Geometry of enstrophy and dissipation, grid resolution effects and proximity issues in turbulence

Journal of Fluid Mechanics

Volumn 620, Issue , 2009, Pages 121-166

  Bermejo Moreno, Iván ^a   Pullin, D I ^a   Horiuti, Kiyosi ^b  

^a California Institute of Technology   (United States)

^b Tokyo Institute of Technology ^*  (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY DISSIPATION; KINETIC ENERGY; KINETICS; TUBES (COMPONENTS); TURBULENCE;

CONTINUOUS DISTRIBUTION; DIFFERENT RESOLUTIONS; GEOMETRICAL ANALYSIS; GEOMETRICAL CONSIDERATIONS; HIGHEST RESOLUTIONS; HOMOGENEOUS ISOTROPIC TURBULENCE; MULTI-SCALE DECOMPOSITION; SHEET-LIKE STRUCTURE;

GEOMETRY;

DISSIPATION; GEOMETRY; KINETIC ENERGY; METHODOLOGY; TURBULENCE;

EID: 65649108581     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211200800476X     Document Type: Article

References (48)

1. ASHURST, W. T., KERSTEIN, A. R., KERR, R. M. & GIBSON, C. H. 1987 Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence. Phys. Fluids 30, 2343-2353.
2. BATCHELOR, G. K. & TOWNSEND, A. A. 1949 The nature of turbulent motion at large wavenumbers. Proc. R. Soc. Lond. A 199, 238-255.
3. BERMEJO-MORENO, I. & PULLIN, D. I. 2008 On the non-local geometry of turbulence. J. Fluid Mech. 603, 101-135.
4. BRADSHAW, P. & KOH, Y. M. 1981 A note on Poisson's equation for pressure in a turbulent flow. Phys. Fluids 24, 777.
5. BRASSEUR, J. G. & WANG, Q. 1992 Structural evolution of intermittency and anisotropy at different scales analyzed using three-dimensional wavelet transforms. Phys. Fluids A 4, 2538-2554.
6. Candès, E., DEMANET, L., DONOHO, D. & YING, L. 2005 Fast discrete curvelet transforms. Multiscale Model Simul. 5, 861-899.
7. CHEN, S., SREENIVASAN, K. R. & NELKIN, M. 1997 Inertial range scalings of dissipation and enstrophy in isotropic turbulence. Phys. Rev. Lett. 79, 1253-1256.
8. GOTO, SUSUMU 2008 A physical mechanism of the energy cascade in homogeneous isotropic turbulence. J. Fluid Mech. 605, 355-266.
9. HAMLINGTON, P. E., SCHUMACHER, J. & DAHM, W. J. A. 2008 Local and nonlocal strain rate fields and vorticity alignment in turbulent flows. Phys. Rev. E 77, 026303.
10. HE, G., CHEN, S., KRAICHAN, R. H., ZHANG, R. & ZHOU, Y. 1998 Statistics of dissipation and enstrophy induced by localized vortices. Phys. Rev. Lett. 81, 4639.
11. HORIUTI, K. 2001 A classification method for vortex sheet and tube structures in turbulent flows. Phys. Fluids A 13 (12), 3756-3774.
12. HORIUTI, K. & FUJISAWA, T. 2008 The multi-mode stretched spiral vortex in homogeneous isotropic turbulence. J. Fluid Mech. 595 341-366.
13. HORIUTI, K. & TAKAGI, Y. 2005 Identification method for vortex sheet structures in turbulent flows. Phys. Fluids 17 (12), 121703.
14. HUNT, J. C. R., WRAY, A. A. & MOIN, P. 1988 Eddies, stream, and convergence zones in turbulent flows. Tech. Rep. Center for Turbulence Research Report CTR-S88.
15. ISHIHARA, T., KANEDA, Y., YOKOKAWA, M., ITAKURA, K. & UNO, A. 2003 Spectra of energy dissipation, enstrophy and pressure by high-resolution direct numerical simulations of turbulence in a periodic box. J. Phys. Soc. Japan 72, 983-986.
16. JEONG, J. & HUSSAIN, F. 1995 On the identification of a vortex. J. Fluid Mech. 285, 69-94.
17. JIMÉNEZ, J. 1992 Kinematic alignment effects in turbulent flows. Phys. Fluids A 4, 652-654.
18. JIMÉNEZ, J., WRAY, A. W., SAFFMAN, P. G. & ROGALLO, R. S. 1993 The structure of intense vorticity in isotropic turbulence. J. Fluid Mech. 255, 65-90.
19. KENNEDY, D. A. & CORRSIN, S. 1961 Spectral flatness factor and intermittency in turbulence and in non-linear noise. J. Fluid Mech. 10, 366-370.
20. KERR, R. M. 1985 Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence. J. Fluid Mech. 153, 31-58.
