Modelling turbulent separated flow in the context of aerodynamic applications

Fluid Dynamics Research

Volumn 38, Issue 2-3, 2006, Pages 174-210

  Leschziner, M A ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Aerodynamic separated flow; Computational fluid dynamics; Curved surfaces; Non linear eddy viscosity models; Reynolds stress models; Turbulence modelling

Indexed keywords

AERODYNAMICS; ANISOTROPY; COMPUTATIONAL FLUID DYNAMICS; MATHEMATICAL MODELS; REYNOLDS NUMBER; VISCOSITY;

AERODYNAMIC SEPARATED FLOW; CURVED SURFACES; NONLINEAR EDDY-VISCOSITY MODELS; REYNOLDS-STRESS MODELS; TURBULENCE MODELLING;

TURBULENT FLOW;

AERODYNAMICS; ANISOTROPY; COMPUTATIONAL FLUID DYNAMICS; MATHEMATICAL MODELS; REYNOLDS NUMBER; TURBULENT FLOW; VISCOSITY;

EID: 33644809248     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fluiddyn.2004.11.004     Document Type: Article

References (159)

1. K. Abe Y.-J. Jang M.A. Leschziner An investigation of wall-anisotropy expressions and length-scale equations for non-linear eddy-viscosity models Int. J. Heat Fluid Flow 24 2003 181-198
2. R. Abid C. Rumsey T.B. Gatski Prediction of non-equilibrium turbulent flows with explicit algebraic stress models AIAA J. 33 1995 2026-2031
3. R. Abid J.H. Morrison T.B. Gatski C.G. Speziale Prediction of aerodynamic flows with a new explicit algebraic stress model AIAA J. 34 1996 2632-2635
4. D.D. Apsley M.A. Leschziner A new low-Reynolds-number nonlinear two-equation turbulence model for complex flows Int. J. Heat Fluid Flow 19 1998 209-222
5. D.D. Apsley M.A. Leschziner Advanced turbulence modelling of separated flow in a diffuser Flow, Turbulence Combustion 63 2000 81-112
6. Apsley, D.D., Leschziner, M.A., 2001. Investigation of advanced turbulence models for the flow in a generic wing-body junction. Flow, Turbulence Combustion 67, 25-55.
7. B. Aupoix G.A. Blaisdell W.C. Reynolds O. Zeman Modelling the turbulent kinetic energy equation for compressible homogeneous turbulence AIAA J. 24 1986 437-443
8. W.D. Bachalo D.A. Johnson Transonic turbulent boundary layer separation generated on an axisymmetric flow model AIAA J. 24 1986 437-443
9. G. Barakos D. Drikakis Assessment of various low-Re turbulence models in shock boundary layer interaction Comput. Methods Appl. Mech. Eng. 160 1998 155-174
10. G. Barakos D. Drikakis W. Lefebre Improvement to numerical predictions of aerodynamic flows using experimental data assimilation J. Aircr. 36 3 1999 611-614
11. Barberis, D., Molton, P., 1995. Shock wave-turbulent boundary layer interaction in a three-dimensional flow. AIAA Paper 95-0227.
12. Bardina, J.E., Huang, P.G., Coakley, T.J., 1997. Turbulence modelling validation. AIAA Paper 97-2121.
13. P. Batten T.J. Craft M.A. Leschziner H. Loyau Reynolds-stress-transport modelling for compressible aerodynamic flows AIAA J. 37 1999 785-796
14. R. Benay P. Servel Two-equation k - σ turbulence model: application to supersonic base flow AIAA J. 39 2001 407-416
15. R. Benay M.C. Coet J. Delery A study of turbulence modelling in transonic shock-wave/boundary-layer interactions Proceedings of the 6th Symposium on Turbulent Shear Flows 1987 Toulouse 8.2.1-8.2.6
16. P. Bradshaw D.H. Ferris N.P. Atwell Calculation of boundary layer development using the turbulent energy equation J. Fluid Mech. 23 1967 31-64
17. C. Cambon J.F. Scott Linear and nonlinear models of anisotropic turbulence Ann. Rev. Fluid Mech. 31 1999 1-53
18. C.F. Chenault P.S. Beran K-e and Reynolds stress turbulence model comparisons for two-dimensional injection flows AIAA J. 36 1998 1401-1412
19. C.F. Chenault P.S. Beran R.D.W. Bowersox Numerical investigation of supersonic injection using a Reynolds-stress turbulence model AIAA J. 37 1999 1257-1269
20. K.Y. Chien Predictions of channel and boundary-layer flows with a low-Reynolds-number turbulence model AIAA J. 20 1 1982 33-38
