The Viscosity Effect on Velocity of a Macroscopic Vehicular Traffic Model

https://doi.org/10.26552/com.C.2021.2.A80-A93

  • Erick Javier Lopez-Sanchez
  • Norma Yanet Sanchez-Torres
  • Patricia Eugenia Olivera Martinez
Keywords: Greenberg traffic model, viscosity, vehicular density, vehicular velocity, numerical simulations

Abstract

Traffic in Mexico City poses a serious problem of vehicle saturation that causes a decrease in speed and increased transport time in the streets that suffer mobility collapses. A macroscopic model of vehicular traffic is used to show the effect of viscosity on the vehicular variables (speed and vehicle density), applied to two avenues in Mexico City, is studied. The input parameters were calculated following the Greenberg model. As the original model presents numerical divergences, the two assumptions corresponding to conservation of the vehicle’s mass and the viscous term are modified. The results suggest that the viscosity depends on time and that it can be adapted to recommend modifications in urban mobility parameters, or even to implement the public planning policies in construction of infrastructure for urban transport, to make vehicle flow more efficient.

Author Biographies

Erick Javier Lopez-Sanchez

Faculty of Philosophy and Letters, National Autonomous University of Mexico, Coyoacan, Mexico

Norma Yanet Sanchez-Torres

Faculty of Sciences, National Autonomous University of Mexico, Coyoacan, Mexico

Patricia Eugenia Olivera Martinez

Critical Urban Studies Seminar, Geography Department, Faculty of Philosophy and Letters, National Autonomous University of Mexico, Coyoacan, Mexico

Published
2021-04-01
How to Cite
Erick Javier Lopez-Sanchez, Norma Yanet Sanchez-Torres, & Patricia Eugenia Olivera Martinez. (2021). The Viscosity Effect on Velocity of a Macroscopic Vehicular Traffic Model. Communications - Scientific Letters of the University of Zilina, 23(2), A80-A93. https://doi.org/10.26552/com.C.2021.2.A80-A93
Section
Operation and Economics in Transport