Communications in Mathematical Sciences

Volume 5 (2007)

Number 3

Transport-equilibrium schemes for computing contact discontinuities in traffic flow modeling

Pages: 533 – 551

DOI: http://dx.doi.org/10.4310/CMS.2007.v5.n3.a2

Authors

Christophe Chalons

Paola Goatin

Abstract

We present a very efficient numerical strategy for computing contact discontinuities in traffic flow modeling. We consider the Aw-Rascle model, and the objective is to remove spurious oscillations generated for instance by the Godunov method near contact discontinuities. The method is mixed and based on both a random sampling strategy and the Godunov method. To prove the validity of the method, we show that it enjoys important stability properties and propose numerical tests. The convergence of the algorithm is demonstrated numerically.

Keywords

hyperbolic conservation laws; continuous traffic models; contact discontinuities; transport-equilibrium scheme

2010 Mathematics Subject Classification

35L60, 35L65, 65M99

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