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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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URI: http://purl.tuc.gr/dl/dias/229FA40F-F2FC-4747-B0CD-EE1B4ED7B0BF
Year 2014
Type of Item Conference Full Paper
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Summary

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 reconstructionsin 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.

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