.. Évolution-temporelle-du-tenseur, ? : DNS de Lee et Reynolds en 1985), pp.0-1

.. Évolution-temporelle-du-tenseur, 45 (? : DNS de Lee et Reynolds en 1985), p.3

V. Sauts-de, calculés par une relation approchée (8.19), négligeables dans les décompositions pour ?>0, p.4

V. Domaines-de, rectangles en pointillées) du modèle simplifié en tant qu'approximation du modèle construit aux chapitres 9 et 10

D. Comportement and .. La-zone-logarithmique-d, une couche limite à ? =20, du modèle SSG? ? optimisé avec et sans correction sur C ?1 ( c a l c u l sS I M I L ), pp.0-3

B. Bibliographie and . Aupoix, Application de modèles dans l'espace spectral à d'autres niveaux de fermeture en turbulence homogène, Thèse de doctorat d'État, 1987.

B. Aupoix, Couches Limites Bidimensionnelles Compressibles, 1999.

B. Aupoix, In Introduction to Turbulence Modelling -From mixing length to Reynolds stress models, VKI Lecture Series, 2004.

B. Aupoix, H. Bézard, S. Catris, and E. M. Wolfshtein, Étude de Modèles de Turbulence, ONERA, Département Modèles pour l'Aérodynamique et l'Énergétique, 2000.

B. S. Baldwin and T. J. Barth, A one-equation turbulence transport model for high Reynolds number wall-bounded flows. AIAA Paper 91-0610, 29 th Aerospace Science Meeting & Exhibit, 1991.

G. K. Batchelor, The Theory of Homogeneous Turbulence, 1953.

J. H. Bell and R. D. Mehta, Development of a two-stream mixing layer from tripped and untripped boundary layers, AIAA Journal, vol.28, issue.12, pp.2034-2042, 1990.
DOI : 10.2514/3.10519

G. , C. Bellot, and S. Corssin, The use of a contraction to improve the isotropy of grid-generated turbulence, Journal of Fluid Mechanics, vol.25, issue.4, pp.657-682, 1966.

H. Bézard, Optimisation of Two-Equation Turbulence Models, Advances in Turbulence ? Proceedings of the Eighth European Turbulence Conference, p.978, 2000.

A. Bousquet, Prise en compte de l'intermittence de frontière dans la modélisation des écoulements cisaillés turbulents, 1999.

L. J. Bradbury, The structure of a self-preserving turbulent plane jet, Journal of Fluid Mechanics, vol.51, issue.01, p.31, 1965.
DOI : 10.1017/S0022112065001222

P. Bradshaw, Equilibium boundary layer in moderate positive pressure gradient, In Computation of Turbulent Boundary Layers, volume II, pp.2600-2601, 1968.

P. Bradshaw, D. H. Ferris, and N. P. Atwell, Calculation of boundary-layer development using the turbulent energy equation, Journal of Fluid Mechanics, vol.92, issue.03, pp.593-616, 1967.
DOI : 10.1063/1.1702355

P. Bradshaw, N. N. Mansour, and E. U. Piomelli, On local approximations of the pressure-strain term in turbulence models, Proceedings of the Summer Program, pp.159-164, 1987.

G. L. Brown and A. Roshko, On density effects and large structure in turbulent mixing layers, Journal of Fluid Mechanics, vol.87, issue.04, pp.775-816, 1974.
DOI : 10.1017/S002211207400190X

S. Byggstoyl and W. Kollmann, Closure model for intermittent turbulent flows, International Journal of Heat and Mass Transfer, vol.24, issue.11, pp.1811-1822, 1981.
DOI : 10.1016/0017-9310(81)90147-2

S. Byggstoyl and W. Kollmann, A closure model for conditioned stress equations and its application to turbulent shear flows, Physics of Fluids, vol.29, issue.5, p.1430, 1986.
DOI : 10.1063/1.865660

S. Byggstoyl and W. Kollmann, Stress transport in the rotational and irrotational zones of turbulent shear flows, Physics of Fluids, vol.29, issue.5, p.1423, 1986.
DOI : 10.1063/1.865659

A. Cadiou, Contribution à l'étude de modèles de turbulence du second ordre, Thèse de doctorat, Ecole centrale de Nantes, 1996.

