Simulation of Traffic Flow Model with Traffic Controller Boundary

UNSPECIFIED (2013) Simulation of Traffic Flow Model with Traffic Controller Boundary. International Journal of Science and Engineering, 5 (1). pp. 25-30. ISSN 20865023

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Official URL: http://ejournal.undip.ac.id/index.php/ijse/article...

Abstract

This paper considers a fluid dynamic traffic flow model appended with a closure linear velocity-density relationship which provides a first order hyperbolic partial differential equation (PDE) and is treated as an initial boundary value problem (IBVP). We consider the boundary value in such a way that one side of highway treat like there is a traffic controller at that point. We present the analytic solution of the traffic flow model as a Cauchy problem. A numerical simulation of the traffic flow model (IBVP) is performed based on a finite difference scheme for the model with two sided boundary conditions and a suitable numerical scheme for this is the Lax-Friedrichs scheme. Solution figure from our scheme indicates a desired result that amplitude and frequency of cars density and velocity reduces as time grows. Also at traffic controller point, velocity and density values change as desired manner. In further, we also want to introduce anisotropic behavior of cars(to get more realistic picture) which has not been considered here. Doi: 10.12777/ijse.5.1.25-30 [How to cite this article: Sultana, N., Parvin, M. , Sarker, R., Andallah, L.S. (2013). Simulation of Traffic Flow Model with Traffic Controller Boundary. International Journal of Science and Engineering, 5(1),25-30. Doi: 10.12777/ijse.5.1.25-30]

Item Type:Article
Uncontrolled Keywords:tensity function; tinite difference scheme; macroscopic traffic flow model; nonlinear velocity; tumerical simulation
Subjects:T Technology > TP Chemical technology
Divisions:Faculty of Engineering > Department of Chemical Engineering
Faculty of Engineering > Department of Chemical Engineering
ID Code:40109
Deposited By:teknik kimia
Deposited On:13 Sep 2013 14:06
Last Modified:13 Sep 2013 14:06

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