论文标题
网络上的宏观交通流模型的不连续的Galerkin方法
Discontinuous Galerkin method for macroscopic traffic flow models on networks
论文作者
论文摘要
在本文中，我们描述了一种用于道路网络上宏观交通模型解决方案的数值技术。在各个道路上，我们考虑了标准的Lighthill-Whitham-Richards模型，该模型使用不连续的Galerkin方法以及合适的限制器进行离散化。为了解决网络上的流量，我们根据驱动程序的偏好在交界处构建合适的数值通量。我们证明了构建的数值通量和结果方案的基本特性，并提供了数值实验，包括具有具有多个阶段的复杂交通光模式的连接。在简单的网络上，讨论并在数字上讨论并证明了与2015年连接数字通量方法的差异。
In this paper, we describe a numerical technique for the solution of macroscopic traffic flow models on networks of roads. On individual roads, we consider the standard Lighthill-Whitham-Richards model which is discretized using the discontinuous Galerkin method along with suitable limiters. In order to solve traffic flows on networks, we construct suitable numerical fluxes at junctions based on preferences of the drivers. We prove basic properties of the constructed numerical flux and the resulting scheme and present numerical experiments, including a junction with complicated traffic light patterns with multiple phases. Differences with the approach to numerical fluxes at junctions from Čanić et al., 2015, are discussed and demonstrated numerically on a simple network.
