Riemann Problem for the Aw–Rascle Model of Traffic Flow with General Pressure

Abstract

Riemann problem for the Aw–Rascle model of traffic flow with general pressure law is solved analytically. The Riemann solutions with three or four kinds of different structures involving the delta shock wave in three cases are obtained. For the delta shock wave, the generalized Rankine–Hugoniot relation and entropy condition are clarified. The theoretical analysis is confirmed by the numerical results finally.