Particle methods for multi-group pedestrian flow

2016/07/08 by Naveen Kumar Mahato, Mahato, Naveen K., Axel Klar +3
Engineering · Environmental Science · #Evacuation and Crowd Dynamics #FOS: Mathematics #FOS: Physical sciences #Landslides and related hazards #Numerical Analysis (math.NA) #Physics and Society (physics.soc-ph) #Traffic control and management

paper · pdf · doi:10.48550/arxiv.1607.02326

openalex publication_date 2016/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Fast Marching Methods
• Social force model for pedestrian dynamics

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