计算物理 ›› 2001, Vol. 18 ›› Issue (4): 329-333.

• 论文 • 上一篇    下一篇

交通流问题的有限元分析和模拟(Ⅰ)

张鹏, 刘儒勋   

  1. 中国科学技术大学数学系, 安徽 合肥 230026
  • 收稿日期:2000-01-12 修回日期:2000-05-29 出版日期:2001-07-25 发布日期:2001-07-25
  • 作者简介:张鹏(1963-),男,云南个旧,讲师,从事计算流体力学方面的研究,昆明理工太学(新迎区)数学系,650051.

FINITE ELEMENT ANALYSIS ON TRAFFIC FLOW PROBLEM Ⅰ

ZHANG Peng, LIU Ru-xun   

  1. Mathematics Department, University of Science and Technology of China, Hefei 230026, P R China
  • Received:2000-01-12 Revised:2000-05-29 Online:2001-07-25 Published:2001-07-25

摘要: 采用交通流问题流体动力学模型,通过权余方法建立了相应的有限元弱解变分形式.利用一般的有限元方法进行了交通流问题的数值计算和数值模拟试验,并对数值结果进行了讨论和分析.

关键词: 交通流问题, 有限元方法, 弱解形式

Abstract: It proposes a viewpoint that the finite element method (FEM) might be well used in traffic flow models, among which a newly developed dynamics model is elaborated. In the discussion, it is foreseen that the new model is fundamentally sound and has much advantage over some well known traditional ones. In the FEM solution, the weak form of the model is properly constructed by means of weight residual method and equations for weak solution are given. Finally, it achieves some favorable results in the numerical simulation and this, in a degree, makes the argument convincing.

Key words: traffic flow problem, finite element method, weak form

中图分类号: