%0 Journal Article
%T Inflow Outflow Effect and Shock Wave Analysis in a Traffic Flow Simulation
%A Ahsan Ali
%A Laek Sazzad Andallah
%J American Journal of Computational Mathematics
%P 55-65
%@ 2161-1211
%D 2016
%I Scientific Research Publishing
%R 10.4236/ajcm.2016.62007
%X 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.
%K Macroscopic Model
%K Source Term
%K Shock Wave
%K Lax Friedrichs Scheme
%K Godunov Method
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=65971