High-resolution central-upwind scheme for second-order macroscopic traffic flow models

Jianzhong Chen, Ronghui Liu and Yanmei Hu
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Jianzhong Chen: School of Automation, Northwestern Polytechnical University, Xi’an 710072, P. R. China
Ronghui Liu: #x2020;Institute for Transport Studies, University of Leeds, Leeds LS2 9JT, UK
Yanmei Hu: #x2021;School of Science, Chang’an University, Xi’an, Shaanxi 710064, P. R. China

International Journal of Modern Physics C (IJMPC), 2020, vol. 31, issue 07, 1-19

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.

Keywords: Traffic flow model; central-upwind scheme; numerical approximation; high-resolution (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0129183120500977

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