On the onset of nonlinear oscillations in a separating boundary-layer flow

Journal of Fluid Mechanics

Volumn 490, Issue , 2003, Pages 169-188

  Marquillie, Matthieu ^a   Ehrenstein, Uwe ^a  

^a UNIVERSITÉ CÔTE D'AZUR   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; EXTRAPOLATION; REYNOLDS NUMBER; TOPOLOGY; VORTEX SHEDDING;

RECIRCULATION BUBBLES;

VORTEX FLOW;

BOUNDARY LAYER; BUBBLE; FLOW FIELD; FLOW SEPARATION; LAMINAR FLOW; REYNOLDS NUMBER;

EID: 0141676033     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112003005287     Document Type: Article

References (38)

1. ALAM, M. & SANDHAM, N. D. 2000 Direct numerical simulation of 'short' laminar separation bubbles with turbulent reattachment. J. Fluid Mech. 410, 1-28.
2. ARMALY, B. F., DURST, F., PEREIRA, J. C. F. & SCHöNUNG 1983 Experimental and theoretical investigation of backward-facing step flow J. Fluid Mech. 127, 473-496.
3. BARKLEY, D., GOMES, M. G. M. & HENDERSON, R. D. 2002 Three-dimensional instability in flow over a backward-facing step. J. Fluid Mech. 473, 167-190.
4. BERNARD, A., FOUCAUT, J. M., DUPONT, P. & STANISLAS, M. 2003 Decelerating boundary layers, a new scaling and mixing length model. AIAA J. 41, 248-255.
5. COOPER, A. J. & CRIGHTON, D. G. 2000 Global modes and superdirective acoustic radiation in low-speed axisymmetric jets. Eur. J. Mech. B/Fluids 19, 559-574.
6. CHERRY, N. J., HILLIER, R. & LATOUR, M. P. 1984 Unsteady measurements in a separated and reattaching flow. J. Fluid Mech. 144, 13-46.
7. COUAIRON, A. & CHOMAZ, J. M. 1996 Global instability in fully nonlinear systems. Phys. Rev. Lett. 77, 4015-4018.
8. COUAIRON, A. & CHOMAZ, J. M. 1997 Absolute and convective instabilities, front velocities and global modes in nonlinear systems. Physica D 108, 236-276.
9. DALLMANN, U., HERBERG, TH., GEBING, H., SU, W.-H. & ZHANG, H.-Q. 1995 Flow field diagnostics: topological flow changes and spatio-temporal flow structure. AIAA Paper 95-0791.
10. DELBENDE, I. & CHOMAZ, J. M. 1998 Nonlinear convective/absolute instabilities in parallel two-dimensional wakes. Phys. Fluids 10, 2724-2736.
11. DOVGAL, A. V., KOZLOV, V. V. & MICHALKE, A. 1994 Laminar boundary layer separation: instability and associated phenomena. Prog. Aerospace Sci. 30, 61-94.
12. HÄGGMARK, C. P., BAKCHINOV, A. A. & ALFREDSSON, P. H. 2000 Experiments on a two-dimensional laminar separation bubble. Phil. Trans. R. Soc. Lond. A 358, 3193-3205.
13. HAMMOND, D. A. & REDEKOPP, L. G. 1998 Local and global instability properties of separation bubbles. Eur. J. Mech. B/Fluids 17, 145-164.
14. HANNEMANN, K. & OERTEL JR, H. 1989 Numerical simulation of the absolutely and convectively unstable wake. J. Fluid Mech. 199, 55-88.
15. HUERRE, P. & MONKEWITZ, P. A. 1990 Local and global instabilities in spatially developing flows. Anu. Rev. Fluid Mech. 22, 473-537.
16. HUERRE, P. & ROSSI, M. 1998 Hydrodynamic Instabilities in open flows. In Hydrodynamics and Nonlinear Instabilities (ed. C. Godrèche & P. Manneville), pp. 81-294. Cambridge University Press.
17. HUGUES, S. & RANDRIAMAMPIANINA, A. 1998 An improved projection scheme applied to pseudospectral methods for the incompressible Navier-Stokes equations. Intl J. Numer. Methods Fluids 28, 501-521.
