Adjoint-Based Optimization and Control of Complex Dynamics in Fluid Systems

摘要

The focus of this work was on the synthesis of control and optimization theory, numerical methods, and fluid mechanics. There are three primary thrusts in our study of model-based flow control: Optimization, Feedback, and Characterization of Fundamental Limitations. Work on this contract focused primarily on some delicate unsolved problems related to regularization in the first of these three areas, optimization, and how, by addressing these problems, some practical applications involving the adjoint analysis of complex turbulent flows (specifically, the mixing of cross-flow dilution jets in a jet engine combustor) could be tackled that could not formerly be considered using these approaches. Work on this problem led directly to significant advancements in the other two areas as well (that is, feedback and characterization of fundamental limitations in fluid systems).