Nonlinear analysis of a new lattice hydrodynamic model with the consideration of honk effect on flux for two-lane highway

2019 ◽  
Vol 515 ◽  
pp. 93-101 ◽  
Author(s):  
Guanghan Peng ◽  
Hua Kuang ◽  
Hongzhuan Zhao ◽  
Li Qing
Keyword(s):  
Nonlinear Analysis ◽  
Hydrodynamic Model ◽  
Lattice Hydrodynamic Model ◽  
Honk Effect

A new lattice hydrodynamic model for bidirectional pedestrian flow with consideration of pedestrians’ honk effect

2020 ◽  
Vol 31 (02) ◽  
pp. 2050031 ◽  
Author(s):  
Cong Zhai ◽  
Weitiao Wu
Keyword(s):  
Stability Analysis ◽  
Hydrodynamic Model ◽  
Mkdv Equation ◽  
Neutral Stability ◽  
Neutral Stability Curve ◽  
Lattice Hydrodynamic Model ◽  
Pedestrian Flow ◽  
Stability Curve ◽  
The Stability ◽  
Honk Effect

Understanding the pedestrian behavior contributes to traffic simulation and facility design/redesign. In practice, the interactions between individual pedestrians can lead to virtual honk effect, such as urging surrounding pedestrians to walk faster in a crowded environment. To better reflect the reality, this paper proposes a new lattice hydrodynamic model for bidirectional pedestrian flow with consideration of pedestrians’ honk effect. To this end, the concept of critical density is introduced to define the occurrence of pedestrians’ honk event. In the linear stability analysis, the stability condition of the new bidirectional pedestrian flow model is given based on the perturbation method, and the neutral stability curve is also obtained. Based on this, it is found that the honk effect has a significant impact on the stability of pedestrian flow. In the nonlinear stability analysis, the modified Korteweg–de Vries (mKdV) equation of the model is obtained based on the reductive perturbation method. By solving the mKdV equation, the kink-antikink soliton wave is obtained to describe the propagation mechanism and rules of pedestrian congestion near the neutral stability curve. The simulation example shows that the pedestrians’ honk effect can mitigate the pedestrians crowding efficiently and improve the stability of the bidirectional pedestrian flow.

A modified two-dimensional triangular lattice model under honk environment

2020 ◽  
Vol 31 (06) ◽  
pp. 2050089
Author(s):  
Cong Zhai ◽  
Weitiao Wu
Keyword(s):  
Stability Analysis ◽  
Hydrodynamic Model ◽  
High Dimensional ◽  
Two Dimensional ◽  
Lattice Hydrodynamic Model ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
The Stability ◽  
Honk Effect ◽  
Real Traffic

The honk effect is not uncommon in the real traffic and may exert great influence on the stability of traffic flow. As opposed to the linear description of the traditional one-dimensional lattice hydrodynamic model, the high-dimensional lattice hydrodynamic model is a gridded analysis of the real traffic environment, which is a generalized form of the one-dimensional lattice model. Meanwhile, the high-dimensional traffic flow exposed to the open-ended environment is more likely to be affected by the honk effect. In this paper, we propose an extension of two-dimensional triangular lattice hydrodynamic model under honk environment. The stability condition is obtained via the linear stability analysis, which shows that the stability region in the phase diagram can be effectively enlarged under the honk effect. Modified Korteweg–de Vries equations are derived through the nonlinear stability analysis method. The kink–antikink solitary wave solution is obtained by solving the equation, which can be used to describe the propagation characteristics of density waves near the critical point. Finally, the simulation example verifies the correctness of the above theoretical analysis.

Nonlinear analysis of a new two-lane lattice hydrodynamic model accounting for “backward looking” effect and relative flow information

2019 ◽  
Vol 33 (19) ◽  
pp. 1950223 ◽  
Author(s):  
Xinyue Qi ◽  
Rongjun Cheng ◽  
Hongxia Ge
Keyword(s):  
Nonlinear Analysis ◽  
Traffic Flow ◽  
Hydrodynamic Model ◽  
Linear Analysis ◽  
Mkdv Equation ◽  
Flow Stability ◽  
Lattice Hydrodynamic Model ◽  
Flow Information ◽  
Traffic Flow Stability ◽  
Relative Flow

In this paper, a new two-lane lattice hydrodynamic model is presented by accounting for the “backward looking” effect and the relative flow information. Linear analysis is applied to deduce the linear stability condition. With this method, we can demonstrate that “backward looking” and relative flow information have great positive significance in improving traffic flow stability. Nonlinear analysis is performed to derive the mKdV equation, which can represent transmission characteristic of density waves. The results achieved by the numerical simulation are consistent with theoretical analytical results. Numerical results indicate that both “backward looking” effect and relative flow information are helpful to heighten the traffic flow stability efficiently in two-lane traffic model.

Lattice hydrodynamic model for two-lane traffic flow on curved road

2016 ◽  
Vol 85 (3) ◽  
pp. 1423-1443 ◽  
Author(s):  
Jie Zhou ◽  
Zhong-Ke Shi ◽  
Chao-Ping Wang
Keyword(s):  
Traffic Flow ◽  
Hydrodynamic Model ◽  
Lattice Hydrodynamic Model ◽  
Curved Road

The flux difference memory integral effect on two-lane stability in the lattice hydrodynamic model

2018 ◽  
Vol 29 (09) ◽  
pp. 1850083 ◽  
Author(s):  
Guanghan Peng ◽  
Shuhong Yang ◽  
Hongzhuan Zhao ◽  
Li Qing
Keyword(s):  
Hydrodynamic Model ◽  
Historical Time ◽  
Lattice Hydrodynamic Model ◽  
Theoretic Analysis ◽  
Lane Changing ◽  
Reaction Coefficient ◽  
Integral Effect ◽  
The Stability ◽  
Flux Difference ◽  
Changing Rate

In this paper, the flux difference memory integral (FDMI) effect is introduced into the lattice hydrodynamic model for a two-lane freeway. The FDMI effect plays an important role on the linear stability condition, from theoretic analysis, in a two-lane system. The FDMI effect including the intensity reaction coefficient and the integral historical time are investigated on two lanes via simulation. From numerical simulation, both lane changing rate and FDMI effect strengthening the stability of traffic flow on two lanes is determined.

A novel lattice hydrodynamic model accounting for individual difference of honk effect for two-lane highway under V2X environment

2022 ◽  
Author(s):  
Xiaoqin Li ◽  
Guanghan Peng
Keyword(s):  
Stability Analysis ◽  
Individual Difference ◽  
Early Time ◽  
Mkdv Equation ◽  
Traffic Modeling ◽  
Lattice Hydrodynamic Model ◽  
Lane Changing ◽  
The Individual ◽  
The Impact ◽  
Honk Effect

In this work, the individual difference of the honk effect is explored on two lanes via traffic modeling of the lattice model under Vehicle to X (V2X) environment. We study the impact of individual difference corresponding to honk cases on traffic stability through linear stability analysis for a two-lane highway. Furthermore, the mKdV equation under the lane changing phenomena is conducted via nonlinear analysis. Simulation cases for the early time and longtime impact reveal that individual difference of driving characteristics has a distinct impact on two lanes under the whistling environment.

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