Large-eddy simulation of mixing in a recirculating shear flow

Journal of Fluid Mechanics

Volumn 646, Issue , 2010, Pages 375-414

  Matheou, Georgios ^a   Bonanos, Aristides M ^a   Pantano, Carlos ^b   Dimotakis, Paul E ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EXPANSION; LARGE EDDY SIMULATION; MIXING; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS;

BETA DISTRIBUTIONS; COMPLEX CONFIGURATION; ENHANCED MIXING; MIXTURE FRACTION; MOLECULAR SCALE; PRIMARY OBJECTIVE; TOTAL-PRESSURE LOSS; TURBULENT MIXING;

SHEAR FLOW;

COMPUTER SIMULATION; FLOW MODELING; LARGE EDDY SIMULATION; MIXING; PROBABILITY DENSITY FUNCTION; SHEAR FLOW; TURBULENT FLOW;

EID: 77952388575     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009992965     Document Type: Article

References (110)

1. Akselvoll, K. & Moin, P. 1996 Large-eddy simulation of turbulent confined coannular jets. J. Fluid Mech. 315, 387-411.
2. Andreopoulos, J. 1985 On the structure of jets in a crossflow. J. Fluid Mech. 157, 163-197.
3. Andreopoulos, J. & Rodi, W. 1984 Experimental investigation of jets in a crossflow. J. Fluid Mech. 138, 93-127.
4. Arienti, M., Hung, P., Morano, E. & Shepherd, J. E. 2003 A level set approach to Eulerian-Lagrangian coupling. J. Comput. Phys. 185 (1), 213-251.
5. Becker, H. A., Hottel, H. C. & Williams, G. C. 1967 Nozzle-fluid concentration field of round turbulent free jet. J. Fluid Mech. 30, 285-303.
6. Ben-Yakar, A., Mungal, M. G. & Hanson, R. K. 2006 Time evolution and mixing characteristics of hydrogen and ethylene transverse jets in supersonic crossflows. Phys. Fluids 18 (2), 026101:1-16.
7. Bergthorson, J. M., Johnson, M. B., Bonanos, A. M., Slessor, M. D., Su, W.-J. & Dimotakis, P. E. 2009 Molecular mixing and flowfield measurements in a recirculating shear flow. Part I. Subsonic flow. Flow Turbul. Combust. 83 (2), 251-268.
8. Bilger, R. W. 1975 A note on Favre averaging in variable density flows. Combust. Sci. Technol. 11, 215-217.
9. Bilger, R. W. 1977 Comment on 'Structure of turbulent shear flows: a new look'. AIAA J. 15 (7), 1056.
10. Bonanos, A. M., Bergthorson, J. M. & Dimotakis, P. E. 2009 Molecular mixing and flowfield measurements in a recirculating shear flow. Part II. Supersonic flow. Flow Turbul. Combust. 83 (2), 269-292.
11. Bond, C. L. 1999 Reynolds number effects on mixing in the turbulent shear layer. PhD thesis, California Institute of Technology, http://resolver.caltech. edu/CaltechETD:etd-03242005-4162912
12. Brown, G. L. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775-816.
13. Bryan, G. H., Wyngaard, J. C. & Fritsch, J. M. 2003 Resolution requirements for the simulation of deep moist convection. Monthly Weather Review 131, 2394-2416.
14. Burton, G. C. 2008a The nonlinear large-eddy simulation method applied to Sc ≈1 and Sc 1 passive-scalar mixing. Phys. Fluids 20 (3) 035103.
15. Burton, G. C. 2008b Scalar-energy spectra in simulations of Sc 1 mixing by turbulent jets using the nonlinear large-eddy simulation method. Phys. Fluids 20 (7) 071701.
16. Callenaere, M., Franc, J. P., Michel, J. M. & Riondet, M. 2001 The cavitation instability induced by the development of a re-entrant jet. J. Fluid Mech. 444, 223-256.
