A. Disposé-egalement-du-modèle-sous-maille-de-smaroginsky, Le choix du modèle sous-maille WALE est guidé par sa meilleur capacitécapacitéà modéliser les petites structures pour lesécoulementslesécoulements de parois et lesécoulementslesécoulements cisaillés. Finalement, les conditions d'entrée et de sortie du domaine utilisées ontétéontété optimisées pour assurer des propriétés de non-réflexion nécessairesnécessairesà l'application de la méthode LES/SI, Elles correspondent aux conditions aux limites caractéristiques pour leséquationsleséquations de Navier-Stokes (Navier- Stokes Characteristics Boundary Condition ? NSBC) [95] modifiées [64, 99]. Les modifications apportées viennent compenser le niveau de réflexion non nul des conditions aux limites originales, notamment aux basses fréquences [99]. Ceci est assuré par l'ajout d'un terme de correction qui compense les ondes acoustiques planes quittant le domaine. L'identification des ondes acoustiques planes est assurée par le filtre basé sur les caractéristiques

P. Testud, Y. Aurégan, P. Moussou, and A. Hirschberg, The whistling potentiality of an orifice in a confined flow using an energetic criterion, Journal of Sound and Vibration, vol.325, issue.4-5, pp.769-780, 2009.
DOI : 10.1016/j.jsv.2009.03.046
URL : https://hal.archives-ouvertes.fr/hal-00169941

W. Polifke, A. Poncet, C. O. Paschereit, and K. Döbbeling, RECONSTRUCTION OF ACOUSTIC TRANSFER MATRICES BY INSTATIONARY COMPUTATIONAL FLUID DYNAMICS, Journal of Sound and Vibration, vol.245, issue.3, pp.483-510, 2001.
DOI : 10.1006/jsvi.2001.3594

W. Polifke, Numerical techniques for identification of acoustic multi-ports, in: Advances in aeroacoustics and applications, 2004.

S. Föller and W. Polifke, Determination of Acoustic Transfer Matrices via Large Eddy Simulation and System Identification, 16th AIAA/CEAS Aeroacoustics Conference, pp.2010-3998
DOI : 10.2514/6.2010-3998

S. Föller and W. Polifke, Aeroacoustic Characterization of T-Junctions Based on Large Eddy Simulation and System Identification, 16th AIAA/CEAS Aeroacoustics Conference, pp.2010-3985
DOI : 10.2514/6.2010-3985

S. Föller and W. Polifke, Identification of aero-acoustic scattering matrices from large eddy simulation. application to sudden area expanion in duct, To be submitted to, Journal of Sound and Vibration, 2011.

Y. Aurégan and R. Starobinsky, Determination of acoustic energy dissipation/production potentiality from the acoustic transfer functions of a multiport, Acustica, vol.85, pp.788-792, 1999.

M. Karlsson and M. Åbom, Aeroacoustics of T-junctions???An experimental investigation, Journal of Sound and Vibration, vol.329, issue.10, pp.1783-1808, 2010.
DOI : 10.1016/j.jsv.2009.11.024

S. Föller, R. Kaess, and W. Polifke, Reconstruction of Acoustic Transfer Matrices from Large-Eddy-Simulations of Compressible Turbulent Flows, 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference), pp.14-2008
DOI : 10.2514/6.2008-3046

J. Kopitz, E. Bröcker, and W. Polifke, Characteristic-based filter for identification of planar acoustic waves in numerical simulation of turbulent compressible flow, 12th International Congress of Sound and Vibration

L. Ljung, System identification -Theory for the User, N.J, 1999.

W. Polifke and A. Gentemann, Order and Realisability of Impulse Response Filters for Accurate Identification of Acoustical Multi-ports from Transient CFD, The International Journal of Acoustics and Vibration, vol.9, issue.3, pp.139-148, 2004.
DOI : 10.20855/ijav.2004.9.3163

H. Boden and M. Åbom, Influence of errors on the two???microphone method for measuring acoustic properties in ducts, The Journal of the Acoustical Society of America, vol.79, issue.2, pp.541-549, 1986.
DOI : 10.1121/1.393542

M. L. Munjal and A. G. Doige, Theory of a two source-location method for direct experimental evaluation of the four-pole parameters of an aeroacoustic element, Journal of Sound and Vibration, vol.141, issue.2, pp.141-323, 1990.
DOI : 10.1016/0022-460X(90)90843-O

