POD-based observer for estimation in Navier-Stokes flow

In this paper, we propose a POD-based technique that is suitable for the design of reliable observers for the estimation of velocity field and contaminant flow for Navier–Stokes flow. POD modes are conccepted 7 December 2009 vailable online 13 January 2010 eywords: odel reduction roper orthogonal decomposition structed using the method snapshot. Karhunen–Loeve (Galerkin) projection 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 estimate of the velocity field is then used to estimate the concentration field of a contaminant from the 2D advection–diffusion equation. The prime application considered is the estimation of airflow and contaminant flow in building systems. A 2D simulation example is provided to demonstrate the applicability uilding systems of the technique.