Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 44, Issue 3-4, Pages 287-303Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2006.01.016
Keywords
hyperbolic conservation laws; Riemann problem; phase transitions; continuum traffic models
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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.
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