M. Åbom, Measurement of the scattering-matrix of acoustical two-ports, Mechanical Systems and Signal Processing, vol.5, issue.2, pp.89-104, 1991.
DOI : 10.1016/0888-3270(91)90017-Y

M. Åbom, A note on the experimental determination of acoustical two-port matrices, Journal of Sound and Vibration, vol.155, issue.1, pp.185-188, 1992.
DOI : 10.1016/0022-460X(92)90655-H

Y. Aurégan and M. Leroux, Failures in the discrete models for flow duct with perforations: an experimental investigation, Journal of Sound and Vibration, vol.265, issue.1, pp.109-121, 2003.
DOI : 10.1016/S0022-460X(02)01442-6

F. Nicoud and F. Ducros, Subgrid-scale stress modelling based on the square of the velocity gradient tensor, Flow, Turbulence and Combustion, vol.62, issue.3, pp.183-200, 1999.
DOI : 10.1023/A:1009995426001
URL : https://hal.archives-ouvertes.fr/hal-00910373

G. Hofmans, M. Ranucci, G. Ajello, Y. Aurégan, and A. Hirschberg, AEROACOUSTIC RESPONSE OF A SLIT-SHAPED DIAPHRAGM IN A PIPE AT LOW HELMHOLTZ NUMBER, 2: UNSTEADY RESULTS, Journal of Sound and Vibration, vol.244, issue.1, pp.37-77, 2001.
DOI : 10.1006/jsvi.2000.3458

M. V. Zagarola and A. J. Smits, Mean-flow scaling of turbulent pipe flow, Journal of Fluid Mechanics, vol.373, pp.33-79, 1998.
DOI : 10.1017/S0022112098002419

T. J. Poinsot and S. K. Lele, Boundary conditions for direct simulations of compressible viscous flows, Journal of Computational Physics, vol.101, issue.1, pp.104-129, 1992.
DOI : 10.1016/0021-9991(92)90046-2

W. Polifke, C. Wall, and P. Moin, Partially reflecting and non-reflecting boundary conditions for simulation of compressible viscous flow, Journal of Computational Physics, vol.213, issue.1, pp.437-449, 2006.
DOI : 10.1016/j.jcp.2005.08.016

R. Kaess, A. Huber, and W. Polifke, A Time-Domain Impedance Boundary Condition for Compressible Turbulent Flow, 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference), 2008.
DOI : 10.2514/6.2008-2921

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

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

T. Emmert, P. Lafon, and C. Bailly, Computation of Aeroacoustic Phenomena in Subsonic and Transonic Ducted Flows, 13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference), pp.2007-3429
DOI : 10.2514/6.2007-3429

T. Emmert, P. Lafon, and C. Bailly, Numerical study of self-induced transonic flow oscillations behind a sudden duct enlargement, Physics of Fluids, vol.21, issue.10, pp.157-168, 2009.
DOI : 10.1063/1.3247158
URL : https://hal.archives-ouvertes.fr/hal-00461435

]. G. Bibliographie1 and . Ajello, Mesures acoustiques dans les guides d'ondes en présence d'´ ecoulement -Mise au point d'un banc de mesure -ApplicationàApplication`Applicationà des discontinuités, 1997.

A. B. Anderson, A Jet???Tone Orifice Number for Orifices of Small Thickness???Diameter Ratio, The Journal of the Acoustical Society of America, vol.26, issue.1, pp.21-25, 1954.
DOI : 10.1121/1.1907284

A. B. Anderson, Metastable Jet???Tone States of Jets from Sharp???Edged, Circular, Pipe???Like Orifices, The Journal of the Acoustical Society of America, vol.27, issue.1, pp.13-21, 1955.
DOI : 10.1121/1.1907475

F. Archambeau, N. Méchitoua, and M. Sakiz, Code Saturne : a finite volume code for the computation of turbulent incompressible flows -industrial applications, International Journal on Finite Volumes, vol.1, issue.1, 2004.
URL : https://hal.archives-ouvertes.fr/hal-01115371

Y. Aurégan, A. Maurel, V. Pagneux, and J. F. Pinton, Sound-Flow Interactions, Lecture Notes in Physics, vol.586, 2002.
DOI : 10.1007/3-540-45880-8

Y. Aurégan and R. Starobinsky, Determination of acoustic energy dissipation/production potentiality from the acoustic transfer functions of a multiport, Acustica, vol.85, pp.788-792, 1999.

