Solution of the Pure Metals Solidification Problem by Involving the Material Shrinkage and the Air-Gap Between Material and Mold

In this paper we describe an algorithm for solving the pure metals solidification problem by involving the metal shrinkage and air-gap between material and mold. In this algorithm we use the finite element method supplemented by the procedures allowing to define the position of the moving interface and the change of the material size associated with the shrinkage. We present also an example illustrating the precision of presented method.