18. KAIKTSIS, L., KARNIADAKIS, G. E. & ORSZAG, S. A, 1991 Onset of three-dimensionality, equilibria and early transition in flow over a backward-facing step. J. Fluid Mech. 231, 501-528.
19. KAIKTSIS, L., KARNIADAKIS, G. E. & ORSZAG, S. A. 1996 Unsteadiness and convective instabilities in two-dimensional flow over a backward-facing step. J. Fluid Mech. 321, 157-187.
20. KIM, J. & MOIN, P. 1985 Application of a fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys. 59, 308-323.
21. KOCH, W. 1985 Local instability characteristics and frequency determination of self-excited wake flows. J. Sound Vib. 99, 53-83.
22. LE DIZÈS, S., HUERRE, P., CHOMAZ, J.-M. & MONKEWITZ, P. 1996 Linear global modes in spatially developing media. Phil. Trans. R. Soc. Lond. A 354, 169-212.
23. MARQUILLIE, M. & EHRENSTEIN, U. 2002 Numerical simulation of separating boundary-layer flow. Computers Fluids 31, 683-693.
24. MONKEWITZ, P. A., BECHERT, D. W., BARSIKOW, B. & LEHMANN, B. 1990 Self-excited oscillations and mixing in a heated round jet. J. Fluid Mech. 213, 611-639.
25. MORESCO, P. & HEALEY, J. J. 2000 Spatio-temporal instability in mixed convection boundary layers. J. Fluid Mech. 402, 89-107.
26. PAULEY, L. L., MOIN, P. & REYNOLDS, W. C. 1990 The structure of two-dimensional separation. J. Fluid Mech. 220, 397-411.
27. PIER, B. 2002 On the frequency selection of finite-amplitude vortex shedding in the cylinder wake. J. Fluid Mech. 458, 407-417.
28. PIER, B. & HUERRE, P. 2001 Nonlinear self-sustained structures and fronts in spatially developing wake flows. J. Fluid Mech. 435, 145-174.
29. PIER, B., HUERRE, P. & CHOMAZ, J. M. 2001 Bifurcation to fully nonlinear synchronized structures in slowly varying media. Physica D 148, 49-96.
30. RIPLEY, M. D. & PAULEY, L. L. 1993 The unsteady structure of two-dimensional steady laminar separation. Phys. Fluids A 5, 3099-3106.
31. RIST, U. & MAUCHER, U. 1994 Direct numerical simulation of 2-D and 3-D instability waves in a laminar separation bubble. In AGARD-CP-551, Application of Direct and Large Eddy Simulation to Transition and Turbulence, pp. 34-1-34-7.
32. RIST, U. & MAUCHER, U. 2002 Investigations of time-growing instabilities in laminar separation bubbles. Eur. J. Mech. B/Fluids 21, 495-509.
33. SINHA, S. N., GUPTA, A. K. & OBERAI M. M. 1981 Laminar separating flow over backsteps and cavities. Part I: backsteps. AIAA J. 19, 1527-1530.
34. STOER, J. & BULIRSCH, R. 1992 Introduction to Numerical Analysis, Texts in Applied Mathematics, Vol. 12, Springer.
35. THEOFILIS, V., HEIN, S. & DALLMANN U. 2000 On the origins of unsteadiness and three-dimensionality in a laminar separation bubble Phil. Trans. R. Soc. Lond. A 358, 3229-3246.
36. WILLIAMS, P. T. & BAKER, A. J. 1997 Numerical simulations of laminar flow over a 3D backward-facing step. Intl J. Numer. Methods Fluids 24, 1159-1183.
37. WIPLIER, O. & EHRENSTEIN, U. 2001 On the absolute instability in a boundary-layer flow with compliant coatings. Eur. J. Mech. B/Fluids 20, 127-144.
38. YANG, Z. & VOKE, P. R. 2001 Large-eddy simulation of boundary-layer separation and transition at a change of surface curvature. J. Fluid Mech. 439, 305-333.