Computational Modeling of Free and Moving Boundary Problems III

The names free and moving boundary problems, can be applied to a wide variety of physical situations. The common feature is the presence, in the mathematical model, of an initial unknown (free) boundary or a boundary which moves throughout the analysis, the determination of which is an essential part of the solution procedure. Examples of moving boundary problems are scrap melting in metallurgy, free surface flows in hydraulics and fluid mechanics, and the cooling and freezing of foodstuffs. Although completely different in nature, these problems have several common features regarding their mathematical modelling and computational methods of solution.