The influence of entropy fluctuations on the interaction of turbulence with a shock wave

Journal of Fluid Mechanics

Volumn 334, Issue , 1997, Pages 353-379

  Mahesh, Krishnan ^a   Lele, Sanjiva K ^a   Moin, Parviz ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; CORRELATION METHODS; ENTROPY; FLOW INTERACTIONS; THERMODYNAMIC STABILITY; TURBULENCE; TURBULENT FLOW; VORTEX FLOW;

BAROCLINIC TORQUE; ENTROPY FLUCTUATIONS; INVISCID LINEAR ANALYSIS;

SHOCK WAVES;

ENTROPY; SHOCK WAVES; SIMULATION NUMERICAL; THERMODYNAMICS; TURBULENCE;

ENTROPY; SHOCK WAVE; TURBULENCE; WAVE INTERACTIONS;

EID: 0031103880     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097004576     Document Type: Article

References (46)

1. BRADSHAW, P. 1974 The effect of mean compression or dilatation on the turbulence structure of supersonic boundary layers. J. Fluid Mech. 63, 449-464.
2. BRADSHAW, P. 1977 Compressible turbulent shear layers. Ann. Rev. Fluid Mech. 9, 33-54.
3. CHANG, C. T. 1957 Interaction of a plane shock and oblique plane disturbances with special reference to entropy waves. J. Aero. Sci. 24, 675-682.
4. COLONIUS, T., MOIN, P. & LELE, S. K. 1995 Direct computation of aerodynamic sound. Rep. TF-65. Department of Mechanical Engineering, Stanford University, Stanford, California.
5. CUADRA, E. 1968 Flow perturbations generated by a shock wave interacting with an entropy wave. AFOSR-UTIAS Symp. on Aerodynamic Noise, Toronto, pp. 251-271. University of Toronto Press.
6. DEBIEVE, F. R., GOUIN, H. & GAVIGLIO, J. 1982 Evolution of the Reynolds stress tensor in a shock wave-turbulence interaction. Indian J. Technol. 20, 90-97.
7. DEBIEVE, J. F. & LACHARME, J. P. 1986 A shock wave/free-turbulence interaction. In Turbulent Shear Layer/Shock Wave Interactions (ed. J. Delery). Springer.
8. DOLLING, D. S. 1993 Fluctuating loads in shock wave/turbulent boundary layer interaction: tutorial and update. AIAA Paper 93-0284.
9. DUSSAUGE, J. P. & GAVIGLIO, J. 1987 The rapid expansion of a supersonic turbulent flow: role of bulk dilatation. J. Fluid Mech. 174, 81-112.
10. ERLEBACHER, G., HUSSAINI, M. Y., SPEZIALE, C. G. & ZANG, T. A. 1992 Towards the large eddy simulation of compressible turbulent flows. J. Fluid Mech. 238, 155-185.
11. FERNHOLZ, H. H. & FINLEY, P. J. 1981 A further compilation of compressible boundary layer data with a survey of turbulence data. AGARDograph 263.
12. GIVOLI, D. 1991 Non-reflecting boundary conditions. J. Comput. Phys. 94, 1-29.
13. GOLDSTEIN, M. E. 1979 Turbulence generated by the interaction of entropy fluctuations with non-uniform mean flows. J. Fluid Mech. 93, 209-224.
14. GREEN, J. E. 1970 Interaction between shock waves and turbulent boundary layers. Prog. Aerospace Sci. 11, 235-340.
15. HAYES, W. D. 1957 The vorticity jump across a gasdynamic discontinuity. J. Fluid Mech. 2, 595-600.
16. HESSELINK, L. & STURTEVANT, B. 1988 Propagation of weak shocks through a random medium. J. Fluid Mech. 196, 513-553.
17. HONKAN, A. & ANDREOPOULOUS, J. 1992 Rapid compression of grid-generated turbulence by a moving shock wave. Phys. Fluids A 4, 2562-2572.
18. ISRAELI, M. & ORSZAG, S. A. 1981 Approximation of radiation boundary conditions. J. Comput. Phys. 41, 115-135.
19. JACQUIN, L., BLIN, E. & GEFFROY, P. 1991 Experiments on free turbulence/shock wave interaction. Proc. Eighth Symp. on Turbulent Shear Flows, Munich (ed. F. Durst, R. Friedrich, B. E. Launder, F. W. Schmidt, U. Schumann & J. H. Whitelaw). Springer.
20. JACQUIN, L., CAMBON, C. & BLIN, E. 1993 Turbulence amplification by a shock wave and rapid distortion theory. Phys. Fluids A 5, 2539-2550.
