Curvature calculations for the level-set method
Fluid Dynamics
2014-09-24 v1 Computational Physics
Abstract
The present work illustrates a difficulty with the level-set method to accurately capture the curvature of interfaces in regions that are of equal distance to two or more interfaces. Such regions are characterized by kinks in the level-set function where the derivative is discontinuous. Thus the standard discretization scheme is not suitable. Three discretization schemes are outlined that are shown to perform better than the standard discretization on two selected test cases.
Cite
@article{arxiv.1409.6555,
title = {Curvature calculations for the level-set method},
author = {Karl Yngve Lervåg and Åsmund Ervik},
journal= {arXiv preprint arXiv:1409.6555},
year = {2014}
}
Comments
9 pages, 6 figures, conference paper