Influence of vortex models on the prediction of 2D airfoil vortex interaction

Four different semi-empirical vortex models, namely the Rankine, Taylor, Scully and Vatistas vortices are applied to the analysis of airfoil-vortex interaction in order to understand their effect on the aerodynamic and aeroacoustic predictions. Two interaction problems are analysed, considering the NACA0012 airfoil first in subcritical and then in supercritical conditions. The aerodynamic analysis is performed using an Euler solver with a second order upwind finite-volume scheme in space and second order accurate implicit time integration using dual time-step sub-iteration. The aeroacoustic predictions are obtained using a permeable surface integral formulation of the Ffowcs Williams-Hawkings equation. The effects of the different vortex models are compared by calculating the ΔP field, which is the difference between two vortex induced pressure fields.