Effects of speed deviation and density difference in traffic lattice hydrodynamic model with interruption

2018 ◽  
Vol 506 ◽  
pp. 900-908 ◽  
Author(s):  
Changtao Jiang ◽  
Rongjun Cheng ◽  
Hongxia Ge
Keyword(s):  
Hydrodynamic Model ◽  
Density Difference ◽  
Lattice Hydrodynamic Model

Lattice hydrodynamic model for bidirectional pedestrian flow with the consideration of pedestrian density difference

2015 ◽  
Vol 26 (08) ◽  
pp. 1550092 ◽  
Author(s):  
Jie Zhou ◽  
Zhong-Ke Shi
Keyword(s):  
Stability Analysis ◽  
Hydrodynamic Model ◽  
Density Difference ◽  
Subway Station ◽  
Lattice Hydrodynamic Model ◽  
Analysis Method ◽  
Pedestrian Flow ◽  
Reaction Coefficient ◽  
De Vries ◽  
The Stability

Considering the effect of density difference, an extended lattice hydrodynamic model for bidirectional pedestrian flow is proposed in this paper. The stability condition is obtained by the use of linear stability analysis. It is shown that the stability of pedestrian flow varies with the reaction coefficient of density difference. Based on nonlinear analysis method, the Burgers, Korteweg–de Vries (KdV) and modified Korteweg–de Vries (MKdV) equations are derived to describe the triangular shock waves, soliton waves and kink–antikink waves in the stable, metastable and unstable regions, respectively. The results show that jams may be alleviated by considering the effect of density difference. The findings also indicate that in the process of building and subway station design, a series of auxiliary facilities should be considered in order to alleviate the possible pedestrian jams.

Phase transitions in the two-lane density difference lattice hydrodynamic model of traffic flow

2014 ◽  
Vol 77 (3) ◽  
pp. 635-642 ◽  
Author(s):  
Tao Wang ◽  
Ziyou Gao ◽  
Wenyi Zhang ◽  
Jing Zhang ◽  
Shubin Li
Keyword(s):  
Phase Transitions ◽  
Traffic Flow ◽  
Hydrodynamic Model ◽  
Density Difference ◽  
Lattice Hydrodynamic Model

Multiple density difference effect in the two-lane lattice hydrodynamic model

2014 ◽  
Vol 79 (3) ◽  
pp. 1991-2003 ◽  
Author(s):  
Yan-Hong Wang ◽  
Zi-You Gao ◽  
Xiao-Mei Zhao ◽  
Dong-Fan Xie
Keyword(s):  
Hydrodynamic Model ◽  
Density Difference ◽  
Lattice Hydrodynamic Model ◽  
Difference Effect

Analysis of a novel two-lane lattice model with consideration of density integral and relative flow information

2020 ◽  
Vol 37 (8) ◽  
pp. 2939-2955 ◽  
Author(s):  
Xinyue Qi ◽  
Rongjun Cheng ◽  
Hongxia Ge
Keyword(s):  
Traffic Flow ◽  
Linear Stability ◽  
Hydrodynamic Model ◽  
Mkdv Equation ◽  
Density Difference ◽  
Linear Stability Theory ◽  
Lattice Hydrodynamic Model ◽  
Content Type ◽  
Flow Information ◽  
Relative Flow

Purpose This study aims to consider the influence of density difference integral and relative flow difference on traffic flow, a novel two-lane lattice hydrodynamic model is proposed. The stability criterion for the new model is obtained through the linear analysis method. Design/methodology/approach The modified Korteweg de Vries (KdV) (mKdV) equation is derived to describe the characteristic of traffic jams near the critical point. Numerical simulations are carried out to explore how density difference integral and relative flow difference influence traffic stability. Numerical and analytical results demonstrate that traffic congestions can be effectively relieved considering density difference integral and relative flow difference. Findings The traffic congestions can be effectively relieved considering density difference integral and relative flow difference. Originality/value Novel two-lane lattice hydrodynamic model is presented considering density difference integral and relative flow difference. Applying the linear stability theory, the new model’s linear stability is obtained. Through nonlinear analysis, the mKdV equation is derived. Numerical results demonstrate that the traffic flow stability can be efficiently improved by the effect of density difference integral and relative flow difference.

PHASE TRANSITIONS AND THE KORTEWEG-DE VRIES EQUATION IN THE DENSITY DIFFERENCE LATTICE HYDRODYNAMIC MODEL OF TRAFFIC FLOW

2013 ◽  
Vol 24 (03) ◽  
pp. 1350016 ◽  
Author(s):  
JUN-FANG TIAN ◽  
ZHEN-ZHOU YUAN ◽  
BIN JIA ◽  
HONG-QIANG FAN
Keyword(s):  
Phase Transitions ◽  
Hydrodynamic Model ◽  
Kdv Equation ◽  
Density Difference ◽  
Open Boundary ◽  
Neutral Stability ◽  
Lattice Hydrodynamic Model ◽  
Traffic Patterns ◽  
Congested Traffic ◽  
De Vries

We investigate the phase transitions and the Korteweg-de Vries (KdV) equation in the density difference lattice hydrodynamic (DDLM) model, which shows a close connection with the gas-kinetic-based model and the microscopic car following model. The KdV equation near the neutral stability line is derived and the corresponding soliton solution describing the density waves is obtained. Numerical simulations are conducted in two aspects. On the one hand, under periodic conditions perturbations are applied to demonstrate the nonlinear analysis result. On the other hand, the open boundary condition with random fluctuations is designed to explore the empirical congested traffic patterns. The phase transitions among the free traffic (FT), widening synchronized flow pattern (WSP), moving localized cluster (MLC), oscillatory congested traffic (OCT) and homogeneous congested traffic (HCT) occur by varying the amplitude of the fluctuations. To our knowledge, it is the first research showing that the lattice hydrodynamic model could reproduce so many congested traffic patterns.

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