Discontinuous Galerkin Method for Macroscopic Traffic Flow Models on Networks

作     者：LukášVacek Václav Kučera 

作者机构：Faculty of Mathematics and PhysicsCharles UniversitySokolovská49/8318600 PragueCzech Republic 

出 版 物：《Communications on Applied Mathematics and Computation》 (应用数学与计算数学学报（英文）)

年 卷 期：2022年第4卷第3期

页      面：986-1010页

核心收录：

学科分类：0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

基　　金：The work of L.Vacek is supported by the Charles University,project GA UK No.1114119 The work of V.Kučera is supported by the Czech Science Foundation,project No.20-01074S 

主　　题：Traffic flow Conservations laws on networks Discontinuous Galerkin method Numerical flux 

摘      要：In this paper,we describe a numerical technique for the solution of macroscopic traffic flow models on networks of *** individual roads,we consider the standard Lighthill-Whitham-Richards model which is discretized using the discontinuous Galerkin method along with suitable *** solve traffic flows on networks,we construct suitable numerical fluxes at junctions based on preferences of the *** 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 *** with the approach to numerical fluxes at junctions fromČanićet al.(J Sci Comput 63:233-255,2015)are discussed and demonstrated numerically on a simple network.