Modeling Compressibility Effects on Turbulence

  • T. B. Gatski
Conference paper
Part of the Centre de Physique des Houches book series (LHWINTER, volume 5)

Abstract

The goal of this lecture is to present a cohesive overview of compressible turbulence research that is related to the numerical simulation and the predictive modeling of such flows.

Keywords

Combustion Entropy Anisotropy Convection Vorticity 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Favre A., J. Mécanique 4 (3) (1965) 361.Google Scholar
  2. [2]
    Favre A., In “Studies in Turbulence” T. B. Gatski, S. Sarkar, C. G. Speziale, Eds., ( Springer-Verlag, New York, 1991 ), pp. 324–341.Google Scholar
  3. [3]
    Ferziger J. H., In “Simulation and Modeling of Turbulent Flows” T. B. Gatski, M. Y. Hussaini, and J. L. Lumley, Eds., ( Oxford University Press, New York, 1996 ), pp. 109–154.Google Scholar
  4. [4]
    Gatski T. B., In “Handbook of Computational Fluid Dynamics” R. Peyret, Ed., ( Academic Press Ltd., London, 1996 ), pp. 339–415.Google Scholar
  5. [5]
    Zeman O., Phys. Fluids A 2 (2) (1990) 178.MathSciNetADSCrossRefGoogle Scholar
  6. [6]
    Sarkar S., Erlebacher G., Hussaini M. Y., Kreiss H. O., J. Fluid Mech. 227 (1991) 473.ADSMATHCrossRefGoogle Scholar
  7. [7]
    Kovasznay L. S. G., J. Aero. Sci. 20 (1953) 657.MATHGoogle Scholar
  8. [8]
    Passot T., Pouquet A., J. Fluid Mech. 181 (1987) 441.ADSMATHCrossRefGoogle Scholar
  9. [9]
    Blaisdell G.A., Mansour N.N., Reynolds W.C., J. Fluid Mech. 256 (1993) 443.MathSciNetADSMATHCrossRefGoogle Scholar
  10. [10]
    Sarkar S., J. Fluid Mech. 282 (1995) 163.ADSMATHCrossRefGoogle Scholar
  11. [11]
    Sarkar S., Phys. Fluids A 4 (12) (1992) 2674.ADSCrossRefGoogle Scholar
  12. [12]
    Zeman O., Phys. Fluids A 3(5) (1990) 951.Google Scholar
  13. [13]
    Zeman O., Coleman G.N., In “Proceedings of the Eighth Symposium on Turbulent Shear Flows” F. Durst, R. Friedrich, B. E. Launder, F. W. Schmidt, U. Schumann, and J. H. Whitelaw, Eds., ( Springer-Verlag, Heidelberg, 1993 ), pp. 283–296.CrossRefGoogle Scholar
  14. [14]
    Cambon C., Coleman G.N., Mansour N.N., J. Fluid Mech. 257 (1993) 641.ADSMATHCrossRefGoogle Scholar
  15. [15]
    Durbin P.A., Zeman O., J. Fluid Mech. 242 (1992) 349.ADSMATHCrossRefGoogle Scholar
  16. [16]
    Jacquin L., Cambon C., Blin E., Phys. Fluids A 5 (10) (1993) 2539.MATHGoogle Scholar
  17. [17]
    Vreman B., Kuerton H., Geurts B., Phys. Fluids 7 (9) (1995) 2105.ADSMATHCrossRefGoogle Scholar
  18. [18]
    Lee S., Lele S.K., Moin P., J. Fluid Mech. 251 (1993) 533.ADSCrossRefGoogle Scholar
  19. [19]
    Hannappel R., Friedrich R., Appl. Sci. Res. 54 (1995) 205.ADSMATHCrossRefGoogle Scholar
  20. [20]
