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A kinetic traffic network model and its macroscopic limit: diverging lanes
arXiv - CS - Numerical Analysis Pub Date : 2020-03-30 , DOI: arxiv-2003.14254
Raul Borsche, Axel Klar

In this paper we propose coupling conditions for a kinetic two velocity model for vehicular traffic for junctions with diverging lanes. We consider cases with and without directional preferences and present corresponding kinetic coupling conditions. From this kinetic network model coupling conditions for a macroscopic traffic model are derived. We use an analysis of the layer equations at the junction in combination with a suitable matching procedure with half-Riemann problems for the macroscopic model. In this way classical coupling conditions for scalar conservation laws for traffic flow on networks are derived from an underlying network problem.

中文翻译:

动态交通网络模型及其宏观极限:分流车道

在本文中,我们为具有分流车道的交叉路口的车辆交通的动力学双速度模型提出了耦合条件。我们考虑有和没有方向偏好的情况,并提出相应的动力学耦合条件。从这个动力学网络模型导出宏观交通模型的耦合条件。我们对连接处的层方程进行分析,并结合合适的匹配程序与宏观模型的半黎曼问题。通过这种方式,网络上交通流的标量守恒定律的经典耦合条件是从潜在的网络问题导出的。
更新日期:2020-04-01
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