期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 378, 期 2, 页码 634-648出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2011.01.033
关键词
Aw-Rascle model; Traffic models; Unilateral constraint; Riemann problem; Finite volume numerical scheme
资金
- NUSMAIN-NOMAIN 2009 project of the Galileo program 2009 (French-Italian cooperation program)
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. (C) 2011 Elsevier Inc. All rights reserved.
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