A two-dimensional vortex condensate at high Reynolds number

Journal of Fluid Mechanics

Volumn 715, Issue , 2013, Pages 359-388

  Gallet, Basile ^a   Young, William R ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

instability; transition to turbulence; vortex flows

Indexed keywords

DRAG; PLASMA STABILITY; REYNOLDS NUMBER; VISCOUS FLOW; VORTEX FLOW;

HIGH REYNOLDS NUMBER; PARTICULAR SOLUTION; STRESS-FREE BOUNDARY CONDITIONS; SYMMETRY-BREAKING INSTABILITY; TRANSITION TO TURBULENCE; TWO-DIMENSIONAL EULER EQUATIONS; TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS; VORTICITY EQUATION;

NAVIER STOKES EQUATIONS;

BOUNDARY CONDITION; NAVIER-STOKES EQUATIONS; REYNOLDS NUMBER; TURBULENCE; TWO-DIMENSIONAL MODELING; VORTEX FLOW; VORTICITY;

EID: 84872183605     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2012.524     Document Type: Article

References (27)

1. ALEXAKIS, A. & DOERING, C. R. 2006 Energy and enstrophy dissipation in steady state 2D turbulence. Phys. Lett. A 359, 652-657. (Pubitemid 44634230)
2. BOFFETTA, S. 2007 Energy and enstrophy fluxes in the double cascade of two-dimensional turbulence. J. Fluid Mech. 589, 253-360.
3. CHANDLER, G. J. & KERSWELL, R. R. (2012) Simple invariant solutions embedded in two-dimensional Kolmogorov turbulence. J. Fluid Mech. (accepted). CHERTKOV, M., CONNAUGHTON, C., KOLOKOLOV, I. & LEBEDEV, V. 2007 Dynamics of energy condensation in two-dimensional turbulence. Phys. Rev. Lett. 99, 084501.
4. CHERTKOV, M., KOLOKOLOV, I. & LEBEDEV, V. 2010 Universal velocity profile for coherent vortices in two-dimensional turbulence. Phys. Rev. E 81, 015302.
5. CHILDRESS, S. 1979 Alpha effect in flux ropes and sheets. Phys. Earth Planet. Inter. 20, 172-180.
6. CVITANOVI'C, P. 1988 Invariant measurement of strange sets in terms of cycles. Phys. Rev. Lett. 61 24.
7. DAVIES, B. 2000 Integral Transforms and Their Applications. Springer.
8. FAUVE, S. & THUAL, O. 1990 Solitary waves generated by subcritical instabilities in dissipative systems. Phys. Rev. Lett. 64, 3.
9. GALLET, B., HERAULT, J., LAROCHE, C., ṔeTŔe LIS, F. & FAUVE, S. 2011 Reversals of a large-scale field generated over a turbulent background. Geophys. Astrophys. Fluid Dyn. 106 (4-5), 468-492.
10. GAMA, S., VERGASSOLA, M. & FRISCH, U. 1994 Negative eddy viscosity in isotropically forced two-dimensional flow: linear and nonlinear dynamics. J. Fluid Mech. 260, 95-126.
11. HAKIM, V., JAKOBSEN, P. & POMEAU, Y. 1990 Fronts versus solitary waves in nonequilibrium systems. Europhys. Lett. 11, 1.
12. HUGHES, D. W. & PROCTOR, M. R. E. 1990 A low-order model of the shear instability of convection: chaos and the effect of noise. Nonlinearity 3, 127-153.
13. KRAICHNAN, R. H. 1967 Inertial ranges in two-dimensional turbulence. Phys. Fluids 10, 7.
14. KUMAR, K., PAL, P. & FAUVE, S. 2006 Critical bursting. Europhys. Lett. 74, 6.
15. LILLY, D. K. 1969 Numerical simulation of two-dimensional turbulence. Phys. Fluids 12 (Suppl.) II-240.
16. MALTRUD, M. E. & VALLIS, G. K. 1991 Energy spectra and coherent structures in forced two-dimensional and beta-plane turbulence. J. Fluid Mech. 228, 321-342. (Pubitemid 21681619)
17. MESHALKIN, L. D. & SINAI, YA. G. 1961 Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous fluid. J. Appl. Mech. 25, 1700-1705.
18. PARET, J., JULLIEN, M.-C. & TABELING, P. 1999 Vorticity statistics in the two-dimensional enstrophy cascade. Phys. Rev. Lett. 83, 17.
19. PARET, J. & TABELING, P. 1997 Experimental observation of the two-dimensional inverse energy cascade. Phys. Rev. Lett. 79, 21.
20. ROSENBLUTH, M. N., BERK, H. L., DOXAS, I. & HORTON, W. 1987 Effective diffusion in laminar convective flows. Phys. Fluids 30, 2636.
21. RUTGERS, M. A. 1998 Forced 2D turbulence: experimental evidence of simultaneous inverse energy and forward enstrophy cascades. Phys. Rev. Lett. 81, 11.
22. SIVASHINSKY, G. I. 1985 Weak turbulence in periodic flows. Physica 17D, 243-255.
23. SMITH, L. & YAKHOT, V. 1994 Finite-size effects in forced two-dimensional turbulence. J. Fluid Mech. 274, 115-138. (Pubitemid 284220)
24. SOMMERIA, J. 1986 Experimental study of the two-dimensional inverse energy cascade in a square box. J. Fluid Mech. 170, 139-168. (Pubitemid 17464126)
25. THESS, A. 1992 Instabilities in two-dimensional spatially periodic flows. Part II: Square eddy lattice. Phys. Fluids A 4, 7.
26. TSANG, Y.-K. 2010 Non-universal velocity probability densities in forced two-dimensional turbulence: the effect of large-scale dissipation. Phys. Fluids A 22, 115102.
27. TSANG, Y.-K. & YOUNG, W. R. 2009 Forced-dissipative two-dimensional turbulence: a scaling regime controlled by drag. Phys. Rev. E 79, 045308.