A BBGKY-based density gradient approximation of interparticle forces: Application for discrete Boltzman methods
The force term accounting for intermolecular interactions, with application to discrete Boltzmann simulation methods, is derived directly using a density gradient expansion of the BBGKY collision operator. It is shown that previous calculations, based on essentially the same mean-field-theory philosophy, do not apply the density gradient approximation in a self consistent fashion.Thus these previous models have errors in the second virial coefficient as well as coefficients associated with gradient terms in the pressure tensor. This new treatment corrects these shortcomings.
Journal of Statistical Physics
BBGKY, density gradient approximation, fluid mexutres, kinetic theory, Lattice Boltzmann