Numerical simulation of macroscopic continuum traffic models

Leo C.J. and Pretty R.L. (1992) Numerical simulation of macroscopic continuum traffic models. Transportation Research Part B, 26 3: 207-220. doi:10.1016/0191-2615(92)90025-R

Author Leo C.J.
Pretty R.L.
Title Numerical simulation of macroscopic continuum traffic models
Journal name Transportation Research Part B   Check publisher's open access policy
ISSN 0191-2615
Publication date 1992-01-01
Sub-type Article (original research)
DOI 10.1016/0191-2615(92)90025-R
Volume 26
Issue 3
Start page 207
End page 220
Total pages 14
Language eng
Subject 1803 Management Science and Operations Research
3313 Transportation
Abstract This paper presents the derived Roe's flux difference splitting method for Payne's formulation of the macroscopic model. In recent years, this finite difference method has generated much interest and been used successfully in gas dynamics. Payne's equations are actually those of the isentropic gas having constant speed of sound and in homogeneous terms on the right hand side. Our motivation for deriving Roe's flux difference splitting algorithm for Payne's model and also highlighting the scalar equivalent of Roe's method (the Murman scheme) for the Lighthill-Whitham (LW) model stems from the reports of numerical simulation difficulties pertaining to two models. The numerical schemes were used on Payne's and LW models to simulate three traffic scenarios with satisfactory results. We were able to simulate the propagation of congested density upstream in one freeway bottleneck scenario at a finer discretization. Another scenario did not manage to obtain realistic results with Payne's model, we did.
Q-Index Code C1
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
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Citation counts: TR Web of Science Citation Count  Cited 24 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 29 times in Scopus Article | Citations
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