收稿日期: 2020-02-10
网络出版日期: 2020-07-07
基金资助
国家自然科学基金资助项目(71571107);宁波市自然科学基金资助项目(2019A610048)
Predicted effect of average flux difference in a lattice hydrodynamic model with gradients
Received date: 2020-02-10
Online published: 2020-07-07
魏麒, 常银银, 葛红霞, 程荣军 . 斜坡道路考虑平均流量差预期效应的格子流体力学模型[J]. 上海大学学报(自然科学版), 2020 , 26(3) : 367 -381 . DOI: 10.12066/j.issn.1007-2861.2209
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.
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