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Main Author: Carlos Arturo Vega-Fuentes
Format: Artículo científico
Language:en
Published: Universidad de Antioquia 2014
Subjects:
Online Access:https://www.redalyc.org/articulo.oa?id=43032606006
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author Carlos Arturo Vega-Fuentes
author_facet Carlos Arturo Vega-Fuentes
contents On the implementation of adaptive multiresolution spectral WENO scheme for the multiclass Lighthill-Whitham-Richards traffic model Carlos Arturo Vega-Fuentes Edwin Bolaño-Benítez Ingeniería Whitham Lighthill WENO schemes conservation laws Adaptive multiresolution 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. 2014 artículo científico 0120-6230 https://www.redalyc.org/articulo.oa?id=43032606006 en http://www.redalyc.org/revista.oa?id=430 Revista Facultad de Ingeniería Universidad de Antioquia application/pdf Universidad de Antioquia Revista Facultad de Ingeniería Universidad de Antioquia (Colombia) Num.73
format Artículo científico
id redalyc_43032606006
language en
publishDate 2014
publisher Universidad de Antioquia
spellingShingle On the implementation of adaptive multiresolution spectral WENO scheme for the multiclass Lighthill-Whitham-Richards traffic model
Carlos Arturo Vega-Fuentes
Ingeniería
Whitham
Lighthill
WENO schemes
conservation laws
Adaptive multiresolution
On the implementation of adaptive multiresolution spectral WENO scheme for the multiclass Lighthill-Whitham-Richards traffic model Carlos Arturo Vega-Fuentes Edwin Bolaño-Benítez Ingeniería Whitham Lighthill WENO schemes conservation laws Adaptive multiresolution 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. 2014 artículo científico 0120-6230 https://www.redalyc.org/articulo.oa?id=43032606006 en http://www.redalyc.org/revista.oa?id=430 Revista Facultad de Ingeniería Universidad de Antioquia application/pdf Universidad de Antioquia Revista Facultad de Ingeniería Universidad de Antioquia (Colombia) Num.73
title On the implementation of adaptive multiresolution spectral WENO scheme for the multiclass Lighthill-Whitham-Richards traffic model
topic Ingeniería
Whitham
Lighthill
WENO schemes
conservation laws
Adaptive multiresolution
url https://www.redalyc.org/articulo.oa?id=43032606006