中国物理B ›› 2016, Vol. 25 ›› Issue (4): 48901-048901.doi: 10.1088/1674-1056/25/4/048901

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

A new traffic model on compulsive lane-changing caused by off-ramp

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

  1. 1 Department of Aeronautics and Astronautics, Fudan University, Shanghai 200433, China;
    2 School of Engineering, Brown University, Providence, RI 02903, USA;
    3 Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
  • 收稿日期:2015-10-07 修回日期:2015-12-13 出版日期:2016-04-05 发布日期:2016-04-05
  • 通讯作者: Ming-Min Guo E-mail:mmguo@fudan.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11002035 and 11372147).

A new traffic model on compulsive lane-changing caused by off-ramp

Xiao-He Liu(刘小禾)2, Hung-Tang Ko(柯鸿堂)3, Ming-Min Guo(郭明旻)1, Zheng Wu(吴正)1   

  1. 1 Department of Aeronautics and Astronautics, Fudan University, Shanghai 200433, China;
    2 School of Engineering, Brown University, Providence, RI 02903, USA;
    3 Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
  • Received:2015-10-07 Revised:2015-12-13 Online:2016-04-05 Published:2016-04-05
  • Contact: Ming-Min Guo E-mail:mmguo@fudan.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11002035 and 11372147).

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摘要： In the field of traffic flow studies, compulsive lane-changing refers to lane-changing (LC) behaviors due to traffic rules or bad road conditions, while free LC happens when drivers change lanes to drive on a faster or less crowded lane. LC studies based on differential equation models accurately reveal LC influence on traffic environment. This paper presents a second-order partial differential equation (PDE) model that simulates both compulsive LC behavior and free LC behavior, with lane-changing source terms in the continuity equation and a lane-changing viscosity term in the momentum equation. A specific form of this model focusing on a typical compulsive LC behavior, the ‘off-ramp problem’, is derived. Numerical simulations are given in several cases, which are consistent with real traffic phenomenon.

关键词: traffic flow model, compulsive lane-changing, off-ramp, fluid dynamics, numerical simulation

Abstract: In the field of traffic flow studies, compulsive lane-changing refers to lane-changing (LC) behaviors due to traffic rules or bad road conditions, while free LC happens when drivers change lanes to drive on a faster or less crowded lane. LC studies based on differential equation models accurately reveal LC influence on traffic environment. This paper presents a second-order partial differential equation (PDE) model that simulates both compulsive LC behavior and free LC behavior, with lane-changing source terms in the continuity equation and a lane-changing viscosity term in the momentum equation. A specific form of this model focusing on a typical compulsive LC behavior, the ‘off-ramp problem’, is derived. Numerical simulations are given in several cases, which are consistent with real traffic phenomenon.

Key words: traffic flow model, compulsive lane-changing, off-ramp, 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)