Discreteness and resolution effects in rapidly rotating turbulence

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

Volumn 78, Issue 5, 2008, Pages

  Bourouiba, Lydia ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIRECT NUMERICAL SIMULATION; FLOW INTERACTIONS; KINEMATICS; ROTATION;

CAPILLARY WAVES; CONTINUOUS MODES; CORIOLIS TERMS; DISCRETENESS EFFECTS; DO-MAINS; ENERGY CASCADES; FINITE DOMAINS; INERTIAL WAVES; KINEMATIC MODELS; NONDIMENSIONAL; NONLINEAR INTERACTIONS; NONLINEAR TERMS; NUMERICAL DOMAINS; NUMERICAL SIMULATIONS; PERIODIC DOMAINS; RESOLUTION EFFECTS; RESONANT CONDITIONS; RESONANT INTERACTIONS; ROSSBY NUMBERS; ROTATING TURBULENCES; SET-UPS;

TURBULENCE;

EID: 57349152430     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.056309     Document Type: Article

References (38)

1. H. P. Greenspan, The Theory of Rotating Fluid (Cambridge University Pres, Cambridge, 1968).
2. G. I. Taylor, Proc. R. Soc. London, Ser. A 10.1098/rspa.1923.0103 104, 213 (1923).
3. A. D. McEwan, Nature (London) 10.1038/260126a0 260, 126 (1976).
4. C. N. Baroud, B. B. Plapp, Z. S. She, and H. L. Swinney, Phys. Rev. Lett. 10.1103/PhysRevLett.88.114501 88, 114501 (2002).
5. J. Bardina, J. H. Ferziger, and R. S. Rogallo, J. Fluid Mech. 10.1017/S0022112085001550 154, 321 (1985).
6. P. Bartello, O. Métais, and M. Lesieur, J. Fluid Mech. 10.1017/S0022112094001837 273, 1 (1994).
7. L. Bourouiba and P. Bartello, J. Fluid Mech. 10.1017/S0022112007007124 587, 139 (2007).
8. M. Hossain, Phys. Fluids 10.1063/1.868278 6, 1077 (1994).
9. P. K. Yeung and Y. Zhou, Phys. Fluids 10.1063/1.869810 10, 2895 (1998).
10. L. M. Smith and F. Waleffe, Phys. Fluids 10.1063/1.870022 11, 1608 (1999).
11. Q. Chen, S. Chen, G. L. Eyink, and D. D. Holm, J. Fluid Mech. 10.1017/S0022112005006324 542, 139 (2005).
12. A. C. Newell, J. Fluid Mech. 10.1017/S0022112069001108 35, 255 (1969).
13. L. M. Smith and Y. Lee, J. Fluid Mech. 10.1017/S0022112005004660 535, 111 (2005).
14. E. A. Kartashova, Phys. Rev. Lett. 10.1103/PhysRevLett.72.2013 72, 2013 (1994).
15. E. Kartashova, in Nonlinear Waves and Weak Turbulence, edited by, V. E. Zakharov, (American Mathematical Society, Providence, R.I., 1998), pp. 95-129.
16. A. Pushkarev, Eur. J. Mech. B/Fluids 10.1016/S0997-7546(99)80032-6 18, 345 (1999).
17. C. Connaughton, S. Nazarenko, and A. Pushkarev, Phys. Rev. E 10.1103/PhysRevE.63.046306 63, 046306 (2001).
18. M. Tanaka and N. Yokoyama, Fluid Dyn. Res. 10.1016/j.fluiddyn.2003.12.001 34, 199 (2004).
19. V. E. Zakharov, A. O. Korotkevich, A. N. Pushkarev, and A. I. Dyachenko, JETP Lett. 82, 544 (2005).
20. Y. V. Lvov, S. Nazarenko, and B. Pokorni, Physica D 10.1016/j.physd.2006. 04.003 218, 24 (2006).
21. S. Nazarenko, J. Stat. Mech.: Theory Exp. (2006) L02002.
22. S. Nazarenko, New J. Phys. 10.1088/1367-2630/9/8/307 9, 307 (2007).
23. F. Bellet, F. Godeferd, J. Scott, and C. Cambon, J. Fluid Mech. 23, 81 (2006).
24. C. Cambon, N. N. Mansour, and F. S. Godeferd, J. Fluid Mech. 10.1017/S002211209700493X 337, 303 (1997).
25. L. Bourouiba, Phys. Fluids 10.1063/1.2958319 20, 075112 (2008).
26. C. Morize and F. Moisy, Phys. Fluids 10.1063/1.2212990 18, 065107 (2006).
27. A. Ibbetson and D. J. Tritton, J. Fluid Mech. 10.1017/S0022112075001164 68, 639 (1975).
28. G. P. Bewley, D. P. Lathrop, L. R. M. Maas, and K. R. Screenivasan, Phys. Fluids 10.1063/1.2747679 19, 071701 (2007).
29. L. Jacquin, O. Leuchter, C. Cambon, and J. Mathieu, J. Fluid Mech. 10.1017/S0022112090003172 220, 1 (1990).
30. F. Waleffe, Phys. Fluids A 10.1063/1.858309 4, 350 (1992).
31. F. Waleffe, Phys. Fluids A 10.1063/1.858651 5, 677 (1993).
32. A. Babin, A. Mahalov, and B. Nicolaenko, Eur. J. Mech. B/Fluids 15, 291 (1996).
33. A. Babin, A. Mahalov, and B. Nicolaenko, Theor. Comput. Fluid Dyn. 10.1007/s001620050090 11, 215 (1998).
34. C. Cambon, R. Rubinstein, and F. S. Godeferd, New J. Phys. 10.1088/1367-2630/6/1/073 6, 73 (2004).
35. E. Kartashova, Phys. Rev. Lett. 10.1103/PhysRevLett.98.214502 98, 214502 (2007).
36. J. P. Boyd, Chebyshev & Fourier Spectral Methods (Springer-Verlag, Berlin, 1989).
37. W.-C. Müller and M. Thiele, Europhys. Lett. 10.1209/0295-5075/77/ 34003 77, 34003 (2007).
38. S. Galtier, S. Nazarenko, A. C. Newell, and A. Pouquet, J. Plasma Phys. 10.1017/S0022377899008284 63, 447 (2000).