Proper orthogonal decomposition, dynamic mode decomposition, wavelet and cross wavelet analysis of a sloshing flow

Internal hydrodynamics and its coupling with structural dynamics are non-negligible processes in the design phase of aerospace systems. An improved understanding nature this would allow for greater flexibility modeling such systems, could lead eventually to development suitable active and/or passive control strategies enhanced performances. In manuscript we apply a number data analysis techniques: proper orthogonal decomposition, dynamic mode decomposition wavelet transform their combination time-resolved images liquid sloshing within an enclosure. We use these techniques identify fluid-dynamic modes space time verify vibrating structures. particular consider transient case water tank mounted on free oscillating cantilever. As acceleration amplitude decays, observe quantify transition from incoherent flow standing waves. Our results show that content is very informative can be used quantitative analysis. main outcome, hydrodynamic identified using POD DMD, related known features flow, as frequency first symmetric surface mode. Additionally perform comparison transforms coefficients measured signals at base. Viewing latter input former output system, able correlate damping cantilever oscillation different regimes field.