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High-resolution numerical relaxation approximations to second-order macroscopic traffic flow models

Delis Anargyros, Nikolos Ioannis, Papageorgiou Markos

Απλή Εγγραφή


URIhttp://purl.tuc.gr/dl/dias/1446AAF4-90C1-42FE-81D3-BABC1BC2C951-
Αναγνωριστικόhttp://www.sciencedirect.com/science/article/pii/S0968090X14001016-
Αναγνωριστικόhttps://doi.org/10.1016/j.trc.2014.04.004-
Γλώσσαen-
Μέγεθος32 pagesen
ΤίτλοςHigh-resolution numerical relaxation approximations to second-order macroscopic traffic flow modelsen
ΔημιουργόςDelis Anargyrosen
ΔημιουργόςΔελης Αναργυροςel
ΔημιουργόςNikolos Ioannisen
ΔημιουργόςΝικολος Ιωαννηςel
ΔημιουργόςPapageorgiou Markosen
ΔημιουργόςΠαπαγεωργιου Μαρκοςel
ΕκδότηςElsevieren
ΠερίληψηA novel numerical approach for the approximation of several, widely applied, macroscopic traffic flow models is presented. A relaxation-type approximation of second-order non-equilibrium 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. To discretize the resulting relaxation system, low- and high-resolution reconstructions in space and implicit–explicit Runge–Kutta time integration schemes are considered. The family of spatial discretizations includes a second-order MUSCL scheme and a fifth-order WENO scheme, and a detailed formulation of the scheme is presented. Emphasis is given on the WENO scheme and its performance for solving the different traffic models. To demonstrate the effectiveness of the proposed approach, extensive numerical tests are performed for the different models. The computations reported here demonstrate the simplicity and versatility of relaxation schemes as solvers for macroscopic traffic flow models.en
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2015-10-26-
Ημερομηνία Δημοσίευσης2014-
Θεματική ΚατηγορίαSecond-order traffic flow modelsen
Θεματική ΚατηγορίαNumerical modelingen
Θεματική ΚατηγορίαRelaxation schemesen
Θεματική ΚατηγορίαHigh-resolutionen
Βιβλιογραφική ΑναφοράA. I. Delis, I. K. Nikolos and M. Papageorgiou, "High-resolution numerical relaxation approximations to second-order macroscopic traffic flow models," Transp. Res. C: Emerging Technol., vol. 44, pp. 318-349, Jul. 2014. doi:10.1016/j.trc.2014.04.004en

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