Particle methods for multi-group pedestrian flow
For researchers in pedestrian dynamics, this provides a unified hierarchical modeling framework, but the results are incremental as it combines existing methods.
The paper develops a multi-group microscopic pedestrian flow model using interacting particles and an eikonal equation, deriving hydrodynamic and scalar models. Numerical tests compare evacuation times across parameters, showing the particle method's effectiveness.
We consider a multi-group microscopic model for pedestrian flow describing the behaviour of large groups. It is based on an interacting particle system coupled to an eikonal equation. Hydrodynamic multi-group models are derived from the underlying particle system as well as scalar multi-group models. The eikonal equation is used to compute optimal paths for the pedestrians. Particle methods are used to solve the equations on all levels of the hierarchy. Numerical test cases are investigated and the models and, in particular, the resulting evacuation times are compared for a wide range of different parameters.