Lagrangian conditional statistics, acceleration and local relative motion in numerically simulated isotropic turbulence

Journal of Fluid Mechanics

Volumn 582, Issue , 2007, Pages 399-422

  Yeung, P K ^a   Pope, S B ^b   Kurth, E A ^a   Lamorgese, A G ^b,c  

^a Georgia Institute of Technology   (United States)

^b Cornell University   (United States)

^c STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOCORRELATION; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; FLOW FIELDS; FLOW VELOCITY; FLUID MECHANICS; LAGRANGE MULTIPLIERS; REYNOLDS NUMBER; STATISTICAL METHODS; TURBULENT FLOW;

ISOTROPIC TURBULENCE; LAGRANGIAN CONDITIONAL STATISTICS; LOCAL RELATIVE MOTION; VELOCITY AUTOCORRELATIONS;

TURBULENCE;

AUTOCORRELATION; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; FLOW FIELDS; FLOW VELOCITY; FLUID MECHANICS; LAGRANGE MULTIPLIERS; REYNOLDS NUMBER; STATISTICAL METHODS; TURBULENCE; TURBULENT FLOW;

DATABASE; EULERIAN ANALYSIS; FLOW FIELD; FLOW VELOCITY; FLUID FLOW; LAGRANGIAN ANALYSIS; NUMERICAL METHOD; REYNOLDS NUMBER; SIMULATION; TURBULENCE; VORTICITY;

EID: 34548171209     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007006064     Document Type: Article

References (49)

