A stochastic view of isotropic turbulence decay

Journal of Fluid Mechanics

Volumn 668, Issue , 2011, Pages 351-362

  Meldi, Marcello ^a   Sagaut, Pierre ^b   Lucor, Didier ^b  

^a UNIVERSITY OF MODENA AND REGGIO EMILIA   (Italy)

^b INSTITUT JEAN LE ROND D ALEMBERT   (France)

Author keywords

generalized polynomial chaos; isotropic turbulence

Indexed keywords

KINETIC ENERGY; KINETICS; MARKOV PROCESSES; PROBABILITY DENSITY FUNCTION; REYNOLDS NUMBER; STOCHASTIC SYSTEMS; TURBULENCE;

ASYMPTOTIC BEHAVIOUR; FINITE REYNOLDS NUMBER; GENERALIZED POLYNOMIAL CHAOS; HIGH REYNOLDS NUMBER; ISOTROPIC TURBULENCE; ISOTROPIC TURBULENCE DECAY; KINETIC-ENERGY DECAY; PHYSICAL QUANTITIES;

DECAY (ORGANIC);

CHAOTIC DYNAMICS; ISOTROPY; MARKOV CHAIN; NUMERICAL MODEL; PROBABILITY DENSITY FUNCTION; REYNOLDS NUMBER; STOCHASTICITY; TURBULENCE;

EID: 79951664616     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010005793     Document Type: Article

References (34)

1. Antonia, R. A., Smalley, R. J., Zhou, T., Anselmet, F. & Danaila, L. 2003 Similarity of energy structure functions in decaying homogeneous isotropic turbulence. J. Fluid Mech. 487, 245-269. (Pubitemid 36996809)
2. Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
3. Batchelor, G. K. & Proudman, I. 1965 The large-scale structure of homogeneous turbulence. Phil. Trans. R. Soc. Lond. A 248, 369-405.
4. Batchelor, G. K. & Townsend, A. A. 1948 Decay of turbulence in the final period. Proc. R. Soc. Lond. A 194, 527-543.
5. Burattini, P., Lavoie, P., Agrawal, A., Djenidi, L. & Antonia, R. A. 2006 Power law of decaying homogeneous isotropic turbulence at low Reynolds number. Phys. Rev. E 73, 066304.
6. Clark, T. T. & Zemach, C. 1998 Symmetries and the approach to statistical equilibrium in isotropic turbulence. Phys. Fluids 10 (11), 2846-2858. (Pubitemid 128599809)
7. Comte-Bellot, G. & Corrsin, S. 1966 The use of a contraction to improve the isotropy of grid-generated turbulence. J. Fluid Mech. 25, 657-682.
8. Davidson, P. A. 2004 Turbulence: An Introduction for Scientists and Engineers. Oxford University Press.
9. Frenkel, A. L. 1984 Decay of homogeneous turbulence in three-range models. Phys. Lett. A 102 (7), 298-302.
10. Frenkel, A. L. & Levich, E. 1983 Statistical helicity invariant and decay of inertial turbulence. Phys. Lett. A 98 (1-2), 25-27.
11. Hinze, J. O. 1975 Turbulence. McGraw-Hill Series in Mechanical Engineering.
12. George, W. K. 1992 The decay of homogeneous isotropic turbulence. Phys. Fluids A 4 (7), 1492-1509.
13. Ghanem, R. G. & Spanos, P. 1991 Stochastic Finite Elements: A Spectral Approach. Springer.
14. Ishida, T., Davidson, P. A. & Kaneda, Y. 2006 On the decay of isotropic turbulence. J. Fluid Mech. 564, 455-475. (Pubitemid 44420008)
15. Ko, J., Lucor, D. & P. Sagaut, P. 2008 Sensitivity of two-dimensional spatially developing mixing layers with respect to uncertain inflow conditions. Phys. Fluids 20 (7), 077102-077120.
16. Kolmogorov, A. N. 1941 On the degeneration ofisotropic turbulence in an incompressible viscous fluid. Dokl. Akad. Nauk. SSSR 31 (6), 538-541.
17. Krogstad, P.-A. & Davidson, P. A. 2010 Is grid turbulence Saffman turbulence? J. Fluid Mech. 642, 373-394.
18. Lavoie, P., Djenedi, L. & Antonia, R. A. 2007 Effects of initial conditions in decaying turbulence generated by passive grids. J. Fluid Mech. 585, 395-420. (Pubitemid 47232976)
19. Lucor, D., Meyers, J. & Sagaut, P. 2007 Sensitivity analysis of large-eddy simulations to subgrid-scale-model parametric uncertainty using polynomial chaos. J. Fluid Mech. 585, 255-279. (Pubitemid 47232970)
20. Meyers, J. & Menevau, C. 2008 A functional form for the energy spectrum parametrizing bottleneck and intermittency effects. Phys. Fluids 20 (6), 065109.
21. Mohamed, M. S. & LaRue, J. C. 1990 The decay power law in grid-generated turbulence. J. Fluid Mech. 219, 195-214.
22. Monin, A. S. & Yaglom, A. M. 1975 Statistical Fluid Mechanics: Mechanics of Turbulence, vol. 2. MIT Press.
23. Oberlack, M. 2002 On the decay exponent of isotropic turbulence. Proc. Appl. Math. Mech. 1 (1), 294-297.
24. Orszag, S. A. 1970 Analytical theories ofturbulence. J. Fluid Mech. 41, 363-386.
25. Saffman, P. J. 1967a The large-scale structure of homogeneous turbulence. J. Fluid Mech. 27, 581-593.
26. Saffman, P. J. 1967b A note on decay of homogeneous turbulence. Phys. Fluids 10, 1349-1352.
27. Sagaut, P. & Cambon, C. 2008 Homogenous Turbulence Dynamics. Cambridge University Press.
28. Skrbrek, L. & Stalp, S. R. 2000 On the decay of homogeneous isotropic turbulence. Phys. Fluids 12 (8), 1997-2019. (Pubitemid 30638806)
29. Sobol, I. 1993 Sensitivity estimates for nonlinear mathematical models. Math. Modeling Comput. Exp. 1, 407-414.
30. Speziale, C. G. & Bernard, P. S. 1992 The energy decay in self-preserving isotropic turbulence revisited. J. Fluid Mech. 241, 645-667.
31. Taylor, G. I. 1935 Statistical theory ofturbulence. Proc. R. Soc. Lond. A 151, 421-444.
32. Uberoi, M. S. 1963 Energy transfer in isotropic turbulence. Phys. Fluids 6 (8), 1048-1056.
33. Wang, H. & George, W. K. 2002 The integral scale in homogeneous isotropic turbulence. J. Fluid Mech. 459, 429-443.
34. Warhaft, Z. & Lumley, J. L. 1978 An experimental study of the decay of temperature fluctuations in grid-generated turbulence. J. Fluid Mech. 88, 659-684. (Pubitemid 9399563)