Abstract
The exact Riemann solutions for a specially designated Aw-Rascle-Zhang traffic flow model are explicitly obtained by using the combination of 1-rarefaction or 1-shock wave with 2-contact discontinuity. The vacuum and delta shock formation is carefully identified and analyzed in the Riemann solutions when both the two perturbed parameters in the combined pressure term drop to zero simultaneously, where the intrinsic cavitation and concentration phenomena are concretely surveyed and explored. Additionally, our theoretical analysis results are also validated through several representative numerical simulations.
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