Subgrid-scale modelling for the large-eddy simulation of high-Reynolds-number boundary layers

Journal of Fluid Mechanics

Volumn 336, Issue , 1997, Pages 151-182

  Kosović, Branko ^a  

^a UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BACKSCATTERING; BOUNDARY LAYER FLOW; COMPUTER SIMULATION; FLOW INTERACTIONS; PROBLEM SOLVING; REYNOLDS NUMBER; SHEAR FLOW; STATISTICS;

LARGE EDDY SIMULATIONS (LES); SUBGRID SCALE (SGS) MODELLING;

TURBULENT FLOW;

BOUNDARY LAYERS; MODELLING; REYNOLDS NUMBER; SIMULATION;

EDDIES; FLOW MODELLING; SUBGRID-SCALE PARAMETERIZATION;

EID: 0031126339     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096004697     Document Type: Article

References (63)

1. ANDRÉN, A., BROWN, A. R., GRAF, J., MASON, P. J., MOENG, C-H., NIEUWSTADT, F. T. M. & SCHUMANN, U. 1994 Large-eddy simulation of a neutrally stratified boundary layer: A comparison of four computer codes. Q. J. R. Met. Soc. 120, 1457-1484.
2. BACHELOR, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
3. BACHELOR, G. K. & TOWNSEND, A. A. 1947 Decay of vorticity in isotropic turbulence. Proc. R. Soc. Lond. A 199, 534-550.
4. BARDINA, J., FERZIGER, J. H. & ROGALLO, R. S. 1985 Effect of rotation on isotropic turbulence: computation and modelling. J. Fluid Mech. 154, 321-336.
5. BOUSSINESQ, J. 1877 Essai sur la thé des eaux courantes. Mémoires Preésentés par Divers Savants à l'Académie des Sciences. 23.
6. BUSINGER, J. A., WYNGAARD, J. C., IZUMI, Y. & BRADLEY, E. F. 1971 Flux-profile relationships in the atmospheric surface layer. J. Atmos. Sci. 28, 181-189.
7. CAMBON, C., BENOIT, J.-P., SHAO, L. & LAURENT, J. 1994 Stability analysis and large-eddy simulation of rotating turbulence with organized eddies. J. Fluid Mech. 278, 175-200.
8. CANUTO, V. M. & MINOTTI, F. 1993 Stratified turbulence in the atmosphere and oceans: a new subgrid model. J. Atmos. Sci. 50, 1925-1935.
9. CHAMPAGNE, F. H. 1978 The fine-scale structure of the turbulent velocity field. J. Fluid Mech. 86, 67-108.
10. COLEMAN, B. D. & NOLL, W. 1960 Recent results in the continuum theory of viscoelastic fluids. Arch. Rat. Mech. Anal. 3, 355-370.
11. DE SOUZA, F. A., NGUYEN, V. D. & TAVOULARIS, S. 1995 The structure of highly sheared turbulence. J. Fluid Mech. 303, 155-167.
12. DEARDORFF, J. W. 1970 A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J. Fluid Mech. 41, 453-480.
13. DOMARADZKI, J. A., LIU, W. & BRACHET, M. E. 1993 An analysis of subgrid-scale interactions in numerically simulated isotropic turbulence. Phys. Fluids A 5, 1747-1759.
14. DUTTON, J. A. 1995 Dynamics of Atmospheric Motion. Dover.
15. FOIAS, C., MANLEY, O. P. & TEMAM, R. 1988 Modelling of the interaction of small and large eddies in two dimensional turbulent flows. Math. Model. Numer. Anal. 22, 93-114.
16. FOIAS, C., MANLEY, O. P. & TEMAM, R. 1991 Approximate inertial manifolds and effective viscosity in turbulent flows. Phys. Fluids 3, 898-911.
17. GATSKI, T. B. & SPEZIALE, C. G. 1993 On explicit algebraic stress models for complex turbulent flows. J. Fluid Mech. 254, 59-78.
