Lagrangian structure functions in turbulence: A quantitative comparison between experiment and direct numerical simulation

Physics of Fluids

Volumn 20, Issue 6, 2008, Pages

  Biferale, L ^a   Bodenschatz, Eberhard ^b   Cencini, M ^c   Lanotte, A S ^d   Ouellette, N T ^b,g   Toschi, F ^e,f   Xu, H ^b  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

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

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

^d CNR   (Italy)

^e CNR   (Italy)

^f INFN SEZIONE DI FERRARA   (Italy)

^g HAVERFORD COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIRECT NUMERICAL SIMULATION; FLOW OF WATER; NUMERICAL MODELS; REYNOLDS NUMBER; ROTATING DISKS; TURBULENCE;

DIRECT NUMERICAL SIMULATIONS DATUM; FINITE TRAJECTORY LENGTH; HOMOGENEOUS AND ISOTROPIC; INTEGRATING INFORMATION; LAGRANGIAN STRUCTURES; LAGRANGIAN VELOCITY; QUANTITATIVE AGREEMENT; QUANTITATIVE COMPARISON;

LAGRANGE MULTIPLIERS;

EID: 47149109636     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2930672     Document Type: Article

References (58)

1. S. B. Pope, "Lagrangian PDF methods for turbulent flows," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fluid.26.1.23 26, 23 (1994).
2. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).
3. B. Sawford, "Turbulent relative dispersion," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fluid.33.1.289 33, 289 (2001).
4. P. K. Yeung, "Lagrangian investigations of turbulence," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fluid.34.082101.170725 34, 115 (2002).
5. P. K. Yeung and S. B. Pope, "Lagrangian statistics from direct numerical simulations of isotropic turbulence," J. Fluid Mech. JFLSA70022-112010.1017/S0022112089002697 207, 531 (1989).
6. M. Virant and Th. Dracos, "3D PTV and its application on Lagrangian motion," Meas. Sci. Technol. MSTCEP0957-023310.1088/0957-0233/8/12/ 017 8, 1539 (1997).
7. G. A. Voth, K. Satyanarayan, and E. Bodenschatz, "Lagrangian acceleration measurements at large Reynolds numbers," Phys. Fluids PHFLE61070-663110.1063/1.869748 10, 2268 (1998).
8. S. Ott and J. Mann, "An experimental investigation of the relative diffusion of particle pairs in three-dimensional turbulent flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112000001658 422, 207 (2000).
9. A. La Porta, G. A. Voth, A. M. Crawford, J. Alexander, and E. Bodenschatz, "Fluid particle accelerations in fully developed turbulence," Nature (London) NATUAS0028-083610.1038/35059027 409, 1017 (2001).
10. N. Mordant, P. Metz, O. Michel, and J. F. Pinton, "Measurement of Lagrangian velocity in fully developed turbulence," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.87.214501 87, 214501 (2001).
11. G. A. Voth, A. La Porta, A. M. Crawford, J. Alexander, and E. Bodenschatz, "Measurement of particle accelerations in fully developed turbulence," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112002001842 469, 121 (2002).
12. B. L. Sawford, P. K. Yeung, M. S. Borgas, P. Vedula, A. La Porta, A. M. Crawford, and E. Bodenschatz, "Conditional and unconditional acceleration statistics in turbulence," Phys. Fluids PHFLE61070-663110.1063/1.1613647 15, 3478 (2003).
13. L. Chevillard, S. G. Roux, E. Lévêque, N. Mordant, J.-F. Pinton, and A. Arneodo, "Lagrangian velocity statistics in turbulent flows: Effects of dissipation," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.91.214502 91, 214502 (2003).
14. I. M. Mazzitelli, D. Lohse, and F. Toschi, "Effect of microbubbles on developed turbulence," Phys. Fluids PHFLE61070-663110.1063/ 1.1528619 15, L5 (2003).
15. N. Mordant, E. Lévêque, and J.-F. Pinton, "Experimental and numerical study of the Lagrangian dynamics of high Reynolds turbulence," New J. Phys. NJOPFM1367-263010.1088/ 1367-2630/6/1/116 6, 116 (2004).
16. N. Mordant, A. M. Crawford, and E. Bodenschatz, "Experimental Lagrangian acceleration probability density function measurement," Physica D PDNPDT0167-278910.1016/j.physd.2004.01.041 193, 245 (2004).
17. I. M. Mazzitelli and D. Lohse, "Lagrangian statistics for fluid particles and bubbles in turbulence," New J. Phys. NJOPFM1367-263010.1088/1367-2630/6/1/203 6, 203 (2004).
