Laplacian

Branching structures emerge during supercooled crystal growth due to the interplay of phase change and temperature as liquid becomes solid. This project explores 2D and 3D simulations of dendritic solidification.

Laplacian growth involves a structure which expands at a rate proportional to the gradient of a laplacian field. Under the right circumstances, this leads to instabilities causing intricate, fractal branching structure to emerge.