Simulations of a randomly advected passive scalar field

Physics of Fluids

Volumn 10, Issue 11, 1998, Pages 2867-2884

  Chen, Shiyi ^a   Kraichnan, Robert H ^b  

^a CENTER FOR NONLINEAR STUDIES   (United States)

^b NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000483213     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869808     Document Type: Article

References (50)

1. R. H. Kraichnan, "Anomalous scaling of a randomly advected passive scalar," Phys. Rev. Lett. 72, 1016 (1994).
2. V. S. L'vov, I. Procaccia, and A. L. Fairhall, "Anomalous scaling in fluid mechanics: the case of the passive scalar," Phys. Rev. E 50, 4684 (1994).
3. B. I. Shraiman and E. D. Siggia, "Lagrangian path integrals and fluctuations in random flow," Phys. Rev. E 49, 2912 (1994).
4. M. Chertkov, G. Falkovich, I. Kolokolov, and V. Lebedev, "Statistics of a passive scalar advected by a large-scale two-dimensional velocity field: Analytic solution," Phys. Rev. E 51, 5609 (1995).
5. M. Chertkov, G. Falkovich, I. Kolokolov, and V. Lebedev, "Normal and anomalous scaling of the 4th-order correlation function of a randomly advected passive scalar," Phys. Rev. E 52, 4924 (1995); M. Chertkov and G. Falkovich, "Anomalous scaling exponents of a white-advected passive scalar," Phys. Rev. Lett. 76, 2706 (1996)
6. M. Chertkov, G. Falkovich, I. Kolokolov, and V. Lebedev, "Normal and anomalous scaling of the 4th-order correlation function of a randomly advected passive scalar," Phys. Rev. E 52, 4924 (1995); M. Chertkov and G. Falkovich, "Anomalous scaling exponents of a white-advected passive scalar," Phys. Rev. Lett. 76, 2706 (1996)
7. . 6 A. Fairhall, O. Gat, V. L'vov, and I. Procaccia, "Anomalous scaling in a model of passive scalar advection: Exact results," Phys. Rev. E 53, 3518 (1996).
8. K. Gawȩdzki and A. Kupiainen, "Anomalous scaling of the passive scalar," Phys. Rev. Lett. 75, 3637 (1995).
9. R. H. Kraichnan, V. Yakhot, and S. Chen, "Scaling relations for a randomly advected passive scalar field," Phys. Rev. Lett. 75, 240 (1995).
10. B. I. Shraiman and E. D. Siggia, "Anomalous scaling of a passive scalar in turbulent flow," C. R. Acad. Sci., Ser. IIb: Mec., Phys., Chim., Astron. 321, 279 (1995).
11. A. Pumir, "Anomalous scaling behavior of a passive scalar in the presence of a mean gradient," Europhys. Lett. 34, 25 (1996).
12. D. Bernard, K. Gawȩdzki, and A. Kupiainen, "Anomalous scaling in the n-point functions of a passive scalar," Phys. Rev. E 54, 2564 (1996).
13. D. Segel, V. L'vov, and I. Procaccia, "Extended similarity in turbulent systems: An analytically soluble example," Phys. Rev. Lett. 76, 1828 (1996).
14. G. L. Eyink, "Intermittency and anomalous scaling of passive scalars in any space dimension," Phys. Rev. E 54, 1497 (1996).
15. E. S. C. Ching, V. S. L'vov, Evgeni Podivilov, and I. Procaccia, "Condi-tional statistics in scalar turbulence: theory versus experiment," Phys. Rev. E 54, 6364 (1996).
16. A. Wirth and L. Biferale, "Anomalous scaling in random shell models for passive scalars," Phys. Rev. E 54, 4982 (1996).
17. G. Eyink and J. Xin, "Dissipation independence of the inertial-convective range in a passive scalar model," Phys. Rev. Lett. 77, 2674 (1996).
18. U. Frisch and A. Wirth, "Inertial-diffusive range for a passive scalar advected by a white-in-time velocity field," Europhys. Lett. 35, 683 (1996).
19. D. Bernard, K. Gawȩdzki, and A. Kupiainen, "Anomalous scaling in the n-point functions of a passive scalar," Phys. Rev. E 54, 2564 (1996).
20. V. Yakhot, "Passive scalar advected by a rapidly changing random velocity field: Probability density of scalar differences," Phys. Rev. E 55, 329 (1997).
21. O. Gat, V. S. L'vov, E. Podivilov, and I. Procaccia, "Non-perturbative zero modes in the Kraichnan model for turbulent advection," Phys. Rev. E 55, R3836 (1997).
