A time self-adaptive multilevel algorithm for large-eddy simulation

Journal of Computational Physics

Volumn 184, Issue 2, 2003, Pages 339-365

  Terracol, M ^a   Sagaut, P ^a   Basdevant, C ^b  

^a ONERA   (France)

^b University Sorbonne Paris Nord   (France)

Author keywords

Large eddy simulation; Multilevel; Subgrid scale modeling

Indexed keywords

REYNOLDS NUMBER;

CPU TIME; FLOW VARIABLE; LARGE-EDDY SIMULATIONS; MULTILEVEL ALGORITHM; MULTILEVEL METHOD; MULTILEVELS; QUASISTATIC APPROXIMATIONS; SUB-GRID-SCALE MODELS; UNSTEADY SIMULATIONS; WAVE NUMBERS;

LARGE EDDY SIMULATION;

EID: 0037455595     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9991(02)00017-7     Document Type: Article

References (38)

1. D. Carati, A.A. Wray, Time filtering in large eddy simulation, in: Proceedings of the Summer Program 2000, Center for Turbulence Research, 2000, pp. 263-270.
2. P. Comte, M. Lesieur, E. Lamballais, Large- and small-scale stirring of vorticity and a passive scalar in a 3-D temporal mixing layer, Phys. Fluids A 4 (12) (1992) 2761-2778.
3. Y.M. Dakhoul, K.W. Bedford, Improved averaging method for turbulent flow simulation. Part 1: theoretical development and application to burger's transport equation, Int. J. Numer. Methods Fluids 6 (1986) 49-64.
4. Y.M. Dakhoul, K.W. Bedford, Improved averaging method for turbulent flow simulation. Part 2: calculations and verification, Int. J. Numer. Methods Fluids 6 (1986) 65-82.
5. A. Debussche, T. Dubois, R. Temam, The nonlinear galerkin method: a multi-scale method applied to the simulation of homogeneous turbulent flows, ICASE Report No. 93-93, December 1993.
6. J.A. Domaradzki, W. Liu, C. Härtel, L. Kleiser, Energy transfer in numerically simulated wall-bounded turbulent flows, Phys. Fluids 6 (4) (1994) 1583-1599.
7. J.A. Domaradzki, K.C. Loh, The subgrid-scale estimation model in the physical space representation, Phys. Fluids 11 (8) (1999) 2330-2342.
8. J.A. Domaradzki, E.M. Saiki, A subgrid-scale model based on the estimation of unresolved scales of turbulence, Phys. Fluids 9 (7) (1997) 2148-2164.
9. J.A. Domaradzki, P.P. Yee, The subgrid-scale estimation model for high Reynolds number turbulence, Phys. Fluids 12 (1) (2000) 193-196.
10. T. Dubois, F. Jauberteau, R. Temam, Incremental unknowns, multilevel methods and the numerical simulation of turbulence, Comput. Methods Appl. Mech. Engrg. 159 (1998) 123-189.
11. M. Germano, A proposal for a redefinition of the turbulent stresses in the filtered Navier-Stokes equations, Phys. Fluids 29 (7) (1986) 2323-2324.
12. M. Germano, U. Piomelli, P. Moin, W.H. Cabot, A dynamic subgrid-scale eddy viscosity model, Phys. Fluids A 3 (1991) 1760-1765.
13. A. Harten, Multiresolution representation of data: a general framework, SIAM J. Numer. Anal. 33 (3) (1996) 1205-1256.
14. L.-H. Huang, C-H. Ho, Small-scale transition in a plane mixing layer, J. Fluid Mech. 210 (1990) 475-500.
15. T.J.R. Hugues, L. Mazzei, A.A. Oberai, The multiscale formulation of large eddy simulation: decay of homogeneous isotropic turbulence, Phys. Fluids 12 (2) (2001) 505-512.
16. T.J.R. Hugues, A.A. Oberai, L. Mazzei, Large eddy simulation of turbulent channel flows by the variational multiscale method, Phys. Fluids 12 (6) (2001) 1784-1799.
