A Lattice Hydrodynamic Model for Four-Way Pedestrian Traffic with Turning Capacity

Yuan Tang, Yu Xue (), Muyang Huang, Qiyun Wen, Bingling Cen and Dong Chen
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Yuan Tang: Institute of Physical Science and Technology, Guangxi University, Nanning 530004, China
Yu Xue: Institute of Physical Science and Technology, Guangxi University, Nanning 530004, China
Muyang Huang: Institute of Physical Science and Technology, Guangxi University, Nanning 530004, China
Qiyun Wen: Institute of Physical Science and Technology, Guangxi University, Nanning 530004, China
Bingling Cen: Institute of Physical Science and Technology, Guangxi University, Nanning 530004, China
Dong Chen: College of Management Science and Engineering, Guangxi University of Finance and Economics, Nanning 530004, China

Sustainability, 2023, vol. 15, issue 3, 1-17

Abstract: In this paper, a lattice hydrodynamic model of four-way pedestrian traffic considering turning capacity is proposed. The stability conditions are obtained by stability analysis. The mKdV equation is derived using the reductive perturbation method of nonlinear analysis, and the corresponding density wave solutions are obtained. The results of theoretical analysis are verified by detailed numerical simulation of the spatial-temporal patterns of the density of pedestrian flow evolution under different initial conditions and the density profile at different moments. The results show that the balanced distribution of pedestrian flow along the horizontal and vertical passages can promote the stability of pedestrian traffic, and pedestrians turning at the intersections can stimulate traffic jams.

Keywords: turning capacity; four-way traffic; pedestrian traffic; mKdV equation; stability analysis (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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