斜坡道路考虑平均流量差预期效应的格子流体力学模型

Predicted effect of average flux difference in a lattice hydrodynamic model with gradients

为了研究斜坡道路上平均流量差预期效应对交通流的影响,提出了一种改进的格子流体动力学模型.采用控制理论方法得到了改进模型的线性稳定条件,并利用约化摄动法得到了稳定性临界点附近的mKdV方程,用以描述交通密度波的演变特征.通过数值模拟演示了考虑平均流量差预期效应的交通流的演变过程,并验证了理论分析的结果.模拟结果显示,在坡度公路上考虑平均流量差预期效应有利于缓解交通拥堵.

By studying the predicted effect of average flux difference,a new lattice hydrodynamic model was proposed for a gradient highway.The control theory was employed using linear analysis,and the stability condition for this new model was analyzed.To depict the evolution of traffic density waves in the traffic system,the mKdV equation near the critical point was derived by nonlinear analysis.Additionally,numerical simulation was performed to directly describe the evolution of traffic,which verified the results of the theoretical analysis.The results revealed that the predicted effect of average flux difference can stabilize the traffic flow.