E. Bängtsson, D. Noreland, and M. Berggren, Shape optimization of an acoustic horn, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.11-12, pp.11-121533, 2003.
DOI : 10.1016/S0045-7825(02)00656-4

G. K. Batchelor, An introduction to fluid dynamics, Cambridge Mathematical Library, 1967.
DOI : 10.1017/CBO9780511800955

J. Berland, C. Bogey, and C. Bailly, Low-dissipation and low-dispersion fourth-order Runge- Kutta algorithm. Computers and Fluids, pp.1359-1363, 2006.

W. P. Bi, V. Pagneux, D. Lafarge, and Y. Aurégan, Modelling of sound propagation in a non-uniform lined duct using a Multi-Modal Propagation Method, Journal of Sound and Vibration, vol.289, issue.4-5, pp.1091-1111, 2006.
DOI : 10.1016/j.jsv.2005.03.021

W. K. Blake, Mechanics of Flow-Induced Sound and Vibration, 1986.

H. Boden and M. ?. Abom, Influence of errors on the two???microphone method for measuring acoustic properties in ducts, The Journal of the Acoustical Society of America, vol.79, issue.2, pp.541-549, 1986.
DOI : 10.1121/1.393542

C. Bogey, Calcul direct du bruit aérodynamique et validation de modèles acoustiques hybrides, 2000.

C. Bogey and C. Bailly, Three-dimensional non-reflective boundary conditions for acoustic simulation : far field formulation and validation test cases, Acta Acustica United with Acustica, vol.88, pp.463-471, 2002.

C. Bogey and C. Bailly, Turbulence and energy budget in a self-preserving round jet: direct evaluation using large eddy simulation, Journal of Fluid Mechanics, vol.88, pp.129-160, 2009.
DOI : 10.1063/1.2204060
URL : https://hal.archives-ouvertes.fr/hal-00595271

S. Boij and B. Nilsson, Reflection of sound at area expansions in a flow duct, Journal of Sound and Vibration, vol.260, issue.3, pp.477-498, 2003.
DOI : 10.1016/S0022-460X(02)00950-1

S. Boij and B. Nilsson, Scattering and absorption of sound at flow duct expansions, Journal of Sound and Vibration, vol.289, issue.3, pp.577-594, 2006.
DOI : 10.1016/j.jsv.2005.02.017

J. C. Bruggeman, A. Hirschberg, M. E. Van-dongen, A. P. Wijnands, and J. Gorter, Self-sustained aero-acoustic pulsations in gas transport systems: Experimental study of the influence of closed side branches, Journal of Sound and Vibration, vol.150, issue.3, pp.371-391, 1991.
DOI : 10.1016/0022-460X(91)90893-O

M. Bruneau, Manuel d'acoustique fondamentale, Hermes, 1998.

M. K. Bull and M. P. Norton, On the hydrodynamic and acoustic wall pressure fluctuations in turbulent pipe flow due to a 90?? mitred bend, Journal of Sound and Vibration, vol.76, issue.4, pp.561-586, 1981.
DOI : 10.1016/0022-460X(81)90270-4

S. Caro, CEAS-ASC highlights 2006, Journal of Sound and Vibration, vol.304, issue.3-5, pp.421-449, 2006.
DOI : 10.1016/j.jsv.2007.03.029

G. S. Chesshire and W. D. Henshaw, Composite overlapping meshes for the solution of partial differential equations, Journal of Computational Physics, vol.90, issue.1, pp.1-64, 1990.
DOI : 10.1016/0021-9991(90)90196-8

D. G. Crighton, A. P. Dowling, J. E. Williams, M. Heckl, and F. G. Leppington, Modern methods in analytical acoustics, 1992.
DOI : 10.1007/978-1-4471-0399-8

F. Daude, T. Emmert, P. Lafon, F. Crouzet, and C. Bailly, A High-Order Algorithm for Compressible LES in CAA Applications, 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference), pp.2008-3049, 2008.
DOI : 10.2514/6.2008-3049

J. W. Delfs, An overlapped grid technique for high resolution CAA schemes for complex geometries, 7th AIAA/CEAS Aeroacoustics Conference and Exhibit, 2001.
DOI : 10.2514/6.2001-2199

