A Reduced Order Model for Compressible Flow Estimation, Based on POD Method, Using Interpolation and Extrapolation of High Level Energy Modes

This article introduces a method for fast estimation of aerodynamic coefficients and flow field data reconstruction around a NACA0012 airfoil، based on proper orthogonal decomposition (both in subsonic and supersonic regimes). Also، the effects of snapshot numbers and their arrangements in reconstruction procedure have been investigated. In this method، a combined form of POD، cubic spline interpolation، and polynomial extrapolation method، has been used for estimation of gappy data of the flow field with respect to the variations of angle of attack and Mach number. The proposed method predicts the required data much faster than CFD with appropriate accuracy. Finally، the results were compared with related CFD ones، showing relatively close agreements.