Particle methods for multi-group pedestrian flow

TL;DR

This paper develops a multi-group microscopic model for pedestrian flow using particle methods and eikonal equations, enabling detailed simulations of large groups and their evacuation dynamics.

Contribution

It introduces a novel multi-group particle-based framework coupled with eikonal equations for optimal path computation in pedestrian flow modeling.

Findings

Models accurately simulate evacuation times across various parameters

Particle methods effectively solve multi-level hierarchical equations

Numerical tests validate the model's applicability to real-world scenarios

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.