N. Gourdain, L. Y. Gicquel, and E. Collado, RANS and LES for the heat transfer prediction in turbine guide vane, J. Propul. Power, vol.28, p.423, 2012.

P. Sagaut, Large-eddy Simulation for Incompressible Flows, 2005.

E. Garnier, N. Adams, and P. Sagaut, Large-Eddy Simulation for Compressible Flows, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01313539

P. Sagaut and S. Deck, Large eddy simulation for aerodynamics: Status and perspectives, Philos. Trans. R. Soc., A, vol.367, p.2849, 2009.

A. J. Smits, B. J. Mckeon, and I. Marusic, High-Reynolds number wall turbulence, Annu. Rev. Fluid Mech, vol.43, p.353, 2011.

D. R. Chapman, Computational aerodynamics development and outlook, AIAA J, vol.17, p.1293, 1979.

H. Choi and P. Moin, Grid-point requirements for large eddy simulation: Chapman's estimates revisited, Phys. Fluids, vol.24, p.11702, 2012.
DOI : 10.1063/1.3676783
URL : https://aip.scitation.org/doi/pdf/10.1063/1.3676783

U. Piomelli and E. Balaras, Wall-layer models for large-eddy simulations, Annu. Rev. Fluid Mech, vol.34, p.349, 2002.
DOI : 10.1016/j.paerosci.2008.06.001

P. Sagaut, S. Deck, and M. Terracol, Multiscale and Multiresolution Approaches in Turbulence, 2013.
DOI : 10.1142/p447
URL : https://hal.archives-ouvertes.fr/hal-01313533

U. Piomelli, Wall-layer models for large-eddy simulations, Prog. Aerosp. Sci, vol.44, p.437, 2008.
DOI : 10.1016/j.paerosci.2008.06.001

J. Fröhlich and D. Terzi, Hybrid LES/RANS methods for the simulation of turbulent flows, Prog. Aerosp. Sci, vol.44, p.349, 2008.

P. R. Spalart, Detached-eddy simulation, Annu. Rev. Fluid Mech, vol.41, p.181, 2009.
DOI : 10.1146/annurev.fluid.010908.165130

J. Larsson, S. Kawai, J. Bodart, and I. Bermejo-moreno, Large eddy simulation with modeled wall-stress: Recent progress and future directions, Mech. Eng. Rev, vol.3, pp.15-00418, 2016.

S. T. Bose and G. I. Park, Wall-modeled large-eddy simulation for complex turbulent flows, Annu. Rev. Fluid Mech, vol.50, p.535, 2018.
DOI : 10.1146/annurev-fluid-122316-045241

S. Deck, N. Renard, R. Laraufie, and P. Sagaut, Zonal detached eddy simulation (ZDES) of a spatially developing flat plate turbulent boundary layer over the Reynolds number range 3150 ? Re ? ? 14000, Phys. Fluids, vol.26, p.25116, 2014.

S. Deck and N. Renard, Improvements in zonal detached eddy simulation for wall modeled large-eddy simulation, AIAA J, vol.53, p.3599, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01232564

P. Spalart and S. Allmaras, A one-equation turbulence model for aerodynamic flows, 30th Aerospace Sciences Meeting and Exhibit, 1992.

M. Strelets, Detached eddy simulation of massively separated flows, 39th Aerospace Sciences Meeting and Exhibit, 2001.
DOI : 10.2514/6.2001-879

F. Hamba, Analysis of filtered Navier-Stokes equation for hybrid RANS/LES simulation, Phys. Fluids, vol.23, p.15108, 2011.

U. Piomelli, E. Balaras, H. Pasinato, K. D. Squires, and P. R. Spalart, The inner-outer layer interface in large-eddy simulations with wall-layer models, Int. J. Heat Fluid Flow, vol.24, p.538, 2003.

A. Keating and U. Piomelli, A dynamic stochastic forcing method as a wall-layer model for large-eddy simulation, J. Turbul, vol.7, p.12, 2006.
DOI : 10.1080/14685240612331392460

S. Kawai and J. Larsson, Wall-modeling in large eddy simulation: Length scales, grid resolution, and accuracy, Phys. Fluids, vol.24, p.15105, 2012.
DOI : 10.1063/1.3678331

S. Bocquet, P. Sagaut, and J. Jouhaud, A compressible wall model for largeeddy simulation with application to prediction of aerothermal quantities, Phys. Fluids, vol.24, p.65103, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01298920

J. Jiménez, Cascades in wall-bounded turbulence, Annu. Rev. Fluid Mech, vol.44, p.27, 2012.

W. Cabot and P. Moin, Approximate wall boundary conditions in the largeeddy simulation of high Reynolds number flow, Flow, Turbul. Combust, vol.63, p.269, 2000.

