R. J. Adrian, On the role of conditional averages in turbulence theory, Fourth Biennial Symposium on Turbulence in Liquids, pp.323-332, 1975.

R. J. Adrian, Stochastic estimation of conditional structure: a review, Applied Scientific Research, vol.55, issue.3-4, pp.291-303, 1994.
DOI : 10.1007/BF00849106

R. J. Adrian, C. D. Meinhart, and C. D. Tomkins, Vortex organization in the outer region of the turbulent boundary layer, Journal of Fluid Mechanics, vol.422, pp.1-54, 2000.
DOI : 10.1017/S0022112000001580

B. Ahn, W. R. Graham, and S. A. Rizzi, A structure-based model for turbulent-boundary-layer wall pressures, Journal of Fluid Mechanics, vol.650, pp.443-478, 2010.
DOI : 10.1017/S0022112009006624

A. Amador-medeiros, B. Alimonti, S. Gardner, A. Callsen, and . Klabes, An SEA modeling of general surface pressure excitations based on their wavenumber-frequency spectrum. Inter- Noise, 2016.

R. K. Amiet, Noise due to turbulent flow past a trailing edge, Journal of Sound and Vibration, vol.47, issue.3, pp.387-393, 1976.
DOI : 10.1016/0022-460X(76)90948-2

R. A. Antonia and L. Fulachier, Topology of a turbulent boundary layer with and without wall suction, Journal of Fluid Mechanics, vol.16, issue.-1, pp.429-451, 1989.
DOI : 10.1017/S0022112067001740

R. A. Antonia, D. K. Bisset, and L. W. Browne, Effect of Reynolds number on the topology of the organized motion in a turbulent boundary layer, Journal of Fluid Mechanics, vol.22, issue.-1, pp.267-286, 1990.
DOI : 10.1017/S0022112081001791

G. Aubard, P. S. Volpiani, X. Gloerfelt, and J. Robinet, Comparison of subgrid-scale viscosity models and selective filtering strategy for large-eddy simulations. Flow, Turbulence and Combustion, pp.497-518, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01069582

J. Baltzer, R. J. Adrian, and X. Wu, Turbulent boundary layer structure identification via POD. Center for Turbulence Research, 2010.

W. V. Bhat, Flight test measurement of exterior turbulent boundary layer pressure fluctuations on Boeing model 737 airplane, Journal of Sound and Vibration, vol.14, issue.4, pp.439-457, 1971.
DOI : 10.1016/0022-460X(71)90574-8

H. Blackwelder and R. F. Eckelmann, Streamwise vortices associated with the bursting phenomenon, Journal of Fluid Mechanics, vol.41, issue.03, pp.577-594, 1979.
DOI : 10.1146/annurev.fl.07.010175.001515

R. F. Blackwelder and R. E. Kaplan, On the wall structure of the turbulent boundary layer, Journal of Fluid Mechanics, vol.60, issue.01, pp.89-112, 1976.
DOI : 10.1017/S0022112069000395

R. F. Blackwelder and L. S. Kovasznay, Time Scales and Correlations in a Turbulent Boundary Layer, Physics of Fluids, vol.15, issue.9, pp.1545-1554, 1972.
DOI : 10.1063/1.1694128

B. W. Blake, Mechanics of flow-induced sound and vibration General concepts and elementary sources, pp.130-149, 1986.

H. Blasius, Grenzschichten in flüssigkeiten mit kleiner reibung, Z. Math. Phys, vol.56, pp.1-37, 1908.

C. Bogey and C. Bailly, A family of low dispersive and low dissipative explicit schemes for flow and noise computations, Journal of Computational Physics, vol.194, issue.1, pp.194-214, 2004.
DOI : 10.1016/j.jcp.2003.09.003

J. Bonnet, D. R. Cole, J. Delville, M. N. Glauser, and L. S. Ukeiley, Stochastic estimation and proper orthogonal decomposition: Complementary techniques for identifying structure, Experiments in Fluids, vol.31, issue.8, pp.307-314, 1994.
DOI : 10.1007/978-94-011-2098-2_20

P. Bradshaw, ???Inactive??? motion and pressure fluctuations in turbulent boundary layers, Journal of Fluid Mechanics, vol.29, issue.02, pp.241-258, 1967.
DOI : 10.2514/3.2988

P. Bradshaw, The turbulence structure of equilibrium boundary layers, Journal of Fluid Mechanics, vol.11, issue.04, pp.625-645, 1967.
DOI : 10.2514/8.2938

T. F. Brooks and T. H. Hodgson, Trailing edge noise prediction from measured surface pressures, Journal of Sound and Vibration, vol.78, issue.1, pp.69-117, 1981.
DOI : 10.1016/S0022-460X(81)80158-7

T. E. Burton, Wall pressure fluctuations at smooth and rough surfaces under turbulent boundary layers with favorable and adverse pressure gradients, 1973.
DOI : 10.1121/1.1982652

T. Burton, The connection between intermittent turbulent activity near the wall of a turbulent boundary layer with pressure fluctuations at the wall, Massachusetts Inst. of Tech. Report, vol.1, 1974.

