Calibration of Analytical Solutions to Problems of Pollutant Dispersion in the Surf Zone

Abstract

This work presents an example from a methodology for building mathematical expressions, who describe the behaviors of the dispersion of pollutants in the surf zone. This methodology is based in calibration of analytical solutions from the diffusion-advection equation. Simple cases of dispersion were defined mathematically, then solved by classical mathematical methods, such integral transforms and similarity solutions. Then the analytical solutions were calibrated by an optimization technique, to fit the results of a more complex dispersion case, that was solved numerically in other work.