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- Title
High-resolution central-upwind scheme for second-order macroscopic traffic flow models.
- Authors
Chen, Jianzhong; Liu, Ronghui; Hu, Yanmei
- 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.
- Subjects
TRAFFIC engineering; TRAFFIC monitoring; TRAFFIC flow
- Publication
International Journal of Modern Physics C: Computational Physics & Physical Computation, 2020, Vol 31, Issue 7, pN.PAG
- ISSN
0129-1831
- Publication type
Article
- DOI
10.1142/S0129183120500977