C. Cambon, L. Jacquin, and S. L. Lubrano, Toward a new Reynolds stress model for rotating turbulent flows, Physics of Fluids A: Fluid Dynamics, vol.4, issue.4, pp.812-824, 1992.
DOI : 10.1063/1.858298

S. Catris, Études de contraintes et qualification de modèles à viscosité turbulente, Thèse de doctorat, 1999.

S. Catris and B. Aupoix, Towards a calibration of the length-scale equation, International Journal of Heat and Fluid Flow, vol.21, issue.5, pp.606-613, 2000.
DOI : 10.1016/S0142-727X(00)00051-5

J. Cazalbou and P. Chaissaing, New results on the model problem of the diffusion of turbulence from a plane source, Physics of Fluids, vol.13, issue.2, 2001.
DOI : 10.1063/1.1336155

J. Cazalbou and P. Chassaing, The structure of the solution obtained with Reynolds-stress-transport models at the free-stream edges of turbulent flows, Physics of Fluids, vol.14, issue.2, 2002.
DOI : 10.1063/1.1423933

J. Cazalbou, J. R. Spalart, and E. P. Bradshaw, On the behavior of two???equation models at the edge of a turbulent region, Physics of Fluids, vol.6, issue.5, 1993.
DOI : 10.1063/1.868241

J. B. Cazalbou and P. Bradshaw, Turbulent transport in wall???bounded flows. Evaluation of model coefficients using direct numerical simulation, Physics of Fluids A: Fluid Dynamics, vol.5, issue.12, pp.3233-3239, 1993.
DOI : 10.1063/1.858680

T. Cebeci and A. M. Smith, Analysis of Turbulent Boundary Layers, Journal of Applied Mechanics, vol.43, issue.1, 1974.
DOI : 10.1115/1.3423784

F. H. Champagne, V. G. Harris, and E. S. Corrsin, Experiments on nearly homogeneous turbulent shear flow, Journal of Fluid Mechanics, vol.16, issue.01, pp.81-139, 1970.
DOI : 10.1007/BF01330059

P. Chassaing, Turbulence en mécanique des fluides, Cépaduès, 2000.

H. C. Chen, Submarine Flows Studied by Second-Moment Closure, Journal of Engineering Mechanics, vol.121, issue.10, pp.1136-1146, 1995.
DOI : 10.1061/(ASCE)0733-9399(1995)121:10(1136)

C. Chen, Y. J. Jang, and J. C. Han, Computation of heat transfer in rotating two-pass square channels by a second-moment closure model, International Journal of Heat and Mass Transfer, vol.43, issue.9, pp.1603-1616, 2000.
DOI : 10.1016/S0017-9310(99)00227-6

R. Chevray and N. K. Tutu, Intermittency and preferential transport of heat in a round jet, Journal of Fluid Mechanics, vol.135, issue.01, p.133, 1978.
DOI : 10.1063/1.1134503

K. Y. Chien, Predictions of channel and boundary-layer flows with a low-Reynolds-number two-equation model of turbulence, 18th Aerospace Sciences Meeting, pp.33-38, 1982.
DOI : 10.2514/6.1980-134

J. R. Cho and M. K. Chung, A K ?????????? equation turbulence model, Journal of Fluid Mechanics, vol.29, issue.-1, pp.301-322, 1992.
DOI : 10.1017/S0022112075000808

P. Y. Chou, On velocity correlations and the solutions of the equations of turbulent fluctuation, Quarterly of Applied Mathematics, vol.3, issue.1, pp.38-54, 1945.
DOI : 10.1090/qam/11999

J. Cousteix and R. Houdeville, Singularities in three-dimensional turbulent boundary-layer calculations and separation phenomena, AIAA Journal, vol.19, issue.8, pp.976-985, 1981.
DOI : 10.2514/3.7838

J. Cousteix, V. Saint-martin, R. Messing, and H. Bézard, Aupoix, Development of the k ? ? turbulence model, Eleventh Symposium on Turbulent Shear Flows, Institut National Polytechnique, 1997.

