Transient turbulence in plane Couette flow

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

Volumn 81, Issue 1, 2010, Pages

  Schneider, Tobias M ^a,b   De Lillo, Filippo ^b,c   Buehrle, Juergen ^b   Eckhardt, Bruno ^b   Dörnemann, Tim ^b   Dörnemann, Kay ^b   Freisleben, Bernd ^b  

^a HARVARD UNIVERSITY   (United States)

^b PHILIPPS UNIVERSITY MARBURG   (Germany)

^c UNIVERSITY OF TURIN   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL REYNOLDS NUMBER; IN-PLANE; INTERMEDIATE REYNOLDS NUMBER; NUMERICAL RESULTS; NUMERICAL STUDIES; PARALLEL PLATES; PLANE COUETTE FLOW;

CHANNEL FLOW; NUMERICAL ANALYSIS; REYNOLDS NUMBER; TURBULENCE;

PARALLEL FLOW;

EID: 76649117448     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.015301     Document Type: Article

References (31)

1. V. Romanov, Funct. Anal. Appl. 137, 7 (1973).
2. B. Eckhardt, T. M. Schneider, B. Hof, and J. Westerweel, Annu. Rev. Fluid Mech. 39, 447 (2007). 10.1146/annurev.fluid.39.050905.110308
3. S. Bottin and H. Chaté, Eur. Phys. J. B 6, 143 (1998). 10.1007/s100510050536
4. A. Schmiegel and B. Eckhardt, Phys. Rev. Lett. 79, 5250 (1997). 10.1103/PhysRevLett.79.5250
5. B. Eckhardt, Nonlinearity 21, T1 (2008). 10.1088/0951-7715/21/1/T01
6. S. Bottin, F. Daviaud, P. Manneville, and O. Dauchot, Europhys. Lett. 43, 171 (1998). 10.1209/epl/i1998-00336-3
7. B. Hof, J. Westerweel, T. M. Schneider, and B. Eckhardt, Nature (London) 443, 59 (2006). 10.1038/nature05089
8. J. Peixinho and T. Mullin, Phys. Rev. Lett. 96, 094501 (2006). 10.1103/PhysRevLett.96.094501
9. A. P. Willis and R. R. Kerswell, Phys. Rev. Lett. 98, 014501 (2007). 10.1103/PhysRevLett.98.014501
10. B. Hof, J. Westerweel, T. M. Schneider, and B. Eckhardt, e-print arXiv:0707.2642.
11. A. P. Willis and R. R. Kerswell, e-print arXiv:0707.2684.
12. B. Hof, A. de Lozar, D. J. Kuik, and J. Westerweel, Phys. Rev. Lett. 101, 214501 (2008). 10.1103/PhysRevLett.101.214501
13. T. Tel and Y.-C. Lai, Phys. Rep. 460, 245 (2008). 10.1016/j.physrep.2008. 01.001
14. S. Malerud, K. J. Måløy, and W. I. Goldburg, Phys. Fluids 7, 1949 (1995). 10.1063/1.868509
15. F. Daviaud, J. Hegseth, and P. Bergé, Phys. Rev. Lett. 69, 2511 (1992). 10.1103/PhysRevLett.69.2511
16. O. Dauchot and F. Daviaud, Phys. Fluids 7, 335 (1995). 10.1063/1.868631
17. S. Bottin, O. Dauchot, and F. Daviaud, Phys. Rev. Lett. 79, 4377 (1997). 10.1103/PhysRevLett.79.4377
18. S. Bottin, O. Dauchot, F. Daviaud, and P. Manneville, Phys. Fluids 10, 2597 (1998). 10.1063/1.869773
19. A. Schmiegel, Ph.D. thesis, Fachbereich Physik, Philipps-Universität Marburg, 1999.
20. D. Barkley and L. S. Tuckerman, Phys. Rev. Lett. 94, 014502 (2005). 10.1103/PhysRevLett.94.014502
21. D. Barkley and L. S. Tuckerman, in Proceedings of the IUTAM Symposium on Non-Uniqueness of Solutions to the Navier-Stokes Equations and their Connection with Laminar-Turbulent Transition (Springer, Bristol, England, 2005).
22. J. Kim, P. Moin, and R. Moser, J. Fluid Mech. 177, 133 (1987). 10.1017/S0022112087000892
23. C. Canuto, A. Hussaini, A. Quarteroni, and T. Zang, Spectral Methods in Fluid Dynamics, Springer Series in Computational Fluid Dynamics (Springer, New York, 1988).
24. F. De Lillo and B. Eckhardt, Phys. Rev. E 76, 016301 (2007). 10.1103/PhysRevE.76.016301
25. J. Hamilton, J. Kim, and F. Waleffe, J. Fluid Mech. 287, 317 (1995). 10.1017/S0022112095000978
26. J. Komminaho, A. Lundbladh, and A. V. Johansson, J. Fluid Mech. 320, 259 (1996). 10.1017/S0022112096007537
27. M. Heidt, T. Dörnemann, K. Dörnemann, and B. Freisleben, in 8th IEEE International Symposium on Cluster Computing and the Grid (CCGrid 08) (IEEE, New York, 2008), pp. 316-323.
28. T. M. Schneider and B. Eckhardt, Phys. Rev. E 78, 046310 (2008). 10.1103/PhysRevE.78.046310
29. B. Eckhardt and H. Faisst, in Laminar-Turbulent Transition and Finite Amplitude Solutions, edited by, T. Mullin, and, R. R. Kerswell, (Springer, Dordrecht, 2005), pp. 35-50. 10.1007/1-4020-4049-0-2
30. J. Schumacher and B. Eckhardt, Phys. Rev. E 63, 046307 (2001). 10.1103/PhysRevE.63.046307
31. M. Lagha and P. Manneville, Eur. Phys. J. B 58, 433 (2007). 10.1140/epjb/e2007-00243-y