Reynolds-number dependency in homogeneous, stationary two-dimensional turbulence

Journal of Fluid Mechanics

Volumn 646, Issue , 2010, Pages 517-526

  Bracco, Annalisa ^a   McWilliams, James C ^b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASTROPHYSICS; DISTRIBUTION FUNCTIONS; GEOPHYSICS; REYNOLDS NUMBER; STRUCTURAL GEOLOGY; TURBULENCE; VORTEX FLOW; VORTICITY;

EQUILIBRIUM DISTRIBUTIONS; INVERSE ENERGY CASCADES; LARGE SCALE SIMULATIONS; LARGE-SCALE COHERENT STRUCTURES; PARTICULAR DISTRIBUTION; TWO DIMENSIONAL TURBULENCE; TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS; VELOCITY STRUCTURE FUNCTIONS;

NAVIER STOKES EQUATIONS;

DIFFUSION; DISSIPATION; NAVIER-STOKES EQUATIONS; PARAMETERIZATION; POWER LAW; REYNOLDS NUMBER; TURBULENCE; TWO-DIMENSIONAL FLOW; VORTICITY;

EID: 77952335323     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009993661     Document Type: Article

References (27)

1. Alexakis, A. & Doering, C. R. 2006 Energy and enstrophy dissipation in steady state two-dimensional turbulence. Phys. Lett. A 359, 652-657.
2. Babiano, A. & Provenzale, A. 2007 Coherent vortices and tracer cascades in two-dimensional turbulence. J. Fluid Mech. 574, 429-448.
3. Batchelor, G. K. 1969 Computation of energy spectrum in homogeneous two-dimensional turbulence. Phys. Fluids Suppl. 12, 233-239.
4. Benzi, R., Paladin, G. & Vulpiani, A. 1990 Power spectra in two-dimensional turbulence. Phys. Rev. A 42, 3654-3656.
5. Boffetta, G. 2007 Energy and enstrophy fluxes in the double cascade of two-dimensional turbulence. J. Fluid Mech. 589, 253-260.
6. Boffetta, G., Celani, A. & Vergassola, M. 2000 Inverse energy cascade in two-dimensional turbulence: deviations from Gaussian behaviour. Phys. Rev. E 61, R29-R32.
7. Borue, V. 1993 Spectral exponents of enstrophy cascade in stationary two-dimensional homogeneous turbulence. Phys. Rev. Lett. 71, 3967-3970.
8. Borue, V. 1994 Inverse energy cascade in stationary two-dimensional homogeneous turbulence. Phys. Rev. Lett. 72, 1475-1478.
9. Bracco, A., LaCasce, J. H., Pasquero, C. & Provenzale, A. 2000a The velocity distribution of barotropic turbulence. Phys. Fluids 12 (10), 2478-2488.
10. Bracco, A., McWilliams, J. C., Murante, G., Provenzale, A. & Weiss, J. B. 2000b Revisiting freely decaying two-dimensional turbulence at millennial resolution. Phys. Fluids 12 (11), 2931-2941.
11. Charney, J. 1971 Geostrophic turbulence. J. Atmos. Sci. 28, 1087-1095.
12. Eyink, Gregory L. 1995 Exact results on scaling exponents in the two-dimensional enstrophy cascade. Phys. Rev. Lett. 74 (19), 3800-3803.
13. Falkovich, G. & Lebedev, V. 1994 Universal direct cascade in two-dimensional turbulence. Phys. Rev. E 50, 3883-3899.
14. Gotoh, T. 1998 Energy spectrum in the inertial and dissipation ranges of two-dimensional steady turbulence. Phys. Rev. E 57, 2984-2992.
15. Kolmogorov, A. N. 1941 Local structure of turbulence in an incompressible fluid for very large Reynolds number. Dokl. Akad. Nauk. SSSR 30, 19-21.
16. Kolmogorov, A. N. 1962 A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. J. Fluid Mech. 13, 82-85.
17. Kraichnan, R. H. 1967 Inertial ranges in two-dimensional turbulence. Phys. Fluids 10, 1417-1423.
18. Kraichnan, R. H. 1971 Inertial range transfer in two-and three-dimensional turbulence. J. Fluid Mech. 47, 525-535.
19. Ladyzhenskaya, O. 1969 The Mathematical Theory of Viscous Incompressible Flow. Gordon and Breach.
20. McWilliams, J. C. 1984 The emergence of isolated coherent vortices in turbulent flow. J. Fluid Mech. 146, 21-43.
21. McWilliams, J. C. 1990 The vortices of two-dimensional turbulence. J. Fluid Mech. 219, 361-385.
22. Paret, J. & Tabeling, P. 1997 Experimental observation of the two-dimensional inverse energy cascade. Phys. Rev. Lett. 79, 2486-2489.
23. Pasquero, C. & Falkovich, G. 2002 Stationary spectrum of vorticity cascade in two-dimensional turbulence. Phys. Rev. E 65, 056305.
24. Rose, H. A. & Sulem, P.-L. 1978 Fully developed turbulence and statistical mechanics. J. Phys. France 39, 441-484.
25. Schorghofer, N. 2000a Energy spectra of steady two-dimensional turbulent flows. Phys. Rev. E 61 (6), 6572-6577.
26. Schorghofer, N. 2000b Universality of probability distributions among two-dimensional turbulent flows. Phys. Rev. E 61 (6), 6568-6571.
27. Sreenivasan, K. & Antonia, R. 1997 The phenomenology of small-scale turbulence. Annu. Rev. Fluid Mech. 29, 435-472.