Steady solutions of the Navier-Stokes equations by selective frequency damping, Physics of Fluids, vol.18, issue.6, p.18068102, 2006. ,
DOI : 10.1063/1.2211705
Global two-dimensional stability measures of the flat plate boundary-layer flow, European Journal of Mechanics - B/Fluids, vol.27, issue.5, pp.501-513, 2008. ,
DOI : 10.1016/j.euromechflu.2007.09.004
URL : https://hal.archives-ouvertes.fr/hal-00211809
Multifrontal parallel distributed symmetric and unsymmetric solvers, Computer Methods in Applied Mechanics and Engineering, vol.184, issue.2-4, pp.2-4501, 2000. ,
DOI : 10.1016/S0045-7825(99)00242-X
URL : https://hal.archives-ouvertes.fr/hal-00856651
PETSc users manual, 2008. ,
Closed-loop control of an open cavity flow using reduced-order models, Journal of Fluid Mechanics, vol.44, pp.1-50, 2009. ,
DOI : 10.1007/s00348-006-0188-8
URL : https://hal.archives-ouvertes.fr/hal-01021129
High-order, low dispersive and low dissipative explicit schemes for multiple-scale and boundary problems, Journal of Computational Physics, vol.224, issue.2, pp.637-662, 2007. ,
DOI : 10.1016/j.jcp.2006.10.017
Three-dimensional non-reflective boundary conditions for acoustic simulations: far field formulation and validation test cases, Acta Acust, vol.88, pp.463-471, 2002. ,
UMFPACK version 5.5.0 user guide, 2009. ,
Krylov Methods for the Incompressible Navier-Stokes Equations, Journal of Computational Physics, vol.110, issue.1, pp.82-102, 1994. ,
DOI : 10.1006/jcph.1994.1007
A survey of software for sparse eigenvalue problems, 2006. ,
Local and Global Instabilities in Spatially Developing Flows, Annual Review of Fluid Mechanics, vol.22, issue.1, pp.473-537, 1990. ,
DOI : 10.1146/annurev.fl.22.010190.002353
Jacobian-free Newton???Krylov methods: a survey of approaches and applications, Journal of Computational Physics, vol.193, issue.2, pp.357-397, 2004. ,
DOI : 10.1016/j.jcp.2003.08.010
Large-scale eigenvalue calculations for stability analysis of steady flows on massively parallel computers, International Journal for Numerical Methods in Fluids, vol.218, issue.3, pp.309-327, 1999. ,
DOI : 10.1002/fld.135
ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods, SIAM, 1998. ,
DOI : 10.1137/1.9780898719628
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
A preconditioned Krylov technique for global hydrodynamic stability analysis of large-scale compressible flows, Journal of Computational Physics, vol.229, issue.3, pp.541-560, 2010. ,
DOI : 10.1016/j.jcp.2009.09.019
URL : https://hal.archives-ouvertes.fr/hal-00998008
Global stability of swept flow around a parabolic body: connecting attachment-line and crossflow modes, Journal of Fluid Mechanics, vol.30, pp.205-214, 2008. ,
DOI : 10.1146/annurev.fluid.29.1.245
URL : https://hal.archives-ouvertes.fr/hal-01022801
Global modes and transient response of a cold supersonic jet, Journal of Fluid Mechanics, vol.669, pp.225-241, 2011. ,
DOI : 10.1017/S0022112008003662
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
Fast eigenvalue calculations in a massively parallel plasma turbulence code, Parallel Matrix Algorithms and Applications, pp.339-358, 2010. ,
DOI : 10.1016/j.parco.2009.12.001
SLEPc users manual, 2010. ,
Iterative methods for sparse linear systems, 2003. ,
DOI : 10.1137/1.9780898718003
Governing equations for a new compressible Navier-Stokes solver in general cylindrical coordinates, 2007. ,
Stability and Transition in Shear Flows Paper: A relaxation method for large eigenvalue problems Sensitivity analysis and passive control of cylinder flow, Journal of Fluid Mechanics, vol.615, issue.2, pp.221-252, 2001. ,
Optimal growth, model reduction and control in a separated boundary-layer flow using global eigenmodes, Journal of Fluid Mechanics, vol.579, p.305, 2007. ,
