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

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

2004-10-20

arxiv.org/abs/nlin/0410039v1

Phys. Fluids 17, 093602 (2005)

Nonlinear Sciences

Cellular Automata and Lattice Gases

27 pages, 4 figures

Scientific paper

10.1063/1.2044829

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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