Melting is the transition from solid state to a liquid state. As
solid material turns into liquid, the shape of the solid object
changes. Grid-based approaches permit the use of Eulerian
approaches for the fluid dynamics and level set values can be
stored at the cells to track the object's boundary. To model the
deformations due to material loss early methods chose a voxel
representation for the ice object as it allows for a volumetric
representation of the object and simple erosion of ice during
melting. In order to simulate the transition from solid to liquid the
heat conduction on the object needs to be modelled. The voxel
structure can be used to solve the heat conduction by transferring
heat between neighbouring voxels,