Modeling transitional plane Couette flow

European Physical Journal B

Volumn 58, Issue 4, 2007, Pages 433-447

  Lagha, M ^a   Manneville, P ^a  

^a ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COUETTE FLOW; SPACE-TIME DEPENDENCE; SUB-CRITICAL BEHAVIOR;

COMPUTER SIMULATION; LAMINAR FLOW; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; STATISTICS; TURBULENT FLOW;

GALERKIN METHODS;

EID: 34748883088     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2007-00243-y     Document Type: Article

References (42)

1. P. Schmid, D.S. Henningson, Stability and transition in shear flows (Springer, 2001)
2. IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions, edited by T. Mullin, R. Kerswell (Springer, 2005)
3. S.A. Orszag, J. Fluid Mech. 50, 689 (1971)
4. D.R. Carlson, S.E. Widnall, M.F. Peeters, J. Fluid Mech. 121, 487 (1982)
5. V.A. Romanov, Anal. Ego. Prilo. 7, 62 (1973)
6. A. Lundbladh, A. Johansson, J. Fluid Mech. 229, 499 (1991)
7. N. Tillmark, P.H. Alfredsson, J. Fluid Mech. 235, 89 (1992)
8. O. Dauchot, F. Daviaud, Europhys. Lett. 28, 225 (1994)
9. A. Prigent, O. Dauchot, Transition to versus from turbulence in subcritical Couette flows in MK05, pp. 195-219
10. J.M. Hamilton, J. Kim, F. Waleffe, J. Fluid Mech. 287, 317 (1995)
11. J. Jiménez, P. Moin, J. Fluid Mech. 225, 213 (1991)
12. F. Waleffe, Phys. Fluids 9, 883 (1997)
13. A. Schmiegel, B. Eckhardt, Phys. Rev. Lett. 79, 5250 (1997)
14. B. Eckhardt, A. Mersmann, Phys. Rev. E. 60, 509 (1999)
15. J. Moehlis, H. Faisst, B. Eckhardt, New J. Phys. 6, 56 (2004)
16. T.R. Smith, J. Moehlis, Ph. Holmes, J. Fluid Mech. 528, 71 (2005)
17. B. Eckhardt, H. Faisst, Dynamical systems and the transition to turbulence, in MK05, pp. 35-50
18. J. Swift, P.C. Hohenberg, Phys. Rev. A 15, 319 (1977)
19. S. Bottin, O. Dauchot, F. Daviaud, P. Manneville, Phys. Fluids 10, 2597 (1998)
20. P. Manneville, F. Locher, C.R. Acad. Sci. Paris 328, Serie IIb, 159 (2000)
21. P. Manneville, O. Dauchot, in Coherent structures in classical systems, edited by D. Reguera, L.L. Bonilla, J.M. Rubi (Springer, 2001)
22. P. Manneville, Theor. Comp. Fluid Dyn. 18, 169 (2004)
23. B.A. Finlayson, The method of weighted residuals and variational principles, with application in fluid mechanics, heat and mass transfer (Academic Press, 1972)
24. P. Glansdorff, I. Prigogine, Structure, Stabilité et Fluctuations (Masson, 1971)
25. P. Manneville, Dissipative structures and weak turbulence (Academic Press, 1990)
26. E.D. Siggia, A. Zippelius, Phys. Rev. Lett. 47, 835 (1981)
27. P. Manneville, in Cellular Structures in Instabilities, edited by J.E. Wesfreid, S. Zaleski, Lect. Notes in Physics 210, 137 (1983)
28. A. Prigent, G. Grégoire, H. Chaté, O. Dauchot, W. van Saarloos, Phys. Rev. Lett. 89, 014501 (2002)
29. D. Gottlieb, S.A. Orszag, Numerical analysis of spectral methods: theory and applications (SIAM, 1977)
30. D. Barkley, L.S. Tuckerman, Phys. Rev. Lett. 94, 014502 (2005)
31. S. Bottin, H. Chaté, Eur. Phys. J. B 6, 143 (1998)
32. B. Hof, J. Westerweel, T.M. Schneider, B. Eckhardt, Nature 443, 59 (2006)
33. J. Peixinho, T. Mullin, Phys. Rev. Lett. 96, 094501 (2006)
34. A.P. Willis, R.R. Kerswell, Phys. Rev. Lett. 98, 014501 (2007)
35. S. Bottin, F. Daviaud, P. Manneville, O. Dauchot, Europhys. Lett. 43, 171 (1998)
36. H. Faisst, B. Eckhardt, J. Fluid Mech. 504, 343 (2004)
37. M. Lagha, P. Manneville, Large scale flow around turbulent spots, to appear in Phys. Fluids, 2007
38. Y. Pomeau, C.R. Acad. Sc. Paris 300, série II, 239 (1985)
39. B. Eckhardt, T.M. Schneider, Edge states in the transition to turbulence in pipe flow, EFMC6 Stockholm, June 26-30, 2006
40. Y. Pomeau, Physica D 23, 3 (1986)
41. H. Chaté, P. Manneville, Spatiotemporal intermittency, in Turbulence, a tentative dictionary, edited by P. Tabeling, O. Cardoso (Plenum, 1995)
42. O. Kitoh, K. Nakabyashi, F. Nishimura, J. Fluid Mech. 539, 199 (2005)