21. KELLER, J. & MERZKIRCH, W. 1990 Interaction of a normal shock wave with a compressible turbulent flow. Exps. Fluids 8, 241-248.
22. KOVASZNAY, L. S. G. 1953 Turbulence in supersonic flow. J. Aero. Sci. 20, 657-682.
23. LEE, S., LELE, S. K. & MOIN, P. 1992 Simulation of spatially evolving turbulence and the applicability of Taylor's hypothesis in compressible flow. Phys. Fluids A 4, 1521-1530.
24. LEE, S., LELE, S. K. & MOIN, P. 1993 Direct numerical simulation of isotropic turbulence interacting with a weak shock wave. J. Fluid Mech. 251, 533-562. Also see Corrigendum, J. Fluid Mech. 264, 373-374.
25. LEE, S., LELE, S. K. & MOIN, P. 1994 Interaction of isotropic turbulence with a strong shock wave. AIAA Paper 94-0311.
26. LELE, S. K. 1992 Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103, 16-42.
27. LELE, S. K. 1994 Compressibility effects on turbulence. Ann. Rev. Fluid Mech. 26, 211-254.
28. LINDQUIST, D. R. & GILES, M. B. 1991 On the validity of linearized unsteady Euler equations with shock-capturing. AIAA Paper 91-1598-CP.
29. MAHESH, K., LEE, S., LELE, S. K. & MOIN, P. 1995 The interaction of an isotropic field of acoustic waves with a shock wave J. Fluid Mech. 300, 383-407.
30. MAHESH, K., LELE, S. K. & MOIN, P. 1993 The response of anisotropic turbulence to rapid homogeneous one-dimensional compression. Phys. Fluids 6, 1052-1062.
31. MAHESH, K., LELE, S. K. & MOIN, P. 1996 The interaction of a shock wave with a turbulent shear flow. Report TF-69. Thermosciences Division, Mechanical Engineering Department, Stanford University, Stanford, CA.
32. MEADOWS, K. R., CAUGHEY, D. A. & CASPER, J. 1993 Computing unsteady shock waves for aeroacoustic applications. AIAA Paper 93-4329.
33. MORKOVIN, M. V. 1960 Note on the assessment of flow disturbances at a blunt body traveling at supersonic speeds owing to flow disturbances in the free stream. Trans. ASME. J. Appl. Mech., No. 60-APM-10.
34. MORKOVIN, M. V. 1961 Effects of compressibility on turbulent flows. In Mecanique de la Turbulence (ed. A. Favrè), pp. 367-380. Paris, Editions du Centre National de la Recherche Scientifique.
35. POINSOT, T. J. & LELE, S. K. 1992 Boundary conditions for direct simulation of compressible viscous reacting flow. J. Comput. Phys. 101, 104-129.
36. RIBNER, H. S. 1953 Convection of a pattern of vorticity through a shock wave. NACA TN 2864.
37. RIBNER, H. S. 1954 Shock-turbulence interaction and the generation of noise. NACA TN 3255.
38. ROBERTS, T. W. 1990 The behavior of flux difference splitting schemes near slowly moving shocks. J. Comput. Phys. 90, 141-160.
39. SETTLES, G. S. & DODSON, L. J. 1994 Supersonic and hypersonic shock/boundary-layer interaction database. AIAA J. 32, 1377-1383.
40. SHU, C.-W. 1990 Numerical experiments on the accuracy of ENO and modified ENO schemes. J. Sci. Comput. 5, 127-149.
41. SHU, C.-W. & OSHER, S. 1988 Efficient implementation of essentially non-oscillatory shock-capturing schemes. J. Comput. Phys. 77, 439-471.
42. SHU, C.-W. & OSHER, S. 1989 Efficient implementation of essentially non-oscillatory shock-capturing schemes II. J. Comput. Phys. 83, 32-78.
43. SMITS, A. J. & MUCK, K. C. 1987 Experimental study of three shock wave/turbulent boundary layer interactions. J. Fluid Mech. 182, 294-314.
44. TAVOULARIS, S., BENNETT, J. C. & CORRSIN, S. 1978 Velocity-derivative skewness in small Reynolds number, nearly isotropic turbulence. J. Fluid Mech. 176, 33-66.
45. WOODWARD, P. & COLLELA, P. 1984 The numerical simulation of two-dimensional flow through shocks. J. Comput. Phys. 54, 115-173.
46. WRAY, A. A. 1986 Very low storage time-advancement schemes. Internal Rep. NASA-Ames Research Center, Moffett Field, CA.