Acceleration and dissipation statistics of numerically simulated isotropic turbulence

Physics of Fluids

Volumn 18, Issue 6, 2006, Pages

  Yeung, P K ^a   Pope, S B ^b   Lamorgese, A G ^b   Donzis, D A ^a  

^a Georgia Institute of Technology ^*  (United States)

^b Department of Materials Science and Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; COMPUTER SIMULATION; MATHEMATICAL MODELS; RANDOM PROCESSES; STATISTICS; VELOCITY;

DIRECT NUMERICAL SIMULATION (DNS); FLUID PARTICLES; ISOTROPIC TURBULENCE; VELOCITY GRADIENT;

TURBULENCE;

ACCELERATION; COMPUTER SIMULATION; MATHEMATICAL MODELS; RANDOM PROCESSES; STATISTICS; TURBULENCE; VELOCITY;

EID: 33745597046     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2204053     Document Type: Article

References (45)

1. P. K. Yeung, "One- and two-particle Lagrangian acceleration correlations in numerically simulated homogeneous turbulence," Phys. FluidsPHFLE61070-663110.1063/1.869409 9, 2981 (1997).
2. G. A. Voth, K. Satyanarayan, and E. Bodenschatz, "Lagrangian acceleration measurements at large Reynolds number," Phys. FluidsPHFLE61070-663110.1063/1.869748 10, 2268 (1998).
3. P. Vedula and P. K. Yeung, "Similarity scaling of pressure and acceleration statistics in numerical simulations of turbulence," Phys. FluidsPHFLE61070-663110.1063/1.869893 11, 1208 (1999).
4. A. LaPorta, 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).
5. G. A. Voth, A. LaPorta, 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).
6. R. J. Hill, "Scaling of acceleration in locally isotropic turbulence," J. Fluid Mech.JFLSA70022-112010.1017/S0022112001007091 452, 361 (2002).
7. S. B. Pope, "A Stochastic Lagrangian model for acceleration in turbulent flows," Phys. FluidsPHFLE61070-663110.1063/1.1483876 14, 2360 (2002).
8. K. Christensen and R. J. Adrian, "Measurement of instantaneous Eulerian acceleration fields by particle image accelerometry: Method and accuracy," Exp. FluidsEXFLDU0723-4864 33, 759 (2002).
9. A. M. Reynolds, "On the application of nonextensive statistics to Lagrangian turbulence," Phys. FluidsPHFLE61070-663110.1063/ 1.1528194 15, L1 (2003).
10. A. M. Reynolds, "Superstatistical mechanics of tracer particle motions in turbulence," Phys. Rev. Lett.PRLTAO0031-900710.1103/ PhysRevLett.91.084503 91, 084503 (2003).
11. B. L. Sawford, P. K. Yeung, M. S. Borgas, P. Vedula, A. M. Crawford, L. LaPorta, and E. Bodenschatz, "Acceleration variance and conditional variance statistics in turbulence," Phys. FluidsPHFLE61070-663110.1063/1.1613647 15, 3478 (2003).
12. A. Gylfason, S. Ayyalasomayajula, and Z. Warhaft, "Intermittency, pressure and acceleration statistics from hot-wire measurements in wind-tunnel turbulence," J. Fluid Mech.JFLSA70022-112010.1017/ S002211200300747X 501, 213 (2004).
13. 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).
14. B. L. Sawford, "Reynolds number effects in Lagrangian stochastic models of turbulent dispersion," Phys. Fluids APFADEB0899-821310.1063/1.857937 3, 1577 (1991).
15. K. R. Srinivasan, "On the scaling of the turbulent energy dissipation rate," Phys. Fluids 27, 1048 (1984).
16. 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).
17. R. O. Fox, "The Lagrangian spectral relaxation model of the scalar dissipation in homogeneous turbulence," Phys. FluidsPHFLE61070-663110.1063/1.869357 9, 2364 (1997).
18. S. B. Pope and Y. L. Chen, "The velocity-dissipation probability density function model for turbulent flows,"Phys. Fluids APFADEB0899-821310.1063/1.857592 2, 1437 (1990).
19. M. S. Chong, J. Soria, A. E. Perry, J. Chacin, B. J. Cantwell, and Y. Na, "Turbulence structures of wall-bounded shear flows using DNS data," J. Fluid Mech.JFLSA70022-112010.1017/S0022112097008057 357, 225 (1998).
