A Simple Level Set Method for Solving Stefan Problems

sented. This method can be applied to problems involving dendritic The process of crystal growth begins when one places a solidification. Our method consists of an implicit finite difference small seed of solid material into a surrounding bath of scheme for solving the heat equation and a level set approach undercooled liquid. Heat is released at the solid/liquid for capturing the front between solid and liquid phases of a pure interface into the liquid region. Undercooling drives the substance. Our method is accurate with respect to some exact solugrowth of the solid and triggers the instability mechanism, tions of the Stefan problem. Results indicate that this method can