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Continuum field model of street canyon : theoretical description. Part 1

Duras M. M.

Engineering Transactions

2000

Vol. 48, iss. 4

415-432

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.

Continuum field model of street canyon : numerical examples. Part 2

Duras M. M.

Engineering Transactions

2000

Vol. 48, iss. 4

433-448

Continuum field control model of a street canyon is considered. The six separate monocriterial optimal 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 for the functionals are solved numerically. General traffic control issues are inferred. The discretization method, comparison with experiment, mathematical issues, and programming issues, are presented.