Inflow Outflow Effect and Shock Wave Analysis in a Traffic Flow Simulation
Inflow Outflow Effect and Shock Wave Analysis in a Traffic Flow Simulation作者机构：Department of Electronics and Communications Engineering East West University Dhaka Bangladesh Department of Mathematics Jahangirnagar University Dhaka Bangladesh
出 版 物：《American Journal of Computational Mathematics》 (美国计算数学期刊（英文）)
年 卷 期：2016年第6卷第2期
页 面：55-65页
学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）]
主 题：Macroscopic Model Source Term Shock Wave Lax Friedrichs Scheme Godunov Method
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.
维普期刊数据库