B. Abdessemed, N. Sherwin, S. J. Theofilis, and V. , On unstable 2D basic states in low pressure turbine flows at moderate reynolds numbers. 34 th AIAA Fluid Dynamics Conference and Exhibit -AIAA Paper, 2004.

N. Abdessemed, S. J. Sherwin, and V. Theofilis, Linear stability of the flow past a low pressure turbine blade. 36 th AIAA Fluid Dynamics Conference and Exhibit -AIAA Paper 2006-3530, 2006.

A. Abouhamza and R. Pierre, A neutral stability curve for incompressible flows in a rectangular driven cavity, Mathematical and computer modelling, pp.141-157, 2003.

E. W. Adams and J. P. Johnston, Effects of the separating shear layer on the reattachment flow structure part 2: Reattachment length and wall shear stress, Experiments in Fluids, vol.6, issue.7, pp.493-499, 1988.
DOI : 10.1007/BF00196511

C. K. Aidun, N. G. Triantafillopoulos, and J. Benson, Global stability of a lid???driven cavity with throughflow: Flow visualization studies, Physics of Fluids A: Fluid Dynamics, vol.3, issue.9, pp.2081-2091, 1991.
DOI : 10.1063/1.857891

?. Akervik, E. Brandt, L. Henningson, D. S. Hoepffner, and J. , Steady solutions of the Navier-Stokes equations by selective frequency damping, Physics of Fluids, vol.18, issue.6, p.18, 2006.
DOI : 10.1063/1.2211705

?. Akervik, E. Ehrenstein, U. Gallaire, F. Henningson, and D. , Global twodimensional stability measures of the flat plate boundary-layer flow, Eur, J. Mech, 2007.

?. Akervik, E. Hoepffner, J. Ehrenstein, U. Henningson, and D. , Optimal growth, model reduction and control in a separated boundary-layer flow using global eigenmodes, Journal of Fluid Mechanics, vol.579, pp.305-314, 2007.
DOI : 10.1017/S0022112007005496

URL : https://hal.archives-ouvertes.fr/hal-00211799

S. Albensoeder and H. C. Kuhlmann, Accurate three-dimensional lid-driven cavity flow, Journal of Computational Physics, vol.206, issue.2, p.536, 2005.
DOI : 10.1016/j.jcp.2004.12.024

S. Albensoeder, H. C. Kuhlmann, and H. J. Rath, Three-dimensional centrifugal-flow instabilities in the lid-driven-cavity problem, Physics of Fluids, vol.13, issue.1, pp.121-135, 2001.
DOI : 10.1063/1.1329908

F. Alizard, Analyse de la stabilité Globale et de la croissance transitoire d'une couche limite décollée, 2007.

F. Alizard and J. Robinet, Convective and global instabilities in separated flows, th International Congress on Industrial and Applied Mathematics, 2007.

F. Alizard and J. Robinet, Influence of 3D perturbations on separated flows. IUTAM Symposium on Unsteady Separated Flows and their Control, 2007.

F. Alizard, J. Robinet, and . Ch, Spatially convective global modes in a boundary layer, Physics of Fluids, vol.19, issue.11, p.19, 2007.
DOI : 10.1063/1.2804958

T. Allen and N. Riley, Absolute and convective instabilities in separation bubbles, Aeronautical Journal, pp.439-448, 1995.

B. F. Armaly, F. Durst, J. C. Pereira, and B. Schönung, Experimental and theoretical investigation of backward-facing step flow, Journal of Fluid Mechanics, vol.86, issue.-1, pp.473-496, 1983.
DOI : 10.1017/S0022112067001892

F. Auteri, N. Parolini, and L. Quartapelle, Numerical Investigation on the Stability of Singular Driven Cavity Flow, Journal of Computational Physics, vol.183, issue.1, pp.1-25, 2002.
DOI : 10.1006/jcph.2002.7145

B. Barkley, Linear analysis of the cylinder wake mean flow, Europhysics Letters (EPL), vol.75, issue.5, pp.750-756, 2006.
DOI : 10.1209/epl/i2006-10168-7

D. Barkley, G. M. Gomes, and R. D. Henderson, Three-dimensional instability in flow over a backward-facing step, Journal of Fluid Mechanics, vol.473, pp.473-167, 2002.
DOI : 10.1017/S002211200200232X

D. Barkley and R. D. Henderson, Three-dimensional Floquet stability analysis of the wake of a circular cylinder, Journal of Fluid Mechanics, vol.199, issue.-1, pp.215-241, 1996.
DOI : 10.1016/0021-9991(91)90007-8

E. Barragy and G. F. Carey, Stream function-vorticity driven cavity solution using p finite elements, Computers and Fluids, pp.455-468, 1997.
DOI : 10.1016/s0045-7930(97)00004-2

