The Aw-Rascle vehicular traffic flow model with phase transitions

We introduce a new model of vehicular traffic flow with phase transitions. The model is obtained by coupling together the classical Lighthill-Whitham-Richards equation with the 2 x 2 system proposed by Aw and Rascle. This allows us both to correct some drawbacks of the original 2 x 2 system, and to obtain results that fit experimental data well. We describe the solutions of the Riemann problem, and we compare the results with those obtained using other models. (c) 2006 Elsevier Ltd. All rights reserved.