典型文献
Discontinuous Galerkin Method for Macroscopic Traffic Flow Models on Networks
文献摘要：
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 prop-erties 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 ?ani? et al.(J Sci Comput 63:233-255,2015)are discussed and demonstrated numerically on a simple network.
文献关键词：
中图分类号：
作者姓名：
Luká? Vacek;Vaclav Ku?era
作者机构：
Faculty of Mathematics and Physics,Charles University,Sokolovská 49/83,186 00 Prague,Czech Republic
文献出处：
引用格式：
[1]Luká? Vacek;Vaclav Ku?era-.Discontinuous Galerkin Method for Macroscopic Traffic Flow Models on Networks)[J].应用数学与计算数学学报,2022(03):986-1010
A类：
limiters,Comput
B类：
Discontinuous,Galerkin,Method,Macroscopic,Traffic,Flow,Models,Networks,In,this,paper,we,describe,technique,solution,macroscopic,traffic,models,networks,roads,On,individual,consider,standard,Lighthill,Whitham,Richards,which,discretized,using,discontinuous,method,along,suitable,To,solve,flows,fluxes,junctions,preferences,drivers,We,prove,basic,prop,erties,constructed,resulting,scheme,present,experiments,including,complicated,light,patterns,multiple,phases,Differences,approach,from,ani,Sci,are,discussed,demonstrated,numerically,simple
AB值：
0.629648
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