B. J. Cantwell, Organized motion in turbulent flow Annual review of fluid mechanics, pp.457-515, 1981.

L. Castillo and W. K. George, Similarity Analysis for Turbulent Boundary Layer with Pressure Gradient: Outer Flow, AIAA Journal, vol.2, issue.1, pp.41-47, 2001.
DOI : 10.1063/1.863452

M. R. Catlett, J. B. Forest, J. M. Anderson, and D. O. Stewart, Empirical Spectral Model of Surface Pressure Fluctuations beneath Adverse Pressure Gradients, 20th AIAA/CEAS Aeroacoustics Conference, pp.16-20, 2014.
DOI : 10.1017/S0022112098003218

P. Chakraborty, S. Balachandar, and R. Adrian, On the relationships between local vortex identification schemes, Journal of Fluid Mechanics, vol.535, pp.189-214, 2005.
DOI : 10.1017/S0022112005004726

P. Chang, U. Piomelli, and W. Blake, Relationship between wall pressure and velocity-field sources, Physics of Fluids, vol.11, issue.11, pp.3434-3448, 1999.
DOI : 10.1016/0096-3003(86)90114-1

P. A. Chang, Relationship between turbulent wall pressure and velocity field sources, 1998.
DOI : 10.1063/1.870202

D. M. Chase, Modeling the wavevector-frequency spectrum of turbulent boundary layer wall pressure, Journal of Sound and Vibration, vol.70, issue.1, pp.29-67, 1980.
DOI : 10.1016/0022-460X(80)90553-2

D. M. Chase, The character of the turbulent wall pressure spectrum at subconvective wavenumbers and a suggested comprehensive model, Journal of Sound and Vibration, vol.112, issue.1, pp.125-147, 1987.
DOI : 10.1016/S0022-460X(87)80098-6

M. S. Chong, A. E. Perry, and B. J. Cantwell, A general classification of three?dimensional flow fields, Physics of Fluids A: Fluid Dynamics, vol.31, issue.5, p.765, 1990.
DOI : 10.1017/S0022112081002954

K. T. Christensen and R. J. Adrian, Statistical evidence of hairpin vortex packets in wall turbulence, Journal of Fluid Mechanics, vol.431, pp.433-443, 2001.
DOI : 10.1017/S0022112001003512

F. Clauser, Turbulent Boundary Layers in Adverse Pressure Gradients, Journal of the Aeronautical Sciences, vol.21, issue.2, pp.91-108, 1954.
DOI : 10.1017/S0305004100019575

J. A. Cockburn and A. C. Jolly, Structural-acoustic response, noise transmission losses and interior noise levels of an aircraft fuselage excited by random pressure fields, pp.68-70, 1968.

E. Cohen, Etude de la pression pariétale et du bruit de couches limites turbulentes avec gradient de pression, Ecole Nationale Supérieure des Arts et Métiers, 2015.

E. Cohen and X. Gloerfelt, Effect of pressure gradients on turbulent boundary layer noise and wall-pressure fluctuations, 21st AIAA/CEAS Aeroacoustics Conference, pp.22-26, 2015.
DOI : 10.1063/1.858179

D. Coles, The law of the wake in the turbulent boundary layer, Journal of Fluid Mechanics, vol.18, issue.02, pp.191-226, 1956.
DOI : 10.2514/8.2426

O. Collery, Comparison of turbulent boundary layer auto-spectral models with flight tests results, 2010.

O. Collery, M. Etchessahar, and M. Alaoui, Flight deck shape effect on turbulent boundary layer auto-spectrum, 21 st International Congress on Acoustics, 2013.
DOI : 10.1121/1.4799711

G. Comte-bellot, J. Sabot, and I. Saleh, Detection of Intermittent Events Maintaining Reynolds Stress, Proceedings of the Dynamic Flow Conference 1978 on Dynamic Measurements in Unsteady Flows, pp.213-229, 1978.
DOI : 10.1007/978-94-009-9565-9_12

G. M. Corcos, The structure of the turbulent pressure field in boundary-layer flows, Journal of Fluid Mechanics, vol.14, issue.03, pp.353-378, 1964.
DOI : 10.1121/1.1908336

E. R. Corino and R. S. Brodkey, A visual investigation of the wall region in turbulent flow, Journal of Fluid Mechanics, vol.21, issue.01, pp.1-30, 1969.
DOI : 10.1080/14786443608561562

S. Corrsin, Investigation of flow in an axially symmetrical heated jet of air, 1943.

S. Corrsin and A. L. Kistler, The free-stream boundaries of turbulent flows, NACA Tech Notes, issue.3133, 1954.

A. D. Craik, Non-linear resonant instability in boundary layers, Journal of Fluid Mechanics, vol.34, issue.02, pp.393-413, 1971.
DOI : 10.2514/8.2920

R. Cucitore, M. Quadrio, and A. Baron, On the effectiveness and limitations of local criteria for the identification of a vortex, European Journal of Mechanics - B/Fluids, vol.18, issue.2, pp.261-282, 1999.
DOI : 10.1016/S0997-7546(99)80026-0

J. Delery, Effet de la viscosité et couche limite. support de cours : ENSTA-INSTN, 2007.

D. J. Dennis and D. B. Nickels, Experimental measurement of large-scale three-dimensional structures in a turbulent boundary layer. Part 1. Vortex packets, Journal of Fluid Mechanics, vol.673, pp.180-217, 2011.
DOI : 10.1017/S0022112009007721

D. M. Dhanak, A. P. Dowling, and C. Si, Coherent vortex model for surface pressure fluctuations induced by the wall region of a turbulent boundary layer, Physics of Fluids, vol.37, issue.9, p.9, 1997.
DOI : 10.1121/1.380514