J. Beaudoin, O. Cadot, J. Aider, and J. E. Wesfreid, Three-dimensional stationary flow over a backward-facing step, European Journal of Mechanics - B/Fluids, vol.23, issue.1, pp.147-155, 2004.
DOI : 10.1016/j.euromechflu.2003.09.010

A. S. Benjamin and V. E. Denny, On the convergence of numerical solutions for 2-D flows in a cavity at large Re, Journal of Computational Physics, vol.33, issue.3, pp.340-358, 1979.
DOI : 10.1016/0021-9991(79)90160-8

J. D. Benson and C. K. Aidun, Transition to unsteady nonperiodic state in a through???flow lid???driven cavity, Physics of Fluids A: Fluid Dynamics, vol.4, issue.10, pp.2316-2319, 1992.
DOI : 10.1063/1.858471

F. P. Bertolotti, T. Herbert, and P. R. Spalart, Linear and nonlinear stability of the Blasius boundary layer, Journal of Fluid Mechanics, vol.18, issue.-1, pp.441-474, 1992.
DOI : 10.1146/annurev.fl.22.010190.002353

H. M. Blackburn and J. M. Lopez, The onset of three-dimensional standing and modulated travelling waves in a periodically driven cavity flow, Journal of Fluid Mechanics, vol.497, pp.289-317, 2003.
DOI : 10.1017/S0022112003006670

O. Botella and R. Peyret, Benchmark spectral results on the lid-driven cavity flow, Computers and Fluids, pp.421-433, 1998.

R. Bouffanais, M. O. Deville, and E. Leriche, Large-eddy simulation of the flow in a lid-driven cubical cavity, Physics of Fluids, vol.19, issue.5, pp.55-108, 2007.
DOI : 10.1063/1.2723153

J. P. Boyd, Chebyshev and Fourier Spectral Methods, 1999.
DOI : 10.1007/978-3-642-83876-7

T. J. Bridges and P. J. Morris, Differential eigenvalue problems in which the parameter appears nonlinearly, Journal of Computational Physics, vol.55, issue.3, pp.437-460, 1984.
DOI : 10.1016/0021-9991(84)90032-9

M. S. Broadhurst and S. P. Sherwin, The parabolised stability equations for 3D-flows: implementation and numerical stability, Applied Numerical Mathematics, vol.58, issue.7, pp.1017-1029, 2008.
DOI : 10.1016/j.apnum.2007.04.016

D. Brown, R. Cortez, and M. Minion, Accurate Projection Methods for the Incompressible Navier???Stokes Equations, Journal of Computational Physics, vol.168, issue.2, pp.464-499, 2001.
DOI : 10.1006/jcph.2001.6715

C. Bruneau and M. Saad, The 2D lid driven cavity problem revisited, Computers and Fluids, pp.326-348, 2006.

C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics, 1987.
DOI : 10.1007/978-3-642-84108-8

W. Cazemier, W. Cazemier, R. W. Verstappen, and A. E. Veldman, Proper orthogonal decomposition and low-dimensional models for driven cavity flows, Proper orthogonal decomposition and low-dimensional models for the driven cavity flows, pp.1685-1699, 1997.
DOI : 10.1063/1.869686

M. Cheng and K. C. Hung, Vortex structure of steady flow in a rectangular cavity, Computers and Fluids, pp.1046-1062, 2006.

T. P. Chiang, R. R. Hwang, and W. Sheu, On End-Wall Corner Vortices in a Lid-Driven Cavity, Journal of Fluids Engineering, vol.119, issue.1, pp.201-204, 1997.
DOI : 10.1115/1.2819111

T. P. Chiang and W. H. Sheu, Numerical prediction of eddy structure in a shear-driven cavity, Computational Mechanics, vol.20, issue.4, pp.379-396, 1997.
DOI : 10.1007/s004660050259

W. H. Chiang, &. Sheu, and R. R. Hwang, Effect of Reynolds number on the eddy structure in a lid-driven cavity, International Journal for Numerical Methods in Fluids, vol.23, issue.5, pp.557-579, 1998.
DOI : 10.1002/(SICI)1097-0363(19980315)26:5<557::AID-FLD638>3.0.CO;2-R

J. Chicheportiche, X. Merle, X. Gloerfelt, J. Robinet, and . Ch, Direct numerical simulation and global stability analysis of three-dimensional instabilities in a liddriven cavity, C. R. Mecanique, pp.336-586, 2008.

