Discontinuous Galerkin Method for Macroscopic Traffic Flow Models on Networks  

作　　者：LukášVacek Václav Kučera 

机构地区：[1]Faculty of Mathematics and Physics,Charles University,Sokolovská49/83,18600 Prague,Czech Republic

出　　处：《Communications on Applied Mathematics and Computation》2022年第3期986-1010,共25页应用数学与计算数学学报（英文）

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.

摘　　要：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.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 fromČanićet al.(J Sci Comput 63:233-255,2015)are discussed and demonstrated numerically on a simple network.

关 键 词：Traffic flow Conservations laws on networks Discontinuous Galerkin method Numerical flux 

分 类 号：TN9[电子电信—信息与通信工程]