Abstract. The major methods of mathematical modelling of solidification and melting
problems are reviewed in this, paper. Different analytical methods nowadays still, used
as standard references to validate, numerical models are presented. Various. Mathematical
formulations to numerically solve solidification and melting problems are categorized. Relative
.Merits and disadvantages of each formulation are analysed. Recent advances in modelling
solidification and melting problems. Associated with convective motion of liquid phase are
discussed. Based on this comprehensive survey basic guidelines, are. Outlined to choose a
correct mathematical formulation for solving solidification and melting problems.
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