U. Germano, P. Piomelli, W. Moin, and . Cabot, A dynamic subgrid???scale eddy viscosity model, Physics of Fluids A: Fluid Dynamics, vol.3, issue.7, pp.1760-1765, 1991.
DOI : 10.1063/1.857955

H. B. Nicoud, O. Toda, S. Cabrit, J. Bose, and . Lee, Using singular values to build a subgrid-scale model for large eddy simulations, Physics of Fluids, vol.23, issue.8, p.85106, 2011.
DOI : 10.1063/1.3623274
URL : https://hal.archives-ouvertes.fr/hal-00802472

. Smagorinsky, GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS, Monthly Weather Review, vol.91, issue.3, pp.99-164, 1963.
DOI : 10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2

M. Métais and . Lesieur, Spectral large-eddy simulation of isotropic and stably stratified turbulence, Journal of Fluid Mechanics, vol.91, issue.-1, pp.157-194, 1992.
DOI : 10.1175/1520-0469(1976)033 2.0.CO;2

F. Nicoud and . 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

W. Vreman, An eddy-viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications, Physics of Fluids, vol.16, issue.10, pp.3670-3681, 2004.
DOI : 10.1063/1.1785131

. Bruneaux, Combustion structure of free and wall-impinging diesel jets by simultaneous laser-induced fluorescence of formaldehyde, poly-aromatic hydrocarbons, and hydroxides, International Journal of Engine Research, vol.221, issue.3
DOI : 10.1243/14680874JER00108

T. S. Ghosal, P. Lund, K. Moin, and . Akselvoll, A dynamic localization model for large-eddy simulation of turbulent flows, Journal of Fluid Mechanics, vol.256, issue.-1, pp.229-255, 1995.
DOI : 10.1063/1.861942

T. S. Meneveau, W. H. Lund, and . Cabot, A Lagrangian dynamic subgrid-scale model of turbulence, Journal of Fluid Mechanics, vol.17, issue.-1, pp.353-385, 1996.
DOI : 10.1017/S0022112092002271

K. Park and . Mahesh, Reduction of the Germano-identity error in the dynamic Smagorinsky model, Physics of Fluids, vol.21, issue.6, p.65106, 2009.
DOI : 10.1063/1.3140033

S. Comte-bellot and . Corrsin, Simple Eulerian time correlation of full-and narrow-band velocity signals in grid-generated, ???isotropic??? turbulence, Journal of Fluid Mechanics, vol.25, issue.02, pp.273-337, 1971.
DOI : 10.1007/BF02008148

S. Kang, S. Chester, and C. Meneveau, Decaying turbulence in an active-grid-generated flow and comparisons with large-eddy simulation, Journal of Fluid Mechanics, vol.480, pp.129-160, 2003.
DOI : 10.1017/S0022112002003579

J. Moin and . Kim, Numerical investigation of turbulent channel flow, Journal of Fluid Mechanics, vol.22, issue.-1, pp.341-377, 1982.
DOI : 10.1016/0021-9991(80)90076-5

P. Kim, R. Moin, and . Moser, Turbulence statistics in fully developed channel flow at low Reynolds number, Journal of Fluid Mechanics, vol.65, issue.-1, pp.133-166, 1987.
DOI : 10.1017/S0022112074001479

D. Moser, J. Kim, and N. N. Mansour, Direct numerical simulation of turbulent channel flow up to Re ? = 590, Phys, vol.11, issue.4, pp.943-945, 1999.

D. I. Voelkl, D. C. Pullin, and . Chan, A physical-space version of the stretched-vortex subgrid-stress model for large-eddy simulation, Physics of Fluids, vol.12, issue.7, pp.1810-1824, 2000.
DOI : 10.1063/1.870429

F. K. Gullbrand and . Chow, The effect of numerical errors and turbulence models in large-eddy simulations of channel flow, with and without explicit filtering, Journal of Fluid Mechanics, vol.495, pp.323-341, 2003.
DOI : 10.1017/S0022112003006268

H. Cui, Z. Zhou, L. Zhang, and . Shao, A new dynamic subgrid eddy viscosity model with application to turbulent channel flow, Physics of Fluids, vol.16, issue.8, pp.2835-2842, 2004.
DOI : 10.1063/1.1762911

P. Meyers and . Sagaut, Is plane-channel flow a friendly case for the testing of large-eddy simulation subgrid-scale models?, Physics of Fluids, vol.19, issue.4, p.48105, 2007.
DOI : 10.1063/1.2722422

F. Lévêque, L. Toschi, J. Shao, and . Bertoglio, Shear-improved Smagorinsky model for large-eddy simulation of wall-bounded turbulent flows, Journal of Fluid Mechanics, vol.570, pp.491-502, 2007.
DOI : 10.1017/S0022112006003429

P. Stolz, L. Schlatter, and . Kleiser, High-pass filtered eddy-viscosity models for largeeddy simulations of transitional and turbulent flow, Phys, vol.17, issue.6, p.65103, 2005.

