The Aw–Rascle traffic model with locally constrained flow
By Mauro Garavello, Paola Goatin. 2010
51 citations recorded by the source corpus.
Abstract 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.
Subfields: Control and Systems Engineering, Ocean Engineering, Transportation
View Paper: https://www.semanticscholar.org/paper/b9ccb1ff8bac62ad371a38a93cbd45ae5c8bb6ae
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In Control and Systems Engineering
In Ocean Engineering
In Transportation
Citations in the corpus
- Scalar conservation laws with moving constraints arising in traffic flow modeling: an existence result (2014, background): “[1, 9, 8], see also [15] for an extension to systems.”