Chen, J, Liu, R orcid.org/0000-0003-0627-3184 and Hu, Y (2020) High-resolution central-upwind scheme for second-order macroscopic traffic flow models. International Journal of Modern Physics C, 31 (07). 2050097. ISSN 0129-1831
Abstract
Traffic flow models are important tools for traffic management applications such as traffic incident detection and traffic control. In this paper, we propose a novel numerical approximation method for second-order macroscopic traffic flow models. The method is based on the semi-discrete central-upwind numerical flux and high-order reconstructions for spatial discretizations. We then apply the designed high-resolution schemes to three representative types of second-order traffic flow models and perform a variety of numerical experiments to validate the proposed methods. The simulation results illustrate the effectiveness, simplicity and universality of the central-upwind scheme as numerical approximation method for macroscopic traffic flow models.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is an author produced version of an article published in International Journal of Modern Physics C. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Traffic flow model; central-upwind scheme; numerical approximation; high-resolution |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Environment (Leeds) > Institute for Transport Studies (Leeds) > ITS: Spatial Modelling and Dynamics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 16 Sep 2020 12:43 |
Last Modified: | 23 Jun 2021 00:38 |
Status: | Published |
Publisher: | World Scientific Publishing |
Identification Number: | 10.1142/s0129183120500977 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:165593 |