20. A. Ooi, J. Martin, J. Soria, and M. S. Chong, "A study of the evolution and characteristics of the invariants of the velocity-gradient tensor in isotropic turbulence," J. Fluid Mech.JFLSA70022-112010.1017/S0022112098003681 381, 141 (1999).
21. S. Lee and C. Lee, "Intermittency of acceleration in isotropic turbulence," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.71.056310 71, 056310 (2005).
22. P. K. Yeung, D. A. Donzis, and K. R. Sreenivasan, "High Reynolds number simulation of turbulent mixing," Phys. FluidsPHFLE61070-663110.1063/1.2001690 17, 081703 (2005).
23. 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).
24. V. Eswaran and S. B. Pope, "An examination of forcing in direct numerical simulations of turbulence," Comput. FluidsCPFLBI0045-793010.1016/0045-7930(88)90013-8 16, 257 (1988).
25. R. S. Rogallo, "Numerical experiments in homogeneous turbulence," NASA Tech. Memo. 81315 (1981).
26. P. K. Yeung, "Correlations and conditional statistics in differential diffusion: Scalars with mean scalar gradients," Phys. FluidsPHFLE61070-663110.1063/1.869775 10, 2621 (1998).
27. P. K. Yeung and S. B. Pope, "Differential diffusion of passive scalars in isotropic turbulence," Phys. Fluids APFADEB0899-821310.1063/1.858760 5, 2467 (1993).
28. K. R. Sreenivasan, "An update on the energy dissipation rate in isotropic turbulence," Phys. FluidsPHFLE61070-663110.1063/1.869575 10, 528 (1998).
29. P. Burattini, P. Lavoie, and R. A. Antonia, "On the normalized energy dissipation rate," Phys. FluidsPHFLE61070-663110.1063/ 1.2055529 17, 098103 (2005).
30. R. M. Kerr, "Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence," J. Fluid Mech.JFLSA70022-112010.1017/S0022112085001136 153, 31 (1985).
31. G. K. Batchelor, The Theory of Homogeneous Turbulence (Cambridge University Press, Cambridge, 1953).
32. K. R. Sreenivasan and R. A. Antonia, "The phenomenology of small-scale turbulence," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/annurev.fluid.29.1.435 29, 435 (1997).
33. A. N. Kolmogorov, "A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number," J. Fluid Mech.JFLSA70022-1120 13, 82 (1962).
34. K. R. Sreenivasan and P. Kailasnath, "An update on the intermittency exponent in turbulence," Phys. Fluids APFADEB0899-821310.1063/1.858877 5, 512 (1993).
35. A. M. Obukhov, "Some specific features of atmospheric turbulence," J. Fluid Mech.JFLSA70022-1120 13, 77 (1962).
36. U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, 1995).
37. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, 1975).
38. S. B. Pope, "Lagrangian PDF methods for turbulent flows," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/annurev.fluid.26.1.23 26, 23 (1994).
39. T. Gotoh and R. S. Rogallo, "Intermittency and scaling of pressure at small scales in forced isotropic turbulence," J. Fluid Mech.JFLSA70022-112010.1017/S0022112099005972 396, 257 (2000).
40. M. S. Borgas, "The multifractal Lagrangian nature of turbulence," Philos. Trans. R. Soc. London, Ser. APTRMAD0962-8428 342, 379 (1993).
41. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, U.K., 2000).
42. M. S. Borgas and P. K. Yeung, "Conditional fluid particle accelerations in turbulence," Theor. Comput. Fluid Dyn.TCFDEP0935-496410.1007/s001620050081 11, 69 (1998).
43. A. M. Reynolds, N. Mordant, A. M. Crawford, and E. Bodenschatz, "On the distribution of Lagrangian accelerations in turbulent flows," New J. Phys.NJOPFM1367-263010.1088/1367-2630/7/1/058 7, 58 (2005).
44. P. K. Yeung and S. B. Pope, "An algorithm for tracking fluid particles in numerical simulations of homogeneous turbulence," J. Comput. Phys.JCTPAH0021-999110.1016/0021-9991(88)90022-8 79, 373 (1988).
45. K. R. Sreenivasan and C. Meneveau, "Singularities of the equations of fluid motion," Phys. Rev. APLRAAN1050-294710.1103/ PhysRevA.38.6287 38, 6287 (1988).