The wall pressure signature of transonic shock/boundary layer interaction

Journal of Fluid Mechanics

Volumn 671, Issue , 2011, Pages 288-312

  Bernardini, Matteo ^a   Pirozzoli, Sergio ^a   Grasso, Francesco ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

compressible boundary layers; hydrodynamic noise; turbulent boundary layers

Indexed keywords

ATMOSPHERIC THERMODYNAMICS; BOUNDARY LAYER FLOW; FOURIER SERIES; HIGH PRESSURE EFFECTS; SHEAR STRESS; SHOCK WAVES; SPECTROSCOPY; TURBULENCE; TURBULENT FLOW;

COMPRESSIBLE BOUNDARY LAYERS; FREE-STREAM DYNAMIC PRESSURE; HYDRODYNAMIC NOISE; INTERMEDIATE FREQUENCIES; SHOCK/BOUNDARY LAYER INTERACTIONS; TURBULENT BOUNDARY LAYERS; WALL PRESSURE CORRELATION; WALL-PRESSURE FLUCTUATIONS;

BOUNDARY LAYERS;

CONVECTION; EDDY; HYDRODYNAMICS; POWER LAW; PRESSURE GRADIENT; REYNOLDS NUMBER; SHEAR STRESS; SHOCK WAVE; TURBULENT BOUNDARY LAYER; WALL;

EID: 79952814589     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010005677     Document Type: Article

References (46)

