The article presents the results of the development of mathematical models for the movement of layers of blast-furnace charge and the accumulation of the melt of liquid smelting products in the hearth of a blast furnace. The movement of layers of iron ore materials and coke is modeled along the height of the working space, taking into account the given ore load in equal-sized annular zones of the blast furnace. The model provides for the adjustment of masses and volumes of cast iron and slag melts in accordance with changing melting conditions - blast consumption, natural gas, oxygen concentration in the blast, changing coke specific consumption. The developed mathematical models make it possible to evaluate the dynamics of changes in the configuration of the layers of the blast-furnace charge along the height of the working space, as well as the process of accumulation of the melt in the hearth of the blast furnace, using really available information about the operating furnace.