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交通流流体力学模型与非线性波

张鹏 王卓 黄仕进

张鹏, 王卓, 黄仕进. 交通流流体力学模型与非线性波[J]. 应用数学和力学, 2013, 34(1): 85-97. doi: 10.3879/j.issn.1000-0887.2013.01.009
引用本文: 张鹏, 王卓, 黄仕进. 交通流流体力学模型与非线性波[J]. 应用数学和力学, 2013, 34(1): 85-97. doi: 10.3879/j.issn.1000-0887.2013.01.009
ZHANG Peng, WANG Zhuo, S.C.Wong. Fluid Dynamics Traffic Flow Models and Their Related Non-Linear Waves[J]. Applied Mathematics and Mechanics, 2013, 34(1): 85-97. doi: 10.3879/j.issn.1000-0887.2013.01.009
Citation: ZHANG Peng, WANG Zhuo, S.C.Wong. Fluid Dynamics Traffic Flow Models and Their Related Non-Linear Waves[J]. Applied Mathematics and Mechanics, 2013, 34(1): 85-97. doi: 10.3879/j.issn.1000-0887.2013.01.009

交通流流体力学模型与非线性波

doi: 10.3879/j.issn.1000-0887.2013.01.009
基金项目: 国家自然科学基金资助项目(11072141;11272199);国家重点基础研究发展计划资助项目(2012CB725404);上海市重点学科建设资助项目(S30106)
详细信息
    作者简介:

    张鹏 (1963—),男,云南个旧人,教授(通讯作者.E-mail: pzhang@mail.shu.edu.cn).

  • 中图分类号: O29

Fluid Dynamics Traffic Flow Models and Their Related Non-Linear Waves

  • 摘要: 介绍了交通流问题中的流体力学描述方法,分析了交通流在受压力和自驱动力等因素作用下所产生的非线性波动现象.这些描述包括LWR运动学模型,考虑动力学效应的高阶模型,考虑超车效应的多车种LWR(Lighthill-Whitham-Richards)模型,以及考虑流通量间断的模型方程.此外,还介绍了LWR网络推广模型在交叉口的Riemann问题求解;提出了描述二维行人流问题的Navier-Stokes-Eikon方程模型并描述了确定行人流运动期盼方向的基本思想.
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出版历程
  • 收稿日期:  2012-11-19
  • 修回日期:  2012-12-10
  • 刊出日期:  2013-01-15

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