Reduced order model of inverse shape design and flow field analysis using combined form of geometrical and flow modes based on proper orthogonal decomposition

This paper presents a method for inviscid airfoil analysis and design optimization that uses reduced order models based on proper orthogonal decomposition. The aim of this research is about development of reduced order approach which can perform optimum design of aerodynamic surfaces based on solution of Euler equations. This model is reduced cost of computations compared with CFD simulation approach. Aerodynamic data is obtained from an inviscid flow simulation code using different airfoil geometries. The outcome model is based on combination of Proper Orthogonal Decomposition (POD) method with solution of least squares problem to obtain the pressure distribution or any desired criteria. For reconstruction of this model, snapshot of airfoil surface pressure distribution has been used. In one of the sections of this paper presents the airfoil inverse design model for a case which is out of snapshots ensemble’s vector space. The obtained results from reduced order model are compared with direct CFD simulation and show good accuracy of the proposed approach.