Cellular automaton simulation of unidirectional pedestrians flow in a corridor to reproduce the unique velocity profile of Hagen-Poiseuille flow

In this study, we conduct simulations and compare results with experimental ones from previous work. It was reported that the velocity profile of pedestrians in a corridor had similar characteristics to that of an incompressible and Newtonian fluid in laminar flow, which is called Hagen-Poiseuille flow. To reproduce this pedestrian dynamics phenomenon, we hypothesized that the velocity profile is formed because of the intentions of pedestrians. We used the improved cellular automaton model integrating the multi-grid method and static floor field method to consider various rules regarding the characteristics of pedestrians, space, and algorithms. Simulation results show excellent agreement with results from previous study.