Turbulence modeling — Progress and future outlook

  • Joseph G. Marvin
  • George P. Huang
Invited Lectures
Part of the Lecture Notes in Physics book series (LNP, volume 490)


Progress in the development of the hierarchy of turbulence models for Reynolds-averaged Navier-Stokes codes used in aerodynamic applications is reviewed. Steady progress is demonstrated, but transfer of the modeling technology has not kept pace with the development and demands of the CFD tools. An examination of the process of model development leads to recommendations for a mid-course correction involving close coordination between modelers, CFD developers and application engineers. In instances where the old process is changed and cooperation enhanced, timely transfer is realized. A turbulence modeling information data base is proposed to refine the process and open it to greater participation among modeling and CFD practitioners.


Skin Friction Adverse Pressure Gradient Skin Friction Coefficient Application Code Eddy Viscosity Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Kline, S. J., Markovin, M. V., Sovran, G. and Cockrell, D. J., editors, Proceeding of Computation of Turbulent Boundary Layers — 1968 AFOSR-IFP-Stanford Conference, Vol. 1 & 2, Thermoscience Division, Dept. of Mech. Engrg, Stanford University, 1969.Google Scholar
  2. 2.
    Bertram, M. H., editor, Compressible Turbulent Boundary Layers, NASA SP-216, 1969.Google Scholar
  3. 3.
    Free Turbulent Shear Flows, Vol. 1 & 2, NASA SP-321, 1973.Google Scholar
  4. 4.
    Kline, S. J., Cantwell, B. J. and Lilley, G. M., editors, Proceeding of the 1980–1981 AFOSR-HTTM-Stanford Conference on Complex Turbulent Flows: Comparison of Computation and Experiment, Vol. 1–3, Thermoscience Division, Dept. of Mech. Engrg, Stanford University, 1981.Google Scholar
  5. 5.
    Bradshaw, P., JFE, in press, 1996.Google Scholar
  6. 6.
    Strazisar, A. J. and Denton, J. D., Global Gas Turbine News, IGTI, May/June, 1995, pp. 12–14.Google Scholar
  7. 7.
    Launder, B. E., Reece, G. J. and Rodi, W., J. Fluid Mech., vol 68, part 3, pp. 537–566, 1975.zbMATHCrossRefADSGoogle Scholar
  8. 8.
    Shih, T.-H. and Lumley, J. L., Tech. Rep. FDA-85-3, Cornell University, 1985.Google Scholar
  9. 9.
    Fu, S., Launder, B. E. and Tselepidakis, D. P., Rep TFD/87/5, Mech. Eng'rg Dept., UMIST, 1987.Google Scholar
  10. 10.
    Speziale, C. G., Sarkar, S. and Gatski, T. B., J. Fluid Mech., Vol. 227, pp. 245–272, 1991.zbMATHCrossRefADSGoogle Scholar
  11. 11.
    Speziale, C. G., Chapter 5, in Simulation and Modeling of Turbulent Flow, Ed. Gatski, T. B., Hussaini, M. Y. and Lumley, J. L, Oxford U. Press, 1996.Google Scholar
  12. 12.
    Gatski, T., Chapter 6, in Handbook of Computational Fluid Mechanics, ed. R. Peyret, Academic Press Ltd, 1996.Google Scholar
  13. 13.
    Leschziner, M. A., XXVI IAHR Congress “Hydra 200”, London, Sept, 1995.Google Scholar
  14. 14.
    Shih, T.-H., NASA CR-198458, 1996.Google Scholar
  15. 15.
    Bradshaw, P., Engineering Foundation Conference on Turbulent Heat Transfer, San Diego, March 10–15, 1996.Google Scholar
  16. 16.
    Pope, S. B., J. Fluid Mech., 72, pp. 331–340, 1975.zbMATHCrossRefADSGoogle Scholar
  17. 17.
    Rodi, W., Z. Angew. Math Mech., 56, T219–T221, 1976.CrossRefGoogle Scholar
  18. 18.
