Toward resolvent-based estimation and control of high-speed turbulent jets

Reducing noise produced by high-speed jets is an important goal for civil and military aviation.   Strong links exist between turbulent structures in the jet nozzle, downstream wavepackets, and far-field noise; resolvent analysis offers an effective lens to examine these complex interactions.  This work aims to build on the success of resolvent analysis as a jet-noise model by using recently developed resolvent-based estimation and control tools (Martini et al., J. Fluid Mech. Vol. 937: A19, 2022) to cancel noise-generating wavepackets and reduce far-field noise.  We discuss the implementation of these tools in a large-scale unstructured compressible solver and provide an initial demonstration of their capabilities by estimating and controlling axisymmetric wavepackets in a high-speed jet.  We also explore a data-driven approach for building the resolvent-based estimation & control kernels as well as other considerations such as the placement of sensors/actuators, the selection of control targets, and the extension from the axisymmetric framework to the fully three-dimensional case.