1. Batchelor, G. K. 1951 Pressure fluctuations in isotropic turbulence. Proc. Camb. Phil. Soc. 47, 359-374.
2. Blake, W. K. 1986 Mechanics of Flow-Induced Sound and Vibration. Academic Press.
3. Bradshaw, P. 1967 'Inactive' motion and pressure fluctuations in turbulent boundary layers. J. Fluid Mech. 30, 241-258.
4. Bruce, P. J. K. & Babinsky, H. 2008 Unsteady shock wave dynamics. J. Fluid Mech. 603, 463-473. (Pubitemid 351637401)
5. Bull, M. K. 1967 Wall pressure fluctuations associated with subsonic turbulent boundary layer flow. J. Fluid Mech. 28, 719-754.
6. Bur, R., Benay, R., Galli, A. & Berthouze, P. 2006 Experimental and numerical study of forced shock-wave oscillations in a transonic channel. Aerosp. Sci. Technol. 10, 265-278. (Pubitemid 43832145)
7. Camussi, R., Felli, M., Pereira, F., Aloisio, G. & di Marco, A. 2008 Statistical properties of wall pressure fluctuations over a forward-facing step. Phys. Fluids 20, 075113.
8. Camussi, R., Guj, G., Imperatore, B., Pizzicaroli, A. & Perigo, D. 2007 Wall pressure fluctuations induced by transonic boundary layers on a launcher model. Aerosp. Sci. Technol. 11 (5), 349-359. (Pubitemid 46823906)
9. Castillo, L. & George, W. K. 2001 Similarity analysis for turbulent boundary layer with pressure gradient: outer flow. AIAA J. 39, 41-47. (Pubitemid 32872421)
10. Choi, H. & Moin, P. 1990 On the space-time characteristics of wall-pressure fluctuations. Phys. Fluids 2 (8), 1450-1460.
11. Cipolla, K. & Keith, W. 2000 Effects of pressure gradients on turbulent boundary layer wave number frequency spectra. AIAA J. 38, 1832-1836.
12. Colonius, T. 2004 Modeling artificial boundary conditions for compressible flow. Annu. Rev. Fluid Mech. 36, 315-345. (Pubitemid 38381914)
13. Corcos, G. M. 1964 The structure of the turbulent pressure field in boundary-layer flows. J. Fluid Mech. 18, 353-378.
14. Deck, S. 2005 Numerical simulation of the transonic buffet over a supercritical airfoil. AIAA J. 43, 1556-1566. (Pubitemid 41013801)
15. Delery, J. & Marvin, J. G. 1986 Shock-wave boundary layer interactions. Tech. Rep. 280. AGARDograph.
16. Dolling, D. S. 2001 Fifty years of shock-wave/boundary layer interaction research: what next? AIAA J. 39, 1517-1531. (Pubitemid 32749835)
17. Ducros, F., Ferrand, V., Nicoud, F., Weber, C., Darracq, D., Gacherieu, C. & Poinsot, T. 1999 Large-eddy simulation of the shock/turbulence interaction. J. Comput. Phys. 152, 517-549.
18. Erm, L. P. & Joubert, J. 1991 Low-Reynolds-number turbulent boundary layers. J. Fluid Mech. 230, 1-44.
19. Farabee, T. & Casarella, M. J. 1991 Spectral features of wall pressure fluctuations beneath turbulent boundary layers. Phys. Fluids 3 (10), 2410-2420.
20. Ffowcs Williams, J. E. 1965 Surface pressure fluctuations induced by boundary layer flow at finite Mach number. J. Fluid Mech. 22, 507-519.
21. George, W. K., Beuter, P. D. & Arndt, R. E. A. 1984 Pressure spectra in turbulent free shear flows. J. Fluid Mech. 148, 155-191.
22. Gravante, S. P., Naguib, A. M., Wark, C. E. & Nagib, H. M. 1998 Characterization of the pressure fluctuations under a fully developed turbulent boundary layer. AIAA J. 36, 1808-1816. (Pubitemid 128551063)
23. Green, J. E. 1969 Interactions between shock waves and turbulent boundary layers. Prog. Aerosp. Sci. 11, 253-340.
24. Ishihara, T., Kaneda, Y., Yokokawa, M., Itakura, K. & Uno, A. 2003 Spectra of energy dissipation, enstrophy and pressure by high-resolution direct numerical simulations of turbulence in a periodic box. J. Phys. Soc. Japan 72, 983-986.
25. Jiang, G. S. & Shu, C. W. 1996 Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126, 202-228.
26. Kennedy, C. A. & Gruber, A. 2008 Reduced aliasing formulations of the convective terms within the Navier-Stokes equations. J. Comput. Phys. 227, 1676-1700.
27. Kim, J. 1989 On the structure of pressure fluctuations in simulated turbulent channel flow. J. Fluid Mech. 205, 421-451. (Pubitemid 20679679)
28. Kleinman, R. R. & Freund, J. B. 2008 The sound from mixing layers simulated with different ranges of turbulence scales. Phys. Fluids 20, 101503.
29. Lee, B. H. K. 2001 Self-sustained shock oscillations on airfoils at transonic speeds. Prog. Aerosp. Sci. 37, 147-196. (Pubitemid 32372282)
30. Lele, S. K. 1992 Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103, 16-42.
31. Lim, K. B. 1971 A study of pressure fluctuations in turbulent shear flows under the effects of mean pressure gradients. PhD thesis, Department of Mechanical Engineering, University of Adelaide.
32. Lund, T. S., Wu, X. & Squires, K. D. 1998 Generation of turbulent inflow data for spatially-developing boundary layer simulations. J. Fluid Mech. 140, 233-258. (Pubitemid 128346379)
33. Mabey, D. G. 1982 Comment on 'a review of research on subsonic turbulent flow attachment'. AIAA J. 20, 1632b-1632b.
34. Na, Y & Moin, P. 1998 The structure of wall-pressure fluctuations in turbulent boundary layers with adverse pressure gradient and separation. J. Fluid Mech. 377, 347-373. (Pubitemid 128492985)
35. Pirozzoli, S. 2010 Generalized conservative approximations of split convective derivative operators. J. Comput. Phys. 229, 7180-7190.
36. Pirozzoli, S., Bernardini, M. & Grasso, F. 2010 Direct numerical simulation of transonic shock/boundary layer interaction under conditions of incipient separation. J. Fluid Mech. 657, 361-393.
37. Schewe, G. 1983 On the structure and resolution of wall-pressure fluctuations associated with turbulent boundary-layer flow. J. Fluid Mech. 134, 311-328.
38. Schloemer, H. H. 1967 Effects of pressure gradients on turbulent boundary layer wall pressure fluctuations. J. Acoust. Soc. Am. 42 (1), 93-113.
39. Simens, M. P., Jimnez, J., Hoyas, S. & Mizuno, Y 2009 A high-resolution code for a turbulent boundary layers. J. Comput. Phys. 228, 4218-4231.
40. Simpson, R. L., Ghodbane, M. & McGrath, B. E. 1987 Surface pressure fluctuations in a separating turbulent boundary layer. J. Fluid Mech. 177, 167-186. (Pubitemid 17583593)
41. Spalart, P. R. 1988 Direct numerical simulation of a turbulent boundary layer up to Reθ = 1410. J. Fluid Mech. 187, 61-98.
42. Tsuji, Y, Fransson, J. H. N., Alfredsson, P. H. & Johansson, A. V. 2007 Pressure statistics and their scaling in high-Reynolds-number turbulent boundary layers. J. Fluid Mech. 585, 1-40. (Pubitemid 47240704)
43. Tsuji, Y & Ishihara, T. 2003 Similarity scaling of pressure fluctuation in turbulence. Phys. Rev. E 68, 026309.
44. Willmarth, W. W. & Woold ridge, C. E. 1962 Measurements of the fluctuating pressure at the wall beneath a thick turbulent boundary layer. J. Fluid Mech. 14, 187-210.
45. Wu, X. & Mo i n, P. 2009 Direct numerical simulation of turbulence in a nominally zero-pressure-gradient flat-plate boundary layer. J. Fluid Mech. 630, 5-41.
46. Zagarola, M. V. & Smits, A. J. 1998 Mean flow scaling of turbulent pipe flow. J. Fluid Mech. 373, 33-79. (Pubitemid 128488706)