Abstract
Temporal mode direct numerical simulation (DNS) has been done for a supersonic turbulent boundary layer on a flat plate with Mach number 4.5. It was found that the mean flow profile, the normal-wise distribution of turbulent Mach number and the root mean square (RMS) of the fluctuations of various variables, as well as the Reynolds stresses, bore similarity in nature, when the turbulence reached a fully developed state. But the compressibility effect was strong and must be considered. The strong Reynolds analogy (SRA) and the Morkovin hypothesis were no longer valid. From the end of transition to the fully developed state of turbulence, it was in the transient period, for which the similarity did not hold.
Similar content being viewed by others
References
Guarini, S. E., Moser, R. D., Shariff, K. et al., Direct numerical simulation of a supersonic turbulent boundary layer at Mach 2.5, J. Fluid Mech., 2000, 414: 1–33.
Maeder, T., Adams, N. A., Kleiser, L., Direct simulation of turbulent supersonic boundary layers by an extended temporal approach, J. Fluid Mech., 2001, 429: 187–216.
Gatski, T. B. Erlebacher, G. Numerical simulation of a spatially evolving supersonic, turbulent boundary layer, NASA Tech. Meno., 2002–211934 (2002).
Pirozzoli, S., Grasso, F., Gatski, T. B., Direct numerical simulation and analysis of a spatially evolving supersonic turbulent boundary layer at M=2.25, Physics of Fluids, 2004, 16(3): 530–545.
Li, X. L., Fu, D. X., Ma, Y. W., DNS of compressible turbulent boundary layer over a blunt wedge, Science in China, Ser. G 2005, 48(2): 129–141.
Morkovin, M. V., Effects of compressibility on turbulent flows, Mécanique de la Turbulence (ed. Favre, A.), CNRS, Paris, 1962, 367–380.
Coleman, G. N., Kim, J., Moser, R. D., A numerical study of turbulent supersonic isothermal-wall channel flow, J. Fluid Mech., 1995, 305: 159–183.
Spina, E. F., Smits, A. J., Robinson, S. K., The physics of supersonic turbulent boundary layers, Ann. Rev. Fluid Mech., 1994, 26: 287–319.
Lele, S. K., Compressibility effects on turbulence, Ann. Rev. Fluid Mech., 1994, 26: 211–254.
Huang, Z. F., Cao, W., Zhou, H., The mechanism of breakdown in laminar-turbulent transition of a supersonic boundary layer on a flat plate-temporal mode, Science in China, Ser. G, 2005, 48(5): 614–625.
White, F. M., Viscous Fluid Flow, New York: McGraw-Hill, 1974.
Spalart, P. R., Direct simulation of a turbulent boundary layer up to Re π=1410, J. Fluid Mech., 1988, 187: 61–98.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Huang, Z., Zhou, H. & Luo, J. Direct numerical simulation of a supersonic turbulent boundary layer on a flat plate and its analysis. Sci China Ser G: Phy & Ast 48, 626–640 (2005). https://doi.org/10.1360/142005-184
Received:
Issue Date:
DOI: https://doi.org/10.1360/142005-184