Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions
arXiv:nlin/0410039 · doi:10.1063/1.2044829
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.
27 pages, 4 figures