论文标题
网络上的二阶流量流模型
Second-order traffic flow models on networks
论文作者
论文摘要
本文介绍了单向道路网络上的交通流量的AW-Rascle-Zhang模型。为了保护质量和广泛的动量，我们为连接处的黎曼问题构建了弱解决方案。我们特别专注于通过引入一个进一步的参考压力的方程来对均质压力的新型近似。然后，使用适当的Godunov类型的数值方案来解决所得的耦合保护定律系统。数值模拟表明，所提出的近似能够很好地近似均质的压力。还说明了与Lighthill-Whitham-Richards模型相比，新方法的差异。
This paper deals with the Aw-Rascle-Zhang model for traffic flow on uni-directional road networks. For the conservation of the mass and the generalized momentum, we construct weak solutions for Riemann problems at the junctions. We particularly focus on a novel approximation to the homogenized pressure by introducing an additional equation for the propagation of a reference pressure. The resulting system of coupled conservation laws is then solved using an appropriate numerical scheme of Godunov type. Numerical simulations show that the proposed approximation is able to approximate the homogenized pressure sufficiently well. The difference of the new approach compared with the Lighthill-Whitham-Richards model is also illustrated.
