The eXtreme Mesh deformation approach (X-MESH) for the Stefan phase-change model

The eXtreme MESH deformation approach is a new method to follow sharp interfaces without remeshing and without changing the mesh topology. Moreover, the interface may change topology (nucleation, coalescence, splitting). The key idea is to allow elements to reach zero measure. This permits interface relaying, annihilation and seeding in a time continuous manner. The paper targets the Stefan phase-change model. Several examples demonstrate the capability of the approach.