Order parameter re-mapping algorithm for 3D phase field model of grain growth using FEM

2D simulation with grains spanning periodic boundary conditions. (a) initial grain structure, (b) final grain structure after 6000 ns, (c) plot of the average grain area versus time. (a) and (b) are shaded by unique grain ID. Average grain area behaves the same for sixteen or more order parameters once the grain tracker is activated. There fore, the model is evolving correctly (without coalescence).89