S. Dequand, X. Luo, J. F. Willems, and A. Hirschberg, Helmholtz-Like Resonator Self-Sustained Oscillations, Part 1: Acoustical Measurements and Analytical Models, AIAA Journal, vol.41, issue.3, pp.408-415, 2003.
DOI : 10.2514/2.1991

P. E. Doak, Fluctuating Total Enthalpy as the Basic Generalized Acoustic Field, Theoretical and Computational Fluid Dynamics, vol.10, issue.1-4, pp.677-685, 1995.
DOI : 10.1007/s001620050054

P. E. Doak, Fluctuating Total Enthalpy as the Basic Generalized Acoustic Field, Theoritical and Computational Fluid Dynamics, pp.115-133, 1998.
DOI : 10.1007/s001620050054

E. , D. Drazin, and W. H. Reid, A note on transmission of sound in a wide pipe with mean flow and viscothermal attenuation Hydrodynamic instability Development of a multidomain high-order algorithm for computational aeroacoustics : application to subsonic and transonic confined flows, Journal of Sound and Vibration, vol.20834, issue.4, pp.653-655, 1981.

S. Félix and V. Pagneux, Multimodal analysis of acoustic propagation in three-dimensional bends, Wave Motion, vol.36, issue.2, pp.157-168, 2002.
DOI : 10.1016/S0165-2125(02)00009-4

D. H. Fletcher, Air Flow and Sound Generation in Musical Wind Instruments, Annual Review of Fluid Mechanics, vol.11, issue.1, pp.123-146, 1979.
DOI : 10.1146/annurev.fl.11.010179.001011

S. Föller and W. Polifke, Determination of Acoustic Transfer Matrices via Large Eddy Simulation and System Identification, 16th AIAA/CEAS Aeroacoustics Conference, 2010.
DOI : 10.2514/6.2010-3998

G. D. Furnell and D. A. Bies, Matrix analysis of acoustic wave propagation within curved ducting systems, Journal of Sound and Vibration, vol.132, issue.2, pp.245-263, 1989.
DOI : 10.1016/0022-460X(89)90595-6

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

H. Goyder, On the Relationship Between Added Mass and Added Damping, 5th International Symposium on Fluid Structure International, Aeroeslasticity, and Flow Induced Vibration and Noise, pp.2002-32544, 2002.
DOI : 10.1115/IMECE2002-32544

P. Guyon, J. P. Hulin, and L. Petit, Hydrodynamique physique, CNRS Editions, EDP Sciences, 2001.

C. Hirsch, Numerical computation of internal and external flows, 1988.

A. Hirschberg, J. C. Bruggeman, A. P. Wijnands, and N. Smits, The whistler nozzle and horn as aero-acoustic sound sources in pipe systems, Acustica, vol.68, pp.157-160, 1989.

A. Hirschberg and C. Schram, Sound-Flow Interactions A primitive Approach to Aeroacoustics, Lecture Notes in Physics, vol.586, 2002.

G. Hofmans, R. Boot, P. Durrieu, Y. Aurégan, and A. Hirschberg, AEROACOUSTIC RESPONSE OF A SLIT-SHAPED DIAPHRAGM IN A PIPE AT LOW HELMHOLTZ NUMBER, 1: QUASI-STEADY RESULTS, Journal of Sound and Vibration, vol.244, issue.1, pp.35-56, 2001.
DOI : 10.1006/jsvi.2000.3457

G. C. Hofmans, Vortex sound in confined flows, 1998.

K. Hourigan, M. C. Welsh, M. C. Thompson, and A. N. Stokes, Aerodynamic sources of acoustic resonance in a duct with baffles, Journal of Fluids and Structures, vol.4, issue.4, pp.345-370, 1990.
DOI : 10.1016/0889-9746(90)90130-W

M. S. Howe, Contributions to the theory of aerodynamic sound, with application to excess jet noise and the theory of the flute, Journal of Fluid Mechanics, vol.43, issue.04, pp.625-673, 1975.
DOI : 10.1063/1.1762327

M. S. Howe, The dissipation of sound at an edge, Journal of Sound and Vibration, vol.70, issue.3, pp.407-411, 1980.
DOI : 10.1016/0022-460X(80)90308-9

M. S. Howe, On the Absorption of Sound by Turbulence and Other Hydrodynamic Flows, IMA Journal of Applied Mathematics, vol.32, issue.1-3, pp.187-209, 1984.
DOI : 10.1093/imamat/32.1-3.187