S. A. Dixit and O. N. Ramesh, Large-scale structures in turbulent and reverse-transitional sink flow boundary layers, Journal of Fluid Mechanics, vol.446, issue.20, pp.233-273, 2010.
DOI : 10.1017/S0022112091000757

P. Druault, X. Gloerfelt, and T. Mervant, Investigation of flow structures involved in sound generation by two- and three-dimensional cavity flows, Computers & Fluids, vol.48, issue.1, pp.54-67, 2011.
DOI : 10.1016/j.compfluid.2011.03.014
URL : https://hal.archives-ouvertes.fr/hal-01069687

P. A. Durbin and B. A. Reif, Statistical theory and modeling for turbulent flows, 2002.
DOI : 10.1002/9780470972076

H. U. Eckert, Simplified Treatment of the Turbulent Boundary Layer Along a Cylinder in Compressible Flow, Journal of the Aeronautical Sciences, vol.17, issue.2, pp.23-28, 1952.
DOI : 10.2514/8.2076

B. M. Efimtsov, Characteristics of the field of turbulent wall pressure fluctuations at large Reynolds numbers, Soviet Physics -Acoustics, vol.28, issue.4, pp.289-292, 1982.

B. M. Efimtsov, N. M. Kozlov, S. V. Kravchenko, and A. O. Andersson, Wall pressure-fluctuation spectra at small forward-facing steps, 5th AIAA/CEAS Aeroacoustics Conference and Exhibit, 1999.
DOI : 10.2514/6.1999-1964

H. A. Einstein and H. Li, The viscous sublayer along a smooth boundary, J. Eng. Mech. Div. ASCE, vol.82, issue.1, 1956.

G. E. Elsinga, R. J. Adrian, B. W. Van-oudheusden, and F. Scarano, Three-dimensional vortex organization in a high-Reynolds-number supersonic turbulent boundary layer, Journal of Fluid Mechanics, vol.18, pp.35-60, 2010.
DOI : 10.1007/BF00266260

R. Ewert, M. Meinke, and W. Schröder, Aeroacoustic source terms for the linearized Euler equations, 6th Aeroacoustics Conference and Exhibit, 2000.
DOI : 10.2514/6.2000-2046

R. Ewert, J. Dierke, J. Siebert, A. Neifeld, C. Appel et al., CAA broadband noise prediction for aeroacoustic design, Journal of Sound and Vibration, vol.330, issue.17, pp.4139-4160, 2011.
DOI : 10.1016/j.jsv.2011.04.014

F. J. Fahy, Statistical Energy Analysis: A Critical Overview, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.346, issue.1681, pp.431-447, 1681.
DOI : 10.1098/rsta.1994.0027

R. E. Falco, Coherent motions in the outer region of turbulent boundary layers, Physics of Fluids, vol.20, issue.10, pp.124-132, 1977.
DOI : 10.1063/1.861721

A. J. Favre, J. J. Gaviglio, and R. Dumas, Space-time double correlations and spectra in a turbulent boundary layer, Journal of Fluid Mechanics, vol.21, issue.04, pp.313-342, 1957.
DOI : 10.1007/BF02008148

H. H. Fernholz and P. J. Finley, A critical commentary on mean flow data for two-dimensional compressible boundary layers, 1980.

S. Finnveden, F. Birgersson, U. Ross, and T. Kremer, A model of wall pressure correlation for prediction of turbulence-induced vibration, Journal of Fluids and Structures, vol.20, issue.8, pp.1127-1143, 2005.
DOI : 10.1016/j.jfluidstructs.2005.05.012

B. Ganapathisubramani, N. Hutchins, W. T. Hambleton, E. K. Longmire, and I. Marusic, Investigation of large-scale coherence in a turbulent boundary layer using two-point correlations, Journal of Fluid Mechanics, vol.524, pp.57-80, 2005.
DOI : 10.1017/S0022112004002277

J. R. Gavin, Unsteady forces and sound caused by boundary layer turbulence entering a turbomachinery rotor, 2002.

X. Gloerfelt and J. Berland, Turbulent boundary-layer noise: direct radiation at Mach number 0.5, Journal of Fluid Mechanics, vol.29, pp.318-351, 2013.
DOI : 10.1098/rspa.1956.0037
URL : https://hal.archives-ouvertes.fr/hal-01069574

X. Gloerfelt and P. Lafon, Direct computation of the noise induced by a turbulent flow through a diaphragm in a duct at low Mach number, Computers & Fluids, vol.37, issue.4, pp.388-401, 2008.
DOI : 10.1016/j.compfluid.2007.02.004
URL : https://hal.archives-ouvertes.fr/hal-00086938

X. Gloerfelt and F. Margnat, Effect of Mach number on boundary layer noise, 20th AIAA/CEAS Aeroacoustics Conference, pp.16-20, 2014.
DOI : 10.2514/3.12112

X. Gloerfelt and J. Robinet, A silent inflow condition for the study of boundary layer noise, 19th AIAA/CEAS Aeroacoustics Conference, pp.27-29, 2013.
DOI : 10.1017/S0022112010001370

P. W. Goodwin, An in-flight supersonic TBL surface pressure fluctuation model, Boeing Document, pp.6-81571, 1994.

M. Goody, Empirical Spectral Model of Surface Pressure Fluctuations, AIAA Journal, vol.5, issue.3, pp.1788-1794, 2004.
DOI : 10.2514/6.2002-2565