21. Coakley, T.J., Huang, P.G., 1992. Turbulence modelling for high speed flows. AIAA Paper 92-0436.
22. D. Coles A.J. Wadcock Flying hot-wire study of flow past a NACA 4412 airfoil at maximum lift AIAA J. 17 1979 321-328
23. Cook, P.H., McDonald, M.A., Firmin, M.C.P., 1979. Aerofoil 2822-Pressure distributions, boundary layer and wake measurements. AGARD AR-138.
24. T. Coratekin A. Schubert J. Ballmann Assessment of eddy-viscosity models in 2D and 3D shock/boundary-layer interactions W. Rodi D. Laurence Engineering Turbulence Modelling and Experiments vol. 4 1999 Elsevier Amsterdam 649-658
25. T.J. Craft Developments in a low-Reynolds-number second-moment closure and its application to separating and reattaching flows Int. J. Heat Fluid Flow 19 1998 541-548
26. T.J. Craft B.E. Launder A Reynolds stress closure designed for complex geometries Int. J. Heat Fluid Flow 17 1996 245
27. T.J. Craft L.J.W. Graham B.E. Launder Impinging jet studies for turbulence model assessment-II. An examination of the performance of four turbulence models Int. J. Heat Mass Transfer 36 1993 2685
28. T.J. Craft B.E. Launder K. Suga Development and application of a cubic eddy-viscosity model of turbulence Int. J. Num. Methods Fluids 17 1996 108-115
29. B.J. Daly F.H. Harlow Transport equations in turbulence Phys. Fluids 13 1970 2634-2649
30. Davidson, L., Cokljat, D., Froelich, J., Leschziner, M.A., Mellen, C., Rodi, W. (Eds.), 2003. LESFOIL: Large Eddy Simulation of Flow a High-Lift Airfoil, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 83, Springer, Berlin.
31. A.O. Demuren S. Sarkar Perspective: Systematic study of Reynolds-stress closure models in the computation of plane channel flows ASME J. Fluids Eng. 115 1993 5-12
32. D.S. Dolling High-speed turbulent separated flows: Consistency of mathematical models and flow physics AIAA J. 36 1998 725-732
33. Drikakis, D., Barakos, G., 2000. Numerical developments in unsteady aerodynamic flows, CD-Rom Proceedings of the ECCOMAS Conference, Forum: CFD in Aeronautics, Industrial Technology Session, EU, Barcelona.
34. Driver, D.M., 1991. Reynolds shear stress measurements in a separated boundary layer. AIAA Paper 91-1787.
35. P.A. Durbin A Reynolds stress model for near-wall turbulence J. Fluid Mech. 249 1993 465
36. 2 model AIAA J. 33 1995 659-664
37. J.A. Ekaterinaris F.R. Menter Computation of oscillating airfoil flows with one- and two-equation turbulence models AIAA J. 32 1994 2359-2365
38. El Baz, A.M., Launder, B.E., 1993. Second-moment modelling of compressible mixing layers. Engineering Turbulence Modelling and Experiments, vol. 3, Elsevier, Amsterdam, pp. 63-70.
39. G. Fauchet L. Sho R. Wunenberger J.P. Bertoglio An improved two-point closure for weakly compressible turbulence and comparison with large-eddy simulations Appl. Sci. Res. 57 1997 165-194
40. J.L. Fleming R.L. Simpson J.E. Cowling W.J. Devenport An experimental study of wing-body junction and wake flow Exp. Fluids 14 1993 366-378
41. Fu, S., Launder, B.E., Tselepidakis, D.P., 1987a. Accommodating the effects of high strain rates in modelling the pressure-strain correlation. Report TFD/87/5 Mechanical Engineering Department, UMIST, Manchester.
