               A mathematical model for fluid-dynamic flows on networks based on conservation laws
               and proposed into two papers by Coclite-Garavello-Piccoli and Chitour-Piccoli,
               is tested through a simulator prototype. This simulator, following such fluid-dynamic
               model, is applied to urban road networks, which are represented as graphs.

               The numerical approximation of scalar conservation laws along arcs composing
               the graph, is performed by numerical methods for conservation laws like the classical
               Godunov's scheme and kinetic schemes of first and second order with the use of
               suitable boundary conditions.

We present the algorithm and the applications to some simple cases and also
to real portions of urban network.

Introduction: the model for a single road, for the pdf file click here.

The model at the junctions, for the pdf file click here.

Numerical approximation methods, for the pdf file click here.

Traffic Numerical Simulations


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