J. Chomaz, GLOBAL INSTABILITIES IN SPATIALLY DEVELOPING FLOWS: Non-Normality and Nonlinearity, Annual Review of Fluid Mechanics, vol.37, issue.1, pp.357-392, 2005.
DOI : 10.1146/annurev.fluid.37.061903.175810

URL : https://hal.archives-ouvertes.fr/hal-01024960

J. Chomaz, P. Huerre, and L. G. Redekopp, Bifurcations to Local and Global Modes in Spatially Developing Flows, Physical Review Letters, vol.60, issue.1, pp.25-28, 1988.
DOI : 10.1103/PhysRevLett.60.25

J. W. Christian, W. L. Hankey, and J. S. Petty, Similar solutions of the attached and separated compressible laminar boundary layer with heat transfer and pressure gradient, Office of aerospace research, 1970.

C. B. Cohen and E. Reshotko, Similar solutions of the compressible laminar boundary layer with heat transfer and pressure gradient, 1956.

J. D. Crouch, A. Garbaruk, and D. Magidov, Predicting the onset of flow unsteadiness based on global instability, Journal of Computational Physics, vol.224, issue.2, pp.924-940, 2007.
DOI : 10.1016/j.jcp.2006.10.035

U. Dallmann, H. Herberg, H. Gebing, and W. Su, Flow field diagnostics - Topological flow changes and spatio-temporal flow structure, 33rd Aerospace Sciences Meeting and Exhibit, 1995.
DOI : 10.2514/6.1995-791

G. Degrez, C. H. Boccadoro, and J. F. Wendt, The interaction of an oblique shock wave with a laminar boundary layer revisited. An experimental and numerical study, Journal of Fluid Mechanics, vol.20, issue.-1, pp.247-263, 1987.
DOI : 10.1016/0142-727X(83)90020-6

M. K. Denham and M. A. Patrick, Laminar flow over a downstream-facing step in a twodimensional flow channel, Trans. Inst. Chem. Engrs, vol.52, pp.361-367, 1974.

Y. Ding and M. Kawahara, Linear stability of incompressible fluid flow in a cavity using finite element method, International Journal for Numerical Methods in Fluids, vol.36, issue.1-4, pp.139-157, 1998.
DOI : 10.1002/(SICI)1097-0363(199801)27:1/4<139::AID-FLD655>3.0.CO;2-D

A. V. Dogval, V. V. Kozlov, and A. Michalke, Laminar boundary layer separation : instability and associated phenomena, Progress in Aerospace Sciences, pp.61-94, 1994.

D. S. Dolling, Fifty years of shock-wave/boundary-layer interaction research : What next ?, AIAA Journal, issue.8, p.39, 2001.

D. M. Driver, H. L. Seegmiller, and J. G. Marvin, Time-dependent behavior of a reattaching shear layer, AIAA Journal, vol.25, issue.7, p.25, 1987.
DOI : 10.2514/3.9722

P. Dupont, J. Debì-eve, J. Ardissone, and C. Haddad, Some time properties in shock boundary layer interaction, 2003.

P. Dupont, J. Debì-eve, C. Haddad, and J. Dussauge, Three-dimensional organization and unsteadiness of a shock wave/turbulent boundary layer interaction, 2004.

U. Ehrenstein and F. Gallaire, On two-dimensional temporal modes in spatially evolving open flows: the flat-plate boundary layer, Journal of Fluid Mechanics, vol.536, pp.4387-4390, 2005.
DOI : 10.1017/S0022112005005112

U. Ehrenstein and F. Gallaire, Two-dimensional global low-frequency oscillations in a separating boundary-layer flow, Journal of Fluid Mechanics, vol.614, pp.614-315, 2008.
DOI : 10.1017/S0022112008000323

URL : https://hal.archives-ouvertes.fr/hal-00326123

E. Erturk, Discussions on driven cavity flow, Discussions on driven cavity flow, pp.275-294, 2009.
DOI : 10.1002/fld.1887

URL : http://arxiv.org/abs/cs/0411048

E. Erturk, T. Corke, and C. Gökcöl, Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers, International Journal for Numerical Methods in Fluids, vol.126, issue.7, pp.48-747, 2005.
DOI : 10.1002/fld.953

E. Erturk and C. Gökcöl, Fourth-order compact formulation of Navier-Stokes equations and driven cavity flow at high Reynolds numbers, International Journal for Numerical Methods in Fluids, vol.4, issue.4, pp.50-421, 2006.
DOI : 10.1002/fld.1061

H. Fasel and D. Postl, Interaction of separation and transition in boundary layers : direct numerical simulations. 6 th IUTAM Symposium on Laminar-Turbulent Transition, 2004.

A. Fortin, M. Jardak, J. Gervais, and R. Pierre, Localization of hopf bifurcations in fluid flow problems, Int. J. Numer. Meth. Fluids, pp.24-1185, 1997.

