Subgrid-scale interactions in a numerically simulated planar turbulent jet and implications for modelling

Journal of Fluid Mechanics

Volumn 408, Issue , 2000, Pages 83-120

  Akhavan, R ^a   Ansari, A ^a   Kang, S ^a   Mangiavacchi, N ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LARGE EDDY SIMULATION; MATHEMATICAL ANALYSIS; REYNOLDS NUMBER; TURBULENCE;

EID: 0033940481     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099007582     Document Type: Article

References (67)

1. ANSARI, A. 1993 Small-scale dynamics and subgrid interactions in turbulent shear flows. Doctoral thesis, The University of Michigan.
2. ANSELMET, F., GAGNE, Y., HOPFINGBR, E. J. & ANTONIA, R. A. 1984 Higher order velocity structure functions in turbulent shear flows. J. Fluid Mech. 140, 63-89.
3. BARDINA, J., FERZIGER, J. H. & REYNOLDS, W. C. 1980 Improved subgrid scale models for large eddy simulation. AIAA 13th Fluid & Plasma Dynamics Conference, Colorado.
4. BERTOGLIO, J. P. 1985 A stochastic-grid model for sheared turbulence. In Macroscopic Modelling of Turbulent Flows (ed. U. Frisch, J. B. Keller, G. Papanicolaou & O. Pironneau), pp. 100-119. Springer.
5. CARATI, D., GHOSAL, S. & MOIN, P. 1995 On the representation of backscatter in dynamic localization models. Phys. Fluids 3, 606-616.
6. CHASNOV, J. R. 1991 Simulation of the Kolmogorov inertial subrange using an improved subgrid model. Phys. Fluids A 3, 188-200.
7. CHOLLET, J. P. & LESIEUR, M. 1981 Parameterization of small scales of three-dimensional isotropic turbulence utilizing spectral closures. J. Atmos. Sci. 38, 2747-2757.
8. CLARK, R. A., FERZIGER, J. H. & REYNOLDS, W. C. 1979 Evaluation of subgrid-scale models using an accurately simulated turbulent flow. J. Fluid Mech. 91, 1-16.
9. DAUBECHIES, I. 1988 Orthonormal bases of compactly supported wavelets. Commun. Pure Appl. Maths 41, 909-996.
10. DOMARADZKI, J. A. 1992 Nonlocal triad interactions and the dissipation range of isotropic turbulence. Phys. Fluids A 4, 2037-2045.
11. DOMARADZKI, J. A., LIU, W. & BRACHET, M. E. 1993 An analysis subgrid-scale interactions in numerically simulated isotropic turbulence. Phys. Fluids A 5, 1747-1759.
12. DOMARADZKI, A., LIU, W., HARTEL, C. & KLEISER, L. 1994 Energy transfer in numerically simulated wall-bounded turbulent flows. Phys. Fluids A 4, 1583-1599.
13. DOMARADZKI, A., METCALFE, R. S., ROGALLO, R. S. & RILEY, J. J. 1987 Analysis of subgrid-scale eddy viscosity with the use of results from direct numerical simulations. Phys. Rev. Lett. 58, 547-550.
14. DOMARADZKI, A. & ROGALLO, R. S. 1990 Local energy transfer and nonlocal interactions in homogeneous, isotropic turbulence. Phys. Fluids A 2, 413-426.
15. DOMARADZKI, J. A. & SAIKI, E. M. 1997 A subgrid-scale model based on the estimation of unresolved scales of turbulence. Phys. Fluids 9, 2148-2164.
16. FARGE, M. 1992 Wavelet transforms and their application to turbulence. Ann. Rev. Fluid Mech. 24, 395-457.
17. FARGE, M., KEVLAHAN, N., PERRIER, V. & GOIRAND, E. 1996 Wavelets and turbulence. Proc. IEEE 84, 639-669.
18. FRISCH, U., SULEM, P. & NELKIN, M. 1978 A simple dynamical model of intermittent fully developed turbulence. J. Fluid Mech. 87, 719-736.
