Topological index analysis and its application to multi-physical systems in system simulation software

This work is devoted to the topological analysis of multi-physical networks stemming from automated modeling processes in system simulation software. A special focus is on the methodical treatment of multi-physical networks, which can be utilized to develop robust and user-friendly simulation tools. In the multi-physical case, the already available topological criteria of different physics have to be merged and reinterpreted. A general receipt for their analysis is described in terms of a representative example, a fluid-solid network which is thermally coupled. The theoretical results are put in context to a practical realization in a simulation software in terms of modeling and coupling concepts, which help to improve the useability of system simulation software for software application engineers.