18. GERMANO, M., PIOMELLI, U., MOIN, P. & CABOT, W. H. 1991 A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3, 1760-1770.
19. KIM, H. T., KLEIN, S. J. & REYNOLDS, W. C. 1971 The production of turbulence near a smooth wall in a turbulent boundary layers. J. Fluid Mech. 50, 133-160.
20. KOLMOGOROV, A. N. 1941 The local structure of turbulence in incompressible viscous fluid for very large Reynolds' numbers. Dokl. Akad. Nauk SSSR 30 (4). Reprinted in Proc. R. Soc. Lond. A 1991, 434, 9-13.
21. KOLMOGOROV, A. N. 1941 The local structure of turbulence in incompressible viscous fluid for very large Reynolds' numbers. Dokl. Akad. Nauk SSSR 30 (4). Reprinted in Proc. R. Soc. Lond. A 1991, 434, 9-13.
22. LEIGH, D. C. 1962 Non-Newtonian fluids and the second law of thermodynamics. Phys. Fluids 5, 501-502.
23. LEITH, C. E. 1990 Stochastic backscatter in a subgrid-scale model: Plane shear mixing layer. Phys. Fluids A 2, 297-299.
24. 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.
25. LILLY, D. K. 1966 On the application of the eddy viscosity concept in the inertial sub-range of turbulence. NCAR Manuscript 123, NCAR, Boulder, CO.
26. LILLY, D. K. 1967 The representation of small-scale turbulence in numerical experiment. In Proc. IBM Scientific Computing Symposium on Environmental Sciences. IBM, White Plains, NY.
27. LUMLEY, J. L. 1970 Toward a turbulent constitutive relation. J. Fluid Mech. 41, 413-434.
28. LUND, T. S. & NOVIKOV, E. A. 1992 Parameterization of subgrid-scale stress by the velocity gradient tensor. In Annual Research Briefs, pp. 27-43 Center for Turbulence Research, NASA Ames (Stanford University), Stanford, CA.
29. MASON, P. J. 1994 Large-eddy simulation: A critical review of the technique. Q. J. R. Met. Soc. 120, 1-35.
30. MASON, P. J. & THOMSON, D. J. 1987 Large-eddy simulations of the neutral-static-stability planetary boundary layer. Q. J. R. Met. Soc. 113, 413-443.
31. MASON, P. J. & THOMSON, D. J. 1992 Stochastic backscatter in large-eddy simulations of boundary layers. J. Fluid Mech. 242, 51-78.
32. MCCOMB, W. D. 1990 The Physics of Fluid Turbulence. Oxford University Press.
33. MOENG, C.-H. 1984 A large-eddy-simulation model for the study of planetary boundary layer turbulence. J. Atmos. Sci. 41, 2052-2062.
34. MOENG, C.-H. & SULLIVAN, P. P. 1994 A comparison of shear- and buoyancy-driven planetary boundary layer flows. J. Atmos. Sci. 51, 999-1022.
35. MOIN, P. & KIM, J. 1982 Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341-377.
36. PIOMELLI, U., CABOT, W. H., MOIN, P. & LEE, S. 1991 Subgrid-scale backscatter in turbulent and transitional flows. Phys. Fluids A 3, 1766-1771.
37. PIOMELLI, U., MOIN, P. & FERZIGER, J. H. 1988 Model consistency in large eddy simulation of turbulent channel flows. Phys. Fluids 31, 1884-1891.
38. PIOMELLI, U., YUNFANG, Y. & ADRIAN, R. J. 1996 Subgrid-scale energy transfer and near-wall turbulence structure. Phys. Fluids 8, 215-224.
39. POPE, S. B. 1975 A more general effective-viscosity hypothesis. J. Fluid Mech. 72, 331-340.
40. PRANDTL, L. 1925 Bericht über Untersuchungen zur ausgebildeten Turbulenz. Z. Angew. Math. Mech. 5, 136-139.
