@Article{CiCP-25-289,
author = {},
title = {Numerical Study on Statistical Behaviors of Two-Dimensional Dry Foam},
journal = {Communications in Computational Physics},
year = {2018},
volume = {25},
number = {1},
pages = {289--310},
abstract = {<p style="text-align: justify;">We investigate the statistical behaviors of two-dimensional dry foam using numerical simulations based on the immersed boundary (IB) method. We model the liquid phase of a foam as a thin elastic boundary with surface tension and the gas phase as a viscous incompressible fluid which can go through the liquid boundary. We present evidence of the existence of a limiting scaling state of the dry foam dynamics in which the asymptotic value of µ<sub style="white-space: normal;">2</sub>, the second moment of the distribution of the numbers of cell sides, lies in the range of 1.3±0.3. We also numerically verify some well-known formulas derived in the dynamics of two-dimensional dry foam such as von Neumann relation, Lewis law, and Aboav-Weaire law. Our simulation results are comparable to those of soap froth experiments and Potts model simulations. Furthermore, we investigate the statistical behaviors of two-dimensional dry foam in an oscillatory shear flow to show the applicability of our method to more general flow conditions.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2017-0242},
url = {http://global-sci.org/intro/article_detail/cicp/12672.html}
}