1. BEC, J., BIFERALE, L., CENCINI, M., LANOTTE, A. & TOSCHI, F. 2006 Effect of vortex filaments on the velocity of tracers and heavy particles in turbulence. Phys. Fluids 18, 081702.
2. BERG, J., LUTHI, B., MANN, J. & OTT, S. 2006 Backwards and forwards relative dispersion in turbulent flow: An experimental investigation. Phys. Rev. E 74, 016304.
3. BIFERALE, L. & TOSCHI, F. 2006 Joint statistics of acceleration and vorticity in fully developed turbulence. J. Turbulence 6 (10), 1-8.
4. BIFERALE, L., BOFFETTA, G., CELANI, A., DEVENISH, B. J., LANOTTE, A. & TOSCHI, F. 2004 Multifractal statistics of Lagrangian velocity and acceleration in turbulence. Phys. Rev. Lett. 93, 064502.
5. BIFERALE, L., BOFFETTA, G., CELANI, A., LANOTTE, A. & TOSCHI, F. 2005 Particle trapping in three-dimensional fully developed turbulence. Phys. Fluids 17, 021701.
6. CHEN, S., SREENIVASAN, K. R. & NELKIN, M. 1997 Inertial range scalings of dissipation and enstrophy in isotropic turbulence. Phys. Rev. Lett. 79, 1253-1256.
7. CHEVILLARD, L., ROUX, S. G., LEVEQUE, E., MORDANT, N., PINTON, J. F. & ARNEO, A. 2003 Lagrangian velocity statistics in turbulent flows: effects of dissipation. Phys. Rev. Lett. 91, 214502.
8. CRAWFORD, A. M., MORDANT, N. & BODENSCHATZ, E. 2005 Joint statistics of the Lagrangian acceleration and velocity in fully developed turbulence. Phys. Rev. Lett. 94, 024501.
9. ESWARAN, V. & POPE, S. B. 1988 An examination of forcing in direct numerical simulations of turbulence. Computers Fluids 16, 257-278.
10. GUALA, M., LIBERZON, A., KINZELBACH, W. & TSINOBER, A. 2006 Stretching and tilting of material lines in turbulence: The effect of strain and vorticity. Phys. Rev. E 73, 036303.
11. KRONENBURG, A. & BILGER, R. W. 1997 Modelling of differential diffusion effects in nonpremixed nonreacting turbulent flow. Phys. Fluids 9, 1435-1447.
12. LAPORTA A., VOTH, G. A., CRAWFORD, A. M., ALEXANDER, J. & BODENSCHATZ, E. 2001 Fluid particle accelerations in fully developed turbulence. Nature 409, 1017.
13. LAMORGESE, A. G., POPE, S. B., YEUNG, P. K. & SAWFORD, B. L. 2007 A conditionally cubic-Gaussian stochastic Lagrangian model for acceleration in isotropic turbulence. J. Fluid Mech. 582, 423-448.
14. LUTHI, B., TSINOBER, A. & KINZELBACH, W. 2005 Lagrangian measurement of vorticity dynamics in turbulent flow. J. Fluid Mech. 528, 87-118.
15. MONIN, A. S. & YAGLOM, A. M. 1975 Statistical Fluid Mechanics vol. 2. MIT Press, Cambridge, MA.
16. MORDANT, N., METZ, P., MICHEL, O. & PINTON, J.-F. 2001 Measurement of Lagrangian velocity in fully developed turbulence. Phys. Rev. Lett. 87, 214501.
17. MORDANT, N., CRAWFORD, A. M. & BODENSCHATZ, E. 2004 Experimental Lagrangian acceleration probability density function measurement. Physica D 193, 245-251.
18. NELKIN, M. 1999 Energy and dissipation must have the same scaling exponent in the high Reynolds number limit of fluid turbulence. Phys. Fluids 11, 2202-2204.
19. OUELLETTE, N. T., XU, H. T. & BODENSCHATZ, E. 2006 A quantitative study of three-dimensional Lagrangian particle tracking algorithms. Exps. Fluids 40, 301-313.
20. POPE, S. B. 1985 PDF methods for turbulent reactive flows. Prog. Energy Combust. Sci. 11, 119-192.
21. POPE, S. B. 2000 Turbulent Flows. Cambridge University Press.
22. POPE, S. B. 2002 A stochastic Lagrangian model for acceleration in turbulent flows. Phys. Fluids 14, 2360-2375.
23. POPE, S. B. & CHEN, Y. L. 1990 The velocity-dissipation probability density function model for turbulent flows. Phys. Fluids A 2, 1437-1449.
24. REYNOLDS, A. M. 2003a On the application of non-extensive statistics to Lagrangian turbulence. Phys. Fluids 15, L1.
25. REYNOLDS, A. M. 2003b Superstatistical mechanics of tracer particle motions in turbulence. Phys. Rev. Lett. 91, 084503.
26. REYNOLDS, A. M., MORDANT, N., CRAWFORD, A. M. & BODENSCHATZ, E. 2005 On the distribution of Lagrangian accelerations in turbulent flows. New J. Phys. 7, art. 58.
27. ROGALLO, R. S. 1981 Numerical experiments in homogeneous turbulence. NASA T.M 81315.
28. SAWFORD, B. L. 1991 Reynolds number effects in Lagrangian stochastic models of turbulent dispersion. Phys. Fluids A 3, 1577-1586.
29. SAWFORD, B. L. 2001 Turbulent relative dispersion. Annu. Rev. Fluid Mech. 33, 289-317.
30. SAWFORD, B. L., YEUNG, P. K., BORGAS, M. S., VEDULA, P., CRAWFORD, A. M., LAPORTA, A. & BODENSCHATZ, E. 2003 Acceleration variance and conditional variance statistics in turbulence. Phys. Fluids 15 3478-3489.
31. SREENIVASAN, K. R. 1998 An update on the dissipation range in homogeneous turbulence. Phys. Fluids 10, 528-529.
32. SREENIVASAN, K. R. & ANTONIA, R. A. 1997 The phenomenology of small-scale turbulence. Annu. Rev. Fluid Mech. 29, 435-472.
33. TAYLOR, G. I. 1921 Diffusion by continuous movements. Proc. Lond. Math. Soc. Ser. 2 20, 196-211.
34. TOSCHI, F., BIFERALE, L., BOFFETTA, G., CELANI, A., DEVENISH, B. J. & LANOTTE, A. 2005. Acceleration and vortex filaments in turbulence. J. Turbulence 6 (15), 1-10.
35. VEDULA, P., YEUNG, P. K. & FOX, R. O. 2001 Dynamics of scalar dissipation in isotropic turbulence: A numerical and modelling study. J. Fluid Mech. 433, 29-60.
36. VOTH, G. A., SATYANARAYAN, K. & BODENSCHATZ, E. 1998 Lagrangian acceleration measurements at large Reynolds number. Phys. Fluids 10, 2268-2280.
37. VOTH, G. A., LAPORTA, A., CRAWFORD, A. M., ALEXANDER, J. & BODENSCHATZ, E. 2002 Measurement of particle accelerations in fully developed turbulence. J. Fluid Mech. 469, 121-160.
38. XU, H. T., OUELLETTE, N., BOURGOIN, M. & BODENSCHATZ, E. 2006 Lagrangian velocity structure functions in high Reynolds number turbulence. Phys. Rev. Lett. 96, 024503.
39. YAKHOT, V. & SREENIVASAN, K. R. 2005 Anomalous scaling of structure functions and dynamic constraints in turbulence simulations. J. Stat. Phys. 121, 823-841.
40. YEUNG, P. K. 1997 One- and two-particle Lagrangian acceleration correlations in numerically simulated homogeneous turbulence. Phys. Fluids 9, 2981-2990.
41. YEUNG, P. K. 2001 Lagrangian characteristics of turbulence and scalar transport in direct numerical simulations. J. Fluid Mech. 427, 241-274.
42. YEUNG, P. K. 2002 Lagrangian investigations of turbulence. Annu. Rev. Fluid Mech. 34, 115-142.
43. YEUNG, P. K. & POPE, S. B. 1988 An algorithm for tracking fluid particles in numerical simulations of homogeneous turbulence. J. Comput. Phys. 79, 373-416.
44. YEUNG, P. K. & POPE, S. B. 1989 Lagrangian statistics from direct numerical simulations of isotropic turbulence. J. Fluid Mech. 207, 531-586.
45. YEUNG, P. K. & ZHOU, Y. 1997 On the universality of the Kolmogorov constant in numerical simulations of turbulence. Phys. Rev. E 56, 1746-1752.
46. YEUNG, P. K., DONZIS, D. A. & SREENIVASAN, K. R. 2005 High Reynolds number simulation of turbulent mixing. Phys. Fluids 17 081703.
47. YEUNG, P. K., POPE, S. B., LAMORGESE, A. G. & DONZIS, D. A. 2006 a Acceleration and dissipation statistics of numerically simulations of isotropic turbulence. Phys. Fluids 18, 065103.
48. YEUNG, P. K., POPE, S. B. & SAWFORD, B. L. 2006b Reynolds number dependence of Lagrangian statistics in large numerical simulations of isotropic turbulence. J. Turbulence 7(58), 1-12.
49. ZHOU, T. & ANTONIA, R. A. 2000 Reynolds number dependence of the small-scale structure of grid turbulence. J. Fluid Mech. 406 81-107.