Higher-Order Traffic Flow Model Extended to Road Networks
Publication: Journal of Transportation Engineering, Part A: Systems
Volume 149, Issue 4
Abstract
In this work, a conserved higher-order (CHO) macroscopic traffic flow model is extended to road networks. We first introduce the Riemann problem at a junction for the CHO model and then provide a general framework to solve it, considering the compatibility between the CHO and Lighthill-Whitham-Richards (LWR) models. Through the presented framework, Riemann solvers for the LWR model can be extended to the CHO model. Specifically, a kind of Riemann solver for the LWR model is extended to derive the Riemann solver for the CHO model, in which the total actual flow at the junction is maximized. The Riemann solvers for three typical junctions (one-in-two-out junction, two-in-one-out junction, and two-in-two-out junction) are discussed. The first-order finite-volume method is adopted to solve the extended model. Numerical examples are given to validate the extended model and the numerical algorithm.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work was jointly supported by grants from the National Natural Science Foundation of China (Grant Nos. 72101185, 72021002, and 71890973), China Postdoctoral Science Foundation (Grant No. 2021M692414), and Guangdong-Hong Kong-Macau Joint Laboratory Program of the 2020 Guangdong New Innovative Strategic Research Fund, Guangdong Science and Technology Department (Grant No. 2020B1212030009). The second author was also supported by the Francis S Y Bong Professorship in Engineering.
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Published In
Journal of Transportation Engineering, Part A: Systems
Volume 149 • Issue 4 • April 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: May 27, 2022
Accepted: Nov 18, 2022
Published online: Jan 19, 2023
Published in print: Apr 1, 2023
Discussion open until: Jun 19, 2023
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