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.

中文翻译：

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二阶宏观交通流模型的高分辨率中心迎风格式

交通流模型是交通事件检测和交通控制等交通管理应用的重要工具。在本文中，我们提出了一种新的二阶宏观交通流模型数值逼近方法。该方法基于半离散中心迎风数值通量和空间离散化的高阶重建。然后，我们将设计的高分辨率方案应用于三种具有代表性的二阶交通流模型，并进行各种数值实验来验证所提出的方法。仿真结果说明了中央迎风方案作为宏观交通流模型数值逼近方法的有效性、简单性和通用性。