17. M.R. Kerr, J.A. Domaradzki, G. Barbier, Small-scale properties of nonlinear interactions and subgrid-scale energy transfer in isotropic turbulence, Phys. Fluids 8 (1996) 197.
18. R.H. Kraichnan, Inertial-range transfer in two- and three-dimensional turbulence, J. Fluid Mech. 47 (3) (1971) 525-535.
19. A.G. Kravchenko, P. Moin, On the effect of numerical errors in large eddy simulation of turbulent flows, J. Comput. Phys. 131 (1997) 310-322.
20. E. Lenormand, P. Sagaut, L. Ta Phuoc, Large-eddy simulation of compressible channel flow at moderate Reynolds number, Int. J. Numer. Methods Fluids 32 (2000) 369-406.
21. E. Lenormand, P. Sagaut, L. Ta Phuoc, P. Comte, Subgrid-scale models for large-eddy simulation of compressible wall bounded flows, AIAA J. 38 (8) (2000) 1340-1350.
22. J. Maurer, M. Fey, A scale-residual model for large-eddy simulation, in: Direct and Large-Eddy Simulation III, Kluwer Academic Publishers, Dordrecht, MA, 1999, pp. 237-248.
23. τ = 590, Phys. Fluids 11 (4) (1999) 943-945.
24. R.D. Moser, M.M. Rogers, Mixing transition and the cascade to small scales in a plane mixing layer, Phys. Fluids A 3 (5) (1991) 1128-1134.
25. R.D. Moser, M.M. Rogers, Direct simulation of a self-similar turbulent mixing layer, Phys. Fluids A 6 (1994) 903-924.
26. C.D. Pruett, Eulerian time-domain filtering for spatial large-eddy simulation, AIAA J. 38 (9) (2000) 1634-1642.
27. S.A. Ragab, J.L. Wu, Linear instabilities in two-dimensional compressible mixing layers, Phys. Fluids A 1 (1989) 957-966.
28. P. Sagaut, Large-eddy Simulation for Incompressible Flows. Scientific Computation, second ed., Springer, Berlin, 2002.
29. P. Sagaut, R. Grohens, Discrete filters for large-eddy simulation, Int. J. Numer. Methods Fluids 31 (1999) 1195-1220.
30. P. Sagaut, E. Labourasse, P. Quéméré, M. Terracol, Multiscale approaches for unsteady simulation of turbulent flows, Int. J. Nonlinear Sci. Numer. Sim. 1 (4) (2000) 285-298.
31. K.B. Shah, J.H. Ferziger, A new non-eddy viscosity subgrid-scale model and its application to channel flow, in: Annual Research Briefs, Center for Turbulence Research, 1995, pp. 73-90.
32. S. Stolz, N.A. Adams, L. Kleiser, The approximate deconvolution model applied to LES of turbulent channel flow, in: Direct and Large-Eddy Simulation III, Kluwer Academic Publishers, Dorderecht, MA, 1999, pp. 163-174.
33. S. Stolz, N.A. Adams, An approximate deconvolution procedure for large-eddy simulation, Phys. Fluids 11 (7) (1999) 1699-1701.
34. M. Terracol, P. Sagaut, C. Basdevant, A multilevel algorithm for large eddy simulation of turbulent compressible flows, J. Comput. Phys. 167 (2) (2001) 439-474.
35. P.R. Voke, Multiple mesh simulation of turbulent flow, Report QMW EP-1082, University of London, 1990.
36. B. Vreman, B. Geurts, H. Kuerten, Large-eddy simulation of the turbulent mixing layer, J. Fluid Mech. 339 (1997) 357-390.
37. C. Weber, F. Ducros, A. Corjon, Large-eddy simulation of complex turbulent flows, AIAA Paper 98-2651, 1998.
38. Y. Zang, R.L. Street, J.R. Koseff, A dynamic mixed subgrid-scale model and its applications to turbulent recirculating flows, Phys. Fluids A 5 (12) (1993) 3186-3196.