19. GALPERIN, B. & ORSZAG, S. A. 1993 Large-Eddy Simulation of Complex Engineering and Geophysical Flows. Cambridge University Press.
20. GERMANO, M. 1986 A proposal for a redefinition of the turbulent stresses in the filtered Navier-Stokes equations. Phys. Fluids 29, 2323-2324.
21. GERMANO, M., PIOMELLI, U., MOIN, P. & CABOT, W. H. 1991 A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3, 1760-1765.
22. GHOSAL, S. G., LUND, T. S., MOIN, P. & AKSELVOLL, K. 1995 A dynamic localization model for large-eddy simulation of turbulent flows. J. Fluid Mech. 286, 229-255.
23. HINZE, J. O. 1975 Turbulence McGraw-Hill.
24. HORIUTI, K. 1989 The role of the Bardina model in large eddy simulation of turbulent channel flow. Phys. Fluids A 1, 426-428.
25. HORIUTI, K. 1993 A proper velocity scale for modeling subgrid-scale viscosities in large eddy simulation. Phys. Fluids A 5, 146-157.
26. HORIUTI, K. 1997 A new dynamic two-parameter mixed model for large-eddy simulation Phys. Fluids A 9, 3443-3464.
27. KIDA, S. & MURAKAMI, Y. 1987 Kolmogorov similarity in freely decaying turbulence. Phys. Fluids 30, 2030-2039.
28. KOLMOGOROV, A. N. 1941 The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. C. R. Acad. Sci. USSR 30, 301-305.
29. KOLMOGOROV, A. N. 1961 A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. J. Fluid Mech. 13, 82-85.
30. KRAICHNAN, R. H. 1976 Eddy viscosity in two and three dimensions. J. Atmos. Sci. 33, 1521-1536.
31. KWAK, D., REYNOLDS, W. C. & FERZIGER, J. H. 1975 Three dimensional time dependent computation of turbulent flows. Mech. Engng Dept. Stanford Univ. Rep. TF-5.
32. LEITH, C. E. 1990 Stochastic backscatter in a subgrid-scale model: Plane shear mixing layer. Phys. Fluids A 2, 297-299.
33. LEONARD, A. 1974 Energy cascade in large-eddy simulations of turbulent fluid flows. Adv. Geophys. A 18, 237-248.
34. LESIEUR, M. 1991 Turbulence in Fluids. Kluwer.
35. LESIEUR, M. & METAIS, O. 1996 New trends in large-eddy simulations of turbulence. Ann. Rev. Fluid Mech. 28, 45-82.
36. LESLIE, D. C. & QUARINI, G. L. 1979 The application of turbulence theory to the formulation of subgrid modelling procedures. J. Fluid Mech. 91, 65-91.
37. LILLY, D. K. 1967 The presentation of small-scale turbulence in numerical simulation experiments. Proc. IBM Sci. Comput. Symp. on Environmental Sci., pp. 195-210.
38. LILLY, D. K. 1992 A proposed modification of the Germano subgrid-scale closure method. Phys. Fluids A 4, 633-635.
39. LIU, S., MENEVEAU, C. & KATZ, J. 1994 On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet. J. Fluid Mech. 275, 83-119.
40. LUND, T. S., GHOSAL, S. & MOIN, P. 1993 Numerical experiments with highly variable eddy viscosity models. In Engineering applications of Large Eddy Simulations (ed. S. A. Ragale & U. Piomelli). ASME FED, vol. 162, pp. 7-11.
41. MALLAT, S. G. 1989 A theory for multi-resolution signal decomposition: The wavelet representation. IEEE Trans. Pattern Anal. Mach. Int. 11, 674-693.
42. MASON, P. J. & THOMSON, D. J. 1992 Stochastic backscatter in large-eddy simulations of boundary layers. J. Fluid Mech. 242, 51-78.
