A lattice hydrodynamical model considering turning capability

doi:10.1088/1674-1056/21/7/070505

中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70505-070505.doi: 10.1088/1674-1056/21/7/070505

A lattice hydrodynamical model considering turning capability

田欢欢^{a b}, 薛郁^{a c}

a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
b College of Physics Science and Engineering, Yulin Normal University, Yulin 537000, China;
c Institute of Physics Science and Engineering, Guangxi University, Nanning 530004, China

收稿日期:2011-11-20 修回日期:2012-02-13 出版日期:2012-06-01 发布日期:2012-06-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10865001, 11047003, 11172164, and 11162019) and the Youth Foundation of the Yulin Normal University of China (Grant No. 2011YJQN01).

A lattice hydrodynamical model considering turning capability

Tian Huan-Huan(田欢欢)^a)b) and Xue Yu(薛郁)^a)c)†

a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
b College of Physics Science and Engineering, Yulin Normal University, Yulin 537000, China;
c Institute of Physics Science and Engineering, Guangxi University, Nanning 530004, China

Received:2011-11-20 Revised:2012-02-13 Online:2012-06-01 Published:2012-06-01
Contact: Xue Yu E-mail:yuxuegxu@gxu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10865001, 11047003, 11172164, and 11162019) and the Youth Foundation of the Yulin Normal University of China (Grant No. 2011YJQN01).

摘要/Abstract

摘要： A new two-dimensional lattice hydrodynamic model considering the turning capability of cars is proposed. Based on this model, the stability condition for this new model is obtained by using linear stability analysis. Near the critical point, the modified KdV equation is deduced by using the nonlinear theory. The results of numerical simulation indicate that the critical point a_c increases with the increase of the fraction p of northbound cars which continue to move along the positive y direction for c=0.3, but decreases with the increase of p for c=0.7. The results also indicate that the cars moving along only one direction (eastbound or northbound) are most stable.

关键词: modified KdV equation, traffic flow, lattice hydrodynamic model

Abstract: A new two-dimensional lattice hydrodynamic model considering the turning capability of cars is proposed. Based on this model, the stability condition for this new model is obtained by using linear stability analysis. Near the critical point, the modified KdV equation is deduced by using the nonlinear theory. The results of numerical simulation indicate that the critical point a_c increases with the increase of the fraction p of northbound cars which continue to move along the positive y direction for c=0.3, but decreases with the increase of p for c=0.7. The results also indicate that the cars moving along only one direction (eastbound or northbound) are most stable.

Key words: modified KdV equation, traffic flow, lattice hydrodynamic model

中图分类号: (Lattice theory and statistics)

05.50.+q

02.60.Cb (Numerical simulation; solution of equations) 84.40.Xb (Telemetry: remote control, remote sensing; radar)

田欢欢, 薛郁. A lattice hydrodynamical model considering turning capability[J]. 中国物理B, 2012, 21(7): 70505-070505.

Tian Huan-Huan(田欢欢) and Xue Yu(薛郁) . A lattice hydrodynamical model considering turning capability[J]. Chin. Phys. B, 2012, 21(7): 70505-070505.

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A lattice hydrodynamical model considering turning capability

A lattice hydrodynamical model considering turning capability

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