Certified coupled model order reduction (CCMOR)

The research project certified coupled model order reduction (CCMOR) is being worked on by Johannes Rettberg, supervised by Prof. Jörg Fehr at the Institute of Engineering and Computational Mechanics (ITM) and in cooperation with Dominik Wittwar and Prof. Bernard Haasdonk from the Institute of Applied Analysis and Numerical Simulation (IANS). The joint project is funded by Deutsche Forschungsgemeinschaft (DFG, German Research Foundation). The project aims to extend and enhance model order reduction (MOR) techniques for coupled multi-physics systems considering continuum-based models, e.g. with fluid-structure interaction or thermoelastic behaviour. Simulation-based data generation can form the basis for data-based model order reduction. Well-established methods such as Proper Orthogonal Decomposition (POD) as well as recently developed methods like Proper Symplectic Decomposition (PSD) among others will be examined, whereas the latter exploits the symplectic structure of the underlying system which can lead better reduction results. In general, structural properties, e.g. stability or passivity, of the Multiphysics system shall be preserved through the reduction process. Ideally, these techniques should result in small bases for the reduced system that provide a higher accuracy than the current basis generation techniques and overall faster numerical simulation. Leveraging the underlying structure, we will improve existing error estimation techniques for both the states and outputs of interest. In particular, high effectivity and small overestimation will be realized by extending auxiliary linear problem (ALP) based error estimates to our structure-preserving MOR framework.