P. Wu and J. Meyers, A constraint for the subgrid-scale stresses in the logarithmic region of high Reynolds number turbulent boundary layers: A solution to the log-layer mismatch problem, Phys. Fluids, vol.25, p.15104, 2013.

L. S. Kovasznay, V. Kibens, and R. F. Blackwelder, Large-scale motion in the intermittent region of a turbulent boundary layer, J. Fluid Mech, vol.41, p.283, 1970.

K. C. Kim and R. J. Adrian, Very large-scale motion in the outer layer, Phys. Fluids, vol.11, p.417, 1999.

N. Hutchins and I. Marusic, Evidence of very long meandering features in the logarithmic region of turbulent boundary layers, J. Fluid Mech, vol.579, p.1, 2007.

G. I. Park and P. Moin, Numerical aspects and implementation of a two-layer zonal wall model for les of compressible turbulent flows on unstructured meshes, J. Comput. Phys, vol.305, p.589, 2016.

G. Hoffmann and C. Benocci, Approximate wall boundary conditions for large eddy simulations, Fluid Mechanics and its Applications, p.222, 1995.

E. Balaras and C. Benocci, Two-layer approximate boundary conditions for large-eddy simulations, AIAA J, vol.34, p.1111, 1996.

M. Wang and P. Moin, Dynamic wall modeling for large-eddy simulation of complex turbulent flows, Phys. Fluids, vol.14, p.2043, 2002.

S. Kawai and J. Larsson, Dynamic non-equilibrium wall-modeling for large eddy simulation at high Reynolds numbers, Phys. Fluids, vol.25, p.15105, 2013.

G. I. Park and P. Moin, An improved dynamic non-equilibrium wall-model for large eddy simulation, Phys. Fluids, vol.26, p.15108, 2014.

S. Hickel, E. Touber, J. Bodart, and J. Larsson, A parametrized nonequilibrium wall-model for large-eddy simulations, Proceedings of the 2012 Center for Turbulence Research Summer Program, pp.127-136, 2012.

I. Bermejo-moreno, L. Campo, J. Larsson, J. Bodart, D. Helmer et al., Confinement effects in shock wave/turbulent boundary layer interactions through wall-modelled large-eddy simulations, J. Fluid Mech, vol.758, p.5, 2014.

X. I. Yang, J. Urzay, S. Bose, and P. Moin, Aerodynamic heating in wall-modeled large-eddy simulation of high-speed flows, AIAA J, vol.56, p.731, 2018.

A. Weber, H. Schreiber, R. Fuchs, and W. Steinert, 3-d transonic flow in a compressor cascade with shock-induced corner stall, J. Turbomach, vol.124, p.358, 2002.

C. Hah, Large eddy simulation of transonic flow field in nasa rotor 37, 2009.

X. Ottavy, N. Courtiade, and N. Gourdain, Experimental and computational methods for flow investigation in high-speed multistage compressor, J. Propul. Power, vol.28, p.1141, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00780555

T. Léonard, L. Y. Gicquel, N. Gourdain, and F. Duchaine, Steady/unsteady Reynolds-averaged Navier-Stokes and large eddy simulations of a turbine blade at high subsonic outlet mach number, J. Turbomach, vol.137, p.41001, 2014.

N. Gourdain, Prediction of the unsteady turbulent flow in an axial compressor stage. Part 1: Comparison of unsteady RANS and LES with experiments, Comput. Fluids, vol.106, p.119, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01104741

J. Tyacke, P. Tucker, R. Jefferson-loveday, N. R. Vadlamani, R. Watson et al., Large eddy simulation for turbines: Methodologies, cost and future outlooks, J. Turbomach, vol.136, p.61009, 2013.

P. G. Tucker and J. C. Tyacke, Eddy resolving simulations in aerospace, Appl. Math. Comput, vol.272, p.582, 2015.

T. Arts and M. Lambert-de-rouvroit, Aero-thermal performance of a two-dimensional highly loaded transonic turbine nozzle guide vane: A test case for inviscid and viscous flow computations, J. Turbomach, vol.114, p.147, 1992.