42. S. Fu M.A. Leschziner B.E. Launder Modelling strongly swirling recirculating jet flow with Reynolds-stress transport closure Proceedings of the Sixth Symposium on Turbulent Shear Flow 1987 Toulouse 17.6.1-17.6.6
43. Fu, S., Huang, P.G., Launder, B.E., Leschziner, M.A., 1988. A comparison of algebraic and differential second-moment closures for axisymmetric turbulent shear flows with and without swirl. ASME J. Fluids Eng. 110, 216-222.
44. T.B. Gatski C.G. Speziale On explicit algebraic stress models for complex turbulent flows J. Fluid Mech. 254 1993 59-78
45. G.A. Gerolymos I. Vallet Implicit computation of three-dimensional compressible Navier-Stokes equations using k - ε closure AIAA J. 34 1996 1321-1330
46. G.A. Gerolymos I. Vallet Near-wall Reynolds-stress three-dimensional transonic flow computation AIAA J. 35 1997 228-236
47. M.M. Gibson A.A. Dafa'Alla Two-equation model for turbulent wall flow AIAA J. 33 1995 1514-1518
48. M.M. Gibson B.E. Launder Ground effects on pressure fluctuations in the atmospheric boundary layer J. Fluid Mech. 86 1978 491
49. N. Gilbert L. Kleiser Turbulence model testing with the aid of direct numerical simulation results Proceedings of the Eighth Symposium on Turbulent Shear Flows 1991 Munich 26.1.1-26.1.6
50. Girimaji, S.S., 1997. A Galilean invariant explicit algebraic Reynolds stress model for turbulent curved flows. Phys. Fluids 1067-1077.
51. U.C. Goldberg Towards a pointwise turbulence model for wall-bounded and free shear flows ASME J. Fluids Eng. 116 1994 72
52. Haase, W., Brandsma, F., Elsholz, E., Leschziner, M.A., Schwamborn, D. (Eds.), 1993. EUROVAL-A European Initiative on Validation of CFD Codes-Results of the EC/BRITE-EURAM Project EUROVAL, 1990-1992, Notes on Numerical Fluid Mechanics, vol. 42, Vieweg, Brsunschweig.
53. Haase, W., Chaput, E., Elsholz, E., Leschziner, M.A., Müller, U.R. (Eds.), 1996. ECARP: European Computational Aerodynamics Research Project. II: Validation of CFD Codes and Assessment of Turbulent Models, Notes on Numerical Fluid Mechanics, vol. 58, Vieweg, Brsunschweig.
54. F.A. Haidinger R. Friedrich Computation of shock wave/boundary layer interactions using a two-equation model with compressibility corrections Appl. Sci. Res. 51 1993 501-505
55. F.A. Haidinger R. Friedrich Numerical simulation of strong shock/ turbulent boundary layer interaction using a Reynolds stress model Z. Flugwiss. Weltraumforschung 19 1995 10-18
56. M. Hallbaeck A. Groth A.V. Johansson Anisotropic dissipation rate-implications for Reynolds-stress models A.V. Johansson P.H. Alfredson Advances in Turbulence 1991 Springer Berlin 414-421
57. K. Hanjalić Advanced turbulence closure models: A view of current status and future prospects Int. J. Heat Fluid Flow 15 1994 178-203
58. K. Hanjalić S. Jakirlić A model of stress dissipation in second moment closures Appl. Sci. Res. 51 1993 513-518
59. K. Hanjalić B.E. Launder A Reynolds stress model and its application to thin shear flows J. Fluid Mech. 52 1972 609-638
60. Hasan, R.G.M., McGuirk, J.J., Apsley, D.D., Leschziner, M.A., 2001. A turbulence model study of separated 3D jet/afterbody flow. Aeronaut. J. Paper 2760.
61. G.H. Hoffman Improved form of low Reynolds-number k - ε turbulence model Phys. Fluids 18 1975 309-312
62. Huang, P.G., 1990. Modelling hypersonic boundary layers with second moment closure. CTR, University of Stanford, Ann. Res. Briefs, 1-13.
63. Huang, P.G., 1997. Validation of turbulence model-uncertainties and measures to reduce them. Proceedings of the ASME FED Summer Meeting, June 22-26.
