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A dynamic subgrid-scale model for compressible turbulence and scalar transport. (English) Zbl 0753.76074

Summary: The dynamic subgrid-scale (SGS) model of M. Germano, U. Piomelli, P. Moin and W. H. Cabot [Phys. Fluids A 3, No. 7, 1760-1765 (1991)] is generalized for the large eddy simulation (LES) of compressible flows and transport of a scalar. The model was applied to the LES of decaying isotropic turbulence, and the results are in excellent agreement with experimental data and direct numerical simulations. The expression for the SGS turbulent Prandtl number was evaluated using direct numerical simulation (DNS) data in isotropic turbulence, homogeneous shear flow, and turbulent channel flow. The qualitative behavior of the model for turbulent Prandtl number and its dependence on molecular Prandtl number, direction of scalar gradient, and distance from the wall are in accordance with the total turbulent Prandtl number for the DNS data.

MSC:

76F05 Isotropic turbulence; homogeneous turbulence
76F10 Shear flows and turbulence
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