April 18th, 2024 – 11:00 am
The material flow problems under consideration are inspired by real experiments and allow for a multi-scale model hierarchy description.
Starting from a detailed microscopic model based on individual trajectories, a corresponding macroscopic model is derived, leading to conservation laws with non-local interaction term. Both modeling approaches are fitted against real data from the experimental setup and applied to further applications.
In addition to numerical simulation results, we also address some theoretical results emerging within this interdisciplinary project.
Bio: Simone Göttlich is full professor of Scientific Computing at the University of Mannheim, where she is currently also the Director of the Institute of Mathematics. She received her PhD in Applied Mathematics at the Technical University of Kaiserslautern in 2007, followed by the habilitation in 2011. Her research focuses on the mathematical modeling, numerical simulation and optimization of dynamic processes with applications in manufacturing systems, traffic flow, pedestrian dynamics and energy networks.