F. Gallaire, M. Marquillie, and U. Ehrenstein, Three-dimensional transverse instabilities in detached boundary layers, Journal of Fluid Mechanics, vol.571, pp.221-233, 2007.
DOI : 10.1017/S0022112006002898

URL : https://hal.archives-ouvertes.fr/hal-00211738

M. Gaster, On the generation of spatially growing waves in a boundary layer, Journal of Fluid Mechanics, vol.14, issue.03, pp.433-441, 1965.
DOI : 10.1017/S0022112065000873

M. Gaster, The structure and behaviour of laminar separation bubbles, Ministry of Technology, Aeronautical Research Council, Reports and Memoranda, 1967.

J. Gervais, D. Lemelin, and R. Pierre, SOME EXPERIMENTS WITH STABILITY ANALYSIS OF DISCRETE INCOMPRESSIBLE FLOWS IN THE LID-DRIVEN CAVITY, International Journal for Numerical Methods in Fluids, vol.309, issue.5, pp.24-477, 1997.
DOI : 10.1002/(SICI)1097-0363(19970315)24:5<477::AID-FLD500>3.0.CO;2-S

U. Ghia, K. N. Ghia, and C. T. Shin, High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method, Journal of Computational Physics, vol.48, issue.3, pp.387-411, 1982.
DOI : 10.1016/0021-9991(82)90058-4

F. Giannetti and P. Luchini, Structural sensitivity of the first instability of the cylinder wake, Journal of Fluid Mechanics, vol.581, pp.167-197, 2007.
DOI : 10.1017/S0022112007005654

R. J. Goldstein, V. L. Eriksen, R. M. Olson, and E. R. Eckert, Laminar Separation, Reattachment, and Transition of the Flow Over a Downstream-Facing Step, Journal of Basic Engineering, vol.92, issue.4, 1970.
DOI : 10.1115/1.3425124

P. M. Gresho, D. K. Gartling, J. R. Torczynski, K. A. Cliffe, K. H. Winters et al., Is the steady viscous incompressible two-dimensional flow over a backward-facing step atRe = 800 stable?, International Journal for Numerical Methods in Fluids, vol.94, issue.6, pp.501-541, 1993.
DOI : 10.1002/fld.1650170605

J. Guermond, C. Migneon, G. Pineau, and L. Quartapelle, Start-up flows in a three-dimensional rectangular driven cavity of aspect ratio 1:1:2 at Re = 1000, Journal of Fluid Mechanics, vol.450, pp.169-199, 2002.
DOI : 10.1017/S0022112001006383

C. Haddad, J. Ardissone, P. Dupont, and J. &debì-eve, Space and time organization of a shock wave/turbulent boundary layer interaction, Congrès AAAF, Aérodynamique instationnaire, 2004.

C. P. Häggmark, C. Hildings, and D. S. Henningson, A numerical and experimental study of a transitional separation bubble, Aerospace Science and Technology, vol.5, issue.5, pp.317-328, 2001.
DOI : 10.1016/S1270-9638(01)01110-5

D. A. Hammond and L. G. Redekopp, Local and global instability properties of separation bubbles, European Journal of Mechanics - B/Fluids, vol.17, issue.2, pp.145-164, 1998.
DOI : 10.1016/S0997-7546(98)80056-3

P. Huerre and P. A. Monkewitz, Absolute and convective instabilities in free shear layers, Journal of Fluid Mechanics, vol.19, issue.-1, pp.151-168, 1979.
DOI : 10.1017/S0022112064000908

P. Huerre and P. A. Monkewitz, Local and Global Instabilities in Spatially Developing Flows, Annual Review of Fluid Mechanics, vol.22, issue.1, p.473, 1990.
DOI : 10.1146/annurev.fl.22.010190.002353

W. Ibrahim, Calcul du flux de chaleur au point d'arr'un vcule hypersonique, 1985.

R. Iwatsu, K. Ishii, T. Kawamura, K. Kuwahara, and J. M. Hyun, Numerical simulation of three-dimensional flow structure in a driven cavity, Fluid Dynamics Research, vol.5, issue.3, p.173, 1989.
DOI : 10.1016/0169-5983(89)90020-8

C. P. Jackson, A finite-element study of the onset of vortex shedding in flow past variously shaped bodies, Journal of Fluid Mechanics, vol.288, issue.-1, pp.23-45, 1987.
DOI : 10.1017/S0022112059000829

R. Jordinson, The flat plate boundary layer. Part 1. Numerical integration of the Orr???-Sommerfeld equation, Journal of Fluid Mechanics, vol.3, issue.04, pp.801-811, 1970.
DOI : 10.1093/comjnl/7.3.228

L. Kaiktsis, Instability classification and transition in flow over a backward-facing step, 1995.

L. Kaiktsis, G. E. Karniadakis, and S. A. Orszag, Onset of three-dimensionality, equilibria, and early transition in flow over a backward-facing step, Journal of Fluid Mechanics, vol.8, issue.-1, pp.501-528, 1991.
DOI : 10.1007/BF01940759

