Nonuniversal k-3 energy spectrum in stationary two-dimensional homogeneous turbulence

Physics of Fluids

Volumn 13, Issue 5, 2001, Pages 1431-1439

  Kaneda, Yukio ^a   Ishihara, Takashi ^a  

^a NAGOYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; MATHEMATICAL MODELS;

ENSTROPHY TRANSFER;

TURBULENCE;

MATHEMATICAL MODELING; TURBULENCE; TWO-DIMENSIONAL FLOW;

EID: 0035340851     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1359187     Document Type: Article

References (22)

1. Y. Couder, "Two-dimensional grid turbulence in a thin liquid film," J. Phys. (France) Lett. 45, L-353 (1984).
2. Y. Couder and C. Basdevant, "Experimental and numerical study of vortex couples in two-dimensional flows," J. Fluid Mech. 173, 225 (1986).
3. Y. Couder, J. M. Chomaz, and M. Rabaud, "On the hydrodynamics of soap films," Physica D 37, 384 (1989).
4. X. L. Wu, B. Martin, H. Kellay, and W. I. Goldburg, "Hydrodynamic convection in a two-dimensional Couette cell," Phys. Rev. Lett. 75, 236 (1995).
5. W. I. Goldburg, M. A. Rutgers, and X. L. Wu, "Experiments on turbulence in soap films," Physica A 239, 340 (1997).
6. H. Kellay, X. L. Wu, and W. I. Goldburg, "Vorticity measurements in turbulent soap films," Phys. Rev. Lett. 80, 277 (1998).
7. B. K. Martin, X. L. Wu, W. I. Goldburg, and M. A. Rutgers, "Spectra of decaying turbulence in a soap film," Phys. Rev. Lett. 80, 3964 (1998).
8. M. Rivera, P. Vorobieff, and R. E. Ecke, "Turbulence in flowing soap films: Velocity, vorticity, and thickness fields," Phys. Rev. Lett. 81, 1417 (1998).
9. R. H. Kraichnan, "Inertial ranges in two-dimensional turbulence," Phys. Fluids 10, 1417 (1967).
10. C. E. Leith, "Diffusion approximation for two-dimensional turbulence," Phys. Fluids 11, 671 (1968).
11. G. K. Batchelor, "Computation of the energy spectrum in homogeneous two-dimensional turbulence," Phys. Fluids. 12, Suppl. 11-233 (1969).
12. R. H. Kraichnan, "Inertial-range transfer in two-and three-dimensional turbulence," J. Fluid Mech. 47, 525 (1971).
13. G. D. Natstorm, K. S. Gage, and W. H. Jasperson, "Kinetic energy spectrum of large-and mesoscale atmospheric processes," Nature (London) 310, 36 (1984).
14. E. Lindborg, "Can the atmospheric kinetic energy spectrum be explained by two-dimensional turbulence?," J. Fluid Mech. 388, 259 (1999).
15. 2/3.]
16. V. Borue, "Spectral exponents of enstrophy cascade in stationary two-dimensional homogeneous turbulence," Phys. Rev. Lett. 71, 3967 (1993).
17. T. Ishihara and Y. Kaneda, "Energy spectrum in the enstrophy transfer range of two-dimensional forced turbulence," Phys. Fluids 13, 544 (2001).
18. M. E. Maltrud and G. K. Vallis, "Energy spectra and coherent structures in forced two-dimensional and beta-plane turbulence," J. Fluid Mech. 228, 321 (1991).
19. S. Nazarenko and J.-P. Laval "Non-local two-dimensional turbulence and Batchelor's regime for passive scalars," J. Fluid Mech. 408, 301 (2000).
20. G. S. Patterson and S. A. Orszag, "Spectral calculations of isotropic turbulence: Efficient removal of aliasing interactions," Phys. Fluids 14, 2538 (1971).
21. E. Lindborg and K. Alvelius, "The kinetic energy spectrum of the two-dimensional enstrophy turbulence cascade," Phys. Fluids 12, 945 (2000).
22. S. Sukoriansky, B. Galperin, and A. Chekhlov, "Large scale drag representation in simulations of two-dimensional turbulence," Phys. Fluids 11, 3043 (1999).