On the implementation of adaptive multiresolution spectral WENO scheme for the multiclass Lighthill-Whitham-Richards traffic model

Authors

Keywords:

Adaptive multiresolution, Lighthill-Whitham-Richards kinematic traffic model, WENO schemes, conservation laws

Abstract


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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Author Biographies

Carlos Arturo Vega-Fuentes, Universidad del Norte

Full-time Professor, Department of Mathematics and Statistics, Basic Sciences Division

Edwin Bolaño-Benítez, Universidad del Norte

Department of Mathematics and Statistics, Division of Basic Sciences

References

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Published

2014-11-13

How to Cite

Vega-Fuentes, C. A., & Bolaño-Benítez, E. (2014). On the implementation of adaptive multiresolution spectral WENO scheme for the multiclass Lighthill-Whitham-Richards traffic model. Revista Facultad De Ingeniería Universidad De Antioquia, (73), 69–78. Retrieved from https://revistas.udea.edu.co/index.php/ingenieria/article/view/17574