Localness of energy cascade in hydrodynamic turbulence. I. smooth coarse graining

Physics of Fluids

Volumn 21, Issue 11, 2009, Pages 1-9

  Eyink, Gregory L ^a   Aluie, Hussein ^a,b  

^a Departments of Orthopaedic Surgery   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BUDGET CONTROL; ENERGY TRANSFER; KINETIC ENERGY; KINETICS; NAVIER STOKES EQUATIONS; TURBULENCE;

COARSE GRAINING; HYDRODYNAMIC TURBULENCE; LOW-PASS FILTERING; NAVIER-STOKES TURBULENCE; PSEUDOSPECTRAL SIMULATIONS; SCALING PREDICTION; SCALING PROPERTIES; TURBULENT KINETIC ENERGY;

LOW PASS FILTERS;

EID: 76249108086     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3266883     Document Type: Article

References (33)

1. Eyink GL. Locality of turbulent cascades. Physica D 2005, 207:91. PDNPDT, 0167-2789, 10.1016/j.physd.2005.05.018.
2. Alexakis A, Mininni PD, Pouquet A. Imprint of large-scale flows on turbulence. Phys. Rev. Lett. 2005, 95:264503. PRLTAO, 0031-9007, 10.1103/PhysRevLett.95.264503
3. Mininni PD, Alexakis A, Pouquet A. Large-scale flow effects, energy transfer, and self-similarity on turbulence. Phys. Rev. E 2006, 74:016303. PLEEE8, 1063-651X, 10.1103/PhysRevE.74.016303
4. Mininni PD, Alexakis A, Pouquet A. Nonlocal interactions in hydrodynamic turbulence at high Reynolds numbers: The slow emergence of scaling laws. Phys. Rev. E 2008, 77:036306. PLEEE8, 1063-651X, 10.1103/PhysRevE.77.036306
5. Domaradzki JA, Carati D. An analysis of the energy transfer and the locality of nonlinear interactions in turbulence. Phys. Fluids 2007, 19:085112. PHFLE6, 1070-6631, 10.1063/1.2772248
6. Domaradzki JA, Carati D. A comparison of spectral sharp and smooth filters in the analysis of nonlinear interactions and energy transfer in turbulence. Phys. Fluids 2007, 19:085111. PHFLE6, 1070-6631, 10.1063/1.2760281
7. Domaradzki JA, Teaca B, Carati D. Locality properties of the energy flux in turbulence. Phys. Fluids 2009, 21:025106. PHFLE6, 1070-6631, 10.1063/1.3081558
8. Kraichnan RH. Isotropic turbulence and inertial-range structure. Phys. Fluids 1966, 9:1728. PHFLE6, 1070-6631, 10.1063/1.1761928
9. Kraichnan RH. Inertial-range transfer in two- and three-dimensional turbulence. J. Fluid Mech. 1971, 47:525. JFLSA7, 0022-1120, 10.1017/S0022112071001216
10. Zhou Y. Degrees of locality of energy transfer in the inertial range. Phys. Fluids 1993, 5:1092. PHFLE6, 1070-6631, 10.1063/1.858593
11. Zhou Y. Interacting scales and energy transfer in isotropic turbulence. Phys. Fluids 1993, 5:2511. PHFLE6, 1070-6631, 10.1063/1.858764
12. Brasseur JG, Corrsin S. Spectral evolution of the Navier-Stokes equations for low order couplings of Fourier modes. Advances in Turbulence; Proceedings of the First European Turbulence Conference 1987, 152-162, Ecully, France, 14 July (Springer-Verlag, New York)
13. Yeung PK, Brasseur JG. The response of isotropic turbulence to isotropic and anisotropic forcing at the large scales. Phys. Fluids 1991, 3:884. PHFLE6, 1070-6631, 10.1063/1.857966
14. Domaradzki JA, Rogallo RS. Local energy transfer and nonlocal interactions in homogeneous, isotropic turbulence. Phys. Fluids 1990, 2:413. PHFLE6, 1070-6631, 10.1063/1.857736
