The numerical calculation of some model, which describes the metals’ crystallization process I. 1-D case

The preprint describes recently proposed model of metals’ crystallization [5] and shows the numerical calculations performed with respect to this model. Up to now only 1-D case is considered. The crystallization model is mainly the coupling of Biot's model for perturbations propagation in porous media and Kahn-Hillard model for crystallization germs growth. The numerical scheme used for calculations and described in preprint is implicit. For the sake of comparison the calculations with respect to appropriate explicit scheme are also included. It is shown that the results for implicit and explicit schemes coincide, but naturally explicit scheme is working much faster. It also can be seen that obtained functions allow reasonable physical interpretation that is confirmed by physical experimenting and industrial experience.