Time-dependent geometry and energy distribution in a spiral vortex layer

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 59, Issue 5, 1999, Pages 5427-5439

  Angilella, J R ^a   Vassilicos, J C ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0001230368     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.5427     Document Type: Article

References (37)

1. O. Cadot, S. Douady, and Y. Couder, Phys. Fluids 7, 630 (1995).
2. Z. S. She, E. Jackson, and S. A. Orszag, Nature (London) 344, 226 (1990).
3. G. R. Ruetsch and M. R. Maxey, Phys. Fluids A 3, 1587 (1991).
4. A. P. Vincent and M. Meneguzzi, J. Fluid Mech. 225, 1 (1991).
5. J. Jiménez, A. A. Wray, P. G. Saffman, and R. S. Rogallo, J. Fluid Mech. 255, 65 (1993).
6. P. G. Saffman, Vortex Dynamics (Cambridge University Press, Cambridge, England, 1992).
7. M. Meneguzzi and A. Vincent, J. Fluid Mech. 258, 245 (1994).
8. T. S. Lundgren, Phys. Fluids A 5, 1472 (1993).
9. T. S. Lundgren, Phys. Fluids 25, 2193 (1982).
10. S. J. Lin and G. M. Corcos, J. Fluid Mech. 153, 31 (1984).
11. J. C. Neu, J. Fluid Mech. 143, 253 (1984).
12. T. Passot, H. Politano, P. L. Sulem, J. R. Angilella, and M. Meneguzzi, J. Fluid Mech. 282, 313 (1995).
13. F. Nicolleau and J. C. Vassilicos, Philos. Trans. R. Soc. (to be published).
14. J. C. Vassilicos, Phys. Rev. E 52, 5753 (1995).
15. P. Flohr and J. C. Vassilicos, J. Fluid Mech. 348, 295 (1997).
16. J. R. Angilella and J. C. Vassilicos, Physica D 124, 23 (1998).
17. H. K. Moffatt, in Turbulence and Chaotic Phenomena in Fluids, edited by T. Tatsumi (Elsevier, Amsterdam, 1984), p. 223.
18. A. D. Gilbert, J. Fluid Mech. 193, 475 (1988).
19. A. D. Gilbert, Phys. Fluids 5, 2831(1993).
20. J. C. Vassilicos and J. C. R. Hunt, Proc. R. Soc. London, Ser. A 435, 505 (1991).
21. M. Farge, Annu. Rev. Fluid Mech. 24, 395 (1992).
22. C. Meneveau, J. Fluid Mech. 232, 469 (1991).
23. T. Kambe, Physica D 37, 463 (1989).
24. K. J. Falconer, Fractal Geometry—Mathematical Foundations and Applications (Wiley, New York, 1990).
25. D. I. Pullin and P. G. Saffman, Phys. Fluids A 5, 126 (1993).
26. J. C. Vassilicos and J. G. Brasseur, Phys. Rev. E 54, 467 (1996).
27. R. Krasny, J. Comput. Phys. 65, 292 (1986).
28. R. Krasny, Fluid Dyn. Res. 3, 93 (1988).
29. D. W. Moore, Proc. R. Soc. London, Ser. A 365, 105 (1979).
30. H. K. Moffatt, in Fractals, Wavelets and Fourier Transforms: New Developments and New Applications, edited by M. Farge, J. C. Hunt and J. C. Vassilicos (Clarendon Press, Oxford, 1993), pp. 317–324.
31. R. M. Everson and K. R. Sreenivasan, Proc. R. Soc. London, Ser. A 437, 391 (1992).
32. C. Gasquet and P. Witomski, Analyse de Fourier et applications (Masson, Paris, 1990).
33. J. C. R. Hunt, N. K. Kevlahan, J. C. Vassilicos, and M. Farge, in Fractals, Wavelets and Fourier Transforms: New Developments and New Applications (Ref. 30), pp. 1–38.
34. D. W. Moore and P. G. Saffman, Proc. R. Soc. London, Ser. A 333, 491 (1973).
35. P. B. Rhines and W. R. Young, J. Fluid Mech. 133, 133 (1983).
36. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1965).
37. N. A. Malik and J. C. Vassilicos, J. Fluid Mech. 326, 417 (1996).