Applying proper orthogonal decomposition to the computation of particle dispersion in a two-dimensional ventilated cavity

The Lagrangian technique is used to compute particle dispersion in a two-dimensional ventilated cavity. The instantaneous air velocity field at the particle's location is obtained by proper orthogonal decomposition (POD). The low-dimensional dynamic model is obtained by performing a Galerkin projection of the Navier-Stokes equations onto each POD eigenfunction and it is coupled with the particle's equation of motion. A substantial decrease in computing time (when comparing with LES computations) is noted. Two different cases of particles' injection are modelled: the particle source is located in the inlet in the first simulation, and close to the floor in the second simulation.