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

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Sbragaglia, M., Succi, S.·2005·Physics of Fluids

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 nonzero slip coefficient, the lattice Boltzmann 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 the analytical and experimental results up to second order in the Knudsen number.

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Metadata

Authors
Sbragaglia, M., & Succi, S.
Venue
Physics of Fluids
Published
2005-09-01
Volume
17
Issue
9
ISSN
  • 1070-6631 (ISSN-L)
  • 1089-7666
OpenAlex
W2129713822
Cited by
182
References
0
FWCI
14.80
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions. https://app.cochat.ai/papers/10.1063/1.2044829
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Sbragaglia, M., & Succi, S. (2005). Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions. Physics of Fluids. https://doi.org/10.1063/1.2044829

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.