Please wait a minute...
 Chin. Phys. B, 2012, Vol. 21(1): 015201    DOI: 10.1088/1674-1056/21/1/015201
 PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES Prev   Next

Analysis of the wave properties of a new two-lane continuum model with the coupling effect

Sapna Sharmaa, Arvind Kumar Guptab
a Department of Mathematics, Birla Institute of Technology & Science Pilani, Rajasthan 333031, India; b Department of Mathematics, Indian Institute of Technology Ropar, Punjab 140001, India
Abstract  A multilane extension of the single-lane anisotropic continuum model (GK model) developed by Gupta and Katiyar for traffic flow is discussed with the consideration of the coupling effect between the vehicles of different lanes in the instantaneous traffic situation and the lane-changing effect. The conditions for securing the linear stability of the new model are presented. The shock and the rarefaction waves, the local cluster effect and the phase transition are investigated through simulation experiments with the new model and are found to be consistent with the diverse nonlinear dynamical phenomena observed in a real traffic flow. The analysis also focuses on empirically observed two-lane phenomena, such as lane usage inversion and the density dependence of the number of lane changes. It is shown that single-lane dynamics can be extended to multilane cases without changing the basic properties of the single-lane model. The results show that the new multilane model is capable of explaining some particular traffic phenomena and is in accordance with real traffic flow.
Keywords:  two-lane traffic      numerical simulation      lane usage inversion
Received:  22 June 2011      Revised:  02 August 2011      Accepted manuscript online:
 PACS: 52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))

Cite this article:

Arvind Kumar Gupta, Sapna Sharma Analysis of the wave properties of a new two-lane continuum model with the coupling effect 2012 Chin. Phys. B 21 015201

 [1] Lighthill M J and Whitham G B 1955 Proc. Roy. Soc. Lond. Ser. A 229 317 [2] Helbing D 1996 Phys. Rev. E 53 2366 [3] Payne H J 1971 Simulation Councils Proc. Ser. 1 51 [4] Kerner B S and Konh%#228;user P 1993 Phys. Rev. E 48 2335 [5] Zhang H M 1998 Trans. Res. B 32 485 [6] Berg P, Mason A and Woods A 2000 Phys. Rev. E 61 1056 [7] Richards P I 1956 Operations Research 4 42 [8] Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1995 Phys. Rev. E 51 1035 [9] Daganzo C F 1995 Trans. Res. B 29 277 [10] Zhang H M 2000 Trans. Res. B 34 583 [11] Aw A and Rascle M 2000 SIAM J. Appl. Math. 60 916 [12] Jiang R, Wu Q S and Zhu Z 2002 Trans. Res. B 36 405 [13] Zhang H M 2002 Trans. Res. B 36 275 [14] Jiang R and Wu Q S 2004 Acta Mech. Sin. 20 106 [15] Jiang R and Wu Q S 2003 Trans. Res. B 37 85 [16] Zhang H M 2003 Trans. Res. B 37 27 [17] Xue Y and Dai S 2003 Phys. Rev. E 68 066123 [18] Gupta A K and Katiyar V K 2005 J. Phys. A 38 4069 [19] Gupta A K and Katiyar V K 2006 Physica A 368 551 [20] Daganzo C F 1997 Trans. Res. B 31 83 [21] Wu Z 1994 Acta Mech. Sin. 26 149 [22] Tang T Q and Huang H J 2004 Chin. Sci. Bull. 49 2097 [23] Huang H J, Tang T Q and Gao Z Y 2006 Acta Mech. Sin. 22 131 [24] Tang T Q and Huang H J 2005 J. Beijing Univ. Aero. Astro. 31 1121 [25] Tang C F, Jiang R and Wu Q S 2007 Chin. Phys. 16 1570 [26] Han P G, Hua S D and Pan H H 2009 Chin. Phys. B 18 468 [27] Hua S D and Han P G 2009 Chin. Phys. B 18 3724 [28] Zhang H M 2003 Trans. Res. B 37 561 [29] Zhou X, Liu Z and Luo J 2002 J. Phys. A: Math. Gen. 35 4495 [30] Liu G Q, Lyrintzis A S and Michalopoulos P G 1996 Appl. Math. Model. 20 459 [31] Del Castillo J M and Benitez F G 1995 Trans. Res. B 29 373 [32] Herrmann M and Kerner B S 1998 Physica A 255 163
 [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] 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. [3] 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. [4] 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. [5] 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. [6] 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. [7] 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. [8] 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. [9] 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. [10] 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. [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] 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. [14] 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. [15] Numerical simulation on dynamic behaviors of bubbles flowing through bifurcate T-junction in microfluidic device Liang-Yu Wu(吴梁玉), Ling-Bo Liu(刘凌波), Xiao-Tian Han(韩笑天), Qian-Wen Li(李倩文), Wei-Bo Yang(杨卫波). Chin. Phys. B, 2019, 28(10): 104702.
 No Suggested Reading articles found!