DOI : 10.1017/S0022112007005496
URL : https://hal.archives-ouvertes.fr/hal-00211799
Input???output measures for model reduction and closed-loop control: application to global modes, Journal of Fluid Mechanics, vol.45, pp.23-53, 2011. ,
DOI : 10.1017/S0022112098001281
URL : https://hal.archives-ouvertes.fr/hal-00997981
Local and Global Instabilities in Spatially Developing Flows, Annual Review of Fluid Mechanics, vol.22, issue.1, pp.473-537, 1990. ,
DOI : 10.1146/annurev.fl.22.010190.002353
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
Nonlinear global modes in hot jets, Journal of Fluid Mechanics, vol.554, issue.-1, pp.393-409, 2006. ,
DOI : 10.1017/S0022112006008974
URL : https://hal.archives-ouvertes.fr/hal-01023363
Global modes and aerodynamic sound radiation in self-excited hot jets, 2007. ,
Orderly structure in jet turbulence, Journal of Fluid Mechanics, vol.89, issue.03, p.547, 1971. ,
DOI : 10.1088/0959-5309/47/4/314
On using large-eddy simulation for the prediction of noise from cold and heated turbulent jets, Physics of Fluids, vol.17, issue.8, p.85103, 2005. ,
DOI : 10.1063/1.2001689
Global modes and superdirective acoustic radiation in low-speed axisymmetric jets, European Journal of Mechanics -B/Fluids, vol.19, pp.559-574, 2000. ,
The role of shear-layer instability waves in jet exhaust noise, Journal of Fluid Mechanics, vol.17, issue.02, p.321, 1977. ,
DOI : 10.1063/1.1694612
Non-normal global modes of high-speed jets, International Journal of Spray and Combustion Dynamics, vol.78, issue.2, pp.285-302, 2011. ,
DOI : 10.1260/1756-8277.3.4.285
Global mode analysis of turbulent high-speed jets, Annual Research Briefs, 2010. ,
Three-dimensional instability in flow over a backward-facing step, Journal of Fluid Mechanics, vol.473, 2002. ,
DOI : 10.1017/S002211200200232X
Linear stability of plane wakes and liquid jets: global and local approach, KTH, 2009. ,
Effect of surface tension on global modes of confined wake flows, Physics of Fluids, vol.23, issue.1, p.14108, 2011. ,
DOI : 10.1063/1.3540686
On two-dimensional temporal modes in spatially evolving open flows: the flat-plate boundary layer, Journal of Fluid Mechanics, vol.536, pp.209-218, 2005. ,
DOI : 10.1017/S0022112005005112
Global linear stability of the non-parallel Batchelor vortex, Journal of Fluid Mechanics, vol.629, p.139, 2009. ,
DOI : 10.1006/jcph.2002.7187
URL : https://hal.archives-ouvertes.fr/hal-01021155
Hydrodynamic Stability Without Eigenvalues, Hydrodynamic stability without eigenvalues, pp.578-584, 1993. ,
DOI : 10.1126/science.261.5121.578
Nonmodal Stability Theory, Annual Review of Fluid Mechanics, vol.39, issue.1, pp.129-162, 2007. ,
DOI : 10.1146/annurev.fluid.38.050304.092139
URL : https://hal.archives-ouvertes.fr/hal-01023333
Global two-dimensional stability measures of the flat plate boundary-layer flow, European Journal of Mechanics - B/Fluids, vol.27, issue.5, pp.501-513, 2008. ,
DOI : 10.1016/j.euromechflu.2007.09.004
URL : https://hal.archives-ouvertes.fr/hal-00211809
An Adjoint Method for Obtaining the Most Rapidly Growing Perturbation to Oceanic Flows, Journal of Physical Oceanography, vol.22, issue.4, pp.338-349, 1992. ,
DOI : 10.1175/1520-0485(1992)022<0338:AAMFOT>2.0.CO;2
Three???dimensional optimal perturbations in viscous shear flow, Physics of Fluids A: Fluid Dynamics, vol.4, issue.8, p.1637, 1992. ,
DOI : 10.1063/1.858386
Pseudospectra of the Convection-Diffusion Operator, SIAM Journal on Applied Mathematics, vol.54, issue.6, p.1634, 1994. ,
DOI : 10.1137/S0036139993246982
Global Measures of Local Convective Instabilities, Physical Review Letters, vol.78, issue.23, pp.4387-4390, 1997. ,
DOI : 10.1103/PhysRevLett.78.4387
Absolute and convective instabilities in free shear layers, Journal of Fluid Mechanics, vol.19, issue.-1, pp.151-168, 1985. ,
