Abstract
Subgrid-scale models based on incremental unknowns (IU) are proposed and investigated for LES of incompressible homogeneous turbulence. The aim of this approach is to derive an estimation procedure of scales (IU) smaller than the resolved ones. The IU components are solutions of an evolution equation. The SGS stress tensor is then explicitly computed. The SGS force is finally modified by phase correction procedures in order to enhance SGS dissipation. A good level of correlation between modeled and exact SGS force, as well as SGS energy transfer, is obtained. The IU models predict the right amount of SGS dissipation. A good agreement between LES results and filtered DNS is noted. In the case of decaying turbulence, IU models perform better than the dynamic model.
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References
Bardina, J., Ferziger, J. H. and Reynolds, W. C. (1983) Improved turbulence models based on large eddy simulation of homogeneous incompressible turbulence, Stanford University, TF-19.
Bouchon F. (1999) Modèles sous-mailles et schémas multi-niveaux. Application à la simulation des grandes échelles d’écoulements turbulents, Thèse de l’Université Blaise Pascal (Clermont-Ferrand 2).
Clark, R. A., Ferziger, J. H. and Reynolds, W. C. (1979) Evaluation of subgrid-scale models using an accurately simulated turbulent flow, J. Fluid Mech 91, p. 1.
Domaradzki, J. A., Liu, W. and Brachet, M. E. (1993) An analysis of subgrid-scale interactions in numerically simulated isotropic turbulence, Phys. Fluids A 5, p. 1747.
Domaradzki, J. A. and Loh, K. (1998) The subgrid-scale estimation model in the physical space representation, to appear in Phys. Fluids..
Domaradzki, J. A. and Saiki, E. M. (1997) A subgrid-scale model based on the estimation of unresolved scales of turbulence,Phys. Fluids, 9 (7), pp. 2148–2164.
Dubois, T., Jauberteau, F. and Temam, R. (1999) Dynamic multilevel methods and the numerical simulation of turbulence, Cambridge University Press.
Kerr, R. M., Domaradzki, J. A. and Barbier, G. (1996) Small-scale properties of nonlinear interactions and subgrid-scale energy transfer in isotropic turbulence, Phys. Fluids 8, p. 197.
Foias, C., Manley, O. P. and Temam R. (1988) Modelling of the interaction of small and large eddies in two-dimensional turbulent flows, Math. Mod. and Num. Anal. (M2AN), 22 (1), pp. 93–114.
Germano, M., Piomelli, U., Moin, P. and Cabot, W. H. (1991) A dynamic subgrid-scale eddy viscosity model, Phys. Fluids, A 3(7), pp. 1760–1765.
Ghosal, S., Lund, T. S., Moin, P., and Akselvoll, K. (1995) A dynamic localization model for large-eddy simulation of turbulent flows J. Fluid Mech 286, pp. 229–255.
Lilly, D. K. (1967) Proc. IBM Scientific Computing Symposium on Environmental Sciences. Yorktown Heights, N.Y., p. 195.
Lilly, D. K. (1992) A proposed modification of the Germano subgrid-scale closure method, Phys. Fluids A4(3), pp. 633–635.
Liu, S., Meneveau, C. and Katz, J. (1994) On the properties of similarity subgrid-scale models as deduced form measurements in a turbulent jet, J. Fluid Mech 275, p. 83.
O’Neil, J. and Meneveau, C. (1997) Subgrid-scale stresses and their modeling in a turbulent wake, J. Fluid Mech 349, p. 253.
Smagorinsky, J. (1963) General circulation experiments with the primitive equations, Mon. Weath. Rev, 93, p. 99.
Wray, A. A. (1998) in A selection of test cases for the evaluation of large-eddy simulations of turbulent flows, AGARD Advisory report, 345, pp. 63–64.
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© 1999 Springer Science+Business Media Dordrecht
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Bouchon, F., Dubois, T. (1999). Incremental Unknowns: A Tool for Large Eddy Simulations?. In: Voke, P.R., Sandham, N.D., Kleiser, L. (eds) Direct and Large-Eddy Simulation III. ERCOFTAC Series, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9285-7_23
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DOI: https://doi.org/10.1007/978-94-015-9285-7_23
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