Inertial range scaling in numerical turbulence with hyperviscosity

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 2 2, 2004, Pages

  Haugen, Nils Erland L ^a   Brandenburg, Axel ^b  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b NORDITA   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBILITY OF LIQUIDS; COMPUTER SIMULATION; ISOTHERMS; KINETIC ENERGY; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; WIND TUNNELS;

BOTTLENECK EFFECTS; DISSIPATION RATE; ENERGY SPECTRUM; HYPERVISCOSITY;

TURBULENCE;

EID: 42749107331     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.026405     Document Type: Article

References (34)

1. G. Falkovich, Phys. Fluids 6, 1411 (1994).
2. D. Lohse and A. Müller-Groeling, Phys. Rev. Lett. 74, 1747 (1995); Phys. Rev. E 54, 395 (1996).
3. D. Lohse and A. Müller-Groeling, Phys. Rev. Lett. 74, 1747 (1995); Phys. Rev. E 54, 395 (1996).
4. Z.-S. She and E. Jackson, Phys. Fluids A 5, 1526 (1993).
5. Y. Kaneda, T. Ishihara, M. Yokokawa, K. Itakura, and A. Uno, Phys. Fluids 15, L21 (2003).
6. B. R. Pearson, P. Å. Krogstad, and G. R. Johnson, in Reynolds Number Scaling in Turbulent Flow, edited by A. J. Smith (Kluwer Academic, Dordrecht, 2003), pp. 229-236.
7. D. H. Porter, P. R. Woodward, and A. Pouquet, Phys. Fluids 10, 237 (1998).
8. T. Gotoh and D. Fukayama, Phys. Rev. Lett. 86, 3775 (2001).
9. C. Basdevant, B. Legras, R. Sadourny, and M. Beland, J. Atmos. Sci. 38, 2305 (1981).
10. M. Meneguzzi, U. Frisch, and A. Pouquet, Phys. Rev. Lett. 47, 1060 (1981).
11. J. C. McWilliams, J. Fluid Mech. 146, 21 (1984).
12. T. Passot and A. Pouquet, J. Comput. Phys. 75, 300 (1988).
13. V. Borue and S. Orszag, Europhys. Lett. 29, 687 (1995).
14. D. Biskamp, E. Schwarz, and A. Celani, Phys. Rev. Lett. 81, 4855 (1998).
15. D. Biskamp and W.-C. Müller, Phys. Plasmas 7, 4889 (2000).
16. G. K. Batchelor, The Theory of Homogeneous Turbulence (Cambridge University Press, Cambridge, 1953), p. 50.
17. J. O. Hinze, Turbulence, 2nd ed. (McGraw-Hill, New York, 1975), p. 202.
18. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, MA, 1987), Vol. 2, Sec. 12.
19. W. Dobler, N. E. L. Haugen, T. A. Yousef, and A. Brandenburg, Phys. Rev. E 68, 026304 (2003).
20. http://www.nordita.dk/software/pencil-code/
21. J. Cho, A. Lazarian, and E. Vishniac, Astrophys. J. 595, 812 (2003).
22. A. Brandenburg, in Advances in Nonlinear Dynamos. The Fluid Mechanics of Astrophysics and Geophysics, edited by A. Ferriz-Mas and M. Núñez (Taylor & Francis, London, 2003), Vol. 9, p. 269.
23. M. Christensson, M. Hindmarsh, and A. Brandenburg, Phys. Rev. E 64, 056405 (2001).
24. N. E. L. Haugen, W. Dobler, and A. Brandenburg, Phys. Rev. E 70, 016308 (2004).
25. Z.-S. She and E. Leveque, Phys. Rev. Lett. 72, 336 (1994).
26. K. R. Sreenivasan, Phys. Fluids 10, 528 (1998).
27. B. R. Pearson, T. A. Yousef, N. E. L. Haugen, A. Brandenburg, and P. Å. Krogstad, e-print physics/0404114.
28. R. Benzi, S. Ciliberto, R. Tripiccione, C. Baudet, F. Massaioli, and S. Succi, Phys. Rev. E 48, R29 (1993).
29. H. S. Kang, S. Chester, and C. Meneveau, J. Fluid Mech. 480, 129 (2003).
30. T. Gotoh, Comput. Phys. Commun. 147, 530 (2002).
31. D. Porter, A. Pouquet, and P. Woodward, Phys. Rev. E 67, 026301 (2002).
32. M. Siefert and J. Peinke, e-print physics/0309106.
33. B. R. Pearson, P. Å. Krogstad, and W. van de Water, Phys. Fluids 14, 1288 (2002).
34. A. Brandenburg and G. R. Sarson, Phys. Rev. Lett. 88, 055003 (2002).