High-resolution relaxation approximations to second-order macroscopic traffic flow modelsHigh-resolution relaxation approximations to second-order macroscopic traffic flow models Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2014-10-022014enA novel numerical approach for the approximation of several, widely applied, macroscopic traffic flow models is presented. A relaxation-type approximation of second-order nonequilibrium 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.http://creativecommons.org/licenses/by-nc-nd/4.0/Transportation Research Part C: Emerging TechnologiesDelis_et_al_Transportation Research Part C_44_2014_manuscript.pdfChania [Greece]Library of TUC2014-10-02application/pdf21.0 MBfree Delis Anargyros Δελης Αναργυρος Nikolos Ioannis Νικολος Ιωαννης Papageorgiou Markos Παπαγεωργιου Μαρκος Elsevier Traffic incident management traffic congestion management traffic incident management