64. P.G. Huang T.J. Coakley Modelling hypersonic flows with second-moment closure R.M.C. So C.G. Speziale B.E. Launder Near-Wall Turbulent Flows 1993 Elsevier Amsterdam 199-208
65. P.G. Huang P. Bradshaw T.J. Coakley Turbulence models for compressible boundary-layers AIAA J. 32 1994 735-740
66. P.G. Huang G.N. Coleman P. Bradshaw Compressible turbulent channel flows-DNS results and modelling J. Fluid Mech. 305 1995 185-218
67. Ince, N.Z., Betts, P.L., Launder, B.E., 1994. Low Reynolds number modelling of turbulent buoyant flows. In: Henkes, R.A.W.M., Hoogendoorn, C.J. (Eds.), Proceedings of the EUROTHERM Seminar, vol. 22, Turbulent Natural Convection in Cavities, Delft, Editions européenes Thermique et Industrie, Paris, p. 76.
68. Jakirlić, S., 1997. Reynolds-spannungs-modellierung komplexer turbulenter Stroemungen. Ph.D. Thesis, University of Erlangen-Nuernberg.
69. S. Jakirlić K. Hanjalić A second-moment closure for non-equilibrium and separating high- and low-Re-number flows Proceedings of the 10th Symposium on Turbulent Shear Flows 1995 Pennsylvania State University 23.25
70. Y.-J. Jang M.A. Leschziner K. Abe L. Temmerman Investigation of anisotropy resolving turbulence models by reference to highly-resolved LES data for separated flow Flow, Turb. Combust. 69 2002 161-203
71. M.C. Johansson J. Knoell D.B. Taulbee Nonlinear stress-strain model accounting for dissipation anisotropies AIAA J. 38 2000 2187-2189
72. W.P. Jones B.E. Launder The prediction of laminarization with a two-equation model of turbulence Int. J. Heat Mass Transfer 15 1972 301-314
73. T. Jongen T.B. Gatski General explicit algebraic stress relations and best approximation for three-dimensional flows Int. J. Eng. Sci. 36 1998 739-763
74. Kalitzin, G., Gould, A.R.B., Benton, J.J., 1996. Application of two-equation turbulence models in aircraft design. AIAA Paper 96-0327.
75. S.C. Kassinos C.A. Langer S.L. Haire W.C. Reynolds Structure-based modelling for wall-bounded flows Int. J. Heat Fluid Flow 21 2000 599-605
76. Kawamura, H., Kawashima, N., 1994. A proposal for a k - ε model with relevance to the near-wall turbulence. Paper IP.1, Proceedings of the International Symposium on Turbulence, Heat and Mass Transfer, Lisbon.
77. C.K.G. Lam K. Bremhorst A modified form of the k - ε model for predicting wall turbulence J. Fluids Eng. 103 1981 456-460
78. B.E. Launder W.C. Reynolds Asymptotic near-wall stress dissipation rates in turbulent flow Phys. Fluids 26 1983 1157
79. B.E. Launder B.I. Sharma Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc Lett. Heat Mass Transfer 1 1974 131
80. B.E. Launder N. Shima Second-moment closure for the near-wall sublayer AIAA J. 27 1989 1319-1325
81. B.E. Launder D.P. Tselepidakis Contribution to the modelling of near-wall turbulence F. Durst et. al. Turbulent Shear Flows vol. 8 1993 Springer Berlin 81
82. B.E. Launder G.J. Reece W. Rodi Progress in the development of Reynolds-stress turbulence closure J. Fluid Mech. 68 1975 537-566
83. B.E. Launder C.H. Priddin B. Sharma The calculation of turbulent boundary layers on curved and spinning surfaces ASME J. Fluids Eng. 98 1977 753
84. M.A. Leschziner K.P. Dimitriadis G. Page Computational modelling of shock wave/boundary layer interaction with a cell-vertex scheme and transport models of turbulence Aeronaut. J. 97 1993 43-61
85. M.A. Leschziner P. Batten H. Loyau Modelling shock-affected near-wall flows with anisotropy-resolving turbulence closures Int. J. Heat Fluid Flow 21 2000 239-251
86. Leschziner, M.A., Loyau, H., Apsley, D.D., 2000b. Prediction of shock/ boundary-layer interaction with non-linear eddy-viscosity models. CDROM Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering, CDR Proceedings ECCOMAS 2000, Barcelona.
