A multilevel algorithm for large-eddy simulation of turbulent compressible Flows

Journal of Computational Physics

Volumn 167, Issue 2, 2001, Pages 439-474

  Terracol, Marc ^a   Sagaut, Pierre ^a   Basdevant, Claude ^b  

^a ONERA   (France)

^b Institut Galilée   (France)

Author keywords

Large eddy simulation; Multilevel algorithm; Subgrid scale modeling; Turbulence

Indexed keywords

COMPRESSIBLE FLOW; REYNOLDS NUMBER;

COMPUTATIONAL GRIDS; DETERMINISTICS; FINE GRIDS; LARGE-EDDY SIMULATIONS; MULTILEVEL ALGORITHM; MULTILEVEL METHOD; SPACE AND TIME; SPLITTINGS; SUB-GRID-SCALE MODELS; SUBGRID MODELING;

LARGE EDDY SIMULATION;

EID: 0005055256     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6687     Document Type: Article

References (41)

1. Boersma B. J., Kooper M. N., Nieuwstadt F. T. M., Wesseling P. Local grid refinement in large-eddy simulations. J. Eng. Math. 32:1997;161.
2. Carati D., Eijnden E. V. On the self-similarity assumption in dynamic models for large eddy simulations. Phys. Fluids. 9:1997;2165.
3. Cook A. W. A consistent approach to large-eddy simulation using adaptative mesh refinement. J. Comput. Phys. 154:1999;117.
4. Debussche A., Dubois T., Temam R. The Nonlinear Galerkin Method: A Multi-Scale Method Applied to the Simulation of Homogeneous Turbulent Flows. 1993.
5. Domaradzki J. A., Dubois T., Honein A. A subgrid-scale estimation model applied to large eddy simulations of compressible turbulence. Annual Research Briefs. 1998;351.
6. Domaradzki J. A., Liu W. Energy transfer in numerically simulated wall-bounded turbulent flows. Phys. Fluids. 6:1994;1583.
7. Domaradzki J. A., Loh K. C. The subgrid-scale estimation model in the physical space representation. Phys. Fluids. 11:1999;2330.
8. Domaradzki J. A., Saiki E. M. A subgrid-scale model based on the estimation of unresolved scales of turbulence. Phys. Fluids. 9:1997;2148.
9. Dubois T., Jauberteau F., Temam R. Dynamic multilevel methods in turbulence simulation. Comput. Fluids Dyn. Rev. 1995;679.
10. Dubois T., Jauberteau F., Temam R. A comparative study of multilevel schemes in homogeneous turbulence. Lecture Notes in Physics. 490:1996;388.
11. Dubois T., Jauberteau F., Temam R. Incremental unknowns, multilevel methods and the numerical simulation of turbulence. Comput. Methods Appl. Mech. Eng. 159:1998;123.
12. Germano M. A proposal for a redefinition of the turbulent stresses in the filtered Navier-Stokes equations. Phys. Fluids. 29:1986;2323.
13. Germano M. Turbulence: The filtering approach. J. Fluid Mech. 238:1992;325.
14. Germano M. A statistical formulation of the dynamic model. Phys. Fluids. 8:1996;565.
15. Harten A. Multiresolution representation of data: A general framework. SIAM J. Numer. Anal. 33:1996;1205.
16. Harten A. Multiresolution Representation and Numerical Algorithms: A Brief Review. October 1994.
17. Horiuti K. Assessment of the subgrid-scale models at low and high Reynolds numbers. Annual Research Briefs. 1996;211.
18. Horiuti K. A new dynamic two-parameter mixed model for large-eddy simulation. Phys. Fluids. 9:1997;3443.
19. Hugues T. J. R., Feijóo G. R., Mazzei L., Quincy J. B. The variational multiscale method - A paradigm for computational mechanics. Comput. Meth. Appl. Mech. Eng. 166:1998;3.
20. Kerr M. R., Domaradzki J. A., Barbier G. Small-scale properties of nonlinear interactions and subgrid-scale energy transfer in isotropic turbulence. Phys. Fluids. 8:1996;197.
21. Kim J., Moin P., Moser R. Turbulence statistics in fully developped channel flow at low Reynolds number. J. Fluid Mech. 177:1987;133.
22. Kraichnan R. H. Inertial-range transfer in two- and three-dimensional turbulence. J. Fluid Mech. 47:1971;525.
23. Kravchenko A. G., Moin P. On the effect of numerical errors in large eddy simulation of turbulent flows. J. Comput. Phys. 131:1997;310.
24. Lenormand E., Sagaut P., Ta Phuoc L. Large-eddy simulation of compressible channel flow at moderate Reynolds number. Int. J. Numer. Meth. Fluids. 32:2000;369.
25. Lenormand E., Sagaut P., Ta Phuoc L., Comte P. Subgrid-scale models for large-eddy simulation of compressible wall bounded flows. AIAA J. 38:2000;1340.
26. Lilly D. K. A proposed modification of the Germano subgrid-scale closure method. Phys. Fluids A. 4:1992;633.
27. Liu S., Meneveau C., Katz J. On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet. J. Fluid Mech. 275:1994;83.
28. Manhart M., Friedrich R. Towards DNS of turbulent boundary layers. Direct and Large-Eddy Simula- tion III. 1999;429.
29. Moin P., Squires K., Cabot W., Lee S. A dynamic subgrid-scale model for compressible turbulence and scalar transport. Phys. Fluids. 3:1991;2746.
30. τ=590. Phys. Fluids. 11:1999;943.
31. Sagaut P. Introduction à la simulation des grandes échelles pour les écoulements de fluide incompressible, Mathématiques et applications. 30:1998.
32. Sagaut P., Grohens R. Discrete filters for large eddy simulation. Int. J. Numer. Meth. Fluids. 31:1999;1195.
33. Salvetti M. V., Banerjee S. A priori tests of a new dynamic subgrid-scale model for finite-difference large-eddy simulations. Phys. Fluids. 7:1995;2831.
34. Shah K. B., Ferziger J. H. A new non-eddy viscosity subgrid-scale model and its application to channel flow. Annual Research Briefs. 1995;73-90.
35. Smagorinsky J. General circulation experiments with the primitive equations. Mon. Weather Rev. 3:1963;99.
36. Stolz S., Adams N. A. An approximate deconvolution procedure for large-eddy simulation. Phys. Fluids. 11:1999;1699.
37. Sullivan P. P., McWilliams J. C., Moeng C. A grid nesting method for large-eddy simulation of planetary boundary-layer flows. Boundary-Layer Meteorol. 80:1996;167.
38. Voke P. R. Multiple Mesh Simulation of Turbulent Flow. 1990.
39. Vreman A. W., Geurts B. J., Kuerten J. G. M., Zandbergen P. J. A finite volume approach to large eddy simulation of compressible, homogeneous, isotropic, decaying turbulence. Int. J. Numer. Meth. Fluids. 15:1992;799.
40. Weber C., Ducros F., Corjon A. Large-Eddy Simulation of Complex Turbulent Flows. 1998.
41. Zang Y., Street R. L., Koseff J. R. A dynamic mixed subgrid-scale model and its applications to turbulent recirculating flows. Phys. Fluids. 5:1993;3186.