We consider a mathematical model for fluid-dynamic flows on network based on conservation laws. Road networks are considered as graphs composed by arcs that meet at some junctions. The crucial point is the junction, where interactions occur and the problem is underdetermined. The approximation of scalar conservation laws along arcs is made by tree velocities Kinetic schemes with 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 a simple case and to portions of urban network.
Numerical Approximations of a Traffic Flow Model for Road Networks
D'APICE, Ciro;PICCOLI, Benedetto
2005-01-01
Abstract
We consider a mathematical model for fluid-dynamic flows on network based on conservation laws. Road networks are considered as graphs composed by arcs that meet at some junctions. The crucial point is the junction, where interactions occur and the problem is underdetermined. The approximation of scalar conservation laws along arcs is made by tree velocities Kinetic schemes with 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 a simple case and to portions of urban network.File in questo prodotto:
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