Dissipation and enstrophy in isotropic turbulence: Resolution effects and scaling in direct numerical simulations

Physics of Fluids

Volumn 20, Issue 4, 2008, Pages

  Donzis, D A ^a,b   Yeung, P K ^a   Sreenivasan, K R ^b,c  

^a Georgia Institute of Technology   (United States)

^b Bldg 142   (United States)

^c ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; DIRECT NUMERICAL SIMULATION; ENERGY DISSIPATION; NUMERICAL MODELS; REYNOLDS NUMBER; TURBULENCE;

COMPUTATIONAL POWER; CONDITIONAL SAMPLING; DYNAMIC CONSTRAINTS; HIGH REYNOLDS NUMBER; ISOTROPIC TURBULENCE; SCALING PROPERTIES; STRUCTURE FUNCTIONS; TURBULENCE SIMULATION;

PROBABILITY DENSITY FUNCTION;

EID: 83655213972     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2907227     Document Type: Conference Paper

References (57)

1. E. Siggia, "Numerical study of small-scale intermittency in threedimensional turbulence," J. Fluid Mech. 107, 375 (1981).
2. R. M. Kerr, "Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence," J. Fluid Mech. 153, 31 (1985).
3. P. K. Yeung and S. B. Pope, "Lagrangian statistics from direct numerical simulations of isotropic turbulence," J. Fluid Mech. 207, 531 (1989).
4. A. Bershadskii, E. Kit, and A. Tsinober, "Strongly localized events of energy, dissipation, enstrophy and enstrophy generation in turbulent flows," Fluid Dyn. Res. 14, 71 (1994).
5. K. R. Sreenivasan, A. Juneja, and A. Suri, "Scaling properties of circulation in moderate-Reynolds-number turbulent wakes," Phys. Rev. Lett. 75, 433 (1995).
6. S. Chen, K. R. Sreenivasan, and M. Nelkin, "Inertial range scalings of dissipation and enstrophy in isotropic turbulence," Phys. Rev. Lett. 79, 1253 (1997).
7. T. Zhou and R. A. Antonia, "Reynolds number dependence of the smallscale structure in grid turbulence," J. Fluid Mech. 406, 81 (2000).
8. B. W. Zeff, D. D. Lanterman, R. McAllister, R. Roy, E. J. Kostelich, and P. Lathrop, "Measuring intense rotation and dissipation in turbulent flows," Nature (London) 421, 146 (2003).
9. P. K. Yeung, D. A. Donzis, and K. R. Sreenivasan, "High- Reynoldsnumber simulation of turbulent mixing," Phys. Fluids 17, 081703 (2005).
10. P. K. Yeung, S. B. Pope, A. G. Lamorgese, and D. A. Donzis, "Acceleration and dissipation statistics of numerically simulated isotropic turbulence," Phys. Fluids 18, 065103 (2006).
11. M. Nelkin, "Enstrophy and dissipation must have the same scaling exponents in the high Reynolds number limit of fluid turbulence," Phys. Fluids 11, 2202 (1999).
12. V. L'vov and I. Procaccia, "The universal scaling exponents of anisotropy in turbulence and their measurements," Phys. Fluids 8, 2565 (1996).
13. G. He, S. Chen, R. H. Kraichnan, R. Zhang, and Y. Zhou, "Statistics of dissipation and enstrophy induced by localized vortices," Phys. Rev. Lett. 81, 4636 (1998).
14. L. Chevillard and C. Meneveau, "Intermittency and universality in a Lagrangian model of velocity gradients in three-dimensional turbulence," C. R. Mec. 335, 187 (2007).
15. K. R. Sreenivasan and R. A. Antonia, "The phenomenology of small-scale turbulence," Annu. Rev. Fluid Mech. 29, 435 (1997).
16. M. S. Borgas and P. K. Yeung, "Relative dispersion in isotropic turbulence. Part 2. A new stochastic model with Reynolds-number dependence," J. Fluid Mech. 503, 125 (2004).
17. K. R. Sreenivasan, "An update on the dissipation rate in homogeneous turbulence," Phys. Fluids 10, 528 (1998).
18. D. A. Donzis, K. R. Sreenivasan, and P. K. Yeung, "Scalar dissipation rate and dissipative anomaly in isotropic turbulence," J. Fluid Mech. 532, 216 (2005).
19. V. Eswaran and S. B. Pope, "An examination of forcing in direct numerical simulations of turbulence," Comput. Fluids 16, 257 (1988).
20. L. P. Wang, S. Y. Chen, J. G. Brasseur, and J. C. Wyngaard, "Examination of hypotheses in the Kolmogorov refined turbulence theory through highresolution simulations. Part 1. Velocity field," J. Fluid Mech. 309, 113 (1996).
21. T. Gotoh, D. Fukayama, and T. Nakano, "Velocity field statistics in homogeneous steady turbulence obtained using a high-resolution direct numerical simulation," Phys. Fluids 14, 1065 (2002).
22. 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 15, L21 (2003).
23. 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. 93, 064502 (2004).
24. K. R. Sreenivasan, "Possible effects of small-scale intermittency in turbulent reacting flows," Flow, Turbul. Combust. 72, 115 (2004).
25. V. Yakhot and K. R. Sreenivasan, "Anomalous scaling of structure functions and dynamic constraints on turbulence simulations," J. Stat. Phys. 121, 823 (2005).
