Fluid-Based Analysis of Pedestrian Crowd at Bottlenecks

2013/09/11 by Wang, Peng, Luh, Peter
#Adaptation and Self-Organizing Systems (nlin.AO) #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Physics and Society (physics.soc-ph)

paper · doi:10.48550/arxiv.1309.2785

Abstract

In emergency egress crowd behavior critically affects egress efficiency and public safety. By integrating psychological principles to Newtonian motion of crowd, a fluid-based equation is derived in this paper to explore how energy in different forms is balanced when pedestrian crowd pass through a bottleneck. Such fluid-based analysis helps to bridge a gap among psychological findings, pedestrian models and simulation results, and it further provides a new perspective to understand how the faster-is-slower effect is caused and how disastrous events (e.g., jamming and stampede) occur at a bottleneck passage.

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