Stochastic Lagrangian Particle Model

Air dispersion modelling has become one of the main tools in the study of air quality whereby it is a key element in most environmental impact assessments.

The Stochastic Lagrangian Particle Model assumes that each source emits a large number of particles, and each particle follows a random path around the mean wind vector. This path is updated with every time step. Predictions of pollutant concentration are obtained by counting the number of particles in a given volume of air. This model includes randomness which can be modelled using SDE’s. The model is expanded to incorporate diverse source types, deposition processes, and reflection processes in alpine regions in order to forecast a concentration profile.