Advanced simulation tools, particularly large-eddy simulation techniques, are becoming capable of making quality predictions of jet noise for realistic nozzle geometries and at engineering relevant flow conditions. Increasing computer resources will be a key factor in improving these predictions still further. Quality prediction, however, is only a necessary condition for the use of such simulations in design optimization. Predictions do not of themselves lead to quieter designs. They must be interpreted or harnessed in some way that leads to design improvements. As yet, such simulations have not yielded any simplifying principals that offer general design guidance. The turbulence mechanisms leading to jet noise remain poorly described in their complexity. In this light, we have implemented and demonstrated an aeroacoustic adjoint-based optimization technique that automatically calculates gradients that point the direction in which to adjust controls in order to improve designs. This is done with only a single flow solutions and a solution of an adjoint system, which is solved at computational cost comparable to that for the flow. Optimization requires iterations, but having the gradient information provided via the adjoint accelerates convergence in a manner that is insensitive to the number of parameters to be optimized.Keywords: jet noise, optimal control, adjoint-based optimization, computational aeroacoustics
BackgroundAircraft jet exhausts remain loud, which continues to motivate efforts to suppress their noise. Chevroned nozzle lips [1, 2], nozzle-exit plasma actuators [3, 4], fluidic actuators [5], and many other techniques are currently being explored for this objective. Seemingly without exception, a significant degree of parametric exploration is employed in these efforts. This is because jet noise, unlike many flow phenomena, has no readily harnessed this-does-that mechanistic description at fixed global flow conditions. We have Lighthill's famous strong power-law sensitivity of radiated power to velocity ("a high power, near the eighth" [6]), but no correspondingly simple guidelines exist for what changes to make at fixed flow condition to suppress noise. The complex interplay between the jet turbulence and radiated sound, added to the underlying complexity of the turbulence itself, is the root cause of this. It is a problem of describing this complexity in a useful way. Acoustic analogy formulations, in which acoustic sources are crafted based upon estimates of turbulence statistics [7,8,9,10], have increased in their robustness to errors in these estimates [11], but such formulations have not yet yielded a flexible general method because they depend upon describing the complexity of the underlying turbulence in an accessible fashion.