Solid-liquid phase change phenomena are present in a large number of industrial applications and natural processes like material processing, crystal growth, heat storage, icebergs or magma eruption. Numerical modelling of strongly non-linear, moving boundary, thermal and fluid flow problems is a challenging task. The book gives a review of modelling methods of phase change problems, numerical and experimental methods used in the field. It combines experience of theoreticians with those using numerical tools for modelling problems of solidification. It offers researchers and engineers knowledge and critical assessment of numerical approaches, physical models and validation methods used in the field of modelling industrial problems. The book collects in an unique way most recent knowledge on modelling of phase change problems, from micro scale problems and the interface (growth of dendrites) to macro scale models.