    Coleman G.N., Kim J., Moser R.D., J. Fluid Mech. 305 (1995) 159.ADSMATHCrossRefGoogle Scholar
  21. [21]
    Huang P.G., Coleman G.N., Bradshaw P., J. Fluid Mech. 305 (1995) 185.ADSMATHCrossRefGoogle Scholar
  22. [22]
    Rai M.M., Gatski T.B., Erlebacher G., AIAA Paper No. 95–0583 January 1995.Google Scholar
  23. [23]
    Adams N.A., Shariff K., J. Comp. Phys. 127 (1996) 27.MathSciNetADSMATHCrossRefGoogle Scholar
  24. [24]
    Hannappel R., Hauser T., Friedrich R., J. Comp. Phys. 121 (1995) 176.ADSMATHCrossRefGoogle Scholar
  25. [25]
    Spyropoulos E.T., Ph.D. Dissertation, Purdue University (1996).Google Scholar
  26. [26]
    Yoshizawa A., Phys. Fluids 29 (7) (1986) 2152.ADSMATHCrossRefGoogle Scholar
  27. [27]
    Spyropoulos E.T., Blaisdell G.A., AIAA J. 34 (5) (1996) 990.ADSMATHCrossRefGoogle Scholar
  28. [28]
    Speziale C.G., Erlebacher G., Zang T.A., Hussaini M.Y., Phys. Fluids 31 (4) (1988) 940.ADSCrossRefGoogle Scholar
  29. [29]
    Moin P., Squires K., Cabot W., Lee S., Phys. Fluids A 3 (11) (1991) 2746.ADSMATHCrossRefGoogle Scholar
  30. [30]
    Lilly D.K., Phys. Fluids A 4(3) (1992) 633.Google Scholar
  31. [31]
    Blaisdell G.A., Spyropoulos E.T., Qin J.H., Appl. Num. Math. 20 (1996)Google Scholar
  32. [32]
    El-Hady N.M., Zang T.A., Theor. Comput. Fluid Dyn. 7 (1995) 217.MATHCrossRefGoogle Scholar
  33. [33]
    Ducros F., Comte P., Lesieur, M., J. Fluid Mech. 326 (1996) 1.ADSMATHCrossRefGoogle Scholar
  34. [34]
    Métais O., Lesieur M., J. Fluid Mech. 239 (1992) 157.MathSciNetADSMATHCrossRefGoogle Scholar
  35. [35]
    Lesieur M., Métais O., Annu. Rev. Fluid Mech. 28 ( Annual Reviews Inc., Palo Alto, 1996 ) p. 45.Google Scholar
  36. [36]
    Spyropoulos E.T., Blaisdell G.A., AIAA Paper No. 97–0429 January 1997.Google Scholar
  37. [37]
    Speziale C.G., Sarkar S., AIAA Paper No. 91–0217 January 1991.Google Scholar
  38. [38]
    Coleman G.N., Mansour N.N., Phys. Fluids A 3 (9) (1991) 2255.ADSMATHCrossRefGoogle Scholar
  39. [39]
    Wilcox D.C., AIAA J. 30 (11) (1992) 2639.ADSMATHCrossRefGoogle Scholar
  40. [40]
    Huang P.G., Bradshaw P., Coakley T.J., AIAA J. 32 (4) (1994) 735.ADSMATHCrossRefGoogle Scholar
  41. [41]
    Lumley J.L., In “Advances in Applied Mechanics” 18, C-S. Yih, Ed., ( Academic Press, New York, 1978 ), pp. 123–176.Google Scholar
  42. [42]
    Reynolds W.C., “Lecture Notes — Von Karman Institute AGARD Lecture Series 86,” 1987.Google Scholar
  43. [43]
    Speziale C.G., Gatski T.B., Sarkar S., Phys. Fluids A 4 (12) (1992) 2887.ADSCrossRefGoogle Scholar
  44. [44]
    Speziale C.G., Annu. Rev. Fluid Mech. 23 ( Annual Reviews Inc., Palo Alto, 1991 ) p. 107.Google Scholar
  45. [45]
    Gatski T.B., Hussaini M.Y., Lumley J.L. (Eds.), Simulation and Modeling of Turbulent Flows (Oxford University Press, New York, 1996 ).Google Scholar
