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Chin. Phys. B, 2015, Vol. 24(9): 098901    DOI: 10.1088/1674-1056/24/9/098901

A new traffic model with a lane-changing viscosity term

Ko Hung-Tang, Liu Xiao-He, Guo Ming-Min, Wu Zheng
Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China
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.
Keywords:  traffic flow model      lane-changing      viscosity      fluid dynamics      numerical simulation  
Received:  27 February 2015      Revised:  25 March 2015      Accepted manuscript online: 
PACS:  89.40.-a (Transportation)  
  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)  
Fund: 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).
Corresponding Authors:  Guo Ming-Min     E-mail:

Cite this article: 

Ko Hung-Tang, Liu Xiao-He, Guo Ming-Min, Wu Zheng A new traffic model with a lane-changing viscosity term 2015 Chin. Phys. B 24 098901

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