22. R. Benzi, L. Biferale, and A. Wirth, "Analytic calculation of anomalous scaling in random shell models for a passive scalar," Phys. Rev. Lett. 78, 4926 (1997).
23. E. S. C. Ching, "Refined similarity hypothesis for a randomly advected passive scalar," Phys. Rev. Lett. 79, 3644 (1997).
24. R. H. Kraichnan, "Passive scalar: scaling exponents and realizability," Phys. Rev. Lett. 78, 4922 (1997).
25. A. L. Fairhall, B. Galanti, V. S. L'vov, and I. Procaccia, "Direct numerical simulations of the Kraichnan model: Scaling exponents and fusion rules," Phys. Rev. Lett. 79, 4166 (1997).
26. A. Pumir, B. I. Shraiman, and E. D. Siggia, "Perturbation theory for the δ-correlated model of passive scalar advection near the Batchelor limit," Phys. Rev. E 55, 1263 (1997).
27. N. Cao and S. Chen, "An intermittency model for passive-scalar turbulence," Phys. Fluids 9, 1203 (1997).
28. M. Chertkov, I. Kolokolov, and M. Vergassola, "Inverse cascade and intermittency of passive scalar in one-dimensional smooth flow," chao-dyn/9706017.
29. M. Vergassola and A. Mazzino, "Structures and intermittency in a passive scalar model," Phys. Rev. Lett. 79, 1849 (1997).
30. O. Gat and R. Zeitak, "Multiscaling in passive scalar advection as stochastic shape dynamics," preprint cond-mat/9711034, 1997.
31. O. Gat, V. S. L'vov, and I. Procaccia, "Perturbative and nonperturbative analysis of the 3rd-order zero modes in the Kraichnan model for turbulent advection," Phys. Rev. E 56, 406 (1997).
32. M. Chertkov, "Instanton for random advection," Phys. Rev. E 55, 2722 (1997).
33. A. Pumir, "Determination of the 3-point correlation function of a passive scalar in the presence of a mean gradient," Europhys. Lett. 37, 529 (1997).
34. K. Gawedzki, "Inverse renormalization-group analysis of a model of turbulent advection," Nucl. Phys. B S58, 123 (1997).
35. D. Gutman, "Passive scalar advected by a very irregular random velocity field," Phys. Rev. E 56, 2279 (1997).
36. E. Balkovsky and V. Lebedev, "Instanton for the Kraichnan passive scalar problem," preprint chao-dyn/9803018, 1998.
37. M. Chertkov, G. Falkovich, and I. Kolokolov, "Intermittent dissipation of a passive scalar in turbulence," Phys. Rev. Lett. 80, 2121 (1998).
38. U. Frisch, A. Mazzino, and M. Vergassola, "Intermittency in passive scalar advection," Phys. Rev. Lett. 80, 5532 (1998).
39. O. Gat, I. Procaccia, and R. Zeitak, "Anomalous scaling in passive scalar advection: Monte Carlo Lagrangian trajectories," Phys. Rev. Lett. 80, 5536 (1998).
40. B. I. Shraiman and E. D. Siggia, "Anomalous scaling for a passive scalar near the Batchelor limit," Phys. Rev. E 57, 2965 (1998).
41. K. Gawedzki, "Intermittency of passive advection," preprint chao-dyn/ 9803027, 1998.
42. A. Pumir, "Structure of the three-point correlation function of a passive scalar in the presence of a mean gradient," Phys. Rev. E 57, 2914 (1998).
43. S. Chen and R. H. Kraichnan, "Inhibition of turbulent cascade by sweep," J. Plasma Phys. 57, 187 (1997).
44. S. Chen and N. Cao, "Anomalous scaling and structure instability in three-dimensional passive scalar turbulence," Phys. Rev. Lett. 78, 3459 (1997).
45. R. A. Antonia, E. J. Hopfinger, Y. Gagne, and F. Anselmet, Phys. Rev. A 30, 2704 (1984).
46. A. L. Fairhall, B. Dhruva, V. S. L'vov, I. Procaccia, and K. R. Sreenivasan, "Fusion rules in Navier-Stokes turbulence: first experimental tests," Phys. Rev. Lett. 79, 3174 (1997).
47. A quadratic dependence of the conditional mean is associated with shocks in Burgers equation (see Ref. 10).
48. R. H. Kraichnan, "Passive-scalar convection by a quasi-uniform random straining field," J. Fluid Mech. 64, 737 (1974).
49. U. Frisch (private communication).
50. M. Chertov and G. Falkovich (private communication).