S. V. Gordeyev and F. Thomas, A temporal proper decomposition (TPOD) for closed-loop flow control, Experiments in Fluids, vol.441, issue.9, p.2013
DOI : 10.1017/S0022112001004803

L. Graftieaux, M. Michard, and N. Grosjean, Combining PIV, POD and vortex identification algorithms for the study of unsteady turbulent swirling flows, Measurement Science and Technology, vol.12, issue.9, p.1422, 2001.
DOI : 10.1088/0957-0233/12/9/307

W. R. Graham, A COMPARISON OF MODELS FOR THE WAVENUMBER???FREQUENCY SPECTRUM OF TURBULENT BOUNDARY LAYER PRESSURES, Journal of Sound and Vibration, vol.206, issue.4, pp.541-565, 1997.
DOI : 10.1006/jsvi.1997.1114

H. L. Grant, The large eddies of turbulent motion, Journal of Fluid Mechanics, vol.2, issue.02, pp.149-190, 1958.
DOI : 10.1063/1.1722760

E. J. Gutmark, S. Verfaillie, J. Bonnet, and F. Grinstein, Linear stochastic estimation of a swirling jet, AIAA Journal, vol.44, issue.3, pp.457-468, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00123460

G. Haller, Lagrangian coherent structures from approximate velocity data, Physics of Fluids, vol.10, issue.6, pp.1851-1861, 1994.
DOI : 10.1142/S0218127498000875

G. Haller, An objective definition of a vortex, Journal of Fluid Mechanics, vol.525, pp.1-26, 2005.
DOI : 10.1017/S0022112004002526

G. Haller and F. J. Beron-vera, Coherent Lagrangian vortices: the black holes of turbulence, Journal of Fluid Mechanics, vol.52, issue.53, p.4, 2013.
DOI : 10.1029/2008GL033957

W. T. Hambleton, N. Hutchins, and I. Marusic, Simultaneous orthogonal-plane particle image velocimetry measurements in a turbulent boundary layer, Journal of Fluid Mechanics, vol.560, pp.53-64, 2006.
DOI : 10.1017/S0022112006000292

Z. Harun, J. P. Monty, R. Mathis, and I. Marusic, Pressure gradient effects on the large-scale structure of turbulent boundary layers, Journal of Fluid Mechanics, vol.461, pp.477-498, 2013.
DOI : 10.1063/1.3006423
URL : https://hal.archives-ouvertes.fr/hal-00807003

G. He, C. Pan, L. Feng, Q. Gao, and J. Wang, Evolution of Lagrangian coherent structures in a cylinder-wake disturbed flat plate boundary layer, Journal of Fluid Mechanics, vol.16, pp.274-306, 2016.
DOI : 10.1017/S0022112088000345

G. He and J. Zhang, Elliptic model for space-time correlations in turbulent shear flows, Physical Review E, vol.10, issue.5, p.55303, 2006.
DOI : 10.1017/S0022112087000892

M. R. Head and P. Bandyopadhyay, New aspects of turbulent boundary-layer structure, Journal of Fluid Mechanics, vol.19, issue.-1, pp.297-338, 1981.
DOI : 10.1017/S0022112057000166

B. P. Hoffmann, K. C. Muck, and P. Bradshaw, The effect of concave surface curvature on turbulent boundary layers, Journal of Fluid Mechanics, vol.13, issue.-1, pp.371-403, 1985.
DOI : 10.1017/S0022112079000380

P. J. Holmes, J. L. Lumley, and G. Berkooz, Turbulence, coherent structures, symmetry and dynamical systems, 1996.

M. S. Howe, Acoustics of fluid-structures interactions, chapter 3, Sound generation in a fluid with rigid boundaries, pp.164-166, 1998.

N. Hu and M. Herr, Characteristics of Wall Pressure Fluctuations for a Flat Plate Turbulent Boundary Layer with Pressure Gradients, 22nd AIAA/CEAS Aeroacoustics Conference, 2016.
DOI : 10.1016/S0022-460X(81)80158-7

N. Hu, C. Appel, M. Herr, N. Reiche, and R. Ewert, Numerical Study of Wall Pressure Fluctuations for Zero and Non-Zero Pressure Gradient Turbulent Boundary Layers, 22nd AIAA/CEAS Aeroacoustics Conference, 2016.
DOI : 10.2514/6.1999-1872

J. C. Hunt, A. A. Wray, and P. Moin, Eddies, stream, and convergence zones in turbulent flows, 1988.

A. K. Hussain, Coherent structures and turbulence, Journal of Fluid Mechanics, vol.30, issue.-1, pp.303-356, 1986.
DOI : 10.1017/S0022112081002917

N. Hutchins, W. T. Hambleton, and I. Marusic, Inclined cross-stream stereo particle image velocimetry measurements in turbulent boundary layers, Journal of Fluid Mechanics, vol.541, issue.-1, pp.21-54, 2005.
DOI : 10.1017/S0022112005005872

T. Hyhlík and H. Netrebská, Evaluation of Travelling Vortex Speed by Means of Dynamic Mode Decomposition and Residual Vorticity, EPJ Web of Conferences, vol.114, 2016.
DOI : 10.1051/epjconf/201611402045

A. J. Izzo, An experimental investigation of the turbulent characteristics of a boundary layer flow over a vibrating plate, 1969.

