Transport phenomena in the urban street canyon

TL;DR

This paper develops a comprehensive hydrodynamical model for urban street canyons to optimize traffic control, aiming to reduce travel time and pollutant emissions through advanced mathematical and numerical methods.

Contribution

It introduces a novel continuum field hydrodynamical control model for urban street canyons, integrating vehicle and pollutant dynamics with optimal control strategies.

Findings

Optimal control solutions reduce total travel time and emissions.

Numerical methods effectively solve complex hydrodynamical optimization problems.

Model validation includes comparison with experimental data.

Abstract

A generic proecological traffic control model for the urban street canyon is proposed by development of advanced continuum field hydrodynamical control model of the street canyon. The model of optimal control of street canyon dynamics is also investigated. The mathematical physics' approach (Eulerian approach) to vehicular movement, to pollutants' emission, and to pollutants' dynamics is used. The rigorous mathematical model is presented, using hydrodynamical theory for both air constituents and vehicles, including many types of vehicles and many types of pollutants emitted from vehicles. The six proposed optimal monocriterial control problems consist of minimization of functionals of the total travel time, of global emissions of pollutants, and of global concentrations of pollutants, both in the studied street canyon, and in its two nearest neighbour substitute canyons, respectively. The six optimization problems are solved numerically. Generic traffic control issues are inferred. The discretization method, comparison with experiment, mathematical issues, and programming issues are discussed.