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交通流模型基于特征投影分解技术的外推降维有限差分格式
A EXTRAPOLATION REDUCED-ORDER FDS BASED ON POD TECHNIQUE FOR TRAFFIC FLOW MODEL

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罗振东 1   高骏强 1   孙萍 2   安静 2  
文摘 利用特征正交分解(proper orthogonal decomposition,简记为POD)技术研究交通流的Aw-Rascle-Zhang(ARZ)模型.建立一种基于POD方法维数较低的外推降维有限差分格式,并用数值例子检验数值计算结果与理论结果相吻合,进一步表明基于POD方法的外推降维有限差分格式对于求解交通流方程数值解是可行和有效的.
其他语种文摘 In this paper, a traffic flow Aw-Rascle-Zhang(ARZ) model is studied with a proper orthogonal decomposition (POD) technique. A extrapolation reduced-order finite difference scheme (FDS) based on POD method with lower dimension is established. And a numerical example is used to verify that the results of numerical computation are consistent with theoretical conclusions. Moreover, it is shown that the extrapolation reduced-order FDS based on POD method is feasible and efficient for finding numerical solutions for traffic flow equation.
来源 计算数学 ,2013,35(2):159-170 【核心库】
关键词 特征正交分解 ; 交通流ARZ模型 ; 外推降维有限差分格式 ; 数值模拟
地址

1. 华北电力大学(北京)数理学院, 北京, 102206  

2. 贵州师范大学数学与计算机科学学院, 贵阳, 550001

语种 中文
文献类型 研究性论文
ISSN 0254-7791
学科 数学
基金 河北省自然科学基金 ;  贵州省项目 ;  国家自然科学基金
文献收藏号 CSCD:4839797

参考文献 共 44 共3页

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引证文献 1 篇

1 罗振东 守恒高阶各向异性交通流模型基于方法的降阶外推差分格式 应用数学和力学,2015,36(8):875-886
CSCD被引 4 次

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