守恒高阶各向异性交通流模型基于POD方法的降阶外推差分格式

罗振东; 徐源

doi:10.3879/j.issn.1000-0887.2015.08.009

守恒高阶各向异性交通流模型基于POD方法的降阶外推差分格式

doi: 10.3879/j.issn.1000-0887.2015.08.009

罗振东,
徐源

华北电力大学数理学院, 北京 102206

基金项目: 国家自然科学基金(11271127)

详细信息

作者简介:
罗振东(1958—),男,广西桂平人,教授,博士,博士生导师(通迅作者. E-mail: hdluo@ncepu.edu.cn).

中图分类号: O242.21
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- 被引次数: 0
出版历程
- 收稿日期: 2015-03-16
- 修回日期: 2015-07-03
- 刊出日期: 2015-08-15

A Reduced-Order Extrapolating FDM for Conserved High-Order Anisotropic Traffic Flow Models

School of Mathematics and Physics, North China Electric Power University,Beijing 102206, P.R.China

Funds: The National Natural Science Foundation of China(11271127)

摘要

摘要: 利用Godunov流方法和特征投影分解方法，对守恒高阶各向异性交通流模型建立一种自由度很少、精度足够高的降阶外推差分算法, 并给出这种降阶外推差分算法近似解的误差估计和算法实现.最后,用数值例子说明数值结果与理论结果相吻合,并阐明这种降阶外推差分算法的优越性.
- Godunov流 /
- 各向异性交通流模型 /
- 降阶外推差分算法 /
- 特征投影分解 /
- 误差估计
Abstract: A reduced-order extrapolating finite difference method (FDM) with sufficiently high accuracy and very few degrees of freedom for conserved high-order anisotropic traffic flow models was established by means of the Godunov fluid method and the POD technique. The error estimate of the reduced-order approximate solutions and the algorithm implementation of the reduced-order extrapolating difference scheme were presented. Finally, a numerical example was used to illustrate that the results of the proposed method were consistent with those of the classic difference scheme. Moreover, the high efficiency and sufficient accuracy of the reduced-order extrapolating simulation method are shown.
- Godunov fluid /
- conserved high-order anisotropic traffic flow model /
- reduced-order extrapolating finite difference scheme /
- POD /
- error estimate

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参考文献(26)

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