J. C. Tyacke and P. G. Tucker, Future use of large eddy simulation in aero-engines, J. Turbomach, vol.137, p.81005, 2015.

N. Gourdain, F. Sicot, F. Duchaine, and L. Gicquel, Large eddy simulation of flows in industrial compressors: A path from, Philos. Trans. R. Soc., A, vol.372, p.20130323, 2014.

X. Yang, J. Sadique, R. Mittal, and C. Meneveau, Integral wall model for large eddy simulations of wall-bounded turbulent flows, Phys. Fluids, vol.27, issue.2, p.25112, 2015.

F. Cadieux, J. Sadique, X. I. Yang, C. Meneveau, and R. Mittal, Wallmodeled large eddy simulation of laminar and turbulent separation bubble flows, 46th AIAA Fluid Dynamics Conference, 2016.

L. Cambier, S. Heib, and S. Plot, The onera elsA CFD software: Input from research and feedback from industry, Mech. Ind, vol.14, pp.159-174, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01293795

F. Nicoud and F. Ducros, Subgrid-scale stress modelling based on the square of the velocity gradient tensor, Flow, Turbul. Combust, vol.62, p.183, 1999.
URL : https://hal.archives-ouvertes.fr/hal-00910373

A. Kravchenko and P. Moin, On the effect of numerical errors in large eddy simulations of turbulent flows, J. Comput. Phys, vol.131, p.310, 1997.

H. Reichardt, Complete representation of the turbulent velocity distribution in smooth pipes, Z. Angew. Math. Mech, vol.31, p.208, 1951.

B. A. Kader, Temperature and concentration profiles in fully turbulent boundary layers, Int. J. Heat Mass Transfer, vol.24, p.1541, 1981.

S. L. Bras, H. Deniau, C. Bogey, and G. Daviller, Development of compressible large-eddy simulations combining high-order schemes and wall modeling, AIAA J, vol.55, p.1152, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01724958

T. V. Kármán, ¨ Uber laminare und turbulente reibung, Z. Angew. Math. Mech, vol.1, p.233, 1921.

K. Pohlhausen, Zur näherungsweisen integration der differentialgleichung der iaminaren grenzschicht, Z. Angew. Math. Mech, vol.1, p.252, 1921.

B. Aupoix and S. Viala, Compressible turbulent boundary layer modelling, Transitional and Turbulent Compressible Flows, Fluids Engineering Division, vol.224, p.139, 1995.

G. N. Coleman, J. Kim, and R. D. Moser, A numerical study of turbulent supersonic isothermal-wall channel flow, J. Fluid Mech, vol.305, p.159, 1995.

P. G. Huang, G. N. Coleman, and P. Bradshaw, Compressible turbulent channel flows: DNS results and modeling, J. Fluid Mech, vol.305, p.185, 1995.

H. M. Nagib and K. A. Chauhan, Variations of von Kármán coefficient in canonical flows, Phys. Fluids, vol.20, p.101518, 2008.

W. K. George, Is there a universal log law for turbulent wall-bounded flows?, Philos. Trans. R. Soc., A, vol.365, p.789, 2007.

T. Houra and Y. Nagano, Effects of adverse pressure gradient on heat transfer mechanism in thermal boundary layer, Int. J. Heat Fluid Flow, vol.27, p.967, 2006.

R. Johnstone, G. N. Coleman, and P. R. Spalart, The resilience of the logarithmic law to pressure gradients: Evidence from DNS, J. Fluid Mech, vol.643, p.163, 2010.

J. C. Gillis and J. P. Johnston, Turbulent boundary-layer flow and structure on a convex wall and its redevelopment on a flat wall, J. Fluid Mech, vol.135, p.123, 1983.

N. , Analysis of a turbulent boundary layer subjected to a strong adverse pressure gradient, Int. J. Eng. Sci, vol.21, p.563, 1983.

M. Skote and D. S. Henningson, Direct numerical simulation of a separated turbulent boundary layer, J. Fluid Mech, vol.471, p.107, 2002.

A. Walz, Strömungs-und Temperaturgrenzschichten, 1966.

H. Abe, H. Kawamura, and Y. Matsuo, Surface heat-flux fluctuations in a turbulent channel flow up to Re ? = 1020 with Pr, Int. J. Heat Fluid Flow, vol.25, p.404, 2004.

S. Hoyas and J. Jiménez, Scaling of the velocity fluctuations in turbulent channels up to Re ? = 2003, Phys. Fluids, vol.18, p.11702, 2006.

