Pressure Sensor-based Flow Estimation in a Wake-flow Model: Influence of Sensor Location.

Estimation of an unsteady velocity field with remote sensors is an important tool for many technological applications and an integral part of flow control strategies. Many works in the current literature have implemented sensor-based flow estimation via pressure-velocity correlations in wake-flows (e.g. Hosseini et al. 2015). Using the theoretical model of von K\'{a}rm\'{a}n Vortex Street, the aim of this work is to (i) understand whether sensor placement impact in the performance of the estimators. (ii) What is the benefit of using Quadratic Stochastic Estimation (QSE) relative to Linear Stochastic Estimation? (iii) What is the benefit of formulating QSE into a set of orthogonal regressors? It will be shown that the discrete pressure information location relaxes the training method requirement and a proper selection of an orthogonal basis for the estimator reduces overfitting.