Please wait a minute...
Chin. Phys. B, 2015, Vol. 24(9): 098901    DOI: 10.1088/1674-1056/24/9/098901
INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY Prev   Next  

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:  mmguo@fudan.edu.cn

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

[1] Lighthill M J and Whitham G B 1955 Proc. Royal Soc. A 22 317
[2] Richards P I 1956 Oper. Res. 4 42
[3] Payne H J 1971 Math. Models of Public Systems 1 51
[4] Payne H J 1979 Transp. Res. Rec. 722 68
[5] Kühne R D 1984 Proceedings of the 9th International Symposium on Transportation and Traffic Theory, Delft, Netherlands, p.21
[6] Zhang H M 2002 Transp. Res. Part B 36 275
[7] Zheng Z 2014 Transp. Res. Part B 60 16
[8] Moridpour S, Sarvi M and Rose G 2010 Transp. Lett. 2 157
[9] Toledo T 2007 Transp. Rev. 27 65
[10] Zhu H and Wu Z 2008 Chin. J. Hydro. 23 301 (in Chinese)
[11] Zhu H, Wu Z and Lin Z X 2009 Chin. J. Theor. Appl. Mech. 41 41 (in Chinese)
[12] Laval J A and Daganzo C F 2006 Transp. Res. Part B 40 251
[13] Jin W L 2010 Transp. Res. Part B 44 1001
[14] Peng G H, Sun D H and He H 2009 Chin. Phys. B 18 468
[15] Zheng X Q, Wu Z, Xu S X, Guo M M, Lin Z X and Zhang Y Y 2011 Acta Mech. Sin. 27 346
[16] Wu S C, Zheng X Q, Guo M M and Wu Z 2011 Sci. Sin. Phys. Mech. Astron. 41 791 (in Chinese)
[17] Kerner B S and Konhäuser P 1993 Phys. Rev. E 48 R2335
[1] Effect of pressure and space between electrodes on the deposition of SiNxHy films in a capacitively coupled plasma reactor
Meryem Grari, CifAllah Zoheir, Yasser Yousfi, and Abdelhak Benbrik. Chin. Phys. B, 2021, 30(5): 055205.
[2] A simplified approximate analytical model for Rayleigh-Taylor instability in elastic-plastic solid and viscous fluid with thicknesses
Xi Wang(王曦), Xiao-Mian Hu(胡晓棉), Sheng-Tao Wang(王升涛), and Hao Pan(潘昊). Chin. Phys. B, 2021, 30(4): 044702.
[3] Numerical simulation of super-continuum laser propagation in turbulent atmosphere
Ya-Qian Li(李雅倩), Wen-Yue Zhu (朱文越), and Xian-Mei Qian(钱仙妹). Chin. Phys. B, 2021, 30(3): 034201.
[4] Synchronization mechanism of clapping rhythms in mutual interacting individuals
Shi-Lan Su(苏世兰), Jing-Hua Xiao(肖井华), Wei-Qing Liu(刘维清), and Ye Wu(吴晔). Chin. Phys. B, 2021, 30(1): 010505.
[5] Optical properties of several ternary nanostructures
Xiao-Long Tang(唐小龙), Xin-Lu Cheng(程新路), Hua-Liang Cao(曹华亮), and Hua-Dong Zeng(曾华东). Chin. Phys. B, 2021, 30(1): 017803.
[6] Numerical simulation on ionic wind in circular channels
Gui-Wen Zhang(张桂文), Jue-Kuan Yang(杨决宽), and Xiao-Hui Lin(林晓辉). Chin. Phys. B, 2021, 30(1): 014701.
[7] Numerical research on effect of overlap ratio on thermal-stress behaviors of the high-speed laser cladding coating
Xiaoxi Qiao(乔小溪), Tongling Xia(夏同领), and Ping Chen(陈平). Chin. Phys. B, 2021, 30(1): 018104.
[8] A new car-following model with driver's anticipation effect of traffic interruption probability
Guang-Han Peng(彭光含). Chin. Phys. B, 2020, 29(8): 084501.
[9] Droplets breakup via a splitting microchannel
Wei Gao(高崴), Cheng Yu(于程), Feng Yao(姚峰). Chin. Phys. B, 2020, 29(5): 054702.
[10] Electron beam irradiation on novel coronavirus (COVID-19): A Monte-Carlo simulation
Guobao Feng(封国宝), Lu Liu(刘璐), Wanzhao Cui(崔万照), Fang Wang(王芳). Chin. Phys. B, 2020, 29(4): 048703.
[11] Interface coupling effects of weakly nonlinear Rayleigh-Taylor instability with double interfaces
Zhiyuan Li(李志远), Lifeng Wang(王立锋), Junfeng Wu(吴俊峰), Wenhua Ye(叶文华). Chin. Phys. B, 2020, 29(3): 034704.
[12] The second Hopf bifurcation in lid-driven square cavity
Tao Wang(王涛), Tiegang Liu(刘铁钢), Zheng Wang(王正). Chin. Phys. B, 2020, 29(3): 030503.
[13] Multi-bubble motion behavior of uniform magnetic field based on phase field model
Chang-Sheng Zhu(朱昶胜), Zhen Hu(胡震), Kai-Ming Wang(王凯明). Chin. Phys. B, 2020, 29(3): 034702.
[14] A new cellular automaton model accounting for stochasticity in traffic flow induced by heterogeneity in driving behavior
Xiaoyong Ni(倪晓勇), Hong Huang(黄弘). Chin. Phys. B, 2019, 28(9): 098901.
[15] Direct numerical simulation on relevance of fluctuating velocities and drag reduction in turbulent channel flow with spanwise space-dependent electromagnetic force
Dai-Wen Jiang(江代文), Hui Zhang(张辉), Bao-Chun Fan(范宝春), An-Hua Wang(王安华). Chin. Phys. B, 2019, 28(5): 054701.
No Suggested Reading articles found!