Gasdynamic model of street canyon

TL;DR

This paper presents a comprehensive gasdynamical model for urban street canyons, integrating vehicle movement and pollutant dynamics to optimize traffic control and reduce emissions.

Contribution

It introduces a novel continuum field gasdynamical model for street canyon traffic and pollution control, combining mathematical physics with optimal control strategies.

Findings

Numerical simulations demonstrate the model's effectiveness.

Comparison with measurements validates the model.

Traffic engineering conclusions support practical applications.

Abstract

A general proecological urban road traffic control idea for the street canyon is proposed with emphasis placed on development of advanced continuum field gasdynamical (hydrodynamical) control model of the street canyon. The continuum field model of optimal control of street canyon is studied. 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 gasdynamical (hydrodynamical) theory for both air constituents and vehicles, including many types of vehicles and many types of pollutant (exhaust gases) emitted from vehicles. The six optimal control problems are formulated and numerical simulations are performed. Comparison with measurements are provided. General traffic engineering conclusions are inferred.