Sensitivity and optimal forcing response in separated boundary layer flows

Physics of Fluids

Volumn 21, Issue 6, 2009, Pages

  Alizard, Frédéric ^a   Cherubini, Stefania ^a,b   Robinet, Jean Christophe ^a  

^a ARTS ET MÉTIERS PARISTECH   (France)

^b POLITECNICO DI BARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; DIRECT NUMERICAL SIMULATION; LINEAR STABILITY ANALYSIS; LINEARIZATION; NUMERICAL MODELS; REYNOLDS NUMBER; SHEAR FLOW;

ADVERSE PRESSURE GRADIENT; ASYMPTOTIC RESPONSE; CIRCULAR FREQUENCY; CONVECTIVE INSTABILITIES; EVOLUTION OPERATOR; FLOW DISTURBANCES; LINEAR INSTABILITIES; SEPARATED BOUNDARY LAYERS;

BOUNDARY LAYER FLOW;

EID: 67650299743     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3153908     Document Type: Article

References (43)

1. B. M. Jones, "Stalling," J. R. Aeronaut. Soc. JRAOAO0368-3931 38, 753 (1934).
2. M. Gaster, "The structure and behaviour of laminar separation bubbles," Ministry of Technology, Aeronautical Research Council Technical Report No. 3595, 1969.
3. W. R. Briley, "A numerical study of laminar separation bubbles using the Navier-Stokes equations," J. Fluid Mech. JFLSA70022-1120 47, 713 (1971). 10.1017/S0022112071001332
4. V. Sychev, A. I. Ruban, V. Sychev, and G. L. Korolev, Asymptotic Theory of Separated Flows (Springer, New York, 2005).
5. U. Rist and U. Maucher, "Direct numerical simulation of 2-d and 3-d instability waves in a laminar separation bubble," AGARD Conf. Proc. AGCPAV0549-7191 551, 361 (1994).
6. U. Rist and U. Maucher, "Investigations of time-growing instabilities in laminar separation bubbles," Eur. J. Mech. B/ Fluids EJBFEV0997-7546 21, 495 (2002). 10.1016/S0997-7546(02)01205-0
7. A. V. Dovgal, V. V. Kozlov, and A. Michalke, "Laminar boundary layer separation: Instability and associated phenomena," Prog. Aerosp. Sci. PAESD60376-0421 30, 61 (1994). 10.1016/0376-0421(94)90003-5
8. B. F. Armaly, F. Durst, J. C. F. Pereira, and B. Schönung, "Experimental and theoretical investigation of backward-facing step flow," J. Fluid Mech. JFLSA70022-1120 127, 473 (1983). 10.1017/ S0022112083002839
9. L. Kaiktsis, G. Karniadakis, and A. Orszag, "Unsteadiness and convective instabilities in two-dimensional flow over a backward-facing step," J. Fluid Mech. JFLSA70022-1120 321, 157 (1996). 10.1017/ S0022112096007689
10. P. Huerre and P. A. Monkewitz, "Absolute and convective instabilities in free shear layers," J. Fluid Mech. JFLSA70022-1120 159, 151 (1985).10.1017/S0022112085003147
11. M. Marquillie and U. Ehrenstein, "On the onset of nonlinear oscillations in a separating boundary-layer flow," J. Fluid Mech. JFLSA70022-1120 490, 169 (2003). 10.1017/S0022112003005287
12. B. Pier, "On the frequency selection of finite-amplitude vortex shedding in the cylinder wake," J. Fluid Mech. JFLSA70022-1120 458, 407 (2002).10.1017/S0022112002008054
13. V. Theofilis, S. Hein, and U. Dallmann, "On the origins of unsteadiness and three dimensionality in a laminar separation bubble," Philos. Trans. R. Soc. London, Ser. A PTRMAD0962-8428 358, 3229 (2000). 10.1098/rsta.2000.0706
14. D. Barkley, M. Gomes, and D. H. Genderson, "Three dimensional instability in flow over a backward-facing step," J. Fluid Mech. JFLSA70022-1120 473, 167 (2002). 10.1017/S002211200200232X
15. F. Gallaire, M. Marquillie, and U. Ehrenstein, "Three-dimensional transverse instabilities in detached boundary layers," J. Fluid Mech. JFLSA70022-1120 571, 221 (2007). 10.1017/S0022112006002898
16. B. Wasistho, B. J. Geurts, and J. G. M. Kuerten, "Numerical simulation of separated boundary-layer flow," J. Eng. Math. JLEMAU0022-0833 32, 177 (1997). 10.1023/A:1004238905147
17. V. Theofilis, "Advances in global linear instability of nonparallel and three-dimensional flows," Prog. Aerosp. Sci. PAESD60376-0421 39, 249 (2003). 10.1016/S0376-0421(02)00030-1
18. C. Cossu and J.-M. Chomaz, "Global measures of local convective instabilities," Phys. Rev. Lett. PRLTAO0031-9007 78, 4387 (1997). 10.1103/PhysRevLett.78.4387
19. J.-M. Chomaz, "Global instabilities in spatially developing flows: Non-normality and non linearity," Annu. Rev. Fluid Mech. ARVFA30066-4189 37, 357 (2005). 10.1146/annurev.fluid.37.061903.175810
