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Preprint 2006-052

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

Christophe Chalons and Paola Goatin

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.

Paper:
Available as PDF (392 Kbytes).
Author(s):
Christophe Chalons,
Paola Goatin,
Publishing information:
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Submitted by:
; 2006-12-19.