Estimation of fluctuating pressure fields via time-mean flow and pointwise measurements

A novel method to estimate pressure fields from pointwise velocity measurements is presented. As opposed to other existing methodologies, time-resolved full velocity fields are not required. The methodology is based on a resolvent-based reduced-order model which requires the mean flow to obtain physical flow structures and pointwise measurement to calibrate their amplitudes. The technique is applied to the unsteady flow around an square cylinder at low Reynolds number. The potential of the methodology is demonstrated through good agreement between the fluctuating pressure distribution on the cylinder and the temporal evolution of the unsteady lift coefficient predicted by the model and those computed by direct numerical simulation.