Institutional Repository [SANDBOX]
Technical University of Crete
EN  |  EL

Search

Browse

My Space

Relaxation approximations to second-order traffic flow models by high-resolution schemes

Nikolos Ioannis, Delis Anargyros, Papageorgiou Markos

Simple record


URIhttp://purl.tuc.gr/dl/dias/229FA40F-F2FC-4747-B0CD-EE1B4ED7B0BF-
Identifierhttps://doi.org/10.1063/1.4912741 -
Identifierhttps://www.researchgate.net/publication/275946475_Relaxation_approximations_to_second-order_traffic_flow_models_by_high-resolution_schemes-
Languageen-
TitleRelaxation approximations to second-order traffic flow models by high-resolution schemesen
CreatorNikolos Ioannisen
CreatorΝικολος Ιωαννηςel
CreatorDelis Anargyrosen
CreatorΔελης Αναργυροςel
CreatorPapageorgiou Markosen
CreatorΠαπαγεωργιου Μαρκοςel
PublisherAmerican Institute of Physicsen
DescriptionThe research leading to these results has received funding from the European Research Council under the European Union's Seventh Framework Programme (FP/2007-2013) / ERC Grant Agreement n. 321132, project TRAMAN21.en
Content SummaryA relaxation-type approximation of second-order non-equilibrium traffic models, written in conservation or balance law form, is considered. Using the relaxation approximation, the nonlinear equations are transformed to a semi-linear diagonilizable problem with linear characteristic variables and stiff source terms with the attractive feature that neither Riemann solvers nor characteristic decompositions are in need. In particular, it is only necessary to provide the flux and source term functions and an estimate of the characteristic speeds. To discretize the resulting relaxation system, high-resolution reconstructions in space are considered. Emphasis is given on a fifth-order WENO scheme and its performance. The computations reported demonstrate the simplicity and versatility of relaxation schemes as numerical solvers.en
Type of ItemΠλήρης Δημοσίευση σε Συνέδριοel
Type of ItemConference Full Paperen
Licensehttp://creativecommons.org/licenses/by-nc-nd/4.0/en
Date of Item2015-03-30-
Date of Publication2014-
SubjectSecond-order traffic flow modelsen
SubjectRelaxation schemesen
SubjectNumerical modelingen
Bibliographic CitationI. K. Nikolos, A. I. Delis and M. Papageorgiou, "Relaxation approximations to second-order traffic flow models by high-resolution schemes," in 12th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2014), Rhodes, Greece, 22-28 September 2014, pp. 530008 1-4. doi: 10.1063/1.4912741 en

Available Files

Services

Statistics