T. Bose, P. Moin, and D. You, Grid-independent large-eddy simulation using explicit filtering, Physics of Fluids, vol.22, issue.10, p.105103, 2010.
DOI : 10.1063/1.3485774

R. Ahmed and G. Ramm, Some Salient Features Of The Time-Averaged Ground Vehicle Wake, SAE Technical Paper Series, 1984.
DOI : 10.4271/840300

R. L. Zang, J. R. Street, and . Koseff, A dynamic mixed subgrid???scale model and its application to turbulent recirculating flows, Physics of Fluids A: Fluid Dynamics, vol.5, issue.12, pp.3186-3196, 1993.
DOI : 10.1063/1.858675

K. Yang and J. H. Ferziger, Large-Eddy Simulation of Turbulent Obstacle Flow Using a Dynamic Subgrid-Scale Model, AIAA Journal, vol.31, issue.8, pp.311406-1413, 1993.
DOI : 10.2514/3.49081

S. Kang and C. Meneveau, Effect of large-scale coherent structures on subgrid-scale stress and strain-rate eigenvector alignments in turbulent shear flow, Physics of Fluids, vol.17, issue.5, p.55103, 2005.
DOI : 10.1063/1.1890425

. Didden, On the formation of vortex rings: Rolling-up and production of circulation, Zeitschrift f??r angewandte Mathematik und Physik ZAMP, vol.20, issue.1
DOI : 10.1007/BF01597484

R. Nitsche and . Krasny, A numerical study of vortex ring formation at the edge of a circular tube, Journal of Fluid Mechanics, vol.31, issue.-1, pp.139-161, 1994.
DOI : 10.1063/1.862606

T. Lim and T. B. Nickels, Vortex Rings, Fluid vortices, pp.95-153, 1995.
DOI : 10.1007/978-94-011-0249-0_4

E. Sagaut, N. Garnier, and . Adams, Large eddy simulation for compressible flows, Springer Science Science + Business Media B. V, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01313539

H. Bell and P. Bradshaw, Boundary-layer predictions for small low-speed contractions

M. Brassard and . Ferchichi, Transformation of a Polynomial for a Contraction Wall Profile, Journal of Fluids Engineering, vol.127, issue.1, pp.183-185, 2005.
DOI : 10.1115/1.1852492

D. Mehta and P. Bradshaw, Design rules for small low speed wind tunnels. The aeronautical, Journal of the Royal Aeronautical Society, 1979.

D. Mehta, Turbulent boundary layer perturbed by a screen, AIAA Journal, vol.23, issue.9, pp.1335-1342, 1985.
DOI : 10.2514/3.9089

. Hesselink, Digital Image Processing in Flow Visualization, Annual Review of Fluid Mechanics, vol.20, issue.1, pp.421-486, 1988.
DOI : 10.1146/annurev.fl.20.010188.002225

J. Westerweel, Theoretical analysis of the measurement precision in particle image velocimetry, Experiments in Fluids, vol.29, issue.7, pp.3-012, 2000.
DOI : 10.1007/s003480070002

C. and M. Rudgyard, Development of high-order Taylor-Galerkin schemes for unsteady calculations, J. Comput. Phys, vol.162, issue.2, pp.338-371, 2000.

G. Moureau, Y. Lartigue, C. Sommerer, O. Angelberger, T. Colin et al., Numerical methods for unsteady compressible multi-component reacting flows on fixed and moving grids, Journal of Computational Physics, vol.202, issue.2, pp.710-736, 2005.
DOI : 10.1016/j.jcp.2004.08.003

F. Cabrit and . Nicoud, Direct simulations for wall modeling of multicomponent reacting compressible turbulent flows, Physics of Fluids, vol.21, issue.5, p.55108, 2009.
DOI : 10.1063/1.3123528
URL : https://hal.archives-ouvertes.fr/hal-00803823

B. Toda, O. Cabrit, G. Balarac, S. Bose, J. Lee et al., A subgrid-scale model based on singular values for LES in complex geometries, Proc. of the Summer Programm, pp.193-202, 2010.

K. Lilly, A proposed modification of the Germano subgrid-scale closure mmethod, Phys. A, vol.4, issue.3, pp.633-635, 1992.

B. Dean, Reynolds Number Dependence of Skin Friction and Other Bulk Flow Variables in Two-Dimensional Rectangular Duct Flow, Journal of Fluids Engineering, vol.100, issue.2, pp.215-223, 1978.
DOI : 10.1115/1.3448633

F. Mendez and . Nicoud, Large-eddy simulation of a bi-periodic turbulent flow with effusion, Journal of Fluid Mechanics, vol.117, pp.27-65, 2008.
DOI : 10.1017/S0022112006004034
URL : https://hal.archives-ouvertes.fr/hal-00820464

F. Cabrit and . Nicoud, Direct numerical simulation of a reacting turbulent channel flow with thermochemical ablation, Journal of Turbulence, vol.42, issue.44, pp.1-33, 2010.
DOI : 10.1080/00102208608923872
URL : https://hal.archives-ouvertes.fr/hal-00803379

