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. 197–221DOI 10.4171/IFB/186