A. Lozano-durán and J. Jiménez, Effect of the computational domain on direct simulations of turbulent channels up to Re ? = 4200, Phys. Fluids, vol.26, p.11702, 2014.

M. Lee and R. D. Moser, Direct numerical simulation of turbulent channel flow up to Re ? 5200, J. Fluid Mech, vol.774, p.395, 2015.

W. M. Kays, M. E. Crawford, and A. Weigand, Convective Heat and Mass Transfer, 2004.

D. Modesti and S. Pirozzoli, Reynolds and mach number effects in compressible turbulent channel flow, Int. J. Heat Fluid Flow, vol.59, p.33, 2016.
DOI : 10.1016/j.ijheatfluidflow.2016.01.007

A. Trettel and J. Larsson, Mean velocity scaling for compressible wall turbulence with heat transfer, Phys. Fluids, vol.28, p.26102, 2016.
DOI : 10.1063/1.4942022

D. Li, Revisiting the subgrid-scale Prandtl number for large-eddy simulation, J. Fluid Mech, vol.802, p.2, 2016.
DOI : 10.1017/jfm.2016.472

P. Moin, K. Squires, W. Cabot, and S. Lee, A dynamic subgrid-scale model for compressible turbulence and scalar transport, Phys. Fluids A, vol.3, p.2746, 1991.
DOI : 10.1063/1.858164

C. C. De-wiart, K. Hillewaert, L. Bricteux, and G. Winckelmans, Implicit les of free and wall-bounded turbulent flows based on the discontinuous galerkin/symmetric interior penalty method, Int. J. Numer. Methods Fluids, vol.78, p.335, 2015.

O. Cabrit, Modélisation des flux pariétaux sur les tuyères des moteursàmoteurs`moteursà propergol solide, 2009.

C. Meneveau, T. S. Lund, and W. H. Cabot, A Lagrangian dynamic subgridscale model of turbulence, J. Fluid Mech, vol.319, p.353, 1996.

F. Kremer, ´ Etude numérique d'´ ecoulements de paroi compressibles: Méthodes d'intégration temporelle semi-implicites et application au canal plan turbulent, 2012.

C. Cossu and Y. Hwang, Self-sustaining processes at all scales in wallbounded turbulent shear flows, Philos. Trans. R. Soc., A, vol.375, p.20160088, 2017.
DOI : 10.1098/rsta.2016.0088
URL : https://hal.archives-ouvertes.fr/hal-02042719

M. Lagha, J. Kim, J. D. Eldredge, and X. Zhong, A numerical study of compressible turbulent boundary layers, Phys. Fluids, vol.23, p.15106, 2011.
DOI : 10.1063/1.3541841

P. G. Huang and P. Bradshaw, Law of the wall for turbulent flows in pressure gradients, AIAA J, vol.33, p.624, 1995.

J. W. Nam and F. S. Lien, A ghost-cell immersed boundary method for large-eddy simulations of compressible turbulent flows, Int. J. Comput. Fluid Dyn, vol.28, p.41, 2014.

Z. Sun, Y. Zhu, Y. Hu, and S. Zhang, Direct numerical simulation of a fully developed compressible wall turbulence over a wavy wall, J. Turbul, vol.19, p.72, 2018.

M. F. Shahab, G. Lehnasch, T. B. Gatski, and P. Comte, Statistical characteristics of an isothermal, supersonic developing boundary layer flow from DNS data, Flow, Turbul. Combust, vol.86, p.369, 2011.

Y. Chu, Y. Zhuang, and X. Lu, Effect of wall temperature on hypersonic turbulent boundary layer, J. Turbul, vol.14, p.37, 2013.

A. Hadjadj, O. Ben-nasr, M. S. Shadloo, and A. Chaudhuri, Effect of wall temperature in supersonic turbulent boundary layers: A numerical study, Int. J. Heat Mass Transfer, vol.81, p.426, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01161692

M. S. Shadloo, A. Hadjadj, and F. Hussain, Statistical behavior of supersonic turbulent boundary layers with heat transfer at M ? = 2, Int. J. Heat Fluid Flow, vol.53, p.113, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01161690

M. S. Shadloo and A. Hadjadj, Laminar-turbulent transition in supersonic boundary layers with surface heat transfer: A numerical study, Numer. Heat Transfer, Part A, vol.72, p.40, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01611155