    Gatski, T. B. and Speziale, C. G., J. Fluid Mech., 254, pp. 59–78, 1993.zbMATHCrossRefADSMathSciNetGoogle Scholar
  19. 19.
    Shih, T.-H., Zhu, J. and Lumley, J. L., Comput. Methods Appl. Mech. Engrg, Vol 125, pp. 287–302, 1995.CrossRefGoogle Scholar
  20. 20.
    Craft, T. J., Launder, B. E., and Suga, K., In Proc. 5th Int. Symp. on Refined Flow Modelling and Turbulence Measurements, p. 125, Presses Ponts et Chaussées, Paris, 1993.Google Scholar
  21. 21.
    Menter, F. R., AIAA J., Vol. 32, No. 8, pp.1598–1605, 1994.ADSCrossRefGoogle Scholar
  22. 22.
    Abid, R., Rumsey, C. and Gatski, T, AIAA J., Vol. 33, No. 11, pp. 2026–2031, 1995.zbMATHADSCrossRefGoogle Scholar
  23. 23.
    Abid, R., Rumsey, C. and Gatski, T, AIAA 96-0565, 1996.Google Scholar
  24. 24.
    Coakley, T. J., NASA TM-88333, 1986.Google Scholar
  25. 25.
    Launder, B. E. and Sharma, B. I., Letters in Heat and Mass Transfer, 1, pp. 131–138, 1974.CrossRefADSGoogle Scholar
  26. 26.
    Wilcox, D. C., AIAA J., Vol. 26, No. 11, pp. 1299–1310, 1988.zbMATHADSMathSciNetCrossRefGoogle Scholar
  27. 27.
    Smith, B. R., AIAA-94-2386, 1994.Google Scholar
  28. 28.
    Speziale, C. G., Abid, R. and Anderson, E. C., AIAA J., Vol. 30, No. 2, pp 324–331, 1992.zbMATHADSCrossRefGoogle Scholar
  29. 29.
    Baldwin, B. S. and Barth, T. J., NASA TM 102847, 1990.Google Scholar
  30. 30.
    Spalart, P. R. and Allmaras, S. R., La Recherche Aèrospatiale, 1, pp. 5–21, 1994.Google Scholar
  31. 31.
    Shur, M., Strelets, M., Zaikov, L., Gulyaev, A., Kozlov, V. and Secundov, A., AIAA 95-0863, 1995.Google Scholar
  32. 32.
    Baldwin, B. S. and Lomax, H., AIAA-78-257, 1978.Google Scholar
  33. 33.
    Cebeci, T. and Smith, A. M. O., Analysis of Turbulent Boundary Layer, Series in Appl. Math. & Mech., Vol. XV, Academic Press, 1974.Google Scholar
  34. 34.
    Johnson, D. A. and King, L. S., AIAA J., Vol. 23, No. 11, pp. 1684–1692, 1985.ADSMathSciNetCrossRefGoogle Scholar
  35. 35.
    Johnson, D. A., AIAA J., Vol. 25, No. 2, pp. 252–259, 1987.ADSCrossRefGoogle Scholar
  36. 36.
    Yu, N., AIAA-92-2651, 1992.Google Scholar
  37. 37.
    Launder, B. E. and Spalding, D. B., Comput. Methods in Appl. Mech. Eng., Vol. 3, pp. 269–289, 1974.CrossRefzbMATHGoogle Scholar
  38. 38.
    Chieng, C. C. and Launder, B. E., Numerical Heat Transfer, Vol. 3, pp. 189–207, 1980.ADSCrossRefGoogle Scholar
  39. 39.
    Johnson, R. W. and Launder, B. E., Numerical Heat Transfer, Vol. 5, pp. 493–496.Google Scholar
  40. 40.
    Viegas, J. R. and Rubesin, M. W., AIAA 85-0180, 1985.Google Scholar
  41. 41.
