@Article{CiCP-19-329,
author = {Florian Kummer and Tim Warburton},
title = {Patch-Recovery Filters for Curvature in Discontinuous Galerkin-Based Level-Set Methods},
journal = {Communications in Computational Physics},
year = {2018},
volume = {19},
number = {2},
pages = {329--353},
abstract = {<p style="text-align: justify;">In two-phase flow simulations, a difficult issue is usually the treatment of
surface tension effects. These cause a pressure jump that is proportional to the curvature
of the interface separating the two fluids. Since the evaluation of the curvature incorporates
second derivatives, it is prone to numerical instabilities. Within this work,
the interface is described by a level-set method based on a discontinuous Galerkin
discretization. In order to stabilize the evaluation of the curvature, a patch-recovery
operation is employed. There are numerous ways in which this filtering operation
can be applied in the whole process of curvature computation. Therefore, an extensive
numerical study is performed to identify optimal settings for the patch-recovery
operations with respect to computational cost and accuracy.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.191114.140715a},
url = {http://global-sci.org/intro/article_detail/cicp/11091.html}
}