The Aw–Rascle traffic model with locally constrained flow

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 car...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 378; no. 2; pp. 634 - 648
Main Authors Garavello, M., Goatin, P.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 15.06.2011
Elsevier
Subjects
Analysis of PDEs
Aw–Rascle model
Exact sciences and technology
Finite volume numerical scheme
Mathematical analysis
Mathematics
Partial differential equations
Riemann problem
Sciences and techniques of general use
Traffic models
Unilateral constraint
Aw–Rascle model
Traffic models
Riemann problem
Unilateral constraint
Finite volume numerical scheme
Invariant
Traffic flow
Mathematical analysis
Numerical solution
Aw-Rascle model
Finite volume method
Numerical method
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Summary: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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2011.01.033