L. Kaiktsis, G. E. Karniadakis, and S. A. Orszag, Unsteadiness and convective instabilities in two-dimensional flow over a backward-facing step, Journal of Fluid Mechanics, vol.321, issue.-1, pp.157-187, 1996.
DOI : 10.1017/S0022112083000518

L. Kaiktsis and P. A. Monkewitz, Global destabilization of flow over a backward-facing step, Physics of Fluids, vol.15, issue.12, pp.3647-3658, 2003.
DOI : 10.1063/1.1621003

T. Karman and . Von, ¨ Uber den mechanismus den widerstands, den ein bewegter korper in einer flussigkeit erfarht, Math. Phys. Kl, vol.12, p.509, 1912.

V. Kitsios, D. Rodriguez, V. Theofilis, A. Ooi, and J. Soria, BiGlobal Instability Analysis of Turbulent Flow Over an Airfoil at an Angle of Attack, 38th Fluid Dynamics Conference and Exhibit, 2008.
DOI : 10.2514/6.2008-4384

V. Kitsios, D. Rodríguez, V. Thofilis, A. Ooi, and J. Soria, BiGlobal stability analysis in curvilinear coordinates of massively separated lifting bodies, Journal of Computational Physics, vol.228, issue.19, 2009.
DOI : 10.1016/j.jcp.2009.06.011

J. R. Koseff and R. L. Street, Visualization studies of a shear driven three-dimensional recirculating flow. Proceedings Thermophysics and Heat transfer Conference on Three- Dimensional Turbulent Shear Flows, ASME, pp.23-31, 1982.

L. Lees and C. C. Lin, INVESTIGATION OF THE STABILITY OF THE LAMINAR BOUNDARY LAYER IN A COMPRESSIBLE FLUID, 1946.
DOI : 10.1142/9789814415651_0002

R. B. Lehoucq, D. C. Sorensen, and C. Yang, Guide : Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods
DOI : 10.1137/1.9780898719628

S. K. Lele, Compact finite difference schemes with spectral-like resolution, Journal of Computational Physics, vol.103, issue.1, pp.16-42, 1992.
DOI : 10.1016/0021-9991(92)90324-R

L. Lenoir, Etude de stabilité d'´ ecoulements faiblement nonparalì eles par une méthode pse, 2006.

E. Leriche, Direct numerical simulation of lid-driven cavity flow by a Chebyshev spectral method, 1932.

E. Leriche and S. Gavrilakis, Direct numerical simulation of the flow in a lid-driven cubical cavity, Physics of Fluids, vol.12, issue.6, pp.1363-1376, 2000.
DOI : 10.1063/1.870387

Y. Lifshitz and D. Degani, Mathematical model of a turbulent wake with harmonic perturbations. IACAS-43, 2003.

Y. Lifshitz and D. Degani, Mathematical model for turbulent mixing layer with harmonic perturbation, ECCOMAS, 2004.

Y. Lifshitz and D. Degani, On resonant spreading of harmonically excited turbulent mixing layer. 4 th AIAA Theoretical Fluid Mechanics Meeting -AIAA Paper 2005-5320, 2005.

Y. Lifshitz, D. Degani, and A. Tumin, On harmonic perturbations in a turbulent mixing layer. 34 th AIAA Fluid Dynamics Conference and Exhibit -AIAA Paper, 2004.

Y. Lifshitz, D. Degani, and A. Tumin, Coherent perturbations in a turbulent boundary layer subjected to a highly adverse pressure gradient. 4 th AIAA Theoretical Fluid Mechanics Meeting -AIAA Paper, 2005.

L. Mack, Boundary layer stability theory, pp.900-277, 1969.

L. M. Mack, boundary layer stability theory " , special course on stability and transition of laminar flow, AGARD, R-709, pp.3-4, 1984.

M. R. Malik, Numerical methods for hypersonic boundary layer stability, Journal of Computational Physics, vol.86, issue.2, pp.376-413, 1990.
DOI : 10.1016/0021-9991(90)90106-B

O. Marquet, D. Sipp, and L. Jacquin, Sensitivity analysis and passive control of cylinder flow, Journal of Fluid Mechanics, vol.45, pp.221-252, 2008.
DOI : 10.1016/S0045-7825(98)00183-2

URL : https://hal.archives-ouvertes.fr/hal-01026007

M. Marquillie, Simulation numérique etétudeetétude de la stabilité d'unécoulementunécoulement de couche limite décollée, 2003.