M. S. Howe, Acoustic of fluid-structure interaction, 1998.

M. S. Howe, Hydrodynamics and Sound, 1998.
DOI : 10.1017/CBO9780511754616

V. P. Janzen and B. Smith, Acoustic properties of high-energy orifice assemblies, 2004.

W. P. Jones and B. E. Launder, The prediction of laminarization with a two-equation model of turbulence, International Journal of Heat and Mass Transfer, vol.15, issue.2, pp.301-314, 1972.
DOI : 10.1016/0017-9310(72)90076-2

W. P. Jones and B. E. Launder, The calculation of low-Reynolds-number phenomena with a two-equation model of turbulence, International Journal of Heat and Mass Transfer, vol.16, issue.6, pp.1119-1130, 1973.
DOI : 10.1016/0017-9310(73)90125-7

A. Kierkegaard, S. Boij, and G. Efraimsson, A frequency domain linearized Navier???Stokes equations approach to acoustic propagation in flow ducts with sharp edges, The Journal of the Acoustical Society of America, vol.127, issue.2, pp.710-719, 2010.
DOI : 10.1121/1.3273899

A. Kierkegaard and G. Efraimsson, Simulations of the Whistling Potentiality of an In-Duct Orifice with Linear Aeroacoustics, 16th AIAA/CEAS Aeroacoustics Conference, 2010.
DOI : 10.2514/6.2010-4008

G. Kooijman, Acoustical response of shear layer, 2007.

G. Kooijman, A. Hirschberg, and Y. Aurégan, Influence of mean flow profile and geometrical ratios on scattering of sound at a sudden area expansion in a duct, Journal of Sound and Vibration, vol.329, issue.5, pp.607-626, 2010.
DOI : 10.1016/j.jsv.2009.09.021

G. Kooijman, P. Testud, Y. Aurégan, and A. Hirschberg, Multimodal method for scattering of sound at a sudden area expansion in a duct with subsonic flow, Journal of Sound and Vibration, vol.310, issue.4-5, pp.902-922, 2008.
DOI : 10.1016/j.jsv.2007.08.008

J. Kopitz, E. Bröcker, and W. Polifke, CFD-based application of the Nyquist criterion to thermo-acoustic instabilities, 12th International Congress of Sound and Vibration, pp.6754-6778, 2005.
DOI : 10.1016/j.jcp.2008.03.022

P. Lafon, S. Caillaud, J. P. Devos, and C. Lambert, Aeroacoustical coupling in a ducted shallow cavity and fluid/structure effects on a steam line, Journal of Fluids and Structures, vol.18, issue.6, pp.695-713, 2003.
DOI : 10.1016/j.jfluidstructs.2003.08.018

B. E. Launder and D. B. Spalding, The numerical computation of turbulent flows, Computer Methods in Applied Mechanics and Engineering, vol.3, issue.2, pp.269-289, 1974.
DOI : 10.1016/0045-7825(74)90029-2

M. Lesieur, O. Métais, and P. Comte, Large eddy-simulation of turbulence, 2005.

L. Ljung, System identification -Theory for the User, N.J, 1999.

E. Longatte, Modélisation de la propagation et de la génération du bruit au sein desécoulementsdesécoulements turbulents internes, 1998.

P. Martinez-lera, B. Karthik, C. Schram, S. Föller, R. Kaess et al., Low-Order Modeling of a Side Branch at Low Mach Numbers, 15th AIAA/CEAS Aeroacoustics Conference (30th AIAA Aeroacoustics Conference), pp.2009-3263, 2009.
DOI : 10.2514/6.2009-3263

P. Martinez-lera, C. Schram, S. Föller, R. Kaess, and W. Polifke, Identification of the aeroacoustic response of a low Mach number flow through a T-joint, The Journal of the Acoustical Society of America, vol.126, issue.2, pp.582-586, 2009.
DOI : 10.1121/1.3159604

T. D. Mast and A. D. Pierce, Describing???function theory for flow excitation of resonators, The Journal of the Acoustical Society of America, vol.97, issue.1, pp.163-172, 1995.
DOI : 10.1121/1.412301

F. R. Menter, Two-equation eddy-viscosity turbulence models for engineering applications, AIAA Journal, vol.32, issue.8, pp.1598-1605, 1994.
DOI : 10.2514/3.12149

