网络交通流模型的高分辨率迎风格式
A High Resolution Upwind Scheme for Traffic Flow on Networks
DOI: 10.12677/AAM.2019.812238, PDF,    科研立项经费支持
作者: 孙文彬, 高 巍：内蒙古大学数学科学学院，内蒙古 呼和浩特
关键词: 有限体积法；交通流模型；双曲守恒律；Finite Volume Method； Traffic Flow Model； Hyperbolic Conservation Law
摘要: 本文利用双曲守恒律方程描述车流密度的变化规律，选择一种同时满足CBC (Convection Boundedness Criterion)准则和TVD (Total Variation Diminishing)限制条件的HPUS高阶有界格式，并利用该格式对交通流问题中的一些典型算例进行数值模拟，对比结果表明该格式在间断处可有效抑制非物理振荡，并具有良好数值逼近效果。
Abstract: In this paper, the hyperbolic conservation law is used to describe the change law of the traffic flow density. Some typical examples of traffic flow problems are numerically simulated with a HPUS high-order bounded scheme that satisfies both CBC condition and TVD constraint. The results show that the scheme can effectively suppress non-physical oscillations near the discontinuities, and has good performance of numerical approximation.
文章引用：孙文彬, 高巍. 网络交通流模型的高分辨率迎风格式[J]. 应用数学进展, 2019, 8(12): 2072-2083. https://doi.org/10.12677/AAM.2019.812238

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