B. J. Daly and F. H. Harlow, Transport Equations in Turbulence, Physics of Fluids, vol.13, issue.11, p.2634, 1970.
DOI : 10.1063/1.1692845

T. Daris, Études des modèles de turbulence à quatres équations de transport pour la prévision des écoulements turbulents faiblement chauffés, Thèse de doctorat, 2002.

M. Doussinault, Etude de modèles de turbulence appliqués à l'écoulement autour de l'aile Garteur AD/AG07 (couche limite et sillage), Thèse de doctorat, 1998.

P. A. Durbin and S. E. Belcher, Scaling of adverse-pressure-gradient turbulent boundary layers, Journal of Fluid Mechanics, vol.4, issue.-1, pp.699-722, 1992.
DOI : 10.1017/S0022112069001133

P. A. Durbin and C. G. Speziale, Local Anisotropy in Strained Turbulence at High Reynolds Numbers, Journal of Fluids Engineering, vol.113, issue.4, pp.707-709, 1991.
DOI : 10.1115/1.2926540

W. Eckhaus, Asymptotic Analysis of singular perturbations -Studies in, North Holland publishing company -J.L. LIONS, 1978.

R. E. Falco, Coherent motions in the outer region of turbulent boundary layers, The Physics of Fluids, Part II, vol.20, issue.10, pp.124-132, 1997.

H. Fiedler and M. R. Head, Intermittency measurements in the turbulent boundary layer, Journal of Fluid Mechanics, vol.15, issue.04, pp.719-735, 1966.
DOI : 10.1017/S0022112066000363

L. Flachard, Études de contraintes et qualification de modèles aux tensions de Reynolds, Thèse de doctorat, 2000.

J. Gustavsson, Experiments on turbulent flow separation, Thèse de doctorat, 1998.

E. Gutmark and I. Wygnanski, The planar turbulent jet, Journal of Fluid Mechanics, vol.12, issue.03, pp.465-495, 1976.
DOI : 10.1007/BF02086177

M. Hallbäck, J. Groth, and A. J. Johansson, A Reynolds stress closure for the dissipation in anisotropic turbulent flows, Turb. Shear Flows, 7th Symp, pp.17-19, 1989.

K. Hanjali´chanjali´c and B. E. Launder, A Reynolds stress model of turbulence and its application to thin shear flows, Journal of Fluid Mechanics, vol.15, issue.04, p.609, 1972.
DOI : 10.1016/0017-9310(72)90076-2

T. B. Hedley and J. F. Keffer, Turbulent/non-turbulent decisions in an intermittent flow, Journal of Fluid Mechanics, vol.26, issue.04, pp.625-544, 1974.
DOI : 10.1063/1.1693416

G. Heskestad, Hot-Wire Measurements in a Plane Turbulent Jet, Journal of Applied Mechanics, vol.32, issue.4, p.721, 1965.
DOI : 10.1115/1.3627309

R. Houdeville and P. Malecki, Calcul de couches limites tridimensionnelles. Description et mode d'emploi du code 3C3D, 1994.

P. G. Huang and P. Bradshaw, Law of the wall for turbulent flows in pressure gradients, AIAA Journal, vol.33, issue.4, pp.624-632, 1995.
DOI : 10.2514/3.12624

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

W. P. Jones and P. Musonge, Closure of the Reynolds stress and scalar flux equations, Physics of Fluids, vol.31, issue.12, pp.3589-3604, 1988.
DOI : 10.1063/1.866876

