Structure-function scaling of bounded two-dimensional turbulence

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 84, Issue 2, 2011, Pages

  Kramer, W ^a   Keetels, G H ^a   Clercx, H J H ^a,b   Van Heijst, G J F ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

DIRECT-ENSTROPHY; ENERGY SPECTRA; ENSTROPHY; FLOW DOMAINS; FORCED TWO-DIMENSIONAL TURBULENCE; NO-SLIP BOUNDARY; SCALING EXPONENT; SELF-SIMILARITIES; STATISTICAL PROPERTIES; STEEPER SLOPES; TURBULENCE SCALE; TWO DIMENSIONAL TURBULENCE; VORTICITY STRUCTURE;

SPECTROSCOPY; TWO DIMENSIONAL; VORTICITY;

TURBULENCE;

EID: 80051632866     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.026310     Document Type: Article

References (38)

1. U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, 1995).
2. L. F. Richardson, Weather Prediction by Numerical Process (Cambridge University Press, Cambridge, 1922).
3. L. Onsager, Nuovo Cimento Suppl. NUCIAD 0029-6341 10.1007/BF02780991 6, 279 (1949).
4. R. Fjørtoft, Tellus TSAOD8 0280-6495 10.1111/j.2153-3490.1953. tb01051.x 5, 225 (1953).
5. R. H. Kraichnan, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1762301 10, 1417 (1967).
6. R. H. Kraichnan, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112071001216 47, 525 (1971).
7. G. K. Batchelor, Phys. Fluids Suppl. II 12, 233 (1969).
8. C. E. Leith, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1691968 11, 671 (1968).
9. D. Lilly, Phys. Fluids Suppl. II 12, 240 (1969).
10. G. Boffetta, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112007008014 589, 253 (2007). (Pubitemid 350214589)
11. H. J. H. Clercx and G. J. F. van Heijst, Appl. Mech. Rev. AMREAD 0003-6900 10.1115/1.3077489 62, 020802 (2009).
12. L. M. Smith and V. Yakhot, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.352 71, 352 (1993).
13. L. M. Smith and V. Yakhot, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112094002065 274, 115 (1994).
14. M. Hossain, W. H. Matthaeus, and D. Montgomery, J. Plasma Phys. JPLPBZ 0022-3778 10.1017/S0022377800001306 30, 479 (1983).
15. H. J. H. Clercx and G. J. F. van Heijst, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.306 85, 306 (2000).
16. M. G. Wells, H. J. H. Clercx, and G. J. F. van Heijst, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112006003909 573, 339 (2007). (Pubitemid 46322140)
17. W. Kramer, H. J. H. Clercx, and G. J. F. van Heijst, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2919132 20, 056602 (2008). (Pubitemid 351784963)
18. W. Kramer, Ph.D. thesis, Eindhoven University of Technology, The Netherlands (2007).
19. G. H. Keetels, U. D'Ortona, W. Kramer, H. J. H. Clercx, K. Schneider, and G. J. F. van Heijst, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2007.07. 036 227, 919 (2007).
20. O. Daube, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(92)90411-Q 103, 402 (1992).
21. W. Kress and P. Lötstedt, Comput. Methods Appl. Mech. Eng. CMMECC 0045-7825 10.1016/j.cma.2005.09.009 195, 4433 (2006). (Pubitemid 44287667)
22. H. J. H. Clercx, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1997.5799 137, 186 (1997). (Pubitemid 127343507)
23. G. Carbou and P. Fabrie, Adv. Differ. Equ. 8, 1453 (2003).
24. G. H. Keetels, H. J. H. Clercx, and G. J. F. van Heijst, Eur. J. Mech. B/Fluids EJBFEV 0997-7546 10.1016/j.euromechflu.2009.06.004 29, 1 (2010).
25. W. J. T. Bos, S. Neffaa, and K. Schneider, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.3466030 17, 092302 (2010).
26. K. Schneider and M. Farge, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.244502 95, 244502 (2005). (Pubitemid 43272884)
27. B. Kadoch, W. J. T. Bos, and K. Schneider, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.184503 100, 184503 (2008). (Pubitemid 351669612)
28. W. J. T. Bos, S. Neffaa, and K. Schneider, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.235003 101, 235003 (2008).
29. G. H. Keetels, H. J. H. Clercx, and G. J. F. van Heijst, Physica D PDNPDT 0167-2789 10.1016/j.physd.2009.03.011 238, 1129 (2009).
30. G. H. Keetels, H. J. H. Clercx, and G. J. F. van Heijst, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.036301 78, 036301 (2008).
31. G. H. Keetels, Ph.D. thesis, Eindhoven University of Technology, The Netherlands (2008).
32. A. Babiano, C. Basdevant, and R. Sadourny, J. Atmos. Sci. 0022-4928 10.1175/1520-0469(1985)042<0941:SFADLI>2.0.CO;2 42, 941 (1985).
33. G. Boffetta, A. Celani, S. Musacchio, and M. Vergassola, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.026304 66, 026304 (2002). (Pubitemid 40618744)
34. R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.48.R29 48, 29 (1993).
35. A. Babiano, B. Dubrulle, and P. Frick, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.52.3719 52, 3719 (1995).
36. R. Benzi, G. Paladin, and A. Vulpiani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.3654 42, 3654 (1990).
37. N. Kevlahan and M. Farge, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112097006113 346, 49 (1997). (Pubitemid 28233329)
38. D. Bernard, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.60.6184 60, 6184 (1999).