Consistent Lattice Boltzmann Method
Statistical Mechanics
2007-05-23 v1
Abstract
The problem of energy conservation in the lattice Boltzmann method is solved. A novel model with energy conservation is derived from Boltzmann's kinetic theory. It is demonstrated that the full thermo-hydrodynamics pertinent to the Boltzmann equation is recovered in the domain where variations around the reference temperature are small. Simulation of a Poiseuille micro-flow is performed in a quantitative agreement with exact results for low and moderate Knudsen numbers. The new model extends in a natural way the standard lattice Boltzmann method to a thermodynamically consistent simulation tool for nearly-incompressible flows.
Cite
@article{arxiv.cond-mat/0507295,
title = {Consistent Lattice Boltzmann Method},
author = {S. Ansumali and I. V. Karlin},
journal= {arXiv preprint arXiv:cond-mat/0507295},
year = {2007}
}
Comments
5 pages, 1 figure