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Computing Phase Transitions Arising In Traffic Flow Modeling
Published 2008 · Computer Science
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We propose a numerical scheme in order to compute the solutions of a traffic flow model with phase transitions. The model has been introduced by Colombo  in order to explain empirical flow-density relations. For low densities, the flow is free and is described by a scalar conservation law (LighthillWhitham  and Richards  (LWR) model). At high densities the flow is congested and is described by a 2 × 2 system. We get