WKB theory for rapid distortion of inhomogeneous turbulence

Journal of Fluid Mechanics

Volumn 390, Issue , 1999, Pages 325-348

  Nazarenko, S ^a   Kevlahan, N K R ^b   Dubrulle, B ^c  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b MCMASTER UNIVERSITY   (Canada)

^c CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW PATTERNS; KINETIC ENERGY; MATHEMATICAL MODELS; REYNOLDS NUMBER; TURBULENCE; UNSTEADY FLOW; VORTEX FLOW;

RAPID DISTORTION THEORY; REYNOLDS STRESS TENSOR; TAYLOR'S FOUR-ROLLER FLOW; WAVENUMBERS;

TURBULENT FLOW;

EID: 0032625427     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099005340     Document Type: Article

References (28)

1. ANDREOTTI, B., DOUADY, S. & COUDLER, Y. 1997 About the interaction between vorticity and stretching in coherent structures. In Turbulence Modeling and Vortex Dynamics: Proceedings of a Workshop held at Istanbul, Turkey, 2-6 September 1996 (ed. O. Boratav, A. Eden & A. Erzan), pp. 92-108. Springer.
2. BATCHELOR, G. K. & PROUDMAN, I. 1954 The effect of rapid distortion of a fluid in turbulent motion. Q. J. Mech. Appl. Maths 7, 83.
3. CAMBON, C. & SCOTT, J. F. 1999 Linear and nonlinear models of isotropic turbulence. Ann. Rev. Fluid Mech 31, 1-53.
4. CANTWELL, B. & COLES, D. 1983 An experimantal study of entrainment and transport in the turbulent near wake of a circular cylinder. J. Fluid Mech. 136, 321-374.
5. DARWIN, C. G. 1952 Note on hydrodynamics. Proc. Camb. Phil. Soc. 49, 342.
6. DUBRULLE, B. & FRISCH, U. 1991 The eddy-viscosity of parity invariant flow. Phys. Rev. A 43, 5355-5364.
7. DUBRULLE, B. & NAZARENKO, S. 1997 Interaction of turbulence and large-sclae vortices in incompressible 2D fluids. Physica D 110, 123-138.
8. DURBIN, P. A. 1981 Distorted turbulence in axisymmetric flow. Q. J. Mech. Appl. Math. 34, 489.
9. DURBIN, P. A. & HUNT, J. C. R. 1980 On surface pressure fluctuations beneath turbulent flow round bluff bodies. J. Fluid Mech. 100, 161-184.
10. DYACHENKO, A., NAZARENKO, S. & ZAKHAROV, V. 1992 Wave-vortex dynamics in drift and beta-planet turbulence. Phys. Lett. A 165, 330.
11. FARGE, M. 1992 Wavelet transforms and their appliations to turbulence. Ann. Rev. Fluid Mech. 24, 395-457.
12. FRIEDLANDER, S. & VISHIK, M. M. 1991 Instability criteria for the flow of inviscid incompressible fluid. Phys. Rev. Lett. 66, 2204-2206.
13. FRISCH, U., SHE, Z. S. & SULEM, P. L. 1987 Large-scale flow driven by the anisotropic kinetic alpha effect. Physica D 28, 382-392.
14. GAMA, S., FRISCH, U. & SCHOLL, H. 1991 The 2-D Navier-Stokes equations with a large scale instability of the Kuramoto-Sivashinsky type : numerical exploration on the connection machine. J. Sci. Comput. 6, 425-452.
15. GAMA, S., VERGASSOLA, M. & FRISCH, U. 1994 Negative eddy-viscosity in isotropically forced two-dimensional flow: linear and non-linear dynamics. J. Fluid Mech. 260, 95-126.
16. GOLDSTEIN, M. E. 1978 Unsteady vortical and entropic distortions of potential flows round arbitrary obstacles. J. Fluid Mech. 89, 433-468.
17. GOLDSTEIN, M. E. & DURBIN, P. A. 1980 The effect of finite turbulence spatial scale on the amplification of turbulence by a contracting stream. J. Fluid Mech. 98, 473-508.
18. HUNT, J. C. R. 1973 A theory of turbulent flow round two-dimensional bluff bodies. J. Fluid Mech. 61, 625-706.
19. HUNT, J. C. R. & CARRUTHERS, D. J. 1990 Rapid distortion theory and the 'problems' of turbulence. J. Fluid Mech. 212, 497-532.
20. KERR, O. S. & DOLD, J. W. 1994 Periodic steady vortices in a stagnation-point flow. J. Fluid Mech. 276, 307-325.
21. KEVLAHAN, N. K.-R. & HUNT, J. C. R. 1997 Nonlinear interactions in turbulence with strong irrotational straining. J. Fluid Mech. 337, 333-364.
22. LAVAL, J.-P., DUBRULLE, B. & NAZARENKO, S. 1998 Dynamical modelling of sub-grid scales in 2D turbulence. J. Fluid Mech. (submitted).
23. LEBLANC, S. & CAMBON, C. 1998 Effects of the Coriolis force on the stability of Stuart's vortices. J. Fluid Mech. 356, 353-379.
24. LIFSCHITZ, A. & HAMEIRI, E. 1991 Local stability conditions in fluid dynamics. Phys. Fluids A 3, 2644-2651.
25. MALLAT, S. 1998 A Wavelet Tour of Signal Processing. Academic.
26. MOFFATT, H. 1965 The interaction of turbulence with strong wing shear. In Proc. URSI-IUGG Coloq. on Atoms. Turbulence and Radio Wave Propag., Moscow, Nauka, p. 139.
27. NAZARENKO, S. & LAVAL, J.-P. 1997 Nonlocal 2D turbulence and passive scalars in Batchelor's regime. J. Fluid Mech. (submitted).
28. SIPP, D. & JACQUIN, L. 1998 Elliptic instability in two-dimensional flattened taylor-green vortices. Phys. Fluids 10, 839-849.