Stability analysis of a new lattice hydrodynamic model by considering lattice's self-anticipative density effect
Stability analysis of a new lattice hydrodynamic model by considering lattice's self-anticipative density effect
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考虑晶格自预期密度效应的新型晶格流体动力学模型稳定性分析
DOI：
10.1016/j.physa.2017.05.050
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Chen Dong
中科院分区：
文献类型：
--
作者：
Zhang Geng;Sun Di Hua;Liu Hui;Chen Dong
本文提出了一种新的考虑了晶格电流密度与期望密度密度之差的晶格流体动力学模型。通过线性稳定性理论揭示了格点自预期密度对交通流稳定性的影响，表明格点自预期密度可以提高交通流的稳定性。为了描述交通流的相变，采用非线性分析方法，推导了临界点附近的mKdV方程。密度波在不稳定区的传播行为可用mKdV方程的扭结-反扭结孤子来描述。数值模拟结果验证了分析结果，表明在改进的格子流体动力学模型中考虑格子的自预期密度可以有效地抑制交通堵塞。
In this paper, a new lattice hydrodynamic model with consideration of the density difference of a lattice’s current density and its anticipative density is proposed. The influence of lattice’s self-anticipative density on traffic stability is revealed through linear stability theory and it shows that lattice’s self-anticipative density can improve the stability of traffic flow. To describe the phase transition of traffic flow, the mKdV equation near the critical point is derived by using nonlinear analysis method. The propagating behavior of density wave in the unstable region can be described by the kink–antikink soliton of the mKdV equation. Numerical simulation validates the analytical results, which shows that traffic jam can be suppressed efficiently by considering lattice’s self-anticipative density in the modified lattice hydrodynamic model.