The effects of solid boundaries on confined two-dimensional turbulence

Journal of Fluid Mechanics

Volumn 554, Issue , 2006, Pages 411-431

  Van Heijst, G J F ^a   Clercx, H J H ^a   Molenaar, D ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; REYNOLDS NUMBER; STRESSES; TURBULENT FLOW; VORTEX FLOW;

CONFINED TURBULENCE; NUMERICAL FLOW SIMULATIONS; SOLID BOUNDARIES; TWO-DIMENSIONAL TURBULENCE;

TURBULENCE;

ANISOTROPY; COMPUTER SIMULATION; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; REYNOLDS NUMBER; STRESSES; TURBULENCE; TURBULENT FLOW; VORTEX FLOW;

PROBABILITY; REYNOLDS NUMBER; SIMULATION; SOLID; TURBULENCE; VORTICITY;

EID: 33646053844     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211200600886X     Document Type: Article

References (50)

1. Belin, F., Tabeling, P. & Willaime, H. 1996 Exponents of structure functions in a low temperature helium experiment. Physica D 93, 52-63.
2. Benzi, R., Amati, G., Casciola, C. M., Toschi, F. & Piva, R. 1999 Intermittency and scaling laws for wall bounded turbulence. Phys. Fluids 11, 1284-1286.
3. Blevins, R. D. 1984 Applied Fluid Dynamics Handbook. Van Nostrand Reinhold.
4. Borue, V. 1993 Spectral exponents of enstrophy cascade in stationary two-dimensional homogeneous turbulence. Phys. Rev. Lett. 71, 3967-3970.
5. Brands, H., Maassen, S. R. & Clercx, H. J. H. 1999 Statistical mechanical predictions and Navier-Stokes dynamics of two-dimensional flows on a bounded domain. Phys. Rev. E 60, 2864-2874.
6. Chavanis, P. H. & Sommeria, J. 1996 Classification of self-organised vortices in two-dimensional turbulence: The case of a bounded domain. J. Fluid Mech. 314, 267-297.
7. Clercx, H. J. H. 1997 A spectral solver for the Navier-Stokes equations in the velocity-vorticity formulation for flows with two non-periodic directions. J. Comput. Phys. 137, 186-211.
8. Clercx, H. J. H. & van Heijst, G. J. F. 2000 Energy spectra for decaying two-dimensional turbulence in a bounded domain. Phys. Rev. Lett. 85, 306-309.
9. Clercx, H. J. H. & van Heijst, G. J. F. 2002 Dissipation of kinetic energy in two-dimensional bounded flows. Phys. Rev. E 65, 066305-1-4.
10. Clercx, H. J. H., Maassen, S. R. & van Heijst, G. J. F. 1998 Spontaneous spin-up during the decay of two-dimensional turbulence in a square container with rigid boundaries. Phys. Rev. Lett. 80, 5129-5132.
11. Clercx, H. J. H., Maassen, S. R. & van Heijst, G. J. F. 1999 Decaying two-dimensional turbulence in square containers with no-slip or stress-free boundaries. Phys. Fluids 11, 611-626.
12. Clercx, H. J. H., Nielsen, A. H., Torres, D. J. & Coutsias, E. A. 2001 Two-dimensional turbulence in square and circular domains with no-slip walls. Eur. J. Mech. B/Fluids 20, 557-576.
13. Eyink, G. L. 1995 Exact results on scaling exponents in the two-dimensional enstrophy cascade. Phys. Rev. Lett. 74, 3800-3803.
14. Fincham, A. M., Maxworthy, T. & Spedding, G. R. 1996 Energy dissipation and vortex structure in freely decaying, stratified grid turbulence. Dyn. Atmos. Oceans 23, 155-169.
15. Fontenele Araujo, F., Grossmann, S. & Lohse, D. 2005 Wind reversals in turbulent Rayleigh-Bénard convection. Phys. Rev. Lett. 95, 084502.
16. Hossain, M., Matthaeus, W. H. & Montgomery, D. 1983 Long-time state of inverse cascades in the presence of a maximum length scale. J. Plasma Phys. 30, 479-493.
17. Joyce, G. & Montgomery, D. 1973 Negative temperature states for the two-dimensional guiding centre plasma. J. Plasma Phys. 10, 107-121.
18. Kadanoff, L. P. 2000 Turbulent heat flows: Structure and scaling. Phys. Today 54, 34-39.
19. Kellay, H. & Goldburg, W. I. 2002 Two-dimensional turbulence: A review of some recent experiments. Rep. Prog. Phys. 65, 845-894.
20. Kraichnan, R. H. 1967 Inertial ranges in two-dimensional turbulence. Phys. Fluids 10, 1417-1423.
21. Kraichnan, R. H. & Montgomery, D. 1980 Two-dimensional turbulence. Rep. Prog. Phys. 43, 547-619.
22. Li, S. & Montgomery, D. C. 1996 Decaying two-dimensional turbulence with rigid walls. Phys. Lett. A 21, 281-291.
