Analysis of Traffic Evolution on Road Networks of a Roundabout
Joint Authors
Muleta, Tolesa Hundesa
Obsu, Legesse Lemecha
Source
Journal of Applied Mathematics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-05
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In this paper, the analyses of traffic evolution on the road network of a roundabout having three entrances and three exiting legs are conducted from macroscopic point of view.
The road networks of roundabouts are modeled as a merging and diverging types 1×2 and 2×1 junctions.
To study traffic evolution at junction, two cases have been considered, namely, demand and supply limited cases.
In each case, detailed mathematical analysis and numerical tests have been presented.
The analysis in the case of demand limited showed that rarefaction wave fills the portion of the road network in time.
In the contrary, in supply limited case, traffic congestion occurs at merging junctions and shock wave propagating back results in reducing the performance of a roundabout to control traffic dynamics.
Also, we illustrate density and flux profiles versus space discretization at different time steps via numerical simulation with the help of Godunov scheme.
American Psychological Association (APA)
Muleta, Tolesa Hundesa& Obsu, Legesse Lemecha. 2020. Analysis of Traffic Evolution on Road Networks of a Roundabout. Journal of Applied Mathematics،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1174517
Modern Language Association (MLA)
Muleta, Tolesa Hundesa& Obsu, Legesse Lemecha. Analysis of Traffic Evolution on Road Networks of a Roundabout. Journal of Applied Mathematics No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1174517
American Medical Association (AMA)
Muleta, Tolesa Hundesa& Obsu, Legesse Lemecha. Analysis of Traffic Evolution on Road Networks of a Roundabout. Journal of Applied Mathematics. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1174517
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174517