Institutional Repository
Technical University of Crete
Technical University of Crete
EN
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EL
| URI: | http://purl.tuc.gr/dl/dias/C7D49F82-C28D-4C2A-92B0-ECD54A3F1BDB | ||
| Year | 2018 | ||
| Type of Item | Master Thesis | ||
| License |
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| Bibliographic Citation | Leonidas Bolaris, "High-resolution numerical approximations to secondorder macroscopic traffic flow models", Master Thesis, School of Production Engineering and Management, Technical University of Crete, Chania, Greece, 2018 https://doi.org/10.26233/heallink.tuc.79283 | ||
| Appears in Collections |
In the paper we will study the numerical approach of some, widely applied, second order macroscopic traffic models. A relaxation approach of macroscopic models is taken into account. Using the relaxation approach, non-linear differential equations are transformed into a semi-linear distortable problem with linear characteristic variables and stiff sources. In order to solve the relaxation system, low and high-resolution reconstructions in the site and explicit Runge-Kutta time integration schemes are examined. The family of spatial discrepancies includes a second-order MUSCL approach and a fifth-order WENO. Emphasis is put on the WENO system and its performance to solve different traffic models. In order to prove the effectiveness of the proposed approach, extensive numerical tests are conducted for the different models. traffic flow.
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