Subharmonic transition to turbulence in a flat-plate boundary layer at Mach number 4.5

Journal of Fluid Mechanics

Volumn 317, Issue , 1996, Pages 301-335

  Adams, N A ^a,b   Kleiser, L ^a,b  

^a GERMAN AEROSPACE CENTER DLR   (Germany)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FLOW OF FLUIDS; FLUID DYNAMICS; FLUID MECHANICS; TURBULENCE;

MACH NUMBER; SUBHARMONIC TRANSITION;

BOUNDARY LAYERS;

EID: 0030168136     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096000766     Document Type: Article

References (47)

1. ADAMS, N. A. 1993 Numerische Simulation von Transitionsmechanismen in kompressiblen Grenzschichten. Doctoral Thesis, Technische Universität München; also DLR-FB 93-29, DLR, Germany (in German).
2. ADAMS, N. A. 1993 Numerische Simulation von Transitionsmechanismen in kompressiblen Grenzschichten. Doctoral Thesis, Technische Universität München; also DLR-FB 93-29, DLR, Germany (in German).
3. ADAMS, N. A. & KLEISER, L. 1993a Numerical simulation of transition in a compressible flat plate boundary layer. In Transitional and Turbulent Compressible Flows (ed. L. D. Kral & T. A. Zang). ASME-FED vol. 151, pp. 101-110.
4. ADAMS, N. A. & KLEISER, L. 1993b Numerical simulation of fundamental breakdown of a laminar boundary-layer at Mach 4.5. AIAA Paper 93-5027.
5. ADAMS, N. A., SANDHAM, N. D. & KLEISER, L. 1992 A method for direct numerical simulation of compressible boundary-layer transition. In Notes on Numerical Fluid Mechanics, vol. 35 (ed. J. B. Vos, A. Rizzi & I. Rhyming), pp. 523-532. Vieweg.
6. CANUTO, C., HUSSAINI, M. Y., QUARTERONI, A. & ZANG, T. A. 1988 Spectral Methods in Fluid Dynamics. Springer.
7. CARPENTER, M. H., GOTTLIEB, D. & ABARBANEL, S. 1993 The stability of numerical boundary treatments for compact high-order finite difference schemes. J. Comput. Phys. 108, 272-295.
8. DRAZIN, P. G., REID W. H. 1981 Hydrodynamic Stability. Cambridge University Press.
9. EISSLER, W. & BESTER, H. 1993 Spatial numerical simulations of nonlinear transition phenomena in supersonic boundary layers. In Transitional and Turbulent Compressible Flows (ed. L. D. Kral & T. A. Zang) 101-110. ASME-FED vol. 151, pp. 69-76.
10. ERLEBACHER,G. & HUSSAINI, M. Y. 1990 Numerical experiments in supersonic boundary-layer stability. Phys. Fluids A 2, 94-104.
11. FASEL, H., THUMM, A. & BESTER, H. 1993 Direct numerical simulation of transition in supersonic boundary layers: oblique breakdown. In Transitional and Turbulent Compressible Flows (ed. L. D. Kral & T. A. Zang). ASME-FED vol. 151, pp. 77-92.
12. FERNHOLZ, H. H. & FINLEY, P. J. 1977 A critical compilation of compressible boundary layer data with a survey of turbulent data. AGARDograph 263.
13. GUO, Y., ADAMS, N. A., KLEISER, L. 1995 Modeling of nonparallel effects in temporal direct numerical simulations of compressible boundary layer transition. Theor. Comput. Fluid Dyn. 7, 141-157.
14. GUO, Y., ADAMS, N. A., SANDHAM, N. D. & KLEISER, L. 1994 Numerical simulation of supersonic boundary layer transition. AGARD CP-551.
15. GUO, Y., KLEISER, L. & ADAMS, N. A. 1996 A comparison study of an improved temporal DNS and spatial DNS of compressible boundary layer transition. AIAA J. 34 (in press).
16. HERBERT, T. 1988 Secondary instability of boundary layers. Ann. Rev. Fluid Mech. 20, 487-526.
17. KACHANOV, Y. S. & LEVCHENKO V. Y. 1984 The resonant interaction of disturbances at laminar-turbulent transition in a boundary layer. J. Fluid Mech. 138, 209-247.
18. KENDALL, J. M. 1967 Supersonic boundary layer stability experiments. In Boundary Layer Transition Study Group Meeting, Vol. II, BSD-TR-67-213, USAF (ed. W. D. McCauley), pp. 10-1-10-8.
19. KOSINOV, A. D., MASLOV, A. A. & SHEVELKOV, S. G. 1990 Experiments on the stability of supersonic laminar boundary layers. J. Fluid Mech. 219, 621-633.
20. LELE, S. K. 1992 Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103, 16-42.
21. MACK, L. M. 1984 Boundary-layer linear stability theory. In Special Course on Stability and Transition of Laminar Flow, AGARD Rep. 709, pp. 3-1-3-81.