P. S. Klebanoff, Characteristics of turbulence in a boundary layer with zero pressure gradient, 1954.

A. N. Kolmogorov, LOCAL STRUCTURE OF TURBULENCE IN AN INCOMPRESSIBLE VISCOUS FLUID AT VERY HIGH REYNOLDS NUMBERS, Soviet Physics Uspekhi, vol.10, issue.6, pp.301-305, 1941.
DOI : 10.1070/PU1968v010n06ABEH003710

B. E. Launder, G. J. Reece, and E. W. Rodi, Progress in the development of a Reynolds-stress turbulence closure, Journal of Fluid Mechanics, vol.61, issue.03, pp.537-566, 1975.
DOI : 10.1063/1.1694422

B. E. Launder and N. Shima, Second-moment closure for the near-wall sublayer - Development and application, AIAA Journal, vol.27, issue.10, pp.1319-1325, 1989.
DOI : 10.2514/3.10267

B. E. Launder and D. P. Tselepidakis, Contribution to the second-moment modelling of sublayer turbulent transport, Zari´cZari´c Memorial International Seminar on Near-Wall Turbulence, pp.1-6

P. A. Libby, Prediction of the intermittent turbulent wake of a heated cylinder, Physics of Fluids, vol.19, issue.4, 1976.
DOI : 10.1063/1.861505

H. Ludwieg and W. Tillmann, Investigation of the wall shearing stress in turbulent boundary layers, Nat. Adv. Comm. Aero, 1950.

J. L. Lumley, Computational Modeling of Turbulent Flows Advances in applied mechanics, p.123, 1978.

J. L. Lumley, Second order modelling of turbulent flows, In V.K.I. for Fluid Mechanics, Lecture Series 76, pp.1-30, 1979.

Y. Maciel, Etude expérimentale de l'écoulement cisaillé, turbulent et fortement tridimensionnel autour de l'aile en flèche Garteur AD (AG07), Thèse de doctorat, 1994.

P. Malecki, Étude de modèles de turbulence pour les couches limites tridimensionnelles, Thèse de doctorat, 1994.

B. Marasli, F. H. Champagne, and I. J. Wygnanski, On linear evolution of unstable disturbances in a plane turbulent wake, Physics of Fluids A: Fluid Dynamics, vol.3, issue.4, pp.665-674, 1991.
DOI : 10.1063/1.858072

I. Maru?-si´csi´c and A. E. Perry, A wall-wake model for the turbulence structure of boundary layers, Journal of Fluid Mechanics, vol.298, pp.389-407, 1995.

R. D. Mehta and R. V. Westphal, Near-field turbulence properties of single- and two-stream plane mixing layers, Experiments in Fluids, vol.10, issue.5, pp.257-266, 1986.
DOI : 10.1007/BF00369117

G. L. Mellor, The large reynolds number, asymptotic theory of turbulent boundary layers, International Journal of Engineering Science, vol.10, issue.10, pp.851-873, 1972.
DOI : 10.1016/0020-7225(72)90055-9

G. L. Mellor and H. J. Herring, A survey of the mean turbulent field closure models., AIAA Journal, vol.11, issue.5, pp.590-599, 1973.
DOI : 10.2514/3.6803

F. R. Menter, Influence of freestream values on k-omega turbulence model predictions, AIAA Journal, vol.30, issue.6, p.1657, 1992.
DOI : 10.2514/3.11115

F. R. Menter, Two-equation eddy-viscosity turbulence models for engineering applications, AIAA Journal, vol.32, issue.8, pp.1598-1605, 1992.
DOI : 10.2514/3.12149

M. V. Morkovin, Effects of compressibility on turbulent flows, Colloque International CNRS No, vol.108, 1961.

Y. Nagano, T. Tsuji, and E. T. Houra, Structure of turbulent boundary layer subjected to adverse pressure gradient, International Journal of Heat and Fluid Flow, vol.19, issue.5, pp.563-572, 1998.
DOI : 10.1016/S0142-727X(98)10013-9

K. H. Ng and D. B. Spalding, Turbulence Model for Boundary Layers near Walls, Physics of Fluids, vol.15, issue.1, p.20, 1972.
DOI : 10.1063/1.1693739

N. Ninomiya and N. Kasagi, Measurement of the Reynolds stress budgets in a axisymetric free jet with the aid of three-dimensional particle tracking velocimetry, Proceedings of the 9th Symposium on Turbulent Shear Flows, 1993.

