concentration fluctuations in homogeneous turbulence. J. Fluid Mech. 100, 279-302.
22. ESWARAN, V. & POPE, S. B. 1988 An examination of forcing in direct numerical simulations of turbulence. Comput. Fluids 16, 257-278.
23. FRISCH, U. 1995 Turbulence: the Legacy of A. N. Kolmogorov. Cambridge University Press.
24. FUNG, J. C. H., HUNT, J. C. R., MALIK, N. A. & PERKINS, R. J. 1992 Kinematic simulation of homogeneous turbulence by unsteady random Fourier modes. J. Fluid Mech. 236, 281-318.
25. FUNG, J. C. H. & VASSILICOS, J. C. 1998 Two-particle dispersion in turbulentlike flows. Phys. Rev. E 57, 1677-1690.
26. GIBSON, C. H., ASHURST, W. T. & KERSTEIN, A. R. 1988 Mixing of strongly diffusive passive scalars like temperature by turbulence. J. Fluid Mech. 194, 261-293.
27. GIRIMAJI, S. S. & POPE, S. B. 1990 Material-element deformation in isotropic turbulence. J. Fluid Mech. 220, 427-458.
28. GONZALEZ, M. 2000 Study of the anisotropy of a passive scalar field at the level of dissipation. Phys. Fluids 12, 2302-2310.
29. HOLZER, M. & SIGGIA, E. D. 1994 Turbulent mixing of a passive scalar. Phys. Fluids 6, 1820-1837.
30. HUNT, J. C. R., KAIMAL, J. C. & GAYNOR, J. E. 1988 Eddy structure in the convective boundary layer: new measurements and concepts. Q. J. R. Met. Soc. 114, 821-858.
31. JIMÉNEZ, J., WRAY, A. A., SAFFMANN, P. G. & ROGALLO R. S. 1993 The structure of intense vorticity in isotropic turbulence. J. Fluid Mech. 255, 65-90.
32. JULLIEN, M.-C., PARET, J. & TABELING, P. 1999 Richardson pair dispersion in two-dimensional turbulence. Phys. Rev. Lett. 82, 2872-2875.
33. KERR, R. M. 1985 Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence. J. Fluid Mech. 153, 31-58.
34. KERSTEIN, A. R. 2001 Kinematics of small scale anisotropy in turbulence. Phys. Rev. E 64, 036306.
35. KEVLAHAN, N. K.-R. & HUNT, J. C. R. 1997 Nonlinear interactions in turbulence with strong irrotational straining. J. Fluid Mech. 337, 333-364.
36. KOMORI, S., HUNT, J. C. R., KANZAKI, T. & MURAKAMI, Y. 1991 The effects of turbulent mixing on the correlation between two species and on concentration fluctuations in non-premixed reacting flows. J. Fluid Mech. 228, 629-659.
37. KRAICHNAN, R. H. 1974 Convection of a passive scalar by a quasi-uniform random straining field. J. Fluid Mech. 64, 737-762.
38. KURIEN, S., AIVALIS, K. G. & SREENIVASAN, K. R. 2001 Anisotropy of small-scale scalar turbulence. J. Fluid Mech. 448, 279-288.
39. MÉTAIS, O. & LESIEUR, M. 1992 Spectral large-eddy simulation of isotropic and stably stratified turbulence. J. Fluid Mech. 239, 157-194.
40. MOISY, F., WILLAIME, H., ANDERSEN, J. S. & TABELING, P. 2001 Passive scalar intermittency in low temperature helium flows. Phys. Rev. Lett. 86, 4827-4830.
41. MONIN, A. S. & YAGLOM, A. M. 1975 Statistical Fluid Mechanics, vol. II (ed. J. L. Lumley). MIT Press.
42. MYDLARSKI, L. & WARHAFT, Z. 1998 Passive scalar statistics in high-Péclet-number grid turbulence. J. Fluid Mech. 358, 135-175.
43. NOMURA, K. K. & ELGHOBASHI, S. E. 1992 Mixing characteristics of an inhomogeneous scalar in isotropic and sheared turbulence. Phys. Fluids A 4, 606-625.
44. OHKITANI, K. 1998 Stretching of vorticity and passive vectors in isotropic turbulence. J. Phys. Soc. Japan 67, 3668-3671.
45. OOI, A., MARTIN, J., SORIA, J. & CHONG, M. S. 1999 A study of the evolution and characteristics of the invariants of the velocity-gradient tensor in isotropic turbulence. J. Fluid Mech. 381, 141-174.
