Institutional Repository
Technical University of Crete
Technical University of Crete
EN
|
EL
| URI | http://purl.tuc.gr/dl/dias/1446AAF4-90C1-42FE-81D3-BABC1BC2C951 | - |
| Identifier | http://www.sciencedirect.com/science/article/pii/S0968090X14001016 | - |
| Identifier | https://doi.org/10.1016/j.trc.2014.04.004 | - |
| Language | en | - |
| Extent | 32 pages | en |
| Title | High-resolution numerical relaxation approximations to second-order macroscopic traffic flow models | en |
| Creator | Delis Anargyros | en |
| Creator | Δελης Αναργυρος | el |
| Creator | Nikolos Ioannis | en |
| Creator | Νικολος Ιωαννης | el |
| Creator | Papageorgiou Markos | en |
| Creator | Παπαγεωργιου Μαρκος | el |
| Publisher | Elsevier | en |
| Content Summary | A 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 |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2015-10-26 | - |
| Date of Publication | 2014 | - |
| Subject | Second-order traffic flow models | en |
| Subject | Numerical modeling | en |
| Subject | Relaxation schemes | en |
| Subject | High-resolution | en |
| Bibliographic Citation | A. 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.2014.04.004 | en |
Copyright © DIAS 2013
