Study of discrete test filters and finite difference approximations for the dynamic subgrid-scale stress model

Physics of Fluids

Volumn 8, Issue 4, 1996, Pages 1076-1088

  Najjar, F M ^a   Tafti, D K ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000400130     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.868887     Document Type: Article

References (35)

1. J Smagorinsky, "General circulation experiments with the primitive equation. I. The basic experiments," Mon. Weather Rev. 91, 99 (1963).
2. R. S. Rogallo and P. Moin, "Numerical simulations of turbulent flows," Annu. Rev. Fluid Mech. 16, 99 (1984).
3. M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, "A dynamic subgrid-scale eddy viscosity model," Phys. Fluids A 3, 1760 (1991).
4. D K. Lilly," A proposed modification of the Germano subgrid-scale closure method," Phys. Fluids A 4, 633 (1992).
5. S. Ghosal, T. S. Land, and P. Moin, "A dynamic localization model for large-eddy simulation of turbulent flows," J. Fluid Mech. 286, 229 (1995).
6. A. Yakhot, S. A. Orszag, and V. Yakhot, "Renormalization group formulation of large-eddy simulation," J. Sci. Comput. 4, 139 (1989).
7. M. Lesieur, O. Metais, X. Normand, and A. Silveira-Neto. "Spectral large eddy simulation of turbulent shear flow," in Large Eddy Simulation of Complex Engineering and Geophysical Flows, edited by B. Galperin and S. A. Orszag (Cambridge University Press, Cambridge, 1993), p. 179.
8. A. Yoshizawa, "Subgrid-scale modeling with a variable length scale," Phys. Fluids A 1, 1293 (1989).
9. U. Piomelli, "High Reynolds number calculation using the dynamic subgrid-scale stress model," Phys. Fluids A 5, 1484 (1993).
10. U. Piomelli and J. Liu, "Large-eddy simulation of rotating channel flows using a localized dynamic model," Phys. Fluids 7, 839 (1995).
11. E. Balaras, C. Benocci, and U. Piomelli, "Finite-difference computations of high Reynolds number flows using the dynamic subgrid-scale model," Theor. Comput. Fluid Dyn. 7, 207 (1995).
12. W. Cabot, "Dynamic localization and second-order subgrid-scale models in large eddy simulations of channel flow," Annual Research Briefs 1993 (Center for Turbulent Research, Stanford University. Stanford, 1993). p. 129.
13. E. Balaras and C. Benocci, "Large eddy simulation of flow in a square duct," 13th Symposium on Turbulence, Rolla, Missouri. A33-1-A33-8. 21-23 September 1992.
14. S. A. Jordan and S. A. Ragab, "On the unsteady and turbulent characteristics of the three-dimensional shear-driven cavity flow," Engineering Applications of Large Eddy Simulations. 1993 ASME Fluids Engineering Summer Meeting (ASME, New York, 1993). Vol. 162, p. 127.
15. Y. Zang, R. L. Street, and J. R. Koseff, "A dynamic mixed subgrid-scale model and its application to turbulent recirculating flows," Phys. Fluids A 5. 3186 (1993).
16. T. S. Lund, "Discrete filters for finite differenced large eddy simulation," 45th Annual Meeting of American Physical Society. Division of Fluid Dynamics, Tallahassee, Florida. 1992.
17. E. Spyropoulos and G. A. Blaisdell, "Evaluation of the dynamic subgrid-scale model for large-eddy simulations of compressible turbulent flows," AIAA 95-0355, 33rd Acrospace Sciences Meeting, Reno, Nevada, 1995.
18. F. H. Harlow and J. E. Welch, "Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface," Phys. Fluids 8, 2182 (1965).
19. M. M. Rai and P. Moin, "Direct simulations of turbulent flow finite-difference schemes," J. Comput. Phys. 96, 15 (1991).
20. M. Germano, "Turbulence: the filtering approach," J. Fluid Mech. 238, 325 (1992).
21. U. Piomelli, W. Cabot, P. Moin, and S. Lee, "Subgrid-scale backscatter in turbulent and transitional flows," Phys Fluids A 3, 1766 (1991).
22. J. B. Scarborough, Numerical Mathematical Analysis, 6th ed. (The Johns Hopkins Press, Baltimore, 1963), Chap. 8.
23. F. M. Najjar and D. K. Tafti, "Finite-differenced large-eddy simulations of incompressible turbulent flows using the dynamic subgrid-scale stress model: Effects of test filters and numerical approximations." NCSA Technical Rep. No. 031. National Center for Supercomputing Applications, Urbana, IL, 1995.
24. S. K. Lele, "Compact finite difference schemes with spectral-like resolution," J. Comput. Phys. 103. 16 (1992).
25. T. S. Lund (private communication, 1994).
26. J. Arsac, Fourier Transforms and the Theory of Distributions, Prentice-Hall Series in Applied Mathematics (Prentice-Hall. Englewood Cliffs, NJ, 1966).
27. A. Scotti, C. Meneveau, and D. K. Lilly, "Generalized Smagorinsky model for anisotropic grids," Phys. Fluids A 5, 2306 (1993).
28. A. J. Chorin, "A numerical method for solving incompressible viscous flow problems," J. Comput. Phys. 2. 12 (1967).
29. J. Kim and P. Moin, "Application of a fractional-step method for the incompressible Navier-Stokes equations," J. Comput. Phys. 92, 369 (1985).
30. D. K. Tafti, "A study of high-order spatial finite difference formulations for the incompressible Navier-Stokes equations," NCSA Preprint No. 031, National Center for Supercomputing Applications, Urbana, IL. 1995.
31. D. K. Tafti, "Features and implementation issues for a high-order finite difference algorithm for direct and large eddy simulations of incompressible turbulence on the CM-5," NCSA Technical Rep. No. 047. National Center for Supercomputing Applications. Urbana. IL. 1994.
32. F. M. Najar and D. K. Tafti, "Implementation and performance of a data-parallel algorithm for the dynamic subgrid scale stress model on massively parallel computer," submitted for review to ASME Symposium on Numerical Developments in CFD, 1996.
33. P. Moin and J. Kim, "On the numerical solution of time-dependent viscous incompressible fluid flows involving solid boundaries," J. Comput. Phys. 35, 381 (1980).
34. J. Kim, P. Moin, and R. Moser, "Turbulence statistics in fully developed channel flow at low Reynolds number," J. Fluid Mech. 177, 133 (1987).
35. 3 simulation. For the 32×64×32 simulation the resolved turbulent kinetic energy will be further reduced. However, due to the lack of such data for the top-hat filter we compare with the DNS data.