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

Nikolos Ioannis, Delis Anargyros, Papageorgiou Markos

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URIhttp://purl.tuc.gr/dl/dias/229FA40F-F2FC-4747-B0CD-EE1B4ED7B0BF-
Αναγνωριστικόhttps://doi.org/10.1063/1.4912741 -
Αναγνωριστικόhttps://www.researchgate.net/publication/275946475_Relaxation_approximations_to_second-order_traffic_flow_models_by_high-resolution_schemes-
Γλώσσαen-
ΤίτλοςRelaxation approximations to second-order traffic flow models by high-resolution schemesen
ΔημιουργόςNikolos Ioannisen
ΔημιουργόςΝικολος Ιωαννηςel
ΔημιουργόςDelis Anargyrosen
ΔημιουργόςΔελης Αναργυροςel
ΔημιουργόςPapageorgiou Markosen
ΔημιουργόςΠαπαγεωργιου Μαρκοςel
ΕκδότηςAmerican Institute of Physicsen
ΠεριγραφήThe 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
ΠερίληψηA 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
ΤύποςΠλήρης Δημοσίευση σε Συνέδριοel
ΤύποςConference Full Paperen
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by-nc-nd/4.0/en
Ημερομηνία2015-03-30-
Ημερομηνία Δημοσίευσης2014-
Θεματική ΚατηγορίαSecond-order traffic flow modelsen
Θεματική ΚατηγορίαRelaxation schemesen
Θεματική ΚατηγορίαNumerical modelingen
Βιβλιογραφική ΑναφοράI. 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

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