JournalsifbVol. 10, No. 2pp. 197–221

Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling

  • Christophe Chalons

    Université Pierre et Marie Curie-Paris 6, France
  • Paola Goatin

    Université du Sud Toulon - Var, La Valette Du Var, France
Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling cover
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Abstract

A new version of Godunov scheme is proposed in order to compute solutions of a traffic flow model with phase transitions. The scheme is based on a modified averaging strategy and a sampling procedure. Several numerical tests are shown to prove the validity of the method. The convergence of the algorithm is demonstrated numerically. We also give a higher order extension of the method in space and time.

Cite this article

Christophe Chalons, Paola Goatin, Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling. Interfaces Free Bound. 10 (2008), no. 2, pp. 197–221

DOI 10.4171/IFB/186