22. MACK, L. M. 1990 On the inviscid acoustic-mode instability of supersonic shear flows. Part 1. Two-dimensional waves. Theor. Comp. Fluid Dyn. 2, 97-123.
23. MAYER, E. W. & POWELL, K. G. 1992 Similarity solutions for viscous vortex cores. J. Fluid Mech. 238, 487-507.
24. MOIN, P., LEONARD, A. & KIM, J. 1986 Evolution of a curved vortex filament into a vortex ring. Phys. Fluids 29, 955-963.
25. NG, L. & ERLEBACHER, G. 1992 Secondary instabilities in compressible boundary layers. Phys. Fluids A 4, 710-726.
26. OWEN, F. K. & HORSTMAN, C. C. 1972 On the structure of hypersonic turbulent boundary layers. J. Fluid Mech. 53, 611-636.
27. PRUETT, C. D. & CHANG, C. L. 1993 A comparison of PSE and DNS for high-speed boundary-layer flows. In Transitional and Turbulent Compressible Flows, (ed. L. D. Kral & T. A. Zang). ASME-FED vol. 151, pp. 57-67.
28. PRUETT, C. D. & CHANG, C.-L. 1995 Spatial direct numerical simulation of high-speed boundary-layer flows - part II: transition on a cone in Mach 8 flow. Theor. Comp. Fluid Dyn. 7, 397-424.
29. PRUETT, C. D. & ZANG, T. A. 1992 Direct numerical simulation of laminar breakdown in high-speed, axisymmetric boundary layers. Theor. Comp. Fluid Dyn. 3, 345-367.
30. PRUETT, C. D., ZANG, T. A., CHANG, C.-L. & CARPENTER, M. H. 1995 Spatial direct numerical simulation of high-speed boundary-layer flows - part I: algorithmic considerations and validation. Theor. Comp. Fluid Dyn. 7, 49-76.
31. SANDHAM, N. D., ADAMS, N. A. & KLEISER, L. 1994 Direct simulation of breakdown to turbulence following oblique instability waves in a supersonic boundary layer. In Direct and Large-Eddy Simulation I (ed. P. R. Voke et al.), pp. 213-223.
32. SANDHAM, N. D. & KLEISER, L. 1992 The late stages of transition to turbulence in channel flow. J. Fluid Mech. 245, 319-348.
33. SANDHAM, N. D. & REYNOLDS, W. C. 1991 Three-dimensional simulations of large eddies in the compressible mixing layer. J. Fluid Mech. 224, 133-158.
34. SARKAR, S., ERLEBACHER, G., HUSSAINI, M. Y. & KREISS, H. O. 1991 The analysis and modeling of dilatational terms in compressible turbulence. J. Fluid Mech. 182, 85-109.
35. SCHMID, P. J. & HENNINGSON, D. S. 1992 A new mechanism for rapid transition involving a pair of oblique waves. Phys. Fluids A 4, 1986-1989.
36. SIMEN, M. & DALLMANN, U. 1992 On the instability of hypersonic flow past a pointed cone - comparison of theoretical and experimental results at Mach 8. DLR FB 92-02, DLR, Germany.
37. SPALART, P. R. & YANG, K. S. 1987 Numerical study of ribbon-introduced transition in Blasius flow. J. Fluid Mech. 178, 345-365.
38. SPINA, E. F. & SMITS, A. J. 1987 Organized structures in a compressible turbulent boundary layer. J. Fluid Mech. 227, 473-493.
39. STETSON, K. F. & KIMMEL, R. L. 1992 On hypersonic boundary layer stability. AIAA Paper 92-0737.
40. STETSON, K. F. & KIMMEL, R. L. 1993 On the breakdown of a hypersonic laminar boundary layer. AIAA Paper 93-0896.
41. STEWARTSON, K. 1964 The Theory of Laminar Boundary Layers in Compressible Fluids. Oxford University Press.
42. STUART, J.T. 1965 The production of intense shear layers by vortex stretching and convection. AGARD Rep. 514.
43. THOMPSON, K.W. 1987 Time dependent boundary conditions for hyperbolic systems. J. Comput. Phys. 68, 1-24.
44. THUMM, A., WOLZ, W. & FASEL, H. 1990 Numerical simulation of spatially growing three-dimensional disturbance waves in compressible boundary layers. In Laminar-Turbulent Transition (ed. D. Arnal & R. Michel), 303-308, Springer.
45. VOLLMERS, H., KREPLIN, H.-P. & MEIER H.U. 1983 Separation and vortical-type flow around a prolate spheroid - evaluation of relevant parameters. AGARD CP 342, pp. 14-1-14-14.
46. WRAY, A.A. 1986 Very low storage time-advancement schemes. Internal Rep. NASA Ames Research Center, Moffet Field, California.
47. ZEMAN, O. 1990 Dilatation dissipation: The concept and application in modeling compressible mixing layers. Phys. Fluids A 2, 178-188.