The work introduces a BGK-like closure for the collision-covariance source term using the subgrid equilibrium residual and a phenomenological turbulent relaxation frequency, validated in lattice Boltzmann simulations against Smagorinsky.
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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.
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Kinetic closure of turbulence: collision-side modeling beyond the filtered BGK--Boltzmann equation
The work introduces a BGK-like closure for the collision-covariance source term using the subgrid equilibrium residual and a phenomenological turbulent relaxation frequency, validated in lattice Boltzmann simulations against Smagorinsky.
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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.