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多等级交通流LWR模型中的非线性波描述与WENO数值逼近

张鹏 戴世强 刘儒勋

张鹏, 戴世强, 刘儒勋. 多等级交通流LWR模型中的非线性波描述与WENO数值逼近[J]. 应用数学和力学, 2005, 26(6): 637-644.
引用本文: 张鹏, 戴世强, 刘儒勋. 多等级交通流LWR模型中的非线性波描述与WENO数值逼近[J]. 应用数学和力学, 2005, 26(6): 637-644.
ZHANG Peng, DAI Shi-qiang, LIU Ru-xun. Description and WENO Numerical Approximation to Nonlinear Waves of a Multi-Class Traffic Flow LWR Model[J]. Applied Mathematics and Mechanics, 2005, 26(6): 637-644.
Citation: ZHANG Peng, DAI Shi-qiang, LIU Ru-xun. Description and WENO Numerical Approximation to Nonlinear Waves of a Multi-Class Traffic Flow LWR Model[J]. Applied Mathematics and Mechanics, 2005, 26(6): 637-644.

多等级交通流LWR模型中的非线性波描述与WENO数值逼近

基金项目: 国家自然科学基金资助项目(10472064;10371118);中国博士后科学基金资助项目(2003034254);国家教育部博士点专项基金资助项目(20040280014)
详细信息
    作者简介:

    张鹏(1963- ),男,云南个旧人,副教授,博士(联系人.Tel:+86-21-56331458;Fax:+86-21-36033087;E-mail:pengzhang@ustc.edu.cn).

  • 中图分类号: TB126

Description and WENO Numerical Approximation to Nonlinear Waves of a Multi-Class Traffic Flow LWR Model

  • 摘要: 证明了交通流多等级LWR(Lighthill-Whitham-Richards)模型的双曲性质,并根据交通流的特征给出关于其非线性波的描述,主要包括车流通过激波和稀疏波时密度和速度的单调性变化.由于方程组没有显式的特征分解,所以引入具有高分辨和高精度的WENO(weighted essentially non~oscillatory)格式作数值模拟,得到与理论描述完全一致的数值结果.
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出版历程
  • 收稿日期:  2003-12-30
  • 修回日期:  2005-02-05
  • 刊出日期:  2005-06-15

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