Abstract
The forced transition of a temporal boundary layer over an adiabatic flat plate is simulated by means of direct and large-eddy simulations, for an external Mach number of 4.5 and an initial Reynolds number of 10 000. The basic state is composed of a laminar flow, 2D perturbations mostly composed of Mack’s second mode, plus 3D white noise. In both simulations, a first transient is observed: Kelvin-Helmholtz-like vortices develop at the height of the generalized inflection point. Due to oblique subharmonic modes, they start three-dimensionalizing as in mixing layers at high convective Mach numbers. Then, the turbulent activity abruptly shifts towards the wall, in the forms of streaks mostly. Immediately after, the LES shows these streaks breaking down into turbulence at smaller scale, with coherent hairpin vortices (DNS are no longer possible). The flow then presents strong analogies with turbulent incompressible boundary layers.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Adams, N.A., Kleiser, L. 1993a: Numerical simulation of transition in a compressible flat plate boundary layer, Transitional and Turbulent Compressible flows, ASME 1993, 151, pp. 101–110.
Benney, D.J., Gustavsson, L.H. 1981: A new mechanism for linear and nonlinear hydrodynamic instability, Stud. Appl. Math., 64, 185–209.
Comte, P., Fouillet, Y., Lesieur, M. 1992: Simulation numerique des zones de mélange compressibles, Revue Scientifique et Technique de la Défense, 3, 43–63.
Fisher, M.C., Weinstein, L.M. 1972: Cone transitional boundary-layer structure at Me = 14, AIAA J, 10, 5, 699–701.
Fouillet, Y. 1991: Contribution á l’étude par expérimentation numérique des écoulements cisaillés libres: effets de compressibilité, Thése de l’lnstitut National Polytechnique de Grenoble.
Gottlieb, D., Turkel, E. 1976: Dissipative two-four methods for time-dependent problems, Math. Comp., 30, (136), 703–723.
Landahl, M.T. 1980: A note on an algebraic instability of inviscid parallel shear flows, J. Fluid Mech., 98, 243–251.
Mack, L.M. 1969: Boundary-layer stability theory, Jet Propulsion Lab., Pasadena, Calif., rep. No 900–277.
Maise G., Mac Donald, M. 1968: AIAA J, 6, 73.
Métais, O., Lesieur, M. 1992: Spectral large-eddy simulations of isotropic and stably-stratified turbulence, J. Fluid Mech, 239, 157–194.
Michel, R. 1967: Couches limites - frottement et transfert de chaleur. Cours E.N.S.A.E.
Morkovin, M. V. 1961: Effects of compressibility on turbulent flows. In Mécanique de la Turbulence, colloque CNRS No- 108, ed. C.N.R.S., pp. 367–380.
Ng, L.L., Erlebacher, G. 1992: Secondary instabilities in compressible boundary layers, Phys. Fluids A, 4 (1992)710.
Normand, X. 1990: Transition á la turbulence dans les écoulements cisaillés compressibles libres et parietaux. Thése, Institut National Polytechnique de Grenoble.
Normand, X., Lesieur, M. 1992: Direct and large-eddy simulations of transition in the compressible boundary Layer, Theor. and Comp. Fluid Dyn., 3 p. 231.
Pruett, C.D., Zang, T.A. 1992: Direct numerical simulation of laminar breakdown in highspeed, axisymmetric boundary layers, Theor. and Comp. Fluid Dyn., 3 345–367.
Sandham, N.D., Reynolds, W.C. 1991: Three-dimensional simulations of the compressible mixing layer, J. Fluid Mech., 224, 133.
Schlichting, H. 1979: Boundary-layer theory. McGraw-Hill, New-york, seventh edition.
Schmidt, P.J., Henningson, D.S. 1992: A new mechanism for rapid transition involving a pair of oblique waves, Phys. Fluids A, 4 (1992) 1986.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ducros, F., Comte, P., Lesieur, M. (1995). Direct and Large-Eddy Simulations of Transition of a Supersonic Boundary Layer. In: Durst, F., Kasagi, N., Launder, B.E., Schmidt, F.W., Suzuki, K., Whitelaw, J.H. (eds) Turbulent Shear Flows 9. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78823-9_18
Download citation
DOI: https://doi.org/10.1007/978-3-642-78823-9_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-78825-3
Online ISBN: 978-3-642-78823-9
eBook Packages: Springer Book Archive