Intermittency and eddy viscosities in dynamical models of turbulence

Physics of Fluids

Volumn 11, Issue 5, 1999, Pages 1221-1228

  Benzi, R ^a   Biferale, L ^b   Succi, S ^c   Toschi, F ^d  

^a AIPA   (Italy)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

^c CNR   (Italy)

^d UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004671466     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869894     Document Type: Article

References (25)

1. U. Frisch, Turbulence: The legacy of A. N. Kolmogorov (Cambridge U.P., Cambridge, UK, 1995).
2. V. L'vov and I. Procaccia, "Toward a non-perturbative theory of hydroshy; dynamic turbulence: Fusion rules, exact bridge relations and anomalous viscous scaling functions,Phys. Rev. E 54, 6268 (1996).
3. V. Borue and S. A. Orszag, "Forced three-dimensional homogeneous turshy; bulence with hyperviscosity," Europhys. Lett. 29, 687 (1995).
4. N. Cao, S. Chen, and S.-Z. She, "Scalings and the relative scalings in the Navier-Stokes turbulence," Phys. Rev. Lett. 76, 3711 (1996).
5. E. Leveque and S.-Z. She, "Viscous effects on inertial-range scaling in a dynamical model of turbulence," Phys. Rev. Lett. 75, 2690 (1995).
6. L. P. Kadanoff, "A model of turbulence," Phys. Today 48, 11 (1995).
7. G. L. Eyink, "The Multifractal Model of Turbulence and A Priori Estishy; mates in Large-Eddy Simulation I and II," Preprint University of Arizona, chao-dyn/9602018 and chao-dyn/9602019 (1996).
8. R. H. Kraichnan, "Eddy-viscosity in two and three dimensions," J. Atshy; mos. Sci. 33, 1521 (1976).
9. J. P. Chollet and M. Lesieur, "Parametrization of small scales of three-dimensional isotropic turbulence using spectral closures," J. Atmos. Sci. 38, 2746 (1981).
10. R. Benzi, L. Biferale, R. Tripiccione, and E. Trovatore, "(1+1)-dimensional turbulence," Phys. Fluids 97, 2355 (1997).
11. E. Aurell, E. Dormy, and P. Frick, "Binary tree models of high-Reynolds-number turbulence," Phys. Rev. E 56, 1692 (1997).
12. K. Ohkitani and M. Yamada, "Temporal intermittency in the energy casshy; cade process and local Lyapunov analysis in fully developed model of turbulence," Prog. Theor. Phys. 89, 329 (1989).
13. M. H. Jensen, G. Paladin, and A. Vulpiani, "Intermittency in a cascade model for three dimensional turbulence," Phys. Rev. A 43, 798 (1991).
14. L. Kadanoff, D. Lohse, J. Wang, and R. Benzi, "Scaling and dissipation in the GOY shell model," Phys. Fluids 7, 617 (1995).
15. L. Biferale and R. Kerr, "On the role of inviscid invariants in shell models of turbulence," Phys. Rev. E 52, 6113 (1995).
16. R. Benzi, L. Biferale, R. Kerr, and E. Trovatore, "Helical shell models for 3-dimensional turbulence," Phys. Rev. E 53, 3541 (1996).
17. U. Frisch and S. Orszag, "Turbulence: challenge for theory and experishy; ments," Phys. Today 43 (1), 23 (1990).
18. J. Smagorinski, "General circulation experiments with the primitive equashy; tions. I. The basic experiment," Mon. Weather Rev. 91, 99 (1963).
19. U. Piomelli, P. Moin, W. Cabot, and S. Lee, "Subgrid scale backscatter in turbulent and transitional flows," Phys. Fluids A 3, 1766 (1991).
20. O. Metais and M. Lesieur, "Spectral large eddy simulation of isotropic and stratified turbulence," J. Fluid Mech. 239, 157 (1992).
21. R. Benzi, L. Biferale, and E. Trovatore, "Universal energy transfer statisshy; tics in turbulent dynamical models," Phys. Rev. Lett. 77, 3114 (1996).
22. V. Borue and S. Orszag, "Local energy flux and subgrid-scale statistics in three-dimensional turbulence," J. Fluid Mech. 366, 1 (1988).
23. J. Ferziger, "Simulation and Modeling of Turbulent Flows," ICASE/Larc series in Comput. Science and Engineering, edited by T. Gatski, Y. Husshy; saini, and J. Lumley (Oxford U.P., Oxford, 1996), p. 108.
24. J. Boris, F. Grinstein, E. Oran, and R. Kolbe, "New insights into large eddy simulation," Fluid Dyn. Res. 10, 199 (1992).
25. D. Lohse and A. M. Groeling, "Bottleneck effects in turbulence: Scaling phenomena in r-versus p-space," Phys. Rev. Lett. 73, 432 (1994).