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

作　　者：孙文彬 高巍[1] 

机构地区：[1]内蒙古大学数学科学学院,内蒙古 呼和浩特

出　　处：《应用数学进展》2019年第12期2072-2083,共12页Advances in Applied Mathematics

基　　金：本文由内蒙古大学科研发展基金项目(21100-5187133)支持。

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。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.

关 键 词：有限体积法 交通流模型 双曲守恒律 

分 类 号：O17[理学—数学]