Reduced order modeling for contaminant transport and mixing in building systems: A case study using dynamical systems techniques

In this paper we propose a Lagrangian coherent structures (LCS) based approach to modeling and estimation of contaminant transport and mixing in large indoor spaces in buildings. Specifically, we show how the knowledge of LCS can be exploited to enhance proper orthogonal decomposition (POD) based model reduction, sensor placement and comparing effect of different control schemes. We illustrate this approach in a three-dimensional room equipped with a mechanical ventilation system.