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Airflow velocity estimation in building systems

In this paper, we propose a POD-based technique that is suitable for the design of reliable observers for the estimation of velocity field from 2D and 3D Navier-Stokes flow. POD modes are constructed using the method snapshot. Karhunen-Loeve (Galerkin) projections are used to develop a reduced-order model obtained by projecting the velocity field onto the most important POD modes. The resulting finite-dimensional dynamical system is suitable for the design of nonlinear observers. The prime application considered considered is the estimation of airflow in building systems. Two examples are provided to demonstrate the applicability of the technique.