87. M.A. Leschziner P. Batten T.J. Craft Reynolds-stress modelling of afterbody flows Aeronaut. J. 105 2001 297-306
88. 2 modelling with application to high-lift Proceedings of the Summer Program Centre for Turbulence Research 1996 Stanford University 5-22
89. F.S. Lien M.A. Leschziner A pressure-velocity solution strategy for compressible flow and its application to shock/boundary-layer interaction using second-moment turbulence closure J. Fluids Eng. 115 1993 717-725
90. Lien, F.S., Leschziner, M.A., 1994. Modelling the flow in a transition duct with a non-orthogonal FV procedure and low-Re turbulence-transport models. Proceedings of the ASME FED Summer Meeting, Symposium on Advances in Computational Methods in Fluid Dynamics, pp. 93-106.
91. F.S. Lien M.A. Leschziner Modelling 2D separation from high-lift aerofoil with non-linear eddy-viscosity model and second-moment closure Aeronaut. J. 99 1995 125-144
92. F.S. Lien M.A. Leschziner Computational modelling of separated flow around streamlined body at high incidence Aeronaut. J. 101 1997 269-275
93. F.S. Lien W.L. Chen M.A. Leschziner Low-Reynolds-number eddy-viscosity modelling based on non-linear stress-strain/vorticity relations W. Rodi G. Bergeles Engineering Turbulence Modelling and Measurements vol. 3 1996 Elsevier Amsterdam 91-100
94. W.W. Liou G. Huang T.-H. Shih Turbulence model assessment for shock wave/ turbulent boundary-layer interaction in transonic and supersonic flow Comput. Fluids 29 2000 275-299
95. H. Loyau P. Batten M.A. Leschziner Modeling shock/boundary-layer interaction with nonlinear eddy-viscosity closures Flow, Turb. Combust. 60 1998 257-282
96. J.L. Lumley Computational modelling of turbulent flows Adv. Appl. Mech. 18 1978 123-176
97. J.G. Marvin P.G. Huang Turbulence modelling-progress and future outlook Proceedings of the 15th Conference on Numerical Methods in Fluid Dynamics 1996 Monterey California
98. Meier, H.U., Kreplin, H.P., Landhauser, A., Baumgarten D., 1984. Mean velocity distribution in 3D boundary layers developing on a 1:6 prolate spheroid with artificial transition. DFVLR Report IB 222-84 A11.
99. F.R. Menter Influence of freestream values on k - ω turbulence model predictions AIAA J. 30 1992 1657-1659
100. F.R. Menter Performance of popular turbulence models for attached and separated adverse pressure gradient flows AIAA J. 30 1992 2066-2072
101. F.R. Menter Two equation eddy viscosity turbulence models for engineering applications AIAA J. 32 1994 1598-1605
102. F.R. Menter Eddy viscosity transport equations and their relation to the k - ε model ASME J. Fluids Eng. 119 1997 876-884
103. J.H. Morrison T.B. Gatski T.P. Sommer R.M.C. So Evaluation of a near-wall turbulent closure model in predicting compressible ramp flows R.M.C. So C.G. Speziale B.E. Launder Near-Wall Turbulent Flows 1993 Elsevier Amsterdam 239-250
104. H.K. Myong N. Kasagi A new approach to the improvement of k - ε turbulence model for wall bounded shear flows JSME Int. J. II 33 1990 63-72
105. Y. Nagano M. Hishida Improved form of the k - ε model for turbulent shear flows Trans. of ASME. 109 1987 156
106. M. Oberlack Non-isotropic dissipation in non-homogeneous turbulence J. Fluid Mech. 350 1997 351-374
107. S. Obi K. Aoki S. Masuda Experimental and computational study of turbulent separated flow in an asymmetric diffuser Proceedings of the Ninth Symposium on Turbulent Shear Flows 1993 Kyoto 305-307
108. S.A. Orszag V. Yakhot W.S. Flannery F. Boysan D. Choudhury J. Maruzewski B. Patel Renormalisation group modelling and turbulence simulations R.M.C. So C.G. Speziale B.E. Launder Near-Wall Turbulent Flows 1993 Elsevier Amsterdam 1031-1046
109. S. Parneix P.A. Durbin M. Behnia Computation of 3-D turbulent boundary layers using the V2F model Flow, Turb. Combust. 60 1998 19-46
110. D.G. Pfunderer C. Eifert J. Janicka Nonlinear second moment closure consistent with shear and strain flows AIAA J. 35 1997 825-831
111. Piccin, O., Cassoudesalle, D., 1987. Etude dans la soufflerie F1 des profils AS239 et AS240. ONERA Technical Report, PV 73/1685 AYG.
