Simulating and Modelling Grain Growth as the Motion of a Weighted Voronoi Diagram
H. Telley, Th. M. Liebling, Ana Paula Giussani Mocellin, F. Righetti · Materials science forum · 1992
Laguerre (or weighted Voronoi) diagrams are used as geometric idealization of 2-d polycrytals. The approximation is satisfactory. These cell structures are entirely defined by a set of weighted sites, and their motion (including the induced topological transformations) is transferred to that of the sites. Grain growth is modelled by solving a specific motion equation derived from v=MP. First simulation results are satisfactory. The approach is 3-D generalizable.