    Huang, P. G. and Coakley, T. J., Engineering Turbulence Modeling and Experiments 2, W. Rodi and F. Martelli, editors, Elsevier Science Publishers B. V., pp. 731–739, 1993.Google Scholar
  42. 42.
    Iacovides, H. and Launder, B. E., ASME 90-GT-24, ASME Int. Gas Turb. Congress, Brussels, 1990.Google Scholar
  43. 43.
    Rodi, W., AIAA-91-0216, 1991.Google Scholar
  44. 44.
    Horstman, C. C., AIAA J., Vol. 30, No. 6, pp. 1480–1481, 1992.ADSCrossRefGoogle Scholar
  45. 45.
    Lien F. S. and Leschziner, M. A., The Aeronautical Journal, 99, pp. 125–144, 1995.Google Scholar
  46. 46.
    Abou Haidar, N. I., Iacovides, H. and Launder, B. E., in 77th Symp. of the Propulsion and Energetics Panel on CFD Techniques for Propulsion applications, San Antonian, TX, 1991.Google Scholar
  47. 47.
    Chien, K. Y., AIAA J., Vol. 20, No. 1, pp. 33–38, 1982.zbMATHADSMathSciNetCrossRefGoogle Scholar
  48. 48.
    Lien F. S. and Leschziner, M. A., Engineering Turbulence Modeling and Experiments 2, W. Rodi and F. Martelli, editors, Elsevier Science Publishers B. V., pp. 217–228, 1993.Google Scholar
  49. 49.
    Durbin, P. A., Theoretical and Computational Fluid Dynamics, Vol. 3, No. 1, pp. 1–13, 1991.zbMATHADSMathSciNetGoogle Scholar
  50. 50.
    Durbin, P. A., AIAA J., Vol. 33, No. 4, pp. 659–664, 1995.ADSCrossRefGoogle Scholar
  51. 51.
    Launder, B. E. and Shima, N., AIAA J., Vol. 27, No. 10, pp. 1319–1325, 1989.ADSCrossRefGoogle Scholar
  52. 52.
    Lai, Y. G. and So, R. M. C., J. Fluid Mechanics, Vol. 221, pp. 641–673, 1990.zbMATHCrossRefADSGoogle Scholar
  53. 53.
    So, R. M. C., Lai, Y. G. and Hwang, B. C., AIAA J., Vol. 29, No. 8, pp. 1202–1213, 1991.ADSCrossRefGoogle Scholar
  54. 54.
    Craft, T. J. and Launder, B. E., Turbulent Shear Flows 10, pp 20–25–20–30, 1995.Google Scholar
  55. 55.
    Jakirlic, S. and Hanjalic, K., Turbulent Shear Flows 10, pp 23–25–23–30, 1995.Google Scholar
  56. 56.
    Durbin, P., J. Fluid Mech., Vol. 249, pp. 465–498, 1993.CrossRefADSGoogle Scholar
  57. 57.
    Huang, P. G., Coleman, G. N. and Bradshaw, P., J. Fluid Mech., Vol. 305, pp. 185–218, 1995.zbMATHCrossRefADSGoogle Scholar
  58. 58.
    Zeman, O., Phys. Fluids A 2(2), pp. 178–188, 1990.CrossRefADSMathSciNetGoogle Scholar
  59. 59.
    Sarkar, S. Erlebacher G., Hussaini, M. Y. and Kreiss, H. O., J. Fluid Mech., Vol. 227, pp. 473–493, 1989.CrossRefADSGoogle Scholar
  60. 60.
    Viegas, J. R. and Rubesin, M. W., AIAA J., Vol. 30, No. 10, pp. 2369–2379, 1992.zbMATHADSCrossRefGoogle Scholar
  61. 61.
    Baz, A. AM. EL and Launder, B. E., Engineering Turbulence Modelling and Experiments (ed W. Rodi and F. Martelli), Elsevier, 1993.Google Scholar
  62. 62.
    Sarkar, S. Erlebacher, G. and Hussaini, M. Y., Turbulent Shear Flows (ed. F. Durst et. al.), Springer, 1992.Google Scholar
  63. 63.
