@Article{CiCP-22-422,
author = {Yujie Zhang and Wenjing Ye},
title = {A Flux-Corrected Phase-Field Method for Surface Diffusion},
journal = {Communications in Computational Physics},
year = {2018},
volume = {22},
number = {2},
pages = {422--440},
abstract = {<p style="text-align: justify;">Phase-field methods with a degenerate mobility have been widely used to
simulate surface diffusion motion. However, apart from the motion induced by surface
diffusion, adverse effects such as shrinkage, coarsening and false merging have been
observed in the results obtained from the current phase-field methods, which largely
affect the accuracy and numerical stability of these methods. In this paper, a flux-corrected
phase-field method is proposed to improve the performance of phase-field
methods for simulating surface diffusion. The three effects were numerically studied
for the proposed method and compared with those observed in the two existing methods,
the original phase-field method and the profile-corrected phase-field method. Results
show that compared to the original phase-field method, the shrinkage effect in the
profile-corrected phase-field method has been significantly reduced. However, coarsening
and false merging effects still present and can be significant in some cases. The
flux-corrected phase field performs the best in terms of eliminating the shrinkage and
coarsening effects. The false merging effect still exists when the diffuse regions of different
interfaces overlap with each other. But it has been much reduced as compared
to that in the other two methods.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0150},
url = {http://global-sci.org/intro/article_detail/cicp/11304.html}
}