A new vertex-based model of two-dimensional grain growth is presented. The motion of each vertex is determined by the curvature-driven motions of the adjacent boundaries. Boundary curvatures are approximated by a geometrical construction that is fully specified by the locations of the three neighbouring vertices. Simulations based on this model exhibit parabolic growth kinetics for the grain aggregate, and the Mullins-von Neumann growth law is obtained for individual grains.
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