Direct Numerical Simulation of Isotropic Turbulence Interacting with a Weak Shock Wave

Journal of Fluid Mechanics

Volumn 251, Issue , 1993, Pages 533-562

  Moin, Parviz ^b  

^a STANFORD UNIVERSITY   (United States)

^b NASA AMES RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MACH NUMBER; NUMERICAL SIMULATION; SHOCK WAVE; TURBULENCE;

EID: 0027871517     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112093003519     Document Type: Article

References (46)

1. ANDREOPOULOS, J. & MUCK, K.-C. 1987 Some new aspects of the shock-wave boundary-layer interaction in compression ramp comer. J. Fluid Mech. 180, 405–428.
2. ANYIWO, J. C. & BUSHNELL, D. M. 1982 Turbulence amplification in shock-wave boundary-layer interaction. AIAA J. 20, 893–899.
3. BLAISDELL, G. A., MANSOUR, N. N. & REYNOLDS, W. C. 1990 Numerical simulations of compressible homogeneous turbulence. Rep. TF-50. Department of Mechanical Engineering, Stanford University, CA.
4. BRADSHAW, P. 1977 Compressible turbulence shear layers. Ann. Rev. Fluid Mech. 9, 33–54.
5. BUELL, J. C. & HUERRE, P. 1988 Inflow/outflow boundary conditions and global dynamics of spatial mixing layers. Center for Turbulence Research Proc. Summer Program 1988. Stanford/NASA Ames.
6. 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.
7. COLEMAN, G. N. & MANSOUR, N. N. 1991 Simulation and modeling of homogeneous compressible turbulence under isotropic mean compression. 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.
8. DEBIEVE, F.-R., GOUIN, H. & GAVIGLIO, J. 1982 Momentum and temperature fluxes in a shock wave-turbulence interaction. In Structure of Turbulence in Heat and Mass Transfer (ed. Z. P. Zaric). Hemisphere.
9. DEBIEVE, J. F. & LACHARME, J. P. 1986 A shock-wave/free turbulence interaction. In Turbulent Shear Layer/Shock Wave Interactions (ed. J. Delery). Springer.
10. DOLLING, D. S. & OR, C. T. 1985 Unsteadiness of the shock wave structure in attached and separated compression ramp flows. Exp. Fluids 3, 24–32.
11. FAVRE, A. 1965 Equations des gaz turbulents compressibles I. J. Mec. 4, 361–390.
12. FAVRE, A., KOVASZNAY, L. S. G., DUMAS, R., GAVIGLIO, J. & COANTIC, M. 1976 La Turbulence en Mecanique des Fluides. Gauthier-Villars.
13. GILES, M. B. 1990 Nonreflecting boundary conditions for Euler equation calculations. AIAA J. 28, 2050–2058.
14. HESSELINK, L. & STURTEVANT, B. 1988 Propagation of weak shocks through a random medium. J. Fluid Mech. 196, 513–553.
15. HINZE, J. O. 1975 Turbulence, 2nd Edn. McGraw-Hill.
16. HONKAN, A. & ANDREOPOULOS, J. 1992 Rapid compression of grid-generated turbulence by a moving shock wave. Phys. Fluids A 4, 2562–2572.
17. 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.
18. KELLER, J. & MERZKIRCH, W. 1990 Interaction of a normal shock wave with a compressible turbulent flow. Exp. Fluids 8, 241–248.
19. KERREBROCK, J. L. 1956 The interaction of flow discontinuities with small disturbances in a compressible fluid. PhD thesis, California Institute of Technology.
20. KOVASZNAY, L. S. G. 1953 Turbulence in supersonic flow. J. Aero. Sci. 20, 657–682.
21. LEE, S., LELE, S. K. & MOIN, P. 1991 a Direct numerical simulation and analysis of shock turbulence interaction. AIAA Paper 91–0523.
