文章基本信息

标题：Inflow Outflow Effect and Shock Wave Analysis in a Traffic Flow Simulation
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作者：Ahsan Ali ; Laek Sazzad Andallah
期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2016
卷号：06
期号：02
页码：55-65
DOI：10.4236/ajcm.2016.62007
语种：English
出版社：Scientific Research Publishing
摘要：This paper investigates the effect of inflow, outflow and shock waves in a single lane highway traffic flow problem. A constant source term has been introduced to demonstrate the inflow and outflow. The classical Lighthill Whitham and Richards (LWR) model combined with the Greenshields model is used to obtain analytical and numerical solutions. The model is treated as an IBVP and numerical solutions are presented using Lax Friedrichs scheme. Godunov method is also used to present shock wave analysis. The numerical procedures adopted in this investigation yield results which are very much consistent with real life scenario in terms of traffic density and velocity.
关键词：Macroscopic Model;Source Term;Shock Wave;Lax Friedrichs Scheme;Godunov Method