A new lattice hydrodynamic traffic flow model with a consideration of multi-anticipation effect

We present a new multi-anticipation lattice hydrodynamic model based on the traffic anticipation effect in the real world. Applying the linear stability theory, we obtain the linear stability condition of the model. Through nonlinear analysis, we derive the modified Korteweg-de Vries equation to des...

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Bibliographic Details
Published in:Chinese physics B 2011-08, Vol.20 (8), p.515-520
Main Authors: Tian, Chuan, Sun, Di-Hua, Yang, Shu-Hong
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Density
Fluid flow
Lattices
Mathematical analysis
Mathematical models
Stability
Traffic flow
交通流模型
格子
水动力学模型
流体力学
现实世界
稳定性条件
线性稳定性理论
非线性分析
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Summary:We present a new multi-anticipation lattice hydrodynamic model based on the traffic anticipation effect in the real world. Applying the linear stability theory, we obtain the linear stability condition of the model. Through nonlinear analysis, we derive the modified Korteweg-de Vries equation to describe the propagating behaviour of a traffic density wave near the critical point. The good agreement between the simulation results and the analytical results shows that the stability of traffic flow can be enhanced when the multi~anticipation effect is considered.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/20/8/088902