DOI : 10.1017/S0022112064000908
Energy growth in viscous channel flows, Journal of Fluid Mechanics, vol.26, issue.-1, pp.209-238, 1993. ,
DOI : 10.1017/S0022112069001959
Introduction to Finite Element Methods in Computational Fluid Dynamics, Computational fluid dynamics: an introduction, 2009. ,
DOI : 10.1007/978-3-540-85056-4_10
A Spectral Method for Polar Coordinates, Journal of Computational Physics, vol.120, issue.2, pp.365-374, 1995. ,
DOI : 10.1006/jcph.1995.1171
Three-dimensional non-reflective boundary conditions for acoustic simulations: far field formulation and validation test cases, Acta Acustica, vol.88, pp.463-471, 2002. ,
Absolute instability in hot jets, AIAA Journal, vol.26, issue.8, pp.911-916, 1988. ,
DOI : 10.2514/3.9990
Global linear stability of a model subsonic jet, 6th AIAA Theoretical Fluid Mechanics Conference, pp.2011-3608, 2011. ,
DOI : 10.2514/6.2011-3608
URL : https://hal.archives-ouvertes.fr/hal-00716674
The mechanics of an organized wave in turbulent shear flow. part 3. theoretical models and comparisons with experiments, Journal of Fluid Mechanics, vol.54, p.263, 1972. ,
Development of a nonlinear eddy-viscosity closure for the triple-decomposition stability analysis of a turbulent channel, Journal of Fluid Mechanics, vol.3, pp.74-107, 2010. ,
DOI : 10.1063/1.1597453
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
Stability of slowly diverging jet flow, Journal of Fluid Mechanics, vol.49, issue.02, p.397, 1976. ,
DOI : 10.1016/0022-460X(72)90790-0
Instability wave models for the near-field fluctuations of turbulent jets, Journal of Fluid Mechanics, vol.446, pp.97-128, 2011. ,
DOI : 10.1016/j.proeng.2010.09.008
Freefem++ manual, third edition, version 3.16-1, Tech. Rep, 2011. ,
Multifrontal parallel distributed symmetric and unsymmetric solvers, Computer Methods in Applied Mechanics and Engineering, vol.184, issue.2-4, pp.501-520, 2000. ,
DOI : 10.1016/S0045-7825(99)00242-X
URL : https://hal.archives-ouvertes.fr/hal-00856651
PETSc users manual, 2008. ,
SLEPc, ACM Transactions on Mathematical Software, vol.31, issue.3, p.351362, 2005. ,
DOI : 10.1145/1089014.1089019
Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods (SIAM, 1998. ,
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
A preconditioned Krylov technique for global hydrodynamic stability analysis of large-scale compressible flows, Journal of Computational Physics, vol.229, issue.3, pp.541-560, 2010. ,
DOI : 10.1016/j.jcp.2009.09.019
URL : https://hal.archives-ouvertes.fr/hal-00998008
Modes, transient dynamics and forced response of circular jets, Ecole Polytechnique, 2012. ,
URL : https://hal.archives-ouvertes.fr/tel-00740133
Efficient evaluation of the direct and adjoint linearized dynamics from compressible flow solvers, Journal of Computational Physics, vol.231, issue.23, 2012. ,
DOI : 10.1016/j.jcp.2012.06.038
URL : https://hal.archives-ouvertes.fr/hal-00996506
Transient growth in compressible boundary layer flow, Physics of Fluids, vol.8, issue.3, pp.826-837, 1996. ,
DOI : 10.1063/1.868864
Survey on jet instability theory, Progress in Aerospace Sciences, vol.21, pp.159-199, 1984. ,
DOI : 10.1016/0376-0421(84)90005-8
A note on an algebraic instability of inviscid parallel shear flows, Journal of Fluid Mechanics, vol.9, issue.02, p.243, 1980. ,
DOI : 10.1063/1.861156
The instability of a vortex sheet on a subsonic stream under acoustic radiation, Mathematical Proceedings of the Cambridge Philosophical Society, vol.10, issue.03, p.465, 1972. ,
DOI : 10.1002/cpa.3160190403
Radiation properties of the semi-infinite vortex sheet: the initial-value problem, Journal of Fluid Mechanics, vol.335, issue.02, p.393, 1974. ,
DOI : 10.1017/S0022112071001745
