As a part of the initiative Industry 4.0, the level of digitization in the process industry is increasing. Through a close link between analytics and dynamic modeling, digitization enables the optimization in processing industry or the model-based control. For this purpose, mathematical models of the process level enabling real time simulations have to be known. In the field of solid-liquid separation the advancing digitization forces the development of numerical flow simulation methods and short-cut models to deepen process understanding and mathematical process modeling. Resolved flow simulations should be seen as support for experiments to develop suitable dynamic models for short-cut models. Based on the prerequisites, the development of dynamic process models and their application using the example of solid bowl centrifuges is described.