Numerical Simulation of Pedestrian Flow Based on A Higher-Order Macroscopic Model

Abstract

-In this paper, a higher-order macroscopic model is applied to simulate non-equilibrium pedestrian flow. The path choice behavior is described by a time dependent Hamilton Jacobi equation based on the assumption that pedestrian flow always tends to walk along a path with lowest actual walking cost. A self-adaptive method of successive averages coupled with a cell-centered finite volume method is used to solve the macroscopic model. A numerical example is designed to investigate macroscopic features and route choice behavior of pedestrian flow walking in a channel scattered with an obstruction. Keywords-higher-order model, non-equilibrium pedestrian flow; path choice behaviour; method of successive averages; macroscopic features