Numerical modelling of melting and solidification problems-A review

Abstract

A generalised mathematical formulation is provided for any melting and solidification problem. Non-dimensional parameters governing this problem are identified. Depending on the problem, ways of simplifying the generalised mathematical statement are discussed. Different methods of formulation of melting and solidification problems, namely, variable and fixed domain methods, are discussed highlighting their merits and demerits. Methods to solve the momentum equation in the molten region and model alloy solidification problems are presented. Recent progress in all the numerical methods is reviewed. Critical numerical aspects of all the methods are discussed. Guidelines are provided to select the correct numerical method. Areas needing emphasis in future research are highlighted. © 1992 Indian Academy of Sciences.