Dynamic mode decomposition-based reconstructions for fluid–structure interactions: An application to membrane wings

Four data-driven low-order modeling approaches, Dynamic mode decomposition (DMD) and three other variations (optimal decomposition, total-least-squares DMD high-order DMD), are used to capture the spatio-temporal evolution of fluid–structure interactions. These methods applied experimental data obtained in a flow over flexible membrane wing its elastic deformation. Spectral coherence indicates there exists an interaction between structural deformation at single frequency for this problem (depending on angle attack and/or presence ground). It is therefore ideal dataset assess performance four different terms relevant modes/frequencies reconstruction We show that detect same dominant (within Fourier resolution) qualitatively associated mode. However, modes appear be heavily damped or amplified preventing successful structure (except when using DMD). This persists even if damping coefficients set 0 due imprecision estimation frequency. The assessed by means average correlation real reconstructed fields corresponding 0.42 0.85 fluid respectively (and virtually methods). Based analysis, we conclude DMD, particularly modeled simultaneously, most suitable method generate linear models problems. Further, not dependent relative energies