On the Voronoi Implicit Interface Method

Alexander Zaitzeff; Selim Esedoglu; Krishna Garikipati

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arXiv · 1810.10920

On the Voronoi Implicit Interface Method

Alexander Zaitzeff·Selim Esedoglu·Krishna Garikipati

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Abstract

We present careful numerical convergence studies, using parameterized curves to reach very high resolutions in two dimensions, of a level set method for multiphase curvature motion known as the Voronoi implicit interface method. Our tests demonstrate that in the unequal, additive surface tension case, the Voronoi implicit interface method does not converge to the desired limit. We then present a variant that maintains the spirit of the original algorithm, and appears to fix the non-convergence. As a bonus, the new variant extends the Voronoi implicit interface method to unequal mobilities.

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Alexander Zaitzeff, Selim Esedoglu, Krishna Garikipati. 2019-05-21. On the Voronoi Implicit Interface Method. https://arxiv.org/abs/1810.10920

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