Numerical modelling has become an important tool for improving or introducing new processes in bulk crystal growth. For a complete description, scales ranging from atomistic ones up to those of industrial furnaces have to be considered. This article presents methods used on different scales for the Czochralski growth of silicon as well as of Ge1–xSix alloys and for ingot casting of silicon. It shows the recent developments for the different scales and the attempts at coupling the approaches.