(1+1)-dimensional turbulence

Physics of Fluids

Volumn 9, Issue 8, 1997, Pages 2355-2363

  Benzi, R ^a,b   Biferale, L ^b   Tripiccione, R ^c   Trovatore, E ^d  

^a AIPA   (Italy)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

^c INFN SEZIONE DI PISA   (Italy)

^d UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EDDY; MODELING; THREE-DIMENSIONAL FLOW; TURBULENCE;

EID: 0031449796     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869356     Document Type: Article

References (34)

1. A. N. Kolmogorov, "The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers," Dokl. Akad. Nauk SSSR 30, 9 (1941).
2. 2R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, C. Massaioli, and S. Succi, "Extended self-similarity in turbulent flows," Phys. Rev. E 48, R29 (1993); R. Benzi, S. Ciliberto, C. Baudet, and G. R. Chavarria, "On the scaling of three-dimensional homogeneous and isotropic turbulence," Physica D 80, 385 (1994).
3. 2R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, C. Massaioli, and S. Succi, "Extended self-similarity in turbulent flows," Phys. Rev. E 48, R29 (1993); R. Benzi, S. Ciliberto, C. Baudet, and G. R. Chavarria, "On the scaling of three-dimensional homogeneous and isotropic turbulence," Physica D 80, 385 (1994).
4. C. Meneveau and K. R. Sreenivasan, "Simple multifractal cascade model for fully developed turbulence," Phys. Rev. Lett. 59, 1424 (1987).
5. 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. 13, 82 (1962).
6. G. Stolovitzky and K. R. Sreenivasan, "Kolmogorov's refined similarity hypothesis for turbulence and general stochastic processes", Rev. Mod. Phys. 66, 229 (1994).
7. R. Benzi, G. Paladin, G. Parisi, and A. Vulpiani, "On the multifractal nature of fully developed turbulence and chaotic systems," J. Phys. A 17, 3521 (1984).
8. Z. S. She and E. Leveque, "Universal scaling laws in fully developed turbulence," Phys. Rev. Lett. 72, 336 (1994).
9. A. M. Oboukhov, "On the problem of nonlinear interactions in fluid dynamics," Gerlands Beitr. Geophys., Leipzig 82, 282 (1973).
10. A. B. Glukhovsky, "Stability of nonlinear chain-type systems used to model cascaded energy transfer processes," Atmos. Ocean. Phys. 11, 491 (1975).
11. 10J. Eggers and S. Grossmann, "Anomalous turbulent velocity scaling from the Navier-Stokes equation," Phys. Lett. A 156, 444 (1991); "Does deterministic chaos imply intermittency in fully developed turbulence?," Phys. Fluids A 3, 1958 (1991).
12. 10J. Eggers and S. Grossmann, "Anomalous turbulent velocity scaling from the Navier-Stokes equation," Phys. Lett. A 156, 444 (1991); "Does deterministic chaos imply intermittency in fully developed turbulence?," Phys. Fluids A 3, 1958 (1991).
13. 11S. Grossmann and D. Lohse, "Intermittency in the Navier-Stokes dynamics," Z. Phys. B 89, 11 (1992); "Intermittency in turbulence," Physica A 194, 519 (1993); "Scale resolved intermittency in turbulence," Phys. Fluids 6, 611 (1994).
14. 11S. Grossmann and D. Lohse, "Intermittency in the Navier-Stokes dynamics," Z. Phys. B 89, 11 (1992); "Intermittency in turbulence," Physica A 194, 519 (1993); "Scale resolved intermittency in turbulence," Phys. Fluids 6, 611 (1994).
15. 11S. Grossmann and D. Lohse, "Intermittency in the Navier-Stokes dynamics," Z. Phys. B 89, 11 (1992); "Intermittency in turbulence," Physica A 194, 519 (1993); "Scale resolved intermittency in turbulence," Phys. Fluids 6, 611 (1994).
16. L. Kadanoff, "A model of turbulence," Phys. Today 48, 11 (1995).
17. E. B. Gledzer, "System of hydrodymamic type admitting two quadratic integrals of motion," Sov. Phys. Dokl. 18, 216 (1973).
18. 14M. Yamada and K. Ohkitani, "Lyapunov spectrum of a chaotic model of three-demensional turbulence," J. Phys. Soc. Jpn. 56, 4210 (1987); "Temporal intermittency in the energy cascade process and local Lyapunov analysis in fully developed turbulence," Prog. Theor. Phys. 81, 329 (1989).
19. 14M. Yamada and K. Ohkitani, "Lyapunov spectrum of a chaotic model of three-demensional turbulence," J. Phys. Soc. Jpn. 56, 4210 (1987); "Temporal intermittency in the energy cascade process and local Lyapunov analysis in fully developed turbulence," Prog. Theor. Phys. 81, 329 (1989).
20. M. H. Jensen, G. Paladin, and A. Vulpiani, "Intermittency in a cascade model for three dimensional turbulence," Phys. Rev. A 43, 798 (1991).
21. L. Biferale, A. Lambert, R. Lima, and G. Paladin; "Transition to chaos in a shell model of turbulence," Physica D 80, 105 (1995).
22. D. Pisarenko, L. Biferale, D. Courvoisier, U. Frisch, and M. Vergassola, "Further results on multifractality in shell models," Phys. Fluids A 65, 2533 (1993).
23. L. Kadanoff, D. Lohse, J. Wang, and R. Benzi, "Scaling and dissipation in the GOY shell model," Phys. Fluids 7, 617 (1995).
24. F. Waleffe, "The nature of triad interactions in homogeneous turbulence," Phys. Fluids A 4, 350 (1992).
25. L. Biferale and R. Kerr, "Role of inviscid invariants in shell models of turbulence," Phys. Rev. E 52, 6113 (1996).
26. R. Benzi, L. Biferale, R. Kerr, and E. Trovatore, "Helical shell models for three dimensional turbulence," Phys. Rev. E 53, 3541 (1996).
27. T. Nakano, "Direct Interaction approximation of turbulence in the wave packet representation," Phys. Fluids 31, 1420 (1988).
28. R. Benzi, L. Biferale, A. Crisanti, G. Paladin, M. Vergassola, and A. Vulpiani, "A random process for the construction of multiaffine fields," Physica D 65, 352 (1993).
29. V. N. Desnyansky and E. A. Novikov, "Evolution of turbulence spectra to self-similar regime," Izv. Akad. Nauk SSSR Fiz. Atmos. Okeana 10, 127 (1974).
30. C. Battista and the APE Collaboration, "The APE-100 computer: the architecture," Int. J. High Speed Comput. 5, 637 (1993).
31. J. O'Neil and C. Meneveau, "Spatial correlations in turbulence: Predictions from multifractal formalism and comparison with experiments," Phys. Fluids A 5, 158 (1993).
32. R. Benzi, L. Biferale, and E. Trovatore, "Universal statistics of non-linear energy transfer in turbulent models," Phys. Rev. Lett. 77, 3114 (1996).
33. Z. S. She and E. C. Waymire, "Quantized energy cascade and log-Poisson statistics in fully developed turbulence," Phys. Rev. Lett. 74, 262 (1995).
34. S. Grossmann, D. Lohse, and A. Reeh, "Developed turbulence: From full simulations to full mode reductions," preprint (1996).