21. KOENDERINK, J. J. & VAN DOORN, A. J. 1992 Surface shape and curvature scales. Image Vision Comput. 10 (8), 557-565.
22. KOLMOGOROV, A. N. 1941a Dissipation of energy in a locally isotropic turbulence. Dokl. Nauk. SSSR. 32, 16-18.
23. KOLMOGOROV, A. N. 1941b The local structure of turbulence in incompressible viscous fluids at very large Reynolds numbers. Dokl. Nauk. SSSR. 30, 301-305.
24. KOLMOGOROV, A. N. 1962 A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds numbers. J. Fluid Mech. 13, 82-85.
25. KRAICHNAN, R. H. 1974 On Kolmogorov's inertial-range theories. J. Fluid Mech. 62, 305-330.
26. LANDAU, L. D. & LIFSHITZ, E. M. 1959 Fluid Mechanics. Pergamon.
27. LUNDGREN, T. S. 1982 Strained spiral vortex model for turbulent fine structure. Phys. Fluids 25, 2193-2203.
28. MENEVEAU, C. 1991 Analysis of turbulence in the orthonormal wavelet representation. J. Fluid Mech. 232, 469-520.
29. MISRA, A. & PULLIN, D. I. 1997 A vortex-based subgrid stress model for large-eddy simulations. Phys. Fluids 9, 2443-2454.
30. MOISY, F. & JIMÉNEZ, J. 2004 Geometry and clustering of intense structures in isotropic turbulence. J. Fluid Mech. 513, 111-133.
31. NOMURA, K. K. & POST, G. K. 1998 The structure and dynamics of vorticity and rate of strain in incompressible homogeneous turbulence. J. Fluid Mech. 377, 65-97.
32. OKAMOTO, N., YOSHIMATSU, K., SHNEIDER, K., FARGE, M. & KANEDA, Y. 2007 Coherent vortices in high resolution direct numerical simulation of homogeneous isotropic turbulence: A wavelet viewpoint. Phys. Fluids 19, 115109.
33. ONSAGER, L. 1945 The distribution of energy in turbulence. Phys. Rev. 68, 286.
34. PULLIN, D. I. & SAFFMAN, P. G. 1997 Vortex dynamics in turbulence. Annu. Rev. Fluid Mech. 30, 31-51.
35. RICHARDSON, L. F. 1922 Weather Prediction by Numerical Process Cambridge University Press.
36. RICHARDSON, L. F. 1926 Atmospheric diffusion shown on a distance-neighbor graph. Proc. R. Soc. Lond. Ser. A 110, 709-737.
37. RUETSCH, G. R. & MAXEY, M. R. 1992 The evolution of small-scale structures in isotropic homogeneous turbulence. Phys. Fluids A 4 (12), 2747-2760.
38. SCHUMACHER, J., SREENIVASAN, K. R. & YEUNG, P. K. 2005 Very fine structures in scalar mixing. J. Fluid Mech. 531, 113-122.
39. SIGGIA, E. D. 1981 Numerical study of small-scale intermittency in three-dimensional turbulence. J. Fluid Mech. 107, 375-406.
40. SREENIVASAN, K. R. 2004 Possible effects of small-scale intermittency in turbulent reacting flows. Flow, Turbul. Combus. 72, 115-131.
41. SREENIVASAN, K. R. & MENEVEAU, C. 1988 Singularities of the the equations of fluid motion. Phys. Rev. A 38, 6287-6295.
42. TANAKA, M. & KIDA, S. 1993 Characterization of vortex tubes and sheets. Phys. Fluids A 5, 2079-2082.
43. TAO, B., KATZ, J. & MENEVEAU, C. 2000 Geometry and scale relationships in high Reynolds number turbulence determined from three-dimensional holographic velocimetry. Phys. Fluids 12, 941-944.
44. TSINOBER, A., KIT, E. & DRACOS, T. 1992 Experimental investigation of the field of velocity-gradients in turbulent flows. J. Fluid Mech. 242, 169-192.
45. VINCENT, A. & MENEGUZZI, M. 1994 The dynamics of vorticity tubes in homogeneous turbulence. J. Fluid Mech. 258, 245-254.
46. WANG, L. & PETERS, N. 2006 The length-scale distribution function of the distance between extremal points in passive scalar turbulence. J. Fluid. Mech. 554, 457-475.
47. WU, J-Z., ZHOU, Y. & FAN, M. 1999 A note on kinetic energy, dissipation and enstrophy. Phys. Fluids 11, 503-505.
48. ZEFF, B. W., LANTERMAN, D. D., MCALLISTER, R., ROY, R., KOSTELICH, E. J. & LATHROP, D. P. 2003 Measuring intense rotation and dissipation in turbulent flows. Nature 421, 146-149.