Intrinsic phenomena of delta shock waves in a more realistic Chaplygin Aw–Rascle model

The aim of this study is to find the Riemann solutions of the Aw–Rascle model with a more realistic version of extended Chaplygin gas. First, we establish the Riemann solutions with two different structures, viz., a shock wave followed by the contact discontinuity and a rarefaction wave followed by the contact discontinuity. Further, by analysing the limiting behaviour, it is found that one of the Riemann solutions converges to the δ-shock solution as the pressure approaches to generalised Chaplygin gas pressure. Moreover, numerical simulations have been performed to validate the theoretical analysis.