A Lagrangian dynamic subgrid-scale model of turbulence

Journal of Fluid Mechanics

Volumn 319, Issue , 1996, Pages 353-385

  Meneveau, Charles ^a   Lund, Thomas S ^b   Cabot, William H ^b  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CHANNEL FLOW; CONVERGENCE OF NUMERICAL METHODS; CORRELATION METHODS; INTEGRATION; INTERPOLATION; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS;

DYNAMIC LAGRANGIAN SUBGRID SCALE MODEL; SMAGORINSKY EDDY VISCOSITY MODEL;

TURBULENCE;

FLUID MECHANICS; MODELLING-MATHEMATICAL; TURBULENCE;

EID: 0030185128     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096007379     Document Type: Article

References (40)

1. AKSELVOLL, K. & MOIN, P. 1993 Application of the dynamic localization model to large-eddy simulation of turbulent flow over a backward-facing step. In Engineering Applications to Large-Eddy Simulation (ed. U. Piomelli & S. Ragab), pp. 1-6. ASME.
2. BARDINA, J., FERZIGER, J. H. & REYNOLDS, W. C. 1980 Improved subgrid scale models for large eddy simulation. AIAA Paper 80-1357.
3. BRISCOLINI, M. & SANTANGELO, P. 1994 The non-Gaussian statistics of the velocity field in low-resolution large-eddy simulation of homogeneous turbulence. J. Fluid Mech. 270, 199-217.
4. CARATI, D., GHOSAL, S. & MOIN, P. 1995 On the representation of backscatter in dynamic localization models. Phys. Fluids 7, 606-616.
5. CHASNOV, J. R. 1991 Simulation of the Kolmogorov inertial subrange using an improved subgrid model. Phys. Fluids A 3, 188-200.
6. CHOLLET, J. P. & LESIEUR, M. 1981 Parameterization of small scales of three-dimensional isotropic turbulence utilizing spectral closures. J. Atmos. Sci. 38, 2747-2757.
7. CLARK, R. A., FERZIGER, J. H. & REYNOLDS, W. C. 1979 Evaluation of subgrid-scale turbulence models using an accurately simulated turbulent flow. J. Fluid Mech. 91, 1-16.
8. COMTE-BELLOT, G. & CORRSIN, S. 1971 Simple Eulerian time correlation in full and narrow band velocity signals in grid generated, isotropic turbulence. J. Fluid Mech. 48, 273-337.
9. GERMANO, M., PIOMELLI, U., MOIN, P. & CABOT, W. H. 1991 A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3, 1760-1765.
10. GHOSAL, S., LUND, T. S., MOIN, P. & AKSELVOLL, K. 1995 A dynamic localization model for large-eddy simulation of turbulent flow. J. Fluid Mech. 286, 229-255.
11. HUSSAIN, A. K. M. F. & REYNOLDS, W. C. 1970 The mechanics of a perturbation wave in turbulent shear flow. Stanford Univ. Dept. of Mech. Eng. Rep. FM-6.
12. JIMENEZ, J., WRAY, A. A., SAFFMAN, P. G. & ROGALLO, R. S. 1993 The structure of intense vorticity in isotropic turbulence. J. Fluid Mech. 255, 65-90.
13. KIM, J., MOIN, P. & MOSER, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133-166.
14. KRAICHNAN, R. H. 1976 Eddy viscosity in two and three dimensions. J. Atmos. Sci. 33, 1521-1576.
15. LEITH, C. 1990 Stochastic backscatter in a subgrid-scale model: plane shear mixing layer. Phys. Fluids A 2, 297-299.
16. 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.
17. LILLY, D. K. 1967 The representation of small-scale turbulence in numerical simulation experiments. In Proc. IBM Sci. Comput. Symp. on Environmental Sciences, IBM Form No. 320-1951, pp. 195-210.
18. LILLY, D. K. 1992 A proposed modification of the Germano subgrid-scale closure method Phys. Fluids A 4, 633-635.
