The Voronoi Implicit Interface Method is a robust, accurate, and efficient numerical method to track a large number of evolving interfaces moving under coupled complex interactions of geometry, physics, constraints, and internal boundary conditions.
The VIIM is a powerful method to track multiple interfaces with a single function. The central idea of the VIIM is to use an unsigned distance function to ...
Oct 25, 2018 · Our tests demonstrate that in the unequal, additive surface tension case, the Voronoi implicit interface method does not converge to the desired ...
Jul 15, 2012 · We analyze a new mathematical and numerical framework, the “Voronoi Implicit Interface Method” (“VIIM”), first introduced in Saye and Sethian (2011).
Oct 25, 2018 · Our second contribution in this paper is to present a modification of the Voronoi implicit interface method that fixes the non-convergence and ...
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In collaboration with James Sethian, I developed the Voronoi Implicit Interface Method for tracking multiple interacting and evolving regions whose motion may ...
In this thesis, the Voronoi Implicit Interface Method (VIIM) is presented together with several applications in multiphase curvature flow, multiphase ...
Jul 25, 2019 · We present careful numerical convergence studies, using parameterized curves to reach very high resolutions in two dimensions, ...
On the Voronoi Implicit Interface Method. When and Where. Apr 24, 2019 9:30am - 10:00am. PCC West, 100 Level, Room 106 B. Presenter(s). Alexander Zaitzeff.
This repository contains the code for the paper "On the Voronoi Implicit Interface Method" by Alexander Zaitzeff, Selim Esedoglu and Krishnakumar Garikipati.