交通流问题的有限元分析与模拟(Ⅲ)

计算物理 ›› 2003, Vol. 20 ›› Issue (2): 130-136.

交通流问题的有限元分析与模拟(Ⅲ)

张鹏, 刘儒勋

中国科技大学数学系, 安徽合肥 230026

收稿日期:2001-02-19 修回日期:2002-02-05 出版日期:2003-03-25 发布日期:2003-03-25
作者简介:张鹏(1963-),男,云南个旧,副教授,博士生,从事计算流体力学研究.
基金资助:
国家自然科学基金(10071083),10028103)资助项目

Finite Element Analysis on Traffic Flow Problem(Ⅲ)

ZHANG Peng, LIU Ru-xun

Mathematics Department, University of Science and Technology of China, Hefei 230026, China

Received:2001-02-19 Revised:2002-02-05 Online:2003-03-25 Published:2003-03-25

摘要/Abstract

摘要： 将交通流Zhang H M模型和吴正模型改进为包括车道数变化的情况,指出它们与传统的L-W理论模型方程的联系和区别,并将Runge-Kutta间断Galerkin有限元方法推广应用到这些模型的数值求解.数值模拟包括红绿灯、车道数改变和非平衡状态时的超车行驶等交通流现象.

关键词: 交通流模型, 间断Galerkin方法, 非平衡状态交通流

Abstract: Two influential traffic flow models formulated by Zhang H M and Wu Zheng are improved to include the lane-change problem,and the relations between the two models and the traditional speed-density hypothesis model are discussed.Runge-Kutta Discontinuous Galerkin Finite Element Method is generalized and applied to these three models for numerical solutions through which the traffic signal problem,lane-change problem and non-equilibrium traffic flow phenomena are well simulated.

Key words: traffic flow models, discontinuous Galerkin method, non-equilibrium traffic flow

中图分类号:

O242.1

张鹏, 刘儒勋. 交通流问题的有限元分析与模拟(Ⅲ)[J]. 计算物理, 2003, 20(2): 130-136.

ZHANG Peng, LIU Ru-xun. Finite Element Analysis on Traffic Flow Problem(Ⅲ)[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 20(2): 130-136.

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