Application of the enthalpy approach in numerical modelling of solidification process

The numerical modelling of the Stefan problem using directly the typical description of the process is rather difficult. In this connection one can find in literature the models basing on the enthalpy convention and the artificial mushy zone introduction. This paper summarizes the state of the art of the enthalpy models of phase change problems. The part of the approaches discussed has been modified by the authors of the paper, we also present the new interpretations of some models.