Study on the energy dissipation of macroscopic traffic models

Abstract

In this paper, the energy dissipation formulas of the several typical macroscopic continuum models of traffic flow are derived according to the loss of the kinetic energy of traffic flow on road. The calculation of energy dissipation via two traffic cases: two Riemann initial conditions and the traffic bottleneck on the road indicates the energy dissipation of macroscopic traffic mode is influenced by not only the velocity reduction of the vehicle, but also the velocity gradient of the vehicle and the traffic density along the road, which is different from the result obtained from the CA model.