2010/11/30 by Marques, W., Mendez, A. R.
#45.70.Vn Keywords: kinetic traffic model #47.90.+a #51.10.+y #Cellular Automata and Lattice Gases (nlin.CG) #FOS: Physical sciences #Mathematical Physics (math-ph) #Navier-Stokes-like traffic equations #Pacs: 89.40.-a #aggressive drivers
paper · doi:10.48550/arxiv.1011.6603
Based on a Boltzmann-like traffic equation for aggressive drivers we construct in this paper a second-order continuum traffic model which is similar to the Navier-Stokes equations for viscous fluids by applying two well-known methods of gas-kinetic theory, namely: the Chapman-Enskog method and the method of moments of Grad. The viscosity coefficient appearing in our macroscopic traffic model is not introduced in an ad hoc way - as in other second-order traffic flow models - but comes into play through the derivation of a first-order constitutive relation for the traffic pressure. Numerical simulations show that our Navier-Stokes-like traffic model satisfies the anisotropy condition and produces numerical results which are consistent with our daily experiences in real traffic.