M. Marquillie and U. Ehrenstein, On the onset of nonlinear oscillations in a separating boundary-layer flow, Journal of Fluid Mechanics, vol.490, pp.166-188, 2003.
DOI : 10.1017/S0022112003005287

P. Meliga, C. Migeon, G. Pineau, and A. Texier, A theoretical approach for the onset and control of unsteadiness in compressible afterbody flows, thèse de doctorat Three-dimensionality development inside standard parallelepipedic lid-driven cavities at Re = 1000, J. Fluids Struct, vol.17, pp.717-738, 2003.

C. Migeon, A. Texier, and G. Pineau, EFFECTS OF LID-DRIVEN CAVITY SHAPE ON THE FLOW ESTABLISHMENT PHASE, Journal of Fluids and Structures, vol.14, issue.4, pp.469-488, 2000.
DOI : 10.1006/jfls.1999.0282

H. K. Moffatt, Viscous and resistive eddies near a sharp corner, Journal of Fluid Mechanics, vol.6, issue.01, pp.1-18, 1964.
DOI : 10.1017/S0022112064000015

P. A. Monkewitz and L. N. Nguyen, Absolute instability in the near-wake of two-dimensional bluff bodies, Journal of Fluids and Structures, vol.1, issue.2, pp.165-184, 1987.
DOI : 10.1016/S0889-9746(87)90323-9

Y. Na and P. Moin, The structure of wall-pressure fluctuations in turbulent boundary layers with adverse pressure gradient and separation, Journal of Fluid Mechanics, vol.377, pp.347-373, 1998.
DOI : 10.1017/S0022112098003218

B. R. Noack and H. Eckelmann, A global stability analysis of the steady and periodic cylinder wake, Journal of Fluid Mechanics, vol.74, issue.-1, pp.297-330, 1994.
DOI : 10.1016/0167-2789(92)90021-E

E. Non, R. Pierre, and J. Gervais, Linear stability of the three-dimensional lid-driven cavity, Physics of Fluids, vol.18, issue.8, p.18, 2006.
DOI : 10.1063/1.2335153

L. Pauley, P. Moin, and W. Reynolds, The structure of two-dimensional separation, Journal of Fluid Mechanics, vol.97, issue.-1, pp.397-411, 1990.
DOI : 10.1016/0021-9991(85)90148-2

Y. Peng, Y. Shiau, and R. R. Hwang, Transition in a 2D lid driven cavity flow, Computers and Fluids, pp.337-352, 2003.

S. Piponniau, Instationnarités dans les décollements compressibles : cas des couches limites soumisesàsoumises`soumisesà ondes de choc, 2009.

S. Piponniau, J. Dussauge, J. Debì-eve, and P. Dupont, A simple model for low-frequency unsteadiness in shock-induced separation, Journal of Fluid Mechanics, vol.27, 2009.
DOI : 10.1017/S0022112007009044

URL : https://hal.archives-ouvertes.fr/hal-01454909

M. Poliashenko and C. K. Aidun, A direct method for computation of simple bifurcations, Journal of Computational Physics, vol.121, issue.2, pp.246-260, 1995.
DOI : 10.1016/S0021-9991(95)90068-3

L. Prandtl, The Mechanics of Viscous Fluids, 1935.
DOI : 10.1007/978-3-642-91486-7_2

A. K. Prasad and J. R. Koseff, Reynolds number and end???wall effects on a lid???driven cavity flow, Physics of Fluids A: Fluid Dynamics, vol.1, issue.2, pp.208-218, 1989.
DOI : 10.1063/1.857491

M. Provansal, C. Mathis, and L. Boyer, B??nard-von K??rm??n instability: transient and forced regimes, Journal of Fluid Mechanics, vol.45, issue.-1, p.1, 1987.
DOI : 10.1017/S0022112082002122

N. Reau and A. Tumin, Harmonic Perturbations in Turbulent Wakes, AIAA Journal, vol.40, issue.3, pp.526-530, 2002.
DOI : 10.2514/2.1677

N. Reau and A. Tumin, On harmonic perturbations in a turbulent mixing layer, European Journal of Mechanics - B/Fluids, vol.21, issue.2, pp.143-155, 2002.
DOI : 10.1016/S0997-7546(01)01170-0

W. C. Reynolds and A. K. Hussain, The mechanics of an organized wave in turbulent shear flow. Part 3. Theoretical models and comparisons with experiments, Journal of Fluid Mechanics, vol.29, issue.02, pp.263-288, 1972.
DOI : 10.1063/1.1762299

U. Rist and U. Maucher, Direct numerical simulation of 2D and 3D instability waves in a laminar separation bubble, AGARD-CP, vol.551, pp.361-367, 1994.

