On the linear stability of swept attachment-line boundary layer flow. Part 2. Non-modal effects and receptivity

Journal of Fluid Mechanics

Volumn 493, Issue , 2003, Pages 31-58

  Obrist, Dominik ^a   Schmid, Peter J ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; MATHEMATICAL OPERATORS; MODAL ANALYSIS; PERTURBATION TECHNIQUES; POLYNOMIALS;

SWEPT ATTACHMENT-LINE FLOW;

BOUNDARY LAYER FLOW;

BOUNDARY LAYER MODEL; FLOW ANALYSIS; SPECTRAL ANALYSIS; STABILITY;

EID: 0242510001     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112003005780     Document Type: Article

References (35)

1. ALBRING, W. 1981 Elementarvorgänge fluider Wirbelbewegungen. Akademie-Verlag, Berlin.
2. BENDER, C. M. & ORSZAG, S. A. 1978 Advanced Mathematical Methods for Scientists and Engineers. McGraw-Hill.
3. BERGSTRÖM, L. 1993 Optimal growth of small disturbances in pipe Poiseuille flow. Phys. Fluids A 5, 2710-2720.
4. BERTOLOTTI, F. P. 1997 Response of the Blasius boundary layer to free-stream vorticity. Phys. Fluids 9, 2286-2299.
5. BOBERG, L. & BORSA, U. 1988 Onset of turbulence in a pipe. Z. Naturforsch. 43a, 697-726.
6. BOYD, J. P. 1984 Asymptotic coefficients of Hermite functions series. J. Comput. Phys. 54, 382-410.
7. BUTLER, K. M. & FARRELL, B. F. 1992 Three-dimensional optimal perturbations in viscous shear flow. Phys. Fluids A 4, 1637-1650.
8. CHOUDHARI, M. 1996 Boundary-layer receptivity to three-dimensional unsteady vortical disturbances in the free stream. AIAA Paper 96-0181.
9. CORBETT, P. & BOTTARO, A. 2000 Optimal perturbations for boundary layers subject to streamwise pressure gradient. Phys. Fluids 12, 120-130.
10. CROUCH, J. D. 1992a Localized receptivity of boundary layers. Phys. Fluids A 4, 1408-1414.
11. CROUCH, J. D. 1992b Non-localized receptivity of boundary layers. J. Fluid Mech. 244, 567-581.
12. FARRELL, B. F. 1989 Optimal excitation of baroclinic waves. J. Atmos. Sci. 46, 3279-3288.
13. FARRELL, B. F. & IOANNOU, P. J. 1993 Transient development of perturbations in stratified shear flow. J. Atmos. Sci. 50, 2201-2214.
14. FOSTER, R. C. 1997 Structure and energetics of optimal Ekman layer perturbations. J. Fluid Mech. 333, 97-123.
15. GOLDSTEIN, M. E. & HULTGREN, L. S. 1989 Boundary-layer receptivity to long-wave freestream disturbances. Annu. Rev. Fluid Mech. 21, 137-166.
16. GUSTAVSSON, L. H. 1991 Energy growth of three-dimensional disturbances in plane Poiseuille flow. J. Fluid Mech. 224, 241-260.
17. HILL, D. C. 1995 Adjoint systems and their role in the receptivity problem for boundary layers. J. Fluid Mech. 292, 183-204.
18. HRISTOVA, H., ROCH, S., SCHMID, P. J. & TUCKERMAN, L. 2002 Transient growth in Taylor-Couette flow. Phys. Fluids 14, 3475-3484.
19. HUERRE, P. & MONKEWITZ, P. A. 1990 Local and global instabilities in spatially developing flows. Annu. Rev. Fluid Mech. 22, 473-537.
20. JACOBS, R. G. & HENNINGSON, D. S. 1999 Evaluation of data from direct numerical simulations of transition due to freestream turbulence. Ann. Research Briefs, CTR-Stanford.
21. KELVIN, LORD 1887 Stability of fluid motion - Rectilinear motion of viscous fluid between two parallel flows. Phil. Mag. 24, 188-196.
22. LUCHINI, P. & BOTTARO, A. 1998 Görtler vortices: a backward-in-time approach to the receptivity problem. J. Fluid Mech. 363, 1-23.
23. MESEGUER, A. 2002 Nonnormal effects in the Taylor-Couette problem. Theor. Comput. Fluid Dyn. 16, 71-77.
24. OBRIST, D. 2000 On the stability of the swept leading-edge boundary layer. PhD dissertation, University of Washington.
25. OBRIST, D. & SCHMID, P. J. 2003 On the linear stability of swept attachment-line boundary layer flow. Part 1. Spectrum and asymptotic behaviour. J. Fluid Mech. 493, 1-29.
26. ORR, W. M. F. 1907 The stability or instability of the steady motions of a perfect liquid and of a viscous liquid. Part I: A perfect liquid. Part II: A viscous liquid. Proc. R. Irish Acad. A 27, 9-138.
27. REDDY, S. C. & HENNINGSON, D. S. 1993 Energy growth in viscous channel flows. J. Fluid Mech. 252, 209-238.
28. SCHMID, P. J. & HENNINGSON, D. S. 1994 Optimal energy density growth in Hagen-Poiseuille flow. J. Fluid Mech. 277, 197-225.
29. SCHMID, P. J. & HENNINGSON, D. S. 2001 Stability and Transition in Shear Flows. Springer.
30. SCHMID, P. J., HENNINGSON, D. S., KHORRAMI, M. & MALIK, M. 1993 A sensitivity study of hydrodynamic stability operators. Theor. Comput. Fluid Dyn. 4, 227-240.
31. SCHMID, P. J. & KYTÖMAA, H. K. 1994 Transient and asymptotic stability of granular flow. J. Fluid Mech. 264, 255-275.
32. TREFETHEN, A. E., TREFETHEN, L. N. & SCHMID, P. J. 1999 Spectra and pseudospectra for pipe Poiseuille flow. Comput. Meth. Appl. Mech. Engng 175, 413-420.
33. TREFETHEN, L. N., TREFETHEN, A. E., REDDY, S. C. DRISCOLL, T. A. 1993 Hydrodynamic stability without eigenvalues. Science 261, 578-584.
34. TÜRKYILMAZOGLU, M. & GAJJAR, J. S. B. 1999 On the absolute instability of the attachment-line and swept Hiemenz boundary layers. Theor. Comput. Fluid Dyn. 13, 57-75.
35. WALEFFE, F. 1995 Transition in shear flows: non-linear normality versus non-normal linearity. Phys. Fluids 7, 3060-3066.