Communications in Mathematical Sciences

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

Christophe Chalons and Paola Goatin

Full-text: Open access

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.

Article information

Source
Commun. Math. Sci., Volume 5, Issue 3 (2007), 533-551.

Dates
First available in Project Euclid: 29 August 2007

Permanent link to this document
https://projecteuclid.org/euclid.cms/1188405667

Mathematical Reviews number (MathSciNet)
MR2352330

Zentralblatt MATH identifier
1141.35412

Subjects
Primary: 35L60: Nonlinear first-order hyperbolic equations 35L65: Conservation laws 65M99: None of the above, but in this section

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

Citation

Chalons, Christophe; Goatin, Paola. Transport-equilibrium schemes for computing contact discontinuities in traffic flow modeling. Commun. Math. Sci. 5 (2007), no. 3, 533--551. https://projecteuclid.org/euclid.cms/1188405667


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