46. ORLANDI, P. & ANTONIA, R. A. 2002 Dependence of the non-stationary form of Yaglom's equation on the Schmidt number. J. Fluid Mech. 451, 99-108.
47. OVERHOLT, M. R. & POPE, S. B. 1996 Direct numerical simulation of a passive scalar with imposed mean gradient in isotropic turbulence. Phys. Fluids 8, 3128-3148.
48. PASSOT, T., POLITANO, H., SULEM, P. L., ANGILELLA, J. R. & MENEGUZZI, M. 1995 Instability of strained vortex layers and vortex tube formation in homogeneous turbulence. J. Fluid Mech. 282, 313-338.
49. PUMIR, A. 1994 A numerical study of the mixing of a passive scalar in three dimensions in the presence of a mean gradient. Phys. Fluids 6, 2118-2132.
50. RICHARDSON, L. F. 1926 Atmospheric diffusion shown on a distance-neighbour graph. Proc. R. Soc. Lond. A 110, 709-737.
51. RUETSCH, G. R. & MAXEY, M. R. 1991 Small-scale features of vorticity and passive scalar fields in homogeneous isotropic turbulence. Phys. Fluids A 3, 1587-1597.
52. RUETSCH, G. R. & MAXEY, M. R. 1992 The evolution of small-scale structures in homogeneous isotropic turbulence. Phys. Fluids A 4, 2747-2760.
53. SAWFORD, B. L. 2001 Turbulent relative dispersion. Annu. Rev. Fluid Mech. 33, 289-317.
54. SAWFORD, B. L. & HUNT, J. C. R. 1986 Effects of turbulence structure, molecular diffusion and source size on scalar fluctuations in homogeneous turbulence. J. Fluid Mech. 165, 373-400.
55. SHRAIMAN, B. I. & SIGGIA, E. D. 2000 Scalar turbulence. Nature 405, 639-646.
56. SORIA, J., SONDERGAARD, R., CANTWELL, B. J., CHONG, M. S. & PERRY, A. E. 1994 A study of fine-scale motions of incompressible time-developing mixing layers. Phys. Fluids 6, 871-884.
57. SREENIVASAN, K. R. & ANTONIA, R. A. 1997 The phenomenology of small-scale turbulence. Annu. Rev. Fluid Mech. 29, 435-472.
58. SQUIRES, K. D. & EATON, J. K. 1991 Measurements of particle dispersion obtained form direct numerical simulations of isotropic turbulence. J. Fluid Mech. 226, 1-35.
59. TAYLOR, G. I. 1921 Diffusion by continuous movements. Proc. Lond. Math. Soc. 20, 196-211.
60. TENNEKES, H. & LUMLEY, J. L. 1972 A First Course in Turbulence. MIT Press.
61. THOMSON, D. J. 1990 A stochastic model for the motion of particle pairs in isotropic high-Reynolds-number turbulence, and its application to the problem of concentration variance. J. Fluid Mech. 210, 113-153.
62. TONG, C. & WARHAFT, Z. 1994 On passive scalar derivative statistics in grid turbulence. Phys. Fluids 6, 2165-2176.
63. TSINOBER, A. 2000 Vortex stretching versus production of strain/dissipation. In Vortex Dynamics and Turbulence Structure (ed. J. C. R. Hunt & J. C. Vassilicos). Cambridge University Press.
64. TSINOBER, A., ORTENBERG, M. & SHTILMAN, L. 1999 On depression of nonlinearity in turbulence. Phys. Fluids 11, 2291-2297.
65. VEDULA, P., YEUNG, P. K. & FOX, R. O. 2001 Dynamics of scalar dissipation in isotropic turbulence: a numerical and modelling study. J. Fluid Mech. 433, 29-60.
66. VINCENT, A. & MENEGUZZI, M. 1994 The dynamics of vorticity tubes in homogeneous turbulence. J. Fluid Mech. 258, 245-254.
67. WARHAFT, Z. 2000 Passive scalars in turbulent flows. Annu. Rev. Fluid Mech. 32, 203-240.
68. YEUNG, P. K. 2001 Lagrangian characteristics of turbulence and scalar transport in direct numerical simulations. J. Fluid Mech. 427, 241-274.
69. YEUNG, P. K. & POPE, S. B. 1989 Lagrangian statistics from direct numerical simulations of isotropic turbulence. J. Fluid Mech. 207, 531-586.
70. ZHOU, T. & ANTONIA, R. A. 2000 Approximations for turbulent kinetic energy and temperature variance dissipation rates in grid turbulence. Phys. Fluids 12, 335-344.