M. Oberlack and S. Guenther, Two point similarity solutions of shear-free turbulent diffusion, diffusion waves and its implications for RANS models, 3nd international symposium on Turbulence and Shear Flow Phenomena, pp.287-292, 2003.

S. V. Patankar, Numerical Heat Transfer and Fluid Flow, 1980.

R. P. Patel, An experimental study of a plane mixing layer, AIAA Journal, vol.11, issue.1, pp.2034-2042, 1973.

V. C. Patel and G. Scheuerer, Calculation of two-dimensional near and far wakes, AIAA Journal, vol.20, issue.7, 1982.
DOI : 10.2514/3.7955

G. Patel, W. Rodi, and E. G. Scheuerer, Turbulence models for near-wall and low Reynolds number flows - A review, AIAA Journal, vol.23, issue.9, pp.1308-1319, 1985.
DOI : 10.2514/3.9086

A. J. Paullay, R. Melnik, A. Rubel, S. Rudman, and M. J. Siclari, Similarity Solutions for Plane and Radial Jets Using a k-?? Turbulence Model, Journal of Fluids Engineering, vol.107, issue.1, pp.79-85, 1985.
DOI : 10.1115/1.3242445

O. M. Phillips, The irrotational motion outside a free turbulent boundary, Proceedings of the Cambridge Philosophical Society, 1955.
DOI : 10.1017/S0305004100030073

S. B. Pope, An explanation of the turbulent round-jet/plane-jet anomaly, AIAA Journal, vol.16, issue.3, pp.279-281, 1978.
DOI : 10.2514/3.7521

S. B. Pope, PDF methods for turbulent reactive flows, Progress in Energy and Combustion Science, vol.11, issue.2, pp.119-192, 1985.
DOI : 10.1016/0360-1285(85)90002-4

S. B. Pope, On the relationship between stochastic Lagrangian models of turbulence and second???moment closures, Physics of Fluids, vol.6, issue.2, pp.973-985, 1994.
DOI : 10.1063/1.868329

S. B. Pope, Turbulent Flows, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00338511

R. O. Prasad and H. A. Hassan, An evaluation of the two-equation k-L model for simple shear flows, 36th AIAA Aerospace Sciences Meeting and Exhibit, 1998.
DOI : 10.2514/6.1998-321

W. C. Reynolds and S. C. Kassinos, One-Point Modelling of Rapidly Deformed Homogeneous Turbulence, Proc
DOI : 10.1098/rspa.1995.0118

R. Soc, . Lond, and . Éd, Osborne Reynolds Centenary Volume, pp.87-104, 1995.

M. M. Rogers and R. D. Moser, Direct simulation of a self???similar turbulent mixing layer, Physics of Fluids, vol.6, issue.2, pp.903-923, 1994.
DOI : 10.1063/1.868325

J. C. Rotta, Statistiche Theorie Nichthomogener Turbulentz, Z. Phys, pp.129-547, 1951.

A. E. Samuel and P. M. Joubert, A boundary layer developing in an increasingly adverse pressure gradient, Journal of Fluid Mechanics, vol.5, issue.03, pp.481-505, 1974.
DOI : 10.1017/S0022112074000322

U. Schumann, Realizability of Reynolds-stress turbulence models, Physics of Fluids, vol.20, issue.5, pp.721-725, 1977.
DOI : 10.1063/1.861942

T. H. Shih, A. Shabbir, and J. L. Lumley, Realisability in second moment turbulence closures revisited, NASA Technical Memorandum 106469, 1994.