    Zeman, O., AIAA 93-0897, 1993.Google Scholar
  64. 64.
    Huang, P. G., Bradshaw, P. and Coakley, T. J., AIAA J., Vol. 31, pp. 1600–1604, 1993.zbMATHADSCrossRefGoogle Scholar
  65. 65.
    Coakley, T. J. and Huang, P. G., AIAA 92-0436, 1992.Google Scholar
  66. 66.
    Huang, P. G. and Coakley, T. J., AIAA 93-0200, 1993.Google Scholar
  67. 67.
    Bardina, J. E., Huang, P. G. and Coakley, T. J., to appear in a NASA TM, 1996.Google Scholar
  68. 68.
    Menter, F. R., AIAA J., Vol. 30, No. 6, pp. 1657–1659, 1992.ADSCrossRefGoogle Scholar
  69. 69.
    Huang, P. G., Schwarz, W. R. and Bradshaw, P., Internal Report, Dept. of Mech. Engrg., Stanford University, June, 1990.Google Scholar
  70. 70.
    Roger, S. E. and Kwak, D., NASA TM-103911, 1992.Google Scholar
  71. 71.
    Huang, P. G. and Coakley, T. J., AIAA 92-0547, 1992.Google Scholar
  72. 72.
    Driver, D. M., AIAA 91-1787, 1991.Google Scholar
  73. 73.
    Berg, B. van den, Elsenaar, A., Lindhout, J. P. F. and Wesseling, P., JFM 70, 127, 1975ADSCrossRefGoogle Scholar
  74. 74.
    Bradshaw, P. and Pontikos, N. S., JFM, 159, pp. 105–130, 1985.ADSCrossRefGoogle Scholar
  75. 75.
    Bachalo, W. D. and Johnson, D. A., AIAA J., Vol. 24, pp. 437–443, 1986.ADSCrossRefGoogle Scholar
  76. 76.
    Cook, P., Mcdonald, M. and Firmin, M., AGARD AR-138, 1979.Google Scholar
  77. 77.
    Bradshaw, P., in 1980–81 AFOSR-HTTM-Stanford Conference on Complex Turbulent Flows, ed. by S. J. Kline, B. J. Cantwell and G. M. Lilley, Stanford University, Stanford, California, Vol. 1 pp. 364–368, 1981.Google Scholar
  78. 78.
    Davis, D. O. and Gessner, F. B., AIAA J., 30(2), pp. 367–375, 1992.ADSCrossRefGoogle Scholar
  79. 79.
    Johnson, P. L. and Johnston, J. P., Stanford Rept MD-53, 1989.Google Scholar
  80. 80.
    Alving, A.E., Smits, A. J. and Watmuff, J. H. JFM 211, pp. 529–556, 1990.ADSCrossRefGoogle Scholar
  81. 81.
    Driver, D. M. and Seegmiller, H. L., AIAA J., Vol. 23, No. 2, pp. 163–171, 1985.ADSCrossRefGoogle Scholar
  82. 82.
    Mateer, G. G., Seegmiller, H. L., Hand, L. A. and Szodruch, J., NASA TM 103933, 1992.Google Scholar
  83. 83.
    Wideman, J. K., Brown, J. L., Miles, J. B. and Özcan, O., NASA TM 108824, 1994.Google Scholar
  84. 84.
    Rogers, S. E., Menter, F. R., Durbin, P. A. and Mansour, N. N., AIAA-94-0291, 1994.Google Scholar
  85. 85.
    Kern, S. B., AIAA-96-0057, 1996.Google Scholar
  86. 86.
    Marconi, F., Siclari, M., Carpenter, G. and Chow, R., AIAA-94-2237, 1994.Google Scholar

Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • Joseph G. Marvin
    • 1
  • George P. Huang
    • 2
  1. 1.NASA-Ames Research CenterMoffett Field
  2. 2.MCAT Inc.San Jose

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