A dynamic subgrid-scale model for compressible turbulence and scalar transport

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  • P. Moin
    Center for Turbulence Research, Stanford University, Stanford, California 94305 and NASA/Ames Research Center, Moffett Field, California 94035
  • K. Squires
    Center for Turbulence Research, Stanford University, Stanford, California 94305 and NASA/Ames Research Center, Moffett Field, California 94035
  • W. Cabot
    Center for Turbulence Research, Stanford University, Stanford, California 94305 and NASA/Ames Research Center, Moffett Field, California 94035
  • S. Lee
    Center for Turbulence Research, Stanford University, Stanford, California 94305 and NASA/Ames Research Center, Moffett Field, California 94035

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<jats:p>The dynamic subgrid-scale (SGS) model of Germano et al. [Phys. Fluids A 3, 1760 (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 from the DNS data.</jats:p>

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