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Traffic Lights or Roundabout? Analysis using the Modified Kinematic LWR Model

Part of: Basic methods in fluid mechanics Hyperbolic equations and systems Partial differential equations, initial value and time-dependent initial-boundary value problems

Published online by Cambridge University Press:  27 January 2016

S. R. Pudjaprasetya ,
J. Bunawan  and
C. Novtiar
S. R. Pudjaprasetya*
Affiliation:
Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia
J. Bunawan
Affiliation:
Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia
C. Novtiar
Affiliation:
Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, Indonesia
*
*Corresponding author. Email address:sr_pudjap@math.itb.ac.id (S.R. Pudjaprasetya)
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Abstract

Traffic flow is treated as a continuum governed by the kinematic LWR model and the Greenshield flux function. The model is modified to describe traffic flow on a road with traffic lights or a roundabout. Parameters introduced determine the traffic flow behaviour and queue formation, and numerical simulations based on the Godunov method are carried out. The numerical procedure is shown to converge, and produces results consistent with previous analytic results.

Keywords

Kinematic LWR modelRiemann solutionsGodunov method

MSC classification

Secondary: 65M08: Finite volume methods 76M12: Finite volume methods 35L65: Conservation laws
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 6 , Issue 1 , February 2016 , pp. 80 - 88
Copyright
Copyright © Global-Science Press 2016 

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