@Article{CiCP-7-423,
author = {},
title = {Improved Lattice Boltzmann Without Parasitic Currents for Rayleigh-Taylor Instability},
journal = {Communications in Computational Physics},
year = {2010},
volume = {7},
number = {3},
pages = {423--444},
abstract = {<p style="text-align: justify;">Over the last decade the Lattice Boltzmann Method (LBM) has gained significant
interest as a numerical solver for multiphase flows. However most of the LB
variants proposed to date are still faced with discreteness artifacts in the form of spurious
currents around fluid-fluid interfaces. In the recent past, Lee et al. have proposed
a new LB scheme, based on a higher order differencing of the non-ideal forces, which
appears to virtually free of spurious currents for a number of representative situations.
In this paper, we analyze the Lee method and show that, although strictly speaking, it
lacks exact mass conservation, in actual simulations, the mass-breaking terms exhibit
a self-stabilizing dynamics which leads to their disappearance in the long-term evolution.
This property is specifically demonstrated for the case of a moving droplet at
low-Weber number, and contrasted with the behaviour of the Shan-Chen model. Furthermore,
the Lee scheme is for the first time applied to the problem of gravity-driven
Rayleigh-Taylor instability. Direct comparison with literature data for different values
of the Reynolds number, shows again satisfactory agreement. A grid-sensitivity
study shows that, while large grids are required to converge the fine-scale details, the
large-scale features of the flow settle-down at relatively low resolution. We conclude
that the Lee method provides a viable technique for the simulation of Rayleigh-Taylor
instabilities on a significant parameter range of Reynolds and Weber numbers.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2009.09.018},
url = {http://global-sci.org/intro/article_detail/cicp/7637.html}
}