P. E. Skåre and P. A. Krogstad, A turbulent equilibrium boundary layer near separation, Journal of Fluid Mechanics, vol.17, issue.-1, pp.319-348, 1994.
DOI : 10.1002/fld.1650090806

B. R. Smith, The k-kl turbulence model and wall layer model for compressible flows, 21st Fluid Dynamics, Plasma Dynamics and Lasers Conference, 1990.
DOI : 10.2514/6.1990-1483

B. R. Smith, A near wall model for the k - l two equation turbulence model, Fluid Dynamics Conference, 1994.
DOI : 10.2514/6.1994-2386

R. W. Smith and A. J. Smits, Flate plate, zero-pressure-gradient turbulent boundary layer, In A selection of Test Cases fot the Validation of Large-Eddy Simulations, AGARD Advisory Report, vol.345, pp.161-162, 1998.

R. M. So, H. S. Zhang, and C. G. Speziale, Near-wall modeling of the dissipation rate equation, AIAA Journal, vol.29, issue.12, pp.2069-2076, 1991.
DOI : 10.2514/3.10843

P. R. Spalart, Direct simulation of a turbulent boundary layer up to R ?? = 1410, Journal of Fluid Mechanics, vol.172, issue.-1, pp.61-98, 1988.
DOI : 10.1146/annurev.fl.16.010184.000531

P. R. Spalart and S. R. Allmaras, A one-equation turbulence model for aerodynamic flows AIAA Paper 92-0439, 30 th Aerospace Sciences Meeting and Exhibit, 1992.

P. R. Spalart and S. R. Allmaras, A one-equation turbulence model for aerodynamic flows, 30th Aerospace Sciences Meeting and Exhibit, pp.5-21, 1994.
DOI : 10.2514/6.1992-439

C. G. Speziale, S. Sarkar, and T. B. Gatski, Modelling the pressure???strain correlation of turbulence: an invariant dynamical systems approach, Journal of Fluid Mechanics, vol.45, issue.-1, pp.245-272, 1991.
DOI : 10.1063/1.857575

K. R. Sreenivasan, The utility of dynamical systems approaches, In Wither Turbulence ? Turbulence at crossrads , Lectures notes in, Physics, vol.357, pp.269-291, 1990.

R. W. Stewart, Irrotational motion associated with free turbulent flows, Journal of Fluid Mechanics, vol.51, issue.06, 1957.
DOI : 10.1017/S0022112056000391

D. B. Taulbee, An improved algebraic Reynolds stress model and corresponding non-linear stress model, The Physics of Fluids A, pp.2555-2561, 1992.

H. Tennekes, Lecture notes on turbulence, World Scientific, pp.20-36, 1989.

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

P. R. Van-slooten, S. B. Jayesh, and . Pope, Advances in PDF modeling for inhomogeneous turbulent flows, Physics of Fluids, vol.10, issue.1, pp.246-263, 1997.
DOI : 10.1063/1.869564

P. R. Van-slooten and S. B. Pope, PDF modeling for inhomogeneous turbulence with exact representation of rapid distortions, Physics of Fluids, vol.9, issue.4, pp.1085-1105, 1997.
DOI : 10.1063/1.869195

G. N. Vanderplaats, Numerical Optimization Techniques for Engineering Design with Applications, 1984.

D. C. Wilcox, Reassesment of scale-determining equation for advanced turbulence models, AIAA Journal, vol.2, issue.11, p.6, 1988.

M. Wolfshtein, On the length scale of turbulence equation, of Proc XII Israel Ann. Conf. AVIATION and ASTRONAUTICS, pp.87-99, 1970.

I. Wygnanski and H. E. Fiedler, Some mesurements in the self-preserving jet, Journal of Fluid Mechanics, vol.3, issue.8, p.549, 1969.

I. Wygnanski and H. E. Fiedler, The two-dimensional mixing region, Journal of Fluid Mechanics, vol.88, issue.02, pp.327-361, 1970.
DOI : 10.1017/S0022112070000630

K. S. Yajnik, Asymptotic theory of turbulent shear flows, Journal of Fluid Mechanics, vol.30, issue.02, pp.411-427, 1970.
DOI : 10.1017/S0022112067001740