Multifractal dimension of Lagrangian turbulence

Physical Review Letters

Volumn 96, Issue 11, 2006, Pages

  Xu, Haitao ^a,b   Ouellette, Nicholas T ^a   Bodenschatz, Eberhard ^a,b  

^a Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering   (United States)

^b MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

LAGRANGIAN TURBULENCE; LAGRANGIAN VELOCITY STRUCTURE; TRACER PARTICLES;

FRACTALS; LAGRANGE MULTIPLIERS; VELOCITY MEASUREMENT;

TURBULENCE;

EID: 33645153134     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.96.114503     Document Type: Article

References (21)

1. R.P. Feynman, R.B. Leighton, and M.L. Sands, The Feynman Lectures on Physics (Addison-Wesley, Reading, MA, 1963), Vol. 1.
2. B.B. Mandelbrot, J. Fluid Mech. 62, 331 (1974). JFLSA7 0022-1120
3. G. Parisi and U. Frisch, in Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics, edited by, M. Ghil, R. Benzi, and, G. Parisi, (North-Holland, Amsterdam, 1985), p. 84.
4. C. Meneveau and K.R. Sreenivasan, Phys. Rev. Lett. 59, 1424 (1987). PRLTAO 0031-9007 10.1103/PhysRevLett.59.1424
5. M.S. Borgas, Phil. Trans. R. Soc. A PTRMAD 1364-503X 342, 379 (1993).
6. U. Frisch, Turbulence: The Legacy of A.N. Kolmogorov (Cambridge University Press, Cambridge, England, 1995).
7. Z.-S. She and E. Lévêque, Phys. Rev. Lett. 72, 336 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.72.336
8. G. Boffetta, F. De Lillo, and S. Musacchio, Phys. Rev. E 66, 066307 (2002). PLEEE8 1063-651X 10.1103/PhysRevE.66.066307
9. L. Chevillard, S.G. Roux, E. Lévêque, N. Mordant, J.-F. Pinton, and A. Arnéodo, Phys. Rev. Lett. 91, 214502 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.214502
10. L. Biferale, G. Boffetta, A. Celani, B.J. Devenish, A. Lanotte, and F. Toschi, Phys. Rev. Lett. 93, 064502 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.064502
11. L.F. Richardson, Weather Prediction by Numerical Process (Cambridge University Press, Cambridge, England, 1922).
12. A.N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 301 (1941); DANKAS 0002-3264
13. also A.N. Kolmogorov Proc. R. Soc. A 434, 9 (1991). PRLAAZ 0080-4630
14. A.N. Kolmogorov, J. Fluid Mech. 13, 82 (1962). JFLSA7 0022-1120
15. C. Meneveau and K.R. Sreenivasan, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 2, 49 (1987). 10.1016/0920-5632(87)90008-9
16. A.B. Chhabra, C. Meneveau, R.V. Jensen, and K.R. Sreenivasan, Phys. Rev. A 40, 5284 (1989). PLRAAN 1050-2947 10.1103/PhysRevA.40.5284
17. P.K. Yeung, Annu. Rev. Fluid Mech. 34, 115 (2002). ARVFA3 0066-4189 10.1146/annurev.fluid.34.082101.170725
18. G.A. Voth, A. La Porta, A.M. Crawford, J. Alexander, and E. Bodenschatz, J. Fluid Mech. 469, 121 (2002). JFLSA7 0022-1120 10.1017/S0022112002001842
19. N.T. Ouellette, H. Xu, and E. Bodenschatz, Exp. Fluids 40, 301 (2006). EXFLDU 0723-4864 10.1007/s00348-005-0068-7
20. N. Mordant, A.M. Crawford, and E. Bodenschatz, Physica D (Amsterdam) 193, 245 (2004). PDNPDT 0167-2789 10.1016/j.physd.2004.01.041
21. H. Xu, M. Bourgoin, N.T. Ouellette, and E. Bodenschatz, Phys. Rev. Lett. 96, 024503 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.024503