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

By Mauro Sbragaglia, Sauro Succi. 2004

172 citations recorded by the source corpus.

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.

Subfields: Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/ef666d98fbbcbb2252ed7b7b19ee55f6d9026797

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In Computational Mechanics

In Electrical and Electronic Engineering

Citations in the corpus

Analysis of lattice Boltzmann equation for microscale gas flows: Relaxation times, boundary conditions and the Knudsen layer (2008, unknown): “…number effects (Agrawal et al. 2005, Guo et al. 2006, 2007, 2008, Kim et al. 2005, Lee and Lin 2005, Lim et al. 2002, Nie et al. 2002, Niu et al. 2004, Sbragaglia and Succi 2005, Sofonea and Sekerka 2005, Tang et al. 2005, Teixeira 2005, Toschi and Succi 2005, Zhang et al. 2005, 2006, 2007).”
Study of Simple Hydrodynamic Solutions with the Two-Relaxation-Times Lattice Boltzmann Scheme (2008, methodology): “g, in [2,35,36], to boundary layer continuum solutions [5, 26].”
Lattice Boltzmann method for microfluidics: models and applications (2011, background): “Various such s * Kn relationships have been proposed from different viewpoints (Nie et al. 2002; Lim et al. 2002; Sbragaglia and Succi 2005; Zhang et al. 2005b).”
The lattice Boltzmann method for isothermal micro-gaseous flow and its application in shale gas flow: a review (2015, methodology): “[53] S. Succi, Mesoscopic modeling of slip motion at fluid-solid interfaces with heterogeneous catalysis, Physical review letters 89 (6) (2002) 064502.”
Two-Relaxation-Time Lattice Boltzmann Scheme: About Parametrization, Velocity, Pressure and Mixed Boundary Conditions (2008, methodology): “, in [4, 43, 45], and hope this can be suitable to model rarefied gas flows.”