Modelling and computer simulations with the use of a specific organisation of calculations

Progress in computational methods has been stimulated by the widespread availability of cheap computational power leading to the improved efficiency of simulation software. Simulation tools become indispensable tools for engineers who are interested in attacking increasingly more significant problems or are interested in searching larger phase space of process and system variables to find the optimal design. In this paper, we show and introduce a new approach to modelling of a real physical process (binary alloy solidification) which involves time-stepping technique and allows to decrease computational cost. Implementation of our algorithm does not require a parallel computing environment but can use it after making some minor adjustments in source code. Our strategy divides domains of a dynamically changing physical phenomena. We are the first (to our best knowledge) to show that it is possible to use such a sequential organisation of calculations during the simulation of the solidification process. Our method is independent of domains considered, because of the natural separation of domain types (a cast, a core, a mould, etc.). Finally, we performed numerical experiments and demonstrate that our approach allows reducing computational time against traditional sequential computations and gives physically appropriate results.