Spectral reduction: A statistical description of turbulence

Physical Review Letters

Volumn 83, Issue 26, 1999, Pages 5491-5494

  Bowman, John C ^a   Shadwick, B A ^b,c   Morrison, P J ^d  

^a UNIVERSITY OF ALBERTA   (Canada)

^b Institute for Advanced Physics   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d The University of Texas at Austin   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000418287     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.83.5491     Document Type: Article

References (25)

1. J. C. Bowman, B. A. Shadwick, and P. J. Morrison, in Transport, Chaos, and Plasma Physics 2, Marseille, 1995.
2. S. Benkadda, F. Doveil, and Y. Elskens (World Scientific, New York, 1996), pp. 58-73.
3. R. H. Kraichnan, in Theoretical Approaches to Turbulence, Vol. 58 of Applied Mathematical Sciences Series
4. D. L. Dwoyer, M. Y. Hussaini, and R. G. Voigt (Springer, New York, 1985), Chap. V, p. 91.
5. T. Williams, E. R. Tracy, and G. Vahala, Phys. Rev. Lett., 59, 1922 (1987).
6. R. H. Kraichnan and S. Chen, Physica (Amsterdam), 37D, 160 (1989).
7. Z.-S. She and E. Jackson, Phys. Rev. Lett., 70, 1255 (1993).
8. E. N. Lorenz, J. Fluid Mech., 55, 545 (1972).
9. J. Lee, Physica (Amsterdam), 37D, 417 (1989).
10. E. Vázquez-Semadeni and J. Scalo, Phys. Rev. Lett., 68, 2921 (1992).
11. S. Grossmann and D. Lohse, Z. Phys. B, 89, 11 (1992).
12. V. Yakhot and S. A. Orszag, J. Sci. Comput., 1, 3 (1986).
13. J. C. Bowman, Ph.D. thesis, Princeton University, Princeton, NJ, 1992.
14. J. C. Bowman, J. Sci. Comput., 11, 343 (1996).
15. J. C. Bowman and J. A. Krommes, Phys. Plasmas, 4, 3895 (1997).
16. P. J. Morrison, Rev. Mod. Phys., 70, 467 (1998).
17. S. A. Orszag, J. Fluid Mech., 41, 363 (1970).
18. G. F. Carnevale, U. Frisch, and R. Salmon, J. Phys. A, 14, 1701 (1981).
19. J. C. Bowman, B. A. Shadwick, and P. J. Morrison, in 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, Berlin (Wissenschaft & Technik, Berlin, 1997), pp. 595-600.
20. B. A. Shadwick, J. C. Bowman, and P. J. Morrison, SIAM J. Appl. Math., 59, 1112 (1999).
21. A. N. Kolmogorov, C. R. Acad. Sci. U.S.S.R., 30, 301 (1941).
22. R. H. Kraichnan, J. Fluid Mech., 47, 525 (1971).
23. J. C. Bowman, J. Fluid Mech., 306, 167 (1996).
24. G. Falkovich and V. Lebedev, Phys. Rev. E, 50, 3883 (1994).
25. J. Paret, M.-C. Jullien, and P. Tabeling, Phys. Rev. Lett., 83, 3418 (1999).