The Theory and Mathematical Development of AIRPOL-4

About the report:

This is the first in a series of reports documenting the Virginia Department of Highways & Transportation line source model for predicting carbon monoxide concentrations within the microscale environments of highways. The purpose of this first report is to provide a detailed introduction to and verification of the theoretical development of AIRPOL-4, a true Gaussian formulation enhanced by several theoretical and computational innovations. These innovations establish AIRPOL-4 as a major advancement in the field of air quality modeling. Specifically, the mathematical development of the conceptual aspect of the model demonstrates AIRPOL-4's ability to correctly analyze 1. receptors upwind of a roadway, 2. all wind speeds > 0, 3. any sampling interval, 4. urban environments, 5. all traffic speeds > 0, and 6. at grade, cut, and fill geometries. Furthermore, the algorithmic development of the model firmly establishes AIRPOL-4's position as a very efficient and very accurate model. The second report in this series provides the definitive experimental evidence of AIRPOL-4's prepotent predictive performance and cost effectiveness.

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