A simple model for the solidification of globular grains in metallic alloys is presented. Based on the Voronoi diagram of the nuclei centers, it accounts for the curvature of the grains near triple junctions. The predictions of this model are close to those of more refined approaches such as the phase field method, but with a computation cost decreased by several orders of magnitude. Therefore, this model is ideally suited for granular simulations linking the behavior of individual grains to macroscopic properties of the material.
@article{arxiv.0711.4122,
title = {A simple and efficient model for mesoscale solidification simulation of globular grain structures},
author = {Stéphane Vernède and Michel Rappaz},
journal= {arXiv preprint arXiv:0711.4122},
year = {2007}
}