A Fluid-Dynamic Traffic Model on Road Networks

被引：0
作者：
Gabriella Bretti
Roberto Natalini
Benedetto Piccoli
机构：
[1] University of Salerno,Department of Information Engineering and Applied Mathematics
[2] Istituto per le Applicazioni del Calcolo “M. Picone”,undefined
来源：
Archives of Computational Methods in Engineering | 2007年 / 14卷
关键词：
Road Network; Boundary Data; Riemann Problem; Kinetic Scheme; Godunov Scheme;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a mathematical model for fluid-dynamic flows on networks which is based on conservation laws. Road networks are studied as graphs composed by arcs that meet at some nodes, corresponding to junctions, which play a key-role. Indeed interactions occur at junctions and there the problem is underdetermined. The approximation of scalar conservation laws along arcs is carried out by using conservative methods, such as the classical Godunov scheme and the more recent discrete velocities kinetic schemes with the use of suitable boundary conditions at junctions. Riemann problems are solved by means of a simulation algorithm which processes each junction. We present the algorithm and its application to some simple test cases and to portions of urban network.
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页码：139 / 172
页数：33
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