A new proof on net upscale energy cascade in two-dimensional and quasi-geostrophic turbulence

Journal of Fluid Mechanics

Volumn 576, Issue , 2007, Pages 173-189

  Gkioulekas, Eleftherios ^a   Tung, Ka Kit ^b  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC PRESSURE; CORIOLIS FORCE; MATHEMATICAL MODELS; VORTICITY;

ENERGY CASCADE; ENERGY FLOW; QUASI-GEOSTROPHIC TURBULENCE;

ATMOSPHERIC TURBULENCE;

ATMOSPHERIC PRESSURE; ATMOSPHERIC TURBULENCE; CORIOLIS FORCE; MATHEMATICAL MODELS; VORTICITY;

BAROTROPIC MOTION; ENERGY FLOW; FLUID DYNAMICS; QUASI-GEOSTROPHIC FLOW; TURBULENCE; TWO-DIMENSIONAL FLOW;

EID: 34447286042     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006003934     Document Type: Article

References (38)

1. BACHELOR, G. 1969 Computation of the energy spectrum in homogeneous, two dimensional turbulence. Phys. Fluids Suppl. II 12, 233-239.
2. BOER, G. & SHEPHERD, T. 1983 Large-scale two-dimensional turbulence in the atmosphere. J. Atmos. Sci. 40, 164-184.
3. BOFFETTA, G., CELANI, A. & VERGASSOLA, M. 2000 Inverse energy cascade in two dimensional turbulence: Deviations from Gaussian behavior. Phys. Rev. E 61, 29-32.
4. CHARNEY, J. 1971 Geostrophic turbulence. J. Atmos. Sci. 28, 1087-1095.
5. CHO, J. & LINDBORG, E. 2001 Horizontal velocity structure functions in the upper troposphere and lower stratosphere. Part 2. Theoretical considerations. J. Geophys. Res. 106 (D10), 10223-10241.
6. CHO, J., NEWELL, R., ANDERSON, B., BARRICK, J. & THORNHILL, K. 2003 Characterizations of tropospheric turbulence and stability layers from aircraft observations. J. Geophys. Res. 108 (D20), 8784.
7. DANILOV, S. 2005 Non-universal features of forced 2d turbulence in the energy and enstrophy ranges. Discrete Contin. Dyn. Sys. B 5 67-78.
8. DANILOV, S. & GURARIE, D. 2001a Forced two-dimensional turbulence in spectral and physical space. Phys. Rev. E 63, 061208.
9. DANILOV, S. & GURARIE, D. 2001b Non-universal features of forced two dimensional turbulence in the energy range. Phys. Rev. E 63, 020203.
10. EYINK, G. 1996 Exact results on stationary turbulence in two dimensions: Consequences of vorticity conservation. Physica D 91, 97-142.
11. FJØRTØFT, R. 1953 On the changes in the spectral distribution of kinetic energy for two dimensional non-divergent flow. Tellus 5, 225-230
12. GKIOULEKAS, E. 2006 A theoretical study of the cascades of 3D, 2D, and QG turbulence. PhD thesis, University of Washington.
13. GKIOULEKAS, E. & TUNG, K. 2005a On the double cascades of energy and enstrophy in two dimensional turbulence. Part 1. Theoretical formulation. Discrete Contin. Dyn. Syst. B 5, 79-102.
14. GKIOULEKAS, E. & TUNG, K. 2005b On the double cascades of energy and enstrophy in two dimensional turbulence. Part 2. Approach to the KLB limit and interpretation of experimental evidence. Discrete Contin. Dyn. Syst. B 5, 103-124.
15. GKIOULEKAS, E. & TUNG, K. 2007 Is the subdominant part of the energy spectrum due to downscale energy cascade hidden in quasi-geostrophic turbulence? Discrete Contin. Dyn. Syst. B 7 293-314.
16. ISHIHIRA, T. & KANEDA, Y. 2001 Energy spectrum in the enstrophy transfer range of two-dimensional forced turbulence. Phys. Fluids 13, 544-547.
17. KRAICHNAN, R. 1967 Inertial ranges in two dimensional turbulence. Phys. Fluids 10, 1417-1423.
18. LEITH, C. 1968 Diffusion approximation for two dimensional turbulence. Phys. Fluids 11, 671-673.
19. LINDBORG, E. & ALVELIUS, K. 2000 The kinetic energy spectrum of two dimensional enstrophy turbulence cascade. Phys. Fluids 12 945-947.
20. MERILEES, P. & WARN, T. 1975 On energy and enstrophy exchanges in two-dimensional non-divergent flow. J. Fluid. Mech. 69, 625-630.
21. PASQUERO, C. & FALKOVICH, G. 2002 Stationary spectrum of vorticity cascade in two dimensional turbulence. Phys. Rev. E 65, 056305.
22. RHINES, P. 1975 Waves and turbulence on a beta-plane. J. Fluid. Mech. 69, 417-443.
23. RHINES, P. 1979 Geostrophic turbulence. Annu. Rev. Fluid Mech. 11, 401-441.
24. SALMON, R. 1978 Two-layer quasi-geostrophic turbulence in a simple special case. Geophys. Astrophys. Fluid Dyn. 10, 25-52.
25. SALMON, R. 1980 Baroclinic instability and geostrophic turbulence. Geophys. Astrophys. Fluid Dyn. 15, 167-211.
26. SALMON, R. 1998 Lectures on Geophysical Fluid Dynamics. Oxford University Press.
27. SCOTT, R. 2001 Evolution of energy and enstrophy containing scales in decaying, two-dimensional turbulence with friction. Phys. Fluids 13, 2739-2742.
28. SMITH, K., BOCCALETI, G., HENNING, C., MARINOV, I., TAM, C., HELD, I. & VALLIS, G. 2002 Turbulent diffusion in the geostrophic inverse cascade. J. Fluid. Mech. 469, 13-48.
29. STRAUS, D. & DITLEVSEN, P. 1999 Two-dimensional turbulence properties of the ECMWF reanalyses. Tellus 51A, 749-772.
30. TABELING, P. 2002 Two dimensional turbulence: A physicist approach. Phys. Rep. 362, 1-62.
31. TRAN, C. & BOWMAN, J. 2003 On the dual cascade in two dimensional turbulence. Physica D 176, 242-255.
32. TRAN, C. & BOWMAN, J. 2004 Robustness of the inverse cascade in two-dimensional turbulence. Phys. Rev. E 69, 036303.
33. TRAN, C. & SHEPHERD, T. 2002 Constraints on the spectral distribution of energy and enstrophy dissipation in forced two dimensional turbulence. Physica D 165, 199-212.
34. TRAN, C. & SHEPHERD, T. 2004 Remarks on the KLB theory of two-dimensional turbulence. J. Fluid Mech. (submitted).
35. -5/3 energy spectrum of the atmospheric turbulence: Quasi-geostrophic two level model simulation. J. Atmos. Sci. 60, 824-835.
36. TUNG, K. & ORLANDO, W. 2003b On the differences between 2D and QG turbulence. Discrete Contin. Dyn. Syst. B 3, 145-162.
37. TUNG, K. & WELCH, W. 2001 Remarks on note on geostrophic turbulence. J. Atmos. Sci. 58, 2009-2012.
38. WALEFFE, F. 1992 The nature of triad interactions in homogeneous turbulence. Phys. Fluids A 4, 350-363.