NUMERICAL APPROXIMATIONS OF A TRAFFIC FLOW MODEL ON NETWORKS

被引：0

作者：

Department of Engineering of Information and Applied Mathematics, DIIMA, University of Salerno, Via Ponte Don Melillo, 1, Sa, Fisciano ^{[1
]}

84084, Italy

不详 ^{[2
]}

00161, Italy

机构：

[1] Department of Engineering of Information and Applied Mathematics, DIIMA, University of Salerno, Via Ponte Don Melillo, 1, Sa, Fisciano

[2] Istituto per le Applicazioni del Calcolo “M. Picone” IAC-CNR, Viale del Policlinico, 137, Rome

来源：

Netw. Heterogeneous Media | 2006年 / 1卷 / 57-84期

关键词：

boundary conditions; finite difference schemes; fluid-dynamic models; Scalar conservation laws; traffic flow;

D O I：

10.3934/nhm.2006.1.57

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 considered as graphs composed by arcs that meet at some junctions. The crucial point is represented by junctions, where interactions occur and the problem is under-determined. 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 proceeds processing each junction. We present the algorithm and its application to some simple test cases and to portions of urban network. © American Institute of Mathematical Sciences.

引用

页码：57 / 84

页数：27

共 19 条

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