Dynamic k-equation model for large-eddy simulation of compressible flows

Journal of Fluid Mechanics

Volumn 699, Issue , 2012, Pages 385-413

  Chai, Xiaochuan ^a   Mahesh, Krishnan ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

compressible turbulence; high speed flow; shock waves

Indexed keywords

BUDGET CONTROL; COMPRESSIBLE FLOW; KINETIC ENERGY; KINETICS; LARGE EDDY SIMULATION; SHOCK WAVES; TURBULENCE; VISCOSITY;

COMPRESSIBLE TURBULENCE; DYNAMIC SMAGORINSKY MODELS; ENERGY-TRANSPORT EQUATIONS; HIGH SPEED FLOWS; REYNOLDS AVERAGED NAVIER-STOKES EQUATIONS; THERMODYNAMIC QUANTITIES; TURBULENCE INTERACTIONS; TURBULENT INTENSITIES;

NAVIER STOKES EQUATIONS;

FLUID MECHANICS; KINETIC ENERGY; LARGE EDDY SIMULATION; NAVIER-STOKES EQUATIONS; REYNOLDS NUMBER; SHOCK WAVE; TURBULENT FLOW; VISCOSITY;

EID: 84864239417     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2012.115     Document Type: Article

References (47)

1. BEDFORD, K. W. & YEO, W. K. 1993 Conjunctive filtering procedures in surface water flow and transport. In Large Eddy Simulation of Complex Engineering and Geophysical Flows (ed. B. Galperin & S. A. Orszag), pp. 513-539. Cambridge University Press.
2. CHAI, X. & MAHESH, K. 2011 Simulations of high speed jets in cross-flows. AIAA Paper 2011-650.
3. CHOLLET, J. P. & LESIEUR, M. 1981 Parametrization of small scales of three-dimensional isotropic turbulence utilizing spectral closures. J. Atmos. Sci. 38, 2747-2757.
4. COMTE-BELLOT, G. & CORRSIN, S. 1971 Simple Eulerian time correlation of full-and narrow-band velocity signals in grid-generated isotropic turbulence. J. Fluid Mech. 48, 273.
5. DEARDORFF, J. W. 1973 Three-dimensional numerical modeling of the planetary boundary layer. In Workshop on Micrometeorology (ed. D. A. Haugen), pp. 271-311. American Meteorological Society.
6. DUBOIS, T., DOMARADZKI, J. A. & HONEIN, A. 2002 The subgrid-scale estimation model applied to large eddy simulations of compressible turbulence. Phys. Fluids 14 (5), 1781-1801.
7. ERLEBACHER, G., HUSSAINI, M. Y., KREISS, H. O. & SARKAR, S. 1990 The analysis and simulation of compressible turbulence. Theor. Comput. Fluid Dyn. 2, 73-95.
8. GARNIER, E., ADAMS, N. & SAGAUT, P. 2009 Large Eddy Simulation for Compressible Flows (Scientific Computation), 1st edn. Springer.
9. G'E NIN, F. & MENON, S. 2010 Dynamics of sonic jet injection into supersonic cross-flow. J. Turbul. 11, 1-13.
10. GERMANO, M., PIOMELLI, U., MOIN, P. & CABOT, M. 1991 A dynamic subgrid-scale eddy viscosity model. Phys. Fluids 3, 1760.
11. GHOSAL, S., LUND, T. S., MOIN, P. & AKSELVOLL, K. 1995 A dynamic localization model for large-eddy simulation of turbulent flows. J. Fluid Mech. 286, 229.
12. GHOSH, S. & MAHESH, K. 2008 Numerical simulation of the fluid dynamic effects of laser energy deposition in air. J. Fluid Mech. 605, 329-354.
13. HORIUTI, K. 1985 Large eddy simulation of turbulent channel flow by one-equation modeling. J. Phys. Soc. Japan 54, 2855-2865.
14. KRAICHNAN, R. H. 1964 Direct-interaction approximation for shear and thermally driven turbulence. Phys. Fluids 7 (7), 1048-1062.
15. KRAICHNAN, R. H. 1976 Eddy viscosity in two and three dimensions. J. Atmos. Sci. 33, 1521-1536.
16. LARSSON, J. & LELE, S. K. 2009 Direct numerical simulation of canonical shock/turbulence interaction. Phys. Fluids 21, 126101.
17. 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.
18. LESIEUR, M. & M'ETAIS, O. 1996 New trends in large-eddy simulations of turbulence. Annu. Rev. Fluid Mech. 28, 45-82.
19. LILLY, D. K. 1967 The representation of small-scale turbulence in numerical simulation experiments. In IBM Scientific Computing Symposium on Environmental Sciences, Yorktown Heights, pp. 195-210. IBM.
20. LILLY, D. K. 1991 A proposed modification of the Germano subgrid-scale closure method. Phys. Fluids A 3, 1760.
