Proper orthogonal decomposition for incompressible and compressible flows

In this project, reduced order modelling technique has been used to investigate incompressible and compressible flows. At first, Proper Orthogonal Decomposition (POD), Singular Value Decomposition (SVD) and Principal Component Analysis (PCA) have been used to analyze pulsed jet flow as an incompressible flow and supersonic impinging jet as a compressible flow. Then, two flows have been investigated from physics point of view and finally the link between physics of flows and modes have been studied. All investigations have been done based on the given data from Particle Image Velocimetry (PIV). These data have been analyzed by using MATLAB®. Finally, the link between POD, SVD and PCA modes and physics of flow have been investigated. To this aim, Turbulent Kinetic Energy (TKE) and Turbulent Production terms also have been compared with first energetic modes and fluctuating parts for two flows