Lagrangian dynamics and high-order moments intermittency in passive scalar advection

Physics and Chemistry of the Earth, Part B: Hydrology, Oceans and Atmosphere

Volumn 24, Issue 8, 1999, Pages 945-951

  Frisch, U ^a   Mazzino, A ^a,b   Vergassola, M ^a  

^a UNIVERSITÉ CÔTE D'AZUR   (France)

^b UNIVERSITY OF GENOA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION; LAGRANGIAN ANALYSIS; NUMERICAL METHOD;

EID: 0033380708     PISSN: 14641909     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1464-1909(99)00108-2     Document Type: Article

References (24)

1. Balkovsky, E., Falkovich, G., and Lebedev, V., Three-point correlation function of a scalar mixed by an almost smooth random velocity field, Phys. Rev. E, 55, R4881-R4884, 1997.
2. Balkovsky, E., and Lebedev, V., Instanton for the Kraichnan PasSive Scalar Problem, Chao-Dyn/9803018, 1998.
3. Bernard, D., Gawȩdzki, K., and Kupiainen, A., Slow modes in passive advection, cond-math/9706035, J. Stat. Phys (in press) 1998.
4. Chen, S., and Kraichnan, R.H., Simulations of a Randomly Advected Passive Scalar Field, preprint, March 1998.
5. Chertkov, M., Falkovich, G., Kolokolov, I., and Lebedev, V., Normal and anomalous scaling of the fourth-order correlation function of a randomly advected passive scalar, Phys. Rev. E, 2, 4924-4941, 1995.
6. Chertkov, M., Instanton for random advection, Phys. Rev. E, 55, 2722-2735, 1997.
7. Fairhall, A.L., Galanti, B., L'vov, V.S., and Procaccia, I., Direct numerical simulations of the Kraichnan model: Scaling exponents and fusion rules, Phys. Rev. Lett., 79, 4166-4169, 1997.
8. Frisch, U., Turbulence. The Legacy of A. N. Kolmogorov. Cambridge Univ. Press, Cambridge, 1995.
9. Frisch, U., Mazzino, A., and Vergassola, M., Intermittency in passive scalar advection, Phys. Rev. Lett., 80, 5532, 1998.
10. Gat, O., L'vov, V., Podivilov, E., and Procaccia, I., Nonperturbative zero modes in the Kraichnan model for turbulent advection, Phys. Rev. E, 55, R3836-R3839, 1997.
11. Gat, O., Procaccia, I., and Zeitak, R., Anomalous scaling in passive scalar advection: Monte Carlo Lagrangian trajectories, Phys. Rev. Lett., 80, 5536, 1998.
12. Gawȩdzki, K., and Kupiainen, A., Anomalous scaling of the passive scalar, Phys. Rev. Lett., 75, 3834-3837, 1995.
13. Holzer, M., and Siggia, E.D., Turbulent mixing of a passive scalar, Phys. Fluids, 6, 1820-1837, 1994.
14. Kloeden, P.E., and Platen, E., Numerical Solution of Stochastic Differential Equations, Springer, 1992.
15. Kraichnan, R.H., Small-scale structure of a scalar field convected by turbulence, Phys. Fluids, 11, 945-953, 1968.
16. Kraichnan, R.H., Anomalous scaling of a randomly advected passive scalar, Phys. Rev. Lett., 52, 1016-1019, 1994.
17. Kraichnan, R.H., Passive scalar: Scaling exponents and realizability, Phys. Rev. Lett., 78, 4922-4925, 1997.
18. Pumir, A., A numerical study of the mixing of a passive scalar in three dimensions in the presence of a mean gradient, Phys. Fluids, 6, 2118-2132, 1994.
19. Pumir, A., Shraiman, B., and Siggia, E.D., Perturbation theory for the δ-correlated model of passive scalar advection near the batchelor limit, Phys. Rev. E, 55, 1263-1266, 1997.
20. Shraiman, B.I., and Siggia, E.D., Anomalous scaling of a passive scalar in turbulent flow, C.R. Acad. Sci. Paris, 321, Série II, 279-284, 1995.
21. Shraiman, B., and Siggia, E.D., Symmetry and scaling of turbulent mixing, Phys. Rev. Lett., 77, 2463-2466, 1996.
22. Sreenivasan, K.R., On local isotropy of passive scalars in turbulent shear flows, Proc. R. Soc. London, A434, 165-182, 1991.
23. Vergassola, M., Anomalous scaling for passively advected magnetic fields, Phys. Rev. E, 53, R3021-R3024, 1996.
24. Yakhot, V., Passive scalar advected by a rapidly changing random velocity field: Probability density of scalar differences, Phys. Rev. E, 55, 329-336, 1997.