Based on the software complex Ansys CFX, a three-dimensional computer model of complex heat transfer in a continuous casting and pressing of non-ferrous metals has been developed. The features of constructing a computational grid and solving the system of differential energy equations for the processed metal and the elements of the installation are considered. The dynamics of the process of casting and pressing of aluminum alloy on an experimental laboratory installation is studied. Calculated temperatures of the metal and elements of the prototype of the installation are determined. An experimental estimation of reliability of modeling results is carried out and adequacy of the developed computer model is shown.