The enstrophy cascade in forced two-dimensional turbulence

Journal of Fluid Mechanics

Volumn 671, Issue , 2011, Pages 168-183

  Vallgren, Andreas ^a   Lindborg, Erik ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

homogeneous turbulence; turbulence simulation; turbulence theory

Indexed keywords

COMPUTATION THEORY; DRAG; FLUID MECHANICS; HIGHER ORDER STATISTICS; TURBULENCE; VORTEX FLOW;

ENSTROPHY DISSIPATION; FORCED TWO-DIMENSIONAL TURBULENCE; HOMOGENEOUS TURBULENCE; LOGARITHMIC CORRECTIONS; TURBULENCE SIMULATION; TURBULENCE THEORY; TWO DIMENSIONAL TURBULENCE; TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS;

NAVIER STOKES EQUATIONS;

COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; DRAG COEFFICIENT; ENERGY DISSIPATION; EQUATION OF STATE; NAVIER-STOKES EQUATIONS; NUMERICAL MODEL; TURBULENCE; TURBULENT FLOW;

EID: 79952816018     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010005562     Document Type: Article

References (31)

1. Alvelius, K. 1999 Random forcing of three-dimensional homogeneous turbulence. Phys. Fluids 11, 1880.
2. Boffetta, G. 2007 Energy and enstrophy fluxes in the double cascade of two-dimensional turbulence. J. Fluid Mech. 589, 253.
3. Boffetta, G., Celani, A., Musacchio, S. & Vergassola, M. 2002 Intermittency in two-dimensional Ekman-Navier-Stokes turbulence. Phys. Rev. E 66, 026304.
4. Borue, V. 1993 Spectral exponents of enstrophy cascade in stationary two-dimensional homogeneous turbulence. Phys. Rev. Lett. 71, 3967.
5. Borue, V. 1994 Inverse energy cascade in stationary two-dimensional homogeneous turbulence. Phys. Rev. Lett. 72, 1475.
6. Bracco, A. & McWilliams, J. 2010 Reynolds-number dependency in homogeneous, stationary two-dimensional turbulence. J. Fluid Mech. 646, 517.
7. Canuto, C., Hussaini, M. Y., Quarteroni, A. & Zang, T. A. 1988 Spectral Methods in Fluid Dynamics. Springer.
8. Chertkov, M., Connaughton, C., Kolokolov, I. & Lebedev, V. 2008 Dynamics of energy condensation in two-dimensional turbulence. Phys. Rev. Lett. 99, 084501.
9. Danilov, S. & Gurarie, D. 2001 Forced two-dimensional turbulence in spectral and physical space. Phys. Rev. E 63, 061208.
10. Eyink, G. L. 1996 Exact results on stationary turbulence in 2D: consequences of vorticity conservation. Physica D 91, 97.
11. Falkovich, G. & Lebedev, V. 1994 Universal direct cascade in two-dimensional turbulence. Phys. Rev. E 50, 3883.
12. Ishihara, T. & Kaneda, Y. 2001 Energy spectrum in the enstrophy transfer range of two-dimensional forced turbulence. Phys. Fluids 13, 544.
13. Kaneda, Y. 1987 Inertial range of two-dimensional turbulence in a Lagrangian renormalized approximation. Phys. Fluids 30, 2672.
14. Kraichnan, R. H. 1967 Inertial ranges in two-dimensional turbulence. Phys. Fluids 10, 1417.
15. Kraichnan, R. H. 1971 Inertial-range transfer in two-and three-dimensional turbulence. J. Fluid Mech. 47, 525.
16. Kraichnan, R. H. 1974 On Kolmogorov's inertial-range theories. J. Fluid Mech. 62, 305.
17. Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics, 1st edn.
18. Pergamon. Legras, B., Santangelo, P. & Benzi, R. 1988 High-resolution numerical experiments for forced two-dimensional turbulence. Europhys. Lett. 5, 37.
19. Lindborg, E. 1999 Can the atmospheric kinetic energy spectrum be explained by two-dimensional turbulence? J. Fluid Mech. 388, 259.
20. Lindborg, E. & Alvelius, K. 2000 The kinetic energy spectrum of the two-dimensional enstrophy turbulence cascade. Phys. Fluids 12, 945.
21. Lindborg, E. & Brethouwer, G. 2007 Stratified turbulence forced in rotational and divergent modes. J. Fluid Mech. 586, 83.
22. Maltrud, M. E. & Vallis, G. K. 1991 Energy spectra and coherent structures in forced two-dimensional and beta-plane turbulence. J. Fluid Mech. 228, 321.
23. McWilliams, J. 1989 Statistical properties of decaying geostrophic turbulence. J. Fluid Mech. 198, 199.
24. McWilliams, J. 1990 The vortices of two-dimensional turbulence. J. Fluid Mech. 219, 361.
25. Nam, K., Ott, E., Antonsen, T. M. & Guzdar, P. N. 2000 Lagrangian chaos and the effect of drag on the enstrophy cascade in two-dimensional turbulence. Phys. Rev. Lett. 84, 5134.
26. Ohkitani, K. 1991 Wave number space dynamics of enstrophy cascade in a forced two-dimensional turbulence. Phys. Fluids A 3, 1598.
27. Pasquero, C. & Falkovich, G. 2002 Stationary spectrum of vorticity cascade in two-dimensional turbulence. Phys. Rev. E 65, 056305.
28. Scott, R. K. 2007 Nonrobustness of the two-dimensional turbulent inverse cascade. Phys. Rev. E 75, 046301.
29. Tran, C. V. 2007 Constraints on inertial range scaling laws in forced two-dimensional Navier-Stokes turbulence. Phys. Fluids 19, 108109.
30. Tran, C. V. & Bowman, J. C. 2004 Robustness of the inverse cascade in two-dimensional turbulence. Phys. Rev. E 69, 036303.
31. Vallgren, A. 2010 Infrared Reynolds number dependency of the two-dimensional inverse energy cascade. J. Fluid Mech. 667, 465-475.