17. Chow, F. K. & Moin, P. 2003 A further study of numerical errors in large-eddy simulations. J. Comput. Phys. 184 (2), 366-380.
18. Clemens, N. T. & Mungal, M. G. 1995 Large-scale structure and entrainment in the supersonic mixing layer. J. Fluid Mech. 284, 171-216.
19. Cook, A. W., Cabot, W. & Miller, P. L. 2004 The mixing transition in Rayleigh-Taylor instability. J. Fluid Mech. 511, 333-362.
20. Cook, A. W. & Riley, J. J. 1994 A subgrid model for equilibrium chemistry in turbulent flows. Phys. Fluids 6 (8), 2868-2870.
21. Curran, E. T. 2001 Scramjet engines: the first forty years. J. Propul. Power 17 (6), 1138-1148.
22. Curran, E. T. & Murthy, S. N. B. (Eds.) 2000 Scramjet Propulsion, Progress in Astronautics and Aeronautics, vol.189. AIAA.
23. Deiterding, R. 2003 Parallel adaptive simulation of multi-dimensional detonation structures. PhD thesis, Brandenburgischen Technischen Universitat Cottbus.
24. Deiterding, R. 2004 AMROC\Blockstructured adaptive mesh refinement in object-oriented C++. http://amroc.sourceforge.net.
25. Dimotakis, P. E. 1986 Two-dimensional shear-layer entrainment. AIAA J. 24, 1791-1796.
26. Dimotakis, P. E. 1991 Turbulent free shear layer mixing and combustion. In High-Speed Propulsion Systems (ed. S. N. B. Murthy & E. T Curran), Progress in Astronautics and Aeronautics, vol.137, pp. 265-340. AIAA.
27. Dimotakis, P. E. 2000 The mixing transition in turbulent flows. J. Fluid Mech. 409, 69-98.
28. Dimotakis, P. E. 2005 Turbulent mixing. Annu. Rev. Fluid Mech. 37, 329-356.
29. Dimotakis, P. E. & Brown, G. L. 1976 The mixing layer at high Reynolds number: large-structure dynamics and entrainment. J. Fluid Mech. 78, 535-560.
30. Dimotakis, P. E. & Hall, J. L. 1987 A simple model for finite chemical kinetics analysis of supersonic turbulent shear layer combustion. AIAA Paper 87-1879.
31. Dimotakis, P. E. & Miller, P. L. 1990 Some consequences of the boundedness of scalar fluctuations. Phys. Fluids 2 (11), 1919-1920.
32. Dowling, D. R. & Dimotakis, P. E. 1990 Similarity of the concentration field of gas-phase turbulent jets. J. Fluid Mech. 218, 109-141.
33. Eaton, J. K. & Johnston, J. P. 1981 A review of research on subsonic turbulent flow reattachment. AIAA J. 19 (9), 1093-1100.
34. Fedkiw, R. P., Aslam, T., Merriman, B. & Osher, S. 1999 A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). J. Comput. Phys. 152 (2), 89-112.
35. Freund, J. B., Lele, S. K. & Moin, P. 2000 Compressibility effects in a turbulent annular mixing layer. Part 1. Turbulence and growth rate. J. Fluid Mech. 421, 229-267.
36. Gao, F. & O'Brien, E. E. 1993 A large-eddy simulation scheme for turbulent reacting flows. Phys. Fluids A 5 (6), 1282-1284.
37. George, W. K. 1989 Self-preservation of turbulent flows and its relation to initial conditions and coherent structures. In Advances in Turbulence (ed. W. K. George & R. Arndt), pp. 39-74. Hemisphere.
38. Germano, M., Piomelli, U., Moin, P. & Cabot, W. H. 1991 A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3 (7), 1760-1765.
39. Ghosal, S. 1996 An analysis of numerical errors in large-eddy simulations of turbulence. J. Comput. Phys. 125, 187-206.
40. Ghosal, S. 1999 Mathematical and physical constraints on large-eddy simulation of turbulence. AIAA J. 37, 425-433.
