Open AccessLattice hydrodynamic model for pedestrian traffic with the next-nearest-neighbor pedestrian
Author(s) -
Jia Wen,
Hao Tian,
Yu Xue
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.3817
Subject(s) - pedestrian , lattice (music) , statistical physics , k nearest neighbors algorithm , nonlinear system , computer science , consistency (knowledge bases) , stability (learning theory) , physics , transport engineering , artificial intelligence , engineering , quantum mechanics , machine learning , acoustics
Based on the lattice hydrodynamic model with bidirectional pedestrian flow, the lattice hydrodynamic model which considered the interaction of the next-nearest-neighbor pedestrians was proposed in this paper. By the linear stability analysis, the stability condition was obtained. By nonlinear analysis, the modified Korteweg-de Vries equation to describe the density wave of pedestrian congestion was given. Furthermore, numerical simulation was carried out to examine the performance of such a model and it shows consistency with the theoretical analysis results.