Receptivity of the compressible mixing layer, Journal of Fluid Mechanics, vol.540, issue.-1, pp.301-335, 2005. ,
DOI : 10.1017/S0022112005005884
Aerodynamic sound generation by global modes in hot jets, Journal of Fluid Mechanics, vol.201, pp.473-489, 2010. ,
DOI : 10.1260/1475472054771376
URL : https://hal.archives-ouvertes.fr/hal-00998009
Stability and Transition in Shear Flows, 2001. ,
DOI : 10.1007/978-1-4613-0185-1
A simple boundary condition for unbounded hyperbolic flows, Journal of Computational Physics, vol.21, issue.3, pp.251-269, 1976. ,
DOI : 10.1016/0021-9991(76)90023-1
Theory and computation of hydrodynamic stability, 2003. ,
DOI : 10.1017/CBO9780511550317
Sensitivity and optimal forcing response in separated boundary layer flows, Physics of Fluids, vol.21, issue.6, p.64108, 2009. ,
DOI : 10.1063/1.3153908
URL : https://hal.archives-ouvertes.fr/hal-00799747
Optimal disturbances and bypass transition in boundary layers, Physics of Fluids, vol.11, issue.1, p.134, 1999. ,
DOI : 10.1063/1.869908
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
An introduction to fluid dynamics, 1967. ,
DOI : 10.1017/CBO9780511800955
Analysis of the stability of axisymmetric jets, Journal of Fluid Mechanics, vol.21, issue.04, p.529, 1962. ,
DOI : 10.1017/S0022112062001421
Global modes and superdirective acoustic radiation in low-speed axisymmetric jets, European Journal of Mechanics - B/Fluids, vol.19, issue.5, pp.559-574, 2000. ,
DOI : 10.1016/S0997-7546(00)90101-8
Stability of slowly diverging jet flow, Journal of Fluid Mechanics, vol.49, issue.02, p.397, 1976. ,
DOI : 10.1016/0022-460X(72)90790-0
Orderly structure in jet turbulence, Orderly structure in jet turbulence, p.547, 1971. ,
DOI : 10.1088/0959-5309/47/4/314
Introduction to Finite Element Methods in Computational Fluid Dynamics, Computational fluid dynamics: an introduction, 2009. ,
DOI : 10.1007/978-3-540-85056-4_10
2012 Modes, transient dynamics and forced response of circular jets ,
Instability wave models for the near-field fluctuations of turbulent jets, Journal of Fluid Mechanics, vol.446, pp.97-128, 2011. ,
DOI : 10.1016/j.proeng.2010.09.008
Freefem++ manual, third edition, version 3.16-1. Tech. Rep, 2011. ,
SLEPc, ACM Transactions on Mathematical Software, vol.31, issue.3, p.351362, 2005. ,
DOI : 10.1145/1089014.1089019
Local and Global Instabilities in Spatially Developing Flows, Annual Review of Fluid Mechanics, vol.22, issue.1, pp.473-537 ,
DOI : 10.1146/annurev.fl.22.010190.002353
Absolute and convective instability of axisymmetric jets with external flow, Physics of Fluids, vol.6, issue.9, p.3000, 1994. ,
DOI : 10.1063/1.868126
Global modes and aerodynamic sound radiation in self-excited hot jets, 2007. ,
Global sustained perturbations in a backward-facing step flow, Seventh IUTAM Symposium on Laminar-Turbulent Transition, 2010. ,
DOI : 10.1007/978-90-481-3723-7_91
A Spectral Method for Polar Coordinates, Journal of Computational Physics, vol.120, issue.2, pp.365-374 ,
DOI : 10.1006/jcph.1995.1171
Survey on jet instability theory, Progress in Aerospace Sciences, vol.21, pp.159-199, 1984. ,
DOI : 10.1016/0376-0421(84)90005-8
1989 Feedback control of global oscillations in fluid systems, AIAA Paper, pp.89-0991 ,
Absolute instability in hot jets, AIAA Journal, vol.26, issue.8, pp.911-916, 1988. ,
DOI : 10.2514/3.9990
Global three-dimensional optimal disturbances in the Blasius boundary-layer flow using time-steppers, Journal of Fluid Mechanics, vol.608, p.181, 2010. ,
DOI : 10.1126/science.261.5121.578
The role of shear-layer instability waves in jet exhaust noise, Journal of Fluid Mechanics, vol.17, issue.02, p.321, 1977. ,
DOI : 10.1063/1.1694612
Global mode analysis of turbulent high-speed jets, 2010. ,
