A modified lattice hydrodynamic model is proposed by considering the driver’s sensory memory and the average optimal velocity effect field. The stability conditions of the novel model are further analyzed theoretically through the linear analysis. The nonlinear modified Korteweg–de Vries (mKdV) equation near the critical point is obtained, which can describe the jamming transition of traffic flow properly. Numerical simulations for the novel model are carried out and the results validate that the traffic jam can be suppressed efficiently by considering the average optimal velocity effect field and driver’s sensory memory. Besides, the energy consumption simulation is devised to investigate the stability of the traffic system. Eventually, PMES data is adopted to calibrate and evaluate the parameters of the proposed model, which proves that it precisely reflects the evolution of traffic flow. All the simulation results verify the feasibility and validity of this model.

中文翻译：

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考虑平均最优速度效应场和驾驶员感觉记忆的扩展晶格流体动力学模型

考虑驾驶员的感觉记忆和平均最优速度效应场，提出了一种改进的格子流体动力学模型。通过线性分析进一步从理论上分析了新模型的稳定性条件。得到了临界点附近的非线性修正 Korteweg-de Vries (mKdV) 方程，可以恰当地描述交通流的干扰转变。对新模型进行了数值模拟，结果验证了通过考虑平均最优速度效应场和驾驶员的感官记忆，可以有效地抑制交通拥堵。此外，还设计了能耗模拟来研究交通系统的稳定性。最终，采用 PMES 数据对所提模型的参数进行校准和评估，这证明它准确地反映了交通流的演变。所有的仿真结果验证了该模型的可行性和有效性。