21. MAHESH, K., LELE, S. K. & MOIN, P. 1997 The influence of entropy fluctuations on the interaction of turbulence with a shock wave. J. Fluid Mech. 334, 353-379.
22. MASON, P. J. 1994 Large-eddy simulation: a critical review of the technique. Q. J. R. Meteorol. Soc. 120 (515), 1-26.
23. MENEVEAU, C. 1994 Statistics of turbulence subgrid-scale stresses: necessary conditions and experimental tests. Phys. Fluids 6 (2), 815-833.
24. MENEVEAU, C. & KATZ, J. 2000 Scale-invariance and turbulence models for large-eddy simulation. Annu. Rev. Fluid Mech. 32 (1), 1-32.
25. MENON, S. & KIM, W. W. 1996 High Reynolds number flow simulations using the localized dynamic subgrid-scale model. In AIAA 34th Aerospace Sciences Meeting and Exhibit. AIAA Paper 1996-0425.
26. M'E TAIS, O. & LESIEUR, M. 1992 Spectral large-eddy simulation of isotropic and stably stratified turbulence. J. Fluid Mech. 239, 157-194.
27. MOENG, C.-H. 1984 A large-eddy-simulation model for the study of planetary boundary-layer turbulence. J. Atmos. Sci. 41, 2052-2062.
28. MOIN, P., SQUIRES, K., CABOT, W. & LEE, S. 1991 A dynamic subgrid-scale model for compressible turbulence and scalar transport. Phys. Fluids A 3 (11), 2746-2757.
29. MUPPIDI, S. & MAHESH, K. 2011 DNS of roughness-induced transition in supersonic boundary layers. J. Fluid Mech. 693, 28-56.
30. PARK, N. & MAHESH, K. 2007 Numerical and modeling issues in LES of compressible turbulent flows on unstructured grids. AIAA Paper 2007-0722.
31. PIOMELLI, U., CABOT, W. H., MOIN, P. & LEE, S. 1991 Subgrid-scale backscatter in turbulent and transitional flows. Phys. Fluids A 3, 1766-1771.
32. POMRANING, E. & RUTLAND, C. J. 2002 Dynamic one-equation nonviscosity large-eddy simulation model. AIAA J. 40, 689-701.
33. RISTORCELLI, J. R. 1997 A pseudo-sound constitutive relationship for the dilatational covariances in compressible turbulence. J. Fluid Mech. 347, 37-70.
34. RISTORCELLI, J. R. & BLAISDELL, G. A. 1997 Consistent initial conditions for the DNS of compressible turbulence. Phys. Fluids 9 (1), 4-6.
35. 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.
36. SCHUMANN, U. 1975 Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli. J. Comput. Phys. 18 (4), 376-404.
37. SHAW, R. H. & SCHUMANN, U. 1992 Large-eddy simulation of turbulent flow above and within a forest. Boundary-Layer Meteorol. 61, 47-64.
38. SMAGORINSKY, J. 1963 General circulation experiments with the primitive equations. I. The basic experiment. Mon. Weath. Rev. 91, 99-165.
39. SMITH, L. M. & WOODRUFF, S. L. 1998 Renormaliztion-group analysis of turbulence. Annu. Rev. Fluid Mech. 30, 275-310.
40. SPEZIALE, C. G. 1991 Analytic methods for the development of Reynolds-stress closures in turbulence. Annu. Rev. Fluid Mech. 23, 107-157.
41. SPEZIALE, C. G., ERLEBACHER, G., ZANG, T. A. & HUSSAINI, M. Y. 1988 The subgrid-scale modeling of compressible turbulence. Phys. Fluids 31 (4), 940-942.
42. SPYROPOULOS, E. T. & BLAISDELL, G. A. 1996 Evaluation of the dynamic model for simulations of compressible decaying isotropic turbulence. AIAA J. 34 (5), 990-998.
43. VREMAN, B., GEURTS, B. & KUERTEN, H. 1995 Subgrid-modeling in LES of compressible flow. Appl. Sci. Res. 54, 191-203.
44. YAKHOT, A., ORSZAG, S. A. & YAKHOT, Y. 1989 Renormalization-group formulation of large-eddy simulations. J. Sci. Comput. 4, 139.
45. YEE, H. C, SANDHAM, N. D & DJOMEHRI, M. J 1999 Low-dissipative high-order shock-capturing methods using characteristic-based filters. J. Comput. Phys. 150 (1), 199-238.
46. YOSHIZAWA, A. 1986 Statistical theory for compressible turbulent shear flows, with the application to subgrid modeling. Phys. Fluids 29, 2152.
47. YOSHIZAWA, A. & HORIUTI, K. 1985 A statistically-derived subgrid-scale kinetic energy model for the large-eddy simulation of turbulent flows. J. Phys. Soc. Japan 54, 2834-2839.