JournalsifbVol. 10 , No. 2DOI 10.4171/ifb/186

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

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.