15. Ohkitani K, Kida S. Triad interactions in a forced turbulence. Phys. Fluids 1992, 4:794. PHFLE6, 1070-6631, 10.1063/1.858296
16. Tennekes H, Lumley JL. A First Course in Turbulence 1972, (The MIT Press, Cambridge)
17. Aluie H, Eyink GL. Localness of energy cascade in hydrodynamic turbulence. II. Sharp-spectral filter. Phys. Fluids 2009, 21:115108. PHFLE6, 1070-6631
18. Germano M. Turbulence: The filtering approach. J. Fluid Mech. 1992, 238:325. JFLSA7, 0022-1120, 10.1017/S0022112092001733
19. Vreman B, Geurts B, Kuerten H. Realizability conditions for the turbulent stress tensor in large-eddy simulation. J. Fluid Mech. 1994, 278:351. JFLSA7, 0022-1120, 10.1017/S0022112094003745
20. Kraichnan RH. Kolmogorov's hypotheses and Eulerian turbulence theory. Phys. Fluids 1964, 7:1723. PHFLE6, 1070-6631, 10.1063/1.2746572
21. Speziale CG. Galilean invariance of subgrid-scale stress models in the large-eddy simulation of turbulence. J. Fluid Mech. 1985, 156:55. JFLSA7, 0022-1120, 10.1017/S0022112085001987
22. Cheskidov A, Constantin P, Friedlander S, Shvydkoy R. Energy conservation and Onsager's conjecture for the Euler equations. Nonlinearity 2008, 21:1233. NONLE5, 0951-7715, 10.1088/0951-7715/21/6/005
23. Frisch U. Turbulence: The legacy of A. N. Kolmogorov 1995, (Cambridge University Press, London)
24. Vergassola M, Frisch U. Wavelet transforms of self-similar processes. Physica D 1991, 54:58. PDNPDT, 0167-2789, 10.1016/0167-2789(91)90107-K
25. Arnéodo A, Bacry E, Muzy JF. Oscillating singularities in locally self-similar functions. Phys. Rev. Lett. 1995, 74:4823. PRLTAO, 0031-9007, 10.1103/PhysRevLett.74.4823
26. Eyink GL. Besov spaces and the multifractal hypothesis. J. Stat. Phys. 1995, 78:353. JSTPBS, 0022-4715, 10.1007/BF02183353
27. Perrier V, Basdevant C. Besov norms in terms of the continuous wavelet transform: Application to structure functions. Math. Models Meth. Appl. Sci. 1996, 6:649. MMMSEU, 0218-2025, 10.1142/S0218202596000262
28. We remark here that the additional decorrelation resulting from space averaging of signed quantities can explain why Benzi et al. (Ref. 32) see a faster than expected decay rate of the multiscale structure functions, shown in their Fig. 8.
29. Kolmogorov AN. A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. J. Fluid Mech. 1962, 13:82. JFLSA7, 0022-1120, 10.1017/S0022112062000518
30. Eyink GL. Lagrangian field theory, multifractals, and universal scaling in turbulence. Phys. Lett. A 1993, 172:355. PYLAAG, 0375-9601, 10.1016/0375-9601(93)90117-I
31. L'vov V, Procaccia I. Fusion rules in turbulent systems with flux equilibrium. Phys. Rev. Lett. 1996, 76:2898. PRLTAO, 0031-9007, 10.1103/PhysRevLett.76.2898
32. Benzi R, Biferale L, Ruiz-Chavarria G, Ciliberto S, Toschi F. Multiscale velocity correlation in turbulence: Experiments, numerical simulations, synthetic signals. Phys. Fluids 1999, 11:2215. PHFLE6, 1070-6631, 10.1063/1.870083
33. Kraichnan RH. The structure of isotropic turbulence at very high Reynolds numbers. J. Fluid Mech. 1959, 5:497. JFLSA7, 0022-1120, 10.1017/S0022112059000362