41. RIVLIN, R. S. 1957 The relation between the flow of non-Newtonian fluids and turbulent Newtonian fluids. J. Rat. Mech. Anal. 15, 213-215.
42. RIVLIN, R. S. & ERICKSEN, J. L. 1955 Stress-deformation relationships for isotropic materials. J. Rat. Mech. Anal. 4, 323-425.
43. ROGERS, M. M. & MOIN, P. 1987 The structure of the vorticity field in homogeneous turbulent flows. J. Fluid Mech. 176, 33-66.
44. ROSE, W. G. 1966 Results of an attempt to generate a homogeneous turbulent shear flow. J. Fluid Mech. 25, 97-120.
45. RUBINSTEIN, R. & BARTON, M. J. 1990 Nonlinear Reynolds stress models and the renormalization group. Phys. Fluids A 2, 1472-1476.
46. SCHUMANN, U. 1975 Subgrid scale model for finite difference simulation of turbulent flows in plane channels and annuli. J. Comput. Phys. 18, 376-404.
47. SCHUMANN, U. 1995 Stochastic backscatter of turbulence energy and scalar variance by random subgrid-scale fluxes. Proc. R. Soc. Lond. A 451, 293-318.
48. SERRIN, J. 1959 Mathematical principles of classical fluid mechanics. In Handbuch der Physik., vol. 8, pp. 126-263.
49. SMAGORINSKY, J. 1963 General circulation experiments with the primitive equations. Mon. Weath. Rev. 91, 99-164.
50. SPENCER, A. J. M. & RIVLIN, R. S. 1959 The theory of matrix polynomials and its application to the mechanics of isotropic continua. Arch. Rat. Mech. Anal. 2, 309-336.
51. SPEZIALE, C. G. 1981 Some interesting properties of two-dimensional turbulence. Phys. Fluids. 24, 1425-1427.
52. SPEZIALE, C. G. 1985 Galilean invariance of subgrid-scale stress models in the large-eddy simulation of turbulence. J. Fluid Mech. 156, 55-62.
53. SPEZIALE, C. G. 1987 On nonlinear K - ι and K - ε models of turbulence. J. Fluid Mech. 178, 459-475.
54. SPEZIALE, C. G. 1991 Analytical methods for the development of Reyolds-stress closures in turbulence. Ann. Rev. Fluid Mech. 23, 107-157.
55. SULLIVAN, P. P., MCWILLIAMS, J. C. & MOENG, C.-H. 1994 A subgrid-scale model for large-eddy simulation of planetary boundary-layer flows. Boundary-Layer Met. 71, 247-276.
56. TAVOULARIS, S. & CORRSIN, S. 1981 Experiments in nearly homogeneous turbulent shear flow with a uniform mean temperature gradient. Part 1. J. Fluid Mech. 104, 311-347.
57. TENNEKES, H. & LUMLEY, J. L. 1972 First Course in Turbulence. The MIT Press.
58. TRUESDELL, C. A. 1977 A First Course In Rational Continuum Mechanics. Academic.
59. TRUESDELL, C. A. & NOLL, W. 1965 The Non-Linear Field Theories of Mechanics. Springer.
60. VREMAN, B., GEURTS, B. & KUERTEN, H. 1994 Realizability conditions for the turbulent stress tensor in large-eddy simulation. J. Fluid Mech. 278, 351-362.
61. WONG, V. C. 1992 A proposed statistical-dynamic closure method for the linear or nonlinear subgrid-scale stresses. Phys. Fluids A 4, 1080-1082.
62. WYNGAARD, J. C. & TENNEKES, H. 1970 Measurements of the Small-Scale Structure of Turbulence at Moderate Reynolds Numbers. Phys. Fluids 13, 1962-1969.
63. YOSHIZAWA, A. 1984 Statistical analysis of the deviation of the Reynolds stress form its eddy-viscosity representation. Phys. Fluids 27, 1377-1387.