Applications of proper orthogonal decomposition for inviscid transonic aerodynamics, tech

Abstract—Two extensions to the proper orthogonal decomposi-tion (POD) technique are considered for steady transonic aerody-namic applications. The first is to couple the POD approach with a cubic spline interpolation procedure in order to develop fast, low-order models that accurately capture the variation in parameters, such as the angle of attack or inflow Mach number. The second extension is a POD technique for the reconstruction of incomplete or inaccurate aerodynamic data. First, missing flow field data is constructed with an existing POD basis constructed from complete aerodynamic data. Second, a technique is used to develop a com-plete snapshots from an incomplete set of aerodynamic snapshots. I