Helical shell models for three-dimensional turbulence

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

Volumn 53, Issue 4, 1996, Pages 3541-3550

  Benzi, R ^a,b,c   Biferale, L ^a,b,c   Kerr, R M ^a,b,c   Trovatore, E ^a,b,c  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

^b NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

^c UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; FLUID STRUCTURE INTERACTION; FOURIER TRANSFORMS; INTEGRATION; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; NUMERICAL ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; THREE DIMENSIONAL;

CONTINUUM LIMIT; HELICAL SHELL MODELS; NEGATIVE HELICITY; ONE TRIAD SYSTEMS; POSITIVE HELICITY;

TURBULENCE;

EID: 0030120625     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.3541     Document Type: Article

References (39)

1. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR30, 9 (1941).
2. C. Meneveau and K. R. Sreenivasan, J. Fluid Mech.224, 429 (1991).
3. R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, C. Massaioli and S. Succi, Phys. Rev. E48, R29 (1993).
4. R. Benzi, S. Ciliberto, C. Baudet and G. R. Chavarria, Physica D80, 385 (1994).
5. R. M. Kerr, J. Fluid Mech.153, 31 (1985).
6. L.-P. Wang, S. Chen, J. G. Brasseur and J. C. Wyngaard, J. Fluid Mech.309, 113 (1994).
7. R. M. Kerr, J. Fluid Mech.211, 309 (1990).
8. R. Benzi, G. Paladin, G. Parisi and A. Vulpiani, J. Phys. A17, 3521 (1984).
9. C. Meneveau and K. R. Sreenivasan, Phys. Rev. Lett.59, 1424 (1987).
10. Z. S. She and E. Leveque, Phys. Rev. Lett.72, 336 (1994).
11. B. Dubrulle, Phys. Rev. Lett.73, 959 (1994).
12. E. B. Gledzer, Dokl. Akad. Nauk SSSR208, 1046 (1973) [Sov. Phys. Dokl.18, 216 (1973)].
13. M. Yamada and K. Ohkitani, Prog. Theor. Phys.81, 329 (1989);
14. J. Phys. Soc. Jpn.56, 4210 (1987)
15. Phys. Rev. Lett.60, 983 (1988)
16. Prog. Theor. Phys.79, 1265 (1988).
17. M. H. Jensen, G. Paladin and A. Vulpiani, Phys. Rev. A43, 798 (1991).
18. L. Biferale, A. Lambert, R. Lima and G. Paladin, Physica D80, 105 (1995).
19. D. Pisarenko, L. Biferale, D. Courvoisier, U. Frisch and M. Vergassola, Phys. Fluids A65, 2533 (1993).
20. L. Kadanoff, D. Lohse, J. Wang and R. Benzi, Phys. Fluids7, 617 (1995).
21. L. Biferale and R. Kerr, Phys. Rev. E52, 6113 (1995).
22. J. C. André and M. Lesieur, J. Fluid Mech.81, 187 (1977).
23. W. Polifke and L. Shtilman, Phys. Fluids A1, 2025 (1989).
24. R. M. Kerr and E. D. Siggia, J. Stat. Phys.19, 543 (1978).
25. F. Waleffe, Phys. Fluids A4, 350 (1992).
26. P. Frick, B. Dubrulle and A. Babiano, Phys. Rev. E51, 5582 (1995).
27. E. Aurell, G. Boffetta, A. Crisanti, P. Frick, G. Paladin and A. Vulpiani, Phys. Rev. E50, 4705 (1994).
28. P. D. Ditlevsen and I. A. Mogensen (unpublished).
29. N. Schoerghofer, L. Kadanoff and D. Lohse, Physica D86, 1 (1995).
30. G. Parisi (unpublished).
31. D. Lohse (private communication).
32. R. Benzi, L. Biferale, and E. Trovatore (unpublished).
33. F. Waleffe, Phys. Fluids A5, 677 (1993).
34. R. Kraichnan, J. Fluid Mech.59, 745 (1973).
35. S. Grossman and D. Lohse, Phys. Rev. E50, 2784 (1994).
36. O. Gat, I. Procaccia and R. Zeitak, Phys. Rev. E51, 1148 (1995).
37. Z.-S. She, E. Jackson and S. O. Orszag, Proc. R. Soc. London Ser. A434, 101 (1991).
38. R. M. Kerr, Phys. Fluids A5, 1725 (1993).
39. G. Parisi and U. Frisch, in Turbulence and Predictability in Geophysical Fluid Dynamics, Proceedings of the International School of Physics ``Enrico Fermi,” Course LVII, Varenna, 1983, edited by M. Ghil, R. Benzi, and G. Parisi (North-Holland, Amsterdam, 1985), p. 84.