Explicit-filtering large-eddy simulation using tensor-diffusivity model supplemented by a dynamic Smagorinsky term

Physics of Fluids

Volumn 13, Issue 5, 2001, Pages 1385-1403

  Winckelmans, Grégoire S ^a   Wray, Alan A ^b   Vasilyev, Oleg V ^c   Jeanmart, Hervé ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b NASA AMES RESEARCH CENTER   (United States)

^c UNIVERSITY OF MISSOURI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION IN LIQUIDS; MATHEMATICAL MODELS; REYNOLDS NUMBER;

LARGE-EDDY SIMULATION (LES);

COMPUTATIONAL FLUID DYNAMICS;

LARGE EDDY SIMULATION; MATHEMATICAL METHOD;

EID: 0035340687     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1360192     Document Type: Article

References (44)

1. G. S. Winckelmans, A. A. Wray, and O. V. Vasilyev, "Testing of a new mixed model for LES: The Leonard model supplemented by a dynamic Smagorinsky term," Proceedings of the Summer Program, Center for Turbulence Research, Stanford University and NASA Ames, 1998, pp. 367-388.
2. A. Leonard and G. S. Winckelmans, "A tensor-diffusivity subgrid model for largeeddy simulation," Proceedings of the Isaac Newton Institute Symposium / ERCOFTAC Workshop, Cambridge, UK, 12-14 May 1999, ERCOFTAC Series: Direct and Large-Eddy Simulation III, edited by P. R. Voke, N. D. Sandham, and L. Kleiser (Kluwer Academic, Dordrecht, 1999), pp. 147-162.
3. A. Leonard, "Energy cascade in large-eddy simulations of turbulent fluid flows," Adv. Geophys. 18, 237 (1974).
4. B. Vreman, B. Geurts, and H. Kuerten, "Large-eddy simulation of the temporal mixing layer using the mixed Clark model," Theor. Comput. Fluid Dyn. 8, 309 (1996).
5. B. Vreman, B. Geurts, and H. Kuerten, "Large-eddy simulation of the turbulent mixing layer," J. Fluid Mech. 339, 357 (1997).
6. D. Carati, G. S. Winckelmans, and H. Jeanmart, "On the modeling of the subgrid-scale and filtered-scale stress tensors in large-eddy simulation," to appear in J. Fluid Mech.
7. W. K. Yeo, "A generalized high pass/low pass filtering procedure for deriving and solving turbulent flow equations," Ph.D. thesis, Ohio State University, 1987.
8. W. K. Yeo and K. W. Bedford, "Closure-free turbulence modeling based upon a conjuctive higher order averaging procedure," in Computational Methods in Flow Analysis, edited by H. Niki and M. Kawahara (Okayama University of Science, Okayama, 1988), pp. 844-851.
9. K. W. Bedford and W. K. Yeo, "Conjunctive filtering procedures in surface water flow and transport," in Large Eddy Simulation of Complex Engineering and Geophysical Flows, edited by B. Galperin and S. A. Orszag (Cambridge University Press, Cambridge, 1993), pp. 513-537.
10. A. Leonard, "Large-eddy simulation of chaotic convection and beyond," 35th Aerospaces Sciences Meeting & Exhibit, Reno, NV, 6-10 January. 1997, AIAA Paper No. 97-0204.
11. D. Carati, G. S. Winckelmans, and H. Jeanmart, "Exact expansions for filtered-scales modelling with a wide class of LES filters," in Ref. 2, pp. 213-224.
12. S. Stolz and N. A. Adams, "An approximate deconvolution procedure for large-eddy simulation," Phys. Fluids 11, 1699 (1999).
13. 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).
14. V. Borue and A. Orszag, "Local energy flux and subgrid-scale statistics in three-dimensional turbulence," J. Fluid Mech. 366, 1 (1998).
15. J. Smagorinsky, "General circulation experiments with the primitive equations," Mon. Weather Rev. 91, 99 (1963).
16. M. Germano, U. Piomelli, P. Moin, and W. Cabot, "A dynamic subgrid-scale eddy-viscosity model," Phys. Fluids A 3, 1760 (1991).
17. S. Ghosal, T. S. Lund, and P. Moin, "A local dynamic model for large-eddy simulation," in Annual Research Briefs, Center for Turbulence Research, Stanford University and NASA Ames, 1992, pp. 3-25.
18. P. Moin, D. Carati, T. Lund, S. Ghosal, and K. Akselvoll, "Developments and applications of dynamic models for large eddy simulation of complex flows," Proceedings of the 74th Fluid Dynamics Symposium on Application of Direct and Large Eddy Simulation to Transition and Turbulence, Chania, Crete, Greece, 1994, AGARD-CP-551, 1-1-9.
19. S. Ghosal, T. S. Lund, P. Moin, and K. Akselvoll, "A dynamic localization model for large-eddy simulation of turbulent flows," J. Fluid Mech. 286, 229 (1995).