J. Jeong and F. Hussain, On the identification of a vortex, Journal of Fluid Mechanics, vol.150, issue.-1, pp.69-94, 1995.
DOI : 10.1063/1.858826

A. V. Johansson, P. H. Alfredsson, and H. Eckelmann, Evolution and dynamics of shear-layer structures in near-wall turbulence, Advances in turbulence, pp.383-390, 1987.
DOI : 10.1017/S0022112087000892

A. V. Johansson, P. H. Alfredsson, and J. Kim, Evolution and dynamics of shear-layer structures in near-wall turbulence, Journal of Fluid Mechanics, vol.212, issue.-1, pp.579-599, 1991.
DOI : 10.1017/S0022112087000892

M. B. Jones, I. Marusic, and A. E. Perry, Evolution and structure of sink-flow turbulent boundary layers, Journal of Fluid Mechanics, vol.428, pp.1-27, 2001.
DOI : 10.1017/S0022112000002597

C. Juan, D. Alamo, J. Jiménez, P. Zandonade, and R. D. Moser, Self-similar vortex clusters in the turbulent logarithmic region, J. Fluid Mech, vol.561, pp.329-358, 2006.

M. C. Junger and D. Feit, Sound, structures, and their interaction, 1986.

T. Kameda, M. Shinsuke, and H. Osaka, Non-Equilibrium and Equilibrium Boundary Layers without Pressure Gradient, IUTAM Symposium on Computational Physics and New Perspectives in Turbulence, pp.197-202, 2008.
DOI : 10.1007/978-1-4020-6472-2_30

Y. Kan, I. Beckman, and M. P. Martín, Turbulence Structure and Wall Signature in Hypersonic Turbulent Boundary Layer, 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, pp.24-27, 2013.
DOI : 10.1017/S002211208300049X

T. Kármán, Mechanische Ahnlichkeit und Turbulenz, pp.58-76, 1930.

S. Kida and H. Miura, Identification and analysis of vortical structures, European Journal of Mechanics - B/Fluids, vol.17, issue.4, pp.471-488, 1998.
DOI : 10.1016/S0997-7546(98)80005-8

H. Kim, S. J. Kline, and W. C. Reynolds, The production of turbulence near a smooth wall in a turbulent boundary layer, Journal of Fluid Mechanics, vol.37, issue.01, pp.133-160, 1971.
DOI : 10.2514/8.2010

Y. N. Kim and A. R. George, Trailing edge noise from hovering rotors, AIAA Journal, vol.20, issue.9, pp.1167-1174, 2005.

A. Klabes, C. Appel, and M. Herr, Fuselage Excitation During Cruise Flight Conditions: Measurement and Prediction of Pressure Point Spectra, 21st AIAA/CEAS Aeroacoustics Conference, pp.22-26, 2015.
DOI : 10.2514/6.2014-2910
URL : http://elib.dlr.de/97218/1/Klabes.AIAA.2015.pdf

A. Klabes, C. Appel, M. Herr, and S. Callsen, Fuselage excitation during cruise flight conditions: a new CFD based pressure point spectra model. Inter-Noise, 2016.
DOI : 10.2514/6.2015-3115
URL : http://elib.dlr.de/97218/1/Klabes.AIAA.2015.pdf

P. S. Klebanoff, Characteristics of turbulence in boundary layer with zero pressure gradient, Report, vol.1247, pp.1135-1153, 1954.

S. J. Kline, The role of visualization in the study of the structure of the turbulent boundary layer. Coherent Structure of Turbulent Boundary Layers, pp.1-26, 1978.

S. J. Kline and R. E. Falco, Summary of the AFOSR, MSU research specialists workshop on coherent structure in turbulent boundary layers, pp.1-56, 1979.

S. J. Kline and P. W. Runstadler, Some preliminary results of visual studies of the flow model of the wall layers of the turbulent boundary layer, Tans. ASME, pp.166-70, 1959.

S. J. Kline, W. C. Reynolds, F. A. Schraub, and P. W. Runstadler, The structure of turbulent boundary layers, Journal of Fluid Mechanics, vol.87, issue.04, pp.741-773, 1967.
DOI : 10.1115/1.3650567

A. N. Kolmogorov, The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers, Proceedings of the USSR Academy os Sciences, pp.299-303, 1941.
DOI : 10.1098/rspa.1991.0075

A. N. Kolmogorov, Dissipation of Energy in the Locally Isotropic Turbulence, Proceedings of the USSR Academy os Sciences, pp.16-18, 1941.
DOI : 10.1098/rspa.1991.0076

B. Koopman, Hamiltonian Systems and Transformation in Hilbert Space, Proceedings of the National Academy of Sciences, vol.17, issue.5, pp.315-318, 1931.
DOI : 10.1073/pnas.17.5.315
URL : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1076052/pdf

L. S. Kovasznay, Structure of the Turbulent Boundary Layer, Physics of Fluids, vol.10, issue.9, pp.25-30, 1958.
DOI : 10.1063/1.1762462

L. S. Kovasznay, V. Kibens, and R. F. Blackwelder, Large-scale motion in the intermittent region of a turbulent boundary layer, Journal of Fluid Mechanics, vol.23, issue.02, pp.41283-325, 1970.
DOI : 10.1002/j.1538-7305.1944.tb00874.x

R. H. Kraichnan, Pressure Fluctuations in Turbulent Flow over a Flat Plate, The Journal of the Acoustical Society of America, vol.28, issue.3, pp.378-390, 1956.
DOI : 10.1121/1.1908336

