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
柯鸿堂, 刘小禾, 郭明旻, 吴正
Ko Hung-Tang (柯鸿堂), Liu Xiao-He (刘小禾), Guo Ming-Min (郭明旻), Wu Zheng (吴正)
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.
中图分类号: (Transportation)