Global modes and transient response of a cold supersonic jet, Journal of Fluid Mechanics, vol.669, pp.225-241 ,
DOI : 10.1017/S0022112008003662
Non-normal global modes of high-speed jets, International Journal of Spray and Combustion Dynamics, vol.78, issue.2, pp.285-302, 2011. ,
DOI : 10.1260/1756-8277.3.4.285
On the frequency selection of finite-amplitude vortex shedding in the cylinder wake, Journal of Fluid Mechanics, vol.458, 2002. ,
DOI : 10.1017/S0022112002008054
URL : https://hal.archives-ouvertes.fr/hal-00120025
On the growth and propagation of linear instability waves in compressible turbulent jets, Physics of Fluids, vol.21, issue.5, p.54106, 2009. ,
DOI : 10.1063/1.3139302
Parabolized stability equation models for predicting large-scale mixing noise of turbulent round jets, 17th AIAA/CEAS Aeroacoustics Conference (32nd AIAA Aeroacoustics Conference), 2011. ,
DOI : 10.2514/6.2011-2838
2012 Characterization of noise amplifiers with global singular modes: the case of the leading-edge flat-plate boundary layer, Theoretical and Computational Fluid Dynamics ,
Hydrodynamic Stability Without Eigenvalues, Hydrodynamic stability without eigenvalues, pp.578-584, 1993. ,
DOI : 10.1126/science.261.5121.578
Global two-dimensional stability measures of the flat plate boundary-layer flow, European Journal of Mechanics - B/Fluids, vol.27, issue.5, pp.501-513, 2008. ,
DOI : 10.1016/j.euromechflu.2007.09.004
URL : https://hal.archives-ouvertes.fr/hal-00211809
Multifrontal parallel distributed symmetric and unsymmetric solvers, Computer Methods in Applied Mechanics and Engineering, vol.184, issue.2-4, pp.2-4501, 2000. ,
DOI : 10.1016/S0045-7825(99)00242-X
URL : https://hal.archives-ouvertes.fr/hal-00856651
Progress in Direct Noise Computation, International Journal of Aeroacoustics, vol.627, issue.9, pp.123-144, 2010. ,
DOI : 10.1260/1475-472X.9.1-2.123
URL : https://hal.archives-ouvertes.fr/hal-00566027
PETSc users manual, 2008. ,
Closed-loop control of an open cavity flow using reduced-order models, Journal of Fluid Mechanics, vol.44, pp.1-50, 2009. ,
DOI : 10.1007/s00348-006-0188-8
URL : https://hal.archives-ouvertes.fr/hal-01021129
Three-dimensional instability in flow over a backward-facing step, Journal of Fluid Mechanics, vol.473, p.473, 2002. ,
DOI : 10.1017/S002211200200232X
High-order, low dispersive and low dissipative explicit schemes for multiple-scale and boundary problems, Journal of Computational Physics, vol.224, issue.2, pp.637-662, 2007. ,
DOI : 10.1016/j.jcp.2006.10.017
Three-dimensional non-reflective boundary conditions for acoustic simulations: far field formulation and validation test cases, Acta Acustica, vol.88, pp.463-471, 2002. ,
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
Computation of a high reynolds number jet and its radiated noise using large eddy simulation based on explicit filtering. Computers and Fluids, pp.1344-1358, 2006. ,
Influence of nozzle-exit boundary-layer conditions on the flow and acoustic fields of initially laminar jets, Journal of Fluid Mechanics, vol.287, pp.507-538, 2010. ,
DOI : 10.2514/3.49917
URL : https://hal.archives-ouvertes.fr/hal-00566006
Experimental Study of the Spectral Properties of Near-Field and Far-Field Jet Noise, International Journal of Aeroacoustics, vol.516, issue.2, pp.73-92, 2007. ,
DOI : 10.1260/147547207781041868
URL : https://hal.archives-ouvertes.fr/hal-00272250
Large-eddy simulation of the flow and acoustic fields of a Reynolds number 105 subsonic jet with tripped exit boundary layers, Physics of Fluids, vol.23, issue.3, p.35104, 2011. ,
DOI : 10.1063/1.3555634
On the energy transfer to small disturbances in fluid flow (Part I), Acta Mechanica, vol.201, issue.No. 10, pp.215-234, 1965. ,
DOI : 10.1007/BF01387235