P. Krogstad and R. A. Antonia, Structure of turbulent boundary layers on smooth and rough walls, Journal of Fluid Mechanics, vol.219, issue.-1, pp.1-21, 1994.
DOI : 10.1007/BF00223400

A. L. Laganelli and H. F. Wolfe, Prediction of fluctuating pressure in attached and separated turbulent boundary-layer flow, Journal of Aircraft, vol.141, issue.6, pp.962-970, 1993.
DOI : 10.2514/6.1984-1677

L. Landweber, Effect of transverse curvature on frictional resistance, 1949.

J. Laufer, The structure of turbulence in fully developed pipe flow, 1954.

A. and L. Bot, Foundation of statistical energy analysis in vibroacoustics, OUP Oxford, 2015.

J. Lee and H. J. Sung, Structures in turbulent boundary layers subjected to adverse pressure gradients, Journal of Fluid Mechanics, vol.332, pp.101-131, 2009.
DOI : 10.1098/rsta.1991.0070

Z. Liu, R. J. Adrian, and T. J. Hanratty, Large-scale modes of turbulent channel flow: transport and structure, Journal of Fluid Mechanics, vol.448, pp.53-80, 2001.
DOI : 10.1017/S0022112001005808

M. V. Lowson, Prediction of boundary layer pressure fluctuations, 1968.

H. J. Lugt, The Dilemma of Defining a Vortex, Theoretical and Experimental Fluid Mechanics, pp.309-321, 1979.
DOI : 10.1007/978-3-642-67220-0_32

J. L. Lumley, Coherent Structures in Turbulence, Transition and Turbulence, pp.215-241, 1981.
DOI : 10.1016/B978-0-12-493240-1.50017-X

R. H. Lyon, Statistical energy analysis of dynamical systems: theory and applications, 1975.

R. H. Lyon and G. Maidanik, Power Flow between Linearly Coupled Oscillators, The Journal of the Acoustical Society of America, vol.34, issue.5, pp.623-639, 1962.
DOI : 10.1121/1.1918177

M. H. Mayam, Experimental study of the turbulence structures in a boundary layer subjected to a strong adverse pressure gradient, 2009.

B. E. Mcgrath and R. L. Simpson, Some features of surface pressure fluctuations in turbulent boundary layers with zero and favorable pressure gradients, 1988.

W. C. Meecham and M. T. Travis, Theoretical pressure correlation functions in turbulent boundary layers, Physics of Fluids, vol.85, issue.6, pp.1119-1131, 1980.
DOI : 10.1063/1.863114

M. V. Melander and F. Hussain, Polarized vorticity dynamics on a vortex column, Physics of Fluids A: Fluid Dynamics, vol.5, issue.8, 1992.
DOI : 10.1017/S0022112077001979

R. Mellen, On modeling convective turbulence, The Journal of the Acoustical Society of America, vol.88, issue.6, pp.2991-2893, 1990.
DOI : 10.1121/1.399695

A. G. Mercer, Turbulent boundary layer flow over a flat plate vibrating with transverse standing waves, 1962.

R. N. Meroney and P. Bradshaw, Turbulent boundary-layer growth over a longitudinally curved surface, AIAA Journal, vol.1, issue.11, pp.1448-1453, 1975.
DOI : 10.1017/S0022112065001301

S. T. Miller, Turbulent boundary layer models for acoustic analysis, 2002.
DOI : 10.2514/1.c031405

P. Moin, R. J. Adrian, and J. Kim, Stochastic estimation of organized structures in turbulent channel flow, Symposium of Turbulent Shear Flow, 1987.

J. F. Morrison, H. M. Tsai, and P. Bradshaw, Conditional-sampling schemes for turbulent flow, based on the variable-interval time averaging (VITA) algorithm, Experiments in Fluids, vol.123, issue.3, p.173, 1988.
DOI : 10.1007/BF02332982

R. D. Moser, Statistical analysis of near-wall structures in turbulent channel flow, chapter 5, Fundamentals of flow-induced vibration and noise, pp.45-62, 1990.

K. C. Muck, P. H. Hoffmann, and P. Bradshaw, The effect of convex surface curvature on turbulent boundary layers, Journal of Fluid Mechanics, vol.161, issue.-1, pp.347-369, 1985.
DOI : 10.1017/S0022112079000380

D. Musker, Explicit Expression for the Smooth Wall Velocity Distribution in a Turbulent Boundary Layer, AIAA Journal, vol.73, issue.6, pp.655-657, 1979.
DOI : 10.1017/S0022112056000135

S. Nakagawa and T. J. Hanratty, Particle image velocimetry measurements of flow over a wavy wall, Physics of Fluids, vol.245, issue.11, pp.3504-3507, 2001.
DOI : 10.1017/S0022112094002661

V. K. Natrajan, Y. Wu, and K. T. Christensen, Spatial signatures of retrograde spanwise vortices in wall turbulence, Journal of Fluid Mechanics, vol.574, pp.155-167, 2007.
DOI : 10.1017/S0022112006003788

L. R. Panton and J. H. Linebarger, Wall pressure spectra calculations for equilibrium boundary layers, Journal of Fluid Mechanics, vol.22, issue.02, pp.261-287, 1974.
DOI : 10.1121/1.1908224

