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A dynamic localization model for large-eddy simulation of turbulent flows

  • Sandip Ghosal (a1), Thomas S. Lund (a1), Parviz Moin (a1) and Knut Akselvoll (a1)


In a previous paper, Germano, et al. (1991) proposed a method for computing coefficients of subgrid-scale eddy viscosity models as a function of space and time. This procedure has the distinct advantage of being self-calibrating and requires no a priori specification of model coefficients or the use of wall damping functions. However, the original formulation contained some mathematical inconsistencies that limited the utility of the model. In particular, the applicability of the model was restricted to flows that are statistically homogeneous in at least one direction. These inconsistencies and limitations are discussed and a new formulation that rectifies them is proposed. The new formulation leads to an integral equation whose solution yields the model coefficient as a function of position and time. The method can be applied to general inhomogeneous flows and does not suffer from the mathematical inconsistencies inherent in the previous formulation. The model has been tested in isotropic turbulence and in the flow over a backward-facing step.



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Adams, E. W., Johnston, J. P. & Eaton, J. K. 1984 Experiments on the structure of turbulent reacting flow. Rep. MD-43. Thermosciences Division, Dept of Mech. Engng, Stanford University.
Bohnert, M. & Ferziger, J. H. 1993 The dynamic subgrid-scale model in LES of the stratified Eckman layer. In Engineering Turbulence Modelling and Experiments 2 (ed. W. Rodi & M. Martelli), pp. 315324. Elsevier.
Cabot, W. H. & Moin, P. 1993 Large-eddy simulation of scalar transport with the dynamic subgrid-scale model. In Large Eddy Simulation of Complex Engineering and Geophysical Flows (ed. B. Galperin & S. A. Orszag). Cambridge University Press.
Carati, D., Ghosal, S. & Moin, P. 1995 On the representation of backscatter in dynamic localization models. Phys. Fluids (to appear).
Chasnov, J. R. 1990 Development and application of an improved subgrid model for homogeneous turbulence. PhD thesis, Columbia University.
Chasnov, J. R. 1991 Simulation of the Kolmogorov inertial subrange using an improved subgrid model. Phys. Fluids A 3, 188200.
Comte-Bellot, G. & Corrsin, S. 1971 Simple Eulerian time correlation of full and narrow-band velocity signals in grid-generated ‘isotropic’ turbulence. J. Fluid Mech. 48, 273337.
Durbin, P. A. 1990 Near wall turbulence closure modeling without ‘damping functions’. Theor. Comput. Fluid Dyn. 3, 113.
Friedrich, R. & Arnal, M. 1990 Analysing turbulent backward-facing step flow with the lowpass-filtered Navier-Stokes equations. J. Wind Engng Indust. Aerodyn. 35, 101128.
Germano, M., Piomelli, U., Moin, P. & Cabot, W. 1991 A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3, 17601765.
Le, H. & Moin, P. 1994 Direct numerical simulation of flow over a backward-facing step. Rep. TF-58. Thermosciences Division, Dept of Mech. Engng, Stanford University.
Leith, C. E. 1990 Stochastic backscatter in a subgrid-scale model: plane shear mixing layer. Phys. Fluids A 2, 297299.
Lilly, D. K. 1992 A proposed modification of the Germano subgrid-scale closure method. Phys. Fluids A 4, 633635.
Lumley, J. L. 1978 Computational modeling of turbulent flows. Adv. Appl. Mech. 18, 123176.
Lund, T. S., Ghosal, S. & Moin, P. 1993 Numerical experiments with highly variable eddy viscosity models. In Engineering Applications of Large Eddy Simulations (ed. S. A. Ragale & U. Piomelli). FED Vol. 162, pp. 711. ASME.
Mansour, N. N., Kim, J. & Moin, P. 1988 Reynolds-stress and dissipation-rate budgets in a turbulent channel flow. J. Fluid Mech. 194, 1544.
Mason, P. J. & Thomson, D. J. 1992 Stochastic backscatter in large-eddy simulation of boundary layers. J. Fluid Mech. 242, 5178.
Métais, O. & Lesieur, M. 1992 Spectral large-eddy simulation of isotropic and stably stratified turbulence. J. Fluid Mech. 239, 157194.
Moin, P. 1991 A new approach for large eddy simulation of turbulence and scalar transport. In Proc. Monte Verita Coll. on Turbulence. Birkhauser, Bale.
Moin, P., Squires, K., Cabot, W. & Lee, S. 1991 A dynamic subgrid-scale model for compressible turbulence and scalar transport. Phys. Fluids A 3, 27462757.
Piomelli, U. 1993 High Reynolds number calculations using the dynamic subgrid-scale stress model. Phys. Fluids A 5, 14841490.
Piomelli, U., Cabot, W. H., Moin, P. & Lee, S. 1991 Subgrid-scale backscatter in turbulent & transitional flows. Phys. Fluids A 3, 17661771.
Schumann, U. 1977 Realizability of Reynolds-stress turbulence models. Phys. Fluids 20, 721725.
Silveira Neto, A., Grand, D., Métals, O. & Lesieur, M. 1993 A numerical investigation of the coherent vortices in turbulence behind a backward-facing step. J. Fluid. Mech. 256, 125.
Smagorinsky, J. 1963 General circulation experiments with the primitive equations. I. The basic experiment. Mon. Weather Rev. 91, 99165.
Speziale, C. G. 1991 Analytic methods for the development of reynolds-stress closures in turbulence. Ann. Rev. Fluid Mech. 23, 107157.
White, F. M. 1974 Viscous Fluid Flow. McGraw-Hill.
Wong, V. C. 1992 A proposed statistical-dynamic closure method for the linear or nonlinear subgrid-scale stresses. Phys. Fluids A 4, 10801082.
Zang, Y., Street, R. L. & Koseff, J. R. 1993 A dynamic mixed subgrid-scale model and its application to turbulent recirculating flows. Phys. Fluids A 5, 31863196.
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