A characteristic particle method for traffic flow simulations on highway networks
Abstract
A characteristic particle method for the simulation of first order macroscopic traffic models on road networks is presented. The approach is based on the method "particleclaw", which solves scalar one dimensional hyperbolic conservations laws exactly, except for a small error right around shocks. The method is generalized to nonlinear network flows, where particle approximations on the edges are suitably coupled together at the network nodes. It is demonstrated in numerical examples that the resulting particle method can approximate traffic jams accurately, while only devoting a few degrees of freedom to each edge of the network.
 Publication:

arXiv eprints
 Pub Date:
 December 2011
 arXiv:
 arXiv:1201.0057
 Bibcode:
 2012arXiv1201.0057F
 Keywords:

 Mathematics  Numerical Analysis;
 Physics  Computational Physics;
 Physics  Physics and Society;
 65M25;
 35L65
 EPrint:
 15 pages, 5 figures. Accepted to the proceedings of the Sixth International Workshop Meshfree Methods for PDE 2011