Continuum Free-Energy formulation for a class of Lattice Boltzmann multiphase models
Computational Physics
2015-05-13 v1 Soft Condensed Matter
Fluid Dynamics
Abstract
It is shown that the Shan-Chen (SC) model for non-ideal lattice fluids can be made compliant with a pseudo free-energy principle by simple addition of a gradient force, whose expression is uniquely specified in terms of the fluid density. This additional term is numerically shown to provide fairly negligible effects on the system evolution during phase-separation. To the best of our knowledge, these important properties of the SC model were not noted before. The approach developed in the present work is based on a continuum analysis: further extensions, more in line with a discrete lattice theory (X. Shan, {\it Phys Rev E}, {\bf 77} 066702 (2008)) can be envisaged for the future.
Keywords
Cite
@article{arxiv.0901.4799,
title = {Continuum Free-Energy formulation for a class of Lattice Boltzmann multiphase models},
author = {M. Sbragaglia and H. Chen and X. Shan and S. Succi},
journal= {arXiv preprint arXiv:0901.4799},
year = {2015}
}
Comments
6 pages, 2 figures