Singular forces and point-like colloids in lattice Boltzmann hydrodynamics
Soft Condensed Matter
2009-11-13 v1
Abstract
We present a second-order accurate method to include arbitrary distributions of force densities in the lattice Boltzmann formulation of hydrodynamics. Our method may be used to represent singular force densities arising either from momentum-conserving internal forces or from external forces which do not conserve momentum. We validate our method with several examples involving point forces and find excellent agreement with analytical results. A minimal model for dilute sedimenting particles is presented using the method which promises a substantial gain in computational efficiency.
Keywords
Cite
@article{arxiv.0707.1299,
title = {Singular forces and point-like colloids in lattice Boltzmann hydrodynamics},
author = {R. W. Nash and R. Adhikari and M. E. Cates},
journal= {arXiv preprint arXiv:0707.1299},
year = {2009}
}
Comments
22 pages, 9 figures. Submitted to Phys. Rev. E