U. Rist and U. Maucher, Investigations of time-growing instabilities in laminar separation bubbles, European Journal of Mechanics - B/Fluids, vol.21, issue.5, pp.495-509, 2002.
DOI : 10.1016/S0997-7546(02)01205-0

J. Robinet and . Ch, Stabilité linéaire d'unécoulementunécoulement présentant une onde de choc, 1999.

J. Robinet and . Ch, Bifurcations in shock-wave/laminar-boundary-layer interaction: global instability approach, Journal of Fluid Mechanics, vol.579, pp.67-94, 2007.
DOI : 10.1017/S0022112007005095

J. Robinet, . Ch, and G. Casalis, Shock Oscillations in Diffuser Modeled by a Selective Noise Amplification, AIAA Journal, vol.37, issue.4, pp.453-459, 1998.
DOI : 10.2514/2.755

C. Robitaillié-montané, Une approche non locale pour l'etude des instabilites lineaires. Application a l'ecoulement de couche limite compressible le long d'une ligne de partage, 2005.

D. Rodríguez and V. Theofilis, Massively parallel numerical solution of the biglobal linear instability eigenvalue problem. 6 th AIAA Aerospace Sciences Meeting and Exhibit -AIAA Paper, 2008.

A. Roshko, Perspectives on bluff body aerodynamics, Journal of Wind Engineering and Industrial Aerodynamics, vol.49, issue.1-3, pp.79-100, 1993.
DOI : 10.1016/0167-6105(93)90007-B

M. Sahin and R. G. Owens, A novel fully-implicit finite volume method applied to the lid driven cavity problem, Int. J. Numer. Meth. Fluids, pp.42-79, 2003.

J. Sanchez, F. Marques, and J. M. Lopez, A Continuation and Bifurcation Technique for Navier???Stokes Flows, Journal of Computational Physics, vol.180, issue.1, pp.78-98, 2002.
DOI : 10.1006/jcph.2002.7072

P. J. Schmid and D. S. Henningson, Stability and Transition in Shear Flows, Applied Mathematical Sciences, vol.142, 2001.
DOI : 10.1007/978-1-4613-0185-1

R. Schreiber and H. B. Keller, Driven cavity flows by efficient numerical techniques, Journal of Computational Physics, vol.49, issue.2, pp.310-321, 1983.
DOI : 10.1016/0021-9991(83)90129-8

G. B. Schubauer and H. K. Skramstad, Laminar boundary-layer oscillations and transition on a flat plate, Journal of Research of the National Bureau of Standards, vol.38, issue.2, 1948.
DOI : 10.6028/jres.038.013

P. N. Shankar and M. D. Deshpande, Fluid Mechanics in the Driven Cavity, Annual Review of Fluid Mechanics, vol.32, issue.1, pp.93-136, 2000.
DOI : 10.1146/annurev.fluid.32.1.93

C. Shen, Numerical simulation of viscous flow using a solution-adaptative method, 1991.

J. Shen, Hopf bifurcation of the unsteady regularized driven cavity flow, Journal of Computational Physics, vol.95, issue.1, pp.228-245, 1991.
DOI : 10.1016/0021-9991(91)90261-I

M. P. Simens, L. Gonzàlez, V. Theofilis, and R. Blanco, On fundamental instability mechanisms of nominally two-dimensional separation bubbles. 6 th IUTAM Symposium on Laminar-Turbulent Transition, 2004.

D. Sipp and A. Lebedev, Global stability of base and mean flows: a general approach and its applications to cylinder and open cavity flows, Journal of Fluid Mechanics, vol.6, pp.333-358, 2007.
DOI : 10.1007/BF00127673

A. J. Smits and J. Dussauge, Turbulent Shear Layers in Supersonic Flow, 1996.

R. L. Street and J. R. Koseff, The lid-driven cavity flow : a synthesis of qualitative and quantitative observations, ASME Journal of Fluids Engineering, vol.106, pp.390-398, 1984.

R. L. Street and J. R. Koseff, On end wall effects in a lid-driven cavity flow, ASME Journal of Fluids Engineering, vol.106, pp.385-389, 1984.

R. L. Street and J. R. Koseff, Visualization studies of a shear driven threedimensional recirculating flow, ASME Journal of Fluids Engineering, vol.106, pp.21-29, 1984.

V. Strouhal, 1878, ¨ Uber eine besondere art der tonerregung (sur un mode particulier de génération du son), Annalen der Physik und Chemie, vol.5, p.216

C. K. Tam and D. E. Burton, Sound generated by instability waves of supersonic flows. Part 1. Two-dimensional mixing layers, Journal of Fluid Mechanics, vol.19, issue.-1, pp.249-271, 1984.
DOI : 10.1016/0022-460X(77)90467-9

C. K. Tam and D. E. Burton, Sound generated by instability waves of supersonic flows. Part 2. Axisymmetric jets, Journal of Fluid Mechanics, vol.12, issue.-1, pp.273-295, 1984.
DOI : 10.1109/TAU.1967.1161904