22. LEE, S., LELE, S. K. & MOIN, P. 1991 b Eddy-shocklets in decaying compressible turbulence. Phys. Fluids A 3, 657–664.
23. LEE, S., LELE, S. K. & MOIN, P. 1992a Simulation of spatially evolving compressible turbulence and the applicability of Taylor's hypothesis. Phys. Fluids A 4, 1521–1530.
24. LEE, S., MOIN, P. & LELE, S. K. 1992 Interaction of isotropic turbulence with a shock wave. Rep. TF-52. Department of Mechanical Engineering, Stanford University, Stanford, CA.
25. LELE, S. K. 1992 a Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103, 16–42.
26. LELE, S. K. 1992b Shock-jump relations in a turbulent flow. Phys. Fluids A 4, 2900–2905.
27. LIGHTHILL, M. J. 1953 On the energy scattered from the interaction of turbulence with sound or shock waves. Proc. Camb. Phil. Soc. 49, 531–551.
28. LUMPKIN, F. E. 1990 Development and evaluation of continuum models for translational-rotational nonequilibrium. PhD thesis, Stanford Univetsity.
29. MCKENZIE, J. F. & WESTPHAL, K. O. 1968 Interaction of linear waves with oblique shock waves. Phys. Fluids 11, 2350–2362.
30. MOORE, F. K. 1953 Unsteady oblique interaction of a shock wave with a plane disturbances. NACA 7W-2879. Also NACA Rep. 1165.
31. MORKOVIN, M. V. 1962 Effects of compressibility on turbulent flows. In Mechanique de la Turbulence, CNRS.
32. RIBNER, H. S. 1953 Convection of a pattern of vorticity through a shock wave. NACA 7W-2864. Also NACA Rep. 1164.
33. RIBNER, H. S. 1954 Shock-turbulence interaction and the generation of noise. NACA 77V-3255. Also NACA Rep. 1233.
34. RIBNER, H. S. 1969 Acoustic energy flux from shock-turbulence interaction. J. Fluid Mech. 35, 299–310.
35. RIBNER, H. S. 1987 Spectra of noise and amplified turbulence emanating from shock-turbulence interaction. AIAA J. 25, 436–442.
36. ROTMAN, D. 1991 Shock wave effects on a turbulent flow. Phys. Fluids A 3, 1792–1806.
37. SARKAR, S., ERLEBACHER, G., HUSSAINI, M. Y. & KREISS, H. O. 1991 The analysis and modeling of dilatational terms in compressible turbulence. J. Fluid Mech. 227, 473–493.
38. SHERMAN, F. S. 1955 A low-density wind-tunnel study of shock-wave structure and relaxation phenomena in gases. NACA 7W-3298.
39. SMITS, A. J. & MUCK, K.-C. 1987 Experimental study of three shock wave/turbulent boundary layer interactions. J. Fluid Mech. 182, 294–314.
40. TAULBEE, D. & OSDOL VAN J. 1991 Modeling turbulent compressible flows: the mass fluctuating velocity and squared density. AIAA Paper 91–0524.
41. TAVOULARIS, S., BENNETT, J. C. & CORRSIN, S. 1978 Velocity-derivative skewness in small Reynolds number, nearly isotropic turbulence. J. Fluid Mecft 176, 33–66.
42. THOMPSON, K. W., 1987 Time dependent boundary conditions for hyperbolic systems. J.Comput. Phys 68, 1–24.
43. THOMPSON, P. A. 1971 Compressible-Fluid Dynamics. McGraw-Hill.
44. TREFETHEN, L. N. 1982 Group velocity in finite difference schemes. SIAM Rev. 24, 113–136.
45. VICHNEVETSKY, R. 1986 Invariance theorems concerning reflection at numerical boundaries. J. Comput. Phys. 63, 268–282.
46. WRAY, A. A. 1986 Very low storage time-advancement schemes. Internal Rep. NASA-Ames Research Center, Moffett Field, CA.