23. Li, S., Montgomery, D. & Jones, W. B. 1996 Inverse cascades of angular momentum. J. Plasma Phys. 56, 615-639.
24. Li, S., Montgomery, D. C. & Jones, W. B. 1997 Two-dimensional turbulence with rigid circular walls. Theor. Comput. Fluid Dyn. 9, 167-181.
25. Lilly, D. 1969 Numerical simulation of two-dimensional turbulence. Phys. Fluids 12, II, 240-249.
26. Maassen, S. R. 2000 Self-organization of confined two-dimensional flows. PhD Thesis, Eindhoven University of Technology.
27. Maassen, S. R., Clercx, H. J. H. & van Heijst, G. J. F. 1999 Decaying quasi-two-dimensional turbulence in a stratified fluid with circular boundaries. Europhys. Lett. 46, 339-345.
28. Maassen, S. R., Clercx, H. J. H. & van Heijst, G. J. F. 2002 Self-organization of quasi-two-dimensional turbulence in stratified fluids in square and circular containers. Phys. Fluids 14, 2150-2169.
29. Maassen, S. R., Clercx, H. J. H. & van Heijst, G. J. F. 2003 Self-organization of quasi-two-dimensional turbulence in stratified fluids in rectangular containers. J. Fluid. Mech. 495, 19-33.
30. Maltrud, M. E. & Vallis, G. K. 1991 Energy spectra and coherent structures in numerical simulations of two-dimensional and beta-plane turbulence. J. Fluid Mech. 228, 321-342.
31. Matthaeus, W. H. & Montgomery, D. C. 1980 Selective decay hypothesis at high mechanical and magnetic Reynolds numbers. Ann. (N.Y.) Acad. Sci. 357, 203-222.
32. Matthaeus, W. H., Stribling, W. T., Martinez, D., Oughton, S. & Montgomery, D. C. 1991 Decaying, two-dimensional, Navier-Stokes turbulence at very long times. Physica D 51, 531-538.
33. McWilliams, J. C. 1984 The emergence of isolated coherent vortices in turbulent flows. J. Fluid Mech. 146, 21-43.
34. Miller, J. 1990 Statistical mechanics of Euler's equation in two dimensions. Phys. Rev. Lett. 65, 2137-2140.
35. Molenaar, D. 2004 Forced Navier-Stokes flows on a bounded two-dimensional domain. PhD Thesis, Eindhoven University of Technology.
36. Molenaar, D., Clercx, H. J. H. & van Heijst, G. J. F. 2004 Angular momentum of forced two-dimensional turbulence on a square no-slip domain. Physica D 196, 329-340.
37. Niemela, J. J., Skrbek, L., Sreenivasan, K. R. & Donnelly, R. J. 2001 The wind in confined thermal convection. J. Fluid Mech. 449, 169-178.
38. Onsager, L. 1949 Statistical hydrodynamics. Nuovo Cimento Suppl. 6, 279-287.
39. Paret, J., Jullien, M. & Tabeling, P. 1999 Vorticity statistics in the two-dimensional enstrophy cascade. Phys. Rev. Lett. 83, 3418-3421.
40. Paret, J. & Tabeling, P. 1998 Intermittency in the two-dimensional inverse cascade of energy: Experimental observations. Phys. Fluids 10, 3126-3136.
41. Pointin, Y. B. & Lundgren, T. S. 1976 Statistical mechanics of two-dimensional vortices in a bounded container. Phys. Fluids 19, 1459-1470.
42. Robert, R. 1991 Maximum entropy principle for two-dimensional Euler equations. J. Stat. Phys. 65, 531-553.
43. Santangelo, P., Benzi, R. & Legras, B. 1989 The generation of vortices in high-resolution two-dimensional, decaying turbulence and the influence of initial conditions on the breaking of self-similarity. Phys. Fluids A 1, 1027-1034.
44. Smith, L. M. & Yakhot, V. 1993 Bose condensation and small-scale structure generation in a random force driven two-dimensional turbulence. Phys. Rev. Lett. 71, 352-355.
45. Smith, L. M. & Yakhot, V. 1994 Finite-size effects in forced two-dimensional turbulence. J. Fluid Mech. 274, 115-138.
46. Sommeria, J. 1986 Experimental study of the two-dimensional inverse energy cascade in a square box. J. Fluid Mech. 170, 139-168.
47. Tabeling, P. 2002 Two-dimensional turbulence: A physicist approach. Phys. Rep. 362, 1-62.
48. Tram, C. V. & Bowman, J. C. 2002 On the dual cascade in two-dimensional turbulence. Physica D 176, 242-255.
49. Van de Konijnenberg, J. A., Flór, J. B. & van Heijst, G. J. F. 1998 Decaying quasi-two-dimensional flow on a square domain. Phys. Fluids 10, 595-606.
50. Verron, J. & Sommeria, J. 1987 Numerical simulations of a two-dimensional turbulence experiment in magnetohydrodynamics. Phys. Fluids 30, 732-739.