18. L. Biferale, G. Boffetta, A. Celani, B. J. Devenish, A. Lanotte, and F. Toschi, "Multifractal statistics of Lagrangian velocity and acceleration in turbulence," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.93.064502 93, 064502 (2004).
19. P. K. Yeung, D. A. Donzis, and K. R. Sreenivasan, "High-Reynolds-number simulation of turbulent mixing," Phys. Fluids PHFLE61070-663110.1063/1.2001690 17, 081703 (2005).
20. B. Lüthi, A. Tsinober, and W. Kinzelbach, "Lagrangian measurement of vorticity dynamics in turbulent flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112004003283 528, 87 (2005).
21. L. Chevillard, S. G. Roux, E. Lévêque, N. Mordant, J.-F. Pinton, and A. Arneodo, "Intermittency of velocity time increments in turbulence," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.95.064501 95, 064501 (2005).
22. K. Hoyer, M. Holzner, B. Luthi, M. Guala, A. Liberzon, and W. Kinzelbach, "3D scanning particle tracking velocimetry," Exp. Fluids EXFLDU0723-486410.1007/s00348-005-0031-7 39, 923 (2005).
23. L. Biferale, G. Boffetta, A. Celani, A. Lanotte, and F. Toschi, "Particle trapping in three dimensional fully developed turbulence," Phys. Fluids PHFLE61070-663110.1063/1.1846771 17, 021701 (2005).
24. N. T. Ouellette, H. Xu, M. Bourgoin, and E. Bodenschatz, "Small-scale anisotropy in Lagrangian turbulence," New J. Phys. NJOPFM1367-263010.1088/1367-2630/8/6/102 8, 102 (2006).
25. J. Bec, L. Biferale, G. Boffetta, A. Celani, M. Cencini, A. Lanotte, S. Musacchio, and F. Toschi, "Acceleration statistics of heavy particles in turbulence," J. Fluid Mech. JFLSA70022-112010.1017/ S002211200500844X 550, 349 (2006).
26. H. Xu, M. Bourgoin, N. T. Ouellette, and E. Bodenschatz, "High order Lagrangian velocity statistics in turbulence," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.96.024503 96, 024503 (2006).
27. P. K. Yeung, S. B. Pope, and B. L. Sawford, "Reynolds number dependence of Lagrangian statistics in large numerical simulations of isotropic turbulence," J. Turbul. ZZZZZZ1468-5248 7, 58 (2006).
28. N. T. Ouellette, H. Xu, M. Bourgoin, and E. Bodenschatz, "An experimental study of turbulent relative dispersion models," New J. Phys. NJOPFM1367-263010.1088/1367-2630/8/6/109 8, 109 (2006).
29. J. Bec, L. Biferale, M. Cencini, A. Lanotte, and F. Toschi, "Effects of vortex filaments on the velocity of tracers and heavy particle in turbulence," Phys. Fluids PHFLE61070-663110.1063/ 1.2338598 18, 081702 (2006).
30. M. Guala, A. Liberzon, A. Tsinober, and W. Kinzelbach, "An experimental investigation on Lagrangian correlations of small-scale turbulence at low Reynolds number," J. Fluid Mech. JFLSA70022-1120 574, 405 (2007).
31. S. Ayyalasomayajula, A. Gylfason, L. R. Collins, E. Bodenschatz, and Z. Warhaft, "Lagrangian measurements of inertial particle accelerations in grid generated wind tunnel turbulence," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.97.144507 97, 144507 (2007).
32. P. K. Yeung, S. B. Pope, E. A. Kurth, and A. G. Lamorgese, "Lagrangian conditional statistics, acceleration and local relative motion in numerically simulated isotropic turbulence," J. Fluid Mech. JFLSA70022-112010.1017/S0022112007006064 582, 399 (2007).
33. H. Homann, R. Grauer, A. Busse, and W. C. Müller, "Lagrangian statistics of Navier-Stokes- and MHD-turbulence," J. Plasma Phys. JPLPBZ0022-377810.1017/S0022377807006575 73, 821 (2007).
34. U. Frisch, Turbulence: The legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, 1995).
35. R. Benzi, G. Paladin, G. Parisi, and A. Vulpiani, "On the multifractal nature of fully developed turbulence and chaotic systems," J. Phys. A JPHAC50305-447010.1088/0305-4470/17/18/021 17, 3521 (1984).
36. Z. S. She and E. Lévêque, "Universal scaling laws in fully developed turbulence," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.72.336 72, 336 (1994).
37. B. Castaing, Y. Gagne, and E. J. Hopfinger, "Velocity probability density functions of high Reynolds number turbulence," Physica D PDNPDT0167-2789 46, 435 (1990).
