Spatiotemporal perspective on the decay of turbulence in wall-bounded flows

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

Volumn 79, Issue 2, 2009, Pages

  Manneville, Paul ^a  

^a ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS; EMBEDDED SYSTEMS; FLUID DYNAMICS; LAMINAR FLOW; PHASE TRANSITIONS; REYNOLDS NUMBER; TURBULENCE;

ABRUPT TRANSITIONS; CHAOTIC TRANSIENTS; FIRST-ORDER PHASE TRANSITIONS; IN PLANES; LOW-DIMENSIONAL DYNAMICAL SYSTEMS; PLANE COUETTE FLOWS; REDUCED MODELS; SPATIO-TEMPORAL CHAOS; WALL-BOUNDED FLOWS;

CHAOS THEORY;

EID: 62749128568     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.025301     Document Type: Article

References (40)

1. IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions, edited by, T. Mullin, and, R. Kerswell, (Springer, Dordrecht, 2005).
2. A. Willis, J. Peixhino, R. Kerswell, and T. Mullin, Philos. Trans. R. Soc. London, Ser. A 366, 2671 (2008). 10.1098/rsta.2008.0063
3. F. Daviaud, J. Hegseth, and P. Bergé, Phys. Rev. Lett. 69, 2511 (1992); 10.1103/PhysRevLett.69.2511
4. O. Dauchot and F. Daviaud, Phys. Fluids 7, 335 (1995). 10.1063/1.868631
5. (a) F. Waleffe, Phys. Fluids 9, 883 (1997); 10.1063/1.869185
6. F. Waleffe, (b) Phys. Rev. Lett. 81, 4140 (1998). 10.1103/PhysRevLett.81. 4140
7. J. Jimenez and P. Moin, J. Fluid Mech. 225, 213 (1991). 10.1017/S0022112091002033
8. H. Faisst and B. Eckhardt, Phys. Rev. Lett. 91, 224502 (2003); 10.1103/PhysRevLett.91.224502
9. H. Wedin and R. Kerswell, J. Fluid Mech. 508, 333 (2004); 10.1017/S0022112004009346
10. C. C. T. Pringle, Y. Duguet, and R. R. Kerswell, Philos. Trans. R. Soc. London, Ser. A 367, 457 (2009). 10.1098/rsta.2008.0236
11. M. Nagata, J. Fluid Mech. 217, 519 (1990); 10.1017/S0022112090000829
12. G. Kawahara and S. Kida, J. Fluid Mech. 449, 291 (2001); 10.1017/S0022112001006243
13. D. Viswanath, J. Fluid Mech. 580, 339 (2007). 10.1017/S0022112007005459
14. F. Waleffe, Phys. Fluids 15, 1517 (2003). 10.1063/1.1566753
15. R. Clever and F. Busse, J. Fluid Mech. 344, 137 (1997). 10.1017/S0022112097005818
16. T. Itano and S. Toh, J. Phys. Soc. Jpn. 70, 703 (2001). 10.1143/JPSJ.70.703
17. B. Eckhardt, T. Schneider, B. Hof, and J. Westerweel, Annu. Rev. Fluid Mech. 39, 447 (2007). 10.1146/annurev.fluid.39.050905.110308
18. B. Hof, J. Westerweel, T. Schneider, and B. Eckhardt, Nature (London) 443, 59 (2006). 10.1038/nature05089
19. J. Peixinho and T. Mullin, Phys. Rev. Lett. 96, 094501 (2006); 10.1103/PhysRevLett.96.094501
20. A. P. Willis and R. R. Kerswell, Phys. Rev. Lett. 98, 014501 (2007). 10.1103/PhysRevLett.98.014501
21. (a) S. Bottin, F. Daviaud, P. Manneville, and O. Dauchot, Europhys. Lett. 43, 171 (1998); 10.1209/epl/i1998-00336-3
22. (b) S. Bottin and H. Chaté, Eur. Phys. J. B 6, 143 (1998). 10.1007/s100510050536
23. P. Manneville, in IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions, pp. 1-33.
24. Y. Pomeau, Physica D 23, 3 (1986). 10.1016/0167-2789(86)90104-1
25. P. Bergé, Y. Pomeau, and C. Vidal, L'Espace Chaotique (Hermann, Paris, 1998).
26. H. Hinrichsen, Adv. Phys. 49, 815 (2000). 10.1080/00018730050198152
27. K. Kaneko, Prog. Theor. Phys. 74, 1033 (1985). 10.1143/PTP.74.1033
28. H. Chaté and P. Manneville, in Turbulence: A Tentative Dictionary, edited by, P. Tabeling, and, O. Cardoso, (Plenum, New York, 1995), pp. 111-116.
29. T. Bohr, M. van Hecke, R. Mikkelsen, and M. Ipsen, Phys. Rev. Lett. 86, 5482 (2001). 10.1103/PhysRevLett.86.5482
30. P. Grassberger, J. Stat. Mech.: Theory Exp. (2006) P01004. 10.1088/1742-5468/2006/01/P01004
31. H. Chaté and P. Manneville, Europhys. Lett. 6, 591 (1988). 10.1209/0295-5075/6/7/004
32. (a) M. Lagha and P. Manneville, Eur. Phys. J. B 58, 433 (2007); 10.1140/epjb/e2007-00243-y
33. (b) M. Lagha and P. Manneville, Phys. Fluids 19, 094105 (2007). 10.1063/1.2768946
34. (a) D. Barkley and L. S. Tuckerman, Phys. Rev. Lett. 94, 014502 (2005); 10.1103/PhysRevLett.94.014502
35. (b) D. Barkley and L. S. Tuckerman, J. Fluid Mech. 576, 109 (2007). 10.1017/S002211200600454X
36. A. Prigent, G. Grégoire, H. Chaté, O. Dauchot, and W. van Saarloos, Phys. Rev. Lett. 89, 014501 (2002). 10.1103/PhysRevLett.89.014501
37. P. Manneville, Pramana, J. Phys. 70, 1009 (2008). 10.1007/s12043-008- 0105-1
38. J. Hoshen and R. Kopelman, Phys. Rev. B 14, 3438 (1976). 10.1103/PhysRevB.14.3438
39. E. Domany, Weizmann Institute, Rehovot, Israel, Technical Report 1999 (unpublished), http://www.weizmann.ac.il/home/fedomany/RG99/coarsening.m
40. A. Willis and R. Kerswell, J. Fluid Mech. 619, 213 (2009). 10.1017/S0022112008004618