41. Gottlieb, S., Shu, C. W. & Tadmor, E. 2001 Strong stability-preserving high-order time discretization methods. SIAM Rev. 43 (1), 89-112.
42. Hall, J. L. 1991 An experimental investigation of structure, mixing and combustion in compressible turbulent shear layers. PhD thesis, California Institute of Technology, http://resolver.caltech.edu/CaltechETD:etd-09232005- 10141544
43. Hall, J. L., Dimotakis, P. E. & Roseman, H. 1991 Some measurements of molecular mixing in compressible turbulent shear layers. AIAA Paper 91-1719.
44. Harris, F.J. 1978 On the use of windows for harmonic analysis with the discrete Fourier transform. Proc. IEEE 66 (1), 51-83.
45. Hermanson, J. C. & Dimotakis, P. E. 1989 Effects of heat release in a turbulent, reacting shear layer. J. Fluid Mech. 199, 333-375.
46. Hill, D. J., Pantano, C. & Pullin, D. I. 2006 Large-eddy simulation and multiscale modelling of a Richtmer-Meshkov instability with reshock. J. Fluid Mech. 557, 29-61.
47. Hill, D. J. & Pullin, D. I. 2004 Hybrid tuned centre-difference-WENO method for large eddy simulations in the presence of strong shocks. J. Comput. Phys. 194 (2), 435-450.
48. Hollo, S. D., McDaniel, J. C. & R. J. Hartfield, Jr. 1994 Quantitative investigation of compressible mixing: staged transverse injection into Mach 2 flow. AIAA J. 32 (3), 528-534.
49. Honein, A. E. & Moin, P. 2004 Higher entropy conservation and numerical stability of compressible turbulence simulations. J. Comput. Phys. 201 (2), 531-545.
50. Island, T. C., Urban, W. D. & Mungal, M. G. 1996 Quantitative scalar measurements in compressible mixing layers. AIAA Paper 1996-10685
51. Jiménez, J., Liñán, A., Rogers, M. M. & Higuera, F. J. 1997 A priori testing of subgrid models for chemically reacting non-premixed turbulent shear flows. J. Fluid Mech. 349, 149-171.
52. Johnson, M. B. 2005 Aerodynamic control and mixing with ramp injection. Engineer's thesis, California Institute of Technology, http://resolver.caltech. edu/CaltechETD:etd-05262005-6112117
53. Kannepalli, C. & Piomelli, U. 2000 Large-eddy simulation of a three-dimensional shear-driven turbulent boundary layer. J. Fluid Mech. 423, 175-203.
54. Kerstein, A. R. 1988 A linear-eddy model of turbulent scalar transport and mixing. Combust. Sci. Technol. 60 (4), 391-421.
55. Knapp, R. T., Daily, J. W. & Hammitt, F. G. 1970 Cavitation. McGraw-Hill.
56. Konrad, J. H. 1976 An experimental investigation of mixing in two-dimensional turbulent shear flows with applications to diffusion-limited chemical reactions. PhD thesis, California Institute of Technology, http://resolver.caltech.edu/CaltechETD:etd-10132005-11105700
57. Koochesfahani, M. M. & Dimotakis, P. E. 1986 Mixing and chemical reactions in a turbulent liquid mixing layer. J. Fluid Mech. 170, 83-112.
58. Kosovic, B., Pullin, D. I. & Samtaney, R. 2002 Subgrid-scale modelling for large-eddy simulations of compressible turbulence. Phys. Fluids 14, 1511-1522.
59. Le Ribault, C. 2008 Large eddy simulation of passive scalar in compressible mixing layers. Intl J. Heat Mass Transfer 51 (13-14), 3514-3524.
60. Le Ribault, C., Sarkar, S. & Stanley, S. A. 2001 Large eddy simulation of evolution of a passive scalar in plane jet. AIAA J. 39 (8), 1509-1515.
61. Leonard, A. 1974 Energy cascade in large-eddy simulations of turbulent fluid flows. Adv. Geophys. 18, 237-248.
