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ON THE VORONOI IMPLICIT INTERFACE METHOD
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DOI：10.1137/18M1222569.png)
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摘要
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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 nonconvergence. As a bonus, the new variant extends the Voronoi implicit interface method to unequal mobilities.
Keyword:
multiphase flow
interfacial motion
level set method
mean curvature flow
grain boundary motion
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