scholarly journals Correction to: A modified flux-wave formula for the solution of second order macroscopic traffic flow models

2021 ◽  
Author(s):  
M. Araghi ◽  
S. Mahdizadeh ◽  
H. Mahdizadeh ◽  
S. Moodi
Keyword(s):  
Traffic Flow ◽  
Second Order ◽  
Flow Models ◽  
Macroscopic Traffic Flow ◽  
Traffic Flow Models ◽  
Macroscopic Traffic Flow Models

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

2020 ◽  
Vol 31 (07) ◽  
pp. 2050097
Author(s):  
Jianzhong Chen ◽  
Ronghui Liu ◽  
Yanmei Hu
Keyword(s):  
High Resolution ◽  
Traffic Flow ◽  
Approximation Method ◽  
Numerical Approximation ◽  
Second Order ◽  
Upwind Scheme ◽  
Flow Models ◽  
Macroscopic Traffic Flow ◽  
Traffic Flow Models ◽  
Macroscopic Traffic Flow Models

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.

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