62. Lesieur, M. & Metais, O. 1996 New trends in large-eddy simulations of turbulence. Annu. Rev. Fluid Mech. 28, 45-82.
63. Lundgren, T. S. 1982 Strained spiral vortex model for turbulent fine structure. Phys. Fluids 25, 2193-2203.
64. Matheou, G., Pantano, C. & Dimotakis, P. E. 2008 Verification of a fluid-dynamics solver using correlations with linear stability results. J. Comput. Phys. 227 (11), 5385-5396.
65. Meneveau, C. & Katz, J. 2000 Scale-invariance and turbulence models for large-eddy simulation. Annu. Rev. Fluid Mech. 32, 1-32.
66. Metais, O. & Lesieur, M. 1992 Spectral large-eddy simulation of isotropic and stably stratified turbulence. J. Fluid Mech. 239, 157-194.
67. Meyers, J., Geurts, B. J. & Baelmans, M. 2003 Database analysis of errors in large-eddy simulation. Phys. Fluids 15 (9), 2740-2755.
68. Miller, P. L. & Dimotakis, P. E. 1996 Measurements of scalar power spectra in high Schmidt number turbulent jets. J. Fluid Mech. 308, 129-146.
69. Misra, A. & Pullin, D. I. 1997 A vortex-based subgrid stress model for large-eddy simulation. Phys. Fluids 9, 2443-2454.
70. Moin, P., Squires, K., Cabot, W. & Lee, S. 1991 A dynamic subgrid-scale model for compressible turbulence and scalar transport. Phys. Fluids A 7 (11), 2746-2757.
71. Mungal, M. G. & Dimotakis, P. E. 1984 Mixing and combustion with low heat release in a turbulent shear layer. J. Fluid Mech. 148, 349-382.
72. Osher, S. & Sethian, J. 1988 Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79 (1), 12-49.
73. Pantano, C., Deiterding, R., Hill, D. J. & Pullin, D. I. 2007 A low-numerical dissipation patch-based adaptive mesh refinement method for large-eddy simulation of compressible flows. J. Comput. Phys. 221 (1), 63-87.
74. Pantano, C., Pullin, D. I., Dimotakis, P. E. & Matheou, G. 2008 LES approach for high Reynolds number wall-bounded flows with application to turbulent channel flow. J. Comput. Phys. 227 (21), 9271-9291.
75. Papamoschou, D. & Roshko, A. 1988 The compressible turbulent shear layer: an experimental study. J. Fluid Mech. 197, 453-477.
76. Peters, N. 2000 Turbulent combustion. Cambridge University Press.
77. Piacsek, S. A. & Williams, G. P. 1970 Conservation properties of convection difference schemes. J. Comput. Phys. 6, 392-405.
78. Pierce, C. D. & Moin, P. 1998 A dynamic model for subgrid-scale variance and dissipation rate of a conserved scalar. Phys. Fluids 10 (12), 3041-3044.
79. Piomelli, U. 1999 Large-eddy simulation: achievements and challenges. Progr. Aero. Sci. 35 (4), 335-362.
80. Pitsch, H. 2006 Large-eddy simulation of turbulent combustion. Annu. Rev. Fluid Mech. 38, 453-482.
81. Poinsot, T. J. & Lele, S. K. 1992 Boundary-conditions for direct simulations of compressible viscous flows. J. Comput. Phys. 101 (1), 104-129.
82. Pope, S. B. 2004a Ten questions concerning the large-eddy simulation of turbulent flows. Ne w J. Phys. 6, 35.
83. Pope, S. B. 2004b Turbulent Flows. Cambridge University Press.
84. Pratte, R. D. & Baines, W. D. 1967 Profiles of the round turbulent jet in a crossflow. J. Hydraul. Div. Proc. ASCE 93 (6), 53-64.
85. Pullin, D. I. 2000 A vortex-based model for the subgrid flux of a passive scalar. Phys. Fluids 12, 2311-2316.