Global Measures of Local Convective Instabilities, Physical Review Letters, vol.78, issue.23, pp.4387-4390, 1997. ,
DOI : 10.1103/PhysRevLett.78.4387
Jet noise and the effects of jet forcing The Role of Coherent Structures in Modelling Turbulence and Mixing, pp.340-362, 1981. ,
Stability of slowly diverging jet flow, Journal of Fluid Mechanics, vol.49, issue.02, p.397, 1976. ,
DOI : 10.1016/0022-460X(72)90790-0
Shear-layer pressure fluctuations and superdirective acoustic sources, Journal of Fluid Mechanics, vol.23, issue.-1, pp.355-368, 1990. ,
DOI : 10.1017/S0022112083003195
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
Orderly structure in jet turbulence, Journal of Fluid Mechanics, vol.89, issue.03, p.547, 1971. ,
DOI : 10.1088/0959-5309/47/4/314
UMFPACK version 5.5.0 user guide, 2009. ,
Efficient evaluation of the direct and adjoint linearized dynamics from compressible flow solvers, Journal of Computational Physics, vol.231, issue.23, 2012. ,
DOI : 10.1016/j.jcp.2012.06.038
On two-dimensional temporal modes in spatially evolving open flows: the flat-plate boundary layer, Journal of Fluid Mechanics, vol.536, pp.209-218, 2005. ,
DOI : 10.1017/S0022112005005112
Stochastic forcing of the linearized Navier- Stokes equations. Physics of Fluids A: Fluid Dynamics, p.2600, 1993. ,
Noise sources in a low-Reynolds-number turbulent jet at Mach 0.9, Journal of Fluid Mechanics, vol.438, pp.277-305, 2001. ,
DOI : 10.1017/S0022112001004414
NavierStokes analysis methods for turbulent jet flows with application to aircraft exhaust nozzles, Progress in Aerospace Sciences, pp.5-6377, 2006. ,
Transient effects in the signaling problem, Physics of Fluids, vol.14, issue.12, p.4329, 2002. ,
DOI : 10.1063/1.1514654
Parabolized Stability Equation Models for Turbulent Jets and Their Radiated Sound, 15th AIAA/CEAS Aeroacoustics Conference (30th AIAA Aeroacoustics Conference), 2009. ,
DOI : 10.2514/6.2009-3380
Instability wave models for the near-field fluctuations of turbulent jets, Journal of Fluid Mechanics, vol.446, pp.97-128, 2011. ,
DOI : 10.1016/j.proeng.2010.09.008
Entropy viscosity method for nonlinear conservation laws, Journal of Computational Physics, vol.230, issue.11, pp.4248-4267, 2011. ,
DOI : 10.1016/j.jcp.2010.11.043
Preferred modes and the spreading rates of jets, Physics of Fluids, vol.26, issue.10, p.2932, 1983. ,
DOI : 10.1063/1.864058
Transient growth in compressible boundary layer flow, Physics of Fluids, vol.8, issue.3, pp.826-837, 1996. ,
DOI : 10.1063/1.868864
Global linear stability of the non-parallel Batchelor vortex, Journal of Fluid Mechanics, vol.629, p.139, 2009. ,
DOI : 10.1006/jcph.2002.7187
URL : https://hal.archives-ouvertes.fr/hal-01021155
Freefem++ manual, third edition, version 3.16-1, 2011. ,
PARABOLIZED STABILITY EQUATIONS, Annual Review of Fluid Mechanics, vol.29, issue.1, pp.245-283, 1997. ,
DOI : 10.1146/annurev.fluid.29.1.245
Perturbed Free Shear Layers, Annual Review of Fluid Mechanics, vol.16, issue.1, pp.365-422, 1984. ,
DOI : 10.1146/annurev.fl.16.010184.002053
Absolute and convective instabilities in free shear layers, Journal of Fluid Mechanics, vol.19, issue.-1, pp.151-168, 1985. ,
DOI : 10.1017/S0022112064000908
Local and Global Instabilities in Spatially Developing Flows, Annual Review of Fluid Mechanics, vol.22, issue.1, pp.473-537, 1990. ,
DOI : 10.1146/annurev.fl.22.010190.002353
Linear non-normal energy amplification of harmonic and stochastic forcing in the turbulent channel flow, Journal of Fluid Mechanics, vol.101, pp.51-73, 2010. ,
DOI : 10.1017/S0022112000001713
URL : https://hal.archives-ouvertes.fr/hal-01020668
Implementation of WENO schemes in compressible multicomponent flow problems, Journal of Computational Physics, vol.219, issue.2, pp.715-732, 2006. ,
DOI : 10.1016/j.jcp.2006.04.018
