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Mathematics Group

Voronoi Implicit Interface Methods for Multiphase Physics

Voronoi Implicit Interface Methods, known as “VIIM”, provide the first robust, accurate, and reliable mathematical and computational methodology to track multiple interacting and evolving regions (“phases”) whose motion is determined by complex physics (fluids, mechanics, elasticity, etc.). This approach automatically handles multiple junctions, triple points/lines and quadruple points, and topological changes in the system occur naturally, with no surgery required. These methods are now being applied to manufacturing industrial foams, coarsening in grain metals, and multi-phase fluid/solid interactions under elasticity, hydrodynamics, and geometrical constraints.

This work is by James Sethian and Robert Saye.