43. MENEVEAU, C. 1991 Analysis of turbulence in the orthonormal wavelet representation. J. Fluid Mech. 232, 469-520.
44. MENEVEAU, C., LUND, T. S. & CABOT, W. H. 1996 A Lagrangian dynamic subgrid-scale model of turbulence. J. Fluid Mech. 319, 353-385.
45. METAIS, O. & FERZIGER, J. 1997 New Tools in Turbulence Modelling. Springer.
46. METAIS, O. & LESIEUR, M. 1992 Spectral large-eddy simulation of isotropic and stably stratified turbulence. J. Fluid Mech. 23, 157-194.
47. MONIN, A. S. & YAGLOM, A. M. 1981 Statistical Fluid Mechanics II. MIT Press.
48. O'NEIL, J. & MENEVEAU, C. 1997 Subgrid-scale stresses and their modelling in a turbulent plane wake. J. Fluid Mech. 349, 253-293.
49. OHKITANI, K. & KIDA, S. 1992 Triad interactions in a forced turbulence. Phys. Fluids A 4, 794-802.
50. PAO, Y. H. 1965 Structure of turbulent velocity and scalar fields at large wavenumbers. Phys. Fluids 8, 1063-1075.
51. PIOMELLI, U., CABOT, W. H., MOIN, P. & LEE, S. 1991 Subgrid-scale backscatter in turbulent and transitional flows. Phys. Fluids A 3, 1766-1771.
52. PIOMELLI, U. & LIU, J. 1995 Large-eddy simulation of rotating channel flows using a localized dynamic model. Phys. Fluids A 7, 839-848.
53. PIOMELLI, U., YU, Y. & ADRIAN, R. 1996 Subgrid-scale energy transfer and near-wall turbulence structure. Phys. Fluids 8, 215-224.
54. ROGALLO, R. & MOIN, P. 1984 Numerical simulation of turbulent flows. Ann. Rev. Fluid Mech. 16, 99-137.
55. SALVETTI, M. V. & BANERJEE, S. 1995 A priori tests of a new dynamic subgrid-scale model for finite-difference large-eddy simulations. Phys. Fluids A 7, 2831-2847.
56. SHAH, K. B. & FERZIGER, J. H. 1995 A new non-eddy viscosity subgrid-scale model and its application to channel flow. Center for Turbulence Research Ann. Res. Briefs, pp. 73-90.
57. SCHUMANN, U. 1975 Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli. J. Comput. Phys. 18, 376-404.
58. SCHUMANN, U. 1995 Stochastic backscatter of turbulence energy and scalar variance by random subgrid-scale fluxes. Proc. R. Soc. Lond. A 451, 193-318.
59. SMAGORINSKY, J. 1963 General circulation experiments with the primitive equations. Mon. Weath. Rev. 91, 99-164.
60. TENNEKES, H. & LUMLEY, J. L. 1972 A First Course in Turbulence. MIT Press.
61. TOWNSEND, A. A. 1949 The fully developed turbulent wake of a circular cylinder. Austral. J. Sci. Res. 2, 451-468.
62. VINCENT, A. & MENEGUZZI, M. 1991 The spatial structure and statistical properties of homogeneous turbulence. J. Fluid Mech. 225, 1-20.
63. WALEFFE, F. 1992 The nature of triad interactions in homogeneous turbulence. Phys. Fluids A 4, 350-363.
64. YAKHOT, A., ORSZAG, S. A., YAKHOT, V. & ISRAELI, M. 1989 Renormalization group formulation of large-eddy simulations. J. Sci. Comput. 4, 139-158.
65. ZANG, Y., STREET, R. L. & KOSEFF, J. R. 1993 A dynamic mixed subgrid-scale model and its application to turbulent recirculating flows. Phys. Fluids A 5, 3186-3196.
66. ZHOU, Y. 1993 Degrees of locality of energy transfer in the inertial range. Phys. Fluids A 5, 1092-1094.
67. ZHOU, Y. & VAHALA, G. 1993 Reformulation of recursive renormalization-group based subgrid modeling of turbulence. Phys. Rev. E 47, 2503.