Xy. He et al., DISCRETE BOLTZMANN-EQUATION MODEL FOR NONIDEAL GASES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(1), 1998, pp. 13-16
A discrete model based an the Boltzmann equation with a body force and
a single relaxation time collision model is derived for simulations o
f nonideal-gas flow. The interparticle interaction is treated using a
mean-field approximation. The Boltzmann equation is discretized in a w
ay that preserves the derivation of the hydrodynamic equations from th
e Boltzmann equation, using either the Chapman-Enskog method or the Gr
ad 13-moment method. The previously proposed nonideal-gas lattice Bolt
zmann equation model can be analyzed with rigor.