112. S.B. Pope A more general effective-viscosity hypothesis J. Fluid Mech. 72 1975 331-340
113. Putnam, L.E., Mercer, C.E., 1986. Pitot-pressure measurements in flow fields behind a rectangular nozzle with exhaust jet for free-stream Mach numbers of 0, 0.6 and 1.2. NASA TM 88990.
114. D.F. Robinson H.A. Hasan Further developments of the k - ζ (enstrophy) turbulence closure model AIAA J. 36 1998 1825-1833
115. W. Rodi A new algebraic relation for calculating the Reynolds stresses Z. Angew. Math. Mech. 56 1976 219-221
116. W. Rodi Influence of buoyancy and rotation on equations for the turbulent length scale Proceedings of the Second Symposium on Turbulent Shear Flows 1979 London 10.37-10.42
117. W. Rodi G. Scheuerer Calculation of curved shear layers with two-equation turbulence models Phys. Fluids 26 1983 1422
118. J.C. Rotta Statistische Theory nichhomogener Turbulenz Z. Physik 129 1951 547
119. R. Rubinstein J.M. Barton Non-linear Reynolds stress models and the renormalisation group Phys. Fluids A 2 1990 1472-1476
120. Rumsey, C.L., Gatsky, T.L., Morrison, J.H., 1999. Turbulence model predictions of extra strain rate effects in strongly curved flows. AIAA Paper 99-157.
121. T. Rung S. Fu F. Thiele On the realisability of non-linear stress-strain relation for Reynolds-stress closures Flow, Turb. Combust. 60 1999 333-359
122. T. Rung H. Luebke M. Franke L. Xue F. Thiele S. Fu Assessment of explicit algebraic stress models in transonic flows W. Rodi D. Laurence Engineering Turbulence Modelling and Experiments vol. 4 1999 Elsevier Amsterdam 659-668
123. P.G. Saffman Results of a two-equation model for turbulent and development of a relaxation stress model for application to straining and rotating flows S. Murthy Proceedings of the Project SQUID Workshop on Turbulence in Internal Flows 1977 Hemisphere Press Washington, DC 191-231
124. S. Sarkar The pressure-dilatation correlation in compressible flows Phys. Fluid 282 1992 163-186
125. S. Sarkar G. Erlebacher M.Y. Hussaini H.O. Kreiss The analysis and modelling of dilatational terms in compressible turbulence J. Fluid Mech. 227 1991 473-493
126. R. Schiestel Multiple time scale modelling of turbulent flows in one point closures Phys. Fluids. 30 1987 722
127. Schmitt, V., Charpin, F., 1979. Pressure distributions on the ONERA M6 wing at transonic Mach numbers. AGARD AR-138.
128. Shih, T.H., Lumley, J.L., 1985. Modelling of pressure correlation terms in Reynolds-stress and scalar-flux equations. Report FDA-85-3, Sibley School of Mechanics and Aerospace Engineering, Cornell University.
129. Shih, T.-H., Zhu, J., Lumley, J.L., 1993. A realisable Reynolds stress algebraic equation model. NASA TM105993.
130. N. Shima A Reynolds-stress model for near-wall and low-Reynolds-number regions ASME J. Fluids Eng. 110 1988 38-44
131. R.L. Simpson C.H. Long G. Byun Study of vortical separation from an axisymmetric hill Int. J. Heat Fluid Flow 23 2002 582-591
132. R.M.C. So Y.G. Lai H.S. Zhang B.C. Hwang Second-order near-wall turbulence closures: A review AIAA J. 29 1991 1819-1835
133. R.M.C. So H.S. Zhang C.G. Speziale Near-wall modelling of the dissipation rate equation AIAA J. 29 1991 2069-2076
134. Spalart P.R., Allmaras, S.R., 1992. A one-equation turbulence model for aerodynamic flows. AIAA Paper 92-0439.
135. Spalart, P.R., Jou, W.-J., Strelets, M., Allmaras, S.R., 1997. Comments on the feasibility of LES for wings and on the hybrid RANS/LES approach. Advances in DNS/LES, First AFOSR International Conference on DNS/LES, Greden Press.