26. J. Schumacher, K. R. Sreenivasan, and P. K. Yeung, "Very fine structures in scalar mixing," J. Fluid Mech. 531, 113 (2005).
27. J. Schumacher, K. R. Sreenivasan, and V. Yakhot, "Asymptotic exponents from low-Reynolds-number flows," New J. Phys. 9, 89 (2007).
28. T. Watanabe and T. Gotoh, "Inertial-range intermittency and accuracy of direct numerical simulation for turbulence and passive scalar turbulence," J. Fluid Mech. 590, 117 (2007).
29. T. Ishihara, Y. Kaneda, M. Yokokawa, K. Itakura, and A. Uno, "Smallscale statistics in high-resolution direct numerical simulation of turbulence: Reynolds number dependence of one-point velocity gradients statistics," J. Fluid Mech. 592, 335 (2007).
30. R. S. Rogallo, "Numerical experiments in homogeneous turbulence," NASA Report No. TM 81315, 1981.
31. P. E. Hamlington, J. Schumacher, and W. J. A. Dahm, "Local and nonlocal strain rate fields and vorticity alignment in turbulent flows," Phys. Rev. E 77, 026303 (2008).
32. P. Vedula and P. K. Yeung, "Similarity scaling of acceleration and pressure statistics in numerical simulations of isotropic turbulence," Phys. Fluids 11, 1208 (1999).
33. P. K. Yeung, S. Xu, and K. R. Sreenivasan, "Schmidt number effects on turbulent transport with uniform mean scalar gradient," Phys. Fluids 14, 4178 (2002).
34. A. N. Kolmogorov, "A refinement of previous hypothesis concerning the local structure of turbulence in viscous incompressible fluid at high Reynolds number," J. Fluid Mech. 13, 82 (1962).
35. G. Paladin and A. Vulpiani, "Degrees of freedom of turbulence," Phys. Rev. A 35, 1971 (1987).
36. G. Stolovitzky and K. R. Sreenivasan, "Scaling of structure functions," Phys. Rev. E 48, R33 (1993).
37. C. Meneveau and K. R. Sreenivasan, "Simple multifractal cascade model for fully developed turbulence," Phys. Rev. Lett. 59, 1424 (1987).
38. I. Hosokawa, "Turbulence models and probability distributions of dissipation and relevant quantities in isotropic turbulence," Phys. Rev. Lett. 66, 1054 (1991).
39. C. Meneveau and K. R. Sreenivasan, "The multifractal nature of turbulent energy dissipation," J. Fluid Mech. 224, 429 (1991).
40. A. Bershadskii, E. Kit, and A. Tsinober, "On universality of geometrical invariants in turbulence-Experimental results," Phys. Fluids A 5, 1523 (1993).
41. T. Zhou, R. A. Antonia, and L. P. Chua, "Flow and Reynolds number dependencies of one-dimensional vorticity fluctuations," J. Turbul. 6, 28 (2005).
42. G. R. Ruetsch and M. R. Maxey, "Small-scale features of vorticity and passive scalar fields in homogeneous turbulence," Phys. Fluids A 3, 1587 (1991).
43. A. N. Karpetis and R. S. Barlow, "Measurements of scalar dissipation in a turbulent piloted methane/air jet flame," Proc. Combust. Inst. 29, 1929 (2002).
44. M. Nelkin, "Inertial range scaling of intense events in turbulence," Phys. Rev. E 52, R4610 (1995).
45. Z.-S. She and E. Leveque, "Universal scaling laws in fully developed turbulence," Phys. Rev. Lett. 72, 336 (1994).
46. V. Yakhot, "Probability densities in strong turbulence," Physica D 215, 166 (2006).
47. R. Benzi, L. Biferale, G. Paladin, A. Vulpiani, and M. Vergassola, "Multifractality in the statistics of the velocity gradients in turbulence," Phys. Rev. Lett. 67, 2299 (1991).
48. R. A. Antonia, T. Zhou, and Y. Zhu, "Three-component vorticity measurements in a turbulent grid," J. Fluid Mech. 374, 29 (1998).
49. S. Lee and C. Lee, "Intermittency of acceleration in isotropic turbulence," Phys. Rev. E 71, 056310 (2005).
50. N. Mordant, E. Lévêque, and J. F. Pinton, "Experimental and numerical study of the Lagrangian dynamics of high Reynolds turbulence," New J. Phys. 6, 116 (2004).
51. 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. 582, 399 (2007).
52. Z. S. She, E. Jackson, and S. A. Orszag, "Structure and dynamics of homogeneous turbulence-models and simulations," Proc. R. Soc. London, Ser. A 434, 101 (1991).
53. J. Jiménez, A. A. Wray, P. G. Saffman, and R. S. Rogallo, "The structure of intense vorticity in isotropic turbulence," J. Fluid Mech. 255, 65 (1993).
54. F. Moisy and J. Jiménez, "Geometry and clustering of intense structures in isotropic turbulence," J. Fluid Mech. 513, 111 (2004).
55. B. Dhruva, Y. Tsuji, and K. R. Sreenivasan, "Transverse structure functions in high-Reynolds-number turbulence," Phys. Rev. E 56, R4928 (1997).
56. P. K. Yeung and Y. Zhou, "On the universality of the Kolmogorov constant in numerical simulations of turbulence," Phys. Rev. E 56, 1746 (1997).
57. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).