Understanding jet noise, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.30, issue.1107, pp.3593-3608, 1924. ,
DOI : 10.1098/rspa.1952.0060
Discrete noise spectrum generated by an acoustically excited jet, 5th Aeroacoustics Conference, pp.434-441, 1980. ,
DOI : 10.2514/6.1979-592
Development of a nonlinear eddy-viscosity closure for the triple-decomposition stability analysis of a turbulent channel, Journal of Fluid Mechanics, vol.3, pp.74-107, 2010. ,
DOI : 10.1063/1.1597453
On turbulent jet flows - A new perspective, 6th Aeroacoustics Conference, pp.80-0962, 1980. ,
DOI : 10.2514/6.1980-962
Noise generation by a low-Mach-number jet, Journal of Fluid Mechanics, vol.16, issue.-1, p.1, 1983. ,
DOI : 10.1017/S0022112071001745
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
Global modes and aerodynamic sound radiation in self-excited hot jets, 2007. ,
Nonlinear global modes in hot jets, Journal of Fluid Mechanics, vol.554, issue.-1, pp.393-409, 2006. ,
DOI : 10.1017/S0022112006008974
URL : https://hal.archives-ouvertes.fr/hal-01023363
Measurements of subsonic jet noise and comparison with theory, Journal of Fluid Mechanics, vol.15, issue.03, p.477, 1971. ,
DOI : 10.1017/S002211207100065X
A preconditioned Krylov technique for global hydrodynamic stability analysis of large-scale compressible flows, Journal of Computational Physics, vol.229, issue.3, pp.541-560, 2010. ,
DOI : 10.1016/j.jcp.2009.09.019
URL : https://hal.archives-ouvertes.fr/hal-00998008
Global stability of swept flow around a parabolic body: connecting attachment-line and crossflow modes, Journal of Fluid Mechanics, vol.30, pp.205-214, 2008. ,
DOI : 10.1146/annurev.fluid.29.1.245
URL : https://hal.archives-ouvertes.fr/hal-01022801
Global sustained perturbations in a backwardfacing step flow, Seventh IUTAM Symposium on Laminar-Turbulent Transition, 2010. ,
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
Global mode interaction and pattern selection in the wake of a disk: a weakly nonlinear expansion, Journal of Fluid Mechanics, vol.102, p.159, 2009. ,
DOI : 10.1017/S0022112093002150
URL : https://hal.archives-ouvertes.fr/hal-01002592
Effect of compressibility on the global stability of axisymmetric wake flows, Journal of Fluid Mechanics, vol.19, pp.499-526, 2010. ,
DOI : 10.2514/3.60954
URL : https://hal.archives-ouvertes.fr/hal-01020659
On the inviscid instability of the hyperbolictangent velocity profile, Journal of Fluid Mechanics, vol.8, issue.04, p.543, 1964. ,
DOI : 10.1017/S0022112064000908
On spatially growing disturbances in an inviscid shear layer, Journal of Fluid Mechanics, vol.10, issue.03, p.521, 1965. ,
DOI : 10.1007/BF00537616
Instability of compressible circular free jet regarding influence of boundary layer thickness of a jet, Zeitschrift fur flugwissenschaften, vol.19, pp.8-9319, 1971. ,
Survey on jet instability theory, Progress in Aerospace Science, pp.159-199, 1984. ,
DOI : 10.1016/0376-0421(84)90005-8
Feedback control of global oscillations in fluid systems, 2nd Shear Flow Conference, pp.89-0991, 1989. ,
DOI : 10.2514/6.1989-991
Absolute instability in hot jets, AIAA Journal, vol.26, issue.8, pp.911-916, 1988. ,
DOI : 10.2514/3.9990
Global three-dimensional optimal disturbances in the Blasius boundary-layer flow using time-steppers, Journal of Fluid Mechanics, vol.608, p.181, 2010. ,
DOI : 10.1126/science.261.5121.578
The role of shear-layer instability waves in jet exhaust noise, Journal of Fluid Mechanics, vol.17, issue.02, p.321, 1977. ,
DOI : 10.1063/1.1694612
Global mode analysis of turbulent high-speed jets. Annual research briefs, 2010. ,
Non-normal global modes of high-speed jets, International Journal of Spray and Combustion Dynamics, vol.78, issue.2, pp.285-302, 2011. ,
DOI : 10.1260/1756-8277.3.4.285
