Nikolos IoannisΝικολος ΙωαννηςDelis AnargyrosΔελης ΑναργυροςPapageorgiou MarkosΠαπαγεωργιου Μαρκος2024-10-312024-10-3120142015-03-30I. 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: 10.1063/1.4912741https://dspace.library.tuc.gr/handle/123456789/780The 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.A 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.enhttp://creativecommons.org/licenses/by-nc-nd/4.0/Second-order traffic flow modelsRelaxation schemesNumerical modelingΠλήρης Δημοσίευση σε Συνέδριο