38. V. Yakhot, "Mean-field approximation and a small parameter in turbulence theory," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.63.026307 63, 026307 (2001).
39. R. Benzi, L. Biferale, G. Paladin, A. Vulpiani, and M. Vergassola, "Multifractality in the statistics of the velocity gradients in turbulence," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.67.2299 67, 2299 (1991).
40. U. Frisch and M. Vergassola, "A prediction of the multifractal model - The intermediate dissipation range," Europhys. Lett. EULEEJ0295-507510.1209/0295-5075/14/5/009 14, 439 (1991).
41. A. Arneodo, C. Baudet, F. Belin, R. Benzi, B. Castaing, B. Chabaud, R. Chavarria, S. Ciliberto, R. Camussi, F. Chillà, B. Dubrulle, Y. Gagne, B. Hebral, J. Herweijer, M. Marchand, J. Maurer, J. F. Muzy, A. Naert, A. Noullez, J. Peinke, F. Roux, P. Tabeling, W. van de Water, and H. Willaime, "Structure functions in turbulence, in various flow configurations, at Reynolds number between 30 and 5000, using extended self-similarity," Europhys. Lett. EULEEJ0295-507510.1209/epl/ i1996-00472-2 34, 411 (1996).
42. F. G. Schmitt, "Relating Lagrangian passive scalar scaling exponents to Eulerian scaling exponents in turbulence," Physica A PHYADX0378-4371 48, 129 (2005).
43. C. Beck, "Statistics of three-dimensional Lagrangian turbulence," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.98.064502 98, 064502 (2007).
44. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics (MIT, Cambridge, MA, 1975), Vol. II.
45. R.-C. Lien and E. A. Dásaro, "The Kolmogorov constant for the Lagrangian spectrum and structure function," Phys. Fluids PHFLE61070-663110.1063/1.1518695 14, 4456 (2002).
46. M. S. Borgas, "The multifractal Lagrangian nature of turbulence," Philos. Trans. R. Soc. London, Ser. A PTRMAD0962-842810.1098/rsta.1993.0026 342, 379 (1993).
47. G. Boffetta, F. De Lillo, and S. Musacchio, "Lagrangian statistics and temporal intermittency in a shell model of turbulence," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.66.066307 66, 066307 (2002).
48. N. T. Ouellette, H. Xu, and E. Bodenschatz, "A quantitative study of three-dimensional Lagrangian particle tracking algorithms," Exp. Fluids EXFLDU0723-486410.1007/s00348-005-0068-7 40, 301 (2006).
49. T. Gotoh, D. Fukayama, and T. Nakano, "Velocity field statistics in homogeneous steady turbulence obtained using a high-resolution direct numerical simulation," Phys. Fluids PHFLE61070-663110.1063/ 1.1448296 14, 1065 (2002).
50. Y. Kaneda, T. Ishihara, M. Yokokawa, K. Itakura, and A. Uno, "Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box," Phys. Fluids PHFLE61070-663110.1063/1.1539855 15, L21 (2003).
51. S. Chen, G. D. Doolen, R. H. Kraichnan, and Z.-S. She, "On statistical correlations between velocity increments and locally averaged dissipation in homogeneous turbulence," Phys. Fluids A PFADEB0899-821310.1063/1.858897 5, 458 (1993).
52. H. Homann, J. Dreher, and R. Grauer, "Impact of the floating-point precision and interpolation scheme on the results of DNS of turbulence by pseudo-spectral codes," Comput. Phys. Commun. CPHCBZ0010-4655 117, 560 (2007).
53. V. Yakhot and K. R. Sreenivasan, "Anomalous scaling of structure functions and dynamic constraints on turbulence simulations," J. Stat. Phys. JSTPBS0022-471510.1007/s10955-005-8666-6 121, 823 (2005).
54. L. Biferale and I. Procaccia, "Anisotropy in turbulent flows and in turbulent transport," Phys. Rep. PRPLCM0370-157310.1016/ j.physrep.2005.04.001 414, 43 (2005).
55. R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi, "Extended self-similarity in turbulent flows," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.48.R29 48, R29 (1993).
56. J. Berg Jorgensen, J. Mann, S. Ott, H. L. Pécseli, and J. Trulsen, "Experimental studies of occupation and transit times in turbulent flows," Phys. Fluids PHFLE61070-663110.1063/1.1863259 17, 035111 (2005).
57. T. Gotoh and R. H. Kraichnan, "Turbulence and Tsallis statistics," Physica D PDNPDT0167-278910.1016/j.physd.2004.01.034 193, 231 (2004).
58. iCFDdatabase (http://cfd.cineca.it).