20. U. Ehrenstein and F. Gallaire, "On two dimensional temporal modes in spatially evolving open flows: The flat-plate boundary layer," J. Fluid Mech.JFLSA70022-1120 536, 209 (2005).10.1017/S0022112005005112
21. F. Alizard and J.-C. Robinet, "Spatially convective global modes in a boundary layer," Phys. Fluids PHFLE61070-6631 19, 114105 (2007). 10.1063/1.2804958
22. E. Åkervik, U. Ehrenstein, F. Gallaire, and D. S. Henningson, "Global two-dimensional stability measures of the flat plate boundary-layer flow," Eur. J. Mech. B/Fluids EJBFEV0997-7546 27, 501 (2008). 10.1016/j.euromechflu.2007.09.004
23. P. J. Schmid and D. Henningson, "On the stability of a falling liquid curtain," J. Fluid Mech. JFLSA70022-1120 463, 163 (2002). 10.1017/S002211200200873X
24. E. Åkervik, J. Hoepffner, U. Ehrenstein, and D. S. Henningson, "Optimal growth, model reduction and control in a separated boundary-layer flow using global eigenmodes," J. Fluid Mech. JFLSA70022-1120 579, 305 (2007). 10.1017/S0022112007005496
25. D. S. Henningson and E. Åkervik, "The use of global modes to understand transition and perform flow control," Phys. Fluids PHFLE61070-6631 20, 031302 (2008). 10.1063/1.2832773
26. U. Ehrenstein and F. Gallaire, "Global low-frequency oscillations in a separating boundary-layer flow," J. Fluid Mech. JFLSA70022-1120 614, 315 (2008). 10.1017/S0022112008003285
27. H. M. Blackburn, D. Barkley, and S. J. Sherwin, "Convective instability and transient growth in flow over a backward-facing step," J. Fluid Mech. JFLSA70022-1120 603, 271 (2008). 10.1017/ S0022112008001109
28. O. Marquet, D. Sipp, J.-M. Chomaz, and L. Jacquin, "Amplifier and resonator dynamics of a low-Reynolds-number recirculation bubble in a global framework," J. Fluid Mech. JFLSA70022-1120 605, 429 (2008). 10.1017/S0022112008000323
29. P. J. Schmid, "Nonmodal stability theory," Annu. Rev. Fluid Mech. ARVFA30066-4189 39, 129 (2007). 10.1146/ annurev.fluid.38.050304.092139
30. L. L. Pauley, P. Moin, and W. Reynolds, "The structure of two dimensional separation," J. Fluid Mech. JFLSA70022-1120 220, 397 (1990). 10.1017/S0022112090003317
31. M. D. Ripley and L. L. Pauley, "The unsteady structure of two-dimensional steady laminar separation," Phys. Fluids A PFADEB0899-8213 5, 3099 (1993). 10.1063/1.858719
32. O. Daube, "Resolution of the 2D Navier-Stokes equations in velocity-vorticity form by means of an influence matrix technique," J. Comput. Phys. JCTPAH0021-9991 103, 402 (1992). 10.1016/ 0021-9991(92)90411-Q
33. R. Peyret, Spectral Methods for Incompressible Viscous Flow (Springer, New York, 2002).
34. M. Pernice and F. W. Homer, "Nitsol: A Newton iterative solver for nonlinear systems," SIAM J. Sci. Comput. (USA) SJOCE31064-8275 19, 302 (1998). 10.1137/S1064827596303843
35. T. N. Phillips and G. W. Roberts, "The treatment of spurious pressure modes in spectral incompressible flow calculations," J. Comput. Phys.JCTPAH0021-9991 105, 150 (1993).10.1006/jcph.1993.1060
36. R. B. Lehoucq, D.C. Sorensen, and C. Yang, ARPACK Users' Guide: Solution of Large Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods (SIAM, Philadelphia, 1998).
37. P. J. Schmid and D. S. Henningson, Stability and Transition in Shear Flows (Springer, New York, 2001).
38. K.-C. Toh and L. N. Trefethen, "Calculation of pseudospectra by the Arnoldi iteration," SIAM J. Sci. Comput. (USA) SJOCE31064-8275 17, 1 (1996).10.1137/0917002
39. J. C. M. Lin and L. L. Pauley, "Low-Reynolds-number separation on an airfoil," AIAA J. AIAJAH0001-1452 34, 1570 (1996). 10.2514/ 3.13273
40. C. P. Häggmark, A. A. Bakchinov, and P. H. Alfredsson, "Experiments on a two-dimensional laminar separation bubble," Philos. Trans. R. Soc. London, Ser. B PTRBAE0962-8436 358, 3193 (2000).
41. L. L. Pauley, "Structure of local pressure-driven three-dimensional transient boundary-layer separation," AIAA J. AIAJAH0001-1452 32, 997 (1994).10.2514/3.12086
42. L. L. Pauley, "Response of two-dimensional separation to three-dimensional disturbances," ASME J. Fluids Eng. JFEGA40098-2202 116, 433 (1994). 10.1115/1.2910295
43. T.-R. Bewley and S. Liu, "Optimal and robust control and estimation of linear paths to transition," J. Fluid Mech. JFLSA70022-1120 365, 305 (1998). 10.1017/S0022112098001281