86. Pullin, D. I. & Lundgren, T. S. 2001 Axial motion and scalar transport in stretched spiral vortices. Phys. Fluids 13, 2553-2563.
87. Pullin, D. I. & Saffman, P. G. 1994 Reynolds stresses and one-dimensional spectra for a vortex model of homogeneous anisotropic turbulence. Phys. Fluids 6, 1787-1796.
88. Rai, M. M. 1986 A conservative treatment of zonal boundaries for Euler equation calculations. J. Comput. Phys. 62 (2), 472-503.
89. Rossmann, T., Mungal, M. G. & Hanson, R. K. 2004 Mixing efficiency measurements using a modified cold chemistry technique. Exp. Fluids 37, 566-576.
90. Rudy, D. H. & Strikwerda, J. C. 1981 Boundary-conditions for subsonic compressible Navier-Stokes calculations. Comput. Fluids 9 (3), 327-338.
91. Sankaran, V. & Menon, S. 2005 LES of scalar mixing in supersonic shear layers. Proc. Combust. Inst. 30, 2835-2842.
92. Shan, J. W. & Dimotakis, P. E. 2006 Reynolds-number effects and anisotropy in transverse-jet mixing. J. Fluid Mech. 566, 47-96.
93. She, Z. S., Jackson, E. & Orszag, S. A. 1990 Intermittent vortex structures in homogeneous isotropic turbulence. Nature 344 (6263), 226-228.
94. Slessor, M. D., Bond, C. L. & Dimotakis, P. E. 1998 Turbulent shear-layer mixing at high Reynolds numbers: effects of inflow conditions. J. Fluid Mech. 376, 115-138.
95. Slessor, M. D., Zhuang, M. & Dimotakis, P. E. 2000 Turbulent shear-layer mixing: growth-rate compressibility scaling. J. Fluid Mech. 414, 35-45.
96. Smagorinsky, J. 1963 General circulation experiments with the primitive equations. I. The basic experiment. Mon. Weather Rev. 91, 99-164.
97. Smith, S. H. & Mungal, M. G. 1998 Mixing, structure and scaling of the jet in crossflow. J. Fluid Mech. 357, 83-122.
98. Spaid, F. W. & Zukoski, E. E. 1968 Secondary injection of gases into a supersonic flow. AIAA J. 6 (2), 205-212.
99. Stevens, D. E., Ackerman, A. S. & Bretherton, C. S. 2002 Effects of domain size and numerical resolution on the simulation of shallow cumulus convection. J. Atmos. Sci. 59, 3285-3301.
100. Strand, B. 1994 Summation by parts for finite-difference approximations for d/dx. J. Comput. Phys. 110 (1), 47-67.
101. Stratford, B. S. 1959 The prediction of separation of the turbulent boundary layer. J. Fluid Mech. 5, 1-16.
102. Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.
103. Thompson, K. W. 1987 Time dependent boundary conditions for hyperbolic systems. J. Comput. Phys. 68, 1-24.
104. Voelkl, T., Pullin, D. I. & Chan, D. C. 2000 A physical-space version of the stretched-vortex subgrid-stress model for large-eddy simulation. Phys. Fluids 12, 1810-1825.
105. Vreman, B., Geurts, B. & Kuerten, H. 1996 Comparison of numerical schemes in large-eddy simulation of the temporal mixing layer. Intl J. Numer. Methods Fluids 22 (4), 297-311.
106. Warhaft, Z. 2000 Passive scalars in turbulent flows. Annu. Rev. Fluid Mech. 32 (1), 203-240.
107. Wesseling, P. 2001 Principles of Computational Fluid Dynamics. Springer.
108. Williams, F. A. 1985 Combustion Theory. Addison Wiley.
109. Zang, T. A. 1991 On the rotation and skew-symmetric forms for incompressible flow simulations. Appl. Numer. Math. 7 (1), 27-40.
110. Zukoski, E. E. & Spaid, F. W. 1964 Secondary injection of gases into a supersonic flow. AIAA J. 2 (10), 1689-1696.