A new traffic model with a lane-changing viscosity term

In this paper, a new continuum traffic flow model is proposed, with a lane-changing source term in the continuity equation and a lane-changing viscosity term in the acceleration equation. Based on previous literature, the source term addresses the impact of speed difference and density difference be...

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Bibliographic Details
Published in:Chinese physics B 2015-09, Vol.24 (9), p.588-594
Main Author: 柯鸿堂 刘小禾 郭明旻 吴正
Format: Article
Language:English
Subjects:
Acceleration
Computer simulation
Density
Discretization
Mathematical analysis
Mathematical models
Traffic flow
Viscosity
交通流模型
初始扰动
粘度模型
车道
连续性方程
通量分裂
速度分布
速度方程
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Summary:In this paper, a new continuum traffic flow model is proposed, with a lane-changing source term in the continuity equation and a lane-changing viscosity term in the acceleration equation. Based on previous literature, the source term addresses the impact of speed difference and density difference between adjacent lanes, which provides better precision for free lane-changing simulation; the viscosity term turns lane-changing behavior to a ＂force＂ that may influence speed distribution. Using a flux-splitting scheme for the model discretization, two cases are investigated numerically. The case under a homogeneous initial condition shows that the numerical results by our model agree well with the analytical ones; the case with a small initial disturbance shows that our model can simulate the evolution of perturbation, including propagation,dissipation, cluster effect and stop-and-go phenomenon.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/24/9/098901