Flow Control with Data-Driven Approaches
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The optimization and control of the flow in fluid dynamics constitute a research area of high interest with numerous industrial applications. These applications include enhancing the efficiency of industrial devices, reducing drag, and designing various components. One of the strategies used for flow control is the structural sensitivity. The regions of the domain where the flow is more susceptible to modifications can be found through the structural sensitivity. These regions can be calculated by means of linear stability analysis, combining the direct and adjoint eigenfunctions obtained solving the direct and adjoint stability problems. Recently, a novel algorithm has been proposed to calculate the structural sensitivity in non-linear flows. The methodology uses higher order dynamic mode decomposition (HODMD) to identify the modes leading the main flow dynamics. The method calculates the so-called non-linear structural sensitivity without solving the adjoint equations and gives an approximation of the spatial regions where the flow is more sensitive. In this work, this novel methodology is applied to complex databases, which includes reactive flows (combustion) and non-reactive flows with the properties of fuels (non-Newtonian fluids).