A MACROSCOPIC MODEL FOR PEDESTRIAN FLOW: COMPARISONS WITH EXPERIMENTAL RESULTS OF PEDESTRIAN FLOW IN CORRIDORS AND T-JUNCTIONS

摘要

We present a macroscopic model for the flow of pedestrians including an optimal route choice. The optimal path of pedestrians is determined by solving the nonlinear Eikonal equation with a density-dependent speed function to minimize travel times and avoid high density areas. We use a finite pointset method to solve the governing equations and the Eikonal equation as well. We numerically study the pedestrian flow in straight corridors and T-junctions and compare our results with experimental data.