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流通量间断守恒高阶交通流模型及其数值模拟

乔殿梁 李晓洋 郭明旻 张鹏

乔殿梁, 李晓洋, 郭明旻, 张鹏. 流通量间断守恒高阶交通流模型及其数值模拟[J]. 应用数学和力学, 2019, 40(5): 546-561. doi: 10.21656/1000-0887.390277
引用本文: 乔殿梁, 李晓洋, 郭明旻, 张鹏. 流通量间断守恒高阶交通流模型及其数值模拟[J]. 应用数学和力学, 2019, 40(5): 546-561. doi: 10.21656/1000-0887.390277
QIAO Dianliang, LI Xiaoyang, GUO Mingmin, ZHANG Peng. A Conserved HighOrder Traffic Flow Model With Discontinuous Flux and Its Numerical Simulation[J]. Applied Mathematics and Mechanics, 2019, 40(5): 546-561. doi: 10.21656/1000-0887.390277
Citation: QIAO Dianliang, LI Xiaoyang, GUO Mingmin, ZHANG Peng. A Conserved HighOrder Traffic Flow Model With Discontinuous Flux and Its Numerical Simulation[J]. Applied Mathematics and Mechanics, 2019, 40(5): 546-561. doi: 10.21656/1000-0887.390277

流通量间断守恒高阶交通流模型及其数值模拟

doi: 10.21656/1000-0887.390277
基金项目: 国家自然科学基金(面上项目)(11672348;11272199);国家重点研发计划(2018YFB1600900);国家重点基础研究发展计划(973计划)(2012CB725404)
详细信息
    作者简介:

    乔殿梁(1982—),女,博士生(E-mail: qdl821115@163.com);张鹏(1963—),男,教授(通讯作者. E-mail: pzhang@shu.edu.cn).

  • 中图分类号: O29

A Conserved HighOrder Traffic Flow Model With Discontinuous Flux and Its Numerical Simulation

Funds: The National Natural Science Foundation of China(General Program)(11672348;11272199);The National Key R&D Program of China(2018YFB1600900);The National Basic Research Program of China(973 Program)(2012CB725404)
  • 摘要: 在非均匀道路条件下,推广了各向异性守恒高阶交通流模型(CHO模型),获得流通量间断CHO模型,并基于其Riemann不变量性质,运用局部简化方法及δ映射算法,设计了求解流通量间断CHO模型的一阶Godunov、EO(Engquist-Osher)和LF(Lax-Friedrichs)等数值格式.通过数值模拟表明流通量间断CHO模型是合理有效的,它可以描述平衡态和非平衡态交通流,相对于流通量间断LWR(Lighthill-Whitham-Richards)模型,其能更好地刻画实际交通现象.
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出版历程
  • 收稿日期:  2018-11-01
  • 修回日期:  2019-01-02
  • 刊出日期:  2019-05-01

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