136. C.G. Speziale On nonlinear K-l and K- ε models of turbulence J. Fluid Mech. 178 1987 459-475
137. C.G. Speziale S. Sarkar T.B. Gatski Modelling the pressure-strain correlation of turbulence: An invariant dynamical systems approach J. Fluid Mech. 227 1991 245
138. C.G. Speziale R. Abid E.C. Anderson Critical evaluation of two-equation models for near-wall turbulence AIAA J. 30 1992 324-331
139. Srinivasan, G.R., Ekaterinaris, J.A., McCroskey, W.J., 1993. Dynamic stall of an oscillating wing, part 1: Evaluation of turbulence models. AIAA Paper 93-3403.
140. D.B. Taulbee J.R. Sonnenmeier K.M. Wall Application of a new non-linear stress-strain model to axisymmetric turbulent swirling flows W. Rodi F. Martelli Engineering Turbulence Modelling and Experiments vol. 2 1993 Elsevier Amsterdam 103-112
141. L. Temmerman M. Leschziner C. Mellen J. Froehlich Investigation of subgrid-scale models and wall-function approximations in Large Eddy Simulation of separated flow in a channel with streamwise periodic constrictions Int. J. Heat Fluid Flow 24 2003 157-180
142. Temmerman, L., Chen, W., Leschziner, M.A., 2004. A comparative study of separation from a three-dimensional hill using LES and second-moment-closure RANS modeling, fourth European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, Jyvaskyla, Finnland (CDR proceedings).
143. D. Vandromme H. Haminh Physical analysis for turbulent boundary-layer/ shock-wave interactions using second-moment closure predictions J. Delery Turbulent Shear-Layer/Shock-Wave Interactions 1985 Springer Berlin 127-136
144. S. Wallin A.V. Johansson A new explicit algebraic Reynolds stress turbulence model for 3D flows F. Durst et. al. Proceedings of the 11th Symposium on Turbulent Shear Flows 1997 Grenoble 13.13-13.17
145. S. Wallin A.V. Johansson An explicit algebraic Reynolds stress model for incompressible and compressible turbulent flows J. Fluid Mech. 403 2000 89-132
146. S. Wallin A.V. Johansson Modelling of streamline curvature effects on turbulence in explicit algebraic Reynolds stress turbulence models Proceedings of the Second International Symposium on Turbulence and Shear Flow Phenomena 2001 Stockholm 223-228
147. Wang, C., Jang, Y.J., Leschziner, M.A., 2004. Modelling two- and three-dimensional separation from curved surfaces with anisotropy-resolving turbulence closures. Int. J Heat and Fluid Flow 25, 499-512.
148. D.C. Wilcox Multi-scale model for turbulent flows AIAA J. 26 1988 1311-1320
149. D.C. Wilcox Reassessment of the scale-determining equation for advanced turbulence models AIAA J. 26 1988 1299-1310
150. D.C. Wilcox Turbulence Modelling for CFD 1993 DCW Industries La Canada, California
151. D.C. Wilcox Simulation transition with a two-equation turbulence model AIAA J. 32 1994 247-255
152. Wilcox, D.C., Rubesin, M.W., 1980. Progress in turbulence modelling for complex flow field including effects of compressibility. NASA TP1517.
153. X.-H. Xu C.G. Speziale Explicit algebraic stress model of turbulence with anisotropic dissipation AIAA J. 34 1996 2186-2189
154. Yap, C.R., 1987. Turbulent heat and momentum transfer in recirculating and impinging flows. Ph.D. Thesis, University of Manchester.
155. A. Yoshizawa Statistical analysis of the derivation of the Reynolds stress from its eddy-viscosity representation Phys. Fluids 27 1987 1377-1387
156. B.A. Younis T.B. Gatski C.G. Speziale Towards a rational model for the triple velocity correlations of turbulence Proc. R. Soc. London A 456 2000 909-920
157. O. Zeman Dilatation dissipation: The concept and application in modelling compressible mixing layers Phys. Fluids 2 1990 178-188
158. Zeman, O., 1993. New model for super/hypersonic turbulent boundary layers. AIAA Paper 93-0897.
159. G. Zhou L. Davidson E. Olsson Turbulent transonic airfoil flow simulation using a pressure-based algorithm AIAA J. 33 1995 42-47