中国物理B ›› 2015, Vol. 24 ›› Issue (9): 98901-098901.doi: 10.1088/1674-1056/24/9/098901

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

A new traffic model with a lane-changing viscosity term

柯鸿堂, 刘小禾, 郭明旻, 吴正   

  1. Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China
  • 收稿日期:2015-02-27 修回日期:2015-03-25 出版日期:2015-09-05 发布日期:2015-09-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11002035 and 11372147) and Hui-Chun Chin and Tsung-Dao Lee Chinese Undergraduate Research Endowment (Grant No. CURE 14024).

A new traffic model with a lane-changing viscosity term

Ko Hung-Tang (柯鸿堂), Liu Xiao-He (刘小禾), Guo Ming-Min (郭明旻), Wu Zheng (吴正)   

  1. Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China
  • Received:2015-02-27 Revised:2015-03-25 Online:2015-09-05 Published:2015-09-05
  • Contact: Guo Ming-Min E-mail:mmguo@fudan.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11002035 and 11372147) and Hui-Chun Chin and Tsung-Dao Lee Chinese Undergraduate Research Endowment (Grant No. CURE 14024).

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摘要： 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.

关键词: traffic flow model, lane-changing, viscosity, fluid dynamics, numerical simulation

Abstract: 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.

Key words: traffic flow model, lane-changing, viscosity, fluid dynamics, numerical simulation

中图分类号:  (Transportation)

  • 89.40.-a
02.60.-x (Numerical approximation and analysis) 47.11.-j (Computational methods in fluid dynamics) 45.70.Vn (Granular models of complex systems; traffic flow)