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An extended two-lane lattice hydrodynamic model for traffic flow on curved road with passing

Author

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  • Wang, Ting
  • Cheng, Rongjun
  • Ge, Hongxia

Abstract

An extended two-lane lattice hydrodynamic model is proposed for the purpose of studying the effects of lane changing behavior and passing behavior on curved road. The main work of this paper is as follows. Firstly, the stability condition is acquired through the use of linear stability analysis and it reveals that passing effect as well as the angle of the curve road can affect the stability of traffic flow to some extent. Meanwhile, the stability of traffic flow varies greatly under different lane changing coefficients. The modified Korteweg–de Vries (mKdV) equation is deduced to describe the characteristic of traffic jams near the critical point. Furthermore, the numerical simulations are performed and the results coincide well with the theoretical analysis. In conclusion, the angle of curved road and lane changing behavior have a positive impact on traffic flow stability, while passing effect, on the contrary, will aggravate traffic congestion.

Suggested Citation

  • Wang, Ting & Cheng, Rongjun & Ge, Hongxia, 2019. "An extended two-lane lattice hydrodynamic model for traffic flow on curved road with passing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 533(C).
    • Handle: RePEc:eee:phsmap:v:533:y:2019:i:c:s0378437119311252
    DOI: 10.1016/j.physa.2019.121915
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    Citations

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    Cited by:

    1. Li, Lixiang & Cheng, Rongjun & Ge, Hongxia, 2021. "New feedback control for a novel two-dimensional lattice hydrodynamic model considering driver’s memory effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    2. Kang, Yi-rong & Tian, Chuan, 2024. "A new curved road lattice model integrating the multiple prediction effect under V2X environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
    3. Ren, Weilin & Cheng, Rongjun & Ge, Hongxia, 2021. "Bifurcation analysis for a novel heterogeneous continuum model considering electronic throttle angle changes with memory," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    4. Huimin Liu & Yuhong Wang, 2021. "Impact of Strong Wind and Optimal Estimation of Flux Difference Integral in a Lattice Hydrodynamic Model," Mathematics, MDPI, vol. 9(22), pages 1-13, November.
    5. Junyan Han & Xiaoyuan Wang & Gang Wang, 2022. "Modeling the Car-Following Behavior with Consideration of Driver, Vehicle, and Environment Factors: A Historical Review," Sustainability, MDPI, vol. 14(13), pages 1-27, July.

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