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26 April 2024
 
  » arxiv » cond-mat/0509283

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A note on the lattice Boltzmann method beyond the Chapman Enskog limits
Mauro Sbragaglia ; Sauro Succi ;
Date 12 Sep 2005
Subject Statistical Mechanics; Fluid Dynamics; Cellular Automata and Lattice Gases | cond-mat.stat-mech nlin.CG physics.flu-dyn
AbstractA non-perturbative analysis of the Bhatnagar-Gross-Krook (BGK) model kinetic equation for finite values of the Knudsen number is presented. This analysis indicates why discrete kinetic versions of the BGK equation, and notably the Lattice Boltzmann method, can provide semi-quantitative results also in the non-hydrodynamic, finite-Knudsen regime, up to $Knsim {cal O}(1)$. This may help the interpretation of recent Lattice Boltzmann simulations of microflows, which show satisfactory agreement with continuum kinetic theory in the moderate-Knudsen regime.
Source arXiv, cond-mat/0509283
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