Lattice hydrodynamic model for traffic flow on curved road with passing

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.

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