  We provide a numerical realisation of an optimal control problem for
pedestrian motion with agents that was analysed in Herzog, Pietschmann,
Winkler: "Optimal Control of Hughes' Model for Pedestrian Flow via Local
Attraction.", arXiv 2011.03580, 2020. The model consists of a regularized
variant of Hughes' model for pedestrian dynamics coupled to ordinary
differential equations that describe the motion of agents which are able to
influence the crowd via attractive forces. We devise a finite volume scheme
that preserves the box constraints that are inherent in the model and discuss
some of its properties. We apply our scheme to an objective functional tailored
to the case of an evacuation scenario. Finally, numerical simulations for
several practically relevant geometries are performed.
