Statistics of velocity gradients in two-dimensional Navier-Stokes and ocean turbulence

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

Volumn 65, Issue 2, 2002, Pages

  Schorghofer, Norbert ^a   Gille, Sarah T ^b  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LAGRANGIAN STATISTICS; OCEAN TURBULENCE; VELOCITY CORRELATIONS; VELOCITY GRADIENTS;

COMPUTER SIMULATION; CORRELATION METHODS; ENERGY DISSIPATION; LAGRANGE MULTIPLIERS; NAVIER STOKES EQUATIONS; OCEANOGRAPHY; PROBABILITY DENSITY FUNCTION; SATELLITES; STATISTICS; VELOCITY MEASUREMENT;

TURBULENCE;

EID: 41349119785     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.026307     Document Type: Article

References (34)

1. A.S. Monin and A.M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, MA, 1975).
2. C. Wunsch and D. Stammer, Annu. Rev. Earth Planet Sci. 26, 219 (1998).
3. P.B. Rhines, Annu. Rev. Fluid Mech. 11, 401 (1979).
4. J.C. McWilliams, J. Fluid Mech. 146, 21 (1984).
5. M.M. Yale, D.T. Sandwell, and W.H.F. Smith, J. Geophys. Res. - Solid Earth 100, 15 117 (1995).
6. R.H. Stewart, C.K. Shum, B. Tapley, and L. Ji, Physica D 98, 599 (1996).
7. S.G. Llewellyn Smith and S.T. Gille, Phys. Rev. Lett. 81, 5249 (1998).
8. S.T. Gille and S.G. Llewellyn Smith, J. Phys. Oceanogr. 30, 125 (2000).
9. S. Houry, E. Dombrowsky. P. DeMey, and J.-F. Minster, J. Phys. Oceanogr. 17, 1619 (1987).
10. D. Stammer, J. Phys. Oceanogr. 27, 1743 (1997).
11. A. Bracco, J.H. LaCasce, and A. Provenzale, J. Phys. Oceanogr. 30, 461 (2000).
12. W.G. Large, W.R. Holland, and J.C. Evans, J. Phys. Oceanogr. 21, 998 (1991).
13. C.K. Wikle, R.F. Miliff, and W.G. Large, J. Atmos. Sci. 56, 2222 (1999).
14. N. Schorghofer, Phys. Rev. E 61, 6568 (2000).
15. N. Schorghofer, Phys. Rev. E 61, 6572 (2000).
16. U. Frisch, Turbulence (Cambridge University Press, Cambridge, England, 1995).
17. S. Kida and Y. Murakami, Fluid Dyn. Res. 4, 347 (1989).
18. R.H. Kraichnan, Phys. Rev. Lett. 65, 575 (1990).
19. A. Vincent and M. Meneguzzi, J. Fluid Mech. 225, 1 (1991).
20. K. Yamamoto and T. Kambe, Fluid Dyn. Res. 8, 65 (1991).
21. U. Frisch and Z.S. She, Fluid Dyn. Res. 8, 139 (1991).
22. R. Benzi, L. Biferale, G. Paladin, A. Vulpiani, and M. Vergassola, Phys. Rev. Lett. 67, 2299 (1991).
23. S. Chen, G.D. Doolen, R.H. Kraichnan, and Z.S. She, Phys. Fluids A 5, 458 (1993).
24. F. Belin, J. Maurer, P. Tabeling, and H. Willaime, Phys. Fluids 9, 3843 (1997).
25. H.S. Shafi, Y. Zhu, and R.A. Antonia, Fluid Dyn. Res. 19, 169 (1997).
26. J. Jimenez, J. Fluid Mech. 313, 223 (1996).
27. I.A. Min, I. Mezic, and A. Leonard, Phys. Fluids 8, 1169 (1996).
28. G. L. Mellor, Introduction to Physical Oceanography (Springer-Verlag, New York, 1996).
29. H. Takahashi and T. Gotoh, Proc. Res. Inst. Math. Sci. (Kyoto Univ.) 972, 163 (1996).
30. B.N. Kuvshinov and T.J. Schep, Phys. Rev. Lett. 84, 650 (2000).
31. P.H. Chavanis and C. Sire, Phys. Rev. E 62, 490 (2000).
32. P.H. Chavanis and C. Sire, Phys. Fluids 13, 1904 (2001).
33. P. Arroyo, G. Pedrizzetti, C. Vasco, and J. Jimenez, in Advances in Turbulence V, edited by R. Benzi (Kluwer, Dordrecht, 1995), p. 11.
34. G. K. Batchelor, The Theory of Homogeneous Turbulence (Cambridge University Press, Cambridge, England, 1953).