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

T. J. Baum, D. Poinsot, and . Thévenin, Accurate Boundary Conditions for Multicomponent Reactive Flows, Journal of Computational Physics, vol.116, issue.2, pp.247-261, 1995.
DOI : 10.1006/jcph.1995.1024

S. Yoo and H. G. Im, Characteristic boundary conditions for simulations of compressible reacting flows with multi-dimensional, viscous and reaction effects, Combustion Theory and Modelling, vol.2, issue.2, pp.259-286, 2007.
DOI : 10.1146/annurev.fluid.36.050802.121930

P. Lodato, L. Domingo, and . Vervisch, Three-dimensional boundary conditions for direct and large-eddy simulation of compressible viscous flows, Journal of Computational Physics, vol.227, issue.10, pp.5105-5143, 2008.
DOI : 10.1016/j.jcp.2008.01.038

O. Granet, T. Vermorel, L. Leonard, T. Gicquel, and . Poinsot, Comparison of Nonreflecting Outlet Boundary Conditions for Compressible Solvers on Unstructured Grids, AIAA Journal, vol.48, issue.10, pp.2348-2364, 2010.
DOI : 10.2514/1.J050391

O. Jaegle, S. Cabrit, T. Mendez, and . Poinsot, Implementation Methods of Wall Functions in Cell-vertex Numerical Solvers, Flow, Turbulence and Combustion, vol.1, issue.1, pp.245-272, 2010.
DOI : 10.1007/s10494-010-9276-1

D. Poinsot and . Veynante, Theoretical and Numerical Combustion, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00270731

T. Guezennec and . Poinsot, Acoustically Nonreflecting and Reflecting Boundary Conditions for Vortcity Injection in Compressible Solvers, AIAA Journal, vol.47, issue.7, pp.1709-1722, 2009.
DOI : 10.2514/1.41749

S. Smirnov, I. Shi, and . Celik, Random Flow Generation Technique for Large Eddy Simulations and Particle-Dynamics Modeling, Journal of Fluids Engineering, vol.123, issue.2, pp.359-371, 2001.
DOI : 10.1115/1.1369598

J. R. Hughes, The finite element method: linear static and dynamic finite element analysis, 1987.

D. Lax and B. Wendroff, Systems of conservation laws, Communications on Pure and Applied Mathematics, vol.47, issue.2, pp.217-237, 1960.
DOI : 10.1002/cpa.3160130205

D. Lax and B. Wendroff, Difference schemes for hyperbolic equations with high order of accuracy, Communications on Pure and Applied Mathematics, vol.12, issue.3, pp.381-398, 1964.
DOI : 10.1002/cpa.3160170311

I. Crumpton, J. A. Mackenzie, and K. W. Morton, Cell Vertex Algorithms for the Compressible Navier-Stokes Equations, Journal of Computational Physics, vol.109, issue.1, pp.1-15, 1993.
DOI : 10.1006/jcph.1993.1194

G. Selle, T. Lartigue, R. Poinsot, K. Koch, W. Schildmacher et al., Compressible large eddy simulation of turbulent combustion in complex geometry on unstructured meshes, Combustion and Flame, vol.137, issue.4, pp.489-505, 2004.
DOI : 10.1016/j.combustflame.2004.03.008
URL : https://hal.archives-ouvertes.fr/hal-00271666

D. Couch and P. S. Krueger, Experimental investigation of vortex rings impinging on inclined surfaces, Experiments in Fluids, vol.18, issue.5, pp.1123-1138, 2011.
DOI : 10.1007/s00348-011-1135-x

C. Chu, C. T. Zang, C. C. Chang, R. Y. Chang, and W. T. Chang, Head-on collision of two coaxial vortex rings: experiment and computation, Journal of Fluid Mechanics, vol.225, issue.-1, pp.39-71, 1995.
DOI : 10.1143/JPSJ.53.2263

T. Lim, K. B. Lua, and K. Thet, Does Kutta lift exist on a vortex ring in a uniform cross flow? Phys, p.51701, 2008.

J. Cheng, T. T. Lou, and . Lim, Motion of a vortex ring in a simple shear flow, Physics of Fluids, vol.21, issue.8, p.81701, 2009.
DOI : 10.1063/1.3196903

. Orlandi, Vortex dipole rebound from a wall, Physics of Fluids A: Fluid Dynamics, vol.2, issue.8, pp.1429-1436, 1990.
DOI : 10.1063/1.857591

D. A. Walker, C. R. Smith, A. W. Cerra, and T. L. Doligalski, The impact of a vortex ring on a wall, Journal of Fluid Mechanics, vol.42, issue.-1, pp.99-140, 1987.
DOI : 10.1016/0021-9991(80)90040-6

W. H. Piomelli, P. Cabot, S. Moin, and . Lee, Subgrid???scale backscatter in turbulent and transitional flows, Physics of Fluids A: Fluid Dynamics, vol.3, issue.7, pp.1766-1771, 1991.
DOI : 10.1063/1.857956