M. Mettenleiter, E. Haile, and S. Candel, ADAPTIVE CONTROL OF AEROACOUSTIC INSTABILITIES, Journal of Sound and Vibration, vol.230, issue.4, pp.761-789, 2000.
DOI : 10.1006/jsvi.1999.2659

C. L. Morfey, Sound transmission and generation in ducts with flow, Journal of Sound and Vibration, vol.14, issue.1, pp.37-55, 1971.
DOI : 10.1016/0022-460X(71)90506-2

P. Moussou, S. Caillaud, V. Villouvier, A. Archer, A. Boyer et al., Vortexshedding of a multi-hole orifice synchronized to an acoustic cavity in a pwr piping system, ASME PVP Conference, number PVP2003-2086 in PVP- Flow-Induced Vibration, pp.161-168, 2003.

P. Moussou, R. J. Gibert, G. Brasseur, C. Teygeman, J. Ferrari et al., Instability of Pressure Relief Valves in Water Pipes, Journal of Pressure Vessel Technology, vol.132, issue.4, p.41308, 2010.
DOI : 10.1115/1.4002164
URL : https://hal.archives-ouvertes.fr/hal-00469816

P. Moussou, P. Testud, Y. Aurégan, and A. Hirschberg, An Acoustic Criterion for the Whistling of Orifices in Pipes, Volume 4: Fluid-Structure Interaction, pp.22-26, 2007.
DOI : 10.1115/PVP2007-26157
URL : https://hal.archives-ouvertes.fr/hal-00179841

G. Nakibo?-glu, S. P. Belfroid, J. Golliard, and A. Hirschberg, On the whistling corrugated pipes : effect of pipe length and flow profile, Journal of Fluid Mechanics, 2011.

G. Nakibo?-glu, S. P. Belfroid, J. F. Willems, and A. Hirschberg, Whistling behavior of periodic systems : Corrugated pipes and multiple side branch system, International Journal of Mechanical Sciences, 2010.

P. A. Nelson, N. A. Halliwell, and P. E. Doak, Fluid dynamics of a flow excited resonance, part I: Experiment, Journal of Sound and Vibration, vol.78, issue.1, pp.15-38, 1981.
DOI : 10.1016/S0022-460X(81)80156-3

H. Nomoto and F. E. Culick, An experimental investigation of pure tone generation by vortex shedding in a duct, Journal of Sound and Vibration, vol.84, issue.2, pp.247-252, 1982.
DOI : 10.1016/S0022-460X(82)80007-2

V. Pagneux, Propagation acoustique dans les guidesàguides`guidesà section variable et effets d'´ ecoulement, 1997.

M. C. Peters, A. Hirschberg, A. J. Reijnen, and A. P. Wijnands, Damping and reflection coefficient measurements for an open pipe at low Mach and low Helmholtz numbers, Journal of Fluid Mechanics, vol.73, issue.-1, pp.499-534, 1993.
DOI : 10.1103/PhysRev.73.383

A. D. Pierce, Acoustics : An Introduction to Its Physical Principles and Applications, 1981.

W. Polifke, Numerical techniques for identification of acoustic multi-ports, in : Advances in aeroacoustics and applications, 2004.

A. Powell, Theory of Vortex Sound, The Journal of the Acoustical Society of America, vol.36, issue.1, 1964.
DOI : 10.1121/1.1918931

D. C. Pridmore-brown, Sound propagation in a fluid flowing through an attenuating duct, Journal of Fluid Mechanics, vol.none, issue.04, pp.393-406, 1958.
DOI : 10.1103/PhysRev.51.669

M. ?. Abom, Measurement of the scattering-matrix of acoustical two-port [103] M. ? Abom. A note on the experimental determination of acoustical two-port matrices, Mechanical System and Signal Processing, pp.89-104185, 1991.

M. ?. Abom, S. Allam, and S. Boij, Aero-Acoustics of Flow Duct Singularities at Low Mach Numbers, 12th AIAA/CEAS Aeroacoustics Conference (27th AIAA Aeroacoustics Conference), pp.1-10, 2006.
DOI : 10.2514/6.2006-2687

S. W. Rienstra and A. Hirschberg, An Introduction to Acoustics, 2006.

D. Rockwell, Oscillations of impinging shear layers, AIAA Journal, vol.21, issue.5, pp.645-664, 1983.
DOI : 10.2514/3.8130

D. Rockwell, J. C. Lin, P. Oshkai, M. Reiss, and M. Pollack, Shallow cavity flow tone experiments: onset of locked-on states, Journal of Fluids and Structures, vol.17, issue.3, pp.381-414, 2003.
DOI : 10.1016/S0889-9746(02)00141-X

D. Rockwell and E. Naudascher, Self-Sustained Oscillations of Impinging Free Shear Layers, Annual Review of Fluid Mechanics, vol.11, issue.1, pp.67-94, 1979.
DOI : 10.1146/annurev.fl.11.010179.000435

D. Ronneberger, Experimentelle untersuchungen zum akustischen reflexions-factor von unstetigen querschnittsänderungen in einem luftdurchströmten rohr, Acustica, vol.19, pp.222-235, 1967.

