Abstract Materials manufacturing like steelmaking processes are highly complex combinations of various matter and energy transformation and transportation phenomena. In this paper high temperature processes are looked as a subject of modelling and simulation for process control measures and programs. General prerequisite for successful simulation is that all essential phenomena controlling the progress of the process can be interconnected and the chemical and thermal progress of the process from the charge to the main and side products or wastes can be described with sufficient accuracy in spatial (continuous, stationary processes) or temporal (batch processes) coordinates using simulation tools of different principles and origin. Different principles and tools for simulation of high temperature processes as well as prerequisites and problems on “quantitative” simulation are discussed. Oxygen converter process (LD, BOF) is used as an example. The main phenomena essential in modelling of this process are described. Basic principles of CONSIM oxygen converter simulator and some results obtained with simulation of 55 ton LD-converter at Koverhar steelworks are presented. Experiences and problems involving in simulation of such complex high temperature process as oxygen converting of hot metal are discussed.