斜坡道路考虑平均流量差预期效应的格子流体力学模型

doi:10.12066/j.issn.1007-2861.2209

上海大学学报(自然科学版) ›› 2020, Vol. 26 ›› Issue (3): 367-381.doi: 10.12066/j.issn.1007-2861.2209

斜坡道路考虑平均流量差预期效应的格子流体力学模型

魏麒¹, 常银银², 葛红霞², 程荣军²()

1. 宁波财经学院国际经济贸易学院, 浙江宁波 315175
2. 宁波大学海运学院, 浙江宁波 315211

收稿日期:2020-02-10 出版日期:2020-06-30 发布日期:2020-07-07
通讯作者: 程荣军 E-mail:chengrongjun@nbu.edu.cn
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

WEI Qi¹, CHANG Yinyin², GE Hongxia², CHENG Rongjun²()

1. College of International Economics and Trade, Ningbo University of Finance and Economics, Ningbo 315175, Zhejiang, China
2. Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, Zhejiang, China

Received:2020-02-10 Online:2020-06-30 Published:2020-07-07
Contact: CHENG Rongjun E-mail:chengrongjun@nbu.edu.cn

摘要/Abstract

摘要：

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.

关键词: 平均流量差, 预期效应, 坡度, 格子流体力学模型, 反馈控制

Abstract:

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.

Key words: average flux difference, predicted effect, control signal, gradients, lattice hydrodynamic model

中图分类号:

U491.5

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.

WEI Qi, CHANG Yinyin, GE Hongxia, CHENG Rongjun. Predicted effect of average flux difference in a lattice hydrodynamic model with gradients[J]. Journal of Shanghai University（Natural Science Edition）, 2020, 26(3): 367-381.

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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

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