The Aw-Rascle traffic model with locally constrained flow

Details The Aw-Rascle traffic model with locally constrained flow The Aw-Rascle traffic model with locally constrained flow

2010-06-30

arxiv.org/abs/1006.5865v1

Mathematics

Analysis of PDEs

24 pages

Scientific paper

We consider solutions of the Aw-Rascle model for traffic flow fulfilling a constraint on the flux at $x=0$. Two different kinds of solutions are proposed: at $x=0$ the first one conserves both the number of vehicles and the generalized momentum, while the second one conserves only the number of cars. We study the invariant domains for these solutions and we compare the two Riemann solvers in terms of total variation of relevant quantities. Finally we construct ad hoc finite volume numerical schemes to compute these solutions.

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