Navier-Stokes-like equations for traffic flow.
The macroscopic traffic flow equations derived from the reduced Paveri-Fontana equation are closed starting with the maximization of the informational entropy. The homogeneous steady state taken as a reference is obtained for a specific model of the desired velocity and a kind of Chapman-Enskog method is developed to calculate the traffic pressure at the Navier-Stokes level. Numerical solution of the macroscopic traffic equations is obtained and its characteristics are analyzed.
Velasco
R M
RM
Departamento de Física, Universidad Autónoma Metropolitana, 09340, Iztapalapa, México.
Marques
W
W