The temporally filtered Navier-Stokes equations: Properties of the residual stress

Physics of Fluids

Volumn 15, Issue 8, 2003, Pages 2127-2140

  Pruett, C D ^a   Gatski, T B ^b   Grosch, C E ^c   Thacker, W D ^d  

^a JAMES MADISON UNIVERSITY   (United States)

^b NASA LANGLEY RESEARCH CENTER   (United States)

^c OLD DOMINION UNIVERSITY   (United States)

^d Saint Louis University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; RESIDUAL STRESSES; STATISTICAL METHODS;

TEMPORAL FILTERS;

NAVIER STOKES EQUATIONS;

LARGE EDDY SIMULATION; MATHEMATICAL MODELING; NAVIER-STOKES EQUATIONS; REYNOLDS NUMBER; TURBULENT FLOW;

EID: 0042784748     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1582858     Document Type: Article

References (22)

1. U. Frisch, Turbulence (Cambridge University Press, Cambridge, 1995).
2. M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, "A dynamic subgrid-scale eddy viscosity model," Phys. Fluids A 3, 1760 (1991).
3. J. A. Domaradzki and E. M. Saiki, "A subgrid-scale model based on the estimation of unresolved scales of turbulence," Phys. Fluids 9, 2148 (1997).
4. S. Stolz and N. A. Adams, "An approximate deconvolution procedure for large-eddy simulation," Phys. Fluids 11, 1699 (1999).
5. P. Moin and J. Jimenez, "Large-eddy simulation of complex turbulent flows," AIAA Pap. No. 93-3099 (1993).
6. M. Germano, "From RANS to DNS: Toward a bridging model," Direct and Large-Eddy Simulation-III, edited by P. R. Voke, N. D. Sandham, and L. Kleiser (Kluwer, Dordrecht, 1999), p. 225.
7. M. Germano, "LES overview," in DNS/LES Progress and Challenges, edited by C. Liu, L. Sakell, and T. Beutner (Greyden, Columbus, OH, 2001), p. 1.
8. R. D. Strum and D. E. Kirk, First Principles of Discrete Systems and Digital Signal Processing (Addison-Wesley, New York, 1988).
9. C. D. Pruett, "On Eulerian time-domain filtering for spatial large-eddy simulation," AIAA J. 38, 1634 (2000).
10. G. A. Blaisdell, "Computation of discrete filters and differential operators for large-eddy simulation," Advances in DNS/LES, edited by C. Liu and Z. Liu (Greyden, Columbus, OH, 1997), p. 333.
11. O. V. Vasilyev, T. S. Lund, and P. Moin, "A general class of commutative filters for LES in complex geometries," J. Comput. Phys. 141, 82 (1998).
12. C. D. Pruett, N. A. Adams, and J. S. Sochacki, "On Taylor-series expansions of residual stress," Phys. Fluids 13, 2578 (2001).
13. C. D. Pruett, "Toward the de-mystification of LES," DNS/LES Progress and Challenges, edited by C. Liu, L. Sakell, and T. Beutner (Greyden, Columbus, OH, 2001), p. 231.
14. G. D. Stefano and O. V. Vasilyev, "A study of the effect of smooth filtering in LES," in Ref. 13, p. 247.
15. C. G. Speziale, "Subgrid scale stress models for large-eddy simulation of rotating turbulent flows," Geophys. Astrophys. Fluid Dyn. 33, 199 (1985).
16. C. G. Speziale, "Invariance of turbulent closure models," Phys. Fluids 22, 1033 (1979).
17. C. G. Speziale, "Galilean invariance of subgrid-scale stress models in the large-eddy simulation of turbulence," J. Fluid Mech. 156, 55 (1985).
18. J. Bardina, J. H. Ferziger, and W. C. Reynolds, "Improved subgrid-scale models for large eddy simulation," AIAA Pap. No. 80-1357 (1980).
19. V. Eswaran and S. B. Pope, "An examination of forcing in direct numerical simulations of turbulence," Comput. Fluids 16, 257 (1988).
20. B. Vreman, B. Geurts, and H. Huerten, "Realizability conditions for the turbulent stress tensor in large-eddy simulation," J. Fluid Mech. 278, 351 (1994).
21. S. Liu, C. Meneveau, and J. Katz, "On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet," J. Fluid Mech. 275, 83 (1994).
22. C. D. Pruett and N. A. Adams, "A priori analyses of three subgrid-scale models for one-parameter families of filters," Phys. Fluids 12, 1133 (2000).