19. 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.
20. LIU, S., MENEVEAU, C. & KATZ, J. 1995 Experimental study of similarity SGS models of turbulence in the far-field of a jet. Appl. Sci. Res. 54 177-190.
21. LUND, T. S., GHOSAL, S & MOIN, P. 1993 Numerical experiments with highly-variable eddy viscosity models. In Engineering Applications to Large-Eddy Simulation (ed. U. Piomelli & S. Ragab), pp. 7-11.
22. LUND, T. S. & NOVIKOV, E. A. 1992 Parameterization of subgrid-scale stress by the velocity gradient tensor. In Annual Research Briefs, Center for Turbulence Research, Stanford University, pp. 27-43.
23. MASON, P. & THOMSON, D. 1992 Stochastic backscatter in large-eddy simulations of boundary layers. J. Fluid Mech. 242, 51-78.
24. MCMILLAN, O. J. & FERZIGER, J. H. 1979 Direct testing of subgrid-scale models. AIAA J. 17, 1340-1346.
25. MENEVEAU, C. 1994 Statistics of turbulence subgrid-scale stresses: Necessary conditions and experimental tests. Phys. Fluids 6, 815-833.
26. MENEVEAU, C. & LUND, T. S. 1994 On the Lagrangian nature of the turbulence energy cascade. Phys. Fluids 6, 2820-2825.
27. MENEVEAU, C., LUND, T. S. & MOIN, P. 1992 Search for subgrid scale parameterization by projection pursuit regression. In Proc. Summer Program 1992 Stanford University, vol IV, pp. 61-81.
28. MOIN, P. 1991 A new approach for large eddy simulation of turbulence and scalar transport. In New Approaches and Concepts in Turbulence, Proc. Monte Venta Coll. on Turbulence (ed. T. Dracos & A. Tsinober). Birkhauser, Bale.
29. MORRIS, P. & FERZIGER, J. H. 1994 The 2-4 dynamic model for large-eddy simulations (Abstract only). Bull. Am. Phys. Soc. 39, 1896.
30. PIOMELLI, U. 1993 High Reynolds number calculations using the dynamic subgrid-scale stress model. Phys. Fluids A 5, 1484-1490.
31. PIOMELLI, U. & LIU, J. 1995 Large-eddy simulation of rotating channel flows using a localized dynamic model. Phys. Fluids 7, 839-848.
32. PIOMELLI, U. & ZANG, T. A. 1991 Large-eddy simulation of transitional channel flow. Comp. Phys. Commun. 65, 224-230.
33. ROGALLO, R. 1981 Numerical experiments in homogeneous turbulence. NASA Tech. Memo 81315.
34. SCHUMANN, U. 1995 Stochastic backscatter of turbulence energy and sealer variance by random subgrid-scale fluxes. Proc. R. Soc. Lond. A 451, 293-318.
35. SCOTTI, A., MENEVEAU, C. & LILLY, D. K. 1993 Generalized Smagorinsky model for anisotropic grids. Phys. Fluids A 5, 2306-2308.
36. VINCENT, A. & MENEGUZZI, M. 1991 The spatial structure and statistical properties of homogeneous turbulence. J. Fluid Mech. 225, 1-20.
37. WANG, Q. & SQUIRES, K. D. 1996 Large-eddy simulation of particle-laden turbulent channel flow. Phys. Fluids 8, 1207-1223.
38. Wu, X. & SQUIRES, K. D. 1995 Large eddy simulation of a canonical three-dimensional boundary layer. In Proc. Tenth Symp. on Turbulent Shear Flows, Penn State (ed. F. Durst, B. E. Launder, F. W. Schmidt & J. W. Whitelaw).
39. ZANG, T. A., GILBERT, N. & KLEISER, L. 1990 Direct numerical simulation of the transitional zone. In Instability and Transition (ed M. Y. Hussaini & R. G. Voigt), pp. 283-299.
40. ZANG, Y., STREET, R. L. & KOSEFF, J. 1993 A dynamic mixed subgrid-scale model and its application to turbulent recirculating flows. Phys. Fluids A 5, 3186-3196.