Laminarization of minimal plane Couette flow: Going beyond the basin of attraction of turbulence

Physics of Fluids

Volumn 17, Issue 4, 2005, Pages

  Kawahara, Genta ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; ROTATION; STABILITY; TURBULENCE;

COUETTE FLOW; LAMINARIZATION; PERIODIC ORBITS; PHASE-SPACE STRUCTURES;

LAMINAR FLOW;

COUETTE FLOW;

EID: 17444418319     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1890428     Document Type: Article

References (13)

1. J. Kim, "Control of turbulent boundary layers," Phys. Fluids PHFLE6 1070-6631 10.1063/1.1564095 15, 1093 (2003).
2. T. R. Bewley, P. Moin, and R. Temam, "DNS-based predictive control of turbulence: An optimal benchmark for feedback algorithms," J. Fluid Mech. JFLSA7 0022-1120 447, 179 (2001).
3. τ = 100 turbulence using gain scheduling and linear state-feedback control," Phys. Fluids PHFLE6 1070-6631 10.1063/1.1608939 15, 3572 (2003).
4. E. Ott, C. Grebogi, and J. A. Yorke, "Controlling chaos," Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.1196 64, 1196 (1990).
5. K. Pyragas, "Continuous control of chaos by self-controlling feedback," Phys. Lett. APYLAAG 0375-9601 10.1016/ 0375-9601(92)90745-8 170, 421 (1992).
6. S. Guan, Y. C. Zhou, G. W. Wei, and C.-H. Lai, "Controlling flow turbulence," Chaos CHAOEH 1054-1500 10.1063/1.1539017 13, 64 (2003).
7. M. Nagata, "Three-dimensional finite-amplitude solutions in plane Couette flow: Bifurcation from infinity," J. Fluid Mech. JFLSA7 0022-1120 217, 519 (1990).
8. F. Waleffe, "Homotopy of exact coherent structures in plane shear flows," Phys. Fluids PHFLE61 070-6631 10.1063/1.1566753 15, 1517 (2003).
9. G. Kawahara and S. Kida, "Periodic motion embedded in plane Couette turbulence: Regeneration cycle and burst," J. Fluid Mech. JFLSA7 0022-1120 449, 291 (2001).
10. T. Itano and S. Toh, "The dynamics of bursting process in wall turbulence," J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/ JPSJ.70.703 70, 703 (2001).
11. J. Jiménez and M. P. Simens, "Low-dimensional dynamics in a turbulent wall flow," J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112001004050 435, 81 (2001).
12. J. Jiménez, G. Kawahara, M. P. Simens, M. Nagata, and M. Shiba, "Characterization of near-wall turbulence in terms of equilibrium and bursting solutions," Phys. Fluids PHFLE6 1070-6631 10.1063/ 1.1825451 17, 015105 (2005).
13. J. M. Hamilton, J. Kim, and F. Waleffe, "Regeneration mechanisms of near-wall turbulence structures," J. Fluid Mech. JFLSA7 0022-1120 287, 317 (1995).