D. Ronneberger, Theoretische und experimentelle untersuchung der schallausbreitung durch querschnittssprünge and lochplattent in strömungskanälen, Abschlußbericht Ro, vol.36911, issue.12 14, 1980.

P. Sagaut, Large-eddy simulation for incompressible flows, 2001.

T. Sarpkaya, A critical review of the intrinsic nature of vortex-induced vibrations, Journal of Fluids and Structures, vol.19, issue.4, pp.389-447, 2004.
DOI : 10.1016/j.jfluidstructs.2004.02.005

T. Sattelmayer and W. Polifke, A novel method for the computation of the linear stability of combustors, Combustion Science and Technology, vol.175, issue.3, pp.477-497, 2003.
DOI : 10.1080/00102200302387

T. Schönfeld and M. Rudgyard, Steady and unsteady flow simulations using the hybrid flow solver AVBP, AIAA Journal, vol.37, issue.11, pp.1378-1385, 1999.
DOI : 10.2514/3.14333

R. Starobinsky and Y. Aurégan, FLUCTUATIONS OF VORTICITY AND ENTROPY AS SOURCES OF ACOUSTICAL EXERGY, Journal of Sound and Vibration, vol.216, issue.3, pp.521-527, 1998.
DOI : 10.1006/jsvi.1998.1723

S. Stolz and N. Adams, An approximate deconvolution procedure for large-eddy simulation, Physics of Fluids, vol.11, issue.7, pp.1699-1701, 1999.
DOI : 10.1063/1.869867

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

P. Testud, Aeroacoustics of orifices in confined flow : whistling and cavitation, 2006.

P. Testud, P. Moussou, A. Hirschberg, and Y. Aurégan, Noise generated by cavitating single-hole and multi-hole orifices in a water pipe, Journal of Fluids and Structures, vol.23, issue.2, pp.163-189, 2007.
DOI : 10.1016/j.jfluidstructs.2006.08.010
URL : https://hal.archives-ouvertes.fr/hal-00089143

D. Tonon, B. J. Landry, S. P. Belfroid, J. F. Willems, G. Hofmans et al., Whistling of a pipe system with multiple side branches: Comparison with corrugated pipes, Journal of Sound and Vibration, vol.329, issue.8, pp.1007-1024, 2010.
DOI : 10.1016/j.jsv.2009.10.020

M. C. Welsh and G. D. Gibson, Interaction of induced sound with flow past a square leading edged plate in a duct, Journal of Sound and Vibration, vol.67, issue.4, pp.501-511, 1979.
DOI : 10.1016/0022-460X(79)90441-3

G. S. Wong, Speed of sound in standard air, The Journal of the Acoustical Society of America, vol.79, issue.5, pp.1359-1366, 1985.
DOI : 10.1121/1.393664

M. V. Zagarola and A. J. Smits, Mean-flow scaling of turbulent pipe flow, Journal of Fluid Mechanics, vol.373, pp.33-79, 1998.
DOI : 10.1017/S0022112098002419

S. Ziada, Flow-Excited Acoustic Resonance in Industry, Journal of Pressure Vessel Technology, vol.132, issue.1, 2008.
DOI : 10.1115/1.4000379
URL : https://hal.archives-ouvertes.fr/hal-00566072

S. Ziada and E. T. Buhlmann, Self-excited resonances of two side-branches in close proximity, Journal of Fluids and Structures, vol.6, issue.5, pp.583-601, 1992.
DOI : 10.1016/0889-9746(92)90020-4

S. Ziada, H. Ng, and C. E. Blake, Flow excited resonance of a confined shallow cavity in low Mach number flow and its control, Journal of Fluids and Structures, vol.18, issue.1, pp.79-92, 2003.
DOI : 10.1016/S0889-9746(03)00083-5