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In the higher-order SGS model, what is the velocity scale used?

(a) The ratio of the SGS turbulent kinetic energy to the SGS eddy viscosity

(b) The product of the SGS turbulent kinetic energy and the SGS eddy viscosity

(c) The square root of the SGS eddy viscosity

(d) The square root of the SGS turbulent kinetic energy

This question was posed to me in class test.

I would like to ask this question from Turbulence Modelling in division Turbulence Modelling of Computational Fluid Dynamics

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The correct option is (d) The square root of the SGS turbulent kinetic energy

The best explanation: The major difference between the Smagorinsky-Lilly SGS model and the higher-order SGS models is the velocity scale used. The higher order models use velocity scale which is equal to the square root of the SGS turbulent kinetic energy.

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