Lattice hydrodynamic model with bidirectional pedestrian flow

Huan-huan Tian, Hong-di He, Yan-fang Wei, Xue Yu and Wei-zhen Lu

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 14, 2895-2902

Abstract: The two-dimensional lattice hydrodynamic model of traffic is extended to the two-dimensional bidirectional pedestrian flow via taking four types of pedestrians into account. The stability condition and the mKdV equation to describe the density wave of pedestrian congestion are obtained by linear stability and nonlinear analysis, respectively. In addition, there exist three phase transitions among the freely moving phase, the coexisting phase and the uniformly congested phase in the phase diagram. It can also be found that the critical point ac refers to not only the fraction c1 of the eastbound and westbound pedestrians, but also the fraction c2 of the northbound and southbound pedestrians. However, the critical point ac could not appear in the phase diagram and congested crowd at any time when two fractions are equal to same value of 0.5 (c1=c2=0.5). Furthermore, numerical simulation is carried out to examine the performance of such a model and the results show coincidence with the theory analysis results.

Keywords: mKdV equation; Pedestrian flow; Lattice hydrodynamic model (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations: View citations in EconPapers (21)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:14:p:2895-2902

DOI: 10.1016/j.physa.2009.02.047

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