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

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.

arXiv comment27 pages, 4 figures

References in corpus (4)

• Kinetic boundary conditions in the lattice Boltzmann method
• Slip behavior in liquid films on surfaces of patterned wettability: Comparison between continuum and molecular dynamics simulations
• Lattice Boltzmann method at finite-Knudsen numbers
• Lattice-Boltzmann Simulations of Fluid Flows in MEMS

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