C. K. Tam and F. Q. Hu, The instability and acoustic wave modes of supersonic mixing layers inside a rectangular channel, Journal of Fluid Mechanics, vol.196, pp.51-76, 1989.
DOI : 10.1086/161059

C. K. Tam and P. J. Morris, The radiation of sound by the instability waves of a compressible plane turbulent shear layer, Journal of Fluid Mechanics, vol.17, issue.02, pp.349-381, 1980.
DOI : 10.1063/1.861404

C. K. Tam and J. C. Webb, Dispersion-Relation-Preserving Finite Difference Schemes for Computational Acoustics, Journal of Computational Physics, vol.107, issue.2, pp.262-281, 1993.
DOI : 10.1006/jcph.1993.1142

V. Theofilis, Globally unstable basic flows in open cavities, AIAA Paper, 1965.

V. Theofilis, Linear instability analysis in two spatial dimensions, ECCOMAS, 1998.

V. Theofilis, Advances in global linear instability analysis of nonparallel and three-dimensional flows, Progress in Aerospace Sciences, pp.249-315, 2003.
DOI : 10.1016/S0376-0421(02)00030-1

V. Theofilis, D. Barkley, and S. Sherwin, Spectral/hp element technology for global flow instability and control, Aeronautical Journal, vol.106, pp.615-619, 2002.

V. Theofilis and T. Colonius, Three-dimensional instabilities of compressible flow over open cavities : direct solution of the biglobal eigenvalue problem. 34 th Fluid Dynamics Conference and Exhibit -AIAA Paper, 2004.

V. Theofilis, P. W. Duck, and J. Owen, Viscous linear stability analysis of rectangular duct and cavity flows, Journal of Fluid Mechanics, vol.505, pp.249-286, 2004.
DOI : 10.1017/S002211200400850X

V. Theofilis, S. Hein, and U. Dallmann, On the origin of unsteadiness and threedimensionality in a laminar separation bubble, Phil. Trans. R. Lond. A, pp.358-3229, 2000.

V. Theofilis and S. J. Sherwin, Global instabilities in trailing-edge laminar separated flow on a naca 0012 aerofoil. 15 th ISABE, 2001.

G. Tiesinga, F. W. Wubs, and A. E. Veldman, Bifurcation analysis of incompressible flow in a driven cavity by the Newton???Picard method, Journal of Computational and Applied Mathematics, vol.140, issue.1-2, pp.751-772, 2002.
DOI : 10.1016/S0377-0427(01)00515-5

W. Tollmien, General instability criterion of laminar velocity distributions, 1935.

L. Tuckerman, Bifurcation Analysis for Timesteppers, Dynamics Days, 91998-01.
DOI : 10.1007/978-1-4612-1208-9_20

A. Tumin, D. Degani, and Y. Lifshitz, Theoretical studies of harmonic perturbations in turbulent shear flows for purpose of flow control. 3 rd Flow Control Conference -AIAA Paper 2006-3355, 2006.

N. Tylli, Induced global unsteadiness and sidewall effects in the backward-facing step flow : Experiments and numerical simulations, 2003.

F. Vignau and D. Arnal, Diagrammes de stabilité des profils de couche limite laminaire, enécoulementenécoulement bidimensionnel compressible, ONERA/DERAT, pp.4025-31055, 1991.

M. R. Visbal and D. V. Gaitonde, On the Use of Higher-Order Finite-Difference Schemes on Curvilinear and Deforming Meshes, Journal of Computational Physics, vol.181, issue.1, pp.155-185, 2002.
DOI : 10.1006/jcph.2002.7117

B. Wasistho, B. J. Geurts, and J. G. Kuerten, Numerical simulation of separated boundary-layer flow, Journal of Engineering Mathematics, vol.32, issue.2/3, pp.177-194, 1997.
DOI : 10.1023/A:1004238905147

I. Weisbrot and I. Wygnanski, On coherent structures in a highly excited mixing layer, Journal of Fluid Mechanics, vol.93, issue.-1, pp.137-159, 0195.
DOI : 10.1017/S0022112074001121

P. T. Williams and A. J. Baker, Numerical simulations of laminar flow over a 3D backward-facing step, International Journal for Numerical Methods in Fluids, vol.21, issue.11, pp.1159-1183, 1997.
DOI : 10.1002/(SICI)1097-0363(19970615)24:11<1159::AID-FLD534>3.0.CO;2-R

C. H. Williamson and A. Roshko, Measurements of base pressure in the wake of a cylinder at low reynolds numbers, Z. Flugwiss. Weltraumforsch, vol.14, pp.28-46, 1990.

A. Zebib, Stability of viscous flow past a circular cylinder, Journal of Engineering Mathematics, vol.53, issue.2, pp.155-165, 1987.
DOI : 10.1007/BF00127673