Low-Dimensional Proper Orthogonal Decomposition Modeling as a Fast Approach of Aerodynamic Data Estimation

Abstract

The proper orthogonal decomposition (POD) method is used and assessed as a fast technique for estimation of aerodynamics data with variation of some aerodynamics parameters. In this way, four extensions to the POD method are considered for steady viscous/inviscid compressible aerodynamic applications. The first extension is a coupling between the POD method with a cubic spline interpolation, as introduced for inviscid flows. The second and the third ones are essentially new techniques which are introduced here for the first time. In these methods, some additional calibrations (including a kind of filtering and reprojection) are needed to achieving more accurate estimations. The so-called gappy POD, is considered as the fourth extension, which is a known method in reconstruction and repairing the missed aerodynamics data. The methods are applied on the steady viscous and inviscid flows and for subsonic, transonic, and supersonic flow regimes. The results show good agreements between the new proposed methods and the other methods.