The Korteweg-de Vires equation for the bidirectional pedestrian flow model considering the next-nearest-neighbor effect

2013 ◽  
Vol 22 (12) ◽  
pp. 120508 ◽  
Author(s):  
Li Xu ◽  
Siu-Ming Lo ◽  
Hong-Xia Ge
Keyword(s):  
Flow Model ◽  
Nearest Neighbor ◽  
Pedestrian Flow ◽  
Neighbor Effect

scholarly journals Mean Field Limit and Propagation of Chaos for a Pedestrian Flow Model

2016 ◽  
Vol 166 (2) ◽  
pp. 211-229 ◽  
Author(s):  
Li Chen ◽  
Simone Göttlich ◽  
Qitao Yin
Keyword(s):  
Flow Model ◽  
Mean Field ◽  
Propagation Of Chaos ◽  
Pedestrian Flow ◽  
Field Limit ◽  
Mean Field Limit

An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model

2008 ◽  
Vol 76 (3) ◽  
pp. 337-350 ◽  
Author(s):  
Yinhua Xia ◽  
S. C. Wong ◽  
Mengping Zhang ◽  
Chi-Wang Shu ◽  
William H. K. Lam
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Flow Model ◽  
Pedestrian Flow ◽  
Triangular Meshes

Macroscopic pedestrian flow model with degrading spatial information

2015 ◽  
Vol 10 ◽  
pp. 36-44 ◽  
Author(s):  
Yanqun Jiang ◽  
Shuguang Zhou ◽  
Fang-Bao Tian
Keyword(s):  
Flow Model ◽  
Spatial Information ◽  
Pedestrian Flow

scholarly journals 1015 Simulation of Pedestrian Flow by Particle Flow Model

2006 ◽  
Vol 2006.81 (0) ◽  
pp. _10-15_
Author(s):  
Ichiro UEDA ◽  
Yutaka TSUJI ◽  
Junyoung PARK ◽  
Toshihiro KAWAGUCHI
Keyword(s):  
Flow Model ◽  
Particle Flow ◽  
Pedestrian Flow

Dynamic continuum pedestrian flow model with memory effect

2009 ◽  
Vol 79 (6) ◽  
Author(s):  
Yinhua Xia ◽  
S. C. Wong ◽  
Chi-Wang Shu
Keyword(s):  
Memory Effect ◽  
Flow Model ◽  
Pedestrian Flow ◽  
With Memory

A bidirectional pedestrian flow model with the effect of friction parameter

2014 ◽  
Vol 25 (09) ◽  
pp. 1450042 ◽  
Author(s):  
Hong-Xia Ge ◽  
Siu-Ming Lo ◽  
Rong-Jun Cheng
Keyword(s):  
Flow Model ◽  
Mkdv Equation ◽  
Reductive Perturbation Method ◽  
Time Dependent ◽  
Pedestrian Flow ◽  
Friction Parameter ◽  
Reductive Perturbation ◽  
The Stability ◽  
Friction Parameters ◽  
Single Path

In this paper, a new lattice model for bidirectional pedestrian flow on single path which involves the effect of friction parameter is presented. Linear stability analysis is used to obtain the stability condition. The modified Korteweg–de Vries (mKdV) equation and time-dependent Ginzburg–Landan (TDGL) equation are deduced by means of the reductive perturbation method respectively. Further, the influence of the friction parameters upon pedestrian flow has been discussed. Our results also indicate that pedestrians moving along both directions uniformly are most stable.

Experiment and simulation of the bidirectional pedestrian flow model with overtaking and herding behavior

2015 ◽  
Vol 26 (11) ◽  
pp. 1550131 ◽  
Author(s):  
Jun Hu ◽  
Zhongwen Li ◽  
Hong Zhang ◽  
Juan Wei ◽  
Lei You ◽  
...  
Keyword(s):  
Numerical Analysis ◽  
Flow Model ◽  
Flow Characteristics ◽  
Target Position ◽  
The Self ◽  
Calculation Formula ◽  
Pedestrian Flow ◽  
Key Factors ◽  
Herding Behavior ◽  
Factors Influencing

In order to effectively depict the characteristics of bidirectional pedestrian flow, a novel pedestrian flow model is proposed based on cellular automata. At first, according to direction gain, velocity gain and herding gain, the calculation formula of target position is defined, and the walking rules by combining overtaking behavior and herding behavior are given in the model. Meanwhile, the actual channel is used for experiments, where the self-organizing effect formed by pedestrian flow is observed. The simulation platform is established to study the key factors influencing pedestrian flow characteristics. The numerical analysis results showed that when the pedestrian density in the channel reached to the critical degree, the overtaking behavior can easily produce jamming. Moreover, pedestrians' rational choice is good for relieving jamming.

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