  46. [46]
    Speziale C.G., Abid R., Mansour N.N., ZAMP 46 (1995) S717.MathSciNetMATHGoogle Scholar
  47. [47]
    Magnaudet J., Appl. Sci. Res. 51 (1993) 525.Google Scholar
  48. [48]
    Gatski T.B., Speziale C.G., J. Fluid Mech. 254 (1993) 59.MathSciNetADSMATHCrossRefGoogle Scholar
  49. [49]
    Abid R., Rumsey C., Gatski T.B., AIAA J. 33 (11) (1995) 2026.ADSMATHCrossRefGoogle Scholar
  50. [50]
    Abid R., Morrison J., Gatski T.B., AIAA J. (1996), to appear.Google Scholar
  51. [51]
    Wilcox D.C., Turbulence Modeling for CFD (DCW Industries, Inc., La Canada, California, 1993 ) pp. 183–189.Google Scholar
  52. [52]
    Kline S.J., Cantwell B.J., Lilley G.M., (Eds.), “The 1980–81 AFOSRHTTM-STANFORD on Complex Turbulent Flows: Comparison of Computation and Experiment,” (Thermosciences Division, Mechanical Engineering Department, Stanford University, 1982 ) pp. 364–368.Google Scholar
  53. [53]
    Vreman A.W., Sandham N.D., Luo K.H., J. Fluid Mech. 320 (1996) 235.ADSMATHCrossRefGoogle Scholar
  54. [54]
    Zeman O., AIAA Paper No. 93–0897 January 1993.Google Scholar
  55. [55]
    Taulbee D.B., VanOsdol J., AIAA Paper No. 91–0524 January 1991.Google Scholar
  56. [56]
    Rubesin M.W., NASA Contractor Report 177–556, 1990.Google Scholar
  57. [57]
    Sommer T.P., So R.M.C., Zhang H.S., AIAA J. 31 (1) (1993) 27.ADSMATHCrossRefGoogle Scholar
  58. [58]
    Huang P.G., Coakley T.J., In “Near-Wall Turbulent Flows” R. M. C. So, C. G. Speziale, and B. E. Launder, Eds., ( Elsevier Science Publishers, Amsterdam, 1993 ), pp. 199–208.Google Scholar
  59. [59]
    Ha Minh H., Rubesin M.W., Vandromme D., Viegas J.R., “International Symposium on Computational Fluid Dynamics,” September 12–16, Tokyo, Japan, 1985.Google Scholar
  60. [60]
    El Baz A.M., Launder B.E., In “Engineering Turbulence Modelling and Experiments 2” W. Rodi and F. Martelli, Eds., ( Elsevier Science Publishers, Amsterdam, 1993 ), pp. 63–72.Google Scholar
  61. [61]
    Cousteix J., Aupoix B., AGARD Report No. 764, 19Google Scholar
  62. [62]
    Viegas J.R., Rubesin M.W., Horstman C.C., AIAA January 1985.Google Scholar
  63. [63]
    In “Near-Wall Tur. E. Launder, Eds., 209–218.Google Scholar
  64. Zhang H.S., So R.M.C., Gatski T.B., Speziale C.G., bulent Flows“ R. M. C. So, C. G. Speziale, and B (Elsevier Science Publishers, Amsterdam, 1993), pp.Google Scholar
  65. [64]
    Lai Y.G., So R.M.C., J. Fluid Mech. 221 (1990) 641MATHGoogle Scholar
  66. [65]
    Durbin P.A., J. Fluid Mech. 249 (1993) 465.ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • T. B. Gatski
    • 1
  1. 1.NASA Langley Research CenterHamptonUSA

Personalised recommendations