In this work, we extended the numerical model for microstructure simulation, which is based on the method of point automata, from two to three dimensions. In doing so, we replaced the classical cellular automata with stochastically distributed points. We used heterogeneous nucleation and Lipton-Glicksman-Kurz grain growth model. Calculations with different discretisations were verified based on a comparison with the analytical solution for different orientations. We coupled the developed model with the temperature field model and simulated the microstructure of C50 steel during continuous casting.
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