Lattice hydrodynamic model for traffic flow on curved road

Considering topography conditions, economic factors and driving safety, in real traffic, a road may be built as curved road. Traffic flow on curved road is different from the one on straight road. And it is worth to investigate the influencing mechanism of traffic flow on curved road. In order to in...

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Bibliographic Details
Published in:Nonlinear dynamics 2016-02, Vol.83 (3), p.1217-1236
Main Authors: Zhou, Jie, Shi, Zhong-Ke
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Coefficient of friction
Computer simulation
Control
Curvature
Curved
Dynamical Systems
Economic factors
Economic models
Engineering
Flow stability
Friction
Mathematical analysis
Mathematical models
Mechanical Engineering
Original Paper
Roads
Stability analysis
Traffic flow
Traffic models
Traffic safety
Vehicle safety
Vibration
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Summary:Considering topography conditions, economic factors and driving safety, in real traffic, a road may be built as curved road. Traffic flow on curved road is different from the one on straight road. And it is worth to investigate the influencing mechanism of traffic flow on curved road. In order to investigate traffic flow on curved road analytically, in this paper, an extended one-dimensional lattice hydrodynamic model for traffic flow on curved road is proposed. The stability condition is obtained by the use of linear stability analysis. It is shown that the stability of traffic flow varies with the radian, friction coefficient and curvature radius of curved road. The Burgers, Korteweg–de Vries and modified Korteweg–de Vries equations are derived to describe the nonlinear density waves in the stable, metastable and unstable regions, respectively. The simulations are given to verify the analytical results. The results, which obtained from the theoretical analysis and numerical simulations, show that traffic flow may be affected by the angle going into curved road, the increment of angle, friction coefficient and curvature radius of curved road. And the maximal theoretical flux and velocity of traffic flow are influenced by the above factors as well.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-2398-1