Continuum modeling for two-lane traffic flow

被引:0
作者
Haijun Huang
Tieqiao Tang
Ziyou Gao
机构
[1] Beijing University of Aeronautics & Astronautics,School of Management
[2] Beijing Jiaotong University,School of Traffic and Transportation
来源
Acta Mechanica Sinica | 2006年 / 22卷
关键词
Traffic dynamics; Two-lane traffic flow; Car-following theory; Momentum equation;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we study the continuum modeling of traffic dynamics for two-lane freeways. A new dynamics model is proposed, which contains the speed gradient-based momentum equations derived from a car-following theory suited to two-lane traffic flow. The conditions for securing the linear stability of the new model are presented. Numerical tests are carried out and some nonequilibrium phenomena are observed, such as small disturbance instability, stop-and-go waves, local clusters and phase transition.
引用
收藏
页码:131 / 137
页数:6
相关论文
共 50 条
[31]   Empirical analysis of impact of multi-class commercial vehicles on multi-lane highway traffic characteristics under mixed traffic conditions [J].
Singh, Sandeep ;
Santhakumar, S. Moses .
INTERNATIONAL JOURNAL OF TRANSPORTATION SCIENCE AND TECHNOLOGY, 2022, 11 (03) :545-562
[32]   Continuum models for freeways with two lanes and numerical tests [J].
Tang, TQ ;
Huang, HJ .
CHINESE SCIENCE BULLETIN, 2004, 49 (19) :2097-2104
[33]   Continuum models for freeways with two lanes and numerical tests [J].
TANG Tieqiao HUANG Haijun School of ManagementBeijing University of Aeronautics and Astro nauticsBeijing China .
Chinese Science Bulletin, 2004, (19) :2097-2104
[34]   Traffic flow on percolation-backbone fractal [J].
Nagatani, Takashi .
CHAOS SOLITONS & FRACTALS, 2020, 135
[35]   Traffic flow on star graph: Nonlinear diffusion [J].
Nagatani, Takashi .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2021, 561
[36]   Research on critical characteristics of highway traffic flow based on three phase traffic theory [J].
Zeng, Jun-Wei ;
Qian, Yong-Sheng ;
Yu, Sen-Bin ;
Wei, Xu-Ting .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 530
[37]   Microscopic theory of traffic-flow instability governing traffic breakdown at highway bottlenecks: Growing wave of increase in speed in synchronized flow [J].
Kerner, Boris S. .
PHYSICAL REVIEW E, 2015, 92 (06)
[38]   Improving noise assessment at intersections by modeling traffic dynamics [J].
Chevallier, E. ;
Can, A. ;
Nadji, M. ;
Leclercq, L. .
TRANSPORTATION RESEARCH PART D-TRANSPORT AND ENVIRONMENT, 2009, 14 (02) :100-110
[39]   On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives [J].
Bellomo, Nicola ;
Dogbe, Christian .
SIAM REVIEW, 2011, 53 (03) :409-463
[40]   Traffic flow stabilized by matching speed on network with a bottleneck [J].
Nagatani, Takashi .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 538