The report presents the results of developing an automated system for modeling the processes of layer movement of charge materials and melt accumulation in a blast furnace hearth, based on mathematical models that reflect modern concepts of the physical and chemical phenomena of blast furnace smelting and the technological peculiarities of conducting the blast furnace process. The use of the system makes it possible to determine and visualize the configuration of layers of iron ore materials and coke by the height of the working space taking into account the specified ore load in the equal-area annular zones of the blast furnace. The calculation of the melt accumulation process in the blast furnace hearth involves determining the volume of slag remaining in the furnace after closure of the tap hole of the previous tap, calculating the dynamics of filling the furnace hearth with cast iron and slag, determining the volumetric output of pig iron and slag during the inter-tap period, and calculating the duration of the tap from the furnace. The developed system can be used by technological personnel of blast furnace production to study the processes occurring in blast furnaces, improve the technological operating modes of blast furnaces, and predict the course of blast furnace smelting in real-time under conditions of their instability.