On the implementation of adaptive multiresolution spectral WENO scheme for the multiclass Lighthill-Whitham-Richards traffic model
In this paper, the implementation of a spectral or characteristic-based fifth order WENO (Weighted Essentially Non-Oscillatory) scheme is described in detail along with an adaptive multiresolution technique for efficiently computing the numerical solution of a multi-class tr...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universidad de Antioquia
2014-11-01
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| Series: | Revista Facultad de Ingeniería Universidad de Antioquia |
| Subjects: | |
| Online Access: | https://revistas.udea.edu.co/index.php/ingenieria/article/view/17574 |
| Summary: | In this paper, the implementation of a spectral or characteristic-based fifth order WENO (Weighted Essentially Non-Oscillatory) scheme is described in detail along with an adaptive multiresolution technique for efficiently computing the numerical solution of a multi-class traffic flow model described mathematically by a nonlinear system of conservation laws. In [1] the authors considered the same problem but in a component-wise manner. More recently, [2] conducted numerical experiments by using characteristic-based schemes combined with AMR (Adaptive Mesh Refinement) strategy.
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| ISSN: | 0120-6230 2422-2844 |