Communications in Mathematical Sciences
Volume 5 (2007)
Transport-equilibrium schemes for computing contact discontinuities in traffic flow modeling
Pages: 533 – 551
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.
hyperbolic conservation laws; continuous traffic models; contact discontinuities; transport-equilibrium scheme
2010 Mathematics Subject Classification
35L60, 35L65, 65M99