Global modes and transient response of a cold supersonic jet, Journal of Fluid Mechanics, vol.669, pp.225-241, 2011. ,
DOI : 10.1017/S0022112008003662
A parameter free ADI-like method for the numerical solution of large scale lyapunov equations, 2009. ,
Directivity of acoustic emissions from wave packets to the far field, Journal of Fluid Mechanics, vol.75, p.165, 2009. ,
DOI : 10.1017/S0022112006001315
Bifurcating jets at high reynolds numbers, 1988. ,
Investigation of the PSE approach for subsonic and supersonic hot jets. Detailed comparisons with LES and Linearized Euler Equations results, International Journal of Aeroacoustics, vol.5, issue.4, pp.361-393, 2006. ,
DOI : 10.1260/147547206779379877
Helical instabilities of slowly divergent jets, Journal of Fluid Mechanics, vol.11, issue.02, p.209, 1979. ,
DOI : 10.1063/1.1694612
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
The measurement and interpretation of fractal dimensions of the scalar interface in turbulent flows. Physics of Fluids A: Fluid Dynamics, p.792, 1990. ,
A note on optimal transient growth in turbulent channel flows, Physics of Fluids, vol.21, issue.1, p.15109, 2009. ,
DOI : 10.1063/1.3068760
URL : https://hal.archives-ouvertes.fr/hal-01021124
On the growth and propagation of linear instability waves in compressible turbulent jets, Physics of Fluids, vol.21, issue.5, p.54106, 2009. ,
DOI : 10.1063/1.3139302
Wave-packet models for large-scale mixing noise, International Journal of Aeroacoustics, vol.9, issue.4, pp.533-558, 2010. ,
DOI : 10.1260/1475-472x.9.4-5.533
URL : http://authors.library.caltech.edu/19375/1/Reba2010p10969Int_J_Aeroacoust.pdf
Energy growth in viscous channel flows, Journal of Fluid Mechanics, vol.26, issue.-1, pp.209-238, 1993. ,
DOI : 10.1017/S0022112069001959
Pseudospectra of the Convection-Diffusion Operator, SIAM Journal on Applied Mathematics, vol.54, issue.6, p.1634, 1994. ,
DOI : 10.1137/S0036139993246982
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, p.54263, 1972. ,
DOI : 10.1063/1.1762299
Parabolized stability equation models for predicting large-scale mixing noise of turbulent round jets, 17th AIAA/CEAS Aeroacoustics Conference (32nd AIAA Aeroacoustics Conference), 2011. ,
DOI : 10.2514/6.2011-2838
SLEPc users manual, 2010. ,
Governing equations for a new compressible Navier- Stokes solver in general cylindrical coordinates, 2007. ,
DNS of compressible pipe flow exiting into a coflow, International Journal of Heat and Fluid Flow, vol.35, 2012. ,
DOI : 10.1016/j.ijheatfluidflow.2012.01.006
Boundary-layer theory, 1955. ,
DOI : 10.1007/978-3-662-52919-5
Nonmodal Stability Theory, Annual Review of Fluid Mechanics, vol.39, issue.1, pp.129-162, 2007. ,
DOI : 10.1146/annurev.fluid.38.050304.092139
URL : https://hal.archives-ouvertes.fr/hal-01023333
A characteristic-type formulation of the Navier-Stokes equations for high order upwind schemes. Computers and Fluids, pp.37-67, 2000. ,
Finite Difference of Adjoint or Adjoint of Finite Difference?, Monthly Weather Review, vol.125, issue.12, pp.3373-3378, 1997. ,
DOI : 10.1175/1520-0493(1997)125<3373:FDOAOA>2.0.CO;2
Absolute instability in hot jets, 1986. ,
Spinning modes on axisymmetric jets. Part 1, Journal of Fluid Mechanics, vol.92, issue.-1, p.231, 1983. ,
DOI : 10.1016/0022-460X(83)91019-2
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
Spectra and Pseudospectra, 2005. ,
DOI : 10.1007/978-3-662-03972-4_6
Hydrodynamic Stability Without Eigenvalues, Science, vol.261, issue.5121, pp.261578-584, 1993. ,
DOI : 10.1126/science.261.5121.578
Polar coordinates ,
Low-Dissipative High-Order Shock-Capturing Methods Using Characteristic-Based Filters, Journal of Computational Physics, vol.150, issue.1, pp.199-238, 1999. ,
DOI : 10.1006/jcph.1998.6177