Modeling consists of the abstract description of a static or dynamic system. Usually, models are expressed by mathematical descriptions. Models driven by data, in brief data driven modeling, have become of interest in the last years. Models are used to analyze or to predict natural or imaginary processes and are supposed to describe the essential parameters of natural phenomena and their functional relations. The formal description makes the underlying system accessible for computations. Basically one can distinguish between the modeling of the geometry, the material properties, and the phenomenon to be simulated. The efficient simulation in terms of computing time and generated data of large-scale problems requires highly specialized physically based modeling techniques that can be adapted flexibly to the requirements of the respective application. Via the intelligent reduction of the complexity of a model or the multidisciplinary coupling of several models the duration, the costs, and hence the feasibility of a computation can be crucially affected and the high quality of the results can be ensured.
Topic Modeling in the Profile Area
The RWTH has experience in the field of experimental and numerically supported modelling, working within the framework of Collaborative Research Centres and priority programmes. In the SFB 985 Functional Microgels and Microgel Systems, however, the development of a synthesis of new and highly functional microgels is being pursued without explicitly resorting to sophisticated simulation methods, which must be combined with a cross-scale, quantitative understanding of their structure and properties. In addition, the SPP 1506 describes the phase interface in multiphase flows by means of multi-scale models, which are to be expanded in terms of their physico-chemical phenomena. From a medical point of view, the ongoing work in the field of molecular modeling and data-driven modelling, which lies in the interface with the topic of data, should be mentioned. What all projects have in common is that improved or novel models, e. g. constitutive laws, can only be developed in integrative interdisciplinary cooperation. This results in a research need for the profile area CompSE in the field of modeling, which leads to the following research topics:
- Multiscale modelling
- Reduced order modeling (physical based)
- Multidisciplinary Modelling
The areas of application of these research topics touch on the socially relevant fields of research defined by the Federal Government in analogy to the topic of data. The examples illustrate that the integrative interdisciplinary approach of the RWTH provides an excellent basis for the success of future research efforts in the field of modeling due to the necessary breadth of scientific competence.