A kinetic closure of the filtered Boltzmann-BGK equation retains the subfilter stress tensor without Smagorinsky ansatz and generalizes BGK for subfilter diffusion, with Chapman-Enskog limit to filtered Navier-Stokes and improved stability in Taylor-Green and mixing-layer tests.
Davidson,Turbulence: An Introduction for Scientists and Engineers, 2nd ed
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Kinetic closure of turbulence
A kinetic closure of the filtered Boltzmann-BGK equation retains the subfilter stress tensor without Smagorinsky ansatz and generalizes BGK for subfilter diffusion, with Chapman-Enskog limit to filtered Navier-Stokes and improved stability in Taylor-Green and mixing-layer tests.