Abstract

VEGA-FUENTES, Carlos Arturo  and  BOLANO-BENITEZ, Edwin. On the implementation of adaptive multiresolution spectral WENO scheme for the multiclass Lighthill-Whitham-Richards traffic model. Rev.fac.ing.univ. Antioquia [online]. 2014, n.73, pp.69-78. ISSN 0120-6230.

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 characteristicbased schemes combined with AMR (Adaptive Mesh Refinement) strategy.

Keywords : Adaptive multiresolution; Lighthill-Whitham- Richards kinematic traffic model; WENO schemes; conservation laws.

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