The approach to self-preservation of scalar fluctuations decay in isotropic turbulence

Physics of Fluids

Volumn 10, Issue 3, 1998, Pages 654-661

  Gonzalez, M ^a   Fall, A ^a  

^a UNIVERSITÉ DE ROUEN   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PHASE EQUILIBRIA; REYNOLDS NUMBER; TEMPERATURE; TRANSPORT PROPERTIES;

FIXED POINT ANALYSIS; ISOTROPIC SCALAR FLUCTUATIONS DECAY; ISOTROPIC TURBULENCE; KARMAN-HOWARTH EQUATION; PECLET NUMBER;

TURBULENCE;

EID: 0032026426     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869591     Document Type: Article

References (38)

1. V. Eswaran and S. B. Pope, "Direct numerical simulations of the turbulent mixing of a passive scalar," Phys. Fluids 31, 506 (1988).
2. V. Eswaran and E. E. O'Brien, "Simulations of scalar mixing in grid turbulence using an eddy-damped closure model." Phys. Fluids A 1, 537 (1989).
3. J. Lewalle, "Decay of velocity and temperature fluctuations in gridturbulence," AIAA J. 28, 106 (1990).
4. O. Métais and M. Lesieur, "Spectral large-eddy simulation of isotropic and stably stratified turbulence," J. Fluid Mech. 239, 157 (1992).
5. J. B. Chasnov, "Similarity states of passive scalar transport in isotropic turbulence, Phys. Fluids A 6, 1036 (1994).
6. S. Corrsin, "The decay of isotropic temperature fluctuations in an isotropic turbulence," J. Aeronaut. Sci. 18, 417 (1951).
7. T. T. Yen and C. W. Van Atta, "Spectral transfer of scalar and velocity fields in heated-grid turbulence," J. Fluid Mech. 58, 233 (1973).
8. Z. Warhaft and J. L. Lumley. "An experimental study of the decay of temperature fluctuations in grid-generated turbulence." J. Fluid Mech. 88, 659 (1978).
9. K. R. Sreenivasan, S. Tavoularis, R. Henry, and S. Corrsin, "Temperature fluctuations and scales in grid-generated turbulence," J. Fluid Mech. 100, 597 (1980).
10. M. Larchevêque, J. P. Chollet, J. R. Herring, M. Lesieur, G. R. Newman, and D. Schertzer, "Two-point closure applied to a passive scalar in decaying isotropic turbulence," in Turbulent Shear Flows 2, edited by L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt, and J. H. Whitelaw (Springer, Berlin, 1980).
11. M. Nelkin and R. M. Kerr, "Decay of scalar variance in terms of a modified Richardson law for pair-dispersion," Phys. Fluids 24, 1754 (1981).
12. P. A. Durbin, "Analysis of the decay of temperature fluctuations in isotropic turbulence," Phys. Fluids 25, 1328 (1982).
13. M. Lesieur, C. Montmory. and J. P. Chollet, "The decay of kinetic energy and temperature variance in three-dimensional isotropic turbulence," Phys. Fluids 30, 1278 (1987).
14. B. A. Kolovandin, N. N. Luchko, and O. G. Martynenko, "Modelling of homogeneous turbulent scalar field." Third Symposium on Turbulent Shear Flows, University of California, Davis. CA. 1981.
15. C. G. Speziale and P. S. Bernard, "The energy decay in self-preserving isotropic turbulence revisited," J. Fluid Mech. 241, 645 (1992).
16. G. K. Batchelor, "Energy decay and self-preserving correlation function in isotropic turbulence," Q. Appl. Math. 6, 97 (1948).
17. I. Proudman and W. H. Reid, "On the decay of a normally distributed and homogeneous velocity field," Proc. R. Soc. London, Ser. A 247, 163 (1954).
18. G. K. Batchelor and I. Proudman, "The large-scale structure of homoge-neous turbulence," Philos. Trans. R. Soc. London, Ser. A 248, 369 (1956).
19. P. G. Saffman, "The large scale structure of homogeneous turbulence," J. Fluid Mech. 27, 581 (1967).
20. O. Hinze, Turbulence, 2nd ed. (McGraw-Hill, New York, 1975).
21. M. Lesieur and D. Schertzer, "Amortissement autosimilaire d'une turbulence à grand nombre de Reynolds," J. Méc. 17, 609 (1978).
22. A. L. Kistler and T. Vrebalovitch, "Grid turbulence at large Reynolds number," J. Fluid Mech. 26, 37 (1966).
23. M. D. Walker, "Laser Doppler measurements of grid-turbulence in a box," Ph.D. thesis, The Johns Hopkins University, 1986.
24. G. Comte-Bellot and S. Corrsin, "The use of a contraction to improve the isotropy of grid-generated turbulence," J. Fluid Mech. 25, 657 (1966).
25. M. S. Mohamed and J. C. La Rue, "The decay power law in gridgenerated turbulence," J. Fluid Mech. 219, 195 (1990).
26. W. K. George, "The decay of homogeneous isotropic turbulence," Phys. Fluids A 4, 1492 (1992).
27. W. K. George, "Self-preservation of temperature fluctuations in isotropic turbulence," in Studies in Turbulence (Springer, Berlin, 1992).
28. S. C. Ling and T. T. Huang, "Decay of weak turbulence," Phys. Fluids 13, 2912 (1970).
29. S. C. Ling and C. A. Wan, "Decay of isotropic turbulence generated by a mechanically agitated grid," Phys. Fluids 15, 1363 (1972).
30. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics: Mechanics of Turbulence, Vol. 2 (MIT Press, Cambridge, MA, 1975).
31. M. Lesieur, Turbulence in Fluids: Stochastic and Numerical Modelling, 2nd ed. (Kluwer Academic, Dordrecht, 1990).
32. R. H. Kraichnan, "Eddy viscosity in two and three dimensions," J. Atmos. Sci. 33, 1521 (1976).
33. B. A. Kolovandin and I. A. Vatutin, "Statistical transfer theory in nonhomogeneous turbulence," Int. J. Heat Mass Transfer 15, 2371 (1972).
34. J. R. Hill, "Models of the scalar spectrum for turbulent advection," J. Fluid Mech. 88, 541 (1978).
35. R. M. Kerr, "Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence," J. Fluid Mech. 153, 31 (1985).
36. L. Mydlarski and Z. Warhaft, "On the onset of high Reynolds number grid-generated wind tunnel turbulence," J. Fluid Mech. 320, 331 (1996).
37. L. Wang. S. Chen, J. G. Brasseur, and J. C. Wyngaard, "Examination of hypotheses in the Kolmogorov refined turbulence theory through high-resolution simulations. Part 1. Velocity field," J. Fluid Mech. 309, 113 (1996).
38. G. K. Batchelor and A. A. Townsend, "Decay of vorticity in isotropic turbulence," Proc. R. Soc. London, Ser. A 190, 534 (1947).