L. J. Peltier and S. A. Hambric, Estimating turbulent-boundary-layer wall-pressure spectra from CFD RANS solutions, Journal of Fluids and Structures, vol.23, issue.6, pp.920-937, 2007.
DOI : 10.1016/j.jfluidstructs.2007.01.003

S. B. Pope, Turbulent flows, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00712179

A. Powell, Aerodynamic Noise and the Plane Boundary, The Journal of the Acoustical Society of America, vol.32, issue.8, pp.982-990, 1960.
DOI : 10.1121/1.1908347

A. K. Praturi and R. S. Brodkey, A stereoscopic visual study of coherent structures in turbulent shear flow, Journal of Fluid Mechanics, vol.30, issue.02, pp.251-272, 1978.
DOI : 10.1146/annurev.fl.07.010175.001515

R. G. Rackl and A. Weston, Modeling of turbulent boundary layer surface pressure fluctuations auto and cross spectra -verification and adjustments based on TU-144LL data, NASA/TM, 2005.

H. Reichardt, Complete representation of the turbulent velocity distribution in smooth pipes, Z. Angew Math. Mech, issue.31, pp.208-219, 1951.

D. Rempfer and H. F. , Evolution of three-dimensional coherent structures in a flat-plate boundary layer, Journal of Fluid Mechanics, vol.104, issue.-1, pp.351-375, 1994.
DOI : 10.1063/1.857573

S. A. Rizzi, R. G. Rackl, and E. V. Andrianov, Flight test measurement from the TU-144LL structure/cabin noise experiment, NASA/CR, 2000.

J. E. Robertson, Prediction of in-flight fluctuating pressure environments including protuberance induced flow, 1971.

S. K. Robinson, Coherent Motions in the Turbulent Boundary Layer, Annual Review of Fluid Mechanics, vol.23, issue.1, pp.601-639, 1991.
DOI : 10.1146/annurev.fl.23.010191.003125

S. K. Robinson, The kinematics of turbulent boundary layer structure, NASA STI/Recon Technical Report N, vol.91, p.26465, 1991.

J. C. Rotta, ¨ Uber die Theorie der turbulenten Grenzschichten, Mitteilungen aus dem Max- Planck-Institut für Strömungsforschung, 1950.
DOI : 10.1007/bf00534668

C. W. Rowley, I. Mezic, S. Bagheri, P. Schlatter, and D. S. Henningson, Spectral analysis of nonlinear flows, Journal of Fluid Mechanics, vol.641, pp.115-127, 2009.
DOI : 10.1017/S0022112003006694

Y. Rozenberg, Modélisation analytique du bruit aérodynamiquè a large bande des machines tournantes : utilisation de calculs moyennés de mécanique des fluides, 2007.

E. Salze, C. Bailly, O. Marsden, E. Jondeau, and D. Juvé, An experimental characterisation of wall pressure wavevector-frequency spectra in the presence of pressure gradients, 20th AIAA/CEAS Aeroacoustics Conference, pp.16-20, 2014.
DOI : 10.1006/jsvi.1996.0078

P. Schlatter and R. Orlü, Assessment of direct numerical simulation data of turbulent boundary layers, Journal of Fluid Mechanics, vol.27, pp.116-126, 2010.
DOI : 10.1063/1.2972935

M. Schlegel, B. Noack, P. Jordan, A. Dillmann, E. Gröeschel et al., On least-order flow representations for aerodynamics and aeroacoustics, Journal of Fluid Mechanics, vol.XLV, pp.367-398, 2012.
DOI : 10.1016/j.jsv.2011.04.018

H. Schlichting and K. Gersten, Boundary Layer Theory, 2000.
DOI : 10.1007/978-3-662-52919-5

H. H. Schloemer, Effects of Pressure Gradients on Turbulent???Boundary???Layer Wall???Pressure Fluctuations, The Journal of the Acoustical Society of America, vol.42, issue.1, pp.93-113, 1967.
DOI : 10.1121/1.1910581

P. J. Schmid and J. Sesterhenn, Dynamic mode decomposition of numerical and experimental data, 61st Annual Meeting of the APS Division of Fluid Dynamics, 2008.
DOI : 10.1175/1520-0442(1995)008<0377:POPAR>2.0.CO;2
URL : https://hal.archives-ouvertes.fr/hal-01020654

A. H. Shapiro, Film notes for vorticity, National Comittee for Fluid Mechanics, 1969.

M. Sieber, C. O. Paschereit, and K. Oberleithner, Spectral proper orthogonal decomposition, Journal of Fluid Mechanics, vol.137, pp.798-828, 2016.
DOI : 10.1017/jfm.2014.472
URL : http://arxiv.org/abs/1508.04642

M. Siefert and R. Ewert, Sweeping Sound Generation in Jets Realized with a Random Particle-Mesh Method, 15th AIAA/CEAS Aeroacoustics Conference (30th AIAA Aeroacoustics Conference), 2009.
DOI : 10.1063/1.868849

S. Siegel, J. Seidel, C. Fagley, D. M. Luchtenburg, K. Cohen et al., Lowdimensional modelling of a transcient cylinder wake using double proper orthogonal decomposition, J. Fluid Mech, vol.610, pp.1-42, 2008.

R. Simpson, M. Ghodbane, and B. Mcgrath, Surface pressure fluctuations in a separating turbulent boundary layer, Journal of Fluid Mechanics, vol.103, issue.-1, pp.167-186, 1987.
DOI : 10.1017/S002211208100339X

C. R. Smith and S. P. Metzler, The characteristics of low-speed streaks in the near-wall region of a turbulent boundary layer, Journal of Fluid Mechanics, vol.20, issue.-1, pp.27-54, 1983.
DOI : 000__S0022112081002796

A. V. Smol-'yakov, V. M. Tkachenko, and J. S. Wood, Model of a field of pseudosonic turbulent wall pressures and experimental data. Soviet physics, Acoustics, vol.37, issue.6, pp.627-631, 1991.

P. R. Spalart and J. H. Watmuff, Experimental and numerical study of a turbulent boundary layer with pressure gradients, Journal of Fluid Mechanics, vol.24, issue.1, pp.337-371, 1993.
DOI : 10.1016/0168-9274(89)90058-5

C. K. Tam and Z. Dong, RADIATION AND OUTFLOW BOUNDARY CONDITIONS FOR DIRECT COMPUTATION OF ACOUSTIC AND FLOW DISTURBANCES IN A NONUNIFORM MEAN FLOW, Journal of Computational Acoustics, vol.04, issue.02, pp.175-201, 1996.
DOI : 10.1142/S0218396X96000040

Z. Tang and N. Jiang, Dynamic mode decomposition of hairpin vortices generated by a hemisphere protuberance, Science China Physics, Mechanics and Astronomy, vol.41, issue.1, pp.118-124, 2012.
DOI : 10.1007/s11071-005-2824-x

G. F. Tay, D. C. Kuhn, and M. F. Tachie, Adverse and Favourable Pressure Gradient Turbulent Flows Over Smooth and Rough Surfaces, 39th AIAA Fluid Dynamics Conference, pp.22-25, 2009.
DOI : 10.1017/S0022112001005808

T. Theodorsen, Mechanisms of turbulence, pp.1-19, 1952.

S. P. Timoshenko and S. Woinowsky-krieger, Theory of plates and shells, 1959.

A. A. Townsend, On the Fine-Scale Structure of Turbulence, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.208, issue.1095, pp.534-542, 1951.
DOI : 10.1098/rspa.1951.0179

A. A. Townsend, The structure of turbulent shear flow, 1976.

A. A. Townsend, The structure of turbulent shear flow, 1976.

F. Tubino and G. Solari, Double Proper Orthogonal Decomposition for Representing and Simulating Turbulence Fields, Journal of Engineering Mechanics, vol.131, issue.12, pp.1302-1312, 2005.
DOI : 10.1061/(ASCE)0733-9399(2005)131:12(1302)

R. J. Volino, M. P. Schultz, and K. A. Flack, Turbulent Structure in Rough and Smooth Wall Boundary Layers, J. Fluid Mech, vol.592, pp.263-293, 2007.
DOI : 10.1007/978-3-540-72604-3_13

H. Vollmers, Detection of vortices and quantitative evaluation of their main parameters from experimental velocity data, Measurement Science and Technology, vol.12, issue.8, p.1199, 2001.
DOI : 10.1088/0957-0233/12/8/329

J. M. Wallace, H. Eckelmann, and R. S. Brodkey, The wall region in turbulent shear flow, Journal of Fluid Mechanics, vol.37, issue.01, pp.39-48, 1972.
DOI : 10.1007/BF01772950

F. M. White, Viscous fluid flow, Mechanical Engineering Series, 1991.

W. W. Willmarth, Pressure Fluctuations Beneath Turbulent Boundary Layers, Annual Review of Fluid Mechanics, vol.7, issue.1, pp.13-38, 1975.
DOI : 10.1146/annurev.fl.07.010175.000305

W. W. Willmarth and S. S. Lu, Structure of the Reynolds stress near the wall, Journal of Fluid Mechanics, vol.37, issue.01, pp.65-92, 1972.
DOI : 10.1063/1.1762431

W. W. Willmarth and F. W. Roos, Resolution and structure of the wall pressure field beneath a turbulent boundary layer, Journal of Fluid Mechanics, vol.none, issue.01, pp.81-94, 1965.
DOI : 10.1121/1.1918431

W. W. Willmarth and C. E. Woolridge, Measurements of the fluctuating pressure at the wall beneath a thick turbulent boundary layer, Journal of Fluid Mechanics, vol.28, issue.02, pp.187-210, 1962.
DOI : 10.1121/1.1908224

Y. Wu and K. T. Christensen, Population trends of spanwise vortices in wall turbulence, Journal of Fluid Mechanics, vol.568, pp.55-76, 2006.
DOI : 10.1017/S002211200600259X

A. D. Young, Boundary Layers, 1989.

J. C. Yu and M. C. Joshi, On sound radiation from the trailing edge of an isolated airfoil in a uniform flow, 5th Aeroacoustics Conference, pp.79-0603, 1979.
DOI : 10.2514/3.59798

Y. S. Yu, Effects of transverse curvature on turbulent boundary layer characteristics, J. Ship Res, vol.3, pp.33-41, 1958.

Q. Zhang, L. Yingzheng, and S. Wang, The identification of coherent strucutres using proper orthogonal decomposition and dynamic mode decomposition, Journal of Fluid and Structures, vol.49, 2014.

C. D. Zhou, R. J. Adrian, S. Balachandar, and T. Kendall, Mechanisms for generating coherent packets of hairpin vortices in channel flow, Journal of Fluid Mechanics, vol.387, issue.1, pp.353-396, 1999.
DOI : 10.1017/S002211209900467X