20. D. Carati, S. Ghosal, and P. Moin, "On the representation of backscatter in dynamic localization models," Phys. Fluids 7, 606 (1995).
21. N. N. Mansour, J. H. Ferziger, and W. C. Reynolds, "Large-eddy simulation of a turbulent mixing layer," Thermosciences Div., Mech. Eng. Dept., Stanford University, Report No. TF-11, 1978.
22. R. A. Clark, J. H. Ferziger, and W. C. Reynolds, "Evaluation of subgrid-scale models using a fully simulated turbulent flow," Thermosciences Div., Mech. Eng. Dept., Stanford University, Report No. TF-9, 1977.
23. R. A. Clark, J. H. Ferziger, and W. C. Reynolds, "Evaluation of subgrid-scale turbulence models using an accurately simulated turbulent flow," J. Fluid Mech. 91, 1 (1979).
24. G. S. Winckelmans, T. S. Lund, D. Carati, and A. A. Wray, "A priori testing of subgrid-scale models in the velocity-pressure and the vorticity-velocity formulations," Proceedings of the Summer Program, Center for Turbulence Research, Stanford University and NASA Ames, 1996, pp. 309-328.
25. D. Carati, K. Jansen, and T. Lund, "A family of dynamic models for large-eddy simulation," in Annual Res. Briefs, Center for Turbulence Research, Stanford University and NASA Ames, 1995, pp. 35-40.
26. G. Dantinne, H. Jeanmart, G. S. Winckelmans, V. Legat, and D. Carati, "Hyperviscosity and vorticity-based models for subgrid scale modeling," Appl. Sci. Res. 59, 409 (1998).
27. F. Nicoud and F. Ducros, "Subgrid-scale stress modeling based on the square of the velocity gradient tensor," Flow, Turbul. Combust. 62, 183 (1999).
28. D. Carati and W. Cabot, "Anisotropic eddy viscosity models," Proceedings of the Summer Program, Center for Turbulence Research, Stanford University and NASA Ames, 1996, pp. 249-258.
29. T. J. R. Hughes, L. Mazzei, A. A. Oberai, and A. A. Wray, "The multi-scale formulation of large eddy simulation: Decay of homogeneous isotropic turbulence," Phys. Fluids. 13, 505 (2001).
30. T. S. Lund and E. A. Novikov, "Parametrization of subgrid-scale stress by the velocity gradient tensor," in Annual Research Briefs, Center for Turbulence Research, Stanford University and NASA Ames, 1992, pp. 27-43.
31. J. Bardina, J. H. Ferziger, and W. C. Reynolds, "Improved turbulence models based on large eddy simulation of homogeneous incompressible turbulence," Thermosciences Div., Mech. Eng. Dept., Stanford University, Report No. TF-19, 1983.
32. K. Horiuti, "A new dynamic two-parameter mixed model for large-eddy simulation," Phys. Fluids 9, 3443 (1997).
33. G.-H. Cottet and A. A. Wray, "Anisotropic grid-based formulas for subgrid-scale models," in Annual Research Briefs, Center for Turbulence Research, Stanford University and NASA Ames, 1997, pp. 113-122.
34. G.-H. Cottet and O. V. Vasilyev, "Comparison of dynamic Smagorinsky and anisotropic subgrid-scale models," Proceedings of the Summer Program, Center for Turbulence Research, Stanford University and NASA Ames, 1998, pp. 367-388.
35. G.-H. Cottet, "Artificial viscosity models for vortex and particle methods," J. Comput. Phys. 127, 299 (1996).
36. D. Carati and E. Vanden Einden, "On the self-similarity assumption in dynamic models for large eddy simulations," Phys. Fluids 9, 2165 (1997).
37. B. J. Geurts, "Balancing errors in LES," in Ref. 2, pp. 1-12.
38. Y. Morinishi, T. S. Lund, O. V. Vasilyev, and P. Moin, "Fully conservative higher order finite difference schemes for incompressible flow," J. Comput. Phys. 143, 90 (1998).
39. O. V. Vasilyev, "High order finite difference schemes on non-uniform meshes with good conservation properties," J. Comput. Phys. 157, 746 (2000).
40. N. N. Mansour, R. D. Moser, and J. Kim, "Reynolds number effects in low Reynolds number turbulent channel," data in AGARD database. 1996.
41. R. D. Moser, J. Kim, and N. N. Mansour, "Direct numerical simulation of turbulent channel flow up to Reτ=590," Phys. Fluids 11, 943 (1999).
42. 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).
43. J. A. Domaradzki and K.-C. Loh, "The subgrid-scale estimation model in the physical space representation," Phys. Fluids 11, 2330 (1999).
44. S. Ghosal and P. Moin, "The basic equations for the large-eddy simulation of turbulent flows in complex geometry," J. Comput. Phys. 118, 24 (1995).