English

Diffusion in a multi-component Lattice Boltzmann Equation model

comp-gas 2009-10-28 v1 Cellular Automata and Lattice Gases

Abstract

Diffusion phenomena in a multiple component lattice Boltzmann Equation (LBE) model are discussed in detail. The mass fluxes associated with different mechanical driving forces are obtained using a Chapman-Enskog analysis. This model is found to have correct diffusion behavior and the multiple diffusion coefficients are obtained analytically. The analytical results are further confirmed by numerical simulations in a few solvable limiting cases. The LBE model is established as a useful computational tool for the simulation of mass transfer in fluid systems with external forces.

Keywords

Cite

@article{arxiv.comp-gas/9605003,
  title  = {Diffusion in a multi-component Lattice Boltzmann Equation model},
  author = {Xiaowen Shan and Gary Doolen},
  journal= {arXiv preprint arXiv:comp-gas/9605003},
  year   = {2009}
}

Comments

To appear in Aug 1 issue of PRE