A simple dynamical model of intermittent fully developed turbulence

Journal of Fluid Mechanics

Volumn 87, Issue 4, 1978, Pages 719-736

  Frisch, Uriel ^a   Sulem, Pierre Louis ^b   Nelkin, Mark ^b  

^a UNIVERSITÉ CÔTE D'AZUR   (France)

^b Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001250839     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112078001846     Document Type: Article

References (51)

1. Batchelor, G. K. 1953 Theory of Homogeneous Turbulence. Cambridge University Press.
2. Batchelor, G. K. 1969 Phys. Fluids Suppl. 12, II, 233.
3. Batchelor, G. K. & Townsend, A. A. 1949 Proc. Roy. Soc. A 199, 238.
4. Bell, T. L. & Nelkin, M. 1977 Phys. Fluids 20, 345.
5. Corrsin, S. 1962 Phys. Fluids 5, 1301.
6. Corrsin, S. & Kistler, A. L. 1954 N.A.C.A. Tech. Note no. 1242.
7. Forster, D., Nelson, D. & Stephen, M. 1976 Phys. Rev. Lett. 36, 867.
8. Forster, D., Nelson, D. & Stephen, M. 1977 Phys. Rev. A 16, 732.
9. Frisch, U., Lesieur, M. & Sulem, P. L. 1976 Phys. Rev. Lett. 37, 895.
10. Gibson, C. H., Stegen, G. R. & Mcconnell, S. 1970 Phys. Fluids 13, 2448.
11. Johnson, D. H. 1975 Cornell Univ. Materials Sci. Center Rep. no. 2458.
12. Kahane, J. P. 1976 In Turbulence and Navier–Stokes Equation (ed. R. Temam). Lecture Notes in Math. vol. 565, p. 94. Springer.
13. Kolmogorov, A. N. 1941 C. R. Acad. Sci. USSR 30, 301, 538.
14. Kolmogorov, A. N. 1962 J. Fluid Mech. 13, 82.
15. Kraichnan, R. 1967 Phys. Fluids 10, 1417.
16. Kraichnan, R. 1971 J. Fluid Mech. 47, 525.
17. Kraichnan, R. 1972 In Statistical Mechanics: New Concepts, New Problems, New Applications (ed. S. A. Rice, K. F. Freed & J. C. Light), p. 201. University of Chicago.
18. Kraichnan, R. H. 1974 J. Fluid Mech. 62, 305.
19. Kraichnan, R. H. 1975 J. Fluid Mech. 67, 155.
20. Kuo, A. Y. & Corrsin, S. 1971 J. Fluid Mech. 50, 285.
21. Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics, p. 126. Addison-Wesley.
22. Léorat, J. 1975 thesis, Observatoire de Meudon, France.
23. Ma, S. 1976 Modern Theory of Critical Phenomena. Frontiers in Physics. Benjamin.
24. Mandelbrot, B. 1972 In Statistical Models and Turbulence (ed. M. Rosenblatt & C. Van Atta), pp. 333–351. Springer.
25. Mandelbrot, B. 1974 J. Fluid Mech. 62, 331.
26. Mandelbrot, B. 1975 Les Objets Fractals: Forme, Hasard et Dimension. Paris: Flammarion (revised English edition: Fractals: Form, Chance and Dimension. San Fransisco: W. H. Freeman, 1977).
27. Mandelbrot, B. 1976 In Turbulence and Navier–Stokes equation (ed. R. Temam). Lecture Notes in Math. vol. 565, p. 121. Springer.
28. Monin, A. S. & Yaglom, A. M. 1975 Statistical Fluid Mechanics, vol. 2. M.I.T. Press.
29. Nakano, T. 1976 Intermittency in the inertial region of turbulence. Preprint.
30. Nelkin, M. 1973 Phys. Rev. Lett. 30, 1029.
31. Nelkin, M. 1974 Phys. Rev. A9, 388.
32. Nelkin, M. 1975 Phys. Rev. A11, 1737.
33. Nelkin, M. & Bell, T. L. 1978 Phys. Rev. A17, 363.
34. Novikov, E. A. 1971 Prikl. Math. Mech. 35, 266.
35. Novikov, E. A. & Stewart, R. W. 1964 Isv. Akad. Nauk USSR, Ser. Geophys. no. 3, p. 408.
36. Oboukhov, A. M. 1962 J. Fluid Mech. 13, 77.
37. Onsager, L. 1949 Nuovo Cimento Suppl. 6, 279.
38. Orszag, S. A. & Patterson, G. S. 1972 Lecture Notes in Phys. vol. 12, p. 127. Springer.
39. Orszag, S. 1977 Proc. Les Houches 1973 (ed. R. Balian), p. 235. Gordon & Breach.
40. Pouquet, A. 1978 J. Fluid Mech. 88, 1.
41. Pouquet, A., Lesieur, M., André, J. C. & Basdevant, C. 1975 J. Fluid Mech. 72, 305.
42. Rose, H. A. 1977 J. Fluid Mech. 81, 719.
43. Rose, H. A. & Sulem, P. L. 1978 J. Phys. (Paris) May 1978.
44. Saffman, P. 1968 In Topics in Non-linear Physics (ed. N. Zabusky), p. 485. Springer.
45. Siggia, E. D. 1977 Phys. Rev. A 15, 1730.
46. Siggia, E. D. 1978 Phys. Rev. A17, 1166.
47. Sulem, P. L. & Frisch, U. 1975 J. Fluid Mech. 72, 417.
48. Tennekes, H. 1968 Phys. Fluids 11, 669.
49. Van Atta, C. W. & Park, J. 1972 In Statistical Models and Turbulence (ed. M. Rosenblatt & C. Van Atta), pp. 402–426. Springer.
50. Wilson, K. G. & Kogut, J. 1974 Phys. Rep. C 12, 76.
51. Yaglom, A. M. 1966 Dokl. Akad. Nauk SSSR 166, 49–52. (English trans. Sov. Phys. Dokl. 2, 26–29.)