On the relationship between the diffuse reflection and bounce-back boundary condition in the continuum limit
Fluid Dynamics
2018-08-31 v2
Abstract
In this work, we show that the widely used bounce-back boundary condition is an incomplete form of the diffuse reflection boundary condition at the continuum limit for lattice Boltzmann simulations. By utilizing this fact, we can force the diffuse reflection scheme to work at its continuum limit so that the no-slip boundary condition can be implemented without any non-physical slip velocity error being induced by the standard bounce-back scheme. The revised boundary formulation is validated numerically by solving a pressure-driven channel flow, a lid-driven cavity flow and channel flow around a square cylinder.
Keywords
Cite
@article{arxiv.1803.00390,
title = {On the relationship between the diffuse reflection and bounce-back boundary condition in the continuum limit},
author = {Jianping Meng and Xiao-Jun Gu and David R Emerson and Yong Peng and Jianmin Zhang},
journal= {arXiv preprint arXiv:1803.00390},
year = {2018}
}
Comments
11 pages, 16 figures