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Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions

Mauro Sbragaglia·Sauro Succi
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Abstract

We present a mathematical formulation of kinetic boundary conditions for Lattice Boltzmann schemes in terms of reflection, slip, and accommodation coefficients. It is analytically and numerically shown that, in the presence of a non-zero slip coefficient, the Lattice Boltzmann flow develops a physical slip flow component at the wall. Moreover, it is shown that the slip coefficient can be tuned in such a way to recover quantitative agreement with analytical and experimental results up to second order in the Knudsen number.

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Mauro Sbragaglia, Sauro Succi. 2004-10-20. Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions. https://doi.org/10.1063/1.2044829

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