11 research